What are the zeros of the quadratic equation y=5(2x-1)(x+3)

Answer:

a or b

Step-by-step explanation:

Final answer:

The constant of variation k is found by substituting the given values into the direct variation equation t = k√s and solving for k, leading to the result k = 32.

Explanation:

We are given that t varies directly as the square root of s, which can be represented as t = k√s, where k is the constant of variation. To find k, we use the provided values: t=64 when s=4. Substituting these values into the equation gives us:

64 = k√4

Since the square root of 4 is 2, we get:

64 = 2k

Dividing both sides by 2, we find that k = 32, which is the constant of variation.

Answer:

The correct option is B. rotation 90° counterclockwise about the origin.

Step-by-step explanation:

The correct option is B. rotation 90° counterclockwise about the origin.

None of the other transformations result in ∆A'B'C in the third quadrant.

Answer:

B.  rotation 90° counterclockwise about the origin

Step-by-step explanation:

The correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

To find the value of [tex]$\tan 60^\circ$[/tex] using the unit circle, follow these steps:

Draw the unit circle, which is a circle with a radius of 1 unit centered at the origin (0,0) on the Cartesian coordinate plane.

Identify the point on the unit circle corresponding to [tex]$60^\circ$[/tex]. This point is located in the first quadrant and makes an angle of [tex]$60^\circ$[/tex]with the positive x-axis.

Since the unit circle has a radius of 1, the coordinates of the point corresponding to 60 are:

[tex]$x$-coordinate: $\cos(60^\circ) = \frac{1}{2}$\\$y$-coordinate: $\sin(60^\circ) = \frac{\sqrt{3}}{2}$[/tex]

Now, we'll use the definition of tangent to find [tex]$\tan(60^\circ)$[/tex]:

[tex]$\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}$\\Substitute the values of $\sin(60^\circ)$ and $\cos(60^\circ)$ into the formula:$\tan(60^\circ) = \frac{\frac{\sqrt{3}}{2}}{\frac{1}{2}}$[/tex]

Simplify the expression:

[tex]$\tan(60^\circ) = \left(\frac{\sqrt{3}}{2}\right) \cdot \left(\frac{2}{1}\right)$$\tan(60^\circ) = \sqrt{3}$[/tex]

So, the correct answer is [tex]$\sqrt{3}$[/tex]. Hence the correct option is d.

Complete question:

Use the unit circle to find tan 60°.

a. square root 3/3

c. 2 square root 3/3

b. square root 3/2

d. square root 3

Answer:

M divided by 22 = total number of gallons used for the trip (m/22)

Step-by-step explanation:

Let's identify what we know:

1) Niki's car can do 22 miles per gallon (mpg)

So, what formula would we use to find out how many gallons were used if Niki drove m (number of miles) miles?

Well, let's pretend that Niki drove 154 miles! How would we solve it? Let's create a formula:

154/22 = number of gallons used

so, 154 is m!

m/22 = number of gallons used.

D is the correct answer! :)

Answer:

D.

m/22

Step-by-step explanation:

Answer:

-3

explanation:

3/4 times negative 4 = -3

Answer:

-3

Explanation:

.75 * -4 = -3

Answer: [tex]0.44 mi/min[/tex]

Step-by-step explanation:

We are asked to find the "skydiver's average change  of altitude per minute", this means we have to find the variation of the skydiver's distance in a given time. This is its velocity, which is given by:

[tex]V=\frac{\Delta d}{\Delta t}[/tex]

Where:

[tex]V[/tex] is the skydiver's velocity

[tex]\Delta d=0.66 mi[/tex] is the distance the skydiver has descended

[tex]\Delta t=1.5 min[/tex] is the time in which the skydiver has descended its distance

Solving:

[tex]V=\frac{0.66 mi}{1.5 min}[/tex]

[tex]V=0.44 mi/min[/tex] This is the skydiver's average change  of altitude per minute

Answer:

f(x) = x + 3  , if -3 ≤ x < -1

f(x) = 5       , if -1 ≤ x ≤ 1

Find it by multiplying 40 by 1/5.

1/5 is the same thing as .2, by the way. You can use whichever one, whichever one is easiest for you.

1/5(40)=

1 * 40=   40

5 * 1=      5

40 divided by 5 is 8.

The answer is 8. One fifth of the class is 8 students.

Hope this helps!

Answer:

1) adult ticket: $14, child ticket: $9

Step-by-step explanation:

Answer: A

Step-by-step explanation: Acute and isosicles

Answer:

The answer is A. Hope I helped you! ;)))

Step-by-step explanation:

The triangle is acute and is isosceles.

Answer:

m∠CBD = 60 degrees

Step-by-step explanation:

2x + 14 + x + 7 = 90       The equations equal 90

3x + 21 = 90                   Combine like terms

     - 21  - 21                    Subtract 21 from both sides

3x = 69                           Divide by 3 on both sides

x = 23

Plug 23 in the equation

2(23) + 14 = 60

Step-by-step explanation:

Let r be the radius of the circle

The area of a circle is  A = pi * r^2

We know the area is 49 pi

pi r^2=49 pi

r^2=49 pi/pi

r^2=49

r=sqrt 49

r=7

The circumference of the circle is calculated as

C = 2pi*r

C = 2 *pi *(7)

C = 14*pi   cm

pi=22/7

C=14*22/7=2.22=44 inches

so,C =44 inches

Answer:

The length of the line segment is 10 units.

Step-by-step explanation:

Let us call the given two points: (x₁, y₁) = (2, -3) and (x₂, y₂) = (8, 5).

The distance between two points, d = [tex]$ \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2} } $[/tex]

Here, [tex]$ (x_1, y_1) = (2, -3) $[/tex] and

[tex]$ (x_2, y_2) = (8, 5) $[/tex]

Therefore, distance, d = [tex]$ \sqrt{(8 - 2)^2 + (5 - (-3))^2 $[/tex]

[tex]$ = \sqrt{6^2 + 8^2} $[/tex]

[tex]$ = \sqrt{36 + 64} $[/tex]

[tex]$ = \sqrt{100} $[/tex]

= 10 units.

Hence, the answer.

Answer:

90°

Step-by-step explanation:

supplementary angles, when added = 180°

so if one angle is 90°, then the other angle, its supplement, is 180 - 90 = 90°

Answer:

90°

Step-by-step explanation:

The supplement of an angle is what, when added to it, equals 180°.

So if we have 90°, we would subtract 90° from 180° to get 90°.

The supplement of 90° is 90°.

The complement of 85° is 5°, since they add up to equal 90° a right angle. So the complement of 90° is 0°

Answer:

The simplified fraction form of 15% is 320

The product will break even when x is greater than or equal to 18 units, i.e., x ≥ 18, as revenue (R) exceeds or equals cost (C) at this production level.

To find the intervals where the product will at least break even, we need to determine the values of x for which the revenue (R) is equal to or greater than the cost (C), i.e., R ≥ C.

Given:

Cost function C(x) = 55x + 450

Revenue function R(x) = 80x

We can set up the inequality:

80x ≥ 55x + 450

To isolate x, we can subtract 55x from both sides:

80x - 55x ≥ 55x - 55x + 450

This simplifies to:

25x ≥ 450

Now, divide both sides by 25 to solve for x:

x ≥ 450 / 25

x ≥ 18

So, the product will break even when x is greater than or equal to 18. This means that for any production level of 18 units or more, the revenue will be equal to or greater than the cost, ensuring that the product is at least breaking even. Therefore, the interval where the product will at least break even is x ≥ 18.

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To break even, the revenue (R) must equal the cost (C). Setting the revenue function R = 80x equal to the cost function C = 55x + 450 and solving for x, we find that the product will break even when x >= 18 units, meaning the company will begin to make a profit at any production level greater than 18 units.

To find where the product will at least break even, we need to determine when the total revenue
(R) is greater than or equal to the total cost (C). The cost to produce
x units of wire is given by C = 55x + 450, and the revenue by R = 80x. To break even,
R must be equal to C:

80x = 55x + 450

Solving for x gives us:

80x - 55x = 450

25x = 450

x = 450 / 25

x = 18

Therefore, the product will break even at x = 18 units. For any number x greater than 18, R will be greater than C, which means profits are being made. The interval for breaking even is thus x >= 18.

Answer:

0.76

Step-by-step explanation:

Answer:

.76

Step-by-step explanation:

Just add them

Zeke can make a profit of $10.80 per share if he sells his stocks now. His broker expects a decline in the future, so selling now would be a good decision.

Zeke's situation pertains to the world of finance and stock investment. He bought 10 shares of a company's stock at $21.20 per share and it's currently priced at $32 per share. By subtracting the buying price from the current price, we can calculate the profit per share which is $10.80.

So, if he sells the stocks now, he will make a profit of $10.80 per share. For 10 shares, that's a total profit of $108 (10 shares * $10.80 per share). If his broker expects a decline in the price, Zeke ideally should sell the shares now to profit before the prices go down.

Generally, the rate of return on a financial investment in a share of stock can be from dividends paid by the firm or as a capital gain achieved by selling the stock for more than you paid. In this case, Zeke's profit would be considered a capital gain.

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Answer:

Susan has saved 20 Dollars so far

Answer:

y = 10

Step-by-step explanation:

y = 4(3) - 2

y = 12 - 2

y = 10

Answer:

10

Step-by-step explanation:

plug the 3 in and multiply it by the 4. subtract the 2 and thats it!

Answer:

10.15 dollars is the answer...

Answer:

Step-by-step explanation:

Domain = {-9,5,6,-4,3}

Range= {3,1,9,7,2}

Domain is x value and range is y value

The domain and range of the function {(-9,3), (5,1), (6,9),(-4,7),(3,2)} is -9,5,6,-4,3 and 3,1,9,7,2.

The domain of a function is the values of variable that is entered in a function.

The range of the function is the value that is coming out from solving a function.

We are given the function {(-9,3),(5,1),(6,9),(-4,7),(3,2)}.

Domain of the function is the first element that is -9,5,6,-4,3. and the range of the function is the second element that is 3,1,9,7,2.

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Step-by-step explanation:

x + 2x + 3x = 180°

6x = 180°

Therefore, x = 30°

2 x = 60°

3x = 90°

Hence, it is a right angled triangle.

Answer:

The triangle is right

Step-by-step explanation:

x+2x+3x=180

6x=180

x=30

30-60-90

The largest angle is 90 degrees which means that the triangle is right. (def of right triangle)

Answer:

D (2,-2)

Step-by-step explanation:

Answer:

7900/100*80 = 6320

Step-by-step explanation:

In a crowd of 7,900, there are 1,580 children, representing 20% of the total population.

To find out how many children are in a crowd of 7,900 when the proportion is 20%, you can use the following steps:

1. Calculate the proportion (20%) as a decimal: 20% = 0.20.

2. Multiply the crowd size (7,900) by the proportion (0.20) to find the number of children:

Children = 7,900 * 0.20 = 1,580.

So, in a crowd of 7,900, there are 1,580 children.

This calculation is based on the assumption that the 20% proportion represents the fraction of the crowd that consists of children. If you have additional information about the crowd's composition or the nature of the 20%, such as whether it includes adults or other groups, the calculation may differ.

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Answer:

2/3 as a decimal is 0.6 recurring

Step-by-step explanation:

See above

Answer:

3.01 is a decimal and 2/3 as a decimal is .666666666666666666 it keeps going on

Step-by-step explanation:

Answer:

Kiki has 0.03 cents more than Jordan.

Step-by-step explanation:

so first add 2.48 and 1.69= 4.17

Kiki's amount of money= $4.17

Add 3.05 and 1.09= 4.14

Jordan's amount of money= $4.14

subtract 4.17-4.14=0.03

After adding up the amounts for both Kiki and Jordan, it is determined that Kiki has more money by $0.03.

To find out who has more money, Kiki or Jordan, we need to add up the amounts that each person has in their respective locations and then compare the totals. First, let's calculate Kiki's total amount:

Adding these two amounts gives Kiki a total of $4.17.

Now let's calculate Jordan's total amount:

Adding these two amounts gives Jordan a total of $4.14.

By comparing the two totals, we see that Kiki has more money than Jordan. The difference in their amounts is $4.17 (Kiki's total) - $4.14 (Jordan's total) = $0.03. Therefore, Kiki has three cents more than Jordan.

In a complete sentence: Kiki has more money than Jordan by three cents.

A number "n" is subtracted from 21

Solution:

Given that, we have to write the given expression as verbal sentence

Given expression is:

21 - n

Here, "minus sign" means subtraction

n is a unknown number

Therefore, we can say,

A number "n" is subtracted from 21

In another we can say,

21 is reduced by a number "n"

Thus given expression is translated into verbal expression