Factor the trinomial 6x^{2} + 5x - 25. Which of the following is a factor?

Factor The Trinomial 6x^{2} + 5x - 25. Which Of The Following Is A Factor?

Answers

Answer 1

Answer:

its (3x-5)

Step-by-step explanation:

Answer 2

Answer:

C. (3x - 5)

Step-by-step explanation:

1. Find a solution pair that gives the sum of b (5):

-10 + 15 = 5

2. Break the expression into groups:

(6x² - 10x) + (15x - 25)

3. Factor out the common factor in each group:

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

4. Factor out the common pair (3x - 5) using the distributive property:

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

hope this helps!


Related Questions

Find the length of the third side. If necessary, round to the nearest tenth
Pythagorean Theorem (Rounding)

Answers

Answer:

Step-by-step explanation:

Pythagoteon Theorem:

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

So:

[tex]a^2+2^2=4^2[/tex]

[tex]a^2+4=16[/tex]

[tex]a^2=12[/tex]

[tex]\sqrt{a} = \sqrt{12}[/tex]

[tex]a = 3.464101615[/tex]

WILL GIVE BRAINLIEST The points Q(0,1), R(-9,-5), s(-7, -8), and T(2,-2) form rectangle QRST. Plot the points then click the "Graph Quadrilateral" button. Then find the area of the rectangle.​

Answers

well, we know its a rectangle, so  hmmm opposite sides are not just parallel but equal, hmmm so the area of this rectangle we can get by Length * Width, in this case that'll be QT * TS

[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ Q(\stackrel{x_1}{0}~,~\stackrel{y_1}{1})\qquad T(\stackrel{x_2}{2}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ QT=\sqrt{[2 - 0]^2 + [-2 - 1]^2}\implies QT=\sqrt{2^2 + (-3)^2}\implies QT=\sqrt{13} \\\\[-0.35em] ~\dotfill[/tex]

[tex]T(\stackrel{x_1}{2}~,~\stackrel{y_1}{-2})\qquad S(\stackrel{x_2}{-7}~,~\stackrel{y_2}{-8})~\hfill TS=\sqrt{[-7 - 2]^2 + [-8 - (-2)]^2} \\\\\\ TS=\sqrt{(-9)^2 + (-8+2)^2}\implies TS=\sqrt{117} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{\sqrt{13}\cdot \sqrt{117}\implies \sqrt{1521}\implies 39}[/tex]

a porsche, can travel 576 m in 32 s. what is its average speed?​

Answers

Step-by-step explanation:

Displacement = 576 m

Time taken = 32s

Now

[tex]average \: speed = \frac{distance \: travelled}{time \: taken} \\ = \frac{576}{32} \\ = 18 m/s[/tex]

HURRY SO EASY COMPUTER IS ABOUT TO DIE AGAIN
The pencils at a store cost $0.65 each. Each pencil weighs 1.85 ounces. All the pencils at the store have a combined weight of 44.4 ounces. How much would it cost to buy all the pencils at the store?

Answers

Answer:

$15.60

Step-by-step explanation:

Hey there!

In order to solve this word problem, we need to find out how much pencils there are first

To do that, we need to take the total amount of pencil weight, which is 44.4 ounces, and divide that by the weight of one pencil, which is 1.85

44.4 divided by 1.85 is 24

So now we know that there are 24 pencils total in that store

What they are asking is how much does it cost to buy all the pencils in the store

It is already given that one pencil costs $0.65 and we found out that there are 24 pencils in total

So what we need to do is multiply 24 and 0.65 to find out the total cost of all the pencils in the store

24 times 0.65 is 15.60

So the cost to buy all the pencils at the store is $15.60

Does anyone know the answer to this?

Answers

Answer:

Excuse me, Where is the question??

-5x+2<12 please someone help

Answers

Answer:

[tex]\boxed{\sf{x > -2}}[/tex]

Step-by-step explanation:

Put the term x on one side of the equation.

-5x+2<12

Subtract by 2 from both sides.

[tex]\Longrightarrow: \sf{-5x+2-2 < 12-2}[/tex]

Solve.

Subtract the numbers from left to right.

⇒ 12-2=10

⇒ -5x<10

Multiply by -1 from both sides.

⇒ (-5x)(-1)>10(-1)

Solve.

Multiply the numbers from left to right.

-5x*-1=5x

10*-1=-10

→ 5x>-10

Divide by 5 from both sides.

→ 5x/5>-10/5

Solve.

Divide the numbers from left to right.

-10/5=-2

[tex]\Longrightarrow: \boxed{\sf{x > -2}}[/tex]

Therefore, the correct answer is x>-2.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

[tex]x > -2[/tex]

Step-by-step explanation:

Given the following question:

[tex]-5x+2 < 12[/tex]

To find this answer we subtract two on both sides then isolate the variable by dividing 5 on both sides.

[tex]-5x+2 < 12[/tex]
[tex]2-2=0[/tex]
[tex]12-2=0[/tex]
[tex]-5x < 10[/tex]
[tex]-5x\div-5=x[/tex]
[tex]10\div-5=-2[/tex]
[tex]x > -2[/tex]

Which means your answer is "x > -2."

Hope this helps.

NEED HELP ASAP GEOMETRY

Answers

Answer:

BBCADD that is the awnser

Step-by-step explanation:

or a triangle XD

I need help with this question.

Answers

Step-by-step explanation:

the volume of a cylinder is as for any regular shaped object

ground area × height

here the ground area is a circle, so we get

pi×r²×h

with r being the radius (half the diameter), and h the height.

therefore,

pi×(2.7/2)²×10 = 3.14×1.8225×10 = 57.25552611... cm³

so, the first option is correct.

(7.8 x 10^3) (1.0 x 10^4) =?

Answers

Answer:

78000000

Step-by-step explanation:

(7.8 x 10^3) (1.0 x 10^4) =?

What is the volume of a rectangular prism with a length of 10 inches, a width of 5 inches, and a height of 8 inches?

Answers

Answer:

400 in.

Step-by-step explanation:

V= l x w x h

V=10 x 5 x 8 =400 in.

PLS HELP ME ASAP I WILL MARK THE BRAINLIEST

Answers

For Cylinder:

SA = 578.05 yd^3

V = 955.04 yd^3

For Trapezoidal Prism:

SA = 510.4 ft^2

V = 275 ft^3

Cylinder: Second Image

diameter - D

area - A

radius - R

height - H

volume - V

surface area - SA

PI = 3.14159...

R = D/2

R = 8/2

R = 4 yd

Surface Area:

SA = 2×PI×R×H + 2×PI×R^2

SA = 2×(3.14159×4×19) + 2(3.14159×(4)^2)

SA = 578.05 yd^3

Volume:

V = PI×(R^2)×h

V = 3.14159×(4^2) × 19

V= 955.04 yd^3

Trapezoidal Prism: First Image

lateral area - LA

area of base - BA

base - B

width - W

height - H

volume - V

surface area - SA

Volume:

V = BA × H

V =( L×W + 0.5(B×H)) × H

V = (5×7 + 0.5(8×5)) × 5

V = 275 ft^3

Surface area:

Lateral area is the sum of all the areas excluding the area of the base.

LA = a×l + b×l + c×l + d×l

LA = l(a+ b + c + d)

LA = 11(5 + 9.4 + 15 + 7)

LA = 400.4 ft^2

BA = L×W + 0.5(B×H)

BA = 5×7 + 0.5(8×5)

BA = 55 ft^2

SA = 2×BA + LA

SA = 2×55 + 400.4

SA = 510.4 ft^2

Help!
just pick the right option thanks

Answers

Answer:

A:)

Step-by-step explanation:

l and lll

The answer is D. II and IV

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Answers

Answer: 48

Step-by-step explanation:

You are curious about the amount of coffee that the giant fountain cup could

actually hold.

The dimensions of the fountain cup are as follows:

• Height is 8 feet.

• Diameter of the top is 6 feet.

• Diameter of the base is 4 feet.

Use this formula with height, h, radius of the base, base, and radius of the

top, "top, to determine the volume of the cup:

V =

(an) ((base)? + (Pbase) (Ftop) + (rtop) 3).

There are 7. 5 gallons of liquid per cubic foot.

Enter the volume, in gallons, of the fountain cup.

Answers

Assuming there are 7. 5 gallons of liquid per cubic foot. The volume of the cup is: 1,193.8 gallons.

Volume of the cup

Using this formula

V =πh/3 [(r base)²+ ( r base) (r top) + (r top) ²]

Where:

height of cup (h)= 8 feet

radius of base of cup (r base)= 4 feet/2=2 feet

radius of top of cup (r top)= 6 feet/2=3 feet

Let plug in the formula

V =πh/3 [(8)²+ (2) (3) + (3) ²]

V =πh/3×8×19

V=152 π/3

Hence:

Volume of the cup in gallons=152 π/3 ×7.5

Volume of the cup in gallons=477.52208334564/3×7.5

Volume of the cup in gallons=1,193.8gallons

Therefore the volume of the cup is: 1,193.8 gallons.

Learn more about volume here:https://brainly.com/question/23648151

Given the following unit circle, rotate green dot to the appropriate angle and then find the exact value of the function.

Answers

Answer:

you can find the aswer in the question and the in the frist sentes of the question

Step-by-step explanation:

A city council is considering funding a proposal to create a new city park. The council members will fund the proposal if they conclude that more than 60 percent of the city residents support the proposal. A survey of 2,000 randomly selected city residents will be conducted to investigate the level of support for the proposal. Let X represent the number of city residents in the sample who support the proposal. Assume that X is a binomial random variable.
A. Determine the mean and standard deviation of the random variable X, assuming that 60 percent of city residents support the proposal
B. Assume that 60 percent of city residents support the proposal. Use a normal approximation and the mean and standard deviation from part a to determine the values of k1 and k2 (the left and right boundaries of the middle .997 area)
C. The survey was conducted, and 1293 of the 2000 city residents supported the proposal. Do your answers in part b and the survey support the funding of the proposal? Justify your answer.

Answers

The mean and standard deviation of the random variable X if 60 percent of city residents support the proposal is 1200 and 21.9 respectively.

How to calculate the mean?

From the information given, the mean of the binomial variable x will be:

= 2000 × 60%

= 2000 × 0.6

= 1200

The standard deviation will be:

= ✓n × ✓p(1 - p)

= ✓1200 × ✓0.4

= ✓480

= 21.9

Also, the mean and standard deviation to determine the values of k1 and k2 will be -3 and 3.

Lastly, the test statistic will be:

= (0.65 - 0.60)/(✓0.60 × (0.40) /2000

= 0.05/✓0.24/2000

= 0.05/0.011

= 4.55

The z value at 5% significance level is 1.64. This supports the funding of the proposal.

Learn more about mean on:

https://brainly.com/question/1136789

i need help 9th grade math

Answers

Answer:

(f + g)(x) = x + 5

Explanation:

f(x) = 2x + 3

g(x) = 3x + 2

===========

(f + g)(x)f(x) + g(x)2x + 3 + 3x + 25x + 5

Answer:

[tex](f+g)(x)=5x+5[/tex]

Step-by-step explanation:

Given:

[tex]f(x)=2x+3[/tex]

[tex]g(x)=3x+2[/tex]

[tex]\begin{aligned}(f+g)(x) & =f(x)+g(x)\\ & = (2x+3)+(3x+2)\\ & = 2x+3+3x+2\\ & =2x+3x+3+2\\ & = 5x + 5\end{aligned}[/tex]

Find the length of b to the nearest tenth.
(BRAINLIEST :D)

Answers

Answer:

1.7

Step-by-step explanation:

You can use the 30/60/90 triangle rule, but it was quicker for me to do. SIN(60)=b/2. If you want a more in depth explanation just reply to this but I have to go right now so I will do it later.

The illustration below shows the graph of
y
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x
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Complete the following sentences based on the graph of the function.
(Enter the
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This is the graph of a

function.
The
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y=y, equals

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The
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x=x, equals

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The greatest value of
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For
x
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x=2x, equals, 2 and
x
=
6
x=6x, equals, 6, the function value
y

yy


0
00.

Answers

This is the graph of a NON-LINEAR FUNCTION

The y intercept of the graph is the function value y=-6

The x intercepts of the graph are located at x=2 and x=6

The greatest value of y is y= 2 and it occurs when x=4

For x between x=2 and x=6, the function value y≥0

Hope this helped :>

Convert 3 kilometres into metres

Answers

Answer:

3000m

Step-by-step explanation:

First, note that km is the same as kilometers and m is the same as meters. Thus, when you are asking to convert 3 km to m, you are asking to convert 3 kilometers to meters.

A kilometer is larger than a meter. Simply put, km is larger than m. In fact, a kilometer is "10 to the power of 3" larger than a meter.

Since a kilometer is 10^3 larger than a meter, it means that the conversion factor for km to m is 10^3. Therefore, you can multiply 3 km by 10^3 to get 3 km converted to m.

Here is the answer with the math showing you how to convert 3 km to m by multiplying 3 by the conversion factor of 10^3.

3 x 10^3

= 3000

3 km

= 3000 m

Answer:

3000 m

Step-by-step explanation:

Unit conversion :

1000 m = 1 km

Solving :

Let the missing value be 'x' mThen, according to this ratio :x/3 = 1000/1x = 1000 * 3x = 3000 m

Dante is solving the system of equations below.
r+S-=-4
2r-35+=1
3r-2s+21= 3
He writes the row echelon form of the matrix. Which matrix did Dante write?

Answers

Answer:

The answer is the first matrix. Image attached.

Step-by-step explanation: Given that Dante is solving the system of equations:

In solving the above system of equations, Dante writes the row echelon form of the matrix. We are to select the correct row echelon of the matrix that he wrote.

We know that a matrix is said to be in row echelon form if the leading entry in each nonzero row is a 1 and each column containing a leading 1 has zeros everywhere else.

In the given options, these conditions are satisfied by the first option only. And also, if we write the solution from this matrix, we will have

r = -1,  s = 0  and  t = 3.

If we substitute these values in the given system, it will get satisfied.

Thus, the first matrix, attached herewith, is the correct matrix.

24.2 16.9 6.7 Per. =​

Answers

Check the picture below.

A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?

Answers

Answer:

$76.80

Step-by-step explanation:

since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2  which = $25.60

he get's 25.60 for 40 miles

since 120 divided by 3 = 40 this means:

40x3=120

25.60x3=76.80

25.60+25.60=51.20+25.60= 76.80

Hope this helps!

Brainliest please!

Please fully rate!

Have a great day!

Please help!! 40 Points!!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

B

[tex]12^{5x}[/tex] × [tex]12^{-7}[/tex] = [tex]12^{5x-7}[/tex]

C

[tex]x^{4}[/tex][tex]y^{6k+2}[/tex] × x²[tex]y^{-1}[/tex]

= [tex]x^{4}[/tex] × x² × [tex]y^{6k+2}[/tex] × [tex]y^{-1}[/tex]

= [tex]x^{(4+2)}[/tex] × [tex]y^{(6k+2-1)}[/tex]

= [tex]x^{6}[/tex][tex]y^{6k+1}[/tex]

#A

a^b+a^c=a^b+c

#B

12^5x×12^-712^5x-7

#C

x⁴y^6k+2×x²y^-1x⁶y^6k+2-1x⁶y^6k+1

Bill can paint a closet in 2 hours. Joe can paint the same in 7 hours. Write equation that can used to find long paint the closet working together. Let represent the number both to complete the job.

Answers

Answer:

14/9 hours

Step-by-step explanation: 1/2+1/7=9/14, so 1/(9/14)=14/9

An oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches. what is the volume of the oblique cone? round to the nearest tenth. 142.4 cubic units 142.4 square units 196.0 cubic units 196.0 square units

Answers

The volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

Volume of a cone

The formula for calculating the volume of an oblique cone is expressed as:

V = (1/3) * π * r² * h.

where

r is the radius

h is the height

Given the following parameters

r = 4 units

h = 8.5 units

Substitute

V = (1/3) * 3.14 * 4² * 8.5.

V = 142.4 cubic inches

Hence the volume of an oblique cone has a radius of 4 units, a height of 8.5 units is 142.4 cubic inches

Learn more on volume of cone here: https://brainly.com/question/1082469

Answer: 142.4

Step-by-step explanation:

Yo I need to bring up my math grade bad so
y>-x+4
(please show it graphed already :D

Answers

Answer: See attached

Step-by-step explanation:

y > -x + 4

   [] The line will be dashed as this is only greater than, not greater than an equal to like ≥

   [] We will shade above the line because the values are greater than

   [] The line will have a slope of negative one

   [] The line will have a y-intercept of 4

   

    If you need more than the graph and the details above please let me know.

2(7+1)divided by 4+5

Answers

2(7 + 1) : 4 + 5 = 9/
1=9

Select the polynomial that is a perfect square trinomial.
A. 9x2 + 9x + 1
B. 36b2 − 24b + 8
C.16x2 + 24x + 9
D.4a2 − 10a + 25

Answers

Answer:

option c 16x²+24x+9

please mark me as brainlist

PLEASE HELP ASAPPP IM TIMED

Answers

[tex]\textbf{a).}\\\\r^2-12r+32\\\\=r^2 -8r-4r+32\\ \\=r(r-8) -4(r-8)\\\\=(r-8)(r-4)\\\\\textbf{b).}\\\\5a^2-7a-6\\\\=5a^2-10a+3a-6\\\\=5a(a-2)+3(a-2)\\\\=(a-2)(5a+3)\\\\\textbf{c).}\\\\16g^2+40g+25\\\\=(4g)^2 +2\cdot 5\cdot 4g+5^2\\\\=(4g+5)^2\\\\=(4g+5)(4g+5)[/tex]

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