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3 years ago

Plz help me answer these two questions instantly and plz explain thx

Mathematics

1 answer:

Inessa05 [86]3 years ago

6 0

5. A
6. No, 1/5(25x+15)-7x= -2x+3
-2(x-5)= -2x+10
-2x+3 is not equal to -2x+10

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

6 0

3 years ago

A train is traveling at a constant speed of 105 miles per hour. How many feet does it travel in 3 seconds? Remember that 1

ipn [44]

Answer:

in 3 seconds the train should travel 462 feet

Step-by-step explanation:

So, first, we convert the miles into feet.

105 x 5280 = 554400

This means the train travels 554400 feet per hour.

then, we convert the hour, into second.

Since an hour has 60 minutes, and a minute has 60 seconds, we simply multiply:

1(hour) x 60(minutes) x 60(seconds) = 3600

So the train moves 554400 feet every 3600 seconds.

To get how many feet it travels in one second, we divide this by 3600.

3600/3600 and 554400/3600

1 and 154.

For every second the train travels 154 feet.

Then we simply multiply them by 3.

3x1 and 3x154, which equals:

3 and 462.

So the train travels 462 feet every 3 seconds.

I tried to explain this as simply as I can.

I hope its all correct.

6 0

3 years ago

Please help! :))

denis23 [38]

Answer:

Check below

Step-by-step explanation:

Hi,

We're dealing with linear functions. $f(x)=mx+b$

We have here the first function.

$g(x)=3x$

That's a linear function, with slope, and no linear coefficient since

But on the other hand, the functions below, they all describe parallel lines, since their slope has the same value. I've changed the letters to make it easier the comprehension.

Even though each one has the same slope value, they have different non zero linear coefficients, {-6,-18,6,18}. Unlike, the first one

$h(x)=3(9x-2) \rightarrow h(x)= 27x-6\\i(x)=9(3x-2)\rightarrow i(x)=27x-18\\j(x)=3(9x+2)\rightarrow j(x)=27x+6 \\k(x)=9(3x+2)\rightarrow k(x)=27x+18\\$