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3 years ago

The expression 15x + 10 is equivalent to ____. 5(3x + 5) 3(5x + 10) 5(3x + 2)

Mathematics

2 answers:

Shalnov [3]3 years ago

5 0

Answer:

The expression 15x + 10 is equivalent to 5(3x+2)

Step-by-step explanation:

Hello, I think I can help you with this

factorize a polynomial is to break it down into two or more polynomials called factors, so that, by multiplying them, you get the original polynomial

step one

The expression 15x + 10 must be factorized, the common term between 15 and 10 is 5,

$take\ each\ term\ and\ divide\ by\ the\ common\ factor\\\\15x+10= 5 ( \frac{15x}{5} +\frac{10}{5} )\\15x+10=5(3x+2)\\$

so , the answer is 5(3x+2)

Do not hesitate to ask me any questions you have,Have a fantastic day

Igoryamba3 years ago

3 0

Answer:

5(3X+2)

Step-by-step explanation:

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3 years ago

Read 2 more answers

Determine if the table shows a linear or an exponential function

____ [38]

Answer:

The table shows an exponential function

Step-by-step explanation:

Linear vs Exponential Functions

A linear function is written as:

$y=mx+b$

where m and b are constants.

If a table contains a linear function, then for each pair of ordered pairs (x1,y1) and (x2,y2), the value of m must be constant.

The slope can be calculated as:

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

An exponential function is written as:

$y=y_o.r^x$

Where r is the ratio and yo is a constant.

If a table contains an exponential function, for two ordered pairs (x1,y1) and (x2,y2), the value of r must be constant.

The ratio can be calculated as:

$\displaystyle r=\sqrt[x2-x1]{\frac{y2}{y1}}$

Calculate the slope for (0,4) and (1,2):

$\displaystyle m=\frac{2-4}{1-0}=-2$

Calculate the slope for (1,2) and (2,1):

$\displaystyle m=\frac{1-2}{2-1}=-1$

Since the slope is not the same, the function is not linear.

Now calculate the ratio for (0,4) and (1,2)

$\displaystyle r=\sqrt[1-0]{\frac{1}{2}}$

The radical of index 1 is simply equal to its argument:

$\displaystyle r=\frac{1}{2}$

Now calculate the ratio for (0,4) and (2,1)

$\displaystyle r=\sqrt[2-0]{\frac{1}{4}}$

$\displaystyle r=\sqrt{\frac{1}{4}}$

$\displaystyle r=\frac{1}{2}$

Testing other points we'll find the same ratio, thus the table is an exponential function

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3 years ago

Read 2 more answers

PLEASE HELP WITH EXPLANATION F(x) = 3 - x; g(x) = -2x find f(g(2))

ioda

Given,

$f(x) = 3 - x$

and

$g(x) = -2x$

Now,

$g(2) = - 2(2) = - 4$

$f(g(2)) = 3 - ( - 4) = 3 + 4 = 7$

8 0

2 years ago