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Verdich [7]
2 years ago
9

Move the slider on the graph on the right to graph each function:

Mathematics
2 answers:
DedPeter [7]2 years ago
6 0

Answer:

The domain is x\geq 7

The range is y\geq 1

Step-by-step explanation:

we have

y=\sqrt{x-7} +1

<em>Find the domain</em>

Remember that

The domain of a function is the set of all possible values of x

we know that the radicand of the function must be greater than or equal to zero

so

x-7\geq 0

solve for x

x\geq 7

therefore

The domain is x\geq 7

<em>Find the range</em>

Remember that

The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.

For x=7

The value of y is equal to

y=\sqrt{7-7} +1=1

so

The solution for y is the interval [1,∞)

therefore

The range is y\geq 1

Oksanka [162]2 years ago
6 0

Answer:

7, 1 then 7, -1

Step-by-step explanation:

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The shortest side of an isosceles triangle is 2x - 3 inches long. the longer sides are 6 inches longer than the shortest side. t
Zolol [24]
Side 1 = short side = 2x-3
side 2 = longer side = (short side) + 6 = (2x-3)+6 = 2x+3
side 3 = side 2 = 2x+3

Side 2 and side 3 are the longer two congruent sides

Add up the three sides and set them equal to the given perimeter of 33. Solve for x

(side1)+(side2)+(side3) = perimeter
(2x-3)+(2x+3)+(2x+3) = 33
(2x+2x+2x) + (-3+3+3) = 33
6x+3 = 33
6x+3-3 = 33-3
6x = 30
6x/6 = 30/6
x = 5

If x = 5, then the longer sides are 2*x+3 = 2*5+3 = 10+3 = 13 inches each
(note: the short side is 2*x-3=2*5-3=10-3 = 7 inches)

Answer: 13 inches
8 0
3 years ago
Solve for x -9&lt;4x+3&lt;27 enter your answer as one inequality in the box
ludmilkaskok [199]

If a< c< b then a<c and c<b

Separate the equation into 2 separate ones and solve them:

X-9 < 4x +3

Subtract 3 from both sides:

X-12 < 4x

Subtract x from both sides:

-12< 3x

Divide both sides by 3:

X > -4

4x+3 < 27

Subtract 3 from both sides

4x < 24

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Combine to get one inequality:

-4<x<6

6 0
3 years ago
I’m confused?????????
QveST [7]

Answer:

The equation of the line is y - 3 = 2.5(x - 2) ⇒ D

Step-by-step explanation:

The rule of the slope of a line is m = \frac{y2-y1}{x2-x1} , where

  • (x1, y1) and (x2, y2) are two points on the line

The point-slope form of a line is y - y1 = m(x - x1), where

  • (x1, y1) is a point on the line

From the given figure

∵ The line passes through points (2, 3) and (0, -2)

∴ x1 = 2 and y1 = 3

∴ x2 = 0 and y2 = -2

→ Substitute them in the rule of the slope to find it

∵ m = \frac{-2-3}{0-2}=\frac{-5}{-2}=2.5

∴ m = 2.5

→ Substitute the values of m, x1, y1 in the form of the equation above

∵ m = 2.5, x1 = 2, y1 = 3

∵ y - 3 = 2.5(x - 2)

∴ The equation of the line is y - 3 = 2.5(x - 2)

6 0
2 years ago
A coral reef grows 0.19m every week. How much does it grow in 6 weeks? Write your answer in millimeters.
kondaur [170]

0.19 \times 6 = 1.14
The answer is 1.14 millimeters
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3 years ago
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Answer:

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Step-by-step explanation:

8 0
2 years ago
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