Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction

Answer:

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

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

we have

(-2,-2) and (2,2)

substitute the values

[tex]m=\frac{2+2}{2+2}=1[/tex]

step 2

Find the equation of the line in point slope form

[tex]y-y1=m(x-x1)[/tex]

we have

[tex]m=1\\(x1,y1)=(-2,-2)[/tex]

substitute

[tex]y-(-2)=(1)(x-(-2))[/tex]

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

3/10 = 30/100 after multiplying top and bottom by 10

so we have 30/100 + 62/100 = (30+62)/100 = 92/100

Reduce this fraction

92/100 = (23*4)/(25*4) = 23/25

Therefore, 3/10+62/100 = 23/25

Apply the product rule by raising each term by the power outside powers.

Then divide and simplify to get the second choice:

Answer:

money spent = number of people *  price of 1 ticket  (direst variation)

 28               = 4 *  price of a ticket

so price of one ticket = 28/4 =  7

Constant of variation is 7

we might write it as m = 7n

Step-by-step explanation:

Answer:

x is 1 or -7

Step-by-step explanation:

x^2-7x+6=0 //we must find two numbers with multiple as -7 and sum as +6. numbers are -1 and 7.

(x-1)(x+7)=0

x-1=0 -»x=1

x+7=0 -»x= -7

Answer: Interest rate = 0.065

Step-by-step explanation:

I=PRT

3250=5000r*10

Divide by 10 on both sides

325=5000r

r=0.065

Answer:

11 x^2 + 4x -6

Step-by-step explanation:

combine like terms but be careful with the minus sign in front of the second set of parentheses.

4x^2 + 9x -7 + 7x^2 -5x +1

Answer: [tex]-3x^2+4x-6\\[/tex]

Step-by-step explanation:

4x^2 +9x-7 does not need distributive propery

-(7x^2+5x-1) does with that negitive in front of parentheses

It then becomes -7x^2-5x+1

Add it all together

[tex]-3x^2+4x-6[/tex]

Answer:

1.5

Step-by-step explanation:

y2 - y1 ÷ x2 - x1

(3,4) (8, -3)

(x1,y1) (x2,y2)

Answer:

34

Step-by-step explanation:

when n=4.

n^2+6n-6 = (4)^2+6(4)-6 = 16 + 24 - 6 = 10 + 24 = 34

The algebraic expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

Solution:

Given the statement:

Three sets of a sum of a number and four are added to the sum of seven times the same number and thirteen

Let us first understand the given statement,

Let the number be "x"

" sum of a number and four" means x + 4

"Three sets of a sum of a number and four" translated to 3(x + 4)

"sum of seven times the same number and thirteen" means 7x + 13

Thus the algebraic expression for given statement is:

[tex]3(x+4)+(7x + 13)[/tex]

Using distributive property in above expression

[tex]a(b+c) = ab + bc[/tex]

Therefore,

[tex]3(x+4)+(7x + 13) = 3x + 12 + 7x + 13[/tex]

Combine the like terms

[tex]3(x+4)+(7x + 13) = 10x+25[/tex]

Thus the required expression for given statement is: 10x + 25 or 3(x + 4) + (7x + 13)

Answer:

A. x=13

Step-by-step explanation:

[tex]x + 11 = 24 \\ x = 24 - 11 \\ x = 13[/tex]

The lengths of the sides of the triangle are 6 m, 6 m, and 8 m.

The perimeter of a triangle is defined as the addition of the lengths of the triangle's three sides.

Let the length of the first side and 2nd side are x,

Two sides of a triangle have the same length.

The third side measures 4 m less than twice the common length.

So the length of the third side = 2x - 4

Given that the perimeter of a triangle is 20 m

Since the perimeter of a triangle is the addition of the lengths of the triangle's three sides.

So the perimeter of a triangle = sum of all sides

⇒ x + x + 2x - 4 = 20

⇒ 4x = 24

⇒ x = 6

So the length of the third side = 2(6) - 4 = 8

Hence, the lengths of the sides of the triangle are 6 m, 6 m, and 8 m.

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Final answer:

To find the lengths of the triangle's sides, we establish a variable x for the two identical sides. The equation 4x - 4 = 20 is solved to give x = 6. Thus, the triangle has sides of 6 meters, 6 meters, and 8 meters.

Explanation:

The question is asking to determine the lengths of the three sides of a triangle when two of the sides have the same length, and the third side is 4 meters shorter than twice the length of the other two sides. Additionally, it is given that the perimeter of the triangle is 20 meters.

Let's denote the common length of the two sides as x meters. Hence, the length of the third side would be 2x - 4 meters. Since the perimeter of the triangle is the sum of its sides, we have the following equation:

x + x + (2x - 4) = 20

This simplifies to:

4x - 4 = 20

Adding 4 to both sides gives:

4x = 24

Dividing by 4 gives:

x = 6

Therefore, the lengths of the two identical sides of the triangle are 6 meters each, and the length of the third side is 2(6) - 4 = 8 meters.

The equation of g(x) is g(x) = 6x + 11

Step-by-step explanation:

Let us revise some transformation

∵ f(x) = 2x + 5

∵ The graph of f(x) is stretched vertically by scale factor 3

- That means multiply f(x) by 3

∴ The equation of the new graph is 3(2x + 5)

∵ The new graph is translated 4 units down

- That means subtract 4 from 3(2x + 5)

∴ The equation of g(x) is g(x) = 3(2x + 5) - 4

- Simplify the equation of g(x)

∴ g(x) = 3(2x) + 3(5) - 4

∴ g(x) = 6x + 15 - 4

- Add the like terms in the right hand side

∴ g(x) = 6x + 11

The equation of g(x) is g(x) = 6x + 11

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Answer:

y=3 x -4

Step-by-step explanation:

yes

Answer:

Based on the answers I can see, it'd be all of them.

Step-by-step explanation:

When rounding to the nearest hundred, you round down if the tens are 49 or smaller (e.g. 401 to 400). If the tens are 50 or bigger, you round up (e.g. 351 to 400). I hope that helps you.

Answer:

Karen had 45 m and m's candy.

Step-by-step explanation:

Let the number of m and m's candy be 'x'.

Now given:

Karen gave an equal amount of m and m's to herself and four friends.

So we can say that;

Number of people m and m's candy distributed equally = 5

Also Given:

Each person receives m and m's equivalent to the largest one digit number.

Now we know that;

Largest one digit number is 9.

So we can say that;

Each person receives m and m's = 9

We need to find number of m and m's Karen have.

Solution:

So we can say that;

Total number of m and m's Karen have is equal to Number of people m and m's candy distributed equally multiplied by number of m and m's can each person receives.

framing in equation form we get;

Total number of m and m's Karen had = [tex]9\times5 = 45[/tex]

Hence Karen had 45 m and m's candy.

Answer:

The answer is A 160% and E [tex]\frac{160}{100}[/tex].

Step-by-step explanation:

To find what percentage 40 is of 25, you first need to find what 1% of 25 is. To solve you do 25 ÷ 100 which is equal to 0.25. You then need to divide 40 by 0.25, which would be the same as multiplying 40 by 4. 40 ÷ 0.25 = 160. Therefore, 40 is 160% of 25. 160% is the same as saying [tex]\frac{160}{100}[/tex] or 160 out of 100 or you could say 160 ÷ 100 = 1.6, which would mean 25 × 1.6 = 40.

40 as a percentage of 25 can be applied such that the percentage would be:

To find what percent 40 is of 25, you would use the formula:

= (Part / Whole) * 100%

So here, 40 is the part and 25 is the whole:

= (40 / 25) * 100%

= 160%

40 is 160 % of 25.

160 / 100 is also 160 %. The rest of the options are incorrect leaving options A and E.

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Answer: OPTION C.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

[tex]y=mx+b[/tex]

Whrere "m" is the slope and "b" is the y-intercept.

The line intersects the y-axis when [tex]x=0[/tex], therefore, you can identify from the given table that "b" is:

[tex]b=3[/tex]

Now, in order to find the slope of that line, you can follow these steps:

1. Substitute the value of "b" and the coordinates of any point from the table and into  [tex]y=mx+b[/tex]

2. Solve for "m".

Then, choosing the point (1,1), you get:

[tex]1=m(1)+3\\\\1-3=m\\\\m=-2[/tex]

Therefore, you can determine that the equation of that line in Slope-Intercept form, is:

[tex]y=-2x+3[/tex]

its c are you already dead??

Final answer:

The additive inverse of – 4 is 4 because when – 4 is added to 4, the result is 0. This demonstrates the concept of additive inverses in algebra, where each number has a counterpart that sums to zero.

Explanation:

The question is asking to find the additive inverse or opposite of – 4. The additive inverse of a number is the number that, when added to the original number, results in a sum of zero. This is a fundamental concept in algebra and mathematics in general. To find the additive inverse of – 4, you simply need to find a number that, when added to – 4, equals 0.

The additive inverse of – 4 is 4. This is because – 4 + 4 = 0. When you add – 4 and its additive inverse together, their sum is 0, which means 4 is the correct answer. The concept of the additive inverse is crucial in equations solving and other algebraic manipulations, assisting in understanding how to balance equations and solve for unknowns.

The solutions of the polynomial are  [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex]  ,  [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]

Step-by-step explanation:

The solutions of a polynomial is the value of x when the polynomial equal to zero

The formula of quadratic polynomial is [tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}}{2a}[/tex] , where

∵ The polynomial is 4x² - 4x + 10

- Equate it by zero to find its solutions

∴ 4x² - 4x + 10 = 0

∵ The coefficient of x² is 4

∴ a = 4

∵ The coefficient of x is -4

∴ b = -4

∵ The numerical term is 10

∴ c = 10

- Use the formula to find the values of x

∵ [tex]x=\frac{(-4)(+/-)\sqrt{(-4)^{2}-4(4)(10)}}{2(4)}[/tex]

∴ [tex]x=\frac{-4(+/-)\sqrt{16-160}}{8}[/tex]

∴ [tex]x=\frac{-4(+/-)\sqrt{-144}}{8}[/tex]

∵ [tex]\sqrt{-144}=12\sqrt{-1}[/tex]

- Substitute  [tex]\sqrt{-1}[/tex]  by i

∴ [tex]12\sqrt{-1}=12i[/tex]

∴ [tex]x=\frac{-4(+/-)12i}{8}[/tex]

- Divide up and down by 4 to simplify the fraction

∴ [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex]   ,   [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]

The solutions of the polynomial are  [tex]x=-\frac{1}{2}+\frac{3}{2}i[/tex]  ,  [tex]x=-\frac{1}{2}-\frac{3}{2}i[/tex]

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Answer: w = 15

Original Question: 40w + (1.5)(8)(w) =780

Step-by-step explanation:

1) 40w + 1.5 x 8w = 780

2) 40w + 12w = 780

3) 52w = 780

4) 52w/52 = 780/52

w = 15

The height of the house, given the angle of elevation and the distance of the point is 25. 98 meters.

How to find the height ?

You can use the tangent function because it relates the angle of elevation to the opposite side and the adjacent side (the horizontal distance).

The tangent of the angle of elevation is equal to the ratio of the height to the horizontal distance:

tan(30 degrees) = h / 45 meters

Solve for "h" by multiplying both sides by 45 meters:

h = 45 meters x tan(30 degrees)

You can calculate the value of tan(30 degrees):

tan(30 degrees) = 0.5774

Multiply:

h = 45 meters x 0.5774

= 25.98 meters

Answer:

x = 76°

Step-by-step explanation:

At point I

to get angle JID

angle JID + 107° = 180°. (angle on a straight line)

angle JID = 180° - 107°

angle JID = 73°

for Triangle JiD

angle DJI + 31° + 73° = 180° (Sum of angles in a triangle)

angle DJI = 180 - 104 = 76°

angle FJI = 31 + 73 =104°. ( Sum of two interior angles in a triangle is equal to one exterior angle)

Hence,

x° + 104° = 180° (angle on a straight line)

x = 76°

The core of calculus in mathematics are functions. The unique varieties of relations are the functions.

The cost of 1 salad exists $3.

A function is a relationship between a set of inputs and a set of potential outputs, where each input is associated to exactly one outcome.

A function from a set X to a set Y in mathematics assigns each element of X exactly one element of Y. The set X is known as the function's domain, while the set Y is known as the function's codomain.

Let, the cost of 1 sandwich be 'x' and the cost of 1 salad is 'y'.

4 sandwiches = 4x

3 salads = 3y

total spent = $24

From the given equation, we get

4x + 3y = 24

If each sandwich costs $3.75,

⇒ 4(3.75) + 3y = 24

simplifying the above equation, we get

⇒ 15 + 3y = 24

⇒ 3y = 24 - 15

⇒ 3y = 9

⇒ y = 9/3

⇒ y = 3

Therefore, the cost of 1 salad exists $3.

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Answer:

Step-by-step explanation:

[tex]a \times b = 0.24\\b = \frac{0.24}{a} or, a = \frac{0.24}{b}[/tex].

In the above equation the proper values can not be found only when the denominator will be 0.

As for example, if a = 2, then b = 0.12.

If a = 0.12, then b = 2.

If a = 1, b = 0.24 or b = 1, a = 0.24.

Thus, a or b can be any real number rather than 0.

Answer:

side WA

Step-by-step explanation:

i put sw which was wrong its (side WA) 100% ☺☺☺

Answer:

The straight-line distance (in paces) from the tree to the treasure is 80.62 paces

Step-by-step explanation:

Given:

Distance walked towards the north = 70 Paces

Distance walked towards the East = 40 Paces

To Find:

The straight line distance  from the tree to the treasure =?

Solution:

We we track the trail we can find a right triangle formed where the two sides are 70 pace and 40 pace each. The straight line distance is the hypotenuse of the triangle(Refer the figure below

Now we can find the length of the hypotenuse by Pythagorean theorem

[tex]a^2 =b^2 +c^2[/tex]

where b and c are the sides of the triangle

and a is the hypotenuse

[tex]a^2 = 70^2 +40^2[/tex]

[tex]a^2 =4900 + 1600[/tex]

[tex]a = \sqrt{4900 + 1600}[/tex]

[tex]a =\sqrt{6500}[/tex]

a =  80.62