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3 years ago

7

Calculate the x-intercepts of the quadratic y=9xsquared+3x

1 answer:

Dovator [93]3 years ago

3 0

To find the x-intercept, put y=0

9x^2 +3x=0
3x(3x+1)=0

x=0 or x=-1/3

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It takes Hank 40 minutes (2/3 hours) to mow a lawn. Penny can mow the same size lawn in 30 minutes (1/2 hour). Hank and Penny fo

andrew-mc [135]

Answer:

2 hours

Step-by-step explanation:

Given: It takes Hank $40$ minutes $\frac{2}{3}$ hours to mow a lawn. Penny can mow the same size lawn in $30$ minutes $\frac{1}{2}$ hours. Hank and Penny form a small lawn care company and have contracts for $7$ lawns of the same size previously mentioned.

To Find: How long should it take both of them working together to mow the $7$ lawns.

Solution:

Time taken by Hank to mow the lawn $=\frac{2}{3}$ $\text{hour}$

Time taken by Penny to mow the lawn $=\frac{1}{2}$ $\text{hour}$

Total lawns to be mowed $=7$

Let time taken by Hank and Penny to mow one lawn $=\text{T}$

$\frac{1}{\text{time taken by Hank}}+\frac{1}{\text{time taken by Penny}}=\frac{1}{\text{Time taken by both to mow one lawn}}$

$\frac{1}{\frac{2}{3}}+\frac{1}{\frac{1}{2}}=\frac{1}{\text{T}}$

$\frac{7}{2}=\frac{1}{\text{T}}$

$\text{T}=\frac{2}{7}$

time taken to mow $7$ lawns $=7\times\text{time taken to mow one lawn}$

$=7\times\frac{2}{7}$

$=2$ $\text{hour}$

Hence it will take $2$ $\text{hours}$ by Hank and Penny to mow $7$ lawns

5 0

3 years ago

You are standing 125 ft away from the Eiffel Tower. The Eiffel Tower is 125 ft tall. Calculate the angle from you to the top of

blagie [28]

I think it would be a 45 degree angle

4 0

3 years ago

What is 3/8x + 15/2=18

mart [117]

Let's solve for x --

Isn't it always a little easier to solve a math problem with starting by rewriting the equation?

3/8x + 15/2 = 8

Step 1) Subtract 15/2 from both sides

3/8x + 15/2 - 15/2 = 8 - 15/2

3/8x = 1/2

Step 2) Multiply both sides by 8/3

(8/3) × (3/8x) = (8/3) × (1/2)

x = 4/3

FINAL ANSWER -

x = 4/3

↑ ↑ ↑ Hope this helps! :D

3 0

4 years ago

QUIZ: Compare Dot Plots What is the median value of the data set shown on the line plot? Enter your answer in the box.

loris [4]

Answer:

it is the very middle 6

hqnwnakakaka

7 0

3 years ago

Which of the following expressions match the translation “nineteen more than the product of 4 and a number”? 4n + 19 4(n + 19) 1

sukhopar [10]

Answer:

4n+19

Step-by-step explanation:

The product of 4 and a number=4n

nineteen more than=+19

therefore the equation is 4n+19

Hope this helps!

7 0

3 years ago

Read 2 more answers