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Dimas [21]
3 years ago
14

Reposted

Mathematics
2 answers:
mihalych1998 [28]3 years ago
8 0
The equation, y=4x+15 represents the relationship shown in the graph.
Finger [1]3 years ago
4 0

Answer:

4. -4x+y=15

Step-by-step explanation:

We have been given a graph of a linear function and we are asked to find the correct equation representing the relationship shown in the graph.

Since we know that the standard form of an equation is in form: Ax+By=C, where A, B and C are integers.

First of all we will find the slope of our line and write equation of line in slope-intercept form. Then we will change it into standard form.

m=\frac{y_2-y_1}{x_2-x_1}

m=\frac{23-15}{2-0}

m=\frac{8}{2}=4

Slope of our line is 4. We can see that y-intercept (b) is 15. Now let us write equation of our line in slope-intercept form.

y=mx+b

y=4x+15

Now we will change our given equation into standard form by subtracting 4x from both sides of our equation.

-4x+y=4x+15-4x

-4x+y=15    

Therefore, the equation -4x+y=15 represents the relationship shown in the graph in standard form and 4th option is the correct choice.



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Todd earned some money doing chores. He spent one-fourth of his money see a movie. Then he spent $6.00 on popcorn and drinks. Wh
Vsevolod [243]

Answer: Todd earned $40 mowing the neighbor's lawn.

Step-by-step explanation:

Let x represent the amount of money that Todd earned, mowing his neighbor's lawn.

He spent one-fourth of his money see a movie. It means that the amount spent in seeing a movie is x/4

Then he spent $6.00 on popcorn and drinks. It means that the total amount spent is

x/4 + 6

The amount left would be

x - (x/4 + 6) = x - x/4 - 6

When he went home, he had $24.00 left. It means that

x - x/4 - 6 = 24

x - x/4 = 24 + 6

x - x/4 = 30

Cross multiplying by 4, it becomes

4x - x = 120

3x = 120

x = 120/3

x = $40

7 0
3 years ago
help an ogre out- A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is th
trapecia [35]

Answer: 3.7 in.

Step-by-step explanation:

Given,   A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in.

To find: The maximum radius of the basketball that the designer can create.

For this, Surface area of basketball = area of fabric

Formula: Surface area of sphere = 4\pi r^2, where r is the radius.

Then, 4\pi r^2=171.9

r^2=\dfrac{171.9}{4\pi}=\dfrac{171.9}{4\times3.14}\\\\\Rightarrow\ r=13.6863057325\\\\\Rightarrow\ r=\sqrt{13.6863057325}=3.69950074098\approx3.7

Hence, the maximum radius of the basketball that the designer can create is 3.7 in.  

4 0
3 years ago
Read 2 more answers
Find the value of x, if f(x)=3x-15 when f(x)=30​
musickatia [10]

Answer:

f(30)= 75

Step-by-step explanation:

3(30)-15

90-15

75

8 0
2 years ago
Please I need help PLEASE​
frutty [35]

Answer:

15/2.5  18/h

Step-by-step explanation:

5 0
3 years ago
Max travel 2 miles and Jason travel 20 miles.together they travel
elena55 [62]
All together max and jason travel a total of 22 miles
7 0
3 years ago
Read 2 more answers
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