Which number represents the mode?<br> 8,10,12,14,16,18,20

What is the equation in vertex form of the quadratic function with a vertex at (-1,-4) that goes through (1,8)?

notsponge [240]

Answer:

G

Step-by-step explanation:

vertex formula = a(x-h)^2 + k

vertex is (h, k) so (-1, -4) means

y = a(x+1)^2-4

passes through (1, 8) so when x = 1 and y = 8

8 = a(1+1)^2-4 = 4a - 4

4a = 4

a = 1

3 0

3 years ago

What percent of 130 is 182

soldier1979 [14.2K]

130/182*100= 71.42% would be your answer

3 0

4 years ago

Read 2 more answers

What is the image of the point (-5, 4) after a rotation of 270° counterclockwise

Illusion [34]

Answer:

(4, 5)

Step-by-step explanation:

this is the same as a 90° rotation clockwise.

with the coordinates of (-5, 4) we start in the top left quadrant (x values are negative, y values are positive).

and we end up in the top right quadrant (x and y values are positive).

the line from the origin to the point is perpendicular (90° angle) to the line of the origin to the original point, as we just rotated by 90° or 270°.

that means the rules for the slope of perpendicular lines apply :

x and y coordinate differences trade places, and the sign of their ratio is flipped.

luckily, because the origin is the reference point for both lines, the point coordinates are automatically the coordinate differences to (0, 0).

and because we need to get 2 positive coordinates, that means

(-5, 4) turns into (4, 5)

as the alternative (-4, -5) would be in the bottom left quadrant.

5 0

3 years ago

To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at Ford selects every 18th tru

Anastaziya [24]

Answer:

Systematic sampling.

Step-by-step explanation:

The systematic sampling is a type of random sampling in which a unit is selected from k units and after this every kth unit is selected until population is serially numbered from 1 to N arranged in a systematic way.

The statement shows that every 18th truck is selected until a sample of 60 trucks is selected. It shows that a systematic random sample is obtained with k=18 and thus, systematic sampling is used.

5 0

3 years ago

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Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are

Ymorist [56]

Answer:

In order for it to benefit his father to buy the pass Seth have to attend the movies for 11 times.

Step-by-step explanation:

Given:

Cost of movie pass = $40

Cost per matinees with pass = $1.00

Cost per matinees without pass = $3.50