The graph of g(x) contains the point (7,12). What point must be on the graph of the function f(x) if g(x) = 2f(x-3)+4? How do you solve for this?

Answers

Answer 1

Answer: first take out 2 as a factor
g(x) = 2[f(x-3)+2]

f(x-3) means a shift of +3 in the x direction
+2 means a shift of +2 in the y direction
2[f] means a stretch of scale factor 2 in the y direction

so (7+3, 2(12+2)) -> (10,28)

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What is 7 copies of the sum of 8 fifths and 4?

Answers

39¹/₅ or 39.2

Further explanation

The Problem:

7 copies of the sum of 8 fifths and 4.
Write an expression to match, and then evaluate.

The Process:

Here are some early expressions that need attention.

8 fifths is $\boxed{(8)/(5)}$
the sum of 8 fifths and 4 is $\boxed{(8)/(5) + 4}$

7 copies of the sum of 8 fifths and 4 mean that we have to multiply 7 with the sum of 8 fifths and 4. The term of "the product" is synonymous with multiplication.

Let us write an expression to match for '7 copies of the sum of 8 fifths and 4'.

$\boxed{\boxed{ \ 7 * \bigg((8)/(5) + 4 \bigg) \ }}$

Let us calculate the operation in parentheses at first.

$\boxed{ \ (8)/(5) + 4 \ }$

$\boxed{ \ (8)/(5) + (20)/(5) \ }$

$\boxed{ \ (28)/(5) \ }$

And now we solve the full expression.

$\boxed{ \ = 7 * \bigg((8)/(5) + 4 \bigg) \ }$

$\boxed{ \ = 7 * (28)/(5) \ }$

$\boxed{\boxed{ \ (196)/(5) \ }}$

In mixed fraction:

$\boxed{ \ (196)/(5) = \ ? \ }$

$\boxed{ \ = (195)/(5) + (1)/(5) \ }$

$\boxed{ \ = 39 + (1)/(5) \ }$

$\boxed{\boxed{ \ 39(1)/(5) \ }}$

In decimal:

$\boxed{ \ 39(1)/(5) = \ ? \ }$

$\boxed{ \ = 39(1 * 2)/(5 * 2) \ }$

$\boxed{ \ = 39(2)/(10) \ }$

$\boxed{\boxed{ \ 39.2 \ }}$

Thus, the result is $\boxed{\boxed{ \ 39(1)/(5) \ or \ 39.2 \ }}$ .

Learn more

$(2)/(3)$ of the product of $(3)/(8)$ and 16 brainly.com/question/915563
100 is 1/10 of what? brainly.com/question/96535
4 times as much as 3 is brainly.com/question/573729

Keywords: what, 7 copies, the sum of, 8 fifths and 4, write an expression to match, and then evaluate, 39¹/₅ or 39.2, multiply, parentheses, in mixed fraction, decimal

all you have to do is 8 x 4 answerx7

Which expression is a difference of squares with a factor of 5x − 8?25x2 − 16
25x2 + 16
25x2 − 64
25x2 + 64

Answers

Answer:

option (3) is correct.

$25x^2-64$

Step-by-step explanation:

Given : factor 5x − 8

We have to choose an expression out of given option that is a difference of squares with a factor of 5x − 8

Using algebraic identity $a^2-b^2=(a+b)(a-b)$

a difference of squares is written mathematically as $a^2-b^2$

Since one factor is 5x − 8

using identity stated above other factor has be 5x+8

Thus $(5x+8)(5x-8)$

On simplify , we get

$(5x+8)(5x-8)=(5x)^2-8^2=25x^2-64$

Thus, option (3) is correct.

a2 - b2 = (a-b)(a+b)

(5x-8)(5x+8) = 25x2 - 64

answer: 25x2 - 64

Does anybody know the answer. 51 - 3 + 5k = 58

Answers

Answer:

k=2

Step-by-step explanation:

1. 48+5k=58

2. 5k=58-48

3. 5k=10

4. k=10/5

5. k=2

Nancy does 5 loads of washing per week using a box of a 1.2kg box of Fab using 60 grams per wash.How many weeks should the box of washing powder last.

Answers

So 1.2 Kg = 1200 g
5 washes per week = 60 grams x 5 times = 300 grams per week
1200 grams total divided by 300 grams per week
= 4 weeks

So the answer is 4 weeks

Find the area of the circle. Round your answer to two decimal places, if necessary.

Answers

Final answer:

To find the area of a circle, use the formula A = πr^2. Identify the radius and substitute it into the formula to calculate the area. Round the answer to two decimal places if necessary.

Explanation:

To find the area of a circle, you can use the formula A = πr^2, where A represents the area and r represents the radius of the circle. Start by identifying the radius of the circle, which is the distance from the center to any point on the circumference. Once you have the radius, substitute its value into the formula and calculate the area. Make sure to round your answer to two decimal places if necessary. For example, if the radius of the circle is 5 units, the area would be A = 3.14 * 5^2 = 3.14 * 25 = 78.5 square units.

Learn more about Area of circle here:

brainly.com/question/36846754

#SPJ3

Answer: 200.96 cm

Step-by-step explanation:

Area of a circle: $A=\pi r^2$

Since we don't have the radius, we have to find it.

What you gave me is the diameter which is 16 (cm) I suppose.

Radius is half the diameter. Therefore we can divide the diameter by 2 to find the radius.

16/2=8cm

This is our radius.

Plug this into the area formula.

$A=\pi r^2\nA=(3.14)(8)^2\nA=200.96cm$

49p²-84pq+36q² factor

Answers

You're in luck.

When faced with a monster like this, take some time to look it over.
Notice that the first term is a square, the last term is a square, and
the middle term is double the product of the square roots. Noticing
this, you realize immediately that the whole thing is a perfect square,
and you can write its equivalent by inspection:

49p² -84pq + 36q² = (7p - 6q)²

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