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3 years ago

What is the range of the function f(x)= -2x-4 when the domain is {-3,-2,-1}?

Mathematics

1 answer:

Paha777 [63]3 years ago

6 0

F(-3)=(-2)*(-3)-4=6-4=2

F(-2)=(-2)*(-2)-4=4-4=0

F(-1)=(-2)*(-1)-4=2-4=-2

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Translate the following sentence into equations •Three less than "x" is equal to 13

Vikentia [17]

3 less then x.......x - 3
is equal to 13...= 13

x - 3 = 13 <==

3 0

3 years ago

In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

Makovka662 [10]

The sum of the angles of a triangle ALWAYS sum up to 180 degrees. So to find the other angle, you would take 180, subtract 90, and then subtract 26, to get 64.
The measure of the 3rd angle equals 64.

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3 years ago

The function H(t) = −16t2 + 75t + 25 shows the height H(t), in feet, of a baseball after t seconds. Part A: After how many secon

nlexa [21]

Step-by-step explanation:

Given that,

The function that shows the height of a baseball after t seconds is given by :

$H(t)=-16t^2+75t+25$ ....(1)

Part (A).

When the baseball hits the ground,

H(t) = 0

So,

$-16t^2+75t+25=0\\\\t=5\ s\ and\ t=-0.31\ s$

After 5 seconds the baseball will hit the ground.

Pat (B)

For maximum height, put dH/dt = 0

So,

$\dfrac{d}{dt}(-16t^2+75t+25)=0\\\\-32t+75=0\\\\t=2.34\ s$

Put t = 2.34 s in equation (1).

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Hence, this is the required solution.

8 0

3 years ago

(Score for Question 3: ___ of 5 points) The measure of ∠2=8x+10 and the measure of ∠4=42+6x. Find the measure of ∠4. Show your w

Svetradugi [14.3K]

Answer:

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x Take away 6x from both sides

2x + 10 = 42 Take 10 away from both sides to combine like terms

2x = 32 Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

4 0

3 years ago

Loni needs between 3.5 and 7.2 volts of energy, not inclusive, to make an experiment work correctly. Write a compound inequality