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Law Incorporation [45]
3 years ago
12

a caterpillar stated at point(-2.5 -5.5) on a coordinate plane.She crawled in a straight line through the origin to point (45,y)

What is y-axis of this?
Mathematics
1 answer:
iren [92.7K]3 years ago
3 0

Answer:

99

Step-by-step explanation:

Since the caterpillar crawled through the origin, her movement can be described by a straight line equation modeled with the points (-2.5; -5.5) and (0; 0).

The slope of a linear equation is given by:

m=\frac{y-y_0}{x-x_0}\\m=\frac{-5.5-0}{-2.5-0}\\m=2.2

For x = 45, the value of y is:

y= 2.2x\\y= 2.2*45\\y=99

The value of the y-axis is 99.

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The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3<br> are…
Leokris [45]

Answer:

\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3

For finding the x intercept , <u>equate the given function with 0, we have ;</u>

\sf \implies 2x ( x - 5 )^2(x+4)^3= 0

Equate each factor with 0 ,

\sf \implies 2x = 0

Divide both sides by 2 ,

\sf \implies\bf x = 0

Again ,

\sf \implies ( x - 5)^2=0

Taking squareroot on both sides,

\sf \implies x - 5 = 0

Add 5 to both sides,

\sf \implies \bf x = 5

Similarly ,

\sf \implies \bf x = -4

<u>Hence</u><u> the</u><u> </u><u>x </u><u>Intercepts</u><u> </u><u>are </u><u>-</u><u>4</u><u> </u><u>,</u><u> </u><u>0</u><u> </u><u>and </u><u>5</u><u> </u><u>.</u>

{ See attachment also for graph } .

3 0
3 years ago
Kristen has been earning $150 per week by babysitting. She has been working hard to save 20% of each week's earnings. If she con
anyanavicka [17]

Answer:

it will take her 6 weeks

Step-by-step explanation:

150*.2=30

180/30=6

5 0
3 years ago
a hat contains 2 red apples and 3 green apples. a bucket contains 7 red apples and 3 green apples. a container is selected at ra
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15

Step-by-step explanation:

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Determine the value
neonofarm [45]
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Help?pleaseeee?someone?anyone?
slamgirl [31]

Answer:

the answer is 96

Step-by-step explanation:

(-10)^{2}- 9(\frac{1}{3} )^{2}-3

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96

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3 years ago
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