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3 years ago

If f(x) = 4x2 – 6 and g(x) = x2 – 4x – 8, find (f – g)(x).

Mathematics

1 answer:

dangina [55]3 years ago

7 0

Answer: Use the given functions to set up and simplify (f - g)(x). You should get 3x^2 +4x+2

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Scores on a standardized test are normally distributed with a mean of 480 and a standard deviation of 90. What proportion of the

Aloiza [94]

Answer:

Step-by-step explanation:

Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 480

σ = 90

1) The proportion of scores above 700 is expressed as

P(x > 700) = 1 - P(x ≤ 700)

For x = 700,

z = (700 - 480)/90 = 2.44

Looking at the normal distribution table, the probability corresponding to the z score is 0.99

P(x > 700) = 1 - 0.99 = 0.01

the proportion of scores above 700 is 0.01

2) For the 25 percentile, z = - 0.67. Therefore,

- 0.67 = (x - 480)/90

90 × - 0.67 = x - 480

- 60.3 = x - 480

x = - 60.3 + 480

x = 419.7

3) if Someone’s score is 600, then

z = (600 - 480)/90 = 1.33

From the table, the percentileis

0.91 × 100 = 91%

4) For x = 420,

z = (420 - 480)/90 = - 0.67

The proportion is 0.25

For x = 520,

z = (520 - 480)/90 = 0.44

The proportion is 0.67

The proportion of the score between 420 and 520 is

0.67 - 0.25 = 0.42

7 0

3 years ago

Does the table represent a function? Why or why not?

Valentin [98]

The correct answer is C

The treaty proved unpopular with the American public but did accomplish the goal of maintaining peace between the two nations and preserving U.S. neutrality. Tensions between the United States and Britain remained high after the Revolutionary War as a result of three key issues.

3 0

3 years ago

Please help!?

Alex787 [66]

Answer:

x=63.25

Step-by-step explanation:

Hi there!

We're given ΔDEF with m<E=90°, m<D=49°, DE=55, and EF=x

we need to find the value of x

Let's use trigonometry to do it

Since we are given the measures of the 2 legs (the sides that make up the 90° angle), let's use tangent, specifically tan(49), since we are given the measure of that angle

Recall that tangent is $\frac{opposite}{adjacent}$

in reference to m<D (the angle that is 49°), the opposite side is EF (x) and the adjacent side is DE (55)

so tan(49)= $\frac{x}{55}$

plug tan(49) into your calculator; remember to have the calculator on degree mode

tan(49)≈1.15 (rounded to the nearest hundredth)

so that means:

1.15= $\frac{x}{55}$

multiply both sides by 55 to clear the fraction

63.25=x

Hope this helps!

5 0

3 years ago

What is 232 + 88+ 61 =

viktelen [127]

Answer:

381

Step-by-step explanation:

232 + 88 = 320

320 + 61 = 381

Hope this helped and brainliest please

7 0

2 years ago

Which of these states had a flat state income tax in 2009

kirill115 [55]

The answer would have to be Michigan. They had a flat income tax in 2009

7 0

3 years ago

Read 2 more answers