Determine the number of solutions of the system.
y = 2x - 1
y = -2x + 3

Answer:

3/10

Step-by-step explanation:

it is completely simplified already

Answer:

452.448in² options D

Step-by-step explanation:

A circular window on a boat has a diameter of 24

inches. Approximately how much wall space does the

window take up?

A 38 in?

B 75 in?

C 113 in?

D452 in?

Given data

D=24 inches

Radius =d/2= 24/2= 12 inches

Area A

A=πr²

Substitute

A=3.142*12²

A=3.142*144

A=452.448in²

Answer:

d is vertical so its 70 b c and a combined is also vertical to e so we have 110

Step-by-step explanation:

Answer:18

Step-by-step explanation: the other side is 20 and there the same length so y is 18 because 18+2=20

Answer:

50 dollars

Step-by-step explanation:

228-178=50

Answer:

c is 6 so it would be c = 6 cause the triangle is isoceles and c is the hypotenouse (i don't know how to spell it)

Answer:

there are 12000 pounds in 6 tons

There are 12,200 pounds in 6 tons, 200 pounds .

To convert tons to pounds, we need to multiply the number of tons by the conversion factor of 2,000 pounds per ton .

A ton, also referred to as a short ton, is a unit of weight equal to 2,000 pounds .

Given that there are 6 tons and 200 pounds, we can calculate the total weight in pounds as follows :

6 tons * 2,000 pounds/ton + 200 pounds = 12,000 pounds + 200 pounds = 12,200 pounds .

Therefore, there are 12,200 pounds in 6 tons, 200 pounds .

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Part 1) Finding the inverse

Let x = r and y = H(r)

We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01

From here, swap x and y to get the equation x = 6240(1+0.01y)^t

Let's solve for y

x = 6240(1+0.01y)^t

6240(1+0.01y)^t = x

(1+0.01y)^t = x/6240

1+0.01y = (x/6240)^(1/t)

0.01y = (x/6240)^(1/t)-1

100*0.01y = 100*((x/6240)^(1/t)-1)

y = 100*((x/6240)^(1/t)-1)

y = 100*(x/6240)^(1/t) - 100

This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.

We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.

So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.

The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.

===========================================================

Part 2) Finding the growth rate if the number of households is 7800 after 3 years.

We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)

r(H) = 100*(H/6240)^(1/t) - 100

r(7800) = 100*(7800/6240)^(1/3) - 100

r(7800) = 7.72173450159419

You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72

Since r = 7.72, this means the growth rate is 7.72%

Answer:

CF

Step-by-step explanation:

Mark as brainliest please

Angles that are supplimentary to ∠1 are ∠4 and ∠2 as they form and angle which measures 180°.

A line is called a transvarsal line when it intersects two or more than two lines at two or more than two different points.When a transvalsal intersect two lines at two different points two pairs of alternate angle forms and if they are congruent to each other then the lines which are intersected by a transvarsal are parallel to each other.

We know two are supplimentary if their sum is 180° and we also know that when two lines intersect each other their adjacent angles supplimentary to each other.

∴ Angles that are supplimentary to ∠1 are, ∠4 and ∠2 meaning ∠1 and ∠4 together form a supplimentary angle and ∠1 and ∠2 together form a supplimentary angle.

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uh i did this wrong so uh just ignore what i said

Answer:

82°

Step-by-step explanation:

Angle C and B equal the measure of angle A so,

143 - 61 = 82

Angle B is 82°

Answer:

It only has one solution.

Step-by-step explanation:

4x-20= -2 (-2x + 10)

Add 20 to both sides

4x-20+20=4x-20+20

simplify:

4x=4x

Subtract 4x from both sides

4x-4x=4x-4

Simplify:

0=0

Answer:

the percentage did the stock decline is 4%

Step-by-step explanation:

The computation of the percentage did the stock decline as follows:

= Lost value ÷ original price

= $1.18 ÷ ($1.18 + $28.32)

= $1.18 ÷ $29.50

= 4% decline

Hence, the percentage did the stock decline is 4%

Answer:

x=3

Step-by-step explanation:

Answer:

300 bags of dog food

Step-by-step explanation:

4b + 2b + b + b = 600

(dog) + (cat) + (bird) + (hamster) = 600

8b = 600

b = 75

Byron purchased 75 bags of bird food. He needs 4 times that of dog food. So, he purchased 300 bags of dog food.

Answer:

24.53

Step-by-step explanation:

9% of 22.50 = 2.03

22.50 + 2.03 = 24.53

Answer:

24.53

Step-by-step explanation:

Answer:

So, The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

Step-by-step explanation:

P.S - The exact ques is -

As we know that Volume of cone , V = [tex]\frac{1}{3}\pi r^{2}h[/tex]

As given,

V = [tex]9\pi[/tex]

⇒[tex]\frac{1}{3}\pi r^{2}h = 9\pi \\ \frac{1}{3} r^{2}h = 9 \\r^{2}h = 27[/tex]

So,

The possible values of h and r are

1. r = 3 , h = 3

2. r = 1, h = 27

3. r = 2, h = 6.75

In Case I-

When r = 3, h = 3

(3)² ×3 = 9×3 = 27

Satisfied

Case II-

r = 1, h = 27

(1)²×27 = 1×27 = 27

Satisfied

Case III-

r = 2, h = 6.75

(2)²×6.75 = 4×6.75 = 27

Satisfied

If the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

The volume of the cone is the volume occupied by the cone. It is given by the formula,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h[/tex]

where r is the radius of the base, and h is the height of the cone.

Now, as it is given that cones need to hold 9 cubic inches of popcorn. therefore, the volume of the cone can be written as,

[tex]\text{Volume of the cone}= \dfrac{1}{3} \pi r^2h\\\\9 \times 3 = \pi r^2h\\\\\dfrac{9 \times 3}{\pi}=r^2 h\\\\8.5943 = r^2 h[/tex]

Thus, the product of the square of the radius and the height of the cone should be such that the result is 8.5943.

Now, let the radius of the cone be 2 inches, therefore, the height of the cone is,

[tex]8.5943 = r^2 h\\\\8.5943 = (2^2) h\\\\h = 2.1485\rm\ in[/tex]

Hence, if the radius of the base of the cone is 2 inches then the height of the cone should be 2.1485 inches.

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Answer: 21

Step-by-step explanation:

Formula

(21.2°F − 32) × 5/9 = -6°C

Step-by-step explanation:

simplify the bracket

4x-12=20

4x=20+12

4x=32

X=8

Answer:

A.

Step-by-step explanation:

Graphed them

i hope this helps :)

Answer:

hello

Step-by-step explanation:

Answer:

As BVC is similar to RJC

from BV/RJ=BC/RC=Y/8=13.5/9=108/9=12

Y=12

Answer:

the answer is B

Step-by-step explanation: hope this helps :)

Answer:

Guess I'll agree with the other person.

Step-by-step explanation:

Answer:

Present age = 13 years

Step-by-step explanation:

Let the present age be x years.

14 years after age = (x + 14) years

4 years ago age = (x - 4)

According to the given information:

14 years after age = 3 times 4 years ago age

x + 14 = 3(x - 4)

x + 14 = 3x - 12

14 + 12 = 3x - x

26 = 2x

x = 26/2

x = 13 years

Thus, the present age is 13 years

Answer:

Isolate the variable and simplify.

Step-by-step explanation:

13h = 109.2

h = 109.2 ÷ 13

h = 8.4

Your answer would be 8.4 units.

Don't forget units! :)

Answer:

Parallel

Step-by-step explanation:

QR and ST both parallel to y axis.

The lines are parallel each other. Therefore, option A is the correct answer.

The given coordinate points are Q(-1, 4), R(-1, -9), S(11, -2), T(11, 6).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

After plotting the given points on the graph, we can see that the lines are parallel to each other.

The lines are parallel each other. Therefore, option A is the correct answer.

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