The length of a certain rectangular prism is 3 less than twice the width. The height of the same prism is 4 more than
the width. Write an expression to represent the volume of the rectangular prism in terms of width (w).
V=2w? + 5w-12
V= -2w3 + 11w2 + 12w
V=2w3 +5w? - 12w
В.
С.
D
V=4w + 1

Answer:1. (1,2)    2.(-1,0)

Step-by-step explanation:

1.  5x-4(-3x+5)=3  x=1             2. 3(2y-1)-2y=-3    y=0                                                  

y=-3x1+5    y=2 Plug them in                       X=2x0-1            x=-1       plug them in                

Answer:

-1

Step-by-step explanation:

(fg)(x) is the product of f(x) and g(x).

We can find (fg)(4) by first finding f(4) and g(4) and then multiplying the results together:

f(x) = 10 - 3x, so f(4) = 10 - 3(4) = -2, and

g(x) = x - 3/2, so g(4) = 4 - 3/2 = 1/2

Then (fg)(4) = (-2)(1/2) = -1

Answer:

2∛3

Explanation:

∛24=(∛8)(∛3)=2∛3

Hopes This Helps :)

Answer:

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Step-by-step explanation:

[tex]f(x)=-4x+1[/tex]

[tex]f(-\frac{x}{2})=-4(\frac{x}{2})+1[/tex]

[tex]f(-\frac{x}{2})=-2x+1[/tex]

Answer:

First term of the sequence is [tex]11[/tex]

Step-by-step explanation:

Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference

We have

The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]

[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]

The sum of the third and fourth terms of the same sequence is [tex]7[/tex]

[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]

eqn 1 - eq2

[tex]4d=-12\\\\d=-3[/tex]

Substituting in eqn 1

[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]

First term of the sequence is [tex]11[/tex]

Answer:

13.9 ft

Step-by-step explanation:

The answer is B. 3.5, -5.8

Answer:

y=4x+5

Step-by-step explanation:

The number of races the team need to win today for the team to have a 75% success rate is 15

Number of attempt = 45

Number of winnings = 30

Percentage won so far = 30/45 × 100

= 66.67%

let

x = Number of races that tfe team needs to win to have 75% success rate

(30 + x) / (45 + x) = 0.75

Cross product

30 + x = 0.75(45 + x)

30 + x = 33.75 + 0.75x

x - 0.75x = 33.75 - 30

0.25x = 3.75

x = 3.75 / 0.25

x = 15

Therefore, the number of races the team need to win today for the team to have a 75% success rate is 15

Learn more about percentage:

https://brainly.com/question/7225231

Answer:

y=-5x+2

Step-by-step explanation:

rise/run

or

y2-y1/x2-x1

-8-(-3)/2-1

-8+3/2-1

-5/1=m=slope

Slope intercept formula:y=mx+b

use point (1,-3)

-3=-5(1)+b

-3=-5+b

+5 +5

2=b

Final Answer: y=-5x+2

The change Katelyn should receive from the $50 bill is $11.37.

The first step is to determine the total cost of the purchase.

Total cost of the 4 pounds of apples = $1.79 x 4 = $7.16

Total cost of six navel oranges = ($5 / 4) x 6 = $7.50

Total cost of  two mangoes = $1.50 x 2 = $3

Total cost of three watermelons = $5.99 x 3 = $17.97

Total cost of the fruits = $35.63

Total cost of the order = $35.63 + $3 = $38.63

Change = $50 - $38.63 = $11.37

To learn more about total cost, please check:  https://brainly.com/question/25717996

Answer:

42 cm is the perimeter

Step-by-step explanation:

Brainleast answer mo nalang

Answer:

P = 42 cm

Step-by-step explanation:

The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.

Given width = 7 cm then length = 2 × 7 = 14

P = 7 + 7 + 14 + 14 = 42 cm

Answer:

fluid space that contains DNA, ribosomes, and other enzymes

Step-by-step explanation:

B is points towards the "empty" space, meaning its Stroma.

Stroma defintion: involved in the synthesis of organic molecules from carbon dioxide and water or the fluid of the chloroplast surrounding the thylakoid membrane;

Let's look at the answer choices.

A. enclosed space containing proteins used in ATP formation

B. membranes enclosing open space

C. layered stacks of membranes

D. fluid space that contains DNA, ribosomes, and other enzymes

Obviously not C.

A is Synthase.

B is the whole thing.

It is D.

(BTW THIS IS MATH!! Not science!! Just in case you have more questions!)

Answer:

raw

Step-by-step explanation:

Answer:

1.5 feet

Step-by-step explanation:

Answer:

1.5 feet or 3/2 feet

Step-by-step explanation:

Answer:

64/256

Step-by-step explanation:

4*4*4=64/4*4*4*4=256

Answer: 7

Step-by-step explanation: if it's so easy, why do you need brainly? (not judging, just confused why you'd waste points)

Answer:

The answer is 5345992476

Step-by-step explanation:

Answer:

24x^5

Step-by-step explanation:

3 x 8 = 24

x multiplied by x^4 = x^5

(the exponents add to each other when multiplied)

Answer:

y=3x-19

Step-by-step explanation:

y-y1=m(x-x1)

y-(-1)=3(x-6)

y+1=3(x-6)

y=3x-18-1

y=3x-19

Answer:

The length of RS is 22

The length of UV is 22

Step-by-step explanation:

6x-8. ---------- equation (i)

4x+2 ------------ equation (ii)

Now,

equating equation i and ii, we get

6x-8 = 4x+2

or, 6x-4x = 2+8

or, 2x = 10

or, x = 10/2

.°. x = 5

Then,

length of RS = 6x-8

= 6×5-8

= 30-8

= 22

Again

length of UV = 4x+2

= 4×5+2

= 20+2

= 22

Answer:

9sweets

Step-by-step explanation:

sweets man has to give to his son=x

mans sweets=25-x

child's sweets=55=x

55+x=4(25-x)

55+x=100-4x

4x+x=100-55

5x=45

x=45/5

x=9

Answer: The man has to give nine sweets for his son to have four times as many sweets as him.

Answer:

a = 28°

Step-by-step explanation:

62°+a° = 90°

a = 90 - 62

a = 28°

Answer:

Step-by-step explanation:

Since we know that 62 + ∠A must equal 90°, we can find the missing angle by isolating the variable.

Conclusion:

Therefore, the measure of the missing angle is 28°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

The first number is -3, the second number is 8

Step-by-step explanation

Let x = the first number

exceeded means add, so the second number is x+11

sum means add, so the equation is x+x+11=5

combine like terms to get 2x+11=5

subtract 11 on both sides, 2x=-6

divide by 2 on both sides, x= -3

second number was x+11, so -3+11 = 8

I had this question earlier, and if I remember correctly the answer was 56.40

Answer:

One solution

Step-by-step explanation:

Start by simplifying the equation.

Then you have 12x + 6 = 6x + 24,

Continue to solve

Because x is equal to one digit and not x = x or 3 = 5, you have one solution

                                                            (Infinite) or (none)

Hope this helps!

Answer:

The answer is −42