expand the brackets
1.
[tex]3(2x + 5)[/tex]
2.
[tex]7(p + 3q)[/tex]
3.
[tex]3m(n - 2m)[/tex]

Answers

Answer 1

[tex]1)\ 3(2x + 5) = 6x + 15\\\\2)\ 7(p + 3q) = 7p + 21q\\\\3)\ 3m(n - 2m) = 3mn - 6m^2\\\\[/tex]

Solution:

Given that,

We have to expand the brackets

Use distributive property,

a(b + c) = ab + bc

Multiply the number in front of parenthesis with each term inside the parenthesis and then add them together

1)

[tex]3(2x + 5) = 3 \times 2x + 3 \times 5\\\\3(2x + 5) = 6x+15[/tex]

-------------------------------------------------

2)

[tex]7(p + 3q) = 7 \times p + 7 \times 3q\\\\7(p + 3q) =7p + 21q[/tex]

----------------------------------------------------

3)

[tex]3m(n-2m) = 3m \times n - 3m \times 2m\\\\3m(n-2m) = 3mn - 6m^2[/tex]

Thus the given expressions are expanded using distributive property


Related Questions

What is the 10th term 1,
1/2,1/4

Answers

Answer:

The 10th term will be:

                                                         [tex]a_{10}=\frac{1}{512}[/tex]

Step-by-step explanation:

Considering the sequence

[tex]1,\:\frac{1}{2},\:\frac{1}{4}...[/tex]

A geometric sequence has a constant ratio r and is defined by

[tex]a_n=a_0\cdot r^{n-1}[/tex]

[tex]\mathrm{Compute\:the\:ratios\:of\:all\:the\:adjacent\:terms}:\quad \:r=\frac{a_{n+1}}{a_n}[/tex]

[tex]\frac{\frac{1}{2}}{1}=\frac{1}{2},\:\quad \frac{\frac{1}{4}}{\frac{1}{2}}=\frac{1}{2}[/tex]

[tex]\mathrm{The\:ratio\:of\:all\:the\:adjacent\:terms\:is\:the\:same\:and\:equal\:to}[/tex]

[tex]r=\frac{1}{2}[/tex]

[tex]\mathrm{The\:first\:element\:of\:the\:sequence\:is}[/tex]

[tex]a_1=1[/tex]

[tex]\mathrm{Therefore,\:the\:}n\mathrm{th\:term\:is\:computed\:by}\:[/tex]

[tex]a_n=\left(\frac{1}{2}\right)^{n-1}[/tex]

Putting n = 10 to determine in the nth term to determine the 10th term

[tex]a_{10}=\left(\frac{1}{2}\right)^{10-1}[/tex]

[tex]a_{10}=\left(\frac{1}{2}\right)^9[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}[/tex]

[tex]a_{10}=\frac{1^9}{2^9}[/tex]

[tex]a_{10}=\frac{1}{2^9}[/tex]     ∵ [tex]1^9=1[/tex]

[tex]a_{10}=\frac{1}{512}[/tex]     ∵  [tex]2^9=512[/tex]

Therefore, the 10th term will be:

                                                         [tex]a_{10}=\frac{1}{512}[/tex]

Which equation represents a function?
OA) x = -2y2
OB) x = y2 - 9
OC) x2 + y2 = 1
OD) y= 3x2 + 2

Answers

The correct equation which represents a function is,

⇒ y= 3x² + 2.

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

To find the correct equation which represents a function.

Now, We know that;

The equation that represents a function is option D,

⇒ y= 3x² + 2.

This is because for every value of x, there is a unique value of y.

In other words, each x value has only one corresponding y value.

And, The other options either have multiple outputs for the same input or do not qualify as a function for other reasons.

Thus, The correct equation which represents a function is,

⇒ y= 3x² + 2.

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2. A boy who is 5 feet 6 inches tall casts a shadow that is 8 feet and 3 inches long. What is the measure of the
angle of elevation of the sun, A, as shown in the picture. Round to the nearest degree. Be careful with your
units in this problem.

Answers

Answer:

34°

Step-by-step explanation:

The boy is 5 feet 6 inches tall.

The boy casts a shadow that is 8 feet and 3 inches long.

We know 12 inches equal 1 foot.

Therefore the boy's height is 5.5ft and the shadow is 8.25ft.

The angle of elevation of the sun is given by the tangent of the angle A.

[tex] \tan(A) = \frac{5.5}{8.25} [/tex]

[tex]\tan(A) = 0.6667[/tex]

[tex]A= {\tan}^{ - 1} (0.6667)[/tex]

[tex]A=33.69 \degree[/tex]

To nearest degree is 34°

Answer: 34 degrees

Step-by-step explanation:

the boy is 5’6

5x12=60+6=66

The shadow is 8’3

8x12=96+3=99

You would use tan(X)= 5.5/8.25

calculate to get 33.69 round to 34.

The sum of three consecutive odd numbers is 123 what is the smallest of the three numbers

Answers

Answer:

39

Step-by-step explanation:

Let the three consecutive odd numbers be:

x+2, x+4, x+6.

The sum of the consecutive numbers is 123 i.e

x+2 + (x+4) + (x+6) = 123

x + 2 + x + 4 + x + 6 = 123

3x + 12 = 123

Collect like terms

3x = 123 — 12

3x = 111

Divide both side by the coefficient of x i.e 3

x = 111/3

x = 37

Now let us find the value of the three odd numbers. This is illustrated:

1st : x + 2 = 37 + 2 = 39

2nd : x + 4 = 37 + 4 = 41

3rd : x + 6 = 37 + 6 = 43

The smallest of the three consecutive odd numbers is 39

make b the subject of the formula a = *square root* b+6

Answers

The required formula with b subject is [tex]b = a^{2} - 6[/tex].

Given that ,

a is the subject of the formula,

[tex]a = \sqrt{ b + 6}[/tex]

We have to make b is the subject for the formula,

[tex]a = \sqrt{ b + 6}[/tex]

Squaring both the sides,

[tex]a^{2} = b + 6[/tex]

[tex]b = a^{2} - 6[/tex]

Hence , The required formula with b subject is [tex]b = a^{2} - 6[/tex]

For more information about the Square of roots click the link given below.

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Final answer:

To make b the subject of the formula a = √(b+6), you need to isolate b on one side of the equation. The solution is b = a² - 6.

Explanation:

To make b the subject of the formula a = √(b+6), we need to isolate b on one side of the equation. Here are the steps:

Square both sides of the equation to remove the square root: a² = b + 6Subtract 6 from both sides: a² - 6 = b

Therefore, b = a² - 6.

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The product of two consecutive odd integers is equal to 30 more than the first. Find the integers.
This is solving quadratic word problems.

Answers

Answer:

The integers are

5 and 7

Step-by-step explanation:

Let

x ---> the first consecutive odd integer

x+2 ---> the second consecutive odd integer

we know that

The algebraic expression that represent this situation is

[tex]x(x+2)=x+30[/tex]

solve for x

[tex]x^2+2x=x+30\\x^2+2x-x-30=0\\x^2+x-30=0[/tex]

Solve the quadratic equation

The formula to solve a quadratic equation of the form

[tex]ax^{2} +bx+c=0[/tex]

is equal to

[tex]x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}[/tex]

in this problem we have

[tex]x^{2} +x-30=0[/tex]  

so

[tex]a=1\\b=1\\c=-30[/tex]

substitute in the formula

[tex]x=\frac{-1\pm\sqrt{1^{2}-4(1)(-30)}} {2(1)}[/tex]

[tex]x=\frac{-1\pm\sqrt{121}} {2}[/tex]

[tex]x=\frac{-1\pm11} {2}[/tex]

[tex]x=\frac{-1+11} {2}=5[/tex]

[tex]x=\frac{-1-11} {2}=-6[/tex]  ---> is not a odd integer

For x=5

The numbers are

[tex]x=5\\x+2=7[/tex]

so

5 and 7

Which of the following best explains the value of sinä on the u
sual holnw?

Answers

I think your answer is right

DIUILUUUUUUUUULIC POLL
8
Stephanie is paid $1898 per fortnight and Tahlia $3821 per month. Calculate each person's
equivalent annual income. Who earns more per week and by how much?
1
.
1
L
ol

Answers

Je moet tien miljard dollar in het niet zo

Final answer:

Stephanie's annual income is $49,348, while Tahlia's is $45,852, making Stephanie's weekly earnings $67.61 higher than Tahlia's. Stephanie earns $949.38 per week, and Tahlia earns $881.77 per week.

Explanation:

To calculate each person's equivalent annual income, we must standardize their earnings to a common time frame. We consider a year to have 26 fortnights and 12 months.

Stephanie's Annual Income

Stephanie is paid every fortnight, so we multiply her fortnightly income by the number of fortnights in a year:

$1898 per fortnight x 26 fortnights per year = $49,348 per year.

Tahlia's Annual Income

Tahlia is paid monthly, so we multiply her monthly income by the number of months in a year:

$3821 per month x 12 months per year = $45,852 per year.

To determine who earns more per week, we divide the annual income by the number of weeks in a year (52). Stephanie earns $949.38 per week ($49,348 / 52), while Tahlia earns $881.77 per week ($45,852 / 52). Stephanie earns more per week by:

$949.38 - $881.77 = $67.61.

Therefore, Stephanie earns $67.61 more than Tahlia per week.

The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is _____

Answers

Answer:

the x-coordinate is 1 in the graph

The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 A cube of gold weighs 652 grams. Calculate the length of the edge of the cube in centimeters. Answer with two decimal places.

Answers

The length of the edge of the cube is 3.23 cm .

Step-by-step explanation:

We have , The relationship between the weight y gram and the edge x cm for a cube of gold is y = 19.3x3 or [tex]y = 19.3x^3[/tex] .  A cube of gold weighs 652 grams i.e. y = 652 . Let's calculate value of x from above data:

[tex]y = 19.3x^3[/tex]

⇒ [tex]y = 19.3x^3[/tex]

⇒ [tex]652= 19.3x^3[/tex]

⇒ [tex]19.3x^3=652[/tex]

⇒ [tex]\frac{19.3}{19.3}x^3=\frac{652}{19.3}[/tex]

⇒ [tex]x^3=\frac{652}{19.3}[/tex]

⇒ [tex]\sqrt[\frac{1}{3} ]{x^3} = \sqrt[\frac{1}{3} ]{\frac{652}{19.3}}[/tex]

⇒ [tex]({x^3})^\frac{1}{3} =({\frac{652}{19.3}})^\frac{1}{3}[/tex]

⇒ [tex]x =(33.78)^\frac{1}{3}[/tex]

⇒ [tex]x =3.23[/tex]

Therefore, the length of the edge of the cube  is 3.23cm.

Which of the following expressions are equivalent to 4+(14-2)4+(14−2)4, plus, left parenthesis, 14, minus, 2, right parenthesis?
Choose 3 answers:
Choose 3 answers:

(Choice A)
A
4-(-14-2)4−(−14−2)4, minus, left parenthesis, minus, 14, minus, 2, right parenthesis

(Choice B)
B
(4-14)-2(4−14)−2left parenthesis, 4, minus, 14, right parenthesis, minus, 2

(Choice C)
C
4-(-14)-(2)4−(−14)−(2)4, minus, left parenthesis, minus, 14, right parenthesis, minus, left parenthesis, 2, right parenthesis

(Choice D)
D
4+14+(-2)4+14+(−2)4, plus, 14, plus, left parenthesis, minus, 2, right parenthesis

(Choice E)
E
-(-4-14)-2−(−4−14)−2

Answers

To simplify the expression 4 + (14 - 2), subtract 2 from 14, then add 4 to get the equivalent expression. The three equivalent expressions are: 20, -12, and 16.

To simplify the expression 4 + (14 - 2), we need to perform the operations inside the parentheses first. This means subtracting 2 from 14, which gives us 12. Then, we add 4 to 12, resulting in 16. Therefore, the expression 4 + (14 - 2) is equivalent to 16.

The three expressions that are equivalent to 4 + (14 - 2) are:

A. 4 - (-14 - 2) = 4 - (-16) = 4 + 16 = 20

B. (4 - 14) - 2 = -10 - 2 = -12

C. 4 - (-14) - (2) = 4 + 14 - 2 = 16

How many values are in the range 35 to 95?

62


61


60


59

Answers

Answer:

Option B, 61

Step-by-step explanation:

Step 1:  Find the range

To find the range, subtract the lowest number from the highest number.

Example:  1, 50

What is the highest number:  50

What is the lowest number:  1

50 - 1 = 49

Problem:  96, 35

What is the highest number:  96

What is the lowest number:  35

96 - 35

61

Answer: Option B, 61

Answer:

Only one value is in the range,

61

Step-by-step explanation:

Calculate range by subtracting the smaller value from the larger value

96 - 35 = 61

Only one of the given options corresponds with the solution of the range, which is 61, or the second option.

Hope this helps :)

I need help with this question please?
ANSWER ASAP!!!!!!!!!

Answers

The fish is 2.25 ft above the water surface.

Step-by-step explanation:

Step 1: Given expression for height of the fish above the water surface,  y = -16x² + 12x where x is time in seconds. Find height after 0.375 seconds

⇒ y = -16(0.375)² + 12 × 0.375

      = -2.25 + 4.5

      = 2.25 ft


If AB = 4x + 9, BC = 5x + 2, and AC = 56, find the measure of AB and BC.

Answers

Answer:

Step-by-step explanation:

Given that

AB=4x+9

BC=5x+2

Then, AC=56

From vector

AC=AB+BC

Then,

56=4x+9+5x+2

56=9x+11

Subtract 11 from both sides

56-11=9x+11-11

45=9x

Divide both sides by 9

45/9=9x/9

5=x

Then, x=5

Now,

1. AB=4x+9, x=5

AB=4(5)+9

AB=20+9

AB=29

2. Also

BC=5x+2

BC=5(5)+2

BC=25+2

BC=27

PLEASE ANSWER ASAP!
Dylan solved an inequality to determine the amount of lemonade, in cups, that fit in a cooler already containing ice and lemon wedges. His solution is graphed on the number line below.
How should the graph be interpreted? Select two options.

1. at most 19 cups
2. 19 cups or less
3. more than 19 cups
4. a minimum of 19 cups
5. no fewer than 19 cups

Answers

Answer:

1 + 2

Step-by-step explanation:

When we look at the number line, we can see that the inequality is:

x ≤ 19

This means that all values of "x", must be equal to or less than 19.

To find the correct answer choices, we must keep that equation in mind.

1. at most 19 cups   -   this answer choice does work, because it shows that 19 is the limit (which is what our inequality represents)

2. 19 cups or less    -     this answer choice works as well because it shows that 19 is the maximum and all other values of "x" must be below that.

3. more than 19 cups   -  this goes against our inequality, since "x" can't exceed 19. This means that this answer choice must be incorrect.

4. a minimum of 19 cups   -   this answer choice also cannot be correct since it shows that "x" can go over 19 (which we know is false).

5. no fewer than 19 cups   -    this is also wrong because it wants "x" to go over the value of 19, which it can't do.

Answer:

Step-by-step explanation:

A and b

A flower garden is shaped like a circle. Its diameter is 36 yd. A ring-shaped path goes around the garden. The width of the path is 5 yd.

The gardener is going to cover the path with sand. If one bag of sand can cover 4 yd", how many bags of sand does the gardener need? Note that sand comes
only by the bag, so the number of bags must be a whole number. (Use the value 3.14 for n.)

Answers

Answer:

3

Step-by-step explanation:

F(x)=12x+1
Find f(4)

Answers

f(4) is 49

Explanation:

Given:

f(x) = 12x + 1

f(4) = ?

we have to substitute the value of x = 4 in the given equation.

f(4) = 12 X 4 + 1

f(4) = 49

Whenever there is such type of question then we have to just put the value of x in the equation. In case of f '(4) then we have to differentiate the given equation with respect to x first and then substitute the value of x in the differentiated equation.

Therefore, f(4) is 49

subtract six hundred fifty three thousand from two million.​

Answers

2,000,000-653,000=1,347,000

Answer:

2,000,000- 653,000= 1,347,000

Step-by-step explanation:

first write this in a equation with numbers

2,000,000- 653,000

million = 1,000,000

hundred thousand= 100,000

now solve the equation

2,000,000- 653,000= 1347000

What does the value of y have to be so that
(3, y) and (-5,6) have a slope of -1 between them?

Answers

Answer:

y= -2

Step-by-step explanation:

Please see attached picture for full solution.

(From the 4th to 5th line, I multiplied both sides by 8)

Which property is illustrated in this equation?
32 • 15 = (3210) + (325)
A. Associative Property
B. Commutative Property
C. Distributive Property
D. Identity Property

Answers

Answer:

c)

Step-by-step explanation:

c). Distributive Property

32*15 = 32*(10+5) = 32*10 + 32*5

          =320 + 160 = 480

Four more than five times a number is two less than the number
make it into an algebraic expression

Answers

Answer:

4+5x<x

Step-by-step explanation:

four more than is saying addition so youd add the 4 and the 5x together. the less than is referring to the less than sign. and the number is referring to x.(;

A Pentagon is transformed according to the rule R0, 180°. Which is another way to state the transformation?
(x,y)>(-x,-y)
(x,y)>(-y,-x)
(x,y)>(x,-y)
(x,y)>(-x,y)

Answers

The another way to state the transformation would be [tex](x,y)>(-x,-y)[/tex]

Solution:

Rotation about the origin at [tex]180^\circ[/tex]: [tex]R_{180^\circ}A \rightarrow O = R_{180^\circ} (x, y) \rightarrow (-x,-y)[/tex]

The term R0 means that the rotation is about the origin point. Therefore, (R0,180) means that we are rotating the figure to [tex]180^\circ[/tex] about the origin.

So, the transformation of the general point (x,y) would be (-x,-y) when it is rotated about the origin by an angle of [tex]180^\circ[/tex].

Hence according to the representation, the expression would be [tex](x, y) \rightarrow (-x, -y)[/tex].

The transformation R0, 180° is equivalent to reflecting each point (x, y) in a Pentagon across the origin, resulting in the new coordinates (-x, -y).

The transformation rule R0, 180° involves rotating a point (x, y) within a Pentagon by 180 degrees around the origin. In this transformation, each point is mirrored or reflected across the origin. To express this transformation differently, we can say that (x, y) is mapped to its mirror image in both the x-axis and y-axis. In other words, the x-coordinate is reversed (negated), and the y-coordinate is also reversed (negated).

So, the alternative way to state this transformation is: (x, y) > (-x, -y). This means that any point (x, y) in the original Pentagon will become (-x, -y) after the transformation.

For example, if we have a point (2, 3) within the Pentagon, applying the transformation yields (-2, -3). This means the point's x-coordinate is changed from 2 to -2, and the y-coordinate is changed from 3 to -3. This transformation is essentially a 180° rotation or a reflection through the origin.

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Can you please show me what 56%/43% is?

Answers

Answer: 1.3

Step-by-step explanation:

Step 1: convert to decimal

56% = 56/100 = 0.56

43% = 43/100 = 0.43

Step 2; divide the values

0.56/0.43= 1.3

I hope this helps.

carol invests 6250 at a rate of 2 per year compound interest calculate the total amount carol has after 3 years​

Answers

Answer:

$6,632.55

Step-by-step explanation:

What a coincidence I was doing the same question. Ok so you should know about the Compound Interest formula which is A=P (1+r/100) n. (n) is btw in the exponent.

A= ?

P=6250

r=2

n=3

   Anyways we will input everything we are given so it will be:

A=6250(1+2/100)3

   Since A is final amount - it will be our answer which is  $6,632.55

Final answer:

Carol invested $6,250 at a rate of 2% per year compound interest. After 3 years using the compound interest formula A = P(1 + r/n)^(nt), her investment will grow to $6,632.55.

Explanation:

Carol invested $6,250 at a rate of 2% per year compound interest. To calculate the total amount Carol has after 3 years, we can use the formula:

A = P(1 + r/n)^(nt)

Where:

A is the amount of money accumulated after n years, including interest. P is the principal amount (the initial amount of money). r is the annual interest rate (decimal). n is the number of times that interest is compounded per year. t is the time the money is invested for in years.

Since the interest is compounded yearly, n will be 1. Assuming the 2% interest rate is already in decimal form (0.02), and the time is 3 years, we substitute these values into the formula:

A = 6250(1 + 0.02/1)^(1*3)

A = 6250(1 + 0.02)^3

A = 6250(1.02)^3

A = 6250 * 1.061208

A = $6632.55

Therefore, after 3 years, Carol's investment will have grown to $6632.55.

0.1 percent as fraction in simplest form ?

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

1/10

Step-by-step explanation:

In its simplest form, expressing the decimal as a fraction to its simplest form will give one over ten.

Therefore if you divide 1/10, the answer will be 0.1. it is also called one-tenth.

Although there are other expressions or fractions that give 0.1, but 1/10 is the simplest of them all, and the question specified to use it in its simplest form.

HELP. Y=-3x + 6
Y=2x - 4
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D)infinitely many solutions

Answers

Answer:

one solutions

Step-by-step explanation:

graph both points on a graph if they cross you have one solution, if they never meet you have no solution and if it's one line you have infinite solutions

Final answer:

The two given linear equations y = -3x + 6 and y = 2x - 4 have different slopes, which means they will intersect at exactly one point, indicating that there is one solution to the system.

Explanation:

To find out how many solutions can be found for the system of linear equations represented on the graph, we can observe the slopes and y-intercepts of the given equations. The two equations are:

y = -3x + 6

y = 2x - 4

These are both linear equations in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. The first equation has a slope of -3 and the second has a slope of 2. Because the slopes are not equal, these lines are not parallel and will, therefore, intersect at one point. When two lines intersect at exactly one point, the system of equations has one solution.

Moreover, since they intersect, they do not have the same line, so they do not have infinitely many solutions. Therefore, the correct answer is one solution (B).

The storm dropped 1 3/12 feet of snow during the first hour and 9/12 foot more during the second hour. how much snow fell during those to hours?

i need help

Answers

Answer:

your answer would be 2

Step-by-step explanation:

Convert 1 3/12 into an improper fraction which is 5/4

Then add it with 9/12

5

/4  + 9

/12

(5 × 12) + (9 × 4)

---------------------------

        4 × 12

= 96/48

=    96 ÷ 48

 -------------------

     48 ÷ 48

= 2

2 is your answer hope this helps :)

Answer:

2 feet

Step-by-step explanation:

To find the total amount of snow that fell, we add

1 3/12 + 9/12

add the fractions

3/12+9/12 = 12/12 =1

Add the whole numbers

1  plus the whole number from the fraction

1+1 =2

PICTURE SHOWN
Write the equation of the given line in
slope- intercept form

Answers

Answer:

y=2x+3

Step-by-step explanation:

Answer:

y = -3x - 1

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

Step 1:  Find the slope using [tex]\frac{y2 - y1}{x2 - x1}[/tex]

(x1, y1) = (-1, 2)

(x2, y2) = (1, -4)

m = [tex]\frac{-4 - 2}{1 -(-1)}[/tex]

m = [tex]\frac{-6}{1+1}[/tex]

m = [tex]\frac{-6}{2}[/tex]

m = -3

Step 2:  Plug into point slope form and solve for y

(y - y1) = m(x - x1)

(y - 2) = -3(x - (-1))

y - 2 = -3(x + 1)

y - 2 + 2 = -3x - 3 + 2

y = -3x - 1

Answer:  y = -3x - 1

Which is the largest: 27/30, 28/32, 38/40, 36/39, 75/85

Answers

I believe the answer is 27/30
The answer would be 38/40. This is true, because when you divide all the numbers, 38/40 equals 9.5 which is greater than all the the other numbers

What are the x-intercepts of the graph of the function below?
y= x2 + 2x-15
O A. (5,0) and (3,0)
O B. (-5,0) and (-3,0)
O C. (-50) and (3,0)
OD. (5,0) and (-3,0)

Answers

Answer:

C. (-5,0) and (3,0)

Step-by-step explanation:

y= x² + 2x-15

y = 0

x² + 2x-15 = 0

(x - 3) (x + 5) = 0

x = 3 or x = -5

The x-intercepts of the graph of the function are (-5,0) and (3,0).

Option C is the correct answer.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto-one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the x-intercepts of the graph of the function,

We need to set y = 0 and solve for x.

So we have:

x² + 2x - 15 = 0

Factoring this quadratic equation.

(x + 5) (x - 3) = 0

Setting each factor equal to zero.

x + 5 = 0 or x - 3 = 0

Solving for x.

x = -5 or x = 3

Therefore,

The x-intercepts of the graph of the function are (-5,0) and (3,0).

Learn more about functions here:

https://brainly.com/question/28533782

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