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PIT_PIT [208]
3 years ago
7

Evaluate the function for the given value. If f(x) = -3x2 – 8, then f(-4)= ?

Mathematics
1 answer:
Ganezh [65]3 years ago
4 0

Answer:

The answer is

<h2>f( - 4) =  - 56</h2>

Step-by-step explanation:

f(x) =  - 3 {x}^{2}  - 8 \\

To find f(-4) , substitute the value of x that's - 4 into f(x). That is for every x in f(x) , replace it with - 4

We have

f( - 4) =  - 3 ({ - 4})^{2}  - 8 \\  =  - 3(16) - 8 \\  =  - 48 - 8 \:  \:  \:  \:  \:

We have the final answer as

f( - 4) =  - 56

Hope this helps you

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What is the equation in slope intercept form for (2,5) (3,12)
kondaur [170]

Slope formula: y2-y1/x2-x1

= 12-5/3-2

= 7/1

= 7

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Best Regards,

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7 0
3 years ago
Determine if the triangles in the figure are congruent
valkas [14]

Answer:

The triangles are congruent by Angle Side Angle congruency statement and the reason is below.

Step-by-step explanation:

Given:

∠ VUW ≅ ∠ XYW

VW ≅ YW

To Prove:

Δ VUW ≅ Δ XYW

Proof:

In Δ VUW and Δ XYW

∠ VUW ≅ ∠ XYW      ……….{Given}

VW ≅ YW                 ............{Given}

∠ VWU ≅ ∠ XWY    …………..{Vertically Opposite Angles are equal}

Δ VUW ≅ Δ XYW   .….{ By Angle-Side-Angle congruence test}

......Proved

6 0
3 years ago
In 2002, there were 972 students enrolled at Oakview High School. Since then, the number of students has increased by 1.5% each
Rudiy27

Answer:

N(t) = 972(1.015)^{t}

Growth function.

The number of students enrolled in 2014 is 1162.

Step-by-step explanation:

The number of students in the school in t years after 2002 can be modeled by the following function:

N(t) = N(0)(1+r)^{t}

In which N(0) is the number of students in 2002 and r is the rate of change.

If 1+r>1, the function is a growth function.

If 1-r<1, the function is a decay function.

In 2002, there were 972 students enrolled at Oakview High School.

This means that N(0) = 972

Since then, the number of students has increased by 1.5% each year.

Increase, so r is positive. This means that r = 0.015

Then

N(t) = N(0)(1+r)^{t}

N(t) = 972(1+0.015)^{t}

N(t) = 972(1.015)^{t}

Growth function.

Find the number of students enrolled in 2014.

2014 is 2014-2002 = 12 years after 2002, so this is N(12).

N(t) = 972(1.015)^{t}

N(12) = 972(1.015)^{12}

N(12) = 1162

The number of students enrolled in 2014 is 1162.

7 0
3 years ago
What is the total volume of this compound shape?
Alex787 [66]

Answer:

This is very easy. First find the volume of the cube, and then add it to the volume of the hemisphere to find the total volume.

The volume of the cube is length x width x height: 8 x 8 x 12 = 768 cm

The volume of the hemisphere is (2/3)πr³ : (2/3)π(4)³ = 134.04 cm

*Radius is 4

Now add: 768 + 134.04 = 902.04 cm

6 0
3 years ago
REALLY URGENT. 1 3/5 divided by 2/5
Nikolay [14]

Answer:

4

Step-by-step explanation:

<em>1 3/5(2/5) = 4</em>

7 0
4 years ago
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