The diagram shows a cuboid of volume Vcm (cubed)?
(a) Show that V = 15 + 16x-x(squared) - 2x (cubed)

Answer:

6

Step-by-step explanation:

4.5(x-9)=-13.5

((distribute the 4.5 to the x (4.5x) and distribute the 4.5 to the -9 (-40.5)))

4.5x-40.5=-13.5

4.5x=27

x=27/4.5

x=6

Answer:

1350(1.02)^w

Step-by-step explanation:

hope this helped

Answer:

Step-by-step explanation:

i took the test on plato

For (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

[tex]\rm f(x) = x^2-6x-27[/tex]   and

[tex]\rm g(x) = x-9[/tex]

[tex]\rm (f+g)x = x^2-6x-27+x-9\\\\(f+g)x = x^2-5x-36[/tex]

[tex]\rm \dfrac{f}{g}(x) = \dfrac{x^2-6x-27}{x-9}\\\\\\rm \dfrac{f}{g}(x) = \dfrac{(x+3)(x-9)}{x-9}\\\\\rm \dfrac{f}{g}(x) = x+3[/tex]

[tex]\rm (f\times g)(x) = (x^2-6x-27)(x-9)\\\\\rm (f\times g)(x) =x^3-15x^2+27x+243[/tex]

[tex]\rm (f-g) = x^2-6x-27-(x-9)\\\\\rm (f-g) =x^2-7x -18[/tex]

Thus, for (x+3) → (f/g)(x), for x^3-15x^2+27x+243 → (f.g)(x), for x^2-5x-36 → (f+g)(x), for x^2-7x -18 → (f-g)(x) represents correct combination.

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Answer:

b≤−16

Step-by-step explanation:

Answer:

b = -16

Step-by-step explanation:

(1/2)b + 2 ≤ -6

          -2    -2

     (1/2)b ≤ -8

    x2         x2

          b ≤ -16

Plug in b as -16

(1/2)-16 + 2 ≤ -6

-8 + 2 ≤ -6

-6 ≤ -6

Answer:

$53.00

Step-by-step explanation:

250+15=265

265÷5= 53

250 is the discounted price, 265 is the original price. Take the original oprice divide it by 5 (the number of games Filipe bought).

Answer: 53

Steps:

5x - 15 = 250

5x = 250 + 15

5x = 265

x = 265/5

x = 53

Check:

5x - 15 = 250

5(53) - 15 = 250

265 - 15 = 250

250 = 250 ✅

I would appreciate “the brainliest” if this was helpful, correct, and steps were clear :)

Answer:

One solution

Step-by-step explanation:

The system has one solution and that is (-1.4, -1.2)

Answer:

33

Step-by-step explanation:

To find the mean of 5 numbers, you add the 5 numbers and divide by 5.

Let the unknown number = x.

(27 + 42 + 43 + 35 + x)/5 = 36

(x + 147)/5 = 36

x + 147 = 180

x = 33

Answer: 33

Answer:

it is 4

Step-by-step explanation:

12 ÷ 3 = 4

3 x 4 = 12

4 x 3 = 12

Answer:

wouldn't it be 3lb and 7oz

Answer:

Step-by-step explanation:

The two lengths of the rectangle ABCD will be 12 and 24

It is given that

The perimeter of the rectangle

P=72 units

The ratio of the length

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

Now from the formula of the perimeter of the rectangle

[tex]P= 2(a+b)[/tex]

[tex]\dfrac{a}{b}=\dfrac{1}{2}[/tex]

[tex]b=2a[/tex]

[tex]2(a+2a)=72[/tex]

[tex]6a=72[/tex]

[tex]a=12[/tex]

[tex]b=2\times 12=24[/tex]

Thus the two lengths of the rectangle ABCD will be 12 and 24

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Answer:

Step-by-step explanation:

Answer:

b^2-4b+3=0

b²-3x-b+3=0

b(b-3)-1(b-3)=0

(b-3)(b-1)=0

either

b=3 or b=1

.

2n^2 + 7 = -4n + 5

2n²+4n+7-5=0

2n²+4n+2=0

2(n²+2n+1)=0

(n+1)²=0/2

:.n=-1

.

x - 3x^2 = 5+ 2x - x^2

0=5+ 2x - x^2-x +3x^2

0=5+x+2x²

2x²+x+5=0

comparing above equation with ax²+bx +c we get

a=2

b=1

c=5

x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1

={-1±√-39}/2

Answer:

1.8 month and they wouldnt

Step-by-step explanation:

brainalist

The number of months when both accounts have the same balance is 5 months. If $720 is deposited each month in the saving account, then the number of months when both accounts have the same balance is 1.25 months.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Terrell has $2,700 in his financial records and $1500 in his bank account. He utilizes his financial records to take care of bills, which are $240 every month.

Let 'x' be the number of months. Then the equation is given as,

1500 = 2700 - 240 x

240 x = 1200

x = 5 months

Assuming Terrell kept an extra $720 in his bank account. Then the equation is given as,

1500 + 720 x = 2700 - 240 x

960x = 1200

x = 1.25 months

The quantity of months when the two records have a similar equilibrium is 5 months. On the off chance that $720 is kept every month in the saving record, the number of months when the two records have a similar equilibrium is 1.25 months.

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Answer:

5x^2 + 4x - 7 = 0

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Answer:

Step-by-step explanation:

other two sides joining center to the ends of chord=radius of circle=12 in

using cosine formula

[tex]cos A=\frac{b^2+c^2-a^2}{2bc} \\2bc cos~A=b^2+c^2-a^2\\\angle A=75^\circ\\b=c=r=12~in\\2*12*12~cos~75=12^2+12^2-a^2\\a^2=2*12^2-2*12^2 cos ~75\\a^2=2*12^2(1-cos 75)\\a=12\sqrt{2(1-cos~75)} \approx 14.6~inches[/tex]

Answer:

x > 12

Step-by-step explanation:

since it is an open circle on 12 shading to the right we know it will be a greater than symbol on 12 so x > 12

Answer:

x>12

Step-by-step explanation:

It is an open circle so it does not include 12 and all values are greater than 12.

Answer:

The sum is

The difference is

The product is

The quotient is

Answer:

5.25 cups of flour

Step-by-step explanation:

4 containers - 21 cups of flour

1 container - 21 cups of flour ÷ 4 = 5.25 cups of flour

Answer: 5 1/4 cups of flour will be in each container

Step-by-step explanation:

21 ÷ 4= 5.25

5.25= 5 1/4

hope this helps           i have no idea why i am typing in bold letters

Answer:

√{2563×2563}=√2563²=±2563

Answer:

4/8

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

3/2x+1/6=3/12x=4x

Answer:

24

Step-by-step explanation:

if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate.

Step-by-step explanation: brainllest pls

Answer:

In other respects, a balloon mortgage resembles an adjustable rate mortgage (ARM) with an initial rate period equal to the balloon period. A 7-year balloon, for example, is usually compared to a 7-year ARM. Both have a fixed-rate for 7 years, after which the rate will be adjusted.

Step-by-step explanation:

Answer:

Both are subject to current market rate after the initial rate period.

Step-by-step explanation:

Answer:

The answer is 1 & 7/8 or the middle option

Answer:

The correct answer to a is 3 1/2 same answer for the other answer.

Answer:

a. 7/2  OR  3 1/2     Either answer should be acceptable

b. 82/15   OR  5 7/15   Either answer should be acceptable

Step-by-step explanation:

a. 5 3/4 =  so first multiply the denominator, 4, by the whole number 5 so 4 x 5 is equal to 20. Add this to your numerator, 3.

20 + 3 = 23 so the new fraction is 23/4

Same thing with 2 1/4     4 x 2 = 8 + 1 = 9    9/4

23/4 - 9/4 = 14/4 simplify this to 7/2

b. Same process here:

7 2/3      3 x 7 = 21 + 2 = 23      23/3

2 1/5       5 x 2 = 10 + 1 = 11        11/5

This time, we need a common denominator

3 x 5 = 15

5 x 3 = 15

23/3 x 5/5 = 115/15

11/5 x 3 = 33/15

115/15 - 33/15 = 82/15

Answer:

241 t-shirt and 49 short

Step-by-step explanation:

lets call shorts x and tshirts y

x+y=290 (first equation)

4x+2y=678 (second equation) { we multiply the price of short with the short so we can get the pieces sold and also with the t-shirt to get the pieces sold)

x=290-y

and substitute it with x in the second equation

4(290-y)+2y=678 then till u get to y=241 (the pieces sold)

290-241=49 (pieces sold)

so as proof 49+241=290 pieces sold

as proof also 4*49=196 price of all shorts sold

2*241=482 price of all t-shirts sold then add them together and u will get 196+482=678$

Answer:

52 in^2

Step-by-step explanation:

If the diameter = 3 in, then the radius = 1.5 in.

To find the surface area, you need to find the area of the two circle areas (the base and the top of the cylinder) and the "sides" of the cylinder. If you look at the net shape of a cylinder, look at the picture below. That middle region aka the "side" of the cylinder is actually a rectangle. The length of the rectangle is also the circumference of the circle and the width is also the height of the can.

So:

2 * Area of the circle + rectangle = total surface area of the can

= 2(πr^2) + 2πrh

= 2π(1.5^2) + 2π(1.5)(4)

= 2π(2.25) + 12π

= 4.5π + 12π

= 16.5π

≈ 51.8

≈ 52 in^2

Answer:

54

Step-by-step explanation: