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3 years ago

Please help me out!!!!!!! 54 points!

Mathematics

1 answer:

statuscvo [17]3 years ago

4 0

Answer:

1. (x+5)(x-1)

6. (3x+4)(x-6)

9. (x+5)(x-5)

Step-by-step explanation:

To factor an equation, break the polynomial into two binomials which multiply to make it. There are three main ways to factor:

Regular: Find two numbers that multiply to C and add to B from $ax^2 + bx + c$ .

$x^2+4x-5 = (x+5)(x-1)$

Grouping: Find two numbers that multiply to A*C and add to B. Then split B into the two factors and factor by GCF.

$3x^2-14x-24\\3x^2 - 18x + 4x - 24\\(3x^2-18x)+(4x-24)\\3x(x-6)+4(x-6)\\(3x+4)(x-6)$

Difference of Squares: Factor by taking the square root of each term. $a^2-b^2 = (a-b)(a+b)$

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

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The assets (in billions of dollars) for a financial firm can be approximated by the function A(x)=318e^0.27x, where x=7 correspo

Mashutka [201]

The value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively. A function assigns the values.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

Given the assets (in billions of dollars) for a financial firm can be approximated by the function $A(x)=318e^{0.27x}$ , where x=7 corresponds to the year 2007. Therefore, the assets value in the following years will be,

A.) 2012 - $A(12)=318e^{0.27\times 12} = 8,119.72$

B.) 2014 - $A(14)=318e^{0.27\times 14} = 13,933.5$

C.) 2012 - $A(17)=318e^{0.27\times 17} = 31,321.23$

Hence, the value of the asset in 2012, 2014, and 2017 are 8119.72, 13933.55 and, 31321.23, respectively.

Learn more about Function:

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2 years ago

What is this expression in simplest form?

gayaneshka [121]

Answer:

A. 1÷(X+1) (x-2)

some steps are directly

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8 0

2 years ago

The graph shows the dilation of quadrilateral MNOP with the origin as its center. Which rule describes this transformation?

lana66690 [7]

Answer:

D) (x, y) → (1/3x , 1/3 y)

Step-by-step explanation:

A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.

Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.

Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.

Answers B and C show a translation/movement of the shape, not a dilation.

8 0

3 years ago

12x+7<−11 OR 5x−8>40<br> solve for x

kipiarov [429]

Answer:

x < -1.5 U x > 9.6

Step-by-step explanation:

12x + 7 < -11

x < -1.5

5x - 8 > 40

5x > 48

x > 9.6

6 0

4 years ago

Read 2 more answers

Use the formula d = rt to find the distance d a long-distance runner can run at a rate r of 9 1/2 miles per hour for time t of 1

boyakko [2]

multiply the 2 numbers

9 1/2 * 1 3/4 =

19/2 * 7/4 = 133/8 = 16 5/8 miles

6 0

3 years ago