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bonufazy [111]
3 years ago
10

What is the y-intercept of a line that has a slope of –3 and passes through point (–5, 4)? –17 , –11 , 7 , 19

Mathematics
2 answers:
Alina [70]3 years ago
7 0

Answer: b= -11

Step-by-step explanation:

Edge 2020

Sindrei [870]3 years ago
3 0

Hey there! :)

Answer:

b = -11.

Step-by-step explanation:

Create an equation in slope-intercept form to solve for the intercept:

y = mx + b

Plug in the slope and point values:

4 = -3(-5) + b

Simplify:

4 = 15 + b

Solve for b:

-11 = b

b represents the y-intercept, therefore:

y-intercept = -11

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A child's sandbox is 5 feet wide, 4 feet long, and 3 feet deep. Grace fills the sandbox so that the sand is 2 ½ feet deep. What
8_murik_8 [283]

Answer:

the volume of sand is 50 ft^{3}

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

Length  l= 4 ft Width w= 5ft\\Height h = 3ft

if the sandbox is filled with sand of 2\frac{1}{2 } ft deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have 2\frac{1}{2} = \frac{5}{2}

the expression for the volume of a rectangular prism is

volume of sand = length * width* height

substituting our data into the expression we have

volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}

5 0
3 years ago
Kaitlyn drove 360 miles in 9 hours. If she continues driving at the same speed, how far will she have driven in 11 hours?
stellarik [79]

Answer:

440 miles

Step-by-step explanation:

First, you need to calculate the number of miles per hour. To do this, take the total number of miles traveled and divide it by the number of hours it took. 360/9=40. This means Kaitlyn drove at 40 miles per hour. Then, we need to multiply 40 by 11 to figure out the number of miles she drove in 11 hours because her speed stayed the same. 40*11=440. This means Kaitlyn will have driven 440 miles in 11 hours.

Hope this helps! :)

4 0
2 years ago
R−5r−6s+8s−15 what is the answer for this equation
weeeeeb [17]

Step-by-step explanation:

r-5r-6s+8s-15

-4r+2s-15

= 2s-4r-15

4 0
3 years ago
As a promotion, a clothing store draws the name of one of its customers each week. The prize is a coupon for the store. If the w
kompoz [17]

The given formula is f(x) = 20(1.2)^x

The formula is the starting amount multiplied by 1 + the percentage raised to the number of weeks.


A) the percent increase is 20% ( 1.2 in the formula is 1 +20% as a decimal)

B) the original amount is $20

C) for 2 weeks, replace x with 2 and solve:

20(1.2)^2

20(1.44) = $28.80

After 2 weeks the coupon is $28.80

D)  To solve for the number of weeks (x) set the equation equal to $100:

100 = 20(1.2)^x

Divide both sides by 20:

5 = 1.2^x

Take the natural logarithm of both sides:

ln(5) = ln(1.2^x)

Use the logarithm rule to remove the exponent:

ln(5) = x ln(1.2)

Divide both sides by ln(1.2)

x = ln(5) / ln(1.2)

Divide:

X = 8.83

At 8.83 weeks the coupon would be $100, so after 9 weeks the coupon would be greater than $100

The answer is 9 weeks.

4 0
3 years ago
Asdfghjkllkjhgfdsaas
natali 33 [55]

Answer:

13

Step-by-step explanation:

(x + 3)^3/2 = 64

√(x + 3)^3 = 64

(x + 3)^3 = 64^2

(x + 3)^3 = (4^3)^2

(x + 3)^3 = (4^2)^3

Same exponent

So

x + 3 = 4^2

x + 3 = 16

x = 13

6 0
3 years ago
Read 2 more answers
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