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2 years ago

How was the graph of f(x) = 3x shifted to form the

Mathematics

1 answer:

kati45 [8]2 years ago

3 0

It was shifted two units up the y axis. This is shown algebraically by adding constant… or in this case f(x)= (x)^1/3 +2

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Minimum point of the quadratic x^2+6x-2

WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

$x=-\dfrac{(6)}{2(1)}\\=-3$

Subsitute $-3$ for $x$ in given quadratic equation.

$y=(-3)^2+6(-3)-2\\=9-18-2\\=-11$

The minimum point is (-3,-11).

3 0

2 years ago

Team A and Team B play in a competition.

Anuta_ua [19.1K]

Team A: 15 points
Team B: 3 points

Team A has twelve more points than Team B:
A = B + 12
Team A has five times as many points as Team B:
A = B × 5
A = 5B

substitute "A" with "B + 12" to solve for B:
A = 5B
(B + 12) = 5B
B + 12 = 5B
12 = 5B - B
12 = 4B
3 = B
Team B has 3 points
now substitute "B" with 3 to solve for A:
A = 5B
A = 5(3)
A = 15
Team A has 15 points

Check your answer by inputting both values into either equation:
A = 5B
(15) = 5(3)
15 = 15 ✔

A = B + 12
(15) = (3) + 12
15 = 15 ✔

8 0

3 years ago

Read 2 more answers

The length of AB¯¯¯¯¯ is 10 inches. A dilation with a scale factor of 25 is applied.

Lostsunrise [7]

The dilation scale factor is applied to all lengths.

... A'B' = (10 in)×25 = 250 in.

6 0

3 years ago

The number of potholes in any given 1 mile stretch of freeway pavement in Pennsylvania has a bell-shaped distribution. This dist

alexira [117]

<h3>Answer: 83.85%</h3>

This value is approximate.

==========================================================

Explanation:

Let's compute the z score for x = 40

z = (x-mu)/sigma

z = (40-47)/7

z = -1

We're exactly one standard deviation below the mean.

Repeat these steps for x = 68

z = (x-mu)/sigma

z = (68-47)/7

z = 3

This score is exactly three standard deviations above the mean.

Now refer to the Empirical Rule chart below. We'll add up the percentages that are between z = -1 and z = 3. This consists of the two pink regions (each 34%), the right blue region (13.5%) and the right green region (2.35%). These percentages are approximate.

34+34+13.5+2.35 = 83.85

<u>Roughly 83.85%</u> of the one-mile roadways have between 40 and 68 potholes.

5 0

2 years ago

Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with

larisa86 [58]

Based on the mean, standard deviation, and the graph, the indicated IQ score would be 115.

<h3>What is the indicated IQ score?</h3>

First, find the z value:

P(Z<z) = 1 - tail value

= 1 - 0.1587

= 0.8413

According to the z-value, this gives a value of:

z = 1

The indicated IQ score is:

= mean + z value z standard deviation

= 100 + 1 x 15

= 115

Find out more on normal distributions at brainly.com/question/4079902

#SPJ1

5 0

1 year ago