(2x + 5)(2x - 5)
find the product

Answers

Answer 1

Answer:

4x^2 -25

Step-by-step explanation:

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

FOIL

first: 2x*2x = 4x^2

outer : 2x*-5 = -10x

inner : 5*2x = 10x

last: -5*5 = -25

Add them together

4x^2 -10x +10x -25

Combine terms

4x^2 -25

Answer 2

Answer:

4x²- 25

Step-by-step explanation:

Let's use the FOIL (First, Outer, Inner, Last) method to solve:

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

FOIL

First:

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

2x(2x)

= 4x²

FOIL

Outer:

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

2x(-5)

= -10x

FOIL

Inner:

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

5(2x)

= 10x

FOIL

Last:

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

(5)(-5)

= -25

Let's put it all together:

4x² - 10x + 10x - 25

Combine like terms:

4x² - 10x + 10x - 25

4x²- 25

Therefore, the product is 4x²- 25.


Related Questions

write down in terms of n an expression of the following sequences
a) 12 10 8 6 4
b) 25 20 15 10 5​

Answers

Answer:

[tex]-2n+14[/tex]

[tex]-5n+30[/tex]

Step-by-step explanation:

-2 difference.

[tex]u_{n} =-2n+c[/tex]

[tex]u_{1} =-2(1)+c=12[/tex]

[tex]c=14[/tex]

-5 difference.

[tex]u_{n} =-5n+c[/tex]

[tex]u_{1} =-5(1)+c=25[/tex]

[tex]c=30[/tex]

9. What is the volume of the triangular prism
below?
5cm
3 cm
4cm
3 cm


Need help ASAP

Answers

I need a picture of the prism but my guess would be 5 , the first one !

please help i don’t know what to do and this will help me pass 7th grade thank you!!!

Answers

Height of table is 18 inches

Height of one block is 2 inches

The height would be 34 inches with 8 blocks ✌️

Answer:

Well each block is 2

Step-by-step explanation:

cause the height of the table is 18 itself it says in the table and one block just adds 2

i hope it's right sorry if it's not

I understand the struggle

PLZ HELP ME!!!! maths isn't my best subject. brainiest to be given

Answers

Answer:

4

30

8

Step-by-step explanation:

students in the group i would get 30 by adding all the frequency column together

the mean is 40/5 which is 8

the range of marks is the difference between the smallest number and the greatest number in the set so the difference of 6 and 10 which is 4

Answer:

Ans no.1) 4

Ans.no.2) 30

Ans.no3) 8

Step-by-step explanation:

no.1) to find a range we have to do subtract from the highest mark and the smallest mark

no.2) to find the total student you have to add up the frequency

no.3) to find the range first add up all the mark and count the total no. ( 5 ) then divide it by the sum of the no. and the count of no.

15) Martha wants to put carpet in a rectangular room that measures 14 feet by 16 feet. There is a section in front of
the door which measures 3 feet by 4 feet that will remain tiled. How many square feet of carpet will Martha need?

Answers

Answer:

5 ft

Step-by-step explanation:

Each of three friends flips a coin 71 times. The results for each friend are shown in the tables. Find the Each of three friends flips a coin 71 times. The results for each friend are shown in the tables. Find the relative frequency for the event ​"heads​" for each friend. If the friends combine their results to get 101 heads and 112 ​tails, what is the relative frequency for the event ​"heads​"? Use pencil and paper. Suppose each friend flips a coin 710 times. Is there a value you would expect the relative frequency for the event ​"heads​" to be close​ to?

Answers

For friend 1, the relative frequency is [tex]\frac{25}{71}\approx 0.352.[/tex]

For friend 2, it's [tex]\frac{53}{71}\approx 0.746,[/tex] and for friend 3, it's [tex]\frac{23}{71}\approx 0.319.[/tex]

Combining the data of all three would give a relative frequency of [tex]\frac{101}{213}\approx 0.474.[/tex]

If each friend were to flip a coin 710 times, assuming the coin to be a fair coin, we'd expect about half of the flips to be heads, so the relative frequency would be close to 0.5.

2,-4,8,-16
What is the next term in the sequence?

Answers

Answer:

32

Step-by-step explanation:

every time we are multiplying by -2 so if we do -16 x -2 we will get postive 32

Answer:

36

Step-by-step explanation:

it is a pattern of times -2

Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!

Answers

Answer:

(7,7)

Step-by-step explanation:

The maximum point in a graph is where the y value is the highest. On this graph, the point (7,7) has the highest y value of 7 of the entire graph, making it the maximum. Hope this helps!

The Happy-Go-Lucky Beach was 163 feet long from parking lot to high tide. After last year's hurricane came ashore, the beach only measured 154 feet

long. What was the percent of change?

About 94.5% of increase

About 94.5 % of decrease

About 5.5% increase

About 5.5% decrease

Answers

Answer:

About 5.5% decrease

Step-by-step explanation:

Here, we want to calculate the percentage increase or decrease and its value.

The first thing to do here is to check if we are going to have a decrease or an increase.

since the value before the change is higher than the value after the change, then what we have is a decrease.

Mathematically, the percentage decrease is calculated as follows;

% decrease = (old value - new value)/old value * 100%

old value = 163 feet

new value = 154 feet

% decrease = (154-163)/163 * 100%

% decrease = -9/163 * 100%

% decrease = -5.52%

Thus the best answer is about 5.5% decrease

Can I get some help plz

Answers

Answer:

3rd choice

Step-by-step explanation:

Samy's car can hold 20 gallons of
gasoline in its fuel tank. It is 3/4 full. He
can travel 15 miles for every gallon of
gasoline.
Rosa car has 13 gallons of gasoline in
the fuel tank and she can travel 19 miles
for every gallon of gasoline.
If they both start at the same place and
travel at the same constant speed, who
will go farther?
Answer:.
Justification:​

Answers

Answer:

Rosa will go farther.

Step-by-step explanation:

1. Samy's travel distance.

3/4 of 20

3/4 * 20 = 15 gallons

15 miles for every gallon

15 * 15 = 225

Samy's travel distance is 225 mIles

2. Rosa travel distance.

13 gallons

19 miles for every gallon

19 * 13 = 247 mIles

Rosa's travel distance is 247 mIles.

Solve the following equation:
2/3 - 1/x = 13/15

Answers

Answer:

x=−5

Step-by-step explanation:

Steps:

Step 1 to 4 : Simplify

Steps 5: Calculating the Least Common Multiple

Steps 6: Calculating Multipliers

The correct answer for this question is x=−5

Answer: x=−5

Hope this helps.

Answer:

x = -5

Step-by-step explanation:

2/3 - 1/x = 13/15

Subtract 2/3 from each side

2/3 -2/3 - 1/x = 13/15 -2/3

-1/x = 13/15 - 2/3

Getting a common denominator

-1/x = 13/15 -2/3*5/5

-1/x = 13/15 - 10/15

-1/x = 3/15

Using cross products

3x = -15

Divide each side by 3

3x/3 = -15/3

x = -5

9. y=-2(x-3)
10. 12x + 30 y = 10
11. y = -5x+2
12. y=6+36-1)
13. y-3 = 2x
14. y=-3-4(x+9)


intercept form

Answers

the answers is 11 because it has y=mx+b

Answer:

9. y= -2x+6

10. y= -0.4x+ [tex]\frac{1}{3}[/tex]

11. y = -5x+2

12. y=41

13. y=2x+3

14. y= -4x-39

Step-by-step explanation:

9.

y= -2(x-3)

y= -2x+6

10.

12x+30y=10

Subtract 12x from both sides

30y=10-12x

Divide both sides by 30

y= -0.4x+ [tex]\frac{1}{3}[/tex]

11.

y = -5x+2

(Already solved)

12.

y=6+36-1

y=41

13.

y-3=2x

Add 3 to both sides

y=2x+3

14.

y= -3-4(x+9)

y= -3-4x-36

y= -4x-39

Number 4 please I need help please I need help please help me

Answers

Answer:

The perimeter is 112 m

Step-by-step explanation:

The perimeter is the sum of all the edges

26+ 12 + 18 +? + ?+ 30

The two question marks add to 26 so replace them with 26

26+ 12 + 18 +26+ 30

112

The perimeter is 112 m

Please answer correctly !!!!!!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

see explanation

Step-by-step explanation:

(1)

Given

g(r) = (r + 14)² - 49

To obtain the zeros, let g(r) = 0 , that is

(r + 14)² - 49 = 0 ( add 49 to both sides )

(r + 14)² = 49 ( take the square root of both sides )

r + 14 = ± [tex]\sqrt{49}[/tex] = ± 7 ( subtract 14 from both sides )

r = - 14 ± 7, then

r = - 14 - 7 = - 21 ← smaller r

r = - 14 + 7 = - 7 ← larger r

(2)

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

g(r) = (r + 14)² - 49 ← is in vertex form

with vertex = (- 14, - 49 )

A bag contains 14 green tiles,10 red tiles, and 16 blue tiles. Brodie randomly draws a tiel, records the color , and replaces the tile.if he does this 80 times, how many times should he expect to draw a red tile

Answers

Answer:

20 red tiles

Step-by-step explanation:

14 green tiles,10 red tiles, and 16 blue tiles. = 40 tiles

P(red) = 10/40 = 1/4

If we draw 80 tiles

80 * 1/4 = 20

We should expect 20 red tiles

Lucy’s parents built a swimming pool in the backyard. that the width is 18ft and the length is30ft , what's the disentrance around the pool , and what's the area of the pool , Use 3.14 for π.

Answers

Answer:

P=96;A=540

Step-by-step explanation:

To find the perimeter, the distance around the pool, all you need to do is add 18+18 then add 30+30. Why? Because assuming the pool is a rectangle, it would have 4 sides. The two width sizes as 18 and the two lengths as 30. Now, finding the area is even simpler. All you have to do is multiply the width by the length. 18*30.

I hope this answer helped! If you found it useful give it a thanks! It would mean a lot!

Micaela tried to rotate the square 180° about the origin.
Is her rotation correct? If not, explain why.
No, she translated the figure instead of rotating it.
No, she reflected the figure instead of rotating it.
No, the vertices of the image and pre-image do not
correspond
Yes, the rotation is correct.

Answers

Answer:

No, the vertices of the image and pre-image do not correspond.

Step-by-step explanation:

Answer: its C

Step-by-step explanation: you got this

What is the value of x in the figure? Enter your answer in the box.
PLease answer fasttttt

Answers

Answer:

65

145=145

thats the answer

Find the volume of the pyramid. 100 points

Answers

120 yd^3

Step-by-step explanation:

The formula for the volume of a pyramid is...

[tex]V=\frac{1}{3}Bh[/tex]

B is the area of the base and h is the height from the middle of the pyramid to the top. Since we know both of these we can plug them in.

[tex]V=\frac{1}{3}(45*8)[/tex]

[tex]V=\frac{1}{3}*360[/tex]

[tex]V=[/tex]

120

The volume for the pyramid is 120 yd^3.

Answer:

120 yards ^3

Step-by-step explanation:

To solve we need to know the formula.

The formula for the volume of a pyramid is  1/3 B * H

B= 45 and H = 8. We can sub those values in to the formula to solve.

= 1/3 45*8

= 1/3 360

=120

Since we multiplied yd^2 by yd, we get yd^3

So the answer is 120 yd^3

PLEASE HELP ME ASAP!! QUESTION 10

Answers

Step-by-step explanation:

x -1 0 1 2

y -9 -6 -3 0

plot (-1,-9) (0,-6) (1,-3) (2,0)

Will mark brainliest or correct!!
Lisa receives a net pay of $619.06 biweekly. She has $143 withheld from her pay each pay period. What is her annual gross salary?

Answers

Answer:

Step-by-step explanation:

i have provided an attachment for you to take a look at that may help with your example please mark brainliest im new to brainly and son hoping to earn a reputation thank You

Please answer CORRECTLY !!!!! Will mark brainliest !!!!!!!

Answers

Answer:

(4+x)^2

Step-by-step explanation:

Rewrite 16 as 4^2

4^2+8x+x^2

Check the middle term by multiplying 2ab and compare the result with the middle term in the original expression.

2ab=(2)x(4)x(x)

Factor using the perfect square trinomial rule a^2+2ab+b^2=(a+b)^2, where a=4 and b=x

Anwser:

(4+x)^2

Hopefully that is the correct anwser you're looking for!

Which of the following is the solution of One-fourth x + 5 = 7? x = 2 x = 6 x = 8 x = 12

Answers

Changes made to your input should not affect the solution:

(1): "x1" was replaced by "x^1". 3 more similar replacement(s).

Step by step solution :

Step 1 :

Equation at the end of step 1 :

x + ((((3•19x2) • x6) • x8) • x12)
Step 2 :

Step 3 :

Pulling out like terms :

3.1 Pull out like factors :

57x28 + x = x • (57x27 + 1)

Trying to factor as a Sum of Cubes :

3.2 Factoring: 57x27 + 1

Theory : A sum of two perfect cubes, a3 + b3 can be factored into :
(a+b) • (a2-ab+b2)
Proof : (a+b) • (a2-ab+b2) =
a3-a2b+ab2+ba2-b2a+b3 =
a3+(a2b-ba2)+(ab2-b2a)+b3=
a3+0+0+b3=
a3+b3

Check : 57 is not a cube !!


Final result :

x • (57x27 + 1)

Processing ends successfully

Answer:

x = 8

Step-by-step explanation:

If you plug the equation into Desmos you can see the x-intercept is 8

plus I got it right on edge ;)

(2x+3y)+(8x+10y) simplify the following

Answers

Answer:

10x+13y

Step-by-step explanation:

remove parentheses:

2x+3y+8x+10y

add like-terms:

2x+8x+3y+10y

add numbers with the same variables/elements

10x+3y+10y-->10x+13y

hope this helps

Hello!

Answer:

[tex]\boxed{ \bf The~correct~answer~is~10x~+~13y.}[/tex]

________________________________________________

Explanation:

(2x + 3y) + (8x + 10y)

First, drop the brackets:

2x + 3y + 8x + 10y

Next, collect like terms:

2x + 8x + 3y + 10y

Finally, add the like terms together:

10x + 13y

A 13-foot board is cut into two pieces. The length of the shorter piece is 1 ft more than half the length of the longer piece. Find the length (in ft) of the shorter piece.

Answers

Answer: 1

Step-by-step explanation: 1

Length of the shorter piece of board is equals to 5foot.

What is length?

" Length is defined as the distance between two end points of any object."

According to the question,

Length of the board = 13foot

'l' represents the length of the longer piece

As per the condition given we have,

Length of the shorter piece = [tex]\frac{l}{2} +1[/tex]

Therefore,

[tex]l + \frac{l}{2}+1=13[/tex]

⇒ [tex]\frac{3l}{2} =13-1[/tex]

⇒[tex]l= \frac{2}{3} (12)[/tex]

⇒ [tex]l= 8foot[/tex]

Length of the shorter piece = [tex]\frac{8}{2} +1[/tex]

                                              = [tex]5foot[/tex]

Hence, length of the shorter piece of board is equals to 5foot.

Learn more about length here

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the scale on the map is 1: 20000. The area of a lake on a map is1.6 square centimetres. give the actual area of the lake

Answers

Answer:

6.4 × 10^8

Step-by-step explanation:

Children


0 45


Of the 600 people who visited the Amazing Art Museum


on Tuesday, 45% were children.


How many children visited the museum on Tuesday?


To solve the problem, we can write the


as a


and then create an


On Tuesday, children visited the museum.


0 100


All visitors


part - 45x6__?


whole - 100 x 6 - 600

Answers

Answer:Of the 600 people who visited the Amazing Art Museum on Tuesday, 45% were children.

How many children visited the museum on Tuesday?

To solve the problem, we can write the

percent

as

a  

ratio

and then create an  

equivalent ratio

.

On Tuesday,  

270

children visited the museum.

The number of children visited the museum on Tuesday will be 270.

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Total number of people = 600

And, There are 45% were children.

Now,

Since,  45% were children.

Hence, The number of children = 45% of 600

                                                  = 45/100 × 600

                                                  = 45 × 6

                                                  = 270

Thus, There are 270 children.

Learn more about the percent visit:

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could someone help me please I don't quite understand this.

Answers

Answer:

you clicked the correct one!

Step-by-step explanation:

pls mark brainliest!

Which triangles are similar? c d a b If someone replies really fast to this I would amazingly appreciate it

Answers

Answer:

b and d

Step-by-step explanation:

b and d from the picture

same angle of 25 between sides with 1:2 side to base ratio

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