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2 years ago

What is the sum of 3x2-x + 4 and 2x - 4x² - 7?

Mathematics

1 answer:

Y_Kistochka [10]2 years ago

3 0

Answer:

$\tt \boxed{ - \tt \: x^2+x+4}$

Step-by-step explanation:

Combine Like Terms:

=3x^2−x+4+2x−4x^2

=(3x^2−4x^2)+(−x+2x)+(4)

=−x^2+x+4

Answer:

=−x^2+x+4

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Find the area of the semicircular desk. Round your answer to nearest hundredth.

laiz [17]

Answer:

Its about 36 feet

Step-by-step explanation:

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3 years ago

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A football is kicked toward an end zone with an initial vertical velocity of 30 ft/s. The function h(t) = -16+ 30t models the he

Ulleksa [173]

Answer:

A. The football does not reach a height of 15ft

Step-by-step explanation:

Given

$h(t) = -16t^2 + 30t$

Required

Determine which of the options is true

The option illustrates the height reached by the ball.

To solve this, we make use of maximum of a function

For a function f(x)

Such that:

$f(x) = ax^2 + bx + c$ :

$f(\frac{-b}{2a}) = maximum/minimum$

i.e we first solve for $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for x in $f(x) = ax^2 + bx + c$

In our case:

First we need to solve $\frac{-b}{2a}$

Then substitute $\frac{-b}{2a}$ for t in $h(t) = -16t^2 + 30t$

By comparison:

$b = 30$

$c = -16$

$\frac{-b}{2a} = \frac{-30}{2 * -16}$

$\frac{-b}{2a} = \frac{-30}{-32}$

$\frac{-b}{2a} = \frac{30}{32}$

$\frac{-b}{2a} = \frac{15}{16}$

Substitute $\frac{15}{16}$ for t in $h(t) = -16t^2 + 30t$

$h(\frac{15}{16}) = -16(\frac{15}{16})^2 + 30(\frac{15}{16})$

$h(\frac{15}{16}) = -16(\frac{225}{256}) + \frac{450}{16}$

$h(\frac{15}{16}) = -(\frac{225}{16}) + \frac{450}{16}$

$h(\frac{15}{16}) = \frac{-225 + 450}{16}$

$h(\frac{15}{16}) = \frac{225}{16}$

$h(\frac{15}{16}) = 14.0625$

This implies that the maximum height reached is 14.0625ft.

So, the option that answers the question is A because $14.0625 < 15$

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3 years ago

Solve: 8 – 2x = 2 x= And how?

TiliK225 [7]

Answer:

x = 3

Step-by-step explanation:

8 - 2x = 2

- 2x = 2 - 8

- 2x = - 6

- x = - 6/2

- x = - 3

x = 3

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4 years ago

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Marco thinks the total number of runs a team scores in a season is a better indicator of how many wins it will have in that seas

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Yes, the total runs is a better indicator of wins because it has a stronger linear association. Total runs has a stronger linear association because the data points sit closer to the trend line than the data points on the home runs scatterplot.

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3 years ago

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According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this res

Andreyy89

Answer:

(a) S = {0, 1, 2, ..., 10}

(b) 0.256

Step-by-step explanation:

It is provided that, 74% of households said that they have never purchased organic fruits or vegetables.

(a)

X = the number of households in a random sample of 10 who have never purchased organic fruits or vegetables.

X follows a binomial distribution.

The sample space of X is:

S = {0, 1, 2, ..., 10}

(b)

Compute the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables as follows:

$P(X=7)={10\choose 7}(0.74)^{7}(1-0.74)^{10-7}$

$=120\times 0.121513\times 0.017576\\\\=0.25628549856\\\\\approx 0.256$

Thus, the probability that exactly 7 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is 0.256.

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4 years ago