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Verdich [7]
3 years ago
9

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

Mathematics
2 answers:
DedPeter [7]3 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]3 years ago
6 0

Answer:

7, 1 then 7, -1

Step-by-step explanation:

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35. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
Montano1993 [528]

Answer:

The linear equation for the line which passes through the points given as (-2,8) and $(4,6), is written in the point-slope form as $y=-\frac{1}{3} x-\frac{26}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-2,8) and (4,6).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-2,8) and (4,6). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute $6 \& 8$ for $y_{2}$ and $y_{1}$ respectively, and 4&-2 for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows, $m=\frac{6-8}{4-(-2)}$

$$\begin{aligned}&m=\frac{-2}{6} \\&m=-\frac{1}{3}\end{aligned}$$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-2 for $x_{1}$, and 8 for $y_{1}$ in the above equation and simplify using the distributive property as follows, y-8=-\frac{1}{3}(x-(-2))$\\ $y-8=-\frac{1}{3}(x+2)$\\ $y-8=-\frac{1}{3} x-\frac{2}{3}$

Step 3 of 3

Simplify the equation further.

Add 8 on each side of the equation $y-8=-\frac{1}{3} x-\frac{2}{3}$, and simplify as follows, $y-8+8=-\frac{1}{3} x-\frac{2}{3}+8$

$y=-\frac{1}{3} x-\frac{2+24}{3}$$\\ $$y=-\frac{1}{3} x-\frac{26}{3}$$

This is the required linear equation.

6 0
2 years ago
A quantity with an initial value of 9100 grows continuously at a rate of 0.85% per hour. What is the value of the quantity after
ycow [4]

Answer:

10,962,54

Step-by-step explanation:

we know that

The equation of a exponential growth is equal to

y=a(1+r)^x

where

a is the initial value  

r is the rate of growth

x is the time in hours

y is the value of the quantity

we have

a=9,100\\r=0.85\%=0.85/100=0.0085

substitute

y=9,100(1+0.0085)^x

y=9,100(1..0085)^x

For x=22 hours

substitute

y=9,100(1..0085)^{22} =10,962,54

4 0
3 years ago
10. Choose all fractions equivalent to 36/40 <br><br><br><br> A) 3/4 B) 9/10 C) 9/40 D) 18/20
Talja [164]

Answer:

B, D

Step-by-step explanation:

36/40 simplified is 9/10

9/10 x 2  = 18/20

I hope this helps!

5 0
3 years ago
Read 2 more answers
1/2 x 2/4 x 3/6 x 4/8 x 5/10 x 6/12 simplified
Talja [164]

Answer: 3

Step-by-step explanation: Because, 1/2=2/4=3/6=4/8=5/10=6/12 are all the same. You can test is out by simply factoring out the biggest factor on both sides. For example, 2/4 can be simplified to 1/2, because 2/4=(2/2)/(4/2) you can divide both sides by two. Hope this helps, <3!

8 0
3 years ago
What is the value of f(2)?
Lunna [17]

Question:

What is the equation?

6 0
3 years ago
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