the function f(x) = -5x^2 +3 is defined over the domain -4< x < -1. find the range of this function.
a. 8 < f(x) < 83
b. 8 ≤ f(x) ≤ 83
c. -77 < f(x) < -2
d. 8 < f(x) < 23

Answers

Answer 1

Answer:

[tex]choice \: c. \: - 77 < f(x) < - 2[/tex]

Step-by-step explanation:

Find the y-values of the functions endpoints.

[tex]f( - 4) = - 5 ({ - 4}^{2}) + 3 = - 77[/tex]

[tex]f( - 1) = - 5( { - 1}^{2}) + 3 = - 2[/tex]

Thus finding the range of F(x).

Answer 2

The range of the given function is - 77 < f(x) < - 2.

What is the range of a function?

"The range of a function is a set of all the images of elements in the domain."

The given function is:

f(x) = - 5x² + 3

It is defined over the domain - 4 < x < - 1.

For x = - 4, f(x) = - 5(- 4)² + 3 = - 80 + 3 = - 77

For x = - 1, f(x) = - 5(- 1)² + 3 = - 5 + 3 = - 2

Therefore, the range of the given function f(x) is:

- 77 < f(x) < - 2.

Learn more about the range of a function here: https://brainly.com/question/8841915

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Related Questions

if you can travel 25 miles in 35 minutes, how long should it take you to travel 12 miles?

Answers

Answer:

It's going to take you 17 min to travel 12 miles

assuming you are going with mph

Step-by-step explanation:

I looked at a speed calculator and calculated that to go 25 miles in 35 min, you were going 42 mph. so I changed the imput to 12 miles and I got my answer.

for f(x)= -4x + 5, find f(x) when x = -2.

Answers

Answer:

13

Step-by-step explanation:

f(x)= -4x + 5

Let x = -2

f(-2) = -4(-2) +5

      = 8+5

     = 13

Step-by-step explanation:

x = - 2

f ( x ) = - 4x + 5

f ( - 2 )

= - 4 ( - 2 ) + 5

= 8 + 5

= 13

The volume of this cube is 64 cubic feet. What is the value of a?

Answers

Answer:

a = 4 feet

Step-by-step explanation:

Since it's a cube, we know that each value will be equal. Because of this, you can cube root the cube's volume to find a.

[tex]\sqrt[3]{64}=4[/tex]

Therefore, a = 4 feet.

Answer:

4

Step-by-step explanation:

To find the area of a cube, we have to multiply the width, height, and length, which, since they are all the same value, would be a side multiplied by itself 3 times(cubed). So, the area of this cube in terms of a(side) is a*a*a or a^3. The area is given to be 64, so we can write:

a^3 = 64

With the equation, we can realize 4*4*4 is 64, meaning a is 4.

If g(x) = 2(x − 4), find the value of x if g(x) = 20

Answers

Answer:

x=14

Step-by-step explanation:

g(x) = 2(x − 4)

Let g(x) = 20

20 = 2(x − 4)

Divide each side by 2

20/2 = 2(x-4)/2

10 = x-4

Add 4 to each side

10+4 = x-4+4

14 =x

Someone help me on this, thats my illustration for it its a lil long

Answers

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

A = 25a = 13.2b = 25.5

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

---------------------------------------

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

---------------------------------------

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

Round 332.749 to:
tens
and
hundredths

Answers

Answer:

To the nearest ten, 330 would be the answer

To the nearest hundredth, the answer would be 332.75

Step-by-step explanation:

I'm not sure if you meant tenths or hundred, but let me know if this is right or wrong :)

Find an equation of the line through the given points right the answer and slope intercept form

Answers

Answer:

equation is y = 2-x

Step-by-step explanation:

x1 = -3

y1 = 5

x2 = 4

y2 = -2

now

m(slope) = rise/run =(y2-y1)/(x2-x1) =(-2-5)/(4+3) = -7/7 = -1

so m = -1

now

y =mx + b

-2 = -1×4 + b

or, -2 = -4 +b

so, b = 2

now

y = mx+b

y = -1x + 2

or, y = 2-x

Hello! I have an algebra 1 dba tomorrow (flvs). I am just a little nervous and want to be a little more prepared. Does anybody know what questions I will be asked? Btw this is for algebra 1 module 4. Thank you :)

Answers

Answer:

Im not sure what is in the algebra 1 module 4 but for algebra 1 you should study how to graph equations, solve system of equations with substitution and elimination. those topics, at least for e, have been a little tricky

Step-by-step explanation:

Find the missing letter.

Answers

Answer:

The missing letter is ( J )

evaluate expressions 1. find the value of f(x) = 3x -2 when x is given value a.). f(3) b.) f(-5) c.) f(0)​

Answers

Answer:

a). 7

b). -17

c). -2

Step-by-step explanation:

You have to substitute the given x value into the equation.

a). f(3)= 3(3)-2

=9-2

=7

In an atom, electrons have a negative charge and protons have a positive charge. One negative and
one positive cancel each other, just like zero pairs. An atom has 354 electrons and 139 protons.
What is the amount and type of charge?

Answers

Answer:

The charge is negative and the amount is 215

Step-by-step explanation:

Electrons are negative

-354

Protons are positive

+139

-354+139

-215

So

Electrons=-354Protons=+139

Net charge

354-139-215

Negative charge and the amount is 215

Kristina wants to buy a flute that costs 240 . She has saved 20 each week for 3 weeks . How many more weeks does Kristina need to save money if she continues to save 20 each week

Answers

Answer:

9 more weeks

Explanation:

She already saved 20(3)=60

240=60+20(x)
X=9
She needs 9 more weeks

A square has a perimeter of 4 cm. What is the length of each side?

Answers

Answer:

1 cm

Step-by-step explanation:

Since the perimeter is 4 cm and all the sides of the square have the same length, each side must be 1 cm long.

The area of that square is 1 cm x 1 cm, which is 1 cm2.

Step-by-step explanation:

since the all side is same,the side length is just 1 cm. And the area is just the side length square =1cmsquare× 1 cm

= ans is 1cm^2

Below are two different functions, f(x) and g(x). What can be determined about their slopes? f(x)= 4x + 2 The function g of x going through 0, negative 2 and 1, 3 (1 point) The function f(x) has a larger slope. The function g(x) has a larger slope. They both have the same slope. The relationship between slopes cannot be determined.

Answers

Answer:

g(x) has the larger slope.

Step-by-step explanation:

f(x) = 4x + 2

- so its slope = 4.      ( from general form y = mx + c where m = slope).

The slope of g(x) = (3 - (-2) / (1 - 0)

= 5.

Does the graph represent a function? Why or why not?

Answers

Answer:

D. Yes, because it passes the vertical line test.

Step-by-step explanation:

In order to be a function, it needs to pass the vertical line test as a function can not have multiple y's for one x. However, functions can have multiple x's for one y such as in a quadratic function.

Answer:

D.

Brainliest, please!

Step-by-step explanation:

This function passes both the horizontal and vertical line tests. But when determining if it is a function or not, the vertical line test is the only one that matters. If we wanted to know if this function had an inverse or not, then B. would be right.

which is the equation of the line with slope 0 passing through the point (-1,-2)?

Answers

The answer is A.

Because it goes 2 down

what percent of 65 gives you 33

Answers

Answer:

50.8%

Step-by-step explanation:

Convert fraction (ratio) 33 / 65 Answer: 50.769230769231%

Complete the table, and then use the drawing tools to create the graph representing the relationship between the amount of plant food remaining, f(x), and the number of days that have passed, x.

Answers

The complete table of the function is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

The equation missing from the question is:

[tex]y = 72 - 12x[/tex]

To complete the table, we simply calculate the y value for each x value;

When [tex]x = 0[/tex],     [tex]y = 72 - 12 * 0 = 72[/tex]

When [tex]x = 1[/tex],     [tex]y = 72 - 12 * 1 = 60[/tex]

When [tex]x = 2[/tex],     [tex]y = 72 - 12 * 2 = 48[/tex]

When [tex]x = 3[/tex],     [tex]y = 72 - 12 * 3 = 36[/tex]

When [tex]x = 4[/tex],     [tex]y = 72 - 12 * 4 = 24[/tex]

When [tex]x = 5[/tex],     [tex]y = 72 - 12 * 5 = 12[/tex]

When [tex]x = 6[/tex],     [tex]y = 72 - 12 * 6 = 0[/tex]

So, the complete table is:

[tex]\begin{array}{cccccccc}x & {0} & {1} & {2} & {3} & {4}& {5} & {6} \ \\ f(x) & {72} & {60} & {48} & {36} & {24}& {12} & {0} \ \end{array}[/tex]

To create a graph of f(x), we simply type [tex]y = 72 - 12x[/tex] on a drawing tool and the graph will be generated.

See attachment for graph

Learn more about graphs at:

https://brainly.com/question/20106471

Answer:

Step-by-step explanation:

PLEASE HELP ASAP!!!!! The following graph shows a proportional relationship. What is the constant of proportionality between y and x in the graph?

Answers

Answer:

2/3

Step-by-step explanation:

The graph point is on (3,2)

A to B is 420 mile away, A travels 40 mph and B travels 80 mph. they toward to each other. how many hour will they meet ?

Answers

Answer:

Step-by-step explanation:

I hope these are people in vehicles travelling toward each other.

80 mh * t + 40 mph * t = 420 miles

The two vehicles are going to travel a total of 420 miles. B will cover a lot more ground than A, but together they will make 420 miles

80t + 40t = 420

120t = 420

t = 420/120

t = 3.5

So after driving 3.5 hours, the two cars will meet.

3.3 Is it possible that a vehicle could travel so fast that the trip could be done in no time at all? Give a reason for your answer.​

Answers

Answer:

No.

Step-by-step explanation:

No matter how fast something is going it still takes a moment in time, even if it's only 1/10000 of a second.

Write the equation of the line that passes through the points (−7,5) and (-7,-8).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.

Answers

Answer:

x = -7

Step-by-step explanation:

First we find the slope using

m = ( y2-y1)/(x2-x1)

   = ( -8 - 5)/( -7 - -7)

   = (-8-5)/(-7+7)

   = -13/0

This means the slope is undefined and the line is vertical

Vertical lines are in the form

x= constant and the constant is the x value of the points

x = -7


Which number is a solution of the inequality?
3x - 15 ≥ 3

a.) -9/11

b.)6/11

c.)6

d.)5

Answers

Answer:

6

Step-by-step explanation:

[tex]3x - 15 \geqslant 3[/tex]

[tex]3x \geqslant 3 + 15[/tex]

[tex]x \geqslant \frac{18}{3} [/tex]

[tex]x \geqslant 6[/tex]

Write the following integers along the maze so they are
increasing from start to finish. The shaded box in the maze will
have the answer to the question.
5, -14, -39, -3, 61, -60, -23, -72, -48, -11, 100, -45, 10,
-57, -1, -29, -64, -37, 0, -65, 74, 98, -28, -7,-63, -49,
--21, -54, 27, 53,-9, -32, -16,35, -30, -18, -52, 86, -46, 42,
-56, -41, -22, -43, 19
START

Answers

Sorry if you can’t read my handwriting but there you go. I did it in pen too so sorry.

what is 5cd

when c = 3
and d = 4​

Answers

5x3x4 = 60 probably

Answer:

60

Step-by-step explanation:

5*3*4

9/7 = please answer me​

Answers

Answer:

[tex] \frac{9}{7} = 1.2857 = 1 \frac{2}{7} [/tex]

Answer:

Step-by-step explanation:

[tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boldsymbol {\frac{9}{7}=1\frac{2}{7} \ \ or \ \ 1.(28571)}[/tex]

which inequality is represented on the number line shown?

Answers

Answer:

A

Step-by-step explanation:

b/ of shaded region can make to closed inequality & it's not closed to make open inequality.

If P =
1 2
then, prove that P2 - 2P - 5 = 0, 1 = 0, where I and 0 are unit
3 1
matrix and null matrix of order 2 x 2 respectively.

Answers

Answer:

thanks for free ponits you dint gave it free but I theft I'm sorry

which is the graph of g(x) = sqrt x-16

Answers

Answer:

Step-by-step explanation:

I am not sure if you are asking for the graph of

√(x-16) that has a x intercept at (16,0)

or

√ x -16 that has a y intercept at (0, -16)

Find the measure of the indicated angle to the nearest degree.

Answers

Answer:

Step-by-step explanation:

Adjacent to the undetermined angle is 6, and the hypotenuse has been given. We can conclude, after looking at our SOHCAHTOA, that we will be using cosine(CAH) to solve this problem.

Let the unspecified angle be [tex]\theta\\[/tex] (This sign is called theta, which is just a sign for angle)

Lets start!

cos[tex]\theta\\[/tex] = adj/hyp

cos[tex]\theta\\[/tex] = 6/13

[tex]\theta\\[/tex] = [tex]cos^{-1}[/tex](6/13)

[tex]\theta\\[/tex] = 62.5

[tex]\theta\\[/tex] = 63

Hope that helped!

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