What is the remainder when 3 is synthetically divided into the polynomial
-2x + 7x - 9?

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Explanation:

Let's solve (x-2)(x-5) = 0 and doing so leads to x = 2 or x = 5. Plugging either value in for x makes the expression (x-2)(x-5) become 0.

Let's pick a value to the left of x = 2, let's say we pick x = 0. Plug this into the expression (x-2)(x-5) and we get the following:

(x-2)(x-5)

(0-2)(0-5)

(-2)(-5)

10

The result is a positive number, meaning that (x-2)(x-5) is positive when we select a value smaller than 2.

Now we'll repeat this with a value between 2 and 5. Let's say we pick on x = 3.

So,

(x-2)(x-5)

(3-2)(3-5)

(1)(-2)

-2

The result is negative, so (x-2)(x-5) is negative when 2 < x < 5. This immediately rules out choices C and E.

Unfortunately, answer choices B and D won't work either for similar reasoning. The only thing left is choice A.

Side note: The answer in interval notation is [tex](-\infty, 2] \cup [5, \infty)[/tex] so basically it's everything but values between 2 and 5; however, x = 2 and x = 5 are part of the solution set.

Another side note: if you flip the inequality sign from [tex]\ge[/tex] to [tex]\le[/tex], then the answer would be choice C.

Answer:

-3-2x

Step-by-step explanation:

good luck, have a good day:)

Answer:

[tex]x = 10[/tex]

Is the right answer.

Answer:

The number of

Single scoop cones = s = 9

Double scoop cones = d = 6

Step-by-step explanation :

Let t he number of

Single scoop cones = s

Double scoop cones = d

A single-scoop cone was $3 and a double-scoop cone was $5. The coach bought 15 cones and paid $57.

The system of equation

= s + d = 15.. Equation 1

s = 15 - d

3s + 5d = 57.... Equation 2

We substitute 15 - d for s

3(15 - d) + 5d = 57

45 - 3d + 5d = 57

Collect like terms

- 3d + 5d = 57 - 45

2d = 12

d = 12/2

d = 6

Solving for s

s = 15 - d

s = 15 - 6

s = 9

Therefore,

The number of

Single scoop cones = s = 9

Double scoop cones = d = 6

Answer:

The mean would be 85 :)

Step-by-step explanation:

Answer:

10 ≥ 2(2.99) + 0.67b  

10 ≥ 5.98 + 0.67b

4.02 ≥ 0.67b

6 ≥ b

David can buy 6 pounds of bananas at most.

Step-by-step explanation:

Its A OR B

make me brainest please

Answer:

huh i am very confused

Step-by-step explanation:

Answer:

sorry

Step-by-step explanation:i need points

Answer:

square units , cube units

Answer:

33.33%

Step-by-step explanation:

The line of best fit for the data is represented by the equation y = 3x + 15.

At x = 4,

y = 3(4) + 15 = 27

At x = 7,

y = 3(7) + 15 = 36

We need to find the percent change in the total number of trees from x = 4 to x = 7.

So,

[tex]\%=\dfrac{36-27}{27}\times 100\\\\=33.33\%[/tex]

So, the required percentage change is equal to 33.33%.

Answer:

Step-by-step explanation:

Let s represent the length of each of the three sides mentioned.  The length of the fourth side is 7 inches.  Adding the lengths of the four sides together yields 10 inches:  g + g + g + 7 = 10 (inches)

Then 3g + 7 = 10, or 3g = 3, or g = 1.  

This equation is OK, but there's no solution, since 3g or just 3 is less than 7.  With side lengths 1, 1, 1, 7, we cannot draw a quadrilateral.

Rectangle area = length × width

Rectangle area = ( 7x - 2 )( 3x + 4 )

Rectangle area = 21x^2 + 22x - 8

Thus the correct answer is option D .

Answer:

15

Step-by-step explanation:

25^2-20^2=225

sqrt 225=15

Answer:

11/8 is a fraction for 137 but it is in the simplest form as a fraction...

Step-by-step explanation:

%?

Answer:

x = 4

y = 1

Step-by-step explanation:

x = 3y + 1 (Multiply everything by -2)

2x + 4y = 12​ (Transfer 4y to the right of the = sign)

2x = -4y + 12

-2x = -6y - 2

0 = -10y + 10

-10 = -10y

y = 1

x = 3y + 1

x = 3(1) + 1

x = 3 + 1

x = 4

Answer:

cube

Step-by-step explanation:

The shape in the middle of the two rectangular prism would be a cube. This is the case since the angle at the base of the rectanglular prism forms a 90-degree angle. This indicates that the line is a straight line and would also form a 90-degree angle with the bottom angles as well. This would ultimately indicate that it forms a square, and since the shape is a 3-Dimensional shape it would be classified as a cube in this image.

Answer:

Triangular Prism

Step-by-step explanation:

The middle shape is a rectangular prism.

The top and bottom is a Triangular Prism.

Answer:

2

Step-by-step explanation:

Answer:

D. left-handed = 00–14, right-handed = 15–99

Step-by-step explanation:

Got it right on edge 2021

Answer:

The definite integral expressing the total quantity of oil, 'V', which leaks out of the tanker in the first hour is given as follows;

[tex]V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt[/tex]

Step-by-step explanation:

From the question, we have;

The rate at which oil leaks out of the tanker, r = f(t)

The unit of the oil leak = Liters per minute

The unit of t = Minutes

[tex]If \ f(t) = A \cdot e^{(-k \cdot t )}[/tex]

Therefore, we have;

The definite integral expressing the total quantity, 'V', of oil which leaks out of the tanker in the first hour is given as follows;

[tex]V = \int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt[/tex]

Therefore, we have;

[tex]\int\limits^{60}_0 {A \cdot e^{(-k \cdot t)}} \, dt = \dfrac{A \cdot e ^{60 \cdot k} - A}{k \cdot e ^{60 \cdot k} }[/tex]

Answer:

$3,650 in total

Step-by-step explanation:

If you calculate

Answer:

She can make 6 pies.

Answer:

She can make 6 pies.

Step-by-step explanation:

Subtract 9-1.5=7.5

then 7.5/1.25= 6.04

Where is the image?

Without an image this would be unanswerable

Answer:

40

Step-by-step explanation:

(120 - 40)/2 = 80/2 = 40

Answer:

A box and whisker plot—also called a box plot—displays the five-number summary of a set of data. ... In a box plot, we draw a box from the first quartile to the third quartile. A vertical line goes through the box at the median. The whiskers go from each quartile to the minimum or maximum.