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2 years ago

Given: c(x) = 2x – 6 Find c(x) = 18

2 answers:

Alex2 years ago

4 0

18 = 2x -6 (Subtract 18 on both sides then subtract 2)
-2x = -6 -18
-6 -18 is = -24 (you add negative numbers together)
-2x = -24 (divide both numbers by -2)

X = 12

Ivanshal [37]2 years ago

4 0

Answer:

X = ---- , y = 12

Step-by-step explanation:

Solve for x, y

X = 18

Y = 12, c ≠ 0

Consider the first equation. Subtract 2y from both sides.

cx - 2y = -6

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

cx = 18, cx - 2y = -6

Pick one of the two equations which is more simple to solve for x by isolating x on the left hand side of the equal sign.

cx = 18

Divide both sides by c.

X = __

Substitute 18/c for x in the other equation,

c x - 2y = - 6.

c x ( ---- ) - 2y = - 6

Multiply c times ----

18 - 2y = - 24

Subtract 18 from both sides of the equation.

- 2y = - 24

Divide both sides by -2.

y = 12

The system is now solved.

X = ---- , y = 12

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Solve each single-step equation. Show your work. -15+n=-9

Serggg [28]

Answer:

Step-by-step explanation:

-15+6 means it goes minus basically its 15-6(-15+6)=-9

3 0

2 years ago

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Find the total area for the regular pyramid.

hram777 [196]

Answer:

Option B

Step-by-step explanation:

Given is the hexagonal pyramid.

We know the radius of the base is same as its side.

Find the base area:

A = 3√3/2a²
A = 3√3/2*6² = 54√3

Given the height and radius, find the side of the lateral triangular faces:

$\sqrt{8^2+6^2} =\sqrt{100} =10$

Each of 6 triangles have sides 10, 10 and 6 units.

Find the area using heron's formula:

s = P/2 = (10*2 + 6)/2 = 13
s - a = s - b = 13 - 10 = 3
s - c = 13 - 6 = 7
$A = \sqrt{s(s-a)(s-b)(s-c)} =\sqrt{13*3*3*7} =3\sqrt{91}$

Total surface area:

$S = 6*3\sqrt{91}+54\sqrt{3} =18\sqrt{91}+54\sqrt{3}$

Correct choice is B

3 0

1 year ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

2 years ago

Which statement best describes the use of a simulation to predict the probability that two randomly chosen people will both have

laila [671]

Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

This is the statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.

There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.

1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability

So, (1/7)² is the probability that both persons will have their birthdays on a Monday.

8 0

2 years ago

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Using the formula V = l × w × h, find the volume of a right rectangular prism when the length of the prism is 45 cm, the width i

user100 [1]

Answer:

The volume of the right rectangular prism is 5400 cubic centimeter.

Step-by-step explanation:

Given : The length of the prism is 45 cm, the width is 12 cm, and the height is 10 cm.

To find : The volume of a right rectangular prism ?

Solution :

The formula used is $V=l\times w\times h$