Find the zeros of the function. Write the smaller solution first, and the larger solution second. f(x)=-3x^2 +75f(x)=−3x 2 +75f, left parenthesis, x, right parenthesis, equals, minus, 3, x, squared, plus, 75 \text{smaller }x =smaller x=start text, s, m, a, l, l, e, r, space, end text, x, equals \text{larger } x =larger x=start text, l, a, r, g, e, r, space, end text, x, equals

Answers

Answer 1

Answer:

Smaller x= -5Larger x=5

Step-by-step explanation:

Given the function [tex]f(x)=-3x^2 +75[/tex]

The zeros of the function are the values of x for which f(x)=0.

[tex]f(x)=-3x^2 +75=0\\-3x^2 +75=0\\-3(x^2-25)=0\\$Divide both sides by -3\\x^2-25=0\\$Add 25 to both sides\\x^2-25+25=0+25\\x^2=25\\$Take the square root \\\sqrt{x^2}=\pm \sqrt{25}\\ x=\pm 5[/tex]

The zeros of f(x) are therefore 5 and -5.

Smaller x= -5Larger x=5

Related Questions

hellppp me its due today

Answers

the answer is $11.64

Answer:

The answer should be: $69.84

Step-by-step explanation:

Original: $58.20

Tip: 20% or $11.64

Add those to get: $69.84

After 2 females leave a party, there are twice as many males as females. Then 9 males leave and there are twice as many females as males. What is the total number of people left at the party after 9 males leave?

Answers

Answer: 9 people are left at the party

Step-by-step explanation:

There was originally 8 females and 12 males

8-2 = 6

Twice the males as females

9 men leave which leaves 3 men and 6 women which is twice as many men

Hope this helps!

A coconut is a fruit that is made up of a hard outer shell that is spherical. Inside, there is a thick layer of coconut meat
that forms another spherical shell around the coconut milk.
If the diameter of an entire coconut is 5 inches, and the coconut meat is 1 inch thick, then there is room for
approximately _[blank] in^3 of coconut milk.
What number correctly fills in the blank in the previous sentence?
Hint find the radius of the inside sphere and use that to calculate the volume.
Use 3.14 and pie and round your answer to the nearest hundreth if necessary

Answers

Answer:  There is room for

approximately 33.49 in^3 of coconut milk.

Step-by-step explanation:

Hi, we have to calculate the volume of milk inside the coconut:

First, we have to find the diameter of that volume that is equal to the diameter of the entire coconut minus the thickness of the coconut meat:

5-1 = 4 in (diameter)

Now, we simply have to apply the next formula:  

Volume of a sphere: 4/3 π radius^3

Since: radius = diameter /2

V = 4/3 π (d/2)^3

Replacing with the values given:

V = 4/3 (3.14) ( 4/2)^3 = 33.49 in3

Feel free to ask for more if needed or if you did not understand something.

A triangular prism is shown below.
What is the surface area of the triangular prism?
Solution:​

Answers

Answer:

its C 184

Step-by-step explanation:

B more than the product of c and 10

Answers

Answer:

[tex]B>10c[/tex]

Challenge Six different names were put into a hat. A name is chosen 117 times and the name Grace
is chosen 20 times. What is the experimental probability of the name Grace being chosen? What is
the theoretical probability of the name Grace being chosen? Use pencil and paper. Explain how each
probability would change if the number of names in the hat were different.

Answers

Answer:

20/117; 1/117

Step-by-step explanation:

The total number of outcomes would be different

Use the distributive property to write an expression that is equivalent to 12 + 4x. Remember to think of your multiples of 4 to solve this problem. If you need help, go to slide 9 on Wednesday's instruction. *

Answers

Answer:

4(3 + x)

Step-by-step explanation:

A pair of shoes originally cost $80. The store is having a sale and discounting the shoes
by 25%. What is the sales price of the shoes?

Answers

Answer:

25% off $80.00 is $60.00

The difference is $20.00

Step-by-step explanation:

Hope this Helps!!!

Jake packed 3 pairs of shorts for a trip: 1 khaki and 2 denim. He
also packed 3 T-shirts: 2 white and 1 red. In the dark he
randomly selected a pair of shorts and a T-shirt. What is the
probability that he selected a pair of khaki shorts and a white T-
shirt?

1) 2/9

2) 1/3

3) 1/9

4) 1/4

Answers

The probability that he selected a pair of khaki shorts and a white T-shirt is 2/9. The correct option is A.

What is probability?

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favourable outcomes / Number of sample

Given that Jake packed 3 pairs of shorts for a trip: 1 khaki and 2 denim. He also packed 3 T-shirts: 2 white and 1 red. In the dark, he randomly selected a pair of shorts and a T-shirt.

The probability that he selected a pair of khaki shorts and a white T-shirt is calculated as,

P = 1 / 3 x 2 / 3

P = 2 / 9

Therefore, the probability that he selected a pair of khaki shorts and a white T-shirt is 2/9. The correct option is A.

To know more about probability follow

https://brainly.com/question/24756209

#SPJ6

A grapefruit is 8% heavier than an orange, and an apple is 10% lighter than the orange.

Answers

Answer:

The grapefruit is 20% heavier than the apple

Step-by-step explanation:

Say the orange's weight is o.

Grapefruit = 1.08o

Apple = 0.9o

So to find the percentage the grapefruit is bigger, you have to first do 1.08 - 0.9 = 0.18

0.18 / 0.9 = 0.2

0.2 = 20%

Answer:

i'm pretty sure the grapefruit is 20% more

Sorry if i'm wrong

Have an amazing day :)

Which table of ordered pairs represents a proportional relationship ?

Answers

Step-by-step explanation:

the second one, they are in proportion to each other in respect to the interfere values

Answer:Second Table

Step-by-step explanation:

Please solve anyone you can

Answers

Answer:

See below.

Step-by-step explanation:

I can't do all these for you but I'll show you how they are done by taking some samples.

k) 2^x = 32

Take logs of both sides

log 2^x = log 32

x log 2 = log 32

x = log 32 / log 2   Using your calculator to find the log values:

x = 5.

r) 9^(x + 1) = 81

log 9^(x + 1) = log 81

x + 1 log 9 = log 81

x + 1 = log81 / log9 = 2

x + 1 = 2

x = 1.

The above method is a general way to do these using logs but with some of the simpler ones you don't have to use logs at all:

For example :

3^x = 27

We know that 3^3 is 27 so

3^x = 3^3  and so:

x = 3.

Which function represents a vertical stretch of an exponential function?

y = 2x

y = 3 times 2 Superscript x

y = 23x

Answers

Answer:

[tex]y = 3 *2^{x}[/tex]

Step-by-step explanation:

It is a vertical stretch by a factor of 3 because a > 1.

Answer:

B= y = 3 times 2 Superscript x

Step-by-step explanation:

Is (1,3) a solution of the graphed inequality?

Answers

yes

Step-by-step explanation:

1,3 is within the shaded area

help plz geometry!!! ​

Answers

Answer:

89

Step-by-step explanation:

Find the unknown number
1. 364 is 7% of what number
2. 4% of what number is 33
3. 96 is 24% of what number
4. 300 is 80% of what number
5. 15% of what number is 75
6. 32% of what number is 896

Answers

So,

the answers are:

52008254003755002800

Look at the attached picture

Hope it will help you....

Good luck on your assignment

Answer:

[tex]1)5200 \\ 2)825 \\ 3)400 \\ 4)375 \\ 5)500 \\ 6)2800[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

-3 = За +6
Solve 2-step equations

Answers

Answer:

a=-3

Step-by-step explanation:

-3a=6+3

-3a=9

a=-3

Evaluate: 5^-2 =
O A. 10
O B. 25
O c. -10
O D. -25

Answers

Answer:

It should be 1/25

Step-by-step explanation:

If you only have those answers then answer D

What is the volume of the sphere in terms of pie

Answers

Answer: The volume is 288π .

Step-by-step explanation:

V= 4/3 *n*r^3

V = 4/3*n * 6^3

v=4/3 *n * 216

v= 288n

What is the value of x in
4x-2=10

Answers

The answer is 3

4 times 3 is 12 minus 2 is 10

If I could have some help on this, that would be great.

Answers

Answer:

D

Step-by-step explanation:

Because gx is equalling less that - and gx is becomeing more becaue its adding .....sorry for bad spelling and bad explanation

Answer:

d

Step-by-step explanation:

Which of the following linear equations passes through points (–1, 5) and (1, –5)?

Answers

Answer:

the answer is on the attached paper

what is 100-10d

for like terms.
please help will mark Brainliest to any correct!!

Answers

Answer:

[tex]100 - 10d \\ = 10(10 - d)[/tex]

PLZ, I NEED URGENT HELP WITH PROBLEMS 1-5! I DONT UNDERSTAND

Answers

Answer:

1 is 3, 2 is 9, 3 is 6, 4 is (guessing for 4) 6 or 3 depending on what it's asking look at explanation. I hope this helps!!

Step-by-step explanation:

1: shortest name 3 is the smallest number

2:  longest name is 9 letters nothing beats it

3: the graph shows those little like dot x things repersent the people with that length of name so 6 as the most therefore answer is 6

4: im guessing they mean which one is the middle of the graph so if it's middle depending on length of name it's 6, but if it's asking depending on number of people who have the name it's 3.

What is the determinant of the coefficient matrix of the system {4x+3y+2z=0 -3x+y+5z=0 -x-4y+3z=0

Answers

Answer:

  130

Step-by-step explanation:

You want the determinant of the matrix ...

  [tex]\left[\begin{array}{ccc}4&3&2\\-3&1&5\\-1&-4&3\end{array}\right][/tex]

One way to figure it is as the difference between the sum of products of the down-diagonals and the sum of products of the up-diagonals:

  D = (4)(1)(3) +(3)(5)(-1) +(2)(-3)(-4) -(-1)(1)(2) -(-4)(5)(4) -(3)(-3)(3)

  = 12 -15 +24 +2 +80 +27

  D = 130

The determinant of the coefficient matrix is 130.

_____

Many scientific and graphing calculators and web sites can perform this calculation for you.

What is the volume of a sphere with a radius, r = 0.5?
Use 3.14 for and be sure you round your answer to two decimals.

Answers

Answer:

0.52 cubic units

Step-by-step explanation:

[tex]V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times {(0.5)}^{3} \\ \\ = \frac{4}{3} \times 3.14 \times 0.125 \\ \\ = \frac{1.57}{3} \\ \\ = 0.523333333 \\ \\ = 0.52 \: {units}^{3} \\ [/tex]

A ball-shaped like a sphere has a radius of 2.7 cm. Which measurement is closest to the volume of the ball in cubic cm?
and tell explanation of the answer.

Answers

Answer:

Step-by-step explanation:

V = 4/3 * pi * r^3

V = 4/3 * 22/7 * 2.7^3

V = 82.5 cm^3

Using the cards,create an improper fraction that is: a) b) c) d) e)

Answers

A I hope this helps

Two times the length plus two times the width is twenty six.
(As an equation)

Answers

Answer:

2L + 2W = 26 or L + W = 13

Step-by-step explanation:

Assume L is length and W is width.

2 times length = 2L

plus = "+"

2 times width = 2W

is = "="

twenty-six = 26

Which point is an intercept of the quadratic function
x) = (x-8)(x+9)
(0,8)
(0,-8)
(9,0)
(-9,0)​

Answers

Answer:

Step-by-step explanation:

x intercepts are points on the graph when the graph crosses the x axis, that is, when y is 0. if y is a sum of a product, then it is 0 when one of its factors is 0.

it's factors are:

x-8 (so x is 8)

x+9 ( I assume that the missing sign is a plus) (x would be -9)

this means that it's x-intercept  is (-9,0) - only this option includes the intercept.

The other intercept is (8,0) BRAINLIEST LOL :)

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