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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.

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

Answer:

C. 8.7 m/s

Step-by-step explanation:

Answer:

8.7 m/s

Step-by-step explanation:

correct on edge 2021

Answer:

\the second and third one

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.

Answer:

x=-5

y=2

z=-4

Step-by-step explanation:

we can solve this by elimination and substitution method.

Answer: 8:11

Step-by-step explanation:

Answer: D volume

Step-by-step explanation:

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)

I believe the answer is 1/5 sorry if this is wrong!

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.

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.

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

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

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

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:

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

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:

Answer:

14

Step-by-step explanation:

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:

Answer:

9

Step-by-step explanation:

f(x) = 4x- 11

f(5) = 4(5) - 11

f(5) = 20- 11

f(5) = 9

Step-by-step explanation:

God said "let there be light" The people who made the calendar said "Let there be Friday 13th.

Answer:

They are all right

Step-by-step explanation:

Answer:

3. 3g/mL

4. 11 g/mL

5. 5mL

6. 500g

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

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

Answer:

[tex] - 29[/tex]

Step-by-step explanation:

[tex] - 29 {m}^{2} \\ - 29( - 1 {)}^{2} \\ - 29(1) \\ - 29[/tex]

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.