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anyanavicka [17]
3 years ago
8

Which equation represents a line with a slope of and a y-intercept of 3?

Mathematics
1 answer:
STALIN [3.7K]3 years ago
8 0

Answer:

b

Step-by-step explanation:

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A flagpole is 20 feet tall. At 4 p.m. it casts a shadow that is 15 feet long. How far is it from the top of the flagpole to the
evablogger [386]

9514 1404 393

Answer:

  25 feet

Step-by-step explanation:

The hypotenuse of the right triangle with legs 15 feet and 20 feet can be found using the Pythagorean theorem:

  h^2 = 20^2 +15^2

  h^2 = 400 +225 = 625

  h = √625 = 25

The distance from the shadow tip to the flag pole tip is 25 feet.

3 0
3 years ago
Please hurry; Which function increases the fastest? A. y 5 14x B. y 5 23 · 17x C. y 5 120x D. y 5 2275x^x
Maurinko [17]

Answer: y = 14^x

Step-by-step explanation:

Here the options are:

a y = 14^x

b y = -3*(17)^x

c y = 120x

d y = -275x

to see which function increases the fastest (or which function is steeper) we need to look at the first derivations of each one of these, and see which one is larger for every value of x:

the derivations are:

a y = x*14^(x - 1)

b y = -x*3*(17)^(x  - 1)

c y = 120

d y = -275

So we can already discard options c and d, because have constant rate of change.

Then we keep options a and b.

Always when we have an exponential function, like a^x and b^x

The one with the larger base will be steeper.

So if a > b, then:

a^x is steeper than b^x

In this case, the function:

y = -3*(17)^x

has a larger base, but, this function is negative.

This means that as x increases, our function will decrease, then this function will not "increase the fastest" (because it does not increase)

Then the left option (a: y = 14^x)

Will be the correct one.

(this will happen after some value of x, because two of the options have constant derivatives, these may be steeper for smaller values of x, and as x increases, we will see that y = 14^x is the one that increases the fastest)

7 0
3 years ago
What is x?<br> 7(x – 5) = 9x – 3
Mkey [24]

Answer:

x = -16

Step-by-step explanation:

7(x-5) =9x-3 \\7x -35 = 9x - 3\\3- 35 = 9x - 7x\\-32 = 2x\\x = \frac{-32}{2}\\\huge \red{\boxed{x = -16}}

4 0
2 years ago
Read 2 more answers
Y
mina [271]

Answer:

y inversely proportional to 1/x

y=4, x=16

4=k/16

k=64

find y when x=8

y=64/8

y=8

3 0
2 years ago
11. What is the perimeter of the garden?
Ilya [14]

Answer:

19\frac{1}{4} or 18\frac{5}{4}

Step-by-step explanation:

First, add the whole numbers

3, 7, and 8

18

Add the fractions

\frac{1}{2}+\frac{3}{4}=\frac{5}{4}

IF YOU WANT SIMPLIFIED NUMBER DO THIS

\frac{5}{4}=1\frac{1}{4}

18+1\frac{1}{4}=19\frac{1}{4}

6 0
2 years ago
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