MATHEMATICS HIGH SCHOOL

Given that g(4)=9 and g(-11)=k, find the value of k that would result in a slope of 5 between the two points.

Answers

Answer 1

Answer:

Answer:

$k=-66$

Step-by-step explanation:

So we are given two values:

$g(4)=9 \text{ and } g(-11)=k$

They can be interpreted as: (4,9) and (-11,k).

So, we want to find the value of k such that the slope of the line between the two points would be 5.

Recall the slope formula. It is:

$m=(y_2-y_1)/(x_2-x_1)$

Let (4,9) be x₁ and y₁ and let (-11,k) be x₂ and y₂. Substitute 5 for m. Therefore:

$5=(k-9)/(-11-4)$

Simplify the denominator:

$5=(k-9)/(-15)$

Multiply both sides by -15. The right side cancels:

$-15(5)=(-15)(k-9)/(-15)\n -75=k-9$

Now, add 9 to both sides. The right side cancels.

$(-75)+9=(k-9)+9\nk=-66$

Therefore, k is -66.

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Grey ran 2.4 times as many miles as Emory. If Emory ran 2.08 miles, how many miles did Grey run?

Answers

The answer is 4.992 and I checked that on a calculator so I'm positive that this is the right answer to your problem.

A woman making $1500 per month has her salary reduced by 10% because of sluggish sales. One year later, after a dramatic improvement in sales, she is given a 30% raise over her reduced salary. Find her salary after the raise.What percent change is this from the $1500 per month?

Answers

Answer:

after the raise, her salary is $1755 per month
this is a +17% change from her original salary

Step-by-step explanation:

The multiplier of her original salary to her reduced salary is ...

(1 - 10%) = 0.90

The multiplier of her reduced salary after her raise is ...

(1 +30%) = 1.30

The multiplier of her raised salary from her original salary is ...

(0.90)(1.30) = 1.17 = (1 +17%)

Her salary after the 17% raise is ...

1.17·1500/mo = $1755/mo

Answer:

17 %

Step-by-step explanation:

new salary=1500(0.9)(1.3) =1755 $

increase=1755-1500=255 $

% increase=(255/1500)×100=17

All of the following fractions are equivalent to 1/2 , except:A.2/4
B.5/10
C.4/7
D.3/6

Answers

C) 4/7 is not equal to 1/2

Answer:

I think that 4/7 is not equivalent to 1/2

Step-by-step explanation:

Rewrite 5/3 as an improper fraction.

Answers

Answer:

1 - -

Step-by-step explanation:

gogiueueudkdkdkd

Answer:

1 2/3

Step-by-step explanation:

Jesse loves to go hiking on rustic trails through trees and along rivers. One day in 20 minutes of hiking she hiked 1 mile. If Jesse hike at a constant rate what would the rate be

Answers

Answer:

0.05 mile per minutes

Step-by-step explanation:

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered

Miles covered = 1 mile

Time covered = 20 minutes

Jesse's rate of hiking (miles per minute) = Total miles covered / Time covered(minutes)

= 1 mile / 20 minutes

= 0.05 mile per minutes

20 minutes

= 20 × 60 seconds

= 1200 seconds

Jesse's rate of hiking (miles per seconds) = Total miles covered / Total time taken (seconds)

= 1 mile / 1200 seconds

= 0.0008333333333 miles per seconds

Approximately 0.000833 miles per seconds

3n-5=-8(6+5n) SOLVE

Answers

It's gonna be a long problem: Remember PEMDAS
3n-5=8(6+5n)
3n-5= 48 + 40n Distribute 8 into parenthesis
3n-3n-5=48+40n-3n Put variable on one side.
-5-48=48-48+37n Isolate the variable
-43/37=37n/37 Isolate variable more
-1.162=n Simplify
The answer is repeating; that is a shortened version.

t's gonna be a long problem: Remember PEMDAS

3n-5=8(6+5n)

3n-5= 48 + 40n Distribute 8 into parenthesis

3n-3n-5=48+40n-3n Put variable on one side.

-5-48=48-48+37n Isolate the variable

-43/37=37n/37 Isolate variable more

-1.162=n Simplify

The answer is repeating; that is a shortened version.

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