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aleksandr82 [10.1K]
3 years ago
6

8

Mathematics
1 answer:
blagie [28]3 years ago
3 0

Answer:

The new function is g(x) = x² +1

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the function f(x) = x²

From graph ,

The parabola  y = x² is shifting to up with '1' units

                    y = x² +1

The new function is g(x) = x² +1

<u><em>Verification:-</em></u>

    y = x²+1

Put x=0 ⇒ y =1

The point (0,1) lies on the parabola y = x²+1

similarly put x =1 and y = 2

The Point (1,2) lies on the Parabola y = x²+1

∴ The new graph  y = x²+1

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Answer: 9


Step-by-step explanation


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A new car is purchased for $17,000 and over time its value depreciates by one half every 3 years. What is the value of the car 1
Jet001 [13]

Answer:

The answer is "$238".

Step-by-step explanation:

Current worth= \$ 17,000

depreciates by \frac{1}{2} in 3 years.

time=  19 years

depreciates rate=?

Using formula:

\to \text{Worth=  Current worth}(1- \frac{\text{depreciates rate}}{100})^{time}

\to A_t=A_0(1-\frac{r}{100})^t

calculates depreciate value in 3 year = \frac{1}{2} \times 17,000

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so,

A_t=8,500\\\\A_0=17,000\\\\t=3\ years

\to A_t=A_0(1-\frac{r}{100})^t\\\\\to 8,500= 17,000(1-\frac{r}{100})^3\\\\\to \frac{8,500}{17,000}= (1-\frac{r}{100})^3\\\\\to \frac{1}{2}= (1-\frac{r}{100})^3\\\\\to (\frac{1}{2})^{\frac{1}{3}}= (1-\frac{r}{100})\\\\\to 0.793700526 = (1-\frac{r}{100})\\\\\to \frac{r}{100} = (1-0.793700526)\\\\\to \frac{r}{100} = (1-0.8)\\\\\to r= 0.2 \times 100 \\\\\to r= 20 \%

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4 0
3 years ago
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If you answer all ill give brainliest.
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Answer:

1.  1 < 8

2. 7 > -17

3. n-6 (N could be 7)

4. -4 x 3= -12

5. -5/5= -1 since the sign means greater than or equal to, that could be right.)

6. 3>Z (1) - 1

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A square with a side length of 3 units is dilated with a scale factor of 2.
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<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷Simply multiply by 2:

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