MATHEMATICS HIGH SCHOOL

Is (−5,−8) a solution of y>3x+6

Answers

Answer 1
Answer:

Answer: Yes the point (-5,-8) is a solution

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Explanation:

The point (-5,-8) means x = -5 and y = -8 pair up together.

Let's plug those values into the inequality

y > 3x+6

y > 3(-5)+6 .... replace x with -5

-8 > 3(-5)+6 ... replace y with -8

-8 > -15+6

-8 > -9

The last inequality is true. The value -8 is larger than -9 since -8 is to the right of -9 on a number line. Stuff on the right is larger than stuff on the left.

Since the last inequality is true, this means the first inequality is true when (x,y) = (-5,-8). Therefore (-5,-8) is a solution.

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Lake City has a population of 3600 and is expected to grow by a factor of 1.3 every 10 years. Which is the best estimate of Lake City's population 50 years from now?

A.23,400

B.18,000

C.13,400

D.4,680

Answers

If you would like to estimate Lake City's population 50 years from now, you can do this using the following steps:

1.3 * 3600 = 4680
1.3 * 4680 = 6084
1.3 * 6084 = 7909.2
1.3 * 7909.2 = 10281.96
1.3 * 10281.96 = 13366.548 = 13400

The correct result would be C. 13,400.

What is the slope of the line that contains these two points (-2,2) and (3,2)

Answers

We see based on these points that while the x increases by 5, the y does not change. Therefore, the slope is 0/5=0, by the basic slope formula.

What is the solution to the following equation?

5(2x –6) + 20 = 10 (4 points)

Answers

5(2x-6)+20=10

Distribute

(5)(2x)+(5)(-6)+20=10

10x-30+20=10

Combine like terms (10x)+(-30+20)=10

10x-10=10

Add 10 to both sides

10x-10+10=10+10

10x=20

x = 20/10

x= 2


I hope that's help !


you have 160 boxes of cookies, in each case you can pack 8 boxes. how many cases will be packed from these cookies ?

Answers

1 case=8 boxes of cookies   and we have 160 boxes
160/8=20
we will have 20 cases

A doctor estimates that a particular patient is losing bone density at a rate of 3% annually. The patient currently has a bone density of 1,500 kg/mg3. The doctor writers an exponential function to represent the situation. Which values should the doctor use of a and b in a function written in the form f(x)= abx, where f(x) represents the bone density after x years?

Answers

If a patient is losing bone density at the rate of 3 % annually then it will rest:
100% - 3% = 97 %, or 0.97 of a bone density.
The doctor should use a function:f(x)= 1,500 * 0.97^(x)
a = 1,500,  b = 0.97

4.5+(-12)+(-4.5) I need this answer now please

Answers

Answer:

-12

Step-by-step explanation:
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