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sweet-ann [11.9K]
2 years ago
14

What is k(-8) when given the function k(x) = x +5 – 2x2?

Mathematics
1 answer:
xz_007 [3.2K]2 years ago
7 0
By the way, the typed out question is not proper. Be sure to be clear on signs, like absolute value.

Absolute value of -8+5 is 3. This is because -3 is turned positive due to | |

(-8)^2 = 64
Multiply 64*2, equal to 128

Then solve. — 64-128= -64

-64 is the answer
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Find the volume of the solid to the nearest unit.
Eva8 [605]
Volume of the bottom cuboid = 5 x 6 x 3 = 90 ft³

Volume of the pyramid = 1/3 x 5 x 6 x 3 = 30 ft³

Total = 90 + 30 = 120 ft³
8 0
3 years ago
Which statements are true? Check all that apply.
mariarad [96]

Answer:

A, B, and C

Step-by-step explanation:

A) We can see if this is a horizontal line if its slope is 0. Slope is change in y divided by change in x, so: slope = \frac{7-7}{3-(-2)} =\frac{0}{5} =0 . Thus, this is a horizontal line and the statement is correct.

B) Any equation of the form x = k, where k is a constant, will always be a straight line. Let's see if it goes through (-8, 3) by plugging in the values of -8 in for x and 3 in for y in the equation.

Clearly, we don't have a y, so we just put in the -8 for the x: -8 = -8. Since this is a true statement, we know that x = -8 does go through (-8, 3). So, this is a true statement.

C) We can see if this is a vertical line if its slope is undefined (for example, if the denominator is 0, it's undefined). Slope = \frac{5-(-7)}{0-0} =\frac{12}{0} = undefined. So, this is a vertical line and the statement is true.

D) As a basic fact, any point on a horizontal line will have the same y coordinate. However, their x coordinates may vary. Thus, the statement is false.

So, the answers are A, B, and C.

Hope this helps!

4 0
3 years ago
Read 2 more answers
Compute the probability of the event E1 that Bob wins in a duel against Eve alone, assuming he shoots first. (Hint: Let x be the
skad [1K]

Answer: Hello your question is incomplete attached below is the missing

n ( 1 + n )

Step-by-step explanation:

P( Bob hits target ) = 1/3

P( Eve hits target ) = 2/3

P( Carol hits target ) = 1

<u>Compute the P that Bob wins in a duel against Eve alone</u>

P(Bob hits the target in first shot ) = n = 1/3

P(Bob hits the target in second shot ) = n^2 = ( 1/3 * 1/3 ) = 1/9

hence the probability of Bob winning( i.e. P( Bob wins Event E1  ) = n + n^2 = n ( 1 + n )

6 0
3 years ago
What are the coordinates of the vertex of the parabola described by the equation below? y = -7(x - 4)2 - 5
pochemuha
To get the vertex of the parabola we proceed as follows;
y=-7(x-4)^2-5
The above can be written as:
y=-7x^2+56x-117
The values of a,b and c are:
a=-7, b=56 and c=-117
x=-b/(2a)
x=-56/(-7*2)=4
but;
y=-7x^2+56x-117
y=-7(4)^2+56(4)-117
y=-5
Thus;
x=4 and y=-5
The vertex will be at point (4,-5)


7 0
4 years ago
Read 2 more answers
The function f(x) = In(x) has a domain of all real numbers greater than zero and a range of all real numbers. The
solniwko [45]

Answer:

The domain of f–1(x) is all real numbers and the range is all real numbers greater than 0.

Step-by-step explanation:

4 0
3 years ago
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