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3 years ago

Which statement is NOT true?

1 answer:

3 0

If x ^ 2 = 100, then x = 10.

For this case what you should know is the correct clearance of the following equation:
$x ^ 2 = 100
$
We then have two possible solutions:
$x=+/- \sqrt{100}$
Rewriting we have:
$x=+/-10$
Therefore, the solutions are:
$x1=10

x2=-10$
Answer:
A statement that is NOT true is:
If x^2 = 100, then x = 10.

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Which algebraic representation shows a reduction?

Grace [21]

Answer:

D. (x, y) → $(\frac{1}{2}x,\frac{1}{2}y)$

Step-by-step explanation:

A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.

When the dilation produces a smaller image is called a reduction.

Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.

Out of the options, the only one that has a scale factor less than one is:

(x, y) → $(\frac{1}{2}x,\frac{1}{2}y)$

Since the scale factor is 1/2 which is less than 1.

All other options are not reductions.

5 0

4 years ago

Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon

Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

$\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}$

First we find mean of the given data ,

$\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44$

Now,

${\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2$

$=1+1+1+1=4$

Now, standard deviation of the above results will be :-

$\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82$

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0

4 years ago

Help please thank you

Sergeeva-Olga [200]

Answer:

0.25

Step-by-step explanation:

4 0

3 years ago

Use the rules of exponents to evaluate or simplify. Write without negative exponents 8-squr3 is the conjugate of 8+squar 3

NISA [10]

8 - sqrt(3) is indeed the conjugate of 8 + sqrt(3).

What are you asking here? You are to "evaluate or simplify" what?

5 0

4 years ago

Explain whether the graph represents a function.

aleksley [76]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

8 0

3 years ago