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3 years ago

Through: (1, 3), perp. to y = x + 5

Mathematics

1 answer:

MAXImum [283]3 years ago

8 0

Answer:

y = 3x + 2

Step-by-step explanation:

Convert the equation to slope intercept form to get y = –1/3x + 2. The old slope is –1/3 and the new slope is 3. Perpendicular slopes must be opposite reciprocals of each other: m1 * m2 = –1

With the new slope, use the slope intercept form and the point to calculate the intercept: y = mx + b or 5 = 3(1) + b, so b = 2

So y = 3x + 2

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A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in p

Romashka [77]

Answer: -1.5

Step-by-step explanation:

When population standard deviation is known, then the formula to find the z-test statistic for population mean is given by :-

$z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

, where n= Sample size.

$\mu$ = Population mean

$\overline{x}$ = Sample mean

$\sigma$ = Population standard deviation.

As per given , we have $\mu=120$ (average infants contracted typhoid each month)

$\sigma=40$

n= 4 (No. of months)

$\overline{x}=90$

Then , the value of the appropriate test statistic will be :

$z=\dfrac{90-120}{\dfrac{40}{\sqrt{4}}}$

$z=\dfrac{-30}{\dfrac{40}{2}}$

$z=\dfrac{-30}{20}$

$z=-1.5$

Hence, the value of the test statistic = -1.5

8 0

3 years ago

Factor –7x3 + 21x2 + 3x – 9 by grouping. What is the resulting expression?

sergeinik [125]

Take the first 2 and take out -7x2. bringing it to (-7x2)(x-3)+(3x-9)
then take out 3 on the right side.
-7x^2 (x-3)+3 (x-3)
factors to (3-7x2)(x-3)

4 0

3 years ago

Read 2 more answers

Given the parent function f(x) = 2^x, which graph shows f(x) + 1?

mixer [17]

Answer: First Option

a) exponential function going through point (0, 2) and ending up on the right

Step-by-step explanation:

Look at the attached image, the red line represents a function of the form:

$f(x) = 2^x$

Note that this function cuts to the axis and at the point (0, 1)

Also when x tends to ∞ f(x) tends to ∞ and when f(x) tends to -∞ then f(x) tends to zero.

If we perform the transformation $y = f(x) +1$ then the graph of y is equal to the graph of f(x) displaced 1 unit up. Then the new cutting point with the axis y will be: (0, 2) as shown in the attached image (blue line)