Translate the sentence into an inequality.

Five subtracted from b is less than or equal to 16.

Answer:

the third one

Step-by-step explanation:

Answer:

In this case since you have fraction you must make sure the limit x value does not make the denominator 0. In this case it does, so you have to factor the expressions to try to cancel out like terms when dividing. Use the method of factoring polynomials to find the solution. It is too late for me but I told you how you can answer it. Once you can plug in 2 into the denominator and not get 0, you can evaluate the limit. Keep practicing!

Step-by-step explanation:

Answer:

A and A

the equation of a parabola in vertex form is

y = a(x - h)² + k

where ( h, k ) are the coordinates of the vertex and a is a multiplier

y = - 2(x + 3)² + 2  is in this form

with vertex = ( - 3, 2)

To find the y-intercept let x = 0

y = - 2(3)² + 2 = - 18 + 2 = - 16

Similarly

y = - 2(x + 2)² + 2 is in vertex form

vertex = ( - 2 , 2)

x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept

hope this helped

Answer:

The correct option is;

B. Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C

Step-by-step explanation:

Given that an onloaded die has equal chances of getting either 1 or 2 or 3 or 4 or 5 or 6, the chances of getting a particular score is therefore 1/6

and the probability of getting a 1 or 2 = 1/6 + 1/6 = 2/6 = 1/3

Therefore, given that the probability, P[tex]_{door}[/tex] of opening door A, or door B, or door C is the probability of selecting 1 out of 3 given as follows;

P[tex]_{door}[/tex](door A) = 1/3

P[tex]_{door}[/tex](door B) = 1/3

P[tex]_{door}[/tex](door C) = 1/3

Therefore, given that the probability of selecting either door A or door B or door C is equivalent to the probability of getting a 1 or 2, or a 3 or 4, or a 5 or 6 on a die.

Answer:

Its B: Rolling a die; 1 or 2 represents door A, 3 or 4 represents door B, and 5 or 6 represents door C.

Step-by-step explanation:

They have to be evenly probable so its B

edge 2020

Answer:

16. H

17. C

18. G

Answer:

840

Step-by-step explanation:

840&*67---***&%%%%%:

3.864×10⁵ is the product of 840 and 4.6×10² in scientific notation

Multiplication is a method of finding the product of two or more numbers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form.

We need to find the product of 840 and 4.6×10²

Eight hundred forty into four point six into ten to the power of two.

840× 4.6×10²

3864×10^2

Divide and multiply by 1000

3.864×10^5

Hence 3.864×10⁵ is the product of 840 and 4.6×10²

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9,2.5,-4,-10.5,-17

Let's find the difference between two consecutive terms

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer:

The common difference between 9, 2.5, –4, –10.5, –17, ...

Is –6.5

Step-by-step explanation:

Because,

2.5 - 9 = -6.5

-4 - 2.5 = -6.5

-10.5 - (-4) = -6.5

-17 -(-10.5) = -6.5

We can see that the common difference is -6.5

-6.5 is the common difference between successive terms in the sequence 9,2.5,-4,-10.5,-17

the common difference is negative because we subtract 6.5 to get the next term.

Answer:

|x-65|=30

Step-by-step explanation:

You are expecting 65 people, but usually 30 people come.

This equation works best since you can find both the minimum and maximum.

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

The absolute function is also known as the mode function. The value of the absolute function is always positive.

The absolute function is given as

f(x) = | x |

The expected attendance at a school event is 65 people. The actual attendance can vary by up to 30 people. Then the absolute function of the equation is given as,

|x - 65| = 30

The equation can you use to find the minimum and maximum attendances will be |x - 65| = 30.

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Answer:

a) 18.8

b) 20

I hope this helps :) Let me know if it's right!

Answer:

17.1

Step-by-step explanation:

Given parameters:

   Scores of Colins:

            1, 25, 27, 3, 23, 25, 5, 9, 26, 27

A. Colin's mean score;

   The mean is the sum of all values divided by the number of values in a given set;

 Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]

  Mean = [tex]\frac{171}{10}[/tex]

 Mean score = 17.1

Answer:

y=4x+2

I know this already i learned this 3 years ago

Answer:

The equation would be y=4x+2

Step-by-step explanation:

The equation of a slope is y=mx+b, with the slope replacing m, and the Y intercept replacing b.

Answer:

B=3

Step-by-step explanation:

Answer:

About $20.30

Step-by-step explanation:

$466.90 divided by 23.

Answer:

The 1st Graph: -4/1

2nd Graph 1/3

Step-by-step explanation:

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

Answer:

Slope = -60 miles per hour

y-intercept = 300 mi.

Equation of the line → y = -60x + 300

Step-by-step explanation:

Let the equation representing relation between the distance to beach and time taken is,

y = mx + b

Where, m = slope of the line = Average speed of Kate

y = Distance to the beach

x = time taken

b = Distance from the beach at t = 0

Slope of a line joining points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,

m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Slope the line joining (5, 0) and (0, 300),

Slope 'm' = [tex]\frac{300-0}{0-5}[/tex] = -60 miles per hour

y intercept 'b' = 300 mi.

So the equation will be,

y = -60x + 300

Answer:

Option 3

[tex]y=-\frac{1}{4} x-1[/tex]

Step-by-step explanation:

[tex]y=mx+b[/tex]

where m = slope, and b = y intercept

The y intercept is -1. That is because the given line intersects the y axis at the point (0,-1)

The slope is -1/4

That is because it goes up one, and right -4. That means it goes up 1 and left 4.

Answer:

a = -3

Step-by-step explanation:

-7a-3=18

Add 3 to each side

-7a-3+3=18+3

-7a = 21

Divide each side by -7

-7a/-7 = 21/-7

a = -3

Answer:

a= -3

Step-by-step explanation:

[-7a - 3 = 18]

Add 3 to both sides

[-7a=21]

Divide both sides by -7

[a= -3]

Answer:

y = 1x - 5

m = 1, b = -5

Step-by-step explanation:

This equation that we are solving form is known as slope intercept form: y = mx + b.

Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.

The standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

To write a polynomial in its standard form, we first simplify then write the terms in an descending order.

Given the polynomial; 9x² + 5x + 27 + 2x³

First, we move the constant 27 to the right end of the expression

9x² + 5x + 2x³ + 27

Next, we move 2x³ left end of the expression

2x³ + 9x² + 5x + 27

Therefore, the standard form of the given polynomial ( 9x² + 5x + 27 + 2x³ ) is 2x³ + 9x² + 5x + 27.

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Answer:

the  answer is 8

Step-by-step explanation:

BC

Answer:

8

Step-by-step explanation:

18-inches is 1.5 feet.

Answer:

[tex]A' =(-y,x)[/tex]

Step-by-step explanation:

Given

Represent point A as thus;

[tex]A = (x,y)[/tex]

Required

Determine the new position of A, when rotated counterclockwise

The new position will be denoted as A'

When a point is rotated counterclockwise, we start by switching the positions of x and y as follows:

[tex]Pos = (y,x)[/tex]

Then, y is negated to give A'

[tex]A' =(-y,x)[/tex]

Answer:

-39

Step-by-step explanation:

Answer:

-23

Step-by-step explanation:

You just plug in 4 for x. So it'd be -2(4)2-7

So, you have -8(2)-7

Then: -16-7, which gives  you -23

Answer:

88%

Step-by-step explanation:

22/25 = .88 x 100= 88%

Answer:

88%

Step-by-step explanation:

First, you start with the bottom (denominator). You turn it into 100 since all percentages are over 100. So 25 times 4 is 100. Therefore, you also have to multiply the top with a 4, getting an 88 over 100. That is equal to 88%.

Answer:

80% passed

Step-by-step explanation:

1. 24 out of 30 passed

2. In order to make it a % you have to multiply

3. 100 * 24/30

4. = 2400/30

5. Therefore the answer is 80

Answer:

The domain is (-∞ , ∞)

The domain is continuous

Step-by-step explanation:

Here, we want to identify the domain of the linear function

The domain in this case can be represented by the set of all real numbers.

When we talk of the domain of a function, we are simply referring to the the range of values between the smallest value on the x-axis and the largest number on the x-axis

Hence, mathematically, we are simply considering the smallest value of b up to the largest value of b in this case. Where b simply represents the number of books

Thus, the domain here will be (-∞ , ∞)

On if the domain is discrete or continuous, we can see that the domain is continuous.

The domain is continuous simply because, the domain we have contains all the values and not some in the set of real numbers. If it had contain only some, then it would have been discrete. But since it contains all, it is continuous

Answer:

45

Step-by-step explanation:

7 x 4 - 5 x 5 + 9 (2/3 + 4)

28 - 25 + 9 x 14/3

28 -25 + 3 x 14

28 - 25 + 42

45

Answer:

45

Step-by-step explanation:

Given

7w - 5z + 9([tex]\frac{2}{3}[/tex] + w) ← distribute parenthesis

= 7w - 5z + 6 + 9w ← collect like terms

= 16w - 5z + 6 ← substitute w = 4, z = 5 into the expression

= 16(4) - 5(5) + 6

= 64 - 25 + 6

= 45