Select the correct answer.
Factor completely
5x² - 45
OA (5x + 9)(x - 5)
O.B. 5(x - 45)
OC. 5(x-9)(x+ 9)
OD. 5(x+3)(x - 3)
Reset
Next

Answers

Answer 1

Answer:

D. 5(x + 3)(x - 3)

Step-by-step explanation:

Both terms are perfect squares, therefore we will factor using the difference of squares formula;

a² - b² = (a + b) (a - b)

5(x + 3)(x - 3)

5(x² - 9)

(5x² - 45)

5x² - 45

Answer 2

Option D is correct, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 5x² - 45

Five times of x square minus forty five

x is the variable and minus is the operator

Let us take 5 common from the expression to find the factor form

5(x² - 9)

5(x² - 3²)

Now we know that a² - b²  = (a+b)(a-b)

5(x+3)(x-3)

Hence, the factored form of the expression  5x² - 45 is 5(x+3)(x - 3)

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Related Questions

74°
32°
to
Find the value of x

Answers

Answer: give the proper question

Step-by-step explanation: for solutions

Find the area of the composite figure. First, find the area of the triangle.


Please help

Answers

Answer:

triangle: 28cm² | parallelogram: 88cm² | composite: 116cm²

Step-by-step explanation:

Find area of triangle (1/2)(base)(height)

(1/2)(8)(7)

(4)(7)

28cm²

Find area of parallelogram (base)(height)

(8)(11)

88cm²

Add them together to get the composite area

28 + 88 = 116cm²

Find the product of smallest natural number and the smallest whole number , 보라해 ​

Answers

Answer:

smallest whole number is 0 so product of 0 is 0

smallest natural number is 1 so product of 1 is 1

Solve this question for points

Answers

The line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

What is a line graph?

A line graph is a graph made up of segments of straight lines that connect the depicted data points.

Draw dots on each of the data element in the data set:

25 repeated 1 time

25 1/2 repeated 2 times

26 repeated 1 time

27 3/4 repeated 1 time

28 1/2 repeated two times

And so on.

Thus, the line plot shown in the graph as 25 repeated 1 time, 25 1/2 repeated 2 times,  26 repeated 1 time, and 27 3/4 repeated 1 time so on.

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Samantha has a solid with a certain density. She knows the mass of the solid is 170 grams and the volume of the object is 20 cubic centimeters. When she calculates the density of the solid, what units should Samantha use?

Answers

Answer:

Step-by-step explanation:

Comment

The formula for density is D = m/V

the units of mass are gramsThe units of volume is cm^3

Therefore the units of density is

Density = grams/cm^3

At the Natural History Museum, tickets cost $12 for adults and $4 for kids under 12. What would be the total cost for 3 adult tickets and 8 kids tickets? What would be the total cost for aa adult tickets and kk kids tickets?

Total cost, 3 adult tickets and 8 kids tickets:

Total cost, aa adult tickets and kk kids tickets:

Answers

Answer:

68

Step-by-step explanation:

if tickets cost $12 for adults and there are 3 adult tickets being bought the total cost for adult tickets will be $36

Now for the kids, the tickets cost $4 and there are 8 kids, so the total cost for the kids tickets is $32

so the total price for 3 adult tickets and 8 kids tickets is $68

------

sorry if I didn't answer right I cant tell if the last part is a typo or a question

Answer:

see below

Step-by-step explanation:

ok so there are 8 children and $4 so 4x8=32 and 3 adults for $12 so 3x12=36

36 + 32

3+3=6

6+2=8

36+32= 68

find the perimeter of a triangle with vertices A(-3,5), B(-3,2), and C(1,2)

Answers



I’m not entirely sure, but I think that’s correct

determine the mass of a sample of silver if 705 j of heat are required to raise its temperature from 25 c to 35 c. The specific heat of silver is 0.235 j/g c

Answers

Answer:

300g

Explanation:

heat added=specific heat * m * change in temp

705= .235* x*(35-25)

solve for x, thus the answer being 300g

Please help me math

Answers

Answer:

5.66

Step-by-step explanation:

State Pythagoras' theorem

a² + b² = c²

→ Substitute in the values

4² + 4² = c²

→ Simplify

32 = c²

→ Square root both sides

√32 = c

Answer:

Step-by-step explanation:

4^2 + 4^2 = c^2

16 + 16 = c^2

32 = c^2

c= √32

c= 5.66

Find the domain and range of the relation graphed below.

Answers

Answer:

Domain: -4 < x < 2

Range: -3 < y < 3

I need help plss, whoever answers me, I’ll give brainliest.

Answers

Answer:

12.

Step-by-step explanation:

36 = 3 * 12

48 = 4 * 12,

For which values of x is the limit positive infinity when x
approaches the values from the left?

Answers

Answer:

The Answers are: 1) -3pi/2 & 4) pi/2

Step-by-step explanation:

I got it right!

need help ASAp pleaseeeeeeeeeeeeeeeee

Answers

The answer is 2, simply because you need to make that negative sign a positive sign. To do that you will need to flip the numerator and denominator. Meaning that it will be 4/1 now. By doing this your exponent became positive! So if your teacher just wanted you just rewrite it, it would be (4/1)^1/2, but if you were to evaluate that, it would be 2

The heights, in inches, of five people on a basketball team at listed below 65, 58, 64, 61, 67 explains the meaning of the meaning absolute deviation in context of the situation

Answers

Using it's concept, it is found that the mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

What is the mean absolute deviation of a data-set?

The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.

In this problem, the mean is given by:

M = (65 + 58 + 64 + 61 + 67)/5 = 63.

Hence the mean absolute deviation is given by:

MAD = (|65-63| + |58-63| + |64-63| + |61-63| + |67-63|)/5 = 14/5 = 2.8.

The mean absolute deviation of 2.8 means that the heights differ from the mean by an average of 2.8 inches.

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Using complete sentences, explain which function has the greatest y-intercept.

Answers

Answer:

Step-by-step explanation:

this is correct trust me im learning this and passing the concept h(x)=2+3

and f(x)=3x-2

Here is a tip use desmos it is a graphing calculater and will tell you the answer

It takes $5 in gas to drive 26 miles. How much does each miles cost?

Answers

Answer:

$5.20

Step-by-step explanation:

divide 5 dollars by 26 miles.

26 miles÷ $5 = $5.20

Can i get some help, please

Answers

Answer:

65 degrees

Step-by-step explanation:

The degrees always has to add up to 180 degrees, so if you add 90 degrees and 25 degrees, you get 115 degrees. So since it has to be 180 degrees, you add 65 to 115, and you get 180 degrees.

Answer: 65 degrees . HOPE IT HELPS .

Geometry
PLS NEED HELP

Answers

Answer: B

All of the other options do not apply,

Find the degree of the monomial.4.5
8a b5

Answers

Answer: 17a

Step-by-step explanation: additon

A school needs to buy new notebook and desktop computers for its computer lab. The notebook computers cost $275 each, and the desktop computers cost $175 each. How much would it cost to buy 10 notebooks and 16 desktop computers? How much would it cost to buy nn notebooks and dd desktop computers?

Write the equation for total cost, nn notebooks and dd desktop computers:

Answers

The cost to buy 10 notebooks and 16 desktop computers is $5550

Cost of notebook computers = $275

Cost of desktop computers = $175 each

The cost to buy 10 notebooks and 16 desktop computers will be:

= 275(10) + 175(16)

= 2750 + 2800

= $5550

The cost to buy n notebooks and d desktop computers will be:

= 275(n) + 175(d)

= 275n + 175d

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EASY POINTS
Which of the following sets represents the range of the diagram below?

Answers

I think the answer is D

Answer:

D)

Step-by-step explanation:

This is a subjective function and range and co-domain are equal.

Range = {3 , 5 , 7}

Evaluate x + y when x = -19/12 and y = -7/5

Answers

Hey there!


x + y

= -19/12 + (-7/5)

= -19/12 - 7/5

= -95/60 + -84/60

= -95/60 - 84/60

= -95 + (-84) / 60 - 0

= -95 - 84 / 60

= -179 / 60


Therefore, the answer should be:

-179 / 60


Good luck on your assignment & enjoy your day!



~Amphitrite1040:)

Answer:

x+y= -2 59/60

Step-by-step explanation:

=-19/12-7/5 = -95-84

60

=-179

60

= -2/59/60

find the total surface area of this cuboid
the cuboid has a length of 4cm and the width of 2cm and the height of 5cm

Answers

Answer:

SA = 76 cm²

Step-by-step explanation:

Surface Area (SA) of a cuboid: 2(lw) + 2(wh) + 2(hl)

SA = 2(lw) + 2(wh) + 2(hl)

l = 4 cmw = 2 cmh = 5 cm

Substitute the values above and multiply:

SA = 2(lw) + 2(wh) + 2(hl)

SA = 2(4)(2) + 2(2)(5) + 2(5)(4)

SA = 2(8) + 2(10) + 2(20)

SA = 16 + 20 + 40

SA = 76 cm²

Final answer: 76 cm²

Hope this helps!

An electrician uses 46 3/4 feet of push-back wire from a 200-foot roll. How many feet of wire are left on the roll?​

Answers

Answer:

153 1/4 feet

Step-by-step explanation:

Remaining

200 - 46 3/4153 1/4 feet

the quotient of two numbers is 3 and their sum is 8 what are he two numbers

Answers

Translating Word Equations into Numerical Equations

To change words into equations, we can recognize keywords that translate into operations and/or numbers:

quotient = dividea number/the number/two numbers = variables sum = add

Solving the Question

Let the two numbers be a and b.

We're given:

quotient of a and b is 3
⇒ [tex]\dfrac{a}{b}=3[/tex]sum of a and b is 8
⇒ [tex]a+b=8[/tex]

First, isolate a in the first equation and substitute it in the second equation to solve for b:

[tex]\dfrac{a}{b}=3\\\\a=3b[/tex]

[tex]a+b=8\\3b+b=8\\4b=8\\b=2[/tex]

Therefore, one of the numbers is 2. Substitute this into one of our equations to solve for a:

[tex]a+b=8\\a+2=8\\a=6[/tex]

Therefore, the other number is 6.

Answer

The two numbers are 2 and 6.

Translate the triangle.
Then enter the new coordinates.

Answers

Answer:

see explanation

Step-by-step explanation:

the translation < 3, 2 >

means add 3 to the original x- coordinate and add 2 to the original y- coordinate, then

A (3, 0 ) → A' (3 + 3, 0 + 2 ) → A' (6, 2 )

B (4, - 2 ) → B' (4 + 3, - 2 + 2 ) → B' (7, 0 )

C (1, - 3 ) → C' (1 + 3, - 3 + 2 ) → C' (4, - 1 )

please help due in 13 mins.

Answers

Answer:

Graph A

Step-by-step explanation:

Becuase if we rewrite it in slope-intercept form then we get y=3/4x-13/2

Suppose that the number of bacteria in a certain population increases according to a continuous exponential growth model. A sample of 1800 bacteria selected from this population reached the size of 2016 bacteria in two and a half hours. Find the hourly growth rate parameter.

Answers

so

number = a e^(kt)

2272 = 1800 e^(5k)

1.26222... = e^5k

ln 1.26222... = 5k

k = .04657.. <----- your hourly growth parameter

the instantaneous rate of growth is appr 4.657% per hour.

What is the answer to 8+9

Answers

17 hope it helps brainliest

The annual mean thickness of the ice cover declined from a peak of 3.71 m in 1980 to a minimum of 2.46 m in 2000, What is the percent decrease in the annual mean thickness of the ice cover?​

Answers

Using it's equation, it is found that the percent decrease in the annual mean thickness of the ice cover was of 33.69%.

What is the percent decrease of an amount?

It is given by the decrease divided by the initial amount and multiplied by 100%.

In this problem:

The initial amount was of 3.71 m.The decrease was of 3.71 m - 2.46 m = 1.25 m.

Hence the percent decrease is given by:

P = (1.25/3.71) x 100% = 33.69%.

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