Write the simplest polynomial function with the given roots -3,-2,1 and 5

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

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:

Answer:

The correct option is second one i.e 7x = 3

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Step-by-step explanation:

Given:

Equations as

[tex]2x+y=8[/tex]      .......................1

[tex]5x-y=-5[/tex]        .......................2

To Find :

Result when adding equation 1 and 2 = ?

Solution

On adding equation 1 and 2 the "y" term will get cancel and the like terms will combine that is add (2x and 5x ) and ( 8 and - 5)  as shown below

           2x     +    y    = 8

           5x    -   y     = - 5

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

           7x     + 0        =   3

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

Therefore the results from adding the equation in this system is

[tex]7x=3[/tex]

Answer:

It's 3x=3

Step-by-step explanation:

I did it in edg!  But its correct

Answer:

Baseball

Step-by-step explanation:

There are 30 people in total who voted in survey

9 Soccer

7 Basketball

5 Tennis

3 Hockey

6 Baseball

If 30 represents 100% of them then we divide 30 by 100 then multiply by 20

30 ÷ 100 × 20 = 6 is the number of people likes baseball as their favourite.

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: [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:

D) 68 carnations & 32 roses

Step-by-step explanation:

First of all, we need to identify the parts of the problem that we already know.

1) The events committee bought a total of 100 flowers.

2) The events committee spent a total of $139 on the carnations and roses, combined.

3) One carnation costs $0.75

4) One rose costs $2.75

We can create a formula to find the price of the flowers:

(x times $0.75) + (y times $2.75)= $139

If we calculate it out, the only option that fits the equation is 68 carnations and 32 roses.

Answer:

The correct answer would be 8x - 12.

Step-by-step explanation:

2 ( -6 + 4z)

= (2) ( -6 + 4z)

= (2) ( -6) + (2) (4z)

= 12 + 8z

= 8z - 12

Hope this helps!

Answer:

Expanded answer: 8z - 12

OR

Factored answer: 4(2z - 3)

Step-by-step explanation:

Solve using the distributive property. This is when you multiply the number outside the brackets by each number inside the brackets.

2(-6 + 4z)

= (-6)(2) + (4z)(2)        Multiply each number by 2

= -12 + 8z        When you can, try not to start with a negative number.

= 8z - 12        This is the answer in expanded form

Refactored:

"8z" and "12" have a GCF (greatest common factor) of 4. Take out "4" from the expression to factor.

8z - 12

= 4( 8z/4 - 12/4 )        Divide each term by 4.

= 4(2z - 3)         This expression is equivalent when you need it fully factored.

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:

Angle BDC is an inscribed angle.

The inscribed angle equals one half of the intercepted arc.

Therefore, the intercepted arc equals 130 degrees.

Step-by-step explanation:

The measure of BC should be 130 degrees.

The angle of d is 65 degrees:

Since angle of D is 65

So, the BC should be doubled i.e. 130 degrees.

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Answer:

24 cubic inches

Step-by-step explanation:

1 ft = 12 inches

convert all dimensions to inches

1/4 ft = 1/4 * 12= 3 inches

1/6 ft = 1/6 * 12 = 2 inches

1/3 ft = 1/3 * 12 = 4 inches

Volume of a box = L*W*H

= 3 * 2 * 4

= 24 cubic inches

Therefore 1/72 ft will be 1/72 * 12

= 1/6 inches

Answer:

Step-by-step explanation:

Equation 1

3x - 4y = 16

multiplying equation by 3

it becomes

9x - 12y = 48  ------------(A)

equation 2

2x + 3y = 5

multiplying equation by 4

8x + 12y = 20 -------------(B)

Now comparing equation A & B

17x = 68

x = 4

putting the value of x in equation 2

2(4) + 3y = 5

8 + 3y = 5

3y = -3

y = -1

So, solution is (4 , -1)

Answer:

Step-by-step explanation:

Since g is a one-one function, its inverse exists.

Let (g^-1)(-6) = t

We have to find t

-5

(g^-1)(-6) = t inplies

-6 = g(t)

-6 = 5t + 19

5t = -25

t = -5

Answer:

the sum interior angles of a triangleis equal to 180

so (x + 13) +(x +23) + 90 = 180

2x + 36 + 90 = 180

2x = 180 - 126

2x = 54

x = 27

answer: 137%

to convert from decimal to percent, you multiply the decimal by 100.

Answer: 137%

Step-by-step explanation:

100% is equal to 1. Therefore, 1.37 is equal to 137% if you move the decimal point correctly. Multiplying by 100 is also another way to do it.

Answer:

The Second One or B. You were correct.

Step-by-step explanation:

The associative property is when the numbers of an equation stay the same, but the parentheses move.

Answer:

the correct answer for x is 8

Step-by-step explanation:

since:     1/2 ((4) (8) - 8) + (3) (8) = 36

The correct value for x that makes the equation true is 8.

To solve the equation [tex]\( \frac{1}{2}(4x-8)+3x=36 \)[/tex], follow these steps:

1. Distribute the [tex]\( \frac{1}{2} \)[/tex] to both terms inside the parentheses:

[tex]\[ \frac{1}{2} \cdot 4x - \frac{1}{2} \cdot 8 + 3x = 36 \][/tex]

2. Simplify the equation by multiplying:

[tex]\[ 2x - 4 + 3x = 36 \][/tex]

3. Combine like terms:

[tex]\[ 5x - 4 = 36 \][/tex]

4. Add 4 to both sides of the equation to isolate the term with x:

[tex]\[ 5x = 36 + 4 \][/tex]

[tex]\[ 5x = 40 \][/tex]

5. Divide both sides by 5 to solve for x:

[tex]\[ x = \frac{40}{5} \][/tex]

[tex]\[ x = 8 \][/tex]

Answer:

Option C. [tex]y=-x^2[/tex]

Step-by-step explanation:

we know that

We can reflect the graph of any function f(x) about the x-axis by graphing y=-f(x)

so

The rule of the reflection of a function f(x) across the x-axis is

(x,f(x)) ------> (x,-f(x))

In this problem we have

[tex]f(x)=x^{2}[/tex]

Applying the rule of the reflection across the x-axis

[tex](x,x^2) ----> (x,-x^2)[/tex]

therefore

The new equation of the quadratic function is

[tex]y=-x^2[/tex]

Answer:

Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]

Step-by-step explanation:

Given first term(a) = 6

and common ratio = [tex]\frac{1}{3}[/tex]

[tex]T_n= ar^{n-1}[/tex]

[tex]\therefore T_9=ar^{9-1}[/tex]

[tex]\Leftrightarrow T_9=a r^8[/tex]

[tex]\Leftrightarrow T_9=6\times ( \frac{1}{3}) ^8[/tex]

[tex]\Leftrightarrow T_9=\frac{2}{2187}[/tex]

Therefore 9th term of the geometric sequence is [tex]\frac{2}{2187}[/tex]

Answer:

The answer is 11

Step-by-step explanation:

Answer:

its a triangle

Step-by-step explanation:

3 sides

Answer:

the shape is known as a triangle

Answer:

2621

Step-by-step explanation:

We know how much they drink in 1 week, now we need to know how many they drink in 5 weeks.

To do so, multiply how much they drink in 1 week by 5 to get the value for 5 weeks.

524.2*5=2621

Multiply the base and height (28.3*12.8=362.24)

Divide by 2: 181.12

So the answer is C

Hope this helped

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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Question:

What is the value of x? Enter your answer in the box. 68mm 57mm 129.2mm

The image of the triangle is attached below:

Answer:

The value of x is 98mm

Explanation:

It is given that VT = 57, TK = 129.2, YK = 68 and VK = x

Now, we need to find the value of x.

We shall determine the value of x, using angle bisector theorem,

[tex]\frac{YK}{TK} =\frac{YV}{VT}[/tex]

Let us substitute the values, we get,

[tex]\frac{68}{129.2}=\frac{x-68}{57}[/tex]

Switch sides, we have,

[tex]\frac{x-68}{57}=\frac{68}{129.2}[/tex]

Multiply both sides by 57,

[tex]\frac{57(x-68)}{57}=\frac{68 *57}{129.2}[/tex]

Simplifying, we get,

[tex]x-68=30[/tex]

Adding both sides by 68, we have,

[tex]x=98[/tex]

Thus, the value of x is 98mm

Answer:

x = -3

y = -5

(-3, -5)

Step-by-step explanation:

We can solve this system of equations by elimination. This is when you either add OR subtract the equations (depending on the situation) to eliminate one variable, allowing you to solve for the other. To do this, we need one variable with the same coefficient in BOTH equations.

9x - 4y = -7         X3=>     27x - 12y = -21        (New equation is still equivalent)

7x - 12y = 39

Both equations have negative "12y" in them. If you subtract - 12y from - 12y, you get 0, eliminating the variable. Subtract the two equations.

.    27x - 12y = -21         Subtract each term in the equation.

-      7x - 12y = 39         Keep equal signs aligned

.       20x - 0 = -60        'y' eliminated. -12y - (-12y) = 0

.             20x = -60        Isolate 'x'

.       20x/20 = -60/20        Divide both sides by 20

.                  x = -3        Solved for 'x'

Substitute 'x' for -3 in any equation.

9x - 4y = -7        

9(-3) - 4y = -7         Substitute. Simplify multiplication.

-27 - 4y = -7         Isolate 'y' now

-27 + 27 - 4y = -7  + 27        Add 27 on both sides

-4y = 20        Left side cancelled out 27, right side simplified by adding.

-4y/-4 = 20/-4        Divide both sides by -4

y = -5       Solved for 'y'

Therefore the solution is when 'x' is -3 (x = -3) and when 'y' = -5 (y = -5).

You can also write the solution as an ordered pair, like coordinates, which are written (x, y). The solution would be (-3, -5).

Step-by-step explanation:

Weight of all female giraffes = 5x kg

Weight of all male giraffes = 7y kg

Mean weight of all giraffes

[tex] = \frac{5x + 7y}{5 + 7} \\ \\ = \frac{5x + 7y}{12} \: kg[/tex]

The mean weight of all the giraffes, in terms of x and y, is calculated by adding the total weights of both female and male giraffes and then dividing by the total number of giraffes. The expression for the mean weight is (5x + 7y) / 12.

To find the mean weight of all the giraffes in terms of x and y, we must first calculate the total weight of female and male giraffes separately and then combine these totals to find the overall mean.

For the 5 female giraffes: Total weight = 5 × x = 5x kg

For the 7 male giraffes: Total weight = 7 × y = 7y kg

Then, we add these together to get the combined total weight: Combined total weight = 5x + 7y kg

Since there are 5 + 7 = 12 giraffes in total, we then divide the combined weight by the number of giraffes to find the overall mean weight.

Overall mean weight = (5x + 7y) / 12