Suppose f(x) = 6x2 + 2x - 7 and g(x) = 4x - 3. Find each of the following functions.

a.(f+g)(x)
b. (f-9)(x)

Answer:

y = 2x+6

Step-by-step explanation:

y = 2x + 5

This line is in slope intercept form  y = mx+b where m is the slope and b is the y intercept

The slope is 2.  Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6

Answer:

Step-by-step explanation:

This is a very interesting problem. We are given the slope and one point, which makes this funner than normal ;)

Filling in the slope formula with what we are given:

[tex]-\frac{3}{5}=\frac{y-2}{x-(-3)}[/tex] which simplifies to

[tex]-\frac{3}{5}=\frac{y-2}{x+3}[/tex]

Since slope is rise over run, the rise number is -3; the run number is 5. That means that the equation to find the y coordinate comes from -3 = y - 2; the equation to find the x coordinate comes from 5 = x + 3 (keep in mind that you could have made the x coordinate the negative one; it doesn't matter. You will get the same answer regardless...promise).

Solving for y:

-3 = y - 2 and

y = -1

Solving for x:

5 = x + 3 and

x = 2

Let's check those coordinates in the slope formula and see if our slope is in fact -3/5:

[tex]m=\frac{-1-2}{2-(-3)}=-\frac{3}{5}[/tex] so we're all good!

The coordinates of B are (2, -1)

Answer:

Calculator cost = $34

Step-by-step explanation:

x + (x+140) = 208

2x + 140 = 208

x=34

Answer:

Yes you are

Step-by-step explanation:

If you multiply the first equation by 3 , y becomes 3y and so you can eliminate from there.

Answer:

= 2520

Step-by-step explanation:

In 2520 distinct way the letter "ALGEBRA " can be Arranged

I think it's the answer

Answer:

1.2

Step-by-step explanation:

- 8. 3 + 3. 7 = -4

-4 - 4 .4 = - 8. 4

-8.4 + 9.2 = 1.2

Answer:

1.

C. 5y -7 is an algebraic expression difference with two terms.

Answer:

$57 interest

Step-by-step explanation:

For an interest rate of 19% ; the monthly interest will be 19/100 = 0.19

4 months interest will be (0.19 * 4)/12 = 0.0633

so now, the value of the interest will be

0.0633 * 900 = $57

Answer:

0

Step-by-step explanation:

x + y = 3

y = 3

=> x + 3 = 3

=> x = 3 - 3

=> x = 0

Answer:

- 8

Step-by-step explanation:

Substitute x = - 1 into the expression , that is

8x³

= 8(- 1)³ = 8(- 1) = - 8

Answer:

7920

Step-by-step explanation:

you can use the binomial theorem obviously but you can also use symbolabs or wolframalpha and just solve it like that.

Height of parallelogram =12cm

Answer:

80%

Step-by-step explanation:

Change is (45-25)/25*100=(20/25)*100=80%

Answer:

4

Step-by-step explanation:

A+B+C = 180

C = 90

A+B = 90

A=90-B

Cos (A) = Sin(90-A)

Answer:

D. Subtract 9y from both sides of the equation.

Step-by-step explanation:

A. Divide both sides of the equation by 36.

B. Multiply both sides of the equation by 6.

C. Add 9y to both sides of the equation.

D. Subtract 9y from both sides of the equation.

Given:

9y - 6x = 36

To solve for x

Step 1: subtract 9y from both sides

9y - 6x - 9y = 36 - 9y

- 6x = 36 - 9y

Step 2: Divide both sides by -6

- 6x / -6 = (36 - 9y) / - 6

x = (36 - 9y) / - 6

The answer is

x = (36 - 9y) / - 6

Answer:

d

Step-by-step explanation:

Answer:

20.4

Step-by-step explanation:

that is the procedure above

Answer:

Step-by-step explanation:

Answer:

B) To the left five units, down three units

Answer:

( B ) To the left five units, down three units.

Answer:

-6

Step-by-step explanation:

A parabola is vertex form is written as

y = a(x-h)^2 +k  where (h,k) is the vertex

Substituting in the vertex

y = a(x-5)^2 +5

We know a point on the parabola so we can find a

-1 = a( 6-5)^2 +5

-1 =a(1)^2+5

-1 = a +5

Subtract 5 from each side

-1-5 = a

-6 =a

Answer:

Number of Books. Cost (dollars). 7 14. 8 16. 9 18. Find equivalent ratios when the number of books ordered is 1, 2, and 3. Write them as ordered pairs in the form...

Answer:

x < -3 and x > 5

Step-by-step explanation:

x² - 2x - 8 > 7

~Rewrite in standard form

x² - 2x - 15 > 0

~Factor

(x + 3)(x - 5) = 0

~Solve for both factors

x + 3 = 0

x = -3

x - 5 = 0

x = 5

Best of Luck!

Answer

Mandisa uses more balloon per animal.

Amira and Mandisa made the same amount of balloon animals.

Explanation

Mandisa uses 5 balloons per animal.

You can find this out by putting the difference between two of the y values (output, dependent variable, in this case balloons) over the difference between two of the x values (input, independent variable, in this case animals). Let's take 225 and 125 from the y value and 20 and 40 from the x value. Mandisa uses 225-125=100 balloons per 40-20=20 animals. Mandisa uses 5 balloons per animal. 5 is more than 4 (how many balloons Amira uses for each animal), so Mandisa uses more balloons per animal.

Amira and Mandisa made the same amount of balloon animals.

Now you can divide the number of balloons they had at the beginning by the number of balloons per animal to find out how many animals each person made. Amira started with 260 balloons and used 4 balloons for each animal. Amira made 260/4=65 animals.

If Mandisa used 100 balloons to make 20 animals, she would have had 225+100=325 balloons at the beginning. Mandisa made 325/5=65 animals.

Answer:

[tex]{ \tt{ \sqrt{ {x}^{2} } + 2x + 2}} \\ { \tt{ = x + 2x + 2}} \\ = { \tt{3x + 2}}[/tex]

Hi!

x² + 7x + 9 = 3

x² + 7x + 9 - 3 = 0

x² + 7x + 6 = 0

Answer:

x^2+7x+ 6 = 0

Step-by-step explanation:

x^2+7x+ 9 = 3

Subtract 3 from each side

x^2+7x+ 9-3 = 3-3

x^2+7x+ 6 = 0

Answer:

Absolute value.

Step-by-step explanation:

We have the expression:

[tex]\displaystyle \sqrt{s^2}[/tex]

The square root and the square will cancel. This yields:

[tex]=|s|[/tex]

We need the absolute value because any value squared is positive. The square root of a positive value will also be positive.

In other words, if we only simplified the expression down to s without the absolute value, if s was originally negative, our simplification will have also been negative.

For instance, say s = -7, then:

[tex]\displaystyle \sqrt{(-7)^2}=\sqrt{49}=7[/tex]

However, if we let √s² = s, then s = -7. By having the absolute value, we have that |s| = |-7| = 7, which is the correct statement.

Answer:

-2x + 3y = -19

Step-by-step explanation:

y + 1 = 2/3(x-8)

multiply by 3 to get rid of the fraction

3(y + 1 = 2/3(x-8)

3y + 3 = 2(x-8)

simplify

3y + 3 = 2x - 16

3y - 2x = -19

-2x + 3y = -19