Write a possible equation for a polynomial whose graph has horizontal intercepts at x = 2,-1,-3.

help​

Answer:

Researcher B

Step-by-step explanation:

Power of statistics is the probability that a test will correctly reject a false null hypothesis.

This probability is more accurate with greater sample size as it is better representation of the population.

Therefore researcher B has more power to detect an effect since he has nearly twice sample size (40 vs 22)

If each term in the sum a1+a2+a3...+an is  7 and the sum equals 350, C: 40 would be equal to n.

In equation form, it is:  

                  7s +  77t = 350

In this equation,

          s represents the number of 7's

          t represents the number of 77's

          thus, the number of terms i.e n = s + t =?

now solving the equation,

        7 (s + 11t) = 350

        7 (s + 11t) = 350

            s + 11t = 50

            s + 11t = 50

now, if  

       s=39     &      t =1  

then

         s + 11t = 50 -> 39 + 11 (1)  = 50

Since the number of terms n = s + t

        n = s + t

        n = 39 + 1

        n = 40

Hence, the if each term in the given sum is 7 which gives a total sum as 350, then number of terms in the given series is 40.

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Answer: 1.277s and 0.098s

Given the height of the ball modeled by the equation

h(t) = -16t^2+22t+6, where;

t is the time in seconds

To calculate the time interval (in seconds) in which the height of the basketball is 8 feet, we will simply substitute h(t) = 8 into the expression and calculate t as shown;

8 = -16t^2+22t+6

Divide through by 2

4 = -8t^2+11t+3

-8t^2+11t+3-4 = 0

8t^2-11t+1 = 0

t = 11±√11²-4(8)/2(8)

t = 11±√121-32/16

t = 11±√89/16

t = 11±9.43/16

t = 11+9.43/16 and t = 11-9.43/16

t = 20.43/16 and t = 1.57/16

t = 1.277s and t = 0.098s

Hence the time interval to the nearest thousands are 1.277s and 0.098s.

Step-by-step explanation:

Answer:

x = 20/9

Step-by-step explanation:

2 + 9x - 22 = 0

Combine like terms

9x - 20 =0

Add 20 to each side

9x-20 +20 =  20

9x = 20

divide each side by 9

9x/9 = 20/9

x = 20/9

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

To calculate the relative change from Ohio to Indiana in terms of new mathematics teachers, we need to determine the percentage increase or decrease in the number of teachers between the two states.

The relative change can be calculated using the formula:

Relative Change = (New Value - Old Value) / Old Value * 100

Let's apply this formula to the given data:

Ohio: Old Value = 4392

Indiana: New Value = 6546

Relative Change = (6546 - 4392) / 4392 * 100

Simplifying the equation:

Relative Change = 2154 / 4392 * 100

Relative Change ≈ 0.4908 * 100

Relative Change ≈ 49.08%

The relative change from Ohio to Indiana in terms of new mathematics teachers is approximately 49.08%. This indicates that Indiana has experienced a significant increase compared to Ohio in the number of new mathematics teachers.

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Answer:

Step-by-step explanation:

The vertices of the already rotated triangle are:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Answer:

D '(4, 4)

E '(1, 3)

F '(2, 1)

Step-by-step explanation:

Answer:

To find the value of "a" when you know the perimeter of a shape, you need to know the specific shape you're referring to. Please provide more information about the shape in question, such as whether it's a rectangle, triangle, or another geometric figure. Additionally, if you have any specific measurements or relationships between the sides of the shape, please provide them as well.

Answer:

AC = 12

Step-by-step explanation:

If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore

ΔABC is similar to ΔADE.

The sides of smaller triangle are in proportion with sides of bigger triangle.

Therefore we have the equation:

AC/AE = AB/AD

Substitute the given numbers:

x/x+15 =8/18

18x= 8(x+15)

18x = 8x+120

10x = 120

x = 12

AC=12

Answer:

4.4 ounces/ 4 ounce (if rounded)

Step-by-step explanation:

There are 16 ounces in a pound, therefore the equation 12/16 will be useful since 16 ounces in a pound can be divided by 12, in conclusion 12/16=0.75 which is how much an ounce costs.

Then you will take $3.30 and divide it by 0.75 to get your answer for how many ounces you can buy for $3.30 which will equal 4.4 ounces but if you were to round it would be 4 ounces

Hope this helps!

Answer: \(x=4\)

Step-by-step explanation:

\(x+2=10-x\)

\(x+2-2=10-x-2\)

\(x=-x+8\)\(x+x=-x+8+x\)

\(2x=8\)

\(\frac{2x}{2}=\frac{8}{2}\)

\(x=4\)

Answer:

x^3+2x^2-15x

Step-by-step explanation:

Ohk there various methods and steps which can be followed,but let's simplify

In the first method,

Lets put off the brackets hence we will multiply,simplify the equations in the brackets,which would be as followed:

x(x-3)(x+5)

Let's Start with solving the bracket equation,which would be-

(x-3)(x+5)=x(x+5)-3(x+5)=x^2+5x-3x-15

=x^2+2x-15

While multiplying the above equation we got with `x',we get:

x(x^2+2x-15)=x^3+2x^2-15x(Hence solved)

Or/otherway/otherwise:

x(x-3)(x+5)=[x(x-3)](x+5)=(x^2-3x)(x+5)

=x^2(x+5)-3x(x+5)=x^3+5x^2-3x^2-15x

=x^3+2x^2-15x(Solved)

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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Answer:

620 to the nearest ten is already rounded correctly.

Step-by-step explanation:

620 to the nearest ten is 620.

Answer:

$ 140.00.

Step-by-step explanation:

I = $ 140.00

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

I = 1000 × 0.07 × 2 = 140

I = $ 140.00

The simple interest accumulated

on a principal of $ 1,000.00

at a rate of 7% per year

for 2 years is $ 140.00.

answer-

577468-64753=57623546

The graph of the given equation is attached bellow.

What is a graph?

In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way.

The relationships between two or more items are frequently represented by the points on a graph.

Here, for instance, we can plot a graph showing the type and quantity of school supplies used by pupils in a class based on the data provided below. Each supply is first counted, and the data is then shown in a table with specific colors in a logical order.

Given equation is y=-5x+50

Where y represents the gift card balance after x number of days.

First find some points on the line.

Putting x = 5 in the given equation:

y = (- 5 × 5) + 50

y = -25+ 50

y = 25

Putting x = 0 in the given equation:

y = (- 5 × 0) + 50

y = -0+ 50

y = 50

Putting x = -1 in the given equation:

y = (- 5 × (-1)) + 50

y = 5+ 50

y = 55

The points on the line are (5, 25), (0,50), and (-1,55).

Plot the points and join them.

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Answer:

Step-by-step explanation:

5y + 8x = -25

5y = -8x - 25

y = -8/5x - 5

The statements which are true about perpendicular lines are;

Perpendicular lines in their simplest description are lines which meet or cross each other forming a right angle, 90°.

Also, It follows from line geometry that such lines have their slopes as opposite reciprocals.

Consequently, their slopes are such that; m1 × m2 = -1.

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Answer:

q = -1/8

Step-by-step explanation:

You're trying to solve for q
32q+4=0

Subtract 4 both sides
32q=-4

Now Divide -4 by 32 (This means you have to simplify)
-4/32 = -1/8 due to the common factor of 4.

q = -1/8

Answer:

4(8q+1)

Step-by-step explanation:

32q+4

4*8q+4*1

4(8q+1)

Answer: 4x+8

Step-by-step explanation:

Okay since the area for the block is X, two numbers multiplied together is X.

Since the big block has an area of X^2, then this shows the sides to be X.

This gives the sides of the block with area X to be 1 and X.

Now just add up every side like this : 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + x + x to get 4x+8

Answer:

the correct answer should be 500,000 hope this helps

4000 is 0.8% of 500000.

5 holes have been punched into a 12 cm by 12 cm square piece of paper. The area of remaining paper will be 27.714 cm².

Firstly, we will calculate the area of the square of paper in which the holes are punched.

Side of square = 12 cm

Area of square = side²

= (12) ²

= 144 cm²

Now, we will calculate the area of the bigger punch holes

Radius of big punch hole = 3 cm

Area of 1 big punch = π (radius) ²

= 22/7 × (3)²

22 / 7 × 9

= 198 / 7 cm²

Area of 4 punches = 4 × 198/7

= 792/7 cm²

Now, we will calculate the area of smaller punch whose radius is 1cm

Area = 22/7 × 1²

= 22/7 cm²

Now, we will calculate the total area covered by circles

Total area covered by circles = area of small punch + area of 4 big punch

= 22/7 + 792/7

= 814 /7 cm²

Remaining area = area of square - area of circles

= 144 - 814/7

= (1008 - 814) / 7

= 194 / 7

= 27.714 cm²

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The cost of sales for Sheridan Industries, given the gross profit and the sales, is $ 6, 498, 000

The cost of sales refers to the amount that the company invested to be able to make the sales they did. This includes the cost of purchases of goods which were then sold ( or their cost of manufacturing ).

The cost of sales to Sheridan Industries can be found by the formula :

= Sales - Gross profit

The cost of sales is therefore :

= 7, 752, 000 - 1, 254, 000

= $ 6, 498, 000

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The full question is:

Sheridan Industries had sales in 2021 of $7,752,000 and gross profit of $1,254,000. Management is considering two alternative budget plans to increase its gross profit in 2022. To do this this, management first needs to determine its cost of sales. Find the cost of sales for 2021.

The perimeter of the figure is 58 m.

To find the perimeter of the given figure we can divide the figure in three rectangles.

Rectangle 1:

Perimeter= 2 (l + w)

= 2(5 + 2)

= 2 x 7

= 14 m

Rectangle 2:

Perimeter= 2 (l + w)

= 2(5 + 1)

= 2 x 6

= 12 m

Rectangle 3:

Perimeter= 2 (l + w)

= 2(14 + 2)

= 2 x 16

= 32 m

So, the perimeter of the figure is

= 14 + 12 + 32

= 58 m

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The time taken for the money to grow to $8670 at compound interest is approximately 9.24 years.

Given the amount of money that is the principal = $6000

Rate = 4% compounded quarterly.

Time = t

Amount = $8670

Now we know that the amount is calculated by the formula:

A = P(1+r/4)ⁿ

8670 = 6000(1+0.01)ⁿ

Hence

log 1.445 = n log 1.01

or, n = 36.99

Number of years = 36.99 / 4 = 9.24 years.

The interest that is added to a loan or deposit is referred to as compound interest. Compound interest is computed for a sum utilizing both the principal and interest already paid. The main distinction between compound interest and simple interest is this.

If we look at our bank statements, interest is usually credited to our account once a year. While the principle remains constant, the interest changes annually.

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Answer: 4

Step-by-step explanation: You multiplied 2 and 2 which equals to 4

Answer:

9

Step-by-step explanation:

9 9 9 9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9  9 9 9 9 9  9 9 9 9 9 9 9  9 9 9 9 9

Answer:

683004.00

3854.93

Step-by-step explanation: