Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?

Answer:

length, width, and height are (b+2), (b-2), (b+3)

Step-by-step explanation:

Doing what the problem statement tells you to do, you get ...

 (b^3 +3b^2) -(4b +12)

 = b^2(b +3) -4(b +3) . . . factor each pair of terms

 = (b^2 -4)(b +3) . . .  write as a product

 = (b -2)(b +2)(b +3) . . . use the factoring of the difference of squares

The three factors are (b-2) , (b+2) , and (b+3). We have no clue as to how to associate those with length, width, and height. We just know these are the dimensions of the box.

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

A prism is a three-dimensional object.

There are triangular prism and rectangular prism.

We have,

To find the possible dimensions of the prism, we need to factor the given volume expression into three factors, each representing the length, width, and height of the box.

We start by looking for common factors among the coefficients of the three terms:

45x³ + 198x² + 189x

= 9x (5x² + 22x + 21)

Now we can factor the quadratic expression inside the parentheses:

5x² + 22x + 21

= 5x² + 15x + 7x + 21

= 5x(x + 3) + 7(x + 3)

= (5x + 7) (x + 3)

The volume expression can be factored as:

45x³ + 198x² + 189x

= 9x (5x + 7) (x + 3)

Thus,

The possible dimensions of the prism are:

Length: 9x, 5x + 7, or x + 3

Width: 5x + 7, x + 3, or 9x

Height: x + 3, 9x, or 5x + 7

Learn more about prism here:

https://brainly.com/question/12649592

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Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

Given

Conjecture: [tex]x + 3 < x^2[/tex] --- (Missing)

Required

Which value of x prove the conjecture otherwise

To do this , we simply substitute the values of x in the options

[tex]1.\ x = -\frac{1}{3}[/tex]

This is negative;

So, there is no need to check

[tex]2.\ x = -3[/tex]

This is also negative;

So, there is no need to check

[tex]3.\ x = 2[/tex]

[tex]x + 3 < x^2[/tex]

[tex]2 + 3 < 2^2[/tex]

[tex]5 < 4[/tex]

This value of x is false because 5 is not less than 4

[tex]4.\ x = 3[/tex]

[tex]x + 3 < x^2[/tex]

[tex]3 + 3 < 3^2[/tex]

[tex]6 < 9[/tex]

Answer:

-4

Step-by-step explanation:

When we talk of the horizontal translation, we are dealing with a change in the x value

Initially we had x alone while we had x-4 in the second

What this mean is that there is a change of -4

Answer:

Step-by-step explanation:

i put -4 and wrong, pretty sure its 4

Answer:

Step-by-step explanation:

The answer would be 5 because 14/7=2 and 6/3=2 and 10/ 2 =5 so 5

Answer:

median is 3.9

Step-by-step explanation:

You arrange them all from the smallest to the biggest, then cross out pairs from each side till you get the one in the middle

0.8, 2.6, 2.8, 3.5, 3.9, 4.6, 6.8, 8.5, 8.6

Answer:

11miles

Step-by-step explanation:

1mile≈1,61km

so 17/1,61=10,56≈11miles

Answer:

10.56 (rounded)

(whole number is 10.5633)

Step-by-step explanation:

1 kilometer = 0.62 miles (rounded)

Multiply it by 17

=10.56 (rounded)

(whole number is 10.5633)

Answer:

$30

Step-by-step explanation:

10 % of 150 is 15

20% is 30

hope this helps...

Answer:

30$

Step-by-step explanation:

To find 20% of 150$ you have to first make 20% a decimal and then multiply by 150$.

To do this:

150 (0.2) = 30

Answer:

912 divided byt he square root of AB to 5^2

Step-by-step explanation:

Answer:

AB to 5^2

Step-by-step explanation:

Flattykawa -_-

Answer:

-18

Step-by-step explanation:

Step 1 - divide the numerator and denominator by 18

-324÷18 / 18÷18

Step 2 - divide the numbers

-18 / 18÷18  

-18/1

any expression divided by 1 remains the same

-18

Answer:

9

Step-by-step explanation:

if you have two negatives next to eachother, the equation now adds like 5+4. 5+4=9

Answer: de

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

Answer:

-2/1

Step-by-step explanation:

Answer:

do you have 12 as an answer?

Answer:

5.567764363 or rounded off to two decimal places 5.57

Step-by-step explanation:

Calculator

Answer:

x = t - p

Step-by-step explanation:

p + x = t

subtract p from both sides.

x = t - p

Answer:

1/6

Step-by-step explanation: in a rate you need to make it a one so you double the 1/2 gallon to make it one gallon then since you doubled that you have to double the days to 6. So they drink 1 gallon per 6 days.

Answer:

480

Step-by-step explanation:

12*4=48 then add a zero to the end of it

hope that helps!

happy new year!

Answer:

Lance has 480 comic books.

Step-by-step explanation:

Multiply 12 by 40:)

Answer:

2 k 3 − 3 k 2 − 2 k

Step-by-step explanation:

Answer: ...

2k^3−3k^2−2k

Answer:

12

Step-by-step explanation:

(5+2)^2 - 40 + 3

= 7^2 - 40 + 3

= 49 - 40 + 3

= 49 - 40

= 9+3

= 12

Answer:

Step-by-step explanation:

7

Answer:

7

Step-by-step explanation:

3.5 divided by .5

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

can i get brainliest plz

Answer:

lesser x: - 6

greater x: 2

Step-by-step explanation:

f(x) = (x + 2)² – 16

(x + 2)² – 16 = 0

(x + 2 + 4) (x + 2 - 4) = 0

(x + 6)(x - 2) = 0

roots (zero): x = -6 or x = 2

Answer:

Positive, Upward Slope.

Step-by-step explanation:

Answer:

the slope of a line shows how steep a straight line is, or the direction of a straight line

Answer:

no the answer is 7.....

Answer:7

Step-by-step explanation:

27 divided by 3 is 9.

so

21 divided by 3 will give u the answer which is 7.

Answer:

See photo

Step-by-step explanation:

Answer:

0.6% of the people had a mild allergic reaction.

Step-by-step explanation:

Given that:

Number of people who tried hair care products = 6000

Number of people who had reaction = 36

Percent of people = [tex]\frac{Number\ of\ people\ with\ reactions}{Total\ number}*100[/tex]

Percent of people = [tex]\frac{36}{6000}*100[/tex]

Percent of people = 0.6%

Hence,

0.6% of the people had a mild allergic reaction.