MATHEMATICS HIGH SCHOOL

If p(x) = x +9, and q(x) = 2x² + 3x, find p(2a) - q(a)

Answers

Answer 1
Answer:

Answer:

p(2a) - q(a) = -2a² + 2a + 9

Step-by-step explanation:

Given;

p(x) = x + 9 and q(x) = 2x² + 3x,

we can replace 2a and a for p(x) and q(x).

p(2a) = 2a + 9 and q(a) = 2a² + 3a are the substituted values.

Now we can evaluate p(2a) - q(a):

p(2a) - q(a) = (2a + 9) - (2a² + 3a)

= 2a + 9 - 2a² - 3a

= -2a² + 2a + 9

p(2a) - q(a) = -2a² + 2a + 9

Hope this helps!

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The sum of 5 consecutive integers is 505.
What is the fifth number in this sequence?

Answers

Answer:

103

Step-by-step explanation:

99+100+101+102+103=505

Simplify 5(x - 6).

-x
5x - 6
5x - 30

Answers

5x-30

When multiplying a term (either constant or variable) by a quantity in parentheses, we multiply each term inside the parentheses by that term. So 5 times x minus 5 times 6.

By rounding to 1 significant figure, estimate494.37
÷
5.12

please help tyty x

Answers

To round 494.37 to 1 significant figure, it becomes 400. To round 5.12 to 1 significant figure, it becomes 5. When we divide 400 by 5, we get 80.

For rounding 1 significant figure, we look at the first non-zero digit in the number. In this case, the first non-zero digit is 4. We keep that digit and drop all the digits to the right of it. So, 494.37 becomes 400.

Similarly, for 5.12, the first non-zero digit is 5. We keep that digit and drop all the digits to the right of it. So, 5.12 becomes 5.

Now, we divide 400 by 5, which gives us 80.

Learn more about Rounding here:

brainly.com/question/34045884

#SPJ3

Answer:

100

Step-by-step explanation:

rounding to 1 sig figure

494.37 ≈ 500

5.12 ≈ 5

Estimating

500 ÷ 5 = 100

The graph shows the functions f(x), p(x), and g(x):Part A: What is the solution to the pair of equations represented by p(x) and f(x)?

Part B: Write any two solutions for f(x).

Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.

Answers

The function f(x) is:

f(x)=x

This is because the line f(x) passes through the points (-1,-1), (0,0), (1,1) etc.

The function p(x) is:

p(x)=mx+C

Whereby (m) is the slope and (C) is a constant.

m=-4/3, as m=tan(ω)=O/A=-4/3 as slope is negative.

Now when y=-3, x=-3.

So:

-3=-4/3 *(-3) +C

-3= 4 + C

C=-7

This means that:

p(x)=-4/3x -7

Now, where p(x)=g(x), x=-6.

p(-6)=-4/3 * (-6) -7

p(-6)=24/3 -7

p(-6)=8-7

p(-6)=1

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p(x) and g(x) meet at (-6, 1) and the solution to p(x)=g(x) is x=-6.

How to change numbers into decimals using common core standards?

Answers

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Answers

Answer:

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Step-by-step explanation:

You want to get y by itself. subtract 2x from both sides. now you're left with 4y = -2x + 4. then divide both sides by 4 to get y by itself. this equals y = -1/2x + 1
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