which is the solution set for the quadratic equation x^2-9=0

Answers

Answer 1
Answer:  x = 3 and x = -3

===================================================

Explanation:

We could add 9 to both sides, and then apply the square root to both sides. Don't forget about the plus minus

x^2 - 9 = 0

x^2 = 9

x = sqrt(9) or x = -sqrt(9)

x = 3 or x = -3

To check these answers, you replace x with those values we found. I'll show you how to check x = 3

x^2 - 9 = 0

(3)^2 - 9 = 0

9 - 9 = 0

0 = 0

So that confirms x = 3. The confirmation for x = -3 is nearly the same. Keep in mind that (-3)^2 = (-3)(-3) = 9. You'll be squaring the negative as well.

------------------

Another method you could do is to use the difference of squares rule

x^2 - 9 = 0

x^2 - 3^2 = 0

(x - 3)(x + 3) = 0

Now apply the zero product property. This effectively means you set each factor equal to zero and solve for x

x-3 = 0 or x+3 = 0

x = 3 or x = -3

We end up with the same solution set.

Yet another method you could use is the quadratic formula, but that may be overkill. It's still good practice to do.

Graphing is a visual way to find the answers. You'll graph y = x^2 - 9 and look to see where the curve crosses or touches the horizontal x axis.


Related Questions

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange. If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same? Round to the nearest whole number.

Answers

Answer:

75

Step-by-step explanation:

Step 1

Matt is ordering basketball jerseys For his country's league. Last year he ordered 512 jerseys. 64 those jerseys were orange.

The ratio of all Jerseys to Jerseys that are Orange =

512 : 64

8 : 1

Step 2

If he ordered 600 jerseys this year, how many of them will be Orange if the ratio of orange jerseys to all the jerseys remain the same?

Since we are maintaining the ratio in step 1

Let the number of orange jerseys = x

600 : x = 8 : 1

Hence

600/x = 8/1

Cross Multiply

8 × x = 600 × 1

8x = 600

x = 600/8

x = 75

Therefore, this year, the number of orange jerseys = 75

At Penny's Pie Shop, it costs $4 for
1
4
of a pie. What is the cost of a whole pie?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.

Answers

Answer:

$16

Step-by-step explanation:

$4 for 1/4 of a pie, means that it isn't an entire pie. Luckily for us, this is simple multiplication. You would multiply like so:

4 x 4 = 16

And you'd get your answer, since 4/4 equals 1 whole.

I hope I helped you, and a "Brainliest" is always appreciated! ☺

I dont Know what to put here
But Anwer Pls

Answers

Answer:

QR, QT

Step-by-step explanation:

A radii is a line from the center of the circle to the circumfrence of the circle.

In this case the radii are QR, QT, and QK because they all start from the center of the circle which is point Q and stop at the circumfrence of the circle.

Since QK isn't an answer choice the only  answers are ...

QR and QT

Match each correlation coefficient to the appropriate scatter plot. The line in each scatter plot is the least squares regression line. fo1 80- 52 504 40 3 30 24 19 18- 12 12 22 300 316 19 54 18 5 18 UN 30 18 54 60​

Answers

504 is the answer my guy

Please only answer if you can help!! Please look at the picture below

Answers

Answer:

3

Step-by-step explanation:

The graph doesn’t go left to x = 3, so the answer is 3

uhh i dont understand but if you do all of these I will give you brainliest on all of your answers it

Answers

Answer:

Step-by-step explanation:

A bike shop in Belleville bought a mountain bike for $723 and marked it up 50% from the original cost. Later on, Andy purchased the mountain bike and paid Belleville sales tax of 14%. How much, including tax, did he pay for the mountain bike?

Answers

Answer:

A⁣⁣⁣⁣nswer i⁣⁣⁣s i⁣⁣⁣n a p⁣⁣⁣hoto.

Step-by-splanation:

Answer:

hey

Step-by-step explanation:

so i dont know

how to solve this and i cant help u

f(t) =
2(t-1)
(t-4) (t + 2)
What is the domain off (t)?

Answers

Answer:

{t element R : t!=-2 and t!=4}

(assuming a function from reals to reals)

Step-by-step explanation:

Heya!
[tex] \underline{ \underline{ \text{Question}}} : [/tex] In the given [tex] \triangle[/tex] ABC , AE is the bisector of [tex] \angle[/tex] BAC. If BO [tex] \perp[/tex] AE and BM = MC , prove that OM [tex] \parallel[/tex] AC.

Answers

Answer:

this is your answer look it once.

Answer:

this is your answer look it once:

When solving a quadratic equation, what do the x-values stand for as it relates to plotting the graph of the equation?
a.
x-intercepts
c.
minimum value
b.
vertex
d.
axis of symmetry
NOT D

Answers

x means an axis of symmetry

Answer:

the answer should be 'd'

Help me what is the total volume I’ll mark brainliest!

Answers

Answer:

600 ft

Step-by-step explanation:

Mark as brainilest

And I'm only 80% sure that is the correct

Which of the following represents a sum from the expression given?


A. 21
B. 2
C. 13x2
D. 13x2 + 8x

Answers

d.13x2+8x , possibly be ur answer

What is the perimeter of the track, in meters?
Use π = 3.14 and round to the nearest hundredth of a meter




need help pls i only have 17 points im getting more though. ill give u 13.

Answers

Answer:

i think the answer is  (12*3.14 = 37.68cm is the circumference and 6^2*3.14 = 113.04cm2 is the area.)

Step-by-step explanation:

Answer:

maybe 127.30

Step-by-step explanation:

Gary can raise his credit score by ________.
A
never borrowing money

B
keeping his debt above 30% of his credit card limit

C
cutting up his credit card

D
paying his bills on time

Answers

Answer:

B keeping his debt above 30% of his credit card limit.

Select ALL the numbers that are greater than 2.

Answers

Answer: B and D

8/9 • 2 = 1.77

13/11 • 2 = 2.36

3.7 • 0.5 = 1.85

hope this helped :)

The total cost of an $85.73 meal with a 20% tip

Answers

Answer:

$102.9

Step-by-step explanation:

20% of 85.73 is 17.15

to finish, you’ll just need to add 85.73 with 17.15 to get you answer,

the total cost of the meal is $102.9

brainliest? ..if you don’t mind

Answer:

$102.876 or $102.88

Step-by-step explanation:

20%/100=0.20

85.73*0.20=17.146

85.73+17.146=102.876

Can someone please help me with these couple of questions!

Answers

Step-by-step explanation:

#44 y = 180-122 = 58

x = (180-58)/2 = 61

identify all the numbered angles that are congruent to the given angle.​

Answers

Answer:

1, 4, and 7

Step-by-step explanation:

1, 7, 4

Opposite angles are congruent

un comerciante vendio pantalones de mezclilla a dos precios distintos, unos a 450 pesos y otros a 360 pesos. si obtuvo un total de 33390,¿cuántos pantalones vendio de cada precio?​

Answers

Answer:

Spanish?

Step-by-step explanation:

A cell phone is in the shape of a rectangular prism, with a length of 4 inches, a width of 2 inches, and a height of 1 inch. What is the volume of the cell phone?

Answers

Answer:

8

Step-by-step explanation:

V=whl=2·1·4=8

Volume = width times length times height = 2 x 1 x 4 =8

I hope this helps!!

I need help with please

Answers

Step-by-step explanation:

1. Formula for simple interest,

[tex]a = p(1 + rt)[/tex]

where

a = Final amount

p = Principal amount

r = annual interest rate

t = time in years

given p = 1250

r = 4.25/100 (r is a raw number, not percentage, so we need to divide 100 here to get the raw number)

t=4

Substitute values into formula to get a.

[tex]a = 1250(1 + (\frac{4.25}{100})(4)) \\ = 1250(1 + 0.17) \\ = 1250(1.17) \\ = 1462.50dollars[/tex]

Let's use the simple interest to calculate Henry's final amount first.

p = 5000

r = 4.2/100

t = 4

[tex]a = 5000(1 + ( \frac{4.2}{100} )(4)) \\ = 5000(1 + 0.168) \\ = 5000(1 .168) \\ = 5840 \: dollars[/tex]

To calculate the interest paid, just use the final amount minus the principal amount

[tex]a - p = 5840 - 5000 \\ = 840dollars[/tex]

Now we will do the exact same method for Ingrid.

p = 5,000

r = 3.9/100

t = 6

[tex]a = 5000(1 + ( \frac{3.9}{100} )(6)) \\ = 5000(1 + 0.234) \\ = 5000(1.234) \\ = 6170 \: dollars[/tex]

[tex]a - p = 6170 - 5000 \\ = 1170dollars[/tex]

Difference in interest between 2 of them =

Interest of Ingrid Loan - Interest of Henry Loan

= 1170 - 840

= $330

What two plane geometric figures are ALWAYS similar?

Answers

Congruent shapes

Explanation

Solve the equation. u+3=7

Answers

Answer: 4

Step-by-step explanation:

u+3=7

u=7-3

u=4

Can someone explain it to me?

Answers

9514 1404 393

Answer:

  175.2 square feet

Step-by-step explanation:

The lateral area is the total area of the side faces. It excludes the area of the top and bottom "bases" of the prism.

It can be found by adding the areas of the four rectangles. The two you can't see have the same areas as the two you can see.

Since the height of each rectangle is 4 feet. the total area will be the product of that and the perimeter of the prism.

  LA = Ph . . . . perimeter times height

  LA = 2(L+W)h . . . . the perimeter is twice the sum of length and width

  LA = 2(12.3 ft + 9.6 ft)(4 ft) = 2(21.9 ft)(4 ft) = 175.2 ft²

The lateral area of the prism is 175.2 ft².

__

The attachment shows scribbling on two of the faces that contribute to the lateral area. As stated above, the other two faces are the same size as these.

Awesome Autos creates the following advertisement to compare the prices of its used cars to those of Cool Cars. Which statement best explains how Awesome Autos misrepresented the data? (could someone please help)

Answers

1

Step-by-step explanation:

Answer: A. The graph for Awesome Autos does not begin at 0 and makes its prices appear less than those of Cool Cars.

4. The Conner family has created a budget for their $3,000 monthly income. Based on the budget below, which statement is not true? RENT FOOD UTILITIES CAR INSURANCE SAVINGS AMOUNT (5) $900 $550 $200 $300 $450 $600

F. the car accounts for 10% of the budget

G. the rent and savings account for more than 50% of the budget

H. savings accounts for 20% of the budget

J. insurance accounts for 15% of the budget​

Answers

Answer:

i have the same question

Step-by-step explanation:

i have the same question

the answer is G i just did this

determine the speed in metres per second if it takes 10 minutes to walk 1,2 kilometre​

Answers

Step-by-step explanation:

[tex]speed = \frac{distance}{time} \\ = \frac{(1.2 \times 1000)m}{(10 \times 60)s} \\ = \frac{1200m}{600s} \\ = 2 \frac{m}{s} [/tex]

Find the height of the trapezoid

Answers

Write A=h(b1+b2)/2, where A represents the trapezoid's area, b1 represents one of the base lengths, b2 represents the other base length and h represents the height. Rearrange the equation to get h alone. Multiply both sides of the equation by 2 to get. 2A=h(b1+b2).

Find the missing term(s) of the geometric sequence: 39, a2 , 975, ... Hint: r can be positive or negative.

Answers

9514 1404 393

Answer:

  ±195

Step-by-step explanation:

For some common ratio r, your missing term satisfies ...

  39r = a2

  a2·r = 975

So, ...

  975 = 39r^2

  25 = r^2

  r = ±√25 = ±5

The missing term a2 = 39r could be either of 195 or -195.

what is the answer to this fraction 4/8+2/8+4/8​

Answers

Answer:

1 2/8 OR 1 1/4

Step-by-step explanation:

4/8 + 2/8 + 4/8 =

6/8 + 4/8 =

10/8 =

1 2/8 OR 1 1/4

Hope that helps!

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