Answer:
The value of x is -4 and 5.
Step by step explanation:
First, you have to let the expressions equals to 0 and elaborate the equation :
[tex] {x}^{2} - x - 20 = 0[/tex]
[tex] {x}^{2} + 4x - 5x - 20 = 0[/tex]
Next you have to factorize by taking out the like-terms :
[tex]x(x + 4) - 5(x + 4) = 0[/tex]
[tex](x - 5)(x + 4) = 0[/tex]
Lastly, you can solve it :
[tex]x - 5 = 0[/tex]
[tex]x = 5[/tex]
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
Answer:
-4 and 5
Step-by-step explanation:
When solving quadratic equations it's important to remember that they have 2 solution. We need to work out the factors, sum and the products to successfully factorise the quadratic and solve it. So,
x² - x - 20 = 0
Sum = -1
Product = -20
So we need two number that sum to -1 and multiply together to make -20
Factors = -5 and 4
x² - 5x + 4x - 20
Factor x² - 5x and 4x -20 separately
x² - 5x = x ( x - 5 )
4x - 20 = 4 ( x - 5 )
So
x ( x - 5 ) + 4 ( x - 5 )
We can see a common factor of ( x - 5 ) and the other bracket would be ( x + 4).
( x - 5 ) ( x + 4 )
But the question asks us for the solution so
x - 5 = 0
x = 5
x + 4 = 0
x = -4
What is the solution to the system of equations below?
y=-3x+3 and y=-12
(20, -12)
(12, -12)
(-6, -12)
(-12, 12)
Answer:
(5, -12)
Step-by-step explanation:
Put -12 in the equation for y and solve for x:
-12 = -3x +3
4 = x -1 . . . . . . . . divide by -3
5 = x . . . . . . . . . add 1
The solution to the system shown here is ...
(x, y) = (5, -12)
__
This is confirmed by a graphing calculator.
__
None of the offered answer choices is correct.
Ettiene solved a quadratic equation. His work is shown below.
In which step did Ettiene make an error?
The Step 2 shows the mistake done by Ettiene.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
The given equation is x(x+4)=117.
Step1: x²+4x=117
Now, b/2 =4/2 =2
Then, add 2² to both the sides of an equation, we get
x²+4x+2²=117+2²
x²+4x+4=117+4
(x+2)²=121
x+2=±√121
x+2=±11
x=±11-2
x=11-2=9 and x=-11-2=-13
learn more about quadratic equation here:
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pls help... Find the area of the following circle
Answer:
=94.985m²
Step-by-step explanation:
Area = πr²
π=3.14
r=5.5
-
Find the radius,
11/2=r
r=5.5
-
Area=
3.14x 5.5x 5.5
3.14x30.25
=94.985m²
You are designing a new container for powdered laundry detergent. You are considering a cylindrical container with a diameter of 20 inches and a height of 15 inches. Find the volume of this container to the nearest cubic unit. Use a calculator.
Answer:
area of a cylinder=[tex]\pi[/tex]r²h
Step-by-step explanation
[tex]\pi[/tex]*100*15=1570.79632679 cubic inch
hope this helps
plzz mark me brainliest
solve −0.2x+1.2<1.1 pls
Answer:
x > 1/2
Step-by-step explanation:
Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.
Please answer Part A, B and C. Thank you
5 time 123456789101098765432110123456789
123456789101098765432110123456789
123456789101098765432110123456789
123456789101098765432110123456789
123456789101098765432110123456789
123456789101098765432110123456789
I did it five times.
Evaluate the expression. −3/(−3)^2
Answer:
0.33....(1/3
Step-by-step explanation:
-3/-3*-3
-3/9
-0.33..
Which events are mutually exclusive ? Choose all that apply
The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.
Mutually exclusive means that a combination of occurrences can never occur.
a) landing on a number greater than three while in a shaded area:
This is possible; for example, you could land in the 4.
b) landing in an even number on a dark sector.
Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.
c) uncolored and odd number
This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.
d) Landing on a shaded sector and landing on the number three
Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.
e) Landing on an unshaded sector with a number less than two.
Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.
Which is an equation of an asymptote of the hyperbola?
A) y=-3x+8
B) y=3X+10
C) y=-1/3x
D) y=1/3x+2
What is the ratio of the volume of the cone to the volume of the square pyramid?
Answer:
The ratio of the volume of cone to square pyramid is π or 3.14
Step-by-step explanation:
Given
Shapes: Cone and Square Pyramid
Diameter of the cone, d = 10 inches
Height of the cone, h = 12 inches
Height of the pyramid, h = 12 inches
Base edge of the pyramid, a = 5 inches
Required:
Ratio of the volume of cone to square pyramid.
First, we calculate the volume of each shapes
Volume of a cone is calculated as follows;
Volume = ⅓πr²h
Where r = radius = ½d
Recall that d = 10 inches
So, r = ½ * 10 inches
r = 5 inches.
Hence,
Volume = ⅓ * π * 5² * 12
Volume = ⅓ * π * 25 * 12
Volunteer = π * 25 * 4
Volume = 100π in³
Calculating Volume of the pyramid.
Volume = ⅓a²h
Recall that a = 5 and h = 12
So, Volume = ⅓ * 5² * 12
Volume = ⅓ * 25 * 12
Volume = 25 * 4
Volume = 100 in³
Now that both volumes have been calculated.
The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.
Ratio = 100π ÷ 100
Ratio = π
Taking π as 3.14
Ratio = 3.14
Hence, the ratio of the volume of cone to square pyramid is π or 3.14
PLZZZZ HELP!!!
Bill is playing a game of chance with the following payout. 30% of the time you will lose 20 dollars, 20% of the time you lose 40 dollars, 10% of the time you win 50 dollars, 40% of the time you win 5 dollars. Find the expected value of the event and explain if Bill should play this game based on the mathematical expectation.
Answer:
Expected Value= -$7Bill should not play the gameStep-by-step explanation:
In the game, these are the payout:
30% of the time you will lose 20 dollars.20% of the time you lose 40 dollars.10% of the time you win 50 dollars40% of the time you win 5 dollars.To compute the expected value, take note that a loss is negative while a win is positive.
[tex]E(X)=\sum_{i=1}x_1P(x_1)[/tex]
Therefore:
E(X)=(-20*0.3)+(-40*0.2)+(50*0.1)+(5*0.4)
E(X)=-7
The expected value of the event is -$7.Based on the negative expectation, Bill should not play this game as he is expected to incur a loss.Help me with this math problem please.
Answer: 18ft
Step-by-step explanation:
What is the length of the hypotenuse of the triangle below
Answer:
E (10)
Step-by-step explanation:
In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:
so 5√2 * √2 = 10
ANSWER: 10 or E
PLS HELP WILL MARK BRAINLIEST 20PTS
Answer:
8(59 1/4 x 1) -58 = 100
Step-by-step explanation:
This would simplify to x = -2 1/10 or x = 50/237
As 100/474 = -2 1/10 or -50/237
We balance the 8. then we balance the 50ml so that 100/424 = -25/106 = -2 4/10 so we see that 50ml minimum in the problem is required and this creates a 1/8 increase with each pump.
Proof is the difference of -2 1/10 to -2 4/10 = 1/8 increase in the resulting division of 474ml divided by 8ml
How do we calculate slope?
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .
Step-by-step explanation:
⋆✨Answered By Cartier✨⋆
✨Brainliest Will Be Appreciated.✨
✨If You Have Questions Ask In The Comment Box.✨
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .
Step-by-step explanation:
What is the next fraction in this sequence? Simplify your answer.
Answer:
6/32 or 3/16 will be the next fraction in the sequence
A food company packs 64 cans of peaches into a box.
The company has 640 cans to box. If they sell a full box
for $32, how much money will the food company make
on these boxes?
Answer:
$320.00
Step-by-step explanation:
640÷64=10
32×10=$320.00
Which point is located at (4, –2)?
Answer:
B
Step-by-step explanation:
First you would look at the x coordinate which is 4. So on the x-axis you would find four. Next you would look at the y coordinate which is -2. Then you go on the y-axis and find -2. Finally, you would go to 4 on x-axis and go DOWN (since it is negative) 2 spots.
B point is located at (4, –2)
What is coordinate geometry?Coordinate geometry (or analytic geometry) is defined as the study of geometry using coordinate points. the usage of coordinate geometry, it is possible to find the distance between two points, divide lines in the m:n ratio, find the mid-point of a line, calculate the area of a triangle within the Cartesian plane, and so on.
Coordinate geometry is needed to provide a connection between algebra and geometry by using graphs of lines and curves. it is an important department of math and usually assists us in locating points in a plane. furthermore, it also has many uses in the fields of trigonometry, calculus, dimensional geometry, and greater.
Learn more about coordinate geometry here
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Answer Three of these question and you will be the brainliest. Answer this with solution please
1) Which comparison is correct?
|5| > 7
7 < |7|
|-3| > |-4|
-5 < -4
2) In a complete sentence, describe the positions of these numbers on the number line in relation to each other. Then, write an inequality statement comparing the numbers, using the symbol > or <.
-13, -10
3) Which inequality statement is true?
3/4 > 0.80
0.50 >
3/4 < 0.80
7/15 > 0.50
Answer:
1. -5<-4
2. -13<-10 ( On horizonal x-axis -13 is on the left of -10)
3. 3/4<0.8
4x - 7 = 9
The answers are
X=2
X=4
X=16
No solution
Answer:
x=4
Step-by-step explanation:Trust me
4x-7=9
4x-7+7=9+7
4x=16
4x/4 = 16/4
X=4
Answer: x = 4
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 4x.
To isolate 4x, we have to get rid of the -7 by adding
7 to both sides of the equation.
That leaves us with 4x = 16.
Now divide both sides by 4 to find that x = 4.
what is the x value of the vertex called
Answer:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.
Step-by-step explanation:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex.
You must simply get an equation in this format to find h and k.
The x value of the vertex in a parabola is found using the formula -b/(2a), which represents the x-coordinate of the vertex, a critical point that determines the parabola's maximum or minimum value.
The x value of the vertex in a parabola is a critical point that determines the maximum or minimum of the quadratic function. In a quadratic equation of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula -b/(2a). This formula is derived from completing the square or using calculus to find the critical points of the function. Once you determine the x-coordinate of the vertex, you can substitute it back into the original equation to find the corresponding y-coordinate, giving you the full coordinates of the vertex of the parabola.
brainliest 1-10 pick a number and u win
Answer:
5
Step-by-step explanation:
PLEASE NOTE: All questions below use the same scenario. You must convert the months to years. A certain college that four students want to attend charges of $8,008 for tuition and fees each year. Room and housing are an additional $8,392 per year. Calculate how much money each student and family will need to save for the first year of college.
1. How much money will the student and family below need to save for the first year of college?
Scholarship - $1,000
Grant - $1,000
Student Loan - $4,500
Months - 42
a. $16,400
b. $6,500
c. $2,828.57
d. $235.71
2. How much money will the student and family below need to save for the first year of college?
Scholarship - $6,000
Grant - $500
Student Loan - $4,500
Months - 24
a. $2,700
b. $16,400
c. $11,000
d. $225.00
3. How much money will the student and family below need to save for the first year of college?
Scholarship - $10,000
Grant - $2,000
Student Loan - $0
Months - 18
a. $16,400
b. $4,400
c. $244.44
d. $2,933.33
4. How much money will the student and family below need to save for the first year of college?
Scholarship - $3,000
Grant - $2,000
Student Loan - $4,500
Months - 39
a. $6,900
b. $176.92
c. $2,123.08
d. $16,400
Answer:
1.) C
2.) A
3.) D
4.) C
Step-by-step explanation: Given that the
$8,008 for tuition and fees each year.
Room and housing are an additional $8,392 per year.
Total = 8008 + 8392 = $16400
1.) Scholarship - $1,000
Grant - $1,000
Student Loan - $4,500
Months - 42
Yearly = 42/12 = 3.5 years
Total support = 1000 + 1000 + 4500
= $6500
Savings = 16400 - 6500 = 9900
First year savings = 9900/3.5
= 2828.57 dollars
2. Scholarship - $6,000
Grant - $500
Student Loan - $4,500
Months - 24
Yearly = 24/12 = 2
Support = 4500 + 6000 + 500
= $11000
Savings = 16400 - 11000
= 5400 dollars
First year savings = 5400/2
= 2700 dollars
3.) Scholarship - $10,000
Grant - $2,000
Student Loan - $0
Months - 18
Yearly = 18/12 = 1.5
Support = 10000 + 2000 = $12000
Savings = 16400 - 12000
= 14400 dollars
First year savings = 4400/1.5
= 2933.33 dollars
4.) Scholarship - $3,000
Grant - $2,000
Student Loan - $4,500
Months - 39
Yearly = 39/12 = 3.25
Support = 3000 + 2000 + 4500
= 9500 dollars
Savings = 16400 - 9500 = $6900
First year savings = 6900/3.25
= $2123.08
3(s+100)/4 solve for s
Answer:
-100
Step-by-step explanation:
If you want to solve for s make the equation= 0
3(s+100)/4 = 0
Find the volume of the cone.round to the nearest tenth. Height: 10 radius:2
Answer:
41.9 units³
Step-by-step explanation:
(please see attached for reference)
The volume of a cone is given by:
V = (1/3) πr²h where,
V = volume (we are asked to find this)
π = 3.142
r = radius = given as 2
h = height = given as 10
Substituting the known values into the above equation,
V = (1/3) πr²h
= (1/3) (3.142) (2²)(10)
= 41.893
= 41.9 units³ (nearest tenth)
The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Write the rule (formula) to determine the company's sales (in $ million) in each year since 1995. (Hint: Let n = 1 represent 1995).
Answer:
n + 1 = 24 million x 1.15
Step-by-step explanation:
The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea
Question 2
Calculate the company’s sales in the year 2003.
Explanation: The formula to calculate sales in the nth year is an=24(1.15)n-1
2003 is the 8th year (i.e., n = 8), so:
a8=24(1.15)7
a8=63.84
Answer: Sales in 2003 were $63.84 million.
This is the answer on Edmentum I swear!
What value of x will make the equation true?
(√15)(√15)=x
Answer:
[tex](\sqrt{15} )(\sqrt{15})=15[/tex]
Step-by-step explanation:
[tex](\sqrt{15} )(\sqrt{15})=15[/tex]
[tex]\sqrt{15} =3.87298334621\\\\(3.87298334621)*(3.87298334621)=15\\[/tex]
Someone help meeee soon first to answer will be marked brainliest
Answer:
I think the answer is 1/4
Step-by-step explanation:
Because you use the rise over run method to find slope.
DAY 27, MAY 7, 2020
If 5x + 6 = 10, what is the value of 10x + 3 ?
А) 4
В) 9
C) 11
D) 20
ОА
Ов
Answer:
The answer is C.
Step-by-step explanation:
In order to find the value of expression, you first have to solve x by substracting 6 to both sides then divide it by 5 :
[tex]5x + 6 = 10[/tex]
[tex]5x + 6 - 6 = 10 - 6[/tex]
[tex]5x = 4[/tex]
[tex]5x \div 5 = 4 \div 5[/tex]
[tex]x = \frac{4}{5} [/tex]
Next, you have to substitute the value of x into the expression :
[tex]let \: x = \frac{4}{5} [/tex]
[tex]10x + 3[/tex]
[tex] = 10( \frac{4}{5} ) + 3[/tex]
[tex] = 8 + 3[/tex]
[tex] = 11[/tex]