1. quotient
2.remainder
3. a factor
4. 5
Step-by-step explanation:
i just took the test
The expression (x + 5) is a factor of given function f(x).
So the remainder of the function will be zero.
Remainder theorem:The given function is,
[tex]f(x) = x^3 + 3x^2 - 25x - 75[/tex]
We have to check (x + 5) is a factor of the given function.
Equate (x + 5) is equal to 0.
x + 5 = 0
x = -5
Substitute x = -5 in given equation.
[tex]f(-5)=(-5)^3+3(-5)^2-25(-5)-75\\\\f(-5)=-125+75+125-75\\\\f(-5)=0[/tex]
Since f(-5) = 0. Therefore, (x + 5) is a factor of given function f(x).
Learn more about the remainder theorem here:
https://brainly.com/question/13328536
Plz help (wil give brainliest to best answer)
Answer:
A: Corresponding
B: Alternate interior
C: Corresponding
D: Alternate exterior
E: Same side interior
Step-by-step explanation:
A: One angle is on the interior and one is on the exterior and they are both on the same side of the transversal which makes them corresponding angles
B: Both are in the interior just on opposite sides of the transversal
C: See answer to A
D: Both are on the exterior and they are on opposite sides of the transversal which makes them alternate exterior
E: Both are on the interior on the same side of the transversal which makes them same side interior.
PLEASE PLS ANSWER ASAP
Answer:
[tex] - 29[/tex]
Step-by-step explanation:
[tex] - 29 {m}^{2} \\ - 29( - 1 {)}^{2} \\ - 29(1) \\ - 29[/tex]
The length of the garden is 10 feet more than twice its width. The perimeter of the garden is 170 feet.
What are the length and width of the garden?
Answer:
The width of the garden is 25 feet
The length of the garden is 60 feet
Step-by-step explanation:
The formula for the perimeter of a rectangle
= P = 2L + 2W
Where L = Length, W = Width
The length of the garden is 10 feet more than twice its width.
P = 170
L = 2W + 10
Hence,
170 = 2(2W + 10) + 2W
170 = 4W + 20 + 2W
Collect like terms
170 - 20 = 6W
150 = 6W
W = 150/6
W = 25 feet
The width of the garden is 25 feet
Remember
L = 2W + 10
L = 2(25) + 10
L = 50 + 10
L = 60 feet
The length of the garden is 60 feet
What Student starts Farther away
Matthew’s bed takes up 1/3 of the width of his bedroom and 3/5 of the length. What fraction of the area of the floor does Matthew’s bed take up?
I believe the answer is 1/5 sorry if this is wrong!
6
1
1 point
If f(x) = 4x – 11, what is the value of f(5)?
O 20. – 55
0 4
O 9
O 34
2
3
Answer:
9
Step-by-step explanation:
f(x) = 4x- 11
f(5) = 4(5) - 11
f(5) = 20- 11
f(5) = 9
Please help I’m terrible at math
Question 13
1 pts
Suppose that the water level of a river is 33 feet and that it is receding at a rate
of 0.5 feet per day. What would the water level be after 15 days? Round your
answer to the nearest tenth.
Answer:
25 1/2 feet
Step-by-step explanation:
Answer:
25.5 ft
Step-by-step explanation:
Starting level: 33 ft
Each day the water recedes 0.5 ft.
Now we calculate the number of ft the water recedes in 15 days.
15 days * 0.5 ft/day = 7.5 ft
In 15 days, the water recedes 7.5 ft.
Level of water after 15 days:
33 ft - 7.5 ft = 25.5 ft
Answer: 25.5 ft
Explain why every year must contain at least one Friday the 13th.
Step-by-step explanation:
God said "let there be light" The people who made the calendar said "Let there be Friday 13th.
hi, can someone pls double-check my answers and let me know if I got any wrong?? :)
1. the sum of 6 and t = 6 + t
2. the product of y and 11
3. the difference of 4 from 12
4. the quotient of 6 divided by t
5. 19 less than 25
6. increase s by 2s
7. decrease 11 by r
8. add 6 times x and 2 times s
9. the quotient of 17 minus 12 and 2
10. the product of 3 and x less 10
11. the product of 7 and 2 divided by 2
Answers: 1. 6 + t
2. 11y
3. 4 - 12
4. 6 / t
5. 25 - 19
6. s + 2s
7. 11 - r
8. 6x + 2s
9. (17 - 12) - 2
10. 3x - 10
11. (7 x 2) / 2
Answer:
They are all right
Step-by-step explanation:
helppppppppp please and thank you in advance
Answer:
\the second and third one
There are 11 bananas and 8 peaches in a fruit basket. Write the
ratio of peaches to bananas.
Answer: 8:11
Step-by-step explanation:
Which of the following is not a true bi-conditional statement?
A.) It is noon if only if it is 12:00 PM
B.) An angle is right if and only if it’s measure is 90°.
C.) I am a violinist if and only if I am a musician.
D.) Two segments are congruent if and only if they have the same length.
well a bi conditional statement is a statement that joins P and Q together with ths use of if and only if eg P if and only if Q.
I think the answer is (A) because 12:00pm is not the only noon time. 1pm is also noon so yeah that's why I think its A
please help will give brainliest
X + y + z = 1
2x + 4y + z = 2
- X + 3y
=11
Answer:
x=-5
y=2
z=-4
Step-by-step explanation:
we can solve this by elimination and substitution method.
factor the following quadratic expression:
6x^2 + 17x - 14
Answer:
(2x+7)(3x-2)
Step-by-step explanation:
Answer:
(3x-2) (2x+7)
Step-by-step explanation:
Break the expressions into two groups
(6x^2-4x)+(21+14)
Which of the following is a root of the polynomial shown below?
f(x) = x2 + 2x2 - x-2
O A. 1
OB. 3
O c. O
O D. 2
Answer:
We conclude that option A is true as x = 1 is the root of the polynomial.
Step-by-step explanation:
Given the polynomial
[tex]f\left(x\right)\:=\:x^2\:+\:2x^2\:-\:x-2[/tex]
Let us determine the root of the polynomial shown below.
[tex]\:0=\:x^2\:+\:2x^2\:-\:x-2[/tex]
[tex]0=3x^2-x-2[/tex]
switch sides
[tex]3x^2-x-2=0[/tex]
as
[tex]3x^2-x-2=\left(3x+2\right)\left(x-1\right)[/tex]
so the equation becomes
[tex]\left(3x+2\right)\left(x-1\right)=0[/tex]
Using the zero factor principle
[tex]3x+2=0\quad \mathrm{or}\quad \:x-1=0[/tex]
solving
[tex]3x+2=0[/tex]
[tex]3x=-2[/tex]
[tex]\frac{3x}{3}=\frac{-2}{3}[/tex]
[tex]x=-\frac{2}{3}[/tex]
and
[tex]x-1=0[/tex]
[tex]x=1[/tex]
The possible roots of the polynomial will be:
[tex]x=-\frac{2}{3},\:x=1[/tex]
Therefore, from the mentioned options, we conclude that option A is true as x = 1 is the root of the polynomial.
What do you understand by British system of measurement of angle?
Answer:
well, each right angle is divided into 90 equal parts where each part & it's called degrees
each degree is then divided into 60 equal parts where each part is called a minute
each minute is divided again into 60 equal parts where each part is called a second.
Step-by-step explanation:
While Justin is in training, he is to drink 500 milliliters of water 4 times per day. How many liters of water will that be for one week?
Answer:
14
Step-by-step explanation:
The amount of seed in a bird feeder decreases 10.8 ounces in 5 days. The amount of seed decreases the same amount each day. What is the change in the amount of seed in the feeder in 7 days?
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
Example:
A man can run 3 miles in 60 minutes.
The time to run 1 mile is 20 minutes.
We have,
The rate at which the amount of seed decreases.
10.8 ounces = 5 days
Divide both sides by 5.
10.8/5 ounces = 1 day
Multiply 7 on both sides.
7 x 2.16 ounces = 7 days
15.12 ounces = 7 days
This means that in 7 days, the amount of seed decreases by 15.12 ounces.
Thus,
If the amount of seed in a bird feeder decreases by 10.8 ounces in 5 days.
The change in the amount of seed in the feeder in 7 days is 15.12 ounces.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ5
Nemos aquarium is filled with 2400 cm³ of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium
What measure should be used to find out how much water is needed to fill a large swimming pool that is 8 feet by 12
feet by 6 feet?
O area
O lateral area
O surface area
O volume
Answer: D volume
Step-by-step explanation:
help find missing length will give brainliest!!
Answer:
90
Step-by-step explanation:
An Olympic runner completes the 200-meter sprint in 23 seconds. What is the runner’s average speed? (Round your answer to the nearest tenth of a meter per second.)
0.9 m/s
1.2 m/s
8.7 m/s
10.1 m/s
Answer:
C. 8.7 m/s
Step-by-step explanation:
Answer:
8.7 m/s
Step-by-step explanation:
correct on edge 2021
The graph below plots a function f(x):
If x represents time, the average rate of change of the function f(x) in the first three
seconds is....
Answer:
-50
Step-by-step explanation:
The average rate of change is synonymous with the slope. Therefore, we will find the slope of the function from x=0 to x=3.
So, we will use the endpoints of the function.
At x=0, f(x)=150. Thus, we have the point (0, 150).
At x=3, f(x)=0. Thus, we have the point (3, 0).
Now, we can use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (0, 150) be (x₁, y₁) and let (3, 0) be (x₂, y₂). Substitute:
[tex]m=\frac{0-150}{3-0}=-150/3=-50[/tex]
Therefore, the average rate of change for the first three seconds is -50.
Which line best fits the data?
A. Line B
B. Line C
C. Line A
D. None of the lines fit the data well
Answer:
Line B
Step-by-step explanation:
Line is between a lot of the dots. Even though it's not directly on any of them, it still is around the them
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat
Answer:
Cost of tshirt = £7.29
Cost of what = £0.86
Step-by-step explanation:
2t +3h = 12; 10t + 15h = 60
5t + 4h =33; 10t + 8h = 66
15h -8h = -6
7h = -6; h = -6/7; h = 0.86
2t +3(-6/7) =12
14t -18 = 84
14t = 102; t = 102/ 14; t=7.29
NEED HELP! with these 2?
Step-by-step explanation:
answer,
first one is -5 and the second is 5
hope it helps
Answer: first one is -5
Second one is 5
Step-by-step explanation:
Suzanne needs material for her school project. She buys 5.50 yards of material at $3.87 a yard. What is the total cost of the material? Round to the nearest cent.
*please show your work*
Answer:
i believe it is 21.285 or 21.29 since yo multiply 5.50 times 3.87 to get 21.285
Step-by-step explanation:
HELPP!! this is due today and i’m super dumb all help is appreciated
Answer:
Step-by-step explanation:
all the sides are different than the other on the bottom of the shape the sizes have longer sides and one short at the bottom.
U is a midsegment of AFGH. 1) = 7, FH = 9, and GH= 12. Find the perimeter of AIJH. F
Answer:
perimeter of triangle IJH= 17.5
Step-by-step explanation:
line IJ is a midsegment, so you can divide the segments FH and GH by 2.
that means segment IH= 4.5 and segment GH=6. segment IJ is given as 7.
add 4.5 + 6 + 7, which equals 17.5