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Morgarella [4.7K]
3 years ago
14

4. Solve each equation for x. (8 points: 2 points each)

Mathematics
1 answer:
maksim [4K]3 years ago
8 0

Answer:

a. x = 9 + 4y

b. x = (7y-2)/6

c. x = (17 + k)/4

d. x = (9-c)/k

Step-by-step explanation:

In each of the equations, we want to make x the formula subject

a) 3x-12y = 27

3x = 27 + 12y

3x = 3(9 + 4y)

x = 9 + 4y

b) 6x-7y = -2

6x = 7y-2

x = (7y-2)/6

c) 4x - k = 17

4x = 17 + k

x = (17 + k)/4

d) kx + c = 9

kx = 9-c

x = (9-c)/k

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A cylinder has a volume of 320n cubic inches and a height of 5 inches.
Xelga [282]
B is the correct answer
4 0
3 years ago
Identify the degree, type, and lead coefficient of f(x) = x2 + 3x - 4x + 6x* - 1.
bonufazy [111]

Answer:

2, quadratic, 1

Step-by-step explanation:

Degree is the highest power which is 2 then the lead coefficient is the constant multiplying the highest power so for x^2 it is 1 and the type of equation is what is it, linear, quadratic, cubic, etc. For this it is quadratic because x^2 means its a parabola.

6 0
3 years ago
Find the area of this parallelogram <br><br>13cmx20cm<br>answer<br>260​
AlekseyPX

Answer:

Area = 260 cm²

Step-by-step explanation:

Area of parallelogram = base × height

Base = 20 cm

Height = 13 cm

Plug in the values

Area of parallelogram = 20 × 13

Area = 260 cm²

5 0
3 years ago
Beth is moving into a new house and purchased cardboard boxes for packing her things. Each cardboard box has a square base and a
Shtirlitz [24]
Answer: Choice D)
S(x) = 6x^2 - 20x

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

Explanation:

x = side length of base
x*x = x^2 = area of base

The top also has an area of x^2 since the base and top are both congruent squares. The total base area is x^2+x^2 = 2x^2

The height h is 5 inches shorter than the base, so
h = (base length) - 5
h = x-5

Each lateral side is of area h*x = (x-5)*x = x^2-5x

There are 4 lateral sides
Total lateral area = 4*(area of one lateral side)
Total lateral area = 4*(x^2-5x)
Total lateral area = 4*x^2-4*5x
Total lateral area = 4*x^2-20x

Add the total lateral area (4x^2-20x) to the total base area (2x^2)

Doing so gets us
S(x) = Total Surface Area
S(x) = (Area of bases) + (area of lateral sides)
S(x) = (2x^2) + (4x^2-20x)
S(x) = (2x^2+4x^2) - 20x
S(x) = 6x^2 - 20x
which is why the answer is choice D

4 0
3 years ago
A rectangular area of land is being sold off in smaller pieces. The total area of the land is 2^15 square miles. The pieces bein
Nesterboy [21]
Total area of the rectangular land = 2^15 sq. miles
                                                     = 32768 sq. miles

total area of the pieces being sold = 8^3 sq. miles
                                                       = 512 sq. miles

now total no. of pieces = total area of the land / the area of samaller land that's                                                                                     being sold
                                     = 32768 / 512
                                     = 64

so the actual number of pieces is 64
4 0
4 years ago
Read 2 more answers
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