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il63 [147K]
3 years ago
14

Given f(x) = –3x – 7, what is f(–4)?

Mathematics
2 answers:
lyudmila [28]3 years ago
8 0
The answer is D hope this help

Degger [83]3 years ago
8 0
F(x) = -3x - 7....looking for f(-4) means sub in -4 everywhere there is an x

f(-4) = -3(-4) - 7
f(-4) = 12 - 7
f(-4) = 5 <===
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800,00 rounded to the nearest hundred thousand
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On a grid, the distance between the points located at (3, 2) and (9, 3) is roughly equal to _____.
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3 years ago
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Which system of inequalities does the graph represent? Which test point satisfies both of the inequalities in that system?
AveGali [126]

Answer:

1) The inequality for the given system are

y ≥ 4x - 4

y ≥ x - 1.5

2)  The test point (0,0)  satisfies both of the inequalities in the system represented by the graph.

Step-by-step explanation:

Given : A graph showing  a system of inequalities.

We have to find the system of inequality.

For line 1)

The points that cut the x and y axis are (1,0) and (0,-4)

Thus, we can find the equation of line using two given point.

Since the general equation of line is y = mx + c

Where m is slope and c is y intercept

Slope is find as m=\frac{y_2-y_1}{x_2-x_1}

Substitute, we get,

m=\frac{-4-0}{0-1}=4

Slope is 4.

Thus, equation becomes y = 4x + c

For c put (0,-4)  in the above equation , we have,

-4 = 4(0) + c ⇒ c = -4

Thus, equation becomes y = 4x - 4

For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region

For (0,0)

y = 4x - 4 becomes 0 = - 4  is satisfied when 0 > -4

thus, the inequality becomes y ≥ 4x - 4

Since, the line is a solid so it will take up equality sign too.

For line 2)

The points that cut the x and y axis are (1.5,0) and (0,-1.5)

Thus, we can find the equation of line using two given point.

Since the general equation of line is y = mx + c

Where m is slope and c is y intercept

Slope is find as m=\frac{y_2-y_1}{x_2-x_1}

Substitute, we get,

m=\frac{-1.5-0}{0-1.5}=1

Slope is 1.

Thus, equation becomes y = x + c

For c put (0,-1.5)  in the above equation , we have,

-1.5 = (0) + c ⇒ c = - 1.5

Thus, equation becomes y = x - 1.5

For inequality take a test point (0,0) and we check for which inequality it satisfies the graph region

For (0,0)

y = x - 1.5 becomes 0 = -1.5  is satisfied when 0 > - 1.5

thus, the inequality becomes y ≥ x - 1.5

Since, the line is a solid so it will take up equality sign too.

Thus, the inequality for the given system are

y ≥ 4x - 4

y ≥ x - 1.5

Also,  The test point (0,0)  satisfies both of the inequalities in the system represented by the graph.

6 0
3 years ago
The legs of a 45-45-90 triangle have a length of eight units. What is the length of its hypotenuse?
Feliz [49]
The hypotenuse of a 45 45 90 triangle equals one of the legs times the square root of 2
hypotenuse = 8 * <span> <span> <span> 1.4142135624 </span> </span> </span>
hypotenuse = <span> <span> <span> 11.3137084990 </span> </span> </span>

Source:
http://www.1728.org/trig2.htm


6 0
3 years ago
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tankabanditka [31]

Answer:

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Step-by-step explanation:

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100° = x + 70°

100° - 70° = x

30° = x

x = 30°

6 0
3 years ago
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