Mathematics College

Factoring trinomials and difference of squares. I need to understand the steps.

Factoring Trinomials And Difference Of Squares. I Need To Understand The Steps.

Answers

Answer 1

Answer:

Factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Step-by-step explanation:

We need to solve the polynomial: [tex]3x^2-75[/tex]

First we see that 3 is common term, so taking 3 as common

[tex]3(x^2-25)[/tex]

We know that 25 = 5x5 = 5²

So, replacing 25 with 5²

[tex]3(x^2-5^2)[/tex]

We know that, [tex]a^2-b^2=(a-b)(a+b)[/tex]

Applying this in our equation: [tex]x^2-5^2=(x+5)(x-5)[/tex]

[tex]3(x+5)(x-5)[/tex]

So, factoring the term [tex]3x^2-75[/tex] we get [tex]\mathbf{3(x+5)(x-5)}[/tex]

Related Questions

Find an equation of the parabola with vertex (2, -1) and directrix y=-7.

Answers

Answer:

the answer to this is y=7x-15

What is the midpoint of KL

Answers

Answer:

k

Step-by-step explanation:

Answer:

Ummm... You didn't attach a picture lol.

Step-by-step explanation:

Have a great day! Good luck!

The solution is...?
Thanks in advance.

Answers

Answer:

Answer has been attached above thanks

Please help guys!!!!!!

Answers

Answer:I think its 68

Step-by-step explanation:

Answer:

The measure of angle N is 68 degrees.

Step-by-step explanation:

Since this shape is a parallelogram, opposite angles will be equivalent. So to start, set (6x - 2) equal to (4x + 36).

— 6x - 2 = 4x + 36

Next, subtarct the 4x from both sides of the equation as well as add 2 to both sides of the equation an simplify.

— 6x - 4x - 2 + 2 = 4x - 4x + 36 + 2

— 2x = 38

Now, divide both sides of the equation by 2 to find the value of x.

— 2x/2 = 38/2

— x = 19

Finally, substitute 19 for every x in the original equation. Simplify.

— 6(19) - 2 = 4(19) + 36

— 114 - 2 = 76 + 36

— 112 = 112

We now know that these two angles are 112 degrees. If a parallelogram's angles must add up to 360 degrees, then subtract 112 twice from 360 to find the combined total angle measure of N and Q. Then divide that number by 2 to find the measure of N.

— 360 - 112 - 112 = 136

— 136/2 = 68

The measure of angle N is 68 degrees.

student 1 y=-3x+x student 2 y=7x/10 student 3 y=4(2-x) Which students write an equation of a nonlinear function?

Answers

Answer:

its 547632

Step-by-step explanation:

cuz yeeeeeeeeee

A group of students were in a disagreement about how to solve for x in the figure.
Which method could be used to solve?
x
12
30%

Answers

Answer:

C.using sin(30⁰).

because A=sin 30⁰bh

HELP PLEASE FAST ILL MARK BRAINLIEST IF CORRECT 20 points!!

Answers

Answer:

8.49

Step-by-step explanation:

6^2 + 6^2 = 72

√72 = 8.485... = 8.49

f(x) = 2x + 3 - (x + 10 )

Answers

F(x)=2x+3-(x+10)
0=2x+3-x-10
0=x-7
-x=-7
x=7

Hans drove 715 miles in 13 hours.
At the same rate, how long would it take him to drive 275 miles?

Answers

Answer:

It would take hans around 5 hours to drive 275

Step-by-step explanation:

first we divide 715 by 13 which gives us 55, so in 1 hour he can drive 55 miles then we do 275 divided by 55 which gives us 5, so the answer is 5.

At the rate 55 miles per hour, it takes 5 hours to travel 275 miles.

Given that, Hans drove 715 miles in 13 hours.

Average speed is calculated by dividing a quantity by the time required to obtain that quantity. Meters per second is the SI unit of speed. The formula S = d/t, where S is the average speed, d is the total distance, and t is the total time, is used to determine average speed.

Here, average speed = 715/13

= 55 miles per hour

At the same rate,

Time = 275/55

= 5 hours

Therefore, at the rate 55 miles per hour, it takes 5 hours to travel 275 miles.

Learn more about the average speed here:

brainly.com/question/9834403.

#SPJ6

Hey! Help me with this Question Please!

Answers

Answer:

c

Step-by-step explanation:

beacuse if you multiply all

Answer:

C

Step-by-step explanation :

The side length is 30 and if it's 3cm for 5 that would be 18, and since we are doing area we need to multiple that 18 by itself since it's a square and squares side lengths are the same

Which set of ordered pairs is made up of points on the graph of the function below? y=2x+3

Answers

(0, -6) , (1 , -4) , ( 2 , -2)
Please tell me if I’m wrong

7
Complete the statement. Round to the nearest hundredth if necessary.
39 ft
yd

Answers

Answer:

1.7 mi

Step-by-step explanation:

10 ( y - 2)
what is the answer

Answers

Answer:

10y-20

Step-by-step explanation:

sorry if I am incorrect

10y -20 I think not sure about it

Question 28 (1 point)
Describe the slope of the line. Then find the slope.
4
2
(3, 1)
-2
+(3, 3)
4
a
a
zero; 0
positive; 1
Ob
Ос
negative; - 1
d
undefined

Answers

a negative (-1) is correct

4x + 6y = 2
-4x+ 4y = -12

Answers

Answer: (2,-1)

Step-by-step explanation: I learned this earlier in the year

You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 2000 points to continue on to the next level. Write and solve an inequality that represents the number d of diamonds you must collect in less than 2 minutes to advance to the next level.
NEED HELP ASAP

Answers

Answer:

i need helppppppppppppppp

Step-by-step explanation:

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 14 feet and a height of 19 feet. Container B has a diameter of 12 feet and a height of 20 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full.

After the pumping is complete, what is the volume of water remaining in Container A, to the nearest tenth of a cubic foot?

Answers

Answer:

6ft

Step-by-step explanation:

12/2 =6 which means its 6 ft, ur welcome

Answer:

6ft

Step-by-step explanation:

***If you found this answer please press the heart button and mark me brainliest, thanks!***

Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.

Answers

Answer:

x^2 + 11x + 24

Step-by-step explanation:

x^2 + 3x + 8x + 24 =

= x^2 + 11x + 24

Pls helpooooooooo indeddhelpillgovebrqinlyidkwkek

Answers

Answer:

3-7×14 1294

6.-40

Step-by-step explanation:

mark me as brainliest

Afla suma a trei numere ,stiind ca primul este succesorul numarului 999 ,al doilea este cu 1.872 mai mare ,iar al treilea cat primele doua la un loc.

Answers

Answer:

7744

Step-by-step explanation:

Din informațiile furnizate:

Succesorul primului număr 999 = 1000

Al doilea este cu 1872 mai mare= 1872 + 1000 = 2872

Al treilea care sunt primele două împreună = 1000 + 2872 = 3872

∴

Suma celor trei numere = 1000 + 2872 + 3872

= 7744

Car x travels 162 miles in 3 hours: write an equation of the line that describes the relationship between distance and time. Use x for the time in hours and y for the distance in miles

Answers

Answer:

A:The equation y=54x describes the relationship

B: y as 216 and x being 4

If a car travels for 0​ hours, it will travel 0 ​mile(s). This means it will pass through the point (0,0)

.Use the slope to move 3 units to the right of the origin and

162 ​unit(s) up to find the point

(3,162) that can be used to graph the relationship. Step-by-step explanation:

Write these numbers in order of size.
Start with the smallest number


0.13 3/20 12% 1/10 0.09

Answers

.09, 1/10,12%,0.13,3/20

I need help please thank you

Answers

Answer:

D I'm sure....................... :D

Answer:

ok surly yes always

Step-by-step explanation:

i think it is D

Write an equation in point-slope form for the line through the given point with the given slope. (-3,5); m=2/3

Answers

Answer:

The equation in the point-slope form will be:

[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]

Step-by-step explanation:

Given

point = (-3, 5)slope = m = 2/3

Using the point-slope form of line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

here

m is the slope(x₁, y₁) is the point

substituting the values m = 2/3 and the point (-3, 5)  in the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]

Thus,  the equation in the point-slope form will be:

[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]

NOTE: The equation in the point-slope can be further simplified such as:

[tex]y-5=\frac{2}{3}\left(x-\left(-3\right)\right)[/tex]

[tex]y-5=\frac{2}{3}\left(x+3\right)[/tex]

Add 5 to both sides

[tex]y-5+5=\frac{2}{3}\left(x+3\right)+5[/tex]

[tex]y=\frac{2}{3}x+7[/tex]


PLEASE HELP 6TH GRADE

Answers

First one is 7+x and the second one is 3y or 3 times y

what is the slope of (1,6) (3,0)

Answers

Answer:

-3

Step-by-step explanation:

Use the slope formula:

y2-y1/x2-x1 to find the slope

0-6/3-1 = -6/2, or -3

Answer:

m  =  − 3

Step-by-step explanation:

Combine the like terms for this problem:
За + 9y - 7а - 2y + 6а - Зу​

Answers

Answer:

2a - 4y

Step-by-step explanation:

Answer:

(3a -7a + 6a) + (9y - 2y - 3y)

          2a + 4y is the final answer

Step-by-step explanation:

PLZ SOMEONE HELP ME WHAT IS 10 + 10 devided by 10 then subtracted by 0 then + 1000000000

Answers

Answer:

10+10= 20/10= 2-0= 2+1000000000= 1000000002

Step-by-step explanation:

Answer:

the answer is 1000000011

Step-by-step explanation:

10+10/10-0

10/10=1

10+1-0

11-0=11

1000000011

Find f(-2)for f(x)-3 . 2^x

Answers

B. 3/4 is the correct answer
Answer:

Yes B is correct

Explanation:

After you simplify the expression, the exact form is 3/4

12
11
14
15
13
16
17
>
19
19
20
0
Which property was used to write the equation in step 2?
Step 1: 5(x-7) - 55
Step 2 5x-35-55
Step 3 (5x=90
Step 4
X = 18
VA
distributive property
o addition property of equality
o subtraction property of equality
o division property of equality
Yes

Answers

Answer:

distributive proper

Step-by-step explanation:

mulitiply

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