Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?

Answer:

Step-by-step explanation:

For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.

Since x-1 is a factor, we can get the value of x

x-1 = 0

x =0+1

x = 1

Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero

For A(x)=3x^3+2x^2-x

A(1) = 3(1)^3+2(1)^2-(1)

A(1) = 3+2-(1)

A(1) = 5-1

A(1) = 4

Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.

For B(x)=5x^3-4x^2-x

B(1)=5(1)^3-4(1)^2-1

B(1)=5-4-1

B(1)=1-1 = 0

Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x

For the polynomial  C(x)= 2x^3-3x^2+2x-1

C(1)=2(1)^3-3(1)^2+2(1)-1

C(1)=2-3+2-1

C(1)= -1+1

C(1)= 0

Since C(1) = 0, hence x-1 is divisible by the

For the polynomial D(x)=x^3+2x^2+3x+2

D(1)=1^3+2(1)^2+3(1)+2

D(1)=1+2+3+2

D(x) = 8

Hence the polynomial D(x) is not divisible by x-1

Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1

Answer:

B(x) and C(x)

Step-by-step explanation:

Answer:

The answer is true.

Step-by-step explanation:

[tex] \frac{4}{6} = \frac{14}{21} \\ 84 = 84[/tex]

Because the last equation, 84=84, is true, then the ratios are true.

Answer:

8 in each row

Step-by-step explanation:

Answer:

5 is the answer to the question

Answer:

0.66 or 0.67 rounded

Step-by-step explanation:

2/3=

0.66

Answer:

0.6 or 0.666666666666666666666

Answer:

78

Step-by-step explanation:

Answer:

pretty sure it's 8 if I'm not mistaken

Answer:

Check explanation below.

Step-by-step explanation:

For this, Ill assign X the value of 2.

(2+2)=(2^2+4)

[tex]4\neq 8[/tex]

Answer:

Step-by-step explanation:

[tex]1.5x+3.75≥5.5[/tex]

First of all subtract 3.75 from both sides of the equation

That's

[tex]1.5x + 3.75 - 3.75 \geq5.5 - 3.75 \\ 1.5x \geq1.75[/tex]

Divide both sides by 1.5

[tex] \frac{1.5x}{1.5} \geq \frac{1.75}{1.5} \\ [/tex]

We have the final answer as

Hope this helps you

Answer:

1.5

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

---------------

24÷2=12

12+7=19

---------------

Answer:

c is the answer

Step-by-step explanation:

Answer:

y=mx+b

Step-by-step explanation:

==================================

Work Shown:

(1 inch)/(3.5 miles) = (x inches)/(77 miles)

1/3.5 = x/77

1*77 = 3.5*x ..... cross multiply

77 = 3.5x

3.5x = 77

x = 77/3.5

x = 22

22 inches on paper correspond to 77 miles in real life.

Answer:

[see below]

Step-by-step explanation:

Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.

13 + 48 = 61

She should have 61 boxes in total.

Hope this helps.

Answer:

84°

Step-by-step explanation:

I know that the other angle (not x) is 48 because the lengths are the same of 2 sides. Therefore I can use 180-48-48 to get 84, the correct answer.

The function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2

The function is given as:

f(x) = x^2

An horizontal translation is represented using:

f'(x) = (x ± h)^2

Where h does not equal to 0

From the list of options. we have:

g(x) = (x - 4)^2

Hence, a function that represents the horizontal translation of the parent function is (b)g(x) = (x - 4)^2

Read more about translation at:

https://brainly.com/question/4289712

#SPJ9

Answer:

111 cm squared

Step-by-step explanation:

15x 7.4

x-intercept: 4

y-intercept: 20

Answer:

Step-by-step explanation:

x-intercept: 4

y-intercept: 20

Given :

Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile.

In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. y = $0.17x + $15.89 .....1)

To Find :

How much did Hans pay for his trip.

Solution :

x = 450 miles.

Putting value of x in equation 1 we get :

y = $(0.17×450 + 15.89)

y = $(76.5+15.89)

y = $92.39

Therefore, Hans will pay $92.39 for his trip.

Hence, this is the required solution.

Answer:

Yes, Samuel's Dart does land on the dartboard.

Step-by-step explanation:

The diameter of the dartboard = 18 inches

∴ The radius of the circle = 9 inches = 0.75 feet

The coordinate of the bull's-eye = 11 feet from the left wall, 5 feet 8 inches from the ground

∴ The coordinate of the bull's-eye = (11, 5.67)

The position of the dart Samuel throws = 11.5 feet from the left wall, 5.5 feet from the ground

∴ The coordinates of the position of the dart Samuel throws = (11.5, 5.5)

The equation for the area of a circle is given as follows;

(x - h)² + (y - k)² = r²

Where;

(h, k) = The coordinates of the center

r = The radius

Given that the bull's-eye is the center of the circle formed by the dartboard of radius 9 inches, we have;

(h, k) = The coordinates of the center

For the dartboard, we have;

(h, k) = The coordinates of the center = The coordinate of the bull's-eye = (11, 5.67)

h = 11, k = 5.67

∴ The equation of the circle formed by the dartboard = (x - 11)² + (y - 5.67)² = 0.75² = (3/4)² = 9/16

The square of the distance of the dart Michael throws from the bull's eye = (11.5 - 11)² + (5.5 - 5.[tex]\overline 6[/tex]7)² = 5/18

Therefore, given that the square of the distance of the dart Michael throws from the bull's eye < The square of the radius of the circle formed by the dart board and that the center of the, where the length of both the position of Samuel's dart and the radius of the circle formed by the dartboard are measured from the same point, (the center of the circle) we have;

The position of Samuel's dart is on the dart board

Therefore;

Yes, Samuel's Dart does land on the dartboard.

Answer:

e:

ratio is smaller then number 1

so is between 0 and 1

Answer:

.95-1.05

Step-by-step explanation:

you are able to go above 0.05 or below 1 by 0.05

since it's 95% of 1

Answer:

.05

Step-by-step explanation:

It's simple really. It's finding 5% of 1.

First you change the percent to a decimal. 5%= .05

Next you multiply .05 times 1 which is obviously 1. :)

Answer:

The equation is y=mx+b in this case the b represents the y int and does not aid in detemining steepness. To determine the steepest, the value of m (or the slope) rise/run must be either the most positive number or the most positive negative. in this case you have 2/1 , 7/1. 5/1.

So y==7x+3 has the steepest (greatest value)  slope

Step-by-step explanation:

The equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

The formula for finding the equation of a line is expressed as y = mx + b

m is the slope of the line

b is the y-intercept

The line that will be the steepest must have the largest slope.

Looking at the equation y = 7x +3

Get the slope by comparing to have;

mx = 7x

m = 7

Since the equation has the greatest slope which is 7, hence the equation of the line y = 7x + 3 is the steepest

Learn more here: https://brainly.com/question/12922257

3x-9x²

Factor out 3x from the expression

Answer: 3x^ x(1-3x)