Which equation has roots of
±
3
?

Answers

Answer 1

Answer:

(x^2-9)

Step-by-step explanation:

To have roots plusminus 3, the factors need to be (x+3) and (x-3)

You can FOIL those and multiply those out to get x^2-9.

Or you can remember the rule of Difference of Squares and know that the first term minus squared the second term squared is equal to first term + second term and first term minus second term.

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

This does not work if it is (a^2+b^2)


Related Questions

a company can make a new computer for $150. if they sell the same computer for $500, what is the markup percentage?

Answers

Solution:

Note that:

Profit percentage: S.P - C.P/C.P x 100C.P = $150S.P = $500

Substitute the values into the expression to find the profit percentage.

Substituting the values.

S.P - C.P/C.P x 100=> 500 - 150/150 x 100=> 350/150 x 100=> 350/3 x 2 = 233.33%

The markup percentage is 233.33%.

There are 40 painters in a crew. On a certain day, 87. 5% were present. How many people did not show up for work?

Answers

Answer:

35 people did not show up for work.

Step-by-step explanation:

87.5/100 ×40/1

87.5×40=3500

100×1=100

3500/100 simplified is 35

when a,b are real number and i^2 = -1 then what is value of |a-b| ? help me please!!!​

Answers

Answer: 0

Step-by-step explanation:

The table shows today's numbers of sales of-four types of flowers at a flower shop.


Based on this information, which prediction about tomorrow's flower sales is
most reasonable?

A. The shop will sell twice as many roses as daisies

B. The shop will sell equal number of roses and Lilly’s

C. The shop will sell more lilies than any other type of flower

D. The shop will sell six more lilies than roses

Please explain how you got the answer if not it’s okay but a brief summary please

Answers

Answer:

A. The shop will sell twice as many roses as daisies

Step-by-step explanation:

Look at each choice and use today's numbers.

A. roses: 18; daisies 9

18 is twice 9.

True

B. roses: 18; lilies: 12

18 and 12 are certainly not equal.

False

C. Lilies: 12, but roses 18

It's more roses than any other.

False

D. Lilies: 12; roses: 18

It's 6 more roses than lilies, not the other way around.

False

How many odd 2-digit positive integers greater than 30 are there?

Answers

Answer:

There are 70 two digit numbers that are greater than or equal to 30

Step-by-step explanation:

hope it helps you

Answer:

  35

Step-by-step explanation:

There are 100 -30 = 70 2-digit positive integers. Half of them are odd.

There are 35 odd 2-digit positive integers greater than 30.

__

Additional comment

For n = 1 .. 35, those numbers are 2n+29.

Simplify the expressions:

7p + 9t

Answers

The answer is 7p + 9t

Because they are both unlike terms

Answer:

7p + 9t

Step-by-step explanation:

We cannot further simplify 7p + 9t because they don't have any like terms to combine with, nor are they even like terms.

Part B
What is the interquartile range of the number of days represented on Kelly's line plot? Be sure to show
your work and explain your reasoning.

0, 0, 2, 2, 2, 3, 4, 4, 5, 5, 5, 7, 7

Answers

It’s 3

The is just the difference between the third quartile and the first quartile.

Sorry for the ugly handwriting.

help please. I'm stuck on this question


Will mark brainliest ​

Answers

Answer: The number is 2

Step-by-step explanation: Suzie says that [tex]\frac{1}{2}[/tex], which is half of a whole, is equal to only [tex]\frac{1}{4}[/tex] of the unknown number. This means that to find the value of the unknown number, you need to multiply [tex]\frac{1}{2}[/tex] by 4 so that it equals to [tex]\frac{4}{4}[/tex] of the mystery number.

Simply put, multiply [tex]\frac{1}{2}[/tex] by 4. Then reduce for the answer, and this gives us these equations.

[tex]x=4(\frac{1}{2} )[/tex]

[tex]x=\frac{4}{2}[/tex]

[tex]x=2[/tex]

Hope that this helps!

During a sale,cameras were discounted 30% from their original price of $295.99.how much was each camera during the sale to the nearest cent?

Answers

.7 * 295.99 = original price

.7 * 295.99 = 207.193 = $207.19

What is the equation of the function that is graphed as line b ?


y = x - 1
y = 2 x + 1
y = -4 x
y = x + 1

Answers

Answer:

Y=-x-1

explanation:

(1,-2)

(2,-3)

And use the slope formula, y2-y1/x2-x1

Where y2=-3

Y1=-2

X1=1

X2=2

So

-3+2/2-1=-1

So the slope is -1 and y intercept is -1

Let’s plug those values in:

Y=-x-1

Hope this helps!

Brandon owes his brother $120. He has a stamp collection worth $1,250 and he has $300 in a bank account. He also has a skateboard worth $95. Which are Brandon’s assets?.

Answers

Answer: brandons assets are the stamp collection, the bank account, and the skate board .

Step-by-step explanation:

4 ( m + 3 ) = 48
Identify M pls!

Answers

Answer:

M = 9

Step-by-step explanation:

4 (m + 3) = 484m + 12 = 484m = 48 - 124m = 36m = 36 ÷ 4m = 9

the value of M is 9

Helen has 3 quarters and 1 penny. How much money does she have?​

Answers

76¢ is how much that equals.

Answer:

76 cents

Step-by-step explanation:

Transcribed Image Text:to the Tledrest tentn. A landscaper wants to place a stone walkway from one corner of the rectangular lawn to the opposite corner. The lawn is 23ft by 18ft. a.) What is the length of the walkway to the nearest foot? b.) If the stones cover one foot each how many stone will he have to buy to make sure the path is covered?

Answers

The length of the walkway is 24 ft, and you will need 24 stones to cover it.

What is the length of the walkway?

The length of the walkway will be equivalent to the hypotenuse of a right triangle with cathetus of 23ft and 18ft, so we can use the Pythagorean theorem to get it:

L^2  =(23fy)^2 + (18ft)^2

L = √( (23fy)^2 + (18ft)^2 ) = 23.77ft

The walkway is 23.77 ft long.

Rounding to the nearest foot, the length is 24 ft.

b) If each stone covers 1 ft, then you will need 24 stones.

If you want to learn more about right triangles, you can read:

https://brainly.com/question/2217700

Which fraction correctly represents one whole?
5/5
1/5
3/5
5/1

Answers

Answer:

5/5

Step-by-step explanation:

If you convert these fractions into decimals, you will get

5/5 = 1

1/5 = 0.2

3/5 = 0.6

5/1 = 5

Hope this helps :)

Answer:

5/5

Step-by-step explanation:

if you want to divide 1 whole into a fraction then the top number would have to be the same as the bottom number, for example 5/5. The top number is 5 which is the same as the numerator which will equal to 1 whole.

While 1/5 and 3/5 is less than 1 whole

And 5/1 is more than 1 whole but its way past the numerator

URGENT NEED HELP ON THIS

Answers

Answer:

I think option no B

hope it will help you

7686:9=854

(7200+486):9=(800 + 54)

What is the measure of ZXYZ?
X
112
y
A. 170
V
O B. 72°
55°
C. 55°
w
D. 36°

Answers

Answer: D. 36

Step-by-step explanation: Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle . And in the given diagram, angle subtended on the circle by arc XZ=60 degree . So arc XZ =2*60=120. Therefore measurement of arc xyz=360-120=240 degree.

The measurement of arc xyz is 240 degrees.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Angle subtended by an arc at the centre is twice of the angle subtended at any point on the circle .

In the given diagram, angle subtended on the circle by arc XZ=60 degree .

So arc XZ =2 times of 60

=2×60

=120.

The measurement of arc xyz=360-120=240 degree.

Hence, the measurement of arc xyz is 240 degrees.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ7

Geometry: Find the length of the arc
Can someone pls help me with this??

Answers

Answer:

3π, 6π

Step-by-step explanation:

12π*1/4=3π

16π*135/360=6π

the length of arc:

[tex]\tt =\dfrac{\alpha }{360}\times 2\pi.r[/tex]

5.

[tex]\tt \dfrac{90}{360}\times 2\pi6= 3\pi~yd[/tex]

7.

[tex]\tt \dfrac{135}{360}\times 2\pi.8=6\pi~km[/tex]

Find the product of (x + 5)(x - 5).
x2 - 10x + 25
x2 + 10x + 25
x2 - 25
x2 + 25

Answers

Answer:

x²-25

Step-by-step explanation:

Hi there!

We are given (x+5)(x-5) and we want to find their product.

As these are binomials, we can multiply them using FOIL, which is First, Outer, Inner, Last

So let's start with the firsts, which would be (x+5)(x-5), or the 2 x's; x*x=x²

Next, let's do the outers, which would be (x+5)(x-5); x * -5 = -5x

Now the inners; (x+5)(x-5); 5 * x = 5x
Finally, the lasts; (x+5)(x-5); 5 * -5 = -25

Now add all of these terms together:

x²-5x+5x-25

We can combine the 5x and -5x together to become x²-25

So the answer is x²-25, which is a difference of squares expression (if we have (a-b)(a+b), then the result is a²-b²).

Hope this helps! :)

See more on the difference of squares here: https://brainly.com/question/16085851

a circled circumference is approximately 44cm

Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616

Answers

Answer:

1. The circle’s radius is approximately 14 cm.

2. The circle’s radius is approximately 7 cm.

3. The circle’s area is approximately  154 cm2

Question:a circled circumference is approximately 44cm

Complete each statement using one of these values : 7,11,14,22,88,138,154,196,380,616, Answers without letters: 1. 14cm  2. 7cm 3. 154 cm2

Nico rolled two number cubes 250 times 6 6 The table shows his results. NC1 NO2 1 2. 3 4 5 6 1 6 7 3. 9 9 7 7 2 2 4 8 6 5 10 2 3 7 6 11 9 8 7 4 6 7 6 8 9 5 5 3 5 9 7 6 4 6 6. 5 3 4 26 Use the table to find the experimental probability of rolling a 5 on the red number cube, NCI, and a 2 on the blue number cube, NC2. Enter the correct answer in the boxes,​

Answers

Using it's concept, it is found that there is a 0.04 = 4% experimental probability of rolling a 5 on the red number cube, NCI, and a 2 on the blue number cube, NC2.

What is a probability?

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In an experimental probability, these number of outcomes is taken from previous trials.

Researching this problem on the internet, it is found that out of the 250 rolls, 10 resulted in a 5 on NC1 and 2 on NC2, hence:

p = 10/250 = 1/25 = 0.04.

0.04 = 4% experimental probability of rolling a 5 on the red number cube, NCI, and a 2 on the blue number cube, NC2.

More can be learned about probabilities at https://brainly.com/question/14398287

Here are descriptions for how two dot patterns are growing,
• Pattern A Step 2 has 10 dots. It grows by 3 dots at each additional step.
Pattern B: The total number of dots can be expressed by 2n^2+1, where n is the
step number
For each pattern, draw a diagram of Step 0 to Step 3.

Answers

The steps in the patterns A and B form a sequence

The attached diagram represents dots in patterns A and B

How to draw the diagrams

For pattern A, we have:

Step 2 = 10 dots

Increment of 3 dots in each step

This means that:

Step 0 = 4 dots

Step 1 = 7 dots

Step 2 = 10 dots

Step 3 = 13 dots

For pattern A, we have the following rule

[tex]T_n =2n^2 + 1[/tex]

When n = 0 to 3, we have:

[tex]T_0 =2(0)^2 + 1 =1[/tex]

Step 0 = 1 dot

[tex]T_1 =2(1)^2 + 1 =3[/tex]

Step 1 = 3 dots

[tex]T_2 =2(2)^2 + 1 =9[/tex]

Step 2 =  9 dots

[tex]T_3 =2(3)^2 + 1 =19[/tex]

Step 3 =  19 dots

Next, we draw the diagrams of both patterns (see attachment)

Read more about patterns at:

https://brainly.com/question/15590116

The population of a city increases by 0. 9% per year. If this year's population is 261,000, what will next year's population be, to the nearest individual?

Answers

263349 people! :)

Hope this helps!

Adam and Tom share a sum of money in the ratio 18:17
Adam got £5 more than Tom.
How much did Tom receive?

Answers

x = total amount split between Adam and Tom.

since we know the total amount split between both in a 18 : 17 ratio is "x", let's divide "x" by (18 + 17) and distribute accordingly to get the amount of each.

[tex]\stackrel{Adam~received}{18\cdot \cfrac{x}{18+17}}\qquad \qquad \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that Adam got "5" more}}{ \stackrel{Adam}{18\cdot \cfrac{x}{18+17}}~~ = ~~\stackrel{Tom}{17\cdot \cfrac{x}{18+17}~~ + ~~5} }\qquad \implies \qquad \cfrac{18x}{35}~~ + ~~\cfrac{17x}{35}+5[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{35}}{35\left( \cfrac{18x}{35} \right)~~ = ~~35\left( \cfrac{17x}{35}+5 \right)}\implies 18x~~ = ~~17x+175\implies \boxed{x =175} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{Tom~received}{17\cdot \cfrac{x}{18+17}}\implies \cfrac{17(175)}{35}\implies \blacktriangleright 85 \blacktriangleleft[/tex]

Find the total amount given the original price and tax rate. Round to the nearest cent if necessary. $15.25, 7%

Answers

Answer:

$16.32

Step-by-step explanation:

15.25 (1+0.07)

= 15.25 (1.07)

Distribute,

$16.32 (Total Amount)

find the nth term formula in the sequence - 1,9,21,47,57

Answers

Answer:

I don't know the answer but have a amazing day!<3

Step-by-step explanation:

Be happy.

write the equation in slope-intercept form. (-7,-2), (2,3)

Answers

Answer:

y = -5/9x + 4.1

(try doing this yourself first with different points to make sure this is the right answer, because im to lazy to check myself but ill try checking D:)

Step-by-step explanation:

first you have to find the slope . to do this use the equation y2 - y1/ x2 - x1

so write as -2 - 3/  -7 - 2 is equal to -5/-9

so now write y = -5/9x + b

we must now find the y-intercept so substitute one of the points given. lets substitute 2,3 it looks easier. So it will look like 3 = -5/9(2) + b

3 = -5/9(2) + b

3 = -10/9 + b

b = 3 + 10/9

b = 4.111111

um just round to the tenth place

Please help!! my brain is ded today
The scatter plot shows the results of a survey in which 10 people were asked how many e-mail accounts and how many credit cards they have.

How many people had 4 credit cards?

Answers

Answer: 3 people had 4 credit cards.

Step-by-step explanation:

The question does not ask about the e-mail accounts, so you can ignore that. Then look for which line is for 4 cards and see how many dots are on the line, and there's your answer.

2.
D
3
In the diagram above, Z3 = 135º.
Find the measure of Z4.
24 = [?]

Answers

Answer:

<4= 45○

Step-by-step explanation:

Step by step explanation is found on pic.

Hope that Helps :)

Find three consecutive integers such that the product of the first and the second integer is 42

Please answer!!!!

Answers

Answer:

6 & 7.

Step-by-step explanation:

make one of the numbers x. The number succeeding it will be x +1

Their product is 42

x(x+1) = 42

x²-x-42=0

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