ASAPPPPPPPPP
Which polynomial function f(x) has a leading coefficient of 1, roots -5, 3, and 6 with multiplicity 1, and root-2 with
multiplicity 3?
Of(x) = 3(x + 2)(x + 5)(x - 3)(x-6)
Of(x) = 3(x - 2)(x - 5)(x + 3)(x + 6)
Of(x) = (x + 2)(x + 2)(x + 2)(x + 5)(x - 3)(x - 6)
O f(x) = (x - 2)(x - 2)(x - 2)(x - 5)(x + 3)(x + 6)

Answer:

Step-by-step explanation:

Since there are 985 square feet to cover, and it costs 12.50 per square foot, you multiply 12.50 by 985 to get 12,312.50, the total cost and answer.

Cost of 1 shirt=$7.5 and 1 pant cost=$18.5

A linear equation is an equation where the optimal strength of the variables is usually unity. 1 Diploma Also known as the equation. The trend form of a single-variable linear equation is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The trendy form of linear equations in variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant. 

Now for the given Question:

Let the cost of shirt and pant be x and y respectively.

Then the linear equations will be;

3x+5y=115          (1)

4x+3y=85.5        (2)

Now we will balance the coefficient of x in both the equation so

multiplying equation 1 and 2 with 4 and 3 respectively then the equations become,

12x+20y=460          (3)

12x+9y=256.5          (4)

subtracting equation 4 from 3 we get

11y=203.5

y=203.5/11

y= $18.5

substituting above value of y in equation 1 we get

4x+5*18.5=85.5

4x+55.5=85.5

4x=85.5-55.5

4x=30

x=30/4

x=$7.5

Hence cost of shirt and pant are $7.5 and $18.5 respectively.

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Answer:

C VOTE BRAINlY

Step-by-step explanation:

Answer:

Step-by-step explanation:

if (x,y) is the centroid. Then x=(x1+x2+x3)/3,y=(y1+y2+y3)/3

5.

x=(-2+4+10)/3=4

y=(6+0+6)/3=4

centroid=(4,4)

6.

x=(3+5-2)/3=2

y=(3-1+1)/3=1

centroid=(2,1)

Answer:

false 1 is equal to its own square

Answer:

D:  x = -4

Step-by-step explanation:

Given equation:

(2x - 10)(3x + 12) = 0

Therefore:

⇒ 2x - 10 = 0

⇒ 2x = 10

⇒ x = 5

And:

⇒ 3x + 12 = 0

⇒ 3x = -12

⇒ x = -4

So the possible solutions of the equation are x = 5 or x = -4

Answer:

D: r = -4

Explanation:

\(\rightarrow \sf (2x-10)(3x+12)=0\)

set to zero

\(\rightarrow \sf 2x-10=0, \:3x+12=0\)

change sides

\(\rightarrow \sf 2x=10, \:3x=-12\)

simplify

\(\sf \rightarrow x=5,\:x=-4\)

Answer:

Step-by-Step Solution

0.4 = 2/5 as a fraction

To convert the decimal 0.4 to a fraction, just follow these steps:

Step 1: Write down the number as a fraction of one:

0.4 = 0.41

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

0.41 = (0.4 × 10)(1 × 10) = 410.

Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(4,10) = 2. So,

(4÷2)(10÷2) = 2/5 when reduced to the simplest form.

Answer:

15

Step-by-step explanation:

x + 2y

Putting x = 7, y = 4, we have

7 + 2(4)

= 7 + 8

= 15

Hope it helps.

If you have any query, feel free to ask.

Step-by-step explanation:

It's saying x = 7 and y = 4, which means everywhere there is an x, you'll place a 7 and everywhere there is a y, you'll place a 4

x + 2y turns into (7) + 2(4)

Now we can answer the bottom question

2(4) = 8

7 + 8 = 15

so...

If x =7 and y=4, then x+2y= 15

Answer:

2a + 3 = 5a

8a - 12 = -4a

5a + 5a + -4a + -4a

10a + -4a + -4a

2a

The statistical decision based on the reported results of the hypothesis test is that the null hypothesis was rejected at the α = .05 significance level.

The t-value reported is 2.38, and the degrees of freedom are 21. This suggests that the test was likely a t-test with an independent samples design, where the sample size was n = 22 (since df = n - 1).

The p-value reported is less than .05, which indicates that the probability of obtaining the observed results, or results more extreme, under the assumption that the null hypothesis is true, is less than .05. Therefore, the null hypothesis is rejected at the .05 significance level in favor of the alternative hypothesis.

In conclusion, the statistical decision is that there is sufficient evidence to suggest that the population means are not equal, and the sample size was 22. However, we do not have information about the direction of the effect (i.e., whether the difference was positive or negative).

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36x + 324 - 28x + 196

combine like terms: 36x - 28x = 8x and 324 + 196 = 520

8x+520

Answer:

25%

Step-by-step explanation:

25 out of 100 is 25%

Answer:

The slope is 3, the function in the table has a slope of 3.5

Step-by-step explanation:

For the equation, you can just look at the number before x for the slope. For the table, you need to form an equation. (1,5.5) (2,9) are the points that I would use. The equation is y=3.5x-2, the slope is 3.5.

The function in the table has greater rate  of change .

Given,

Line equation : y = 3x - 6

Tabular data .

Now,

In line,

y = 3x - 6

Compare it with the standard form of line

y = mx + c

Hence the slope of line is 3 .

Now the slope of table,

m = y2 - y1 /x2 - x1

m = 9 - 5.5 / 2 - 1

m = 3.5

Slope of table is 3.5 .

Thus the table data has greater slope and thus have a greater rate of change than the line .

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It will take 5 seconds for the waste to hit the ground.

We know that the bird releases the waste from a height of 400ft, so the height equation is:

\(h(t) = -16t^2 + 400\)

The waste will hit the ground when its height is equal to zero, so we just need to solve the quadratic equation:

\(h(t) = 0 = -16t^2 + 400\\\\16t^2 = 400\\\\t^2 = 400/16 = 25\\\\\)

Now we can apply the square root in both sides:

\(t = \sqrt{25} = 5\)

It will take 5 seconds for the waste to hit the ground.

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Answer:

175%

Step-by-step explanation:

175% in a decimal is 1.75 multiply this by 16 and you have 28 there's the percent increase

1. meters/second

2. $/pound

3. $/ tire

4. people/class

5. miles/gallons

6. calories/serving

Answer:

Step-by-step explanation:

Ratio problem, we are going to use the part to all approach

Step one:

given data

the ratio of peanuts to other nuts is 6 to 5

otherwise expressed as 6:5

the total ratio is 6+5= 11

the total number of peanut is 414

let the other nuts be x

6/5=414/x

cross multiply we have

414*5= 6x

2070=6x

divide both sides by 6

x=2070/6

x=345

345 other nuts

Answer: Kyle will earn 6h dollars babysitting for h hours, and 6 x 4 = 24 dollars babysitting for 4 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The parabola's vertex is located at (-2, 8). The parabola's graph is then depicted below.

Let a be the leading coefficient and the parabola's vertex be the point (h, k). The parabola's equation will therefore be stated as,

y = a(x - h)² + k

The parabola's equation is stated as,

y = -(x + 2)² + 8

The downward-pointing parabola is represented by the negative sign.

The vertex of the parabola is at (-2, 8), according to the equation above. The parabola's graph is then depicted below.

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Answer:

96

Step-by-step explanation:

multiply by 12 because thats how many inches are in a foot

There are 96 inches in 8 feet.

There are 60 inches in 5 feet. Therefore,

5 feet = 60 inches

8 feet = ?

cross multiply

length in inches = 60 × 8 / 5

length in inches = 480 / 5

length in inches = 96 inches.

Therefore, there are 96 inches in 8 feet.

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Answer: A

Step-by-step explanation: I would say A because the angle is greater than 90 degrees

Answer:

We have supplementary angles.

76 + 3x + 2 = 180

3x + 78 = 180

3x = 102

x = 34

In a simple linear regression model, the coefficient of the independent variable (x) in the estimated sample regression equation indicates the change in the predicted value of the dependent variable (y) when x increases by one unit. This coefficient is also known as the slope of the regression line. Therefore, to calculate the predicted value of y, we multiply the coefficient by the value of x and add the intercept.

In a simple linear regression model, the coefficient that indicates the change in the predicted value of y when x increases by one unit is the "slope coefficient" or the "regression coefficient" (usually denoted as b1). This coefficient represents the relationship between the independent variable x and the dependent variable y.

The linear regression equation is given as:

y = b0 + b1 * x

Where:
- y is the predicted value of the dependent variable
- b0 is the intercept coefficient (where the line intersects the y-axis)
- b1 is the slope coefficient (the change in y when x increases by one unit)
- x is the independent variable

In this equation, b1 indicates the change in the predicted value of y when x increases by one unit.

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Answer:

(-7)^8

Step-by-step explanation:

You write as (-7) to the power of n where n is the #of times you write (-7)

Answer:

-7

Step-by-step explanation:

The distance, that car will travel in 15 minute, is 28 km.

The formula used to explain the relationship between speed, distance, and time is speed distance time.

That is speed = distance/ time

So, distance = speed * time

Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs.

Given Speed of car = 112 km per hour

Time = 15 minutes = 15/60 hour

Time = 1/4 hour

Distance traveled by car in 15 minute = Speed of car * time

Distance = 112 * 1/4

Distance = 28 km

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The probability that the sample proportion will be greater than 0.78 is:

78% of 400 is 0.78× 400 = 312.

So this probability is 1 subtracted by the p value of Z when x = 312

Z = (X - μ)/σ

We are going to approximate the binomial distribution to the normal.

Binomial probability distribution-

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

E(X) = np

The standard deviation of the binomial distribution is:

√V(X) = √np(1 - p)

Normal probability distribution-

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean and standard deviation o, the zscore of a measure X is given by:

Z = (X-μ)/σ

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z- score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that-

μ = E (X), σ = √V√(X).

In this problem, we have that:

n=400, p=0.8

So = E(X)=np=400-0.8=320

σ = √V(X) = √np(1-p)=√400×√0.8×√0.2=8

Hence, the probability that the sample proportion will be greater than 0.78 is:

78% of 400 is 0.78× 400 = 312.

So this probability is 1 subtracted by the p value of Z when x = 312

Z = (X - μ)/σ

Z = (312- 320)/8.

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\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

Answer:B. The number is composite. Its prime factors written as a product are (5*3^3*2^2)

Step-by-step explanation:

Since 540 is an even number, that means it can be divided by 2. This means that the number is composite.

You can keep dividing it by 2 until you can't anymore.

Once you divide 540 by 2 twice, then you get 135.

You can divide it by 5 because the ones digit is 5.

Then you get 27, which is 3 times itself 3 times.

You finally multiply the numbers you divided by, and you get 2*2*5*3*3*3, which is 5*3^3*2^2.

The metric system of measurement is based on the number 10.

This system is also known as the International System of Units (SI) and is used in most countries around the world. In the metric system, various units of measurement are defined as multiples or fractions of a base unit, which is defined for each quantity being measured. For example, the base unit for length is the meter, and the base unit for mass is the kilogram. Prefixes such as kilo-, centi-, and milli- are used to indicate multiples or fractions of the base unit, based on factors of 10. For example, a kilometer is 1000 meters, a centimeter is 1/100 of a meter, and a milligram is 1/1000 of a gram. This makes the metric system easy to use and convert between units, as well as consistent and universally recognized.

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Exercise 40: u = [-1 1], v = [-2 4]
The projection of v onto u is -1/2, as it is the component of v in the same direction as u.
Exercise 41: u = [3/5 -4/5], v [1 2]
The projection of v onto u is -4/5, as it is the component of v in the same direction as u.

Exercise 40: u = [-1 1], v = [-2 4]
The projection of v onto u is -1/2, as it is the component of v in the same direction as u. To draw a sketch, draw two vectors with the given coordinates, and then draw a vector from the tail of v that is one half of the length of u.

Exercise 41: u = [3/5 -4/5], v [1 2]
The projection of v onto u is -4/5, as it is the component of v in the same direction as u. To draw a sketch, draw two vectors with the given coordinates, and then draw a vector from the tail of v that is four fifths of the length of u.

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Answer: c. √65

Step-by-step explanation:

that’s what’s right on khan