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bija089 [108]
3 years ago
7

write an equation in slope intercept form of the line that has the same slope as y=3x-2 and passes through the point (7,25)

Mathematics
1 answer:
Anastaziya [24]3 years ago
8 0

As it has the same slope as y=3x-2 , thus its sl[pe is 3 as y=mx+c gives m=3.

Now as y=mx+c is satisfied by (7,25) , we have

25=3(7)+c

25=21+c

C=25-21=4

Thus the equation is given by

y=3x+4

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Let f(x) = log3(x) and g(x) = 3x.
QveST [7]

Answer with Step-by-step explanation:

We are given that

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a.We have to find g(f(x))

g(f(x))=g(log_3(x))

g(f(x))=3log_3(x)

b.We can see that

f(x) is logarithm function and g(x) is linear function.

But , the composition function gof(x) is also logarithmic function.

The composition function gof(x) is 3 times the function f(x).

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Three people invest in a treasure dive, each investing the amount listed below. The dive results in 40 gold coins. Apportion tho
garri49 [273]

Answer:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

Step-by-step explanation:

We know that the dive results in 40 gold coins.

We know that:

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So they have $ 14900 in total.

Now we will divide that money by 40.

x=\frac{14900}{40}\\\\x=372.5

So 1 gold coin costs $ 372.5. Now we will calculate how much they can get for the money they have.

A=\frac{7600}{372.5}=20.4\\\\B=\frac{5900}{372.5}=15.8\\\\C=\frac{1400}{372.5}=3.75\\

We conclude that:

Alice: 20 coins, Ben: 16 coins, and Carlos: 4 coins.

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3 years ago
What is the relationship between the value of the digit 3 in 4,231 and in the value of the digit 3 in the number 3,421?
Marina CMI [18]

Answer:

A.

In 4231, the value of the digit 3 is 110 less than the value of the digit 3 in 3421.

Step-by-step explanation:

We can see that the value of 3 In 4231 is in ten while the value of 3 in 3421 is in thousands.

So to get the actual division factor, let's take 3300 and divide it by 30,

3300/30 = 110

So it's clear already, that the value of 3 in 4231 is 110 times less to the value in 3421

4 0
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