MATHEMATICS HIGH SCHOOL

Solve the system using substitution. Show your work.
y=-4x+2
x-2y=23

Answers

Answer 1
Answer:

Answer:

1. y = -4x + 2

Now, we can substitute this expression for y into the second equation:

2. x - 2y = 23

Substitute the value of y from equation 1 into equation 2:

x - 2(-4x + 2) = 23

Now, simplify and solve for x:

x + 8x - 4 = 23

Combine like terms:

9x - 4 = 23

Add 4 to both sides:

9x = 27

Divide by 9:

x = 3

Now that we have found the value of x, substitute it back into equation 1 to find y:

y = -4x + 2

y = -4(3) + 2

y = -12 + 2

y = -10

So, the solution to the system of equations is:

x = 3

y = -10

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Plzz help! Can you also explain. ps. It’s not 4
(8x^2-32)/(8x+16)What is the quotient after canceling common factors and simplifying?

Order these from least to greatest

Answers

order what there is nothing to order sorry

Help plssss it’s timed ty

Answers

Answer:

A is the correct answer m8

Hey need help asap :):):):

Answers

Answer:

C Option is the right one. (•‿•)(•‿•)(•‿•)(•‿•)

Answer:

Its B

Step-by-step explanation:

Distribute and do not forget the minus in the middle and the 4 is negative

Alissa is analyzing an exponential growth function that has been reflected across the y-axis. She states that the domain of the reflected function will change because the input values will be the opposite sign from the reflected function. Simon disagrees with Alissa. He states that if an exponential function is reflected across the y-axis, the domain will still be all real numbers.

Answers

Answer:

Consider the exponential function

y=Ae^x

                     -----------(1)

and when it is reflected across y axis , it's equation becomes

y=Ae^(-x)

                --------------------------(2)

As, domain of a function is defined as the set of all values of x , for which y is defined.

So, for function 1,  domain is set of all real numbers.That is , x∈[-∞ ,∞]

And for function 2, which is reflection of function 1, it's domain will also be set of all real numbers.That is , x ∈ [-∞, ∞]

So, Simon is correct between Alissa and himself, as he is saying if an exponential function is reflected across the y-axis, the domain will still be all real numbers is true statement.
Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input. 

In 1970, a bottle of dishwashing detergent cost $0.50. To answer each of the parts below, assume that the consumer price index (CPI) was 29.6 in 1960, 38.8 in 1970, and 82.4 in 1980.If the price of dishwashing detergent increased at the same rate as the CPI from 1970 to 1980, how much did a bottle of dishwashing detergent cost in 1980? By how much did the price of a bottle of dishwashing detergent increase from 1970 to 1980?

Answers

Given:
1970 price of dish washing detergent in a bottle : $0.50

CPI
1960 = 29.60
1970 = 38.80
1980 = 82.40

(82.40 - 38.80) / 38.80 = 1.124 
1.124 x 100% = 112.4% rate of increase

$0.50 * 112.4% = $0.562 is the 1980 price of the dish washing detergent.

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer. Write the specification as an absolute value inequality.

Answers

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12

The absolute value inequality is

|x-20|\leq 0.12

Given :

A furniture maker uses the specification 19.88 ≤ w ≤ 20.12 for the width w in inches of a desk drawer

We need to write the given inequality in absolute value inequality

if a-b<x<a+b then absolute value inequality is

|x-a|< b

To find out value of 'a'  and 'b' we need to use the given inequality

compare a-b<x<a+b with given inequality

a-b=19.88\na+b=20.12

Solve for 'a'  and 'b'

Add both equations

2a=40\na=20

Now find out b

a+b=20.12\n20+b=20.12\nb=20.12-20\nb=0.12

The required absolute value inequality is

|x-a|\leq b\n|x-20|\leq 0.12

Learn more : brainly.com/question/1770168

The correct answer is:

|w-20| ≤ 0.12.

Explanation:

We first find the average of the two ends of the inequality:

(19.88+20.12)/2 = 40/2 = 20

This will be the number subtracted from w in the inequality.

Now we find the difference between this value and the ends:

20-19.88 = 0.12

20.12 - 20 = 0.12

This will be what our absolute value inequality ends with; the "answer" part, so to speak.

Since this inequality is written in compact form, it must be an "and" inequality; this means the absolute value inequality must be a "less than or equal to."

This gives us

|w-20| ≤ 0.12
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