Factor this polynomial expression.
x2 - 25
O A. (x - 25)(x - 25)
O B. (x+ 5)(x - 5)
C. (x - 5)(x - 5)
O D. (x+25)(x - 25)

Answers

Answer 1

Answer:

(x+5)(x-5)

Step-by-step explanation:

x^2 - 25

This can be written as

x^2 - 5^2

We know that this is the difference of squares

a^2 - b^2 = ( a+b) ( a-b)

x^2 - 5^2 = (x+5)(x-5)

Answer 2

Answer:

B. (x + 5)(x - 5)

Step-by-step explanation:

Factor the following:

[tex] \longrightarrow [/tex] x² - 25

25 = 5²:

[tex] \longrightarrow [/tex] x² - 5²

Factor the difference of two squares.

a² - b² = (a + b)(a - b):

[tex] \longrightarrow [/tex] (x + 5)(x - 5)


Related Questions

Last year, Summerfield Steel sold 6.5×104 pounds of steel to private businesses and 2.5×105 pounds of steel to government agencies. This year, they expect to sell 3 times that amount. How much steel would that be?

Answers

Answer:

9.45 × 10⁵ pounds of steel

Step-by-step explanation:

Last year, Summerfield Steel sold 6.5×10⁴ pounds of steel to private businesses and 2.5×10⁵ pounds of steel to government agencies.

Total amount of steel sold last year = (6.5 × 10⁴ + 2.5 × 10⁵) pounds = 315000 pounds = 3.15 × 10⁵ pounds

This year, they expect to sell 3 times that amount.

This year = 3 × 3.15 × 10⁵ pounds

= 9.45 × 10⁵ pounds of steel

HELP ASAP!!! I WILL GIVE BRAINLIEST

Answers

Answer:

ok what's the question

Answer:

C

Step-by-step explanation:

hope this helps

8% of $40 is $
plzzz help

Answers

Answer:

$3.2

Step-by-step explanation:

so there's a strategy to do this its very helpful!

100%-$40

8%-x

~cross multiply~

100x=320

÷100     ÷100

________________

x=$3.2

Hope this helps :D

What would the equation be if my coordinates were, (-4,3) (2,6) ?

Answers

Answer:

y=1/2x+4

Step-by-step explanation:

change of x=2-(-4)=6

change of y=6-3=3

slope=3/6 or 1/2

y intercept=5

y=1/2x+5

Emily is preparing cookies for her friends she is at the market where she sees a 14 ounce bag of chocolate chips for 3.50 the market also sells a 24 ounce bag for 5.28 which size bag is better to buy

Answers

Answer:

Bag 2

Step-by-step explanation:

Given

Bag 1:

[tex]14\ ounce = 3.50[/tex]

Bag 2:

[tex]24\ ounce = 5.28[/tex]

Required

Which is a better buy

To get which buy is better, we first get the unit price of each bag.

[tex]Unit\ Price = Amount/Size[/tex]

For bag 1:

[tex]Unit\ Price = 3.50/14[/tex]

[tex]Unit\ Price = 0.25[/tex]

For bag 2:

[tex]Unit\ Price = 5.28/24[/tex]

[tex]Unit\ Price = 0.22[/tex]

The best buy is the one with smaller unit price

Hence, bag 2 is better to buy

A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slope-intercept form.

Answers

Answer:

Point-slope form: y + 5 = 13/-4 (x-1)

Slope-intercept form:

Step-by-step explanation:

Ok, so first to find the equation in point-slope form, you need to find the slope. So, the slope would be 7- (-5)/-3-1 , which is 13/-4. That is your slope, or m. Now, for point-slope form, you have the equation y - y1 = 13/-4 (x-x1). Now, you take one of your points, say (1, -5), and you put it into the equation. So your point-slope form equation would be y - (-5) = 13/-4 (x - 1). This would simplify to y + 5 = 13/-4(x - 1).

Now for slope-intercept form, you have m, the slope, which is 13/-4. Substituting that into the equation, you have y = 13/-4x + b. To find b, you substitute one of your coordinates into the equation. For example, (1, -5). Then you have -5 = (13/-4 * 1) +b. Simplify this, and you have b = -5+ 13/-4, which is -20/4 + 13/-4, which is -20/4 - 13/4 = -33/4. So your final equation is y = 13/-4x - 33/4.

Hope that helped.

a truck weighs 9,000 pounds. a repair shop sends a tow truck that can pull 5 tons.can the tow truck tow the truck? explain.

Answers

Yes! A ton is 2000 pounds and the tow truck can pull 5 tons, so you multiply 5 by 2000. That is 10,000 pounds and is more than 9,000 pounds which is how much the truck weighs. So the tow truck can tow the truck

Hope this helps

Witch fraction is not in simplest form 5/15 or 5/12

Answers

5/15, it can still be divided by 5
5/15 in simplest form is 1/5

how do you write 7,870 in scientific notations ?

Answers

Answer:

7.87X10^3

Step-by-step explanation:

^ means to the power of

Given m|n, find the value of x.

(8x+6) (9x-30)

Answers

Step-by-step explanation:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Answer:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Step-by-step explanation:

What is the length of BC?
O 11
O 23
O 40
O 60
Plz help

Answers

Answer:

BC = 40

Step-by-step explanation:

Answer:

X=23

BC = 40

Step-by-step explanation:

The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach the coach buys. The situation is represented by the function rule a=16b.

Complete the following table of values.

Answers

0-16-32-48-64 hope this answers ur question

how do you solve 18 - (-2)=

Answers

Answer:

the answer would be 20

Step-by-step explanation:

so if 18-(-2)=?

two nwgatives make a positive. So the equation would turn into 18+2=20

Im not 100% if this is right but htis is how I was taught to do it.

HELP NOW 15 Points!!!!!!!
Which expression is not equivalent to the other three?
2x + 2+ 2x + 3x – 8
4 + 7x – 2
–2 + 5x + 2x – 4
8x – x – 6

Answers

4 + 7x - 2
That is the different one.

Answer:

4+7x-2

Step-by-step explanation:

i dont know how nit is the anwser put i got it right

whats equivelent to 9a + 12

Answers

Answer:

Multiply both terms of the numbers

hense you would do: 2(9a + 12) = 18a + 24

It doesn't have to be 2 however. If can be any number you want it to be

Step-by-step explanation:

Answer:

12+9a is equivelent to 9a+12 :-)

Step-by-step explanation:

Which of the following best explains the value of Sine StartFraction pi Over 3 EndFraction on the unit circle below?
A unit circle is shown. A radius with length 1 has an angle measure of StartFraction pi Over 3 EndFraction
sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the vertical distance from the x-axis on the graph.
sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the vertical distance from the x-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFraction = StartFraction opposite Over 1 EndFraction Equals opposite
The length opposite the angle is the horizontal distance from the y-axis on the graph.
Sine StartFraction pi Over 3 EndFraction = StartFraction adjacent Over hypotenuse EndFraction = StartFraction adjacent Over 1 EndFraction Equals adjacent
The length adjacent to the angle is the horizontal distance from the y-axis on the graph.

Answers

Answer:

a. sine StartFraction pi Over 3 EndFraction = StartFraction opposite Over hypotenuse EndFractionEquals StartFraction opposite Over 1 EndFraction  Equals opposite

The length opposite the angle is the vertical distance from the x-axis on the graph.

Step-by-step explanation:

sin (π/3) = opposite/hypotenuse = opposite/1; The length opposite the angle is the vertical distance from the x-axis on the graph.

What is the trigonometric ratio of unit circle?

Unit circle is a circle centered at the origin, (0,0) with radius(r) i.,e r= 1.

The angle π/3 forms an arc of length S and the x-axis and y-axis divide the coordinate plane and the unit circle as it is centered at (0.0).

Also, the terminal side intersect the circle at (x, y). Thus;

sin (π/3) = opposite/hypotenuse = opposite/1

Thus;

sin (π/3) = opposite

Also, the length opposite the angle is the vertical distance from the x-axis on the graph.

Read more about Unit circle at; https://brainly.com/question/4637991

what is positive 1 plus negative 6

Answers

Answer:

-5

Step-by-step explanation:

When answering these problems, I like to think of dirt stacks. (Weird, but it helps.)

Okay, so you have a stack of dirt one foot off the ground. Then you dig six feet down, including the stack.  Because the stack will be 5 feet into the ground now, the answer is -5.

2. Now that you have the height of the cone, how can you solve for the
slant height, s?

Answers

Use the formula: square root( r^2 +h^2)

Answer:

s^2 = r^2 + h^2.

Step-by-step explanation:

You need to know the radius of the base as well.

Then you use the Pythagoras theorem:

s^2 = r^2 + h^2     where r = radius and h = the height.

Graph the equation.
y-1 = -2(x-2)

Answers

Answer:

y-1 = -2(x-2) graph:

Answer:

Graph is below

Step-by-step explanation:

Graph the line using the slope and y-intercept, or two points.

Slope:

2

y-intercept:

(

0

,

5

)

x

y

0

5

5

2

0

Jake has $100 dollars in his wallet. He spends $15 at Tastee Sub and $10 at Wawa. As he is walking home, Jake finds a $20 bill on the ground. Then Brandon comes along and borrows $40 from jake. That night jake decided to do some chores at home and earns $35. How much does jake end up with at the end of the day

Answers

Answer: $75

Step-by-step explanation:

Label the number that is on the numberline

Answers

Answer:

0.4

Step-by-step explanation:

Since there are 5 spaces between the 1 and 0, each tick represents [tex]\frac{1}{5}[/tex] or 0.2 units. Counting up from 0 you get 0.4

Answer:

0.4

Step-by-step explanation:

1 divide by the number of lines:  1 / 5 = 0.20.2 multiply by the number of lines where the arrow is pointing at0.20 x 2 = 0.4

therefore, the answer is 0.4

I need help this is my last question (math class)

Answers

Answer:

Step-by-step explanation:

5.00 for 2 loaves is $2.50 a loaf.

She wants 5 loaves for $12.50

5*2.50= $12.50 so she is correct.

agree with majorie.

since four loaves would be ten dollars. add one more loaf and that would cost $2.50. so $10 + $2.50 is $12.50

Given the following linear function sketch the graph of the function and find the domain and range. ƒ(x) = -5x + 4

Answers

Answer:

Domain: (-∞,∞)

Range:(-∞,∞)

Step-by-step explanation:

The sketch of the given function has been attached and the domain and range both will be (-∞,∞ ).

What is a linear function?

A straight line on the coordinate plane is represented by a linear function.

A function that fluctuates linearly with respect to the changing variable is referred to as being linear.

A linear function always has the same and constant slope.

The formula for a linear function is f(x) = ax + b, where a and b are real values.

Given the function,

ƒ(x) = -5x + 4

Range of the function ;

Since the value of the function is defined for all real x and the value will be unique so

Range =  (-∞,∞ ).

The domain of the function ;

Since it is defined for all real x so,

Domain =  (-∞,∞ )

For more about the linear function

brainly.com/question/21107621,

#SPJ2

Question
Help me -.8+ 2X = .3 - x

Answers

Step-by-step explanation:

2x+x=.3+.8

3x= 1.1/:3

x=0.366

Answer:

x = -2.566667

Step-by-step explanation:

simplify both sides

8 + 2x = 0.3 - x

8 + 2x = 0.3 + - x

2x + 8 = - x + 0.3

add x to both sides

2x + 8 + x = - x + 0.3 + x

3x + 8 = 0.3

subtract 8 from both sides

3x  + 8 - 8 = 0.3 - 8

3x = -7.7

divie both sides by 3

3x/3 = -7.7/3

x = -2.566667

The equation of the line in the graph is y= (blank) x+ (blank)

Answers

Y= -1x + -1 is the answer

(Find common denominator first.)
3/2 + b=7/4

Answers

Answer:

b = 1/4

Step-by-step explanation:

Take the given fractions : 3/2 and 7/4 and find a common denominator.

We will use 4 as a common denominator.

In order for the denominator of 3/2 to get to 4, you need to multiply by 2.

3 × 2 = 6        2 × 2 = 4

New fraction: 6/4

Now we have the equation 6/4 + b = 7/4

7/4 - 6/4 = 1/4

What is the equation of the graphed line written in standard form?

Answers

Answer:

C. y = -2/3x -2

Step-by-step explanation:

We know the slope is negative. You can find slope using rise/run. The y-intercept is -2 because the line meets -2 at the y-intercept.    

Answer:

The first answer (top)

Step-by-step explanation:

Standard form is ax+by=c

a and b are the coefficients

Take a point from the given line

I chose (0, -2)

Then, plug in the values of x and y

2*0+3*-2=-6

-6=-6

Since it works the standard form of the line is 2x+3y=-6

Can someone please find out what x is?

Answers

The answer would be x=2

Answer: x = 2

Simplify and Distribute

(−5)(4x)+(−5)(−2)=(−2)(3)+(−2)(6x)

−20x+10=−6+−12x

−20x+10=−12x−6

Adding 12x both sides.

−20x+10+12x=−12x−6+12x

−8x+10=−6

Subtract 10 both sides

−8x+10−10=−6−10

-8x = -16

Then divide both sides by 8

-8x/8 = -16/8

x=2

Name a ray with an endpoint of A.

Answers

B to A. it passes through E

the sum in the form a(b+c) such that the integers band chave no common factor.
99 +33

Answers

Answer:

33(3+1)

Step-by-step explanation:

Find the GCF of 99 and 33

99=3^2•1133=3•11So the GCF is 3•11=33

Factor 33 out

33(3+1)
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