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____ [38]
3 years ago
10

G(x) = x2 - 4x – 21​

Mathematics
1 answer:
bagirrra123 [75]3 years ago
4 0

The answer to this problem is: 3x -21

Work: 4x - x = 3x

Final Answer: 3x - 21

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What is the velocity of a bird with a mass of 2 kilograms flying at 60 kg*m/s?
scoundrel [369]

Answer:

30 m/s

Step-by-step explanation:

<em>p = mv</em>

<em>momentum</em><em> </em><em>=</em><em> </em><em>mass</em><em> </em><em>×</em><em> </em><em>velocity</em>

<em>here</em><em> </em><em>the</em><em> </em><em>momentum</em><em> </em><em>is</em><em> </em><em>60kgm</em><em>/</em><em>s</em>

<em>mass</em><em> </em><em>is</em><em> </em><em>2kg</em>

<em>substitute</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>equation</em>

<em>6</em><em>0</em><em> </em><em>=</em><em> </em><em>2v</em>

v= 30m/s

4 0
3 years ago
Find the equation of the straight line through (–2, 3) perpendicular<br> to 2x + y =8
Thepotemich [5.8K]

Answer:

y = \dfrac{1}{2}x + 4

Step-by-step explanation:

The equation of a line in slope-intercept form is

y = mx + b

We need to find the slope, m, and the y-intercept, b.

The line we need is perpendicular to the line 2x + y = 8.

<em>The slopes of perpendicular lines are negative reciprocals.</em>

We solve the given equation for y to find the slope of the given line.

2x + y = 8

y = -2x + 8

The given line has slope -2.

The negative reciprocal of -2 is 1/2.

Our line has slope, m = 1/2.

Now we have

y = 1/2 x + b

Now we use the given point, (-2, 3), for x and y, using x = -2, and y = 3, and we solve for b.

y = 1/2 x + b

3 = 1/2 * (-2) + b

3 = -1 + b

4 = b

b = 4

Now we have

y = 1/2 x + 4

Answer: y = \dfrac{1}{2}x + 4

8 0
3 years ago
The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. Th
e-lub [12.9K]

Answer:

95% of monthly food expenditures are between $110 and $190.

Step-by-step explanation:

Given : The monthly amounts spent for food by families of four receiving food stamps approximates a symmetrical, normal distribution. The sample mean is $150 and the standard deviation is $20.

To find : Using the Empirical rule, about 95% of the monthly food expenditures are between which of the following two amounts?

Solution :

At 95% of the data is between two standard deviation to left and right of the mean is given by,

To the left side, \bar{x}-2\sigma

To the right side, \bar{x}+2\sigma

We have given,

The sample mean \bar{x}=\$150

The standard deviation \sigma=\$20

Substitute in the formula,

\bar{x}-2\sigma

=150-2(20)

=150-40

=110

\bar{x}+2\sigma

=150+2(20)

=150+40

=190

Therefore, 95% of monthly food expenditures are between $110 and $190.

6 0
3 years ago
 An athlete runs an equal distance 2 days a week. The other 5 days of the​ week, he runs a total of 11 miles. Write an equation
katovenus [111]
Ok since the athlete an equal distance of 2 days a week and he runs a total of 11 miles in 5 days you will need to think back so before he had 11 miles done next weak he had a total of 19 miles so you will start at 11 then count up to 19.

Use a number line to show how many days it took for the athlete to get 19 miles.

Then once you do the number line count the lumps and that’s how many days it took for the athlete to get 19 miles.

Hope this helped.
3 0
3 years ago
A(n) __value is any 2-value of a function that makes the y-value undefined.
Afina-wow [57]

Answer:

rational

Step-by-step explanation:

its so because they fit equaly

6 0
3 years ago
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