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Harlamova29_29 [7]

4 years ago

11

Find the constants m and b in the linear function f(x) = mx + b so that f(4) = 1 and the straight line represented by f has slop

e -14

1 answer:

HACTEHA [7]4 years ago

6 0

The equations is f(x)=-14x-55
m=-14
b=-55

I checked my answer by plugging in (4,1) which was given.

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2/5 miles in 1/4 hour what is the speed in miles per hour

Pepsi [2]

I think its 1/10 miles/hour

8 0

3 years ago

A group of friends wants to go to the amusement park. They have $116 to spend on parking and admission. Parking is $10.25, and t

Alexus [3.1K]

Answer:

2 people

Step-by-step explanation:

no. of people = x

total parking costs = 10.25x

total tickets cost = 35.25x

total = 10.25x + 35.25x

suppose 3 people go, then the total cost will be

10.25(3) + 35.25(3) = 136.5 and this is greater than 116

Suppose 2 people go then the cost will be

10.25(2) + 35.25(2) = 91 which is less than 116

so only 2 people can go.

7 0

2 years ago

Use the Factor Theorem to determine whether x + 1 is a factor of P(x) = 2x³+4x²–2x−8.

Harman [31]

Answer: $2x^2+2x-4-\frac{4}{x+1}$

Not a factor because there is a remainder.

Step-by-step explanation:

Let's use synthetic division to solve this..

-1 ║ 2 | 4 | -2 | -8

║ | -2| -2 | 4

║ 2 | 2| -4 | -4

$2x^2+2x-4-\frac{4}{x+1}$

PS: if anyone knows a better way to do a synthetic division chart please let me know.

5 0

2 years ago

Write the equation of the line in fully simplified slope-intercept form.

coldgirl [10]

Y= -1/2x - 4

hope this helps! :)

7 0

3 years ago

When Justin goes to work, he drives at an average speed of 65 miles per hour. It takes about 1 hour and 30 minutes for Justin to

Fofino [41]

Answer:

Justin spends $14.24 on gas to travel to work.

Step-by-step explanation:

Given:

Average speed at which Justin goes to work = 65 miles/hour

Time taken by Justin to arrive at work = 1 hour and 30 minutes = 1.5 hours [As 30 minutes =0.5 hours]

Distance he can travel per gallon of gas = 25 miles.

Cost of per gallon of gas = $3.65

Solution:

We first determine the distance Justin travels to work.

Distance = $Speed\times time$

Distance = $65\times 1.5 = 97.5\ miles$

Using unitary method to find the amount of gas required to cover the distance.

If 25 miles is covered in 1 gallon of gas

Then 1 mile will be covered in = $\frac{1}{25}$ gallons of gas

So, to cover 97.5 miles gas required = $\frac{1}{25}\times 97.5=3.9$ gallons of gas.

Using unitary method to find the cost of 3.9 gallons of gas.

Cost of 1 gallon of gas = $3.65

So, cost of 3.9 gallons of gas will be = $\$3.65\times 3.9=\$14.235\approx\$14.24$ (Answer)

3 0

4 years ago