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3 years ago

Emily studies 40 minutes after lunch for a science exam. She studies z more minutes that evening.

Mathematics

1 answer:

vladimir2022 [97]3 years ago

4 0

Answer:

y = 40 + z

Step-by-step explanation:

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Write the equation in slope-intercept form of the line passing through (2,7) and (-5,2).

sasho [114]

Hello!

Explanation:

Slope-intercept form: → $y=mx+b$

m: represents the slope and is constant.

b: represents the y-intercept.

Rise/run.

$m=\frac{rise}{run}$

$x^1,y^1=(2,7)$

$x^2,y^2=(-5,2)$

$\frac{2-7=-5}{(-5)-2=-7}= \frac{-5}{-7}$

$\frac{-5}{-7}=0.714$

Y-intercept is -7

But the slope is -5.

Answer: → 0.714

Hope this helps!

3 0

4 years ago

Read 2 more answers

You have two exponential functions. One function has the formula g(x) = 3(2 x ). The other function has the formula h(x) = 2 x+1

Alika [10]

The answer:

the main formula which should be used to reply this is:

g(x) - h(x) = (g-h) (x)

if the question does mean g(x) = 3(2 ^ x )

k(x)= (g – h)(x) = 3(2 ^x ) - 2 ^(x+1)

and we know that because of a^x+p = a^*a^p

=3(2 ^x ) - 2 ^(x)2^1=(2 ^x )(3 - 2^1)

=(2 ^x )(3 - 2^1)= 2 ^x

the answer is k(x) = 2^x

4 0

4 years ago

Read 2 more answers

I need help asaap!!!!!!

Gala2k [10]

Answer:

I believe the answer is c

5 0

3 years ago

Solve for y, then graph equation Y+2x=3

olga55 [171]

Answer:

y=-2x+3

Step-by-step explanation:

y+2x=3

y=3-2x

y=-2x+3

y=mx+b

where m=-2 and b=3.

So the slope for this function is -2 and the y-intercept is 3. You can easily graph this function.

7 0

3 years ago

A data set of 27 different numbers has a mean of 33 and a median of 33. A new data set is

Svetllana [295]

Answer:

Option D.

Step-by-step explanation:

Suppose that we have a set of N values:

{x₁, x₂, ..., xₙ}

The median is the value in the middle, and the mean is calculated as:

$M = \frac{(x_1 + x_2 + x_3 ... + x_n)}{N}$

Because here we have "the median" then we will assume that N is odd, and there is only one median, the value "k" (if N was even, the median would be the mean of the two middle values, that case is really similar to the case where N is odd, so solving only one of the cases is enough)

Now we add 7 to all the values greater than the median

We subtract 7 to all values smaller than the median.

Then the median remains unchanged (because we did not add nor subtract anything to the median).

The new mean will be:

$M' = \frac{(x_1 - 7) + (x_2 - 7) + ... + (x_{k}) + ... + (x_n + 7)}{N} = \frac{(x_1 + x_2 + ... + x_n) + (-7)*(n/2 - 0.5) + 7*(n/2 - 0.5)}{N} = \frac{(x_1 + x_2 + ... + x_n)}{N} = M$

So the mean does not change.

Because the mean is computed as the sum of the numbers divided by N, and the mean does not change, and N does not change, then the sum of the numbers does not change.

Finally, the standard deviation is computed as:

$SD = \sqrt{\frac{(x_1 - M)^2 + ... + (xn - M)^2}{N} }$

Because M does not change, if we add or subtract numbers to some of the values, the standard deviation will change (Because all the terms are squared, so the added and subtracted sevens don't cancel like in the previous cases)

Then the only value that does not have the same value in both the original and new data sets is the standard deviation.

6 0

3 years ago