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3 years ago

Simplify the expression.

Mathematics

1 answer:

Maksim231197 [3]3 years ago

6 0

Answer:

3. 15 + 3n

5. 11j + 4

6. 27p - 5 over 4

7. 8r - 17

8. -18.5s + 28.1

13. G = - 162

16. K = 7007 over 256

Step-by-step explanation:

Hope it helps

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For f(x) = 3x +1 and g(x) = x2 – 6, find (f- g)(x).

Fiesta28 [93]

Answer:

$\boxed{\sf (f-g)(x) = -{x}^{2} + 3x + 7}$

Given:

$\sf f(x) = 3x + 1 \\ \sf g(x) = {x}^{2} - 6$

To find:

$\sf (f - g)(x) = f(x) - g(x)$

Step-by-step explanation:

$\sf \implies(f - g)x = f(x) - g(x) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) - ( {x}^{2} - 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (3x + 1) + (- {x}^{2} + 6) \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3x + 1 - {x}^{2} + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = - {x}^{2} + 3x + 1 + 6 \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = -{x}^{2} + 3x + 7$

8 0

3 years ago

Find x, if 3x − 5(y + x ) ^2 = 16 and 4x + 2(y + x )^ 2 = 30

lana66690 [7]

Answer:

x = 7

Step-by-step explanation:

Start by solving for $(y+x)^2$ which is a common expression for both equations. Then in the first equation:

$3\,x5\,(y+x)^2=16\\3x-16=5\,(y+x)^2\\(y+x)^2=\frac{3\,x-16}{5}$

and in the second equation:

$4\,x+2\,(y+x)^2=30\\2\,(y+x)^2=30-4\,x\\(y+x)^2=15-2\,x$

Now we make the two $(y+x)^2$ expressions equal so we get:

$\frac{3\,x-16}{5} =15-2\,x\\3\,x-16=75-10\,x\\13\,x=75+16\\13\,x=91\\x=7$

8 0

3 years ago

Find the area of this parallelogram 13cm 15cm 20cm

Georgia [21]

Answer:

260cm²

Step-by-step explanation:

area of this parallelogram 20×13=260cm²

4 0

2 years ago

the diagram shows a door that has a window in it the front faces the door and window are similar rectangles that have the dimens

Vaselesa [24]

Answer:

The correct answer is B. 150 cm.

Correct statement, question and diagram:

The diagram shows a door that has a window in it. The front faces of the door and window are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

60/84 = h/210

84 * h = 210 * 60

84h = 12,600

h = 12,600/

h = 150 cm

The correct answer is B. 150 cm.

3 0

3 years ago

Read 2 more answers

A regression was run to determine if there is a relationship between hours of TV watched per day (x) and number of situps a pers

Arturiano [62]

Answer:

A person who watches 8.5 hours of TV can do 30.4 sit ups.

Step-by-step explanation:

The regression equation is used to predict or estimate the value of the response (or dependent) variables using the information about the explanatory (or predictor) variables.

The general form of a regression equation is:

$y=ax+b$

Here,

y = dependent variable

x = independent variable

a = intercept

b = slope

The regression equation representing the relationship between hours of TV watched per day (x) and number of sit ups a person can do (y) is:

$y=-0.74x+36.359$

Compute the number of sit ups a person who watches 8.5 hours of TV can do as follows:

$y=-0.74x+36.359$

$=(-0.74\times 8.5)+36.359\\=-6.29+36.659\\=30.369\\\approx 30.4$

Thus, a person who watches 8.5 hours of TV can do 30.4 sit ups.

6 0

3 years ago