I need help, I don’t know which one would have factors of 5x-8

I Need Help, I Dont Know Which One Would Have Factors Of 5x-8

Answers

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

factor:

5x - 8

Step 02:

difference of squares:

(5x - 8)(5x + 8) = 25x² - 64

The answer is:

25x² - 64


Related Questions

The function g is defined as follows for the domain given g(x) = 3x - 2 , omain = \{- 2, - 1, 0, 1\} Write the range of g using set notation. Then graph g

Answers

Given: The function below

[tex]\begin{gathered} g(x)=3x-2 \\ Domain:\lbrace-2,-1,-0,1\rbrace \end{gathered}[/tex]

To Determine: The range and the graph of g

Solution

The range is as given below

[tex]\begin{gathered} x=-2 \\ g(-2)=3(-2)-2=-6-2=-8 \\ x=-1 \\ g(-1)=3(-1)-2=-3-2=-5 \end{gathered}[/tex][tex]\begin{gathered} x=0 \\ g(0)=3(0)-2=0-2=-2 \\ x=1 \\ g(1)=3(1)-2=3-2=1 \end{gathered}[/tex]

Hence, the range is

{-8, -5, -2, 1}

Let us form a table showing the domain(x) and the range (g(x))

Let us use the table to plot graph of the domain(x) against the range(g(x)) as below

What is the answer for 5p+10 = 8p+1

Answers

The equation is given to be:

[tex]5p+10\: =\: 8p+1[/tex]

We can solve for p using the following steps:

Step 1: Subtract 10 from both sides of the equation

[tex]\begin{gathered} 5p+10-10=8p+1-10 \\ 5p=8p-9 \end{gathered}[/tex]

Step 2: Subtract 8p from both sides of the equation

[tex]\begin{gathered} 5p-8p=8p-9-8p \\ -3p=-9 \end{gathered}[/tex]

Step 3: Multiply both sides by -1

[tex]\begin{gathered} -1\times(-3p)=-1\times(-9) \\ 3p=9 \end{gathered}[/tex]

Step 4: Divide both sides by 3

[tex]\begin{gathered} \frac{3p}{3}=\frac{9}{3} \\ p=3 \end{gathered}[/tex]

ANSWER:

[tex]p=3[/tex]

Ethan and Evan are twins. They each deposit $3,000 into separate bank accounts.Their accounts each accrue interest annually as shown in the tables below.

Answers

Part A.

Ethan's account can be model as a linear equation since it is increasing at a constant rate of the form:

[tex]y=240x+3000[/tex]

And Evan's account can be model as a exponential equation of the form:

[tex]y=3000(1.08)^x[/tex]

Part B:

Evaluate the 1st and 2nd equation for x = 5:

[tex]\begin{gathered} y=240(5)+3000=4200 \\ y=3000(1.08)^5=4407.98 \\ so\colon \\ \frac{4407.98}{4200}=1.05 \end{gathered}[/tex]

It would be 1.05 higher

two integers a and b have a product of 36 what is the least possible answer

Answers

Answer:

the answer is 12

Step-by-step explanation:

In short, a = 6 and b = 6. We can make a table of various values to help confirm that 12 is the smallest sum.

Answer: 1

Step-by-step explanation: 1 is the least possible answer because an integer is any number and 1x36 would be the least possible answer for the product.

Drag the factors to the correct locations on the image. Not all factors will be used.What is the factored form of this expression?27 m 3 + 125n39m + 25n9m2 - 15mn + 25n23m + 5n9m2 + 15mn + 2523m2 – 8mn + 5123m - 5n

Answers

[tex]27m^3+125n^3=(3m+5n)(9m^2-15mn+25n^2)[/tex]

Find the domain of the function represented by the list of ordered pairs

Answers

The domain of a function is always represented by the values of X. In the ordered pair, they are always the first value of the pair.

The domain is the first number of each pair.

Domain: {-1, -10, 8, 6}.

Please see photo checking my work I think it is all the students attending the college

Answers

Answer:

A population is the entire group that you want to draw conclusions about.

So, in this exercise, the population is all the students attending the college.

Can someone help me with 7? I’m desperate

Answers

Congruence simply means the triangles have the same size side lengths and angle measurements regardless of rotation.

Chloe's car used 15 gallons to travel 570 miles. How many gallons of gas would she need to travel 380 miles?

Answers

Answer:

10

Step-by-step explanation:

I divided 570 by 15 to see how many miles she can travel per gallon of gas which came out to be 38.

After that i divided the 380 by the 38. 380÷38 is 10.

Answer:

Need:

10 gallons

Step-by-step explanation:

Proportions:

15 gallons ⇒ 570 miles

A gallons ⇒ 380 miles

A = 15gallons * 380miles / 570miles

A = 10 gallons

Express the sum of the angles of this triangle in two different waysX3/2X1/2X

Answers

1) Since the sum of these angles is written in terms of x, we can write it out:

[tex]\begin{gathered} x+\frac{3}{2}x+\frac{1}{2}x\text{ } \\ \frac{2x+3x+x}{2} \\ \frac{6x}{2} \\ 3x \end{gathered}[/tex]

Notice that to sum these fractions we had to take the LCM(2, 1) = 2 and rewrite it as a sum.

2) Another way of writing the sum of these angles is writing it as a sum of decimal numbers since we can rewrite fractions as decimal numbers.

3/2 = 3÷2 = 1.5

1/2 = 1÷2 =0.5

1

[tex]\begin{gathered} x+1.5x+0.5x \\ x+2x \\ 3x \end{gathered}[/tex]

The average number of moves a person makes in his or her lifetime is 12 and the standard deviation is 3.1. Assume that the sample is taken from a large population and the correction factor can be ignored. Round the final answers to four decimal places and intermediate z value calculations to two decimal places.Find the probability that the mean of a sample of 25 people is less than 10.Find the probability that the mean of a sample of 25 people is greater than 10.Find the probability that the mean of a sample of 25 people is between 11 and 12.

Answers

The z-score is given by the following formula:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Where x is the data point, μ is the mean, and σ is the standard deviation.

First

You have 1/4 of a quiche left over from lunch. If you sent 4/6 of the leftover quiche home with your brother, how much of the quiche do you have left in the dish?

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

If the brother took home 4/6, that means that you still have 2/6.

[tex]\frac{1}{4}[/tex] x [tex]\frac{2}{6}[/tex] = [tex]\frac{2}{24}[/tex] which is the same as 1/12

15. x=m<1=I'll upload a picture of my HW

Answers

Opposite angles are the same

Then:

[tex]\begin{gathered} 6x+4=8x\text{ - }18 \\ 18+4=8x\text{ -}6x \\ 22=\text{ 2x} \\ x=\text{ 22/2} \\ x=11 \end{gathered}[/tex]

So: (Remember the line has a 180º degrees

Write the equation of each line in slope intercept form (see attached)

Answers

As we can see we have a horizontal line, the slope of the horizontal line is zero

the form of the equation of the line in slop-intercept form is

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept.

In our case m=0

[tex]\begin{gathered} y=(0)x+b \\ y=b \end{gathered}[/tex]

in this case the y-intercept is b=-4

Therefore the equation is

[tex]y=-4[/tex]

ANSWER

y=-4

Which is the equation of the line that passes through the points (-4, 8) and (1, 3)?A. Y=x+4B. Y=-x+12C. Y=-x+4D. Y=x+12

Answers

In order to find the equation that passes through both points, we can use the slope-intercept form of the linear equation:

[tex]y=mx+b[/tex]

Where m is the slope and b is the y-intercept.

Using the given points on this equation, we have:

[tex]\begin{gathered} (-4,8)\colon \\ 8=m\cdot(-4)+b \\ b=8+4m \\ \\ (1,3)\colon \\ 3=m+b \\ 3=m+8+4m \\ 5m=3-8 \\ 5m=-5 \\ m=-1 \\ b=8+4\cdot(-1)=8-4=4 \end{gathered}[/tex]

Therefore the equation is y = -x + 4 (correct option: C)

A committee must be formed with 4 teachers and 4 students. If there are 7 teachers to choose from, and 9 students, how many different ways could the committee be made?

Answers

ANSWER

4,410

EXPLANATION

The number of ways we can choose 4 teachers from 7 teachers is,

[tex]_7C_4=\frac{7!}{(7-4)!\times4!}=\frac{7\times6\times5\times4!}{3!\times4!}=\frac{7\times6\times5}{3\times2}=\frac{7\times6\times5}{6}=7\times5=35[/tex]

There are 35 ways of choosing 4 teachers out of 7.

And the number of ways we can choose 4 students from 9 students is,

[tex]\begin{gathered} _9C_4=\frac{9!}{(9-4)!\times4!}=\frac{9\times8\times7\times6\times5\times4!}{5!\times4!}=\frac{9\times8\times7\times6\times5}{5\times4\times3\times2} \\ _9C_4=\frac{9\times8\times7}{4}=\frac{9\times(2\times4)\times7}{4}=9\times7\times2=126 \end{gathered}[/tex]

There are 126 ways of choosing 4 students out of 9.

The committee is formed by 4 teachers and 4 students. The number of ways it can be made is,

[tex]_7C_4\times_9C_4=35\times126=4,410[/tex]

Hence, there are 4,410 ways to choose 4 students and 4 teachers out of 9 students and 7 teachers.

The drama club was selling ticketsto the school play. Adult ticketscost $8.00 each, and studenttickets cost $5.00 each. The littletheater holds 142 people and wassold out for both Friday andSaturday. The total sales for thetwo days was $1,948.00.1. How many adult tickets weresold out over the two days?2. How many student tickets weresold out over the two days?

Answers

We are given a problem that can be solved using a system of linear equations. Let A, be the number of adults, and S the number of students. Since there are in total 142 people and there were two days, this means that the sum of the number of adults and the number of students must be 284, which can be written mathematically as follows:

[tex]A+S=284,(1)[/tex]

This is our first equation. The second equation is found using the total sales of $1948. Since the ticket per adult is $8 and per student is $5, we have the following equations:

[tex]8A+5S=1948,(2)[/tex]

To solve this equation we will solve for A in equation (1), by subtracting S to both sides;

[tex]\begin{gathered} A+S-S=284-S \\ A=284-S \end{gathered}[/tex]

Now we will replace this value in equation (2):

[tex]8(284-S)+5S=1948[/tex]

Now we will apply the distributive property:

[tex]2272-8S+5S=1948[/tex]

Addins like terms:

[tex]2272-3S=1948[/tex]

Subtracting 2272 to both sides;

[tex]\begin{gathered} 2272-2272-3S=1948-2272 \\ -3S=-324 \end{gathered}[/tex]

Dividing both sides by -3:

[tex]S=-\frac{324}{-3}=108[/tex]

Now we replace this value in equation (1), where we have already solved for A:

[tex]\begin{gathered} A=248-108 \\ A=140 \end{gathered}[/tex]

Therefore, there were sold 108 student tickets and 140 adult tickets.

y varies inversely as x. y = 18 when x = 7. Find y when x = 3.y=(Simplify your answer.)

Answers

[tex]\begin{gathered} y=\frac{k}{x} \\ \text{when y = 18, x = 7} \\ k\text{ = xy = 18}\times7\text{ = 126} \\ \text{Also, using} \\ y=\frac{k}{x} \\ y\text{ =}\frac{126}{3}\text{ = 42} \end{gathered}[/tex]

How do I use the calculator to find log10 6, to 3 decimal places please?

Answers

Your calculator uses base 10 for its logs

There should be a button that says log

That is a base 10 log

log 6 = .77815125

To 3 decimal places

log 6 = .778

The base 10 is implied

create a system of equations to represent this situation. be sure to explain the meaning of each variable. graph the system of equations. determine the break even point for Chuck E Cheese and Bright Child, Adventure Plex and Bright Child, Adventure Plex and Chuck E Cheese.

Answers

For them, let x = number of children of the party and

A=Adventure Plext cost

B= Bright Child cost

C= Chuck E Cheese cost

So,

[tex]\begin{gathered} A=300+12x \\ B=180+15x \\ C=18x \end{gathered}[/tex]

Then, graphing each equation of the system of equations

Now, for determine the break even point for Chuck E Cheese and Bright Child you have

[tex]\begin{gathered} 180+15x=18x \\ 180=18x-15x \\ 180=3x \\ \frac{180}{3}=x \\ 60=x \end{gathered}[/tex]

That is, the break even point for Chuck E Cheese and Bright Child occurs when x = 60 children.

For determine the break even point for Adventure Plex and Bright Child you have

[tex]\begin{gathered} 300+12x=180+15x \\ 300+12x-180=180+15x-180 \\ 120+12x=15x \\ 120+12x-12x=15x-12x \\ 120=3x \\ \frac{120}{3}=\frac{3x}{3} \\ 40=x \end{gathered}[/tex]

That is, the break even point for Adventure Plex and Bright Child occurs when x = 40 children.

Finally, For determine the break even point for Adventure Plex y Chuck E Cheese you have

[tex]\begin{gathered} 300+12x=18x \\ 300+12x-12x=18x-12x \\ 300=6x \\ \frac{300}{6}=\frac{6x}{6} \\ 50=x \end{gathered}[/tex]

That is, the break even point for Adventure Plex and Chuck E Cheese occurs when x = 50 children.

Find the equation of the axis of symmetry of the following parabola using graphingtechnology.y = x^2 – 8x + 32

Answers

Explanation:

If we graph this parabola we can see the vertex at point (4, 16)

The axis of simmetry is a vertical line that passes through the vertex of the parabola.

Any vertical line's equation is:

[tex]x=a[/tex]

'a' is any value of x.

Answer:

The equation of the axis of simmetry is x = 4

Jackson deposited $160 a month into an account earning 7.2% compounded monthly for 12 years. He left the accumulated amount for another 3 years at the same interest rate. How much total interest did he earn?

Answers

Using the formula for the compound interest, we have:

[tex]\begin{gathered} A=P(1+\frac{r}{n})^{nt} \\ \text{ A:amount,P:principal,r:rate,n: number of times interest is compounded per year,t:time in years.} \\ A=160(1+\frac{0.072}{12})^{12\cdot15}\text{ (Replacing the values)} \\ A=160(1+0.006)^{180}\text{ (Dividing and multiplying)} \\ A=160\cdot2.935\text{ (Adding and raising the result to the power of 180)} \\ A=469.63\text{ (Multiplying)} \\ \text{Interest}=\text{ Amount - Principal=469.63}-160=309.63 \\ \text{The answer is \$309.63} \end{gathered}[/tex]

simplify x⁹ divided by x^5

Answers

Answer:

[tex]x^{4}[/tex]

Step-by-step explanation:


Whenever it comes to the division of the same variable, we subtract their powers in order to get the correct answer:

[tex]x^{9}/x^{5}[/tex]
[tex]x^{9-5}[/tex]
[tex]x^{4}[/tex]

Which fraction is represented by point A on the numb 0 -1 O- 1 4. 4 1 1

Answers

The fraction that represent the point A is -1/4.

Since there are 4 divition in between -1 and 0.

Thus the length of one division is,

[tex]undefined[/tex]

Solve 2x - 8 < 7...........................................................................

Answers

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data:

2x - 8 < 7

Step 02:

inequality:

2x - 8 < 7

2x - 8 + 8 < 7 + 8

2x / 2 < 15 / 2

x < 15 / 2

The answer is:

x < 15 / 2

(-oo , 15/2)

reduce 45/10 to halves

Answers

The answer would be 9 halfs or 9/2

Round to the nearest thousand.52.60552,605 rounded to the nearest thousand is

Answers

[tex]52\text{ , 605 to the nearest thousand}[/tex][tex]52,610\text{ to the nearest ten}[/tex][tex]52,600\text{ to the nearest hundred }[/tex][tex]53,000\text{ to the nearest thousand}[/tex][tex]If\text{ we round the number given to the nearest thousand, we have 53,000}[/tex]

Graph the inequality and give interval notation for the solution. Use two o's (as in octopus) forinifinity and a U for union as needed.-- 5x + 4 >I 19 OR – 22 - 15 – 3-8 -7 -6 -5-4-3-2-] 022345678Clear All Draw:Interval notation for the above inequality and graph is

Answers

- 5x + 4 > 19

1st step let us move 4 to the other side by subtracting both sides by 4

- 5x + 4 - 4 > 19 - 4

- 5x > 15

2nd step is move - 5 to the other side by dividing both sides by -5, BUT when we divide the sides of an inequality by a negative number we must reverse the sign of inequality

[tex]\frac{-5x}{-5}<\frac{15}{-5}[/tex]

x < -3

The solution is all values smaller than -3

On the number, line draw an empty circle at -3 then draw from it an arrow pointing to the left ( - ve infinity)

The solution is {x : x < -3} or (-00, -3)

The pie chart below shows how the annual budget for a certain company is divided by department. If the amount budgets forceditoral and sales combined is12,500,000, what is the total annual budget

Answers

Explanation

We are asked to find the total annual budget given that the combined amount for sales and editorial is $12,500,000

To do so, let the total combined amount be x

If we check for the combined percentages for the amount for sales and editorial, we will have

[tex]21\text{ \%}+4\text{ \% = 25\%}[/tex]

Thus, we can set up the equation

[tex]25\text{ \% of x = 12,500,00}[/tex]

Solving for x

[tex]\begin{gathered} \frac{25}{100}\times x=12500000 \\ \\ \frac{x}{4}=12500000 \\ \\ x=4\times12,500,000 \\ \\ x=50,000,000 \\ \end{gathered}[/tex]

Therefore, the total annual budget will be $50,000,000

Compute the square root of 532 to the nearest tenth. Use the "divideand average method.

Answers

ANSWER:

[tex]\sqrt[]{532}\cong23.065[/tex]

STEP-BY-STEP EXPLANATION:

We have the following square root

[tex]\sqrt[]{532}[/tex]

We calculate by means of the divide and average method.

The first thing is to look for exact roots between those two values

Step 1 estimate

[tex]\begin{gathered} \sqrt[]{539}<\sqrt[]{532}<\sqrt[]{576} \\ 23<\sqrt[]{532}<24 \\ \text{Estimate 23.5} \end{gathered}[/tex]

Step 2 divide

[tex]\frac{532}{23.5}=22.63[/tex]

Step 3 average:

[tex]\frac{23.5+22.63}{2}=\frac{46.13}{2}=23.065[/tex]

Therefore:

[tex]\sqrt[]{532}\cong23.065[/tex]

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