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3 years ago

How many terms are in the expression below? 5x +3 - 3x – 1 + 2x + 5

Mathematics

1 answer:

marin [14]3 years ago

5 0

Answer:

Step-by-step explanation:

5x + 3 - 3x - 1 + 2x + 5

you can combine the like terms

5x - 3x + 2x = 4x

3 - 1 + 5 = 7

4x + 7

there are 2 terms in the expression

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What is the rate of change for a linear function that passes through the points (8, -10) and (-6, 14)

Anna71 [15]

Answer: $m=-1.714$

Step-by-step explanation:

By definition, the slope of the line is described as "Rate of change".

You need to use the following formula to calcualte the slope of the line;

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

In this case you know that the line passes through these two points: (8, -10) and (-6, 14).

Then, you can say that:

$y_2=-10\\y_1=14\\\\x_2=8\\x_1=-6$

Knowing these values, you can substitute them into the formula for calculate the slope of a line:

$m=\frac{-10-14}{8-(-6)}$

Finally, you must evaluate in order to find the slope of this line. You get that this is:

$m=\frac{-24}{8+6}\\\\m=\frac{-24}{14}\\\\m=-\frac{12}{7}\\\\m=-1.714$

8 0

3 years ago

Find the value of k if the distance between (2,k) and (6,7) is 4√2 unit

andreyandreev [35.5K]

Answer:

k = 3

Step-by-step explanation:

We have the distance formula: $d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}$ . We can plug in $4\sqrt{2}$ = d, x2 = 6, x1=2, y2 = 7, y1 = k.

Then, we can solve the question using some algebra to find that k = 3.

Edit: Here is a step by step:

$4\sqrt{2} = \sqrt{(6-2)^2 + (7-k)^2}\\$

$(4\sqrt{2})^2 = (6-2)^2 + (7-k)^2$

$32 = (4)^2 + (7-k)^2$

$32 = 16 + (7-k)^2$

$32 - 16 = (7-k)^2$

$16 = (7-k)^2$

$\sqrt{16} = (7-k)$

$4 = 7-k$

$k = 3$

4 0

3 years ago

Express 150 as a product of PRIME FACTORS.<br>Answer:

Flauer [41]

Answer:

Step-by-step explanation:

$150=2X3X5X5\\ \\ 150=2(3)5^2$

6 0

2 years ago

3. Given the following functions f(x) and g(x), solve f[g(7)] and select the correct answer below:

antoniya [11.8K]

Hello,
f(g(x))=f(2x+2)=4(2x+2)+21=8x+29
f(g(7))=8*7+29=56+29=85

8 0

3 years ago

Read 2 more answers

Please help me Please!!!!!!!!!! :((((

lesya [120]

6x+24

Hope this helps

3 0

3 years ago