MATHEMATICS HIGH SCHOOL

Given linear function g(x) = 5 - 2/3 xa) find g(9)
AND
b) solve g(x)=7 for x

Answers

Answer 1

Answer:

For part a, we need to substitute 9 for x.

g(x) = 5 - 2/3(9). Simplify the right side of the equation.

g(x) = 5 - 6.

g(x) = -1

For part b, we need to solve for x by substituting 7 for g(x).

7 = 5 - 2/3x. Subtract 5 from both sides.

2 = -2/3x. Divide each side by -2/3.

-3 = x

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Brownies are now on sale. Each brownie costs $0.20 less than the original price. Right now, if you buy 8 of them it will cost $15.20

Answers

Answer: The original price of brownie was $2.1 each.

Step-by-step explanation:

since we have given that

Let the original price will be x

Number of brownie purchased = 8

According to question , each brownie costs $0.20 less than the original price.

So, it becomes

$8* (x-0.20)=\$15.20\n\n8x-1.6=15.20\n\n8x=15.20+1.60\n\n8x=16.8\n\nx=(16.8)/(8)\n\nx=\$2.1$

Hence, the original price of brownie was $2.1 each.

The work of a student to solve a set of equations is shown:Equation A: y = 4 − 2z
Equation B: 4y = 2 − 4z
Step 1: −4(y) = −4(4 − 2z) [Equation A is multiplied by −4.]
4y = 2 − 4z [Equation B]
Step 2: −4y = 4 − 2z [Equation A in Step 1 is simplified.]
4y = 2 − 4z [Equation B]
Step 3: 0 = 6 − 6z [Equations in Step 2 are added.]
Step 4: 6z = 6
Step 5: z = 1
In which step did the student first make an error?
Step 1
Step 3
Step 4
Step 2

Answers

in step 2 .. because when you multiple by -4 in step 1 , the equation in step 2 will be ( -4y =-16 + 8z)

Which shows one way to determine the factors of 4x3 + x2 – 8x – 2 by grouping?x2(4x + 1) – 2(4x + 1)
x2(4x – 1) + 2(4x – 1)
4x2(x + 2) – 1(x + 2)
4x2(x – 2) – 1(x – 2)

Answers

group first 2 and group last 2 and find factors and undistribute

(4x^3+x^2)+(-8x-2)
(x^2)(4x+1)+(-2)(4x+1)
x^2(4x+1)-2(4x+1)
answer is first one

The way to determine the factors of the given polynomial is; x²(4x + 1) - 2(4x + 1)

How to factorize polynomials?

We are given the polynomial;

4x³ + x² – 8x – 2

We can group the polynomial as follows;

(4x³ + x²) + (-8x - 2)

This grouping can be further factorized to get;

x²(4x + 1) + (-2)(4x + 1)

⇒ x²(4x + 1) - 2(4x + 1)

Read more about polynomials at; brainly.com/question/4142886

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if the recycling club collected 48 aluminum cans 3/4 of the cans was from 6th grade was 1/6 was from 7 grade and the rest was from 8th grade how many cans were collected by 8th grade

Answers

Answer: 4 cans

Step-by-step explanation:

If you evaluate all the amounts of cans collected from each grade you get 44 so the remainder is 4 so the number of cans that came from eighth grade is 4

1.0 liter of a gas at standard pressure and pressure is compressed to 473ml. What is the new pressure of the gas?

Answers

If we assume that T does not change, then PV = k.

If this is true, then P1V1 = P2V2 (Boyle's Law)

P1 = 1 atm (standard pressure)
V1 = 1 L
P2 = ?
V2 = .473L

P2 = 2.11 atm

H(n)=2n-5
Find h(-5)