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3 years ago

There is a line that includes the point (0, 4) and has a slope 1/7of

1 answer:

8 0

Y=1/7x + 4
In the equation y=mx+b, m=slope and b=y-intercept. (0,4) is a y-intercept because its x coordinate is 0. Plug in the points.

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Given the table of values below, which of the following ordered pairs are found on the graph of the inverse function? A. (-2, -1

Ainat [17]

Given:

The of values of a function.

To find:

The ordered pairs that are found on the graph of the inverse function.

Solution:

If a function is defined as

$f(x)=\{(x,y):x\in R,y\in R\}$

Then its inverse function is defined as

$f^{-1}(x)=\{(y,x):x\in R,y\in R\}$

From the given table it is clear that, the ordered pairs of the function f(x) are :

$\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}$

So, ordered pairs of the inverse function are :

$\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}$

Therefore, the correct option is B.

6 0

3 years ago

Find the equation for the linear function that passes through the points (−2,−5) and (4,4). State your equation with whole numbe

UNO [17]

Answer:

$y=\frac{3}{2} x-2$

Step-by-step explanation:

To find your slope using two points, use the slope formula.

$\frac{y2-y1}{x2-x1}$

Your y1 term is -5, your y2 term is 4.

Your x1 term is -2, your x2 term is 4.

$\frac{4-(-5)}{4-(-2)} \\\\\frac{9}{6} \\\\\frac{3}{2}$

Now that we have your slope, you can use the slope and one of your points in point-slope form to find your y-intercept.

$y-y1=m(x-x1)\\y-4=\frac{3}{2} (x-4)\\y-4=\frac{3}{2} x-6\\y=\frac{3}{2} x-2$

4 0

3 years ago

You flip a coin and use a random numer generator to generate a number 1 to 8. What is the probability that the coin shows tails

larisa [96]

probability of getting a tail , PA = 1/2

probability of gettin a number 2 , PB = 1/8

now ,

the probability to get tail and 2 = PA x PB = 1/2 x 1/8 = <u>1/16</u>.

hence it's the answer.

By : Modern Einstein

7 0

3 years ago

22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the meas

Andreyy89

Given: < WXZ = 90 degrees ( Right angle is an angle of 90 degree measure).

m< WXV = 11 more than 3 times m< WXY = (3 * <WXY + 11)

m< YXV = 139 degree.

To find : m<YXZ = ?

Solution : m< WXZ is equal to 90 degrees and is also the sum of angles m<WXY and m<YXZ i.e.

m< WXZ = 90 degrees = m<WXY + m<YXZ -----(1)

m< WXV = (3 * <WXY + 11) -----(2)

m <YXV is equal to 139 degrees and also equal to the sum of angles m<WXY and m<WXV i.e.

m <YXV = 139 degree = m<WXY + m<WXV -----(3)

Substituting m< WXV = (3 * <WXY + 11) from equation (2) in equation (3)

139 degree = m<WXY + m<WXV

=> 139 = m<WXY + 3 * m<WXY + 11 (Subtracting 11 from both sides)

=> 139 -11 = m<WXY + 3 * m<WXY + 11 -11

=> 128 = 4<WXY (Adding m<WXY + 3 * m<WXY)

=> 32 = < WXY (Dividing both sides by 4)

Substituting < WXY = 32 from above in equation (1)

90 degrees = m<WXY + m<YXZ

90 = 32 + m<YXZ (Subtracting 32 from both sides)

90-32 = 32 + m<YXZ -32

58 = m<YXZ.

Therefore, <YXZ =58 degrees.

5 0

3 years ago

your class is taking a field trip. you can travel in school district buses and chartered buses. a school bus holds 50 people and

Zinaida [17]

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5 0

3 years ago