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svetoff [14.1K]

3 years ago

12

Pls help me ??

latex-formula">

1 answer:

Katena32 [7]3 years ago

4 0

Answer:

a=110

b=70

c=110

d=70

e=110

f=70

g=110

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Can some help me with this problem

Svetlanka [38]

Answer:

Step-by-step explanation:

So let's find the equation of the line for f(x). We know the y-intercept, also known as b in the equation of the line for f(x), is 3. (b = y-intercept = 3)

y = mx + <u>b</u>

y = mx + <u>3</u>

Now, to find the slope you must use the formula of...

(y₂ - y₁) / (x₂ - x₁)

We have two points of the line already shown. We will now use the formula to find out the slope.

(3 - 1) / (0 - 1) = 2 / -1 = -2, the slope is -2. (m = slope = -2)

y = <u>m</u>x + 3

y = <u>-2</u>x + 3

Now check the following statements and see which ones are true.

A is <em>not </em>a true statement.

B is <em>not </em>a true statement because a slope of -6 is steeper than -2. The negative slope only changes the direction of the line.

C is <em>not </em>a true statement because the slope of f(x) is not undefined.

D <u>is</u> a true statement because the line of f(x) is less steep than the slope of g(x).

KEEP IN MIND THE SLOPE IS M IN THE EQUATION OF A LINE.

3 0

4 years ago

Suppose that f and g are two functions with the same domain. If f(x)equalsg(x) for every x in the domain, the equation is cal

stealth61 [152]

Answer:

Identity; conditional

Explanation:

Identity functions are functions that returns the SAME value which was used in its argument. In this case, f(x) = g(x). Therefore f(x) = g(x) = x.

Conditional functions are conditions that evaluates the condition and returns DIFFERENT values all depending on the condition value. That is, in this case, f(x) is not equal to g(x) for every x domain.

So, while identity functions returns the same value, conditional functions returns different functions.

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4 years ago

There are 15 m and ms that are peanut or small, 2 m and ms that are peanut and small, and 9 m and ms that are small. How many m

Nat2105 [25]

Answer:

8

Step-by-step explanation:

There are 15 -9 = 6 that are peanut and not small. Adding the 2 that are peanut and small, there are a total of 8 peanut M&Ms.

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3 years ago

Read 2 more answers

How much money should be deposited to earn 12000 in three years at 8%

Salsk061 [2.6K]

What exactly is your question?

8 0

3 years ago

Can anyone help me do the questions that are circled with red and you don't need to do the graphing calculator thing, please

creativ13 [48]

Answer:

There are six problems circled in red.

As requested, only the analytical solutions are shown.

Question 16. Factor the polynomial

$44+15h+h^2$

Answer: (h + 4) (h + 11)

Question 17. Factor the polynomial

$40-22x+x^2$

Answer: (x - 2) (x -20)

Question 18. Factor the polynomial

$-24-10x+x^2$

Answer: (x - 12) (x + 2)

Question 19. Factor the polynomial

$-42-m+m^2$

Answer: (m - 7) (m + 6)

Question 20. Solve the equation

$x^2-7x+12=0$

Answer: x = 4 and x = 3

Question 22. Solve the equation

$x^2-6x=27$

Answer: x = 9 and x = - 3.

Explanation:

Question 16. Factor the polynomial

$44+15h+h^2$

1. Rearrange the terms:

$h^2+15h+44$

2. Open two parenthesis and place the common variable, h, as the first term of each.

$(h+a)(h+b)$

You are going to determine the values of a and b.

3. The values of a and b must satisfy that their product is 44 and their sum is 15.

a + b = 15 and a × b = 44

11 and 4 meet those conditions: 11 + 4 = 15, and 11 × 4 = 44.

So, the factored polynomial is:

$(h+4)(h+11)$

Question 17. Factor the polynomial

$40-22x+x^2$

1. Rearrange the terms:

$x^2-22x+40$

2. Write two binomials; each with first term x

(x-a)(x-b)

The negative sign for a comes from the negative sign before 22x; the negative sign of b comes from the product of the signs of -22x and + 40.

3. Find a and b such that a + b = 22 and a × b = 40

20 + 2 = 22 and 20 × 2 = 40, so the binomials are (x - 2) and (x - 20)

And the factored polynomial is:

$(x-2)(x-20)$

Question 18. Factor the polynomial

$-24-10x+x^2$

1. Rearrange the terms

$x^2-10x-24$

2. Sketch two binomials

$(x-a)(x+b)$

The negative sign for a corresponds to the negative sign for -10x, and the positive sign for b corresponds to the multplication of the signs of -10x and -4.

3. Find a and b such that their product is -24 and their aum is - 10.

Those numbers are - 12 and + 2:

- 12 + 2 = - 10
- 12 × (2) = - 24

Thus, the two factors are (x - 12) and (x +2).

And the factored polynomial is:

$(x-12)(x+2)$

Question 19. Factor the polynomial

$-42-m+m^2$

1. Rearrange the terms

$m^2-m-42$

2. Sketch the factors:

$(m-a)(m+b)$

The negative sign for a corresponds to the negative sign in front of m, the positive sign for b corresponds to the product of the signs of -m and -42.

3. Find two numbers, a and b, such that - a + b = - 1, and a × b = - 42

Those numbers are 6 and 7:

- 7 + 6 = - 1
-7 × 6 = - 42

Then, the factors are m - 7 and m + 6.

The factored polynomial is:

$(m-7)(m+6)$

Question 20. Solve the equation

$x^2-7x+12=0$

1. Factor the left side:

Find two numbers that sum -7 and their product is + 12. Those two numbers are - 4 and - 3.

$(x-4)(x-3)=0$

2. Use the zero product rule

x - 4 = 0 or x - 3 = 0

x = 4 or x = 3

Both, x = 4 and x = 3 are solutions.

Hence, the solutions are x = 4 and x = 3.

Question 22. Solve the equation

$x^2-6x=27$

1. Move 27 to the left side (using subtraction property of equalities):

$x^2-6x-27=0$

2. Factor the polynomial.

Find two numbers whose sum is - 6 and their product is - 27.

Those numbers are - 9 and + 3:

- 9 + 3 = - 6
- 9 × 3 = 27

$(x-9)(x+3)=0$

3. Zero product rule

$x-9=0\\ \\ x=9\\ \\ x+3=0\\ \\ x=-3$

The two solutions are: x = 9 and x = -3

3 0

4 years ago