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padilas [110]
3 years ago
10

HELP PLEASE I WILL GIVE BRAINIEST Question 2 State the domain and range of the function.

Mathematics
1 answer:
larisa [96]3 years ago
5 0
The domain of a function f(x) is a set of all values for which the function is defined. The range of is a set of all values that f takes.
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Please help me with this one
mylen [45]

9514 1404 393

Answer:

  1. y < -2x +3
  2. y > 1/2x -2

Step-by-step explanation:

To find the equation of each boundary line, look for the y-intercept. Then find the rise and run to the next grid intersection to the right that is crossed by that line. The equation for the line is ...

  y = mx + b . . . . . . m = rise/run = slope; b = y-intercept.

__

The lines are both dashed, so the inequalities will not include the "or equal to" case. For line (1), the shading is below the line, so the appropriate inequality symbol is <. For line (2), the shading is above the line, so the appropriate inequality symbol is >.

__

<u>Line 1</u>

y-intercept = +3. m = -2/1 = -2

  y < -2x +3

<u>Line 2</u>

y-intercept = -2. m = 1/2

  y > 1/2x -2

3 0
4 years ago
Questions are in the screenshot.
White raven [17]

For question 4, x = 18 units,

For question 5, x = 8.333 units.

Step-by-step explanation:

Step 1:

Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.

We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.

Step 2:

For question 4, the first rectangle has a length of 9 units while the width is 3 units.

For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.

The ratio of the first rectangle to the second is;

\frac{3}{6} : \frac{9}{x} , x = (9)(\frac{6}{3} ) = 18. So x = 18 units.

Step 3:

The shapes in question 5 are made of a square and a triangle.

For the first shape, the side length is 6 units while the side of the triangle is 10 units.

For the second shape, the side length is 5 units while the side of the triangle is x units.

The ratio of the first shape to the second is;

\frac{6}{5} : \frac{10}{x} , x = (10)(\frac{5}{6} ) = 8.333. So x = 8.333 units.

6 0
4 years ago
The ratio of John's money to Jimmy's money is 5:8. Jimmy spent 1/4
erma4kov [3.2K]

Answer:

a. $3600

b. 6:5

Step-by-step explanation:

Put the question into an equation:

8x - 1/4 x 8x = 5x + 450

(simplify before solving) 6x = 5x + 450

(solve) 6x-5x = 450

x = 450

This means that Jimmy had 8 x 450 $ to start with = 3600

you can check this by subtracting a quarter of 3600 from 3600 and also multiplying 450 by 5 and then obtaining their difference. You get 450!

Now ratio of new amounts:

Jimmy now has: $2700

John still has: $2250

so ratio is 2700:2250

simplify to 6:5

Hope this helps

Please mark brainiest

3 0
4 years ago
A DVD player costs a store $185 to purchase from the manufacturer. They mark the price of the DVD player up by 20% for profit. H
stellarik [79]

Answer:

$222

Step-by-step explanation:

$185 x 1.2 = $222

5 0
4 years ago
Read 2 more answers
The box at the right is a cube with edges that measure 2 feet. The sides of the triangle inside the cube are a diagonal of a fac
zvonat [6]

Answer:

Area = 2 \sqrt{2}

Step-by-step explanation:

Given

Length_1 = 2

Length_2 = \sqrt{2^3}

Required

Determine the area of the triangle

The given lengths represent the height and base length of the triangle.

So, the area is;

Area = \frac{1}{2} * Length_1 * Length_2

Substitute values for Length1 and Length2

Area = \frac{1}{2} * 2 * \sqrt{2^3}

Area = \frac{2}{2} * \sqrt{2^3}

Area = 1* \sqrt{2^3}

Area = \sqrt{2^3}

Express 2^3 as 2 * 2 * 2

Area = \sqrt{2*2*2}

Area = \sqrt{4*2}

Split

Area = \sqrt{4} *\sqrt{2}

Area = 2 *\sqrt{2}

Area = 2 \sqrt{2}

6 0
3 years ago
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