write the product in standard form (2x + 5) ^2

f(x) times g(x) = 8x^2+8x-6

(2x-1) times (4x+6) = 8x^2+8x-6

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

Explanation:

The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.

It's very likely that the answer is a multiplication sign because of the general template of

(linear)*(linear) = (quadratic)

For example, x*3x = 3x^2.

Let's see if the two functions multiply out to 8x^2+8x-6 or not.

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

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )

f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1

f(x) * g(x) = 4xy + 6y   ......... distribute

f(x) * g(x) = 4x( y ) + 6( y )

f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1

f(x) * g(x) = 8x^2-4x  + 12x-6  .... distribute twice more

f(x) * g(x) = 8x^2+8x-6

We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.

9514 1404 393

Answer:

  False

Step-by-step explanation:

The terms of a geometric series would have a common ratio. The terms of this series do not. (The differences increase by 1 each time, so it is a quadratic series.)

False, the series is not geometric.

Answer:

We are given with the series

6 + 8 + 11 + 15 + 20 + 26

Since

the series is increasing by +1. So, it will be not a geometric series

[tex] \\ [/tex]

Answer:

$7.50

Step-by-step explanation:

you add 40.50 + 4.50 which then equals 45 and you divide that by 6 and you get 7.50

One ticket costs $7.50 without the coupon this we obtained by dividing total cost before discount  by Number of tickets

Let us find the total cost of the tickets before the coupon is applied. We can do this by adding the discount amount ($4.50) to the final cost ($40.50):

Total cost before discount = Final cost + Discount amount

Total cost before discount = $40.50 + $4.50

Total cost before discount = $45.00

Now we can divide the total cost before discount by the number of tickets

(6) to find the cost of one ticket:

Cost of one ticket = Total cost before discount / Number of tickets

Cost of one ticket = $45.00 / 6

Cost of one ticket = $7.50

Therefore, one ticket costs $7.50 without the coupon.

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Answer:

152

Step-by-step explanation:

Answer:

The solution is 2000 + 0.0575*2000*10 = 3150 dollars at the end of 10 years.

Step-by-step explanation:

Answer:

x < 26

Step-by-step explanation:

Given the following algebraic expression;

x - 30 < -4

To find the value of x in its simplest form;

First of all, we would have to rearrange the algebraic expression to make the variable on one side and the integer on the other side;

Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.

x < -4 + 30

x < 26

Answer:

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

73% of voters support it.

This means that [tex]p = 0.73[/tex]

Sample of 20 voters

This means that [tex]n = 20[/tex]

Mean and standard deviation:

[tex]\mu = p = 0.73[/tex]

[tex]s = \sqrt{\frac{p(1-p)}{n}} = \sqrt{\frac{0.73*0.27}{20}} = 0.0993[/tex]

The standard error of the sample proportion is 0.0993.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is

12/20 = 0.6, so this is the p-value of Z when X = 0.6.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0.6 - 0.73}{0.0993}[/tex]

[tex]Z = -1.31[/tex]

[tex]Z = -1.31[/tex] has a p-value of 0.0951.

So

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

The standard error of the sample proportion is 0.0098.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951

Given that,

Suppose that there is a school bond referendum in Greensboro, and 73% of voters support it.

You randomly ask 20 Greensboro voters whether they support the bond referendum.

We have to determine,

The standard error of the sample proportion is.

The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is .

According to the question,

There is a school bond referendum in Greensboro, and 73% of voters support it.

20 Greensboro voters whether they support the bond referendum.

[tex]standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

Where, p = 73% = 0.73

And n = 20

Therefore,

[tex]Standard \ deviation = \sqrt{\dfrac{p(1-p)}{n}}\\\\ Standard \ deviation = \sqrt{\dfrac{0.73(1-0.73)}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.73\times 0.27}{20}}\\\\Standard \ deviation = \sqrt{\dfrac{0.19}{20}}\\\\Standard \ deviation = 0.0098[/tex]

The standard error of the sample proportion is 0.0098.

[tex]\dfrac{12}{20 }= 0.6[/tex]

 This is the p-value of Z when X = 0.6.

Therefore,

[tex]Z = \dfrac{X-\mu}{\sigma}\\\\Z = \dfrac{0.6-0.73}{0.993}\\\\Z = -1.31\\\\[/tex]

Z = -1.31 has a p-value of 0.0951.

Hence, The probability that 12 or fewer people (out of 20) in your sample support the bond referendum is 0.0951.

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Answer:

759

Step-by-step explanation:

Answer:

520=20x+234

15 packages

Step-by-step explanation:

520-234

286

286/20

14.3, so she needs 15 packages

Answer:

answer is 150

Step-by-step explanation:

hope it helps

Answer:

hewo Asuna here

your answer is C

Step-by-step explanation:

hope this helps^^

Answer:

true

Step-by-step explanation:

They are dependent because the outcome of the event affects them

Answer:

Option A , (0, 20); y equals one over eighty times x squared plus 20

Step-by-step explanation:

The equation of parabola is given by  

(X-h)^2 = 4p(Y-k)^2

In this case h = 0

So we get  

Y = X^2/4P +k

Focus point is (h, p+k) , p+k = 40

Hence h, k = (0,20)

P = 40-k = 20

Equation Y = X^2/80 +20

Hence, option A is correct

plz mark brainliest

Answer: A

Step-by-step explanation:

Answer:

[tex]\huge \fbox \pink {A}\huge \fbox \green {n}\huge \fbox \blue {s}\huge \fbox \red {w}\huge \fbox \purple {e}\huge \fbox \orange {r}[/tex]

[tex] \frac{28}{13} \\ = 2.15[/tex]

Answer:

28/13 or 2.15384615

Step-by-step explanation:

28/13 is the most simplified form of the fraction. If you were to calculate it out it would be 2.15384615.

Answer:

answer is B

Step-by-step explanation:

got it right on edge :)

Answer:

I can help you via Watsapp

Answer:

86°

Step-by-step explanation:

Answer:

115

Step-by-step explanation:

41 no costume, 78 exactly one costume, 10 more than one costume.

41+78+\color{steelblue}{10}=

41+78+10=

\,\,\color{indianred}{129}

129

There were a toal of 129 visitors. 10 purchased more than one costume.

Probability the next customer will purchase more than one costume:

\frac{\color{steelblue}{10}}{\color{indianred}{129}}\phantom{=}

129

10

​  

=

\,\,

Out of 2000 new trials, we would expect more than one costume to be selected:

\color{purple}{2000}\times\frac{\color{steelblue}{\color{steelblue}{10}}}{\color{indianred}{\color{indianred}{129}}}=

2000×  

129

10

​  

=

\,\,155.038759...

155.038759...

\approx

≈

\,\,155

155

The number of visitors that expect to buy more than one costume will be 155.

The expected value is given below.

E(x) = np

Where n is the number of samples and p is the probability.

Aaron creates a website where players may trade and purchase these costumes. The numbers below show how many people visited the website and how many costumes were bought in a single day.

The probability of visitors purchasing more than one costume is calculated as,

p = 10 / (41 + 78 + 10)

p = 10 / 129

If next week, he is expecting 2000 visitors. Then the expected value is given as,

E = 2000 x (10 / 129)

E = 155.038

E ≈ 155

The number of visitors that expect to buy more than one costume will be 155.

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Answer:

9

Step-by-step explanation:

The first question is how many ways can I get one letter from the word FUN?

That is 3.

Similarly, how many ways can I get one letter from the word NOT?

That is also 3.

Then one letter from FUN and one letter from NOT gives= 3 * 3 = 9

Answer:

a) 0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

b) 0.0228 = 2.28% probability that the average is greater than 1,158.

c) 0 = 0% probability that the average is less than 950.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A certain type of automobile battery is known to last an average of 1,150 days with a standard deviation of 40 days.

This means that [tex]\mu = 1150, \sigma = 40[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{40}{\sqrt{100}} = 4[/tex]

(a) The average is between 1,142 and 1,150.

This is the pvalue of Z when X = 1150 subtracted by the pvalue of Z when X = 1142. So

X = 1150

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1150 - 1150}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 1142

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1142 - 1150}{4}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.5 - 0.0228 = 0.4772

0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

(b) The average is greater than 1,158.

This is 1 subtracted by the pvalue of Z when X = 1158. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1158 - 1150}{4}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average is greater than 1,158.

(c) The average is less than 950.

This is the pvalue of Z when X = 950. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{950 - 1150}{4}[/tex]

[tex]Z = -50[/tex]

[tex]Z = -50[/tex] has a pvalue of 0

0 = 0% probability that the average is less than 950.

Answer:

Outside, as the distance between the point and the center of the circle is more than the radius.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x-x_0)^2 + (y-y_0)^2 = r^2[/tex]

In which [tex](x_0,y_0)[/tex] is the center and r is the radius.

Testing if a point is inside the circle:

Point (x,y), we replace in the equation. If it is less than the radius squared(in this case, 62), it is in.

In this question:

Point (-3,-5). So

[tex](-3+7)^2 + (-5-2)^2 = 4^2 + (-7)^2 = 16 + 49 = 65[/tex]

The square distance of the point to the center is of 65, which is more than the square of the radius, meaning that the point is outside the circle.

Answer:

Outside

Step-by-step explanation:

Answer:

672 meters squared

Step-by-step explanation:

Area of Triangle: b*h*1/2

The isosceles triangle's height, splits the base in half.

Answer:

672

Step-by-step explanation:

Area of a triangle = [tex]\frac{bh}{2}[/tex]

where b = base length and h = height

In the triangle shown, we are only given the base length

This means that we must find the height in order to find the area.

We can do this by using the Pythagorean theorem

[tex]a^2+b^2=c^2[/tex]

where a and b = legs and c = hypotenuse

Two right triangles are formed within the isosceles triangle.

Each has a hypotenuse of 50 m, a base length of 28/2=14m ( because they are sharing the base length ) and they are both sharing the height.

So we are given the hypotenuse and a leg and we need to find the other leg

So we plug in what we are given and solve for the missing side length

[tex]50^2=a^2+14^2\\50^2=2500\\14^2=196\\2500=a^2+196[/tex]

step 1 subtract 196 from each side

2500 - 196 = 2304

196 - 196 cancels out

we now have 2304 = a²

step 2 take the square root of each side

[tex]\sqrt{a^2} =a\\\sqrt{2304} =48[/tex]

we're left with a = 48

This means that the height of the isosceles triangle is 48m

Now we can find the area.

Using the formula stated previous....

[tex]A=\frac{28*48}{2} \\28*48=1344\\\frac{1344}{2} =672[/tex]

Hence, the area is 672m²

Answer:

90 degrees it looks like

Step-by-step explanation:

Answer:

C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°

Step-by-step explanation:

I calculated it logically

Answer: C

Step-by-step explanation: 5pi converts to 15.70796

Answer:

slightly less than 15 of b.

Answer:

72

Step-by-step explanation:

6x4=24x3=72

Given:

The polynomial is:

[tex]P(x)=ax+b[/tex]

To find:

Whether [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial or not.

Solution:

We have,

[tex]P(x)=ax+b[/tex]

Putting [tex]x=-\dfrac{b}{a}[/tex], we get

[tex]P(-\dfrac{b}{a})=a(-\dfrac{b}{a})+b[/tex]

[tex]P(-\dfrac{b}{a})=-b+b[/tex]

[tex]P(-\dfrac{b}{a})=0[/tex]

Since the value of the given polynomial is 0 at [tex]x=-\dfrac{b}{a}[/tex], therefore [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial.

Answer:

Option B, 105 would be correct

Step-by-step explanation:

The Vertical Angles Theorem states that angles that are opposite diagonally are congruent, therefore; ? = 105°

Hope this helps!