3x2-9=0 GCF. It’s Precalculus btw

Answers

Answer 1

Answer:

x = ± [tex]\sqrt{3}[/tex]

Step-by-step explanation:

3x² - 9 = 0 ( add 9 to both sides )

3x² = 9 ( divide both sides by 3 )

x² = 3 ( take square root of both sides )

x = ± [tex]\sqrt{3}[/tex]

or

3x² - 9 = 0 ← factor out 3 from each term

3(x² - 3) = 0

equate x² - 3 to zero and solve for x

x² - 3 = 0 ( add 3 to both sides )

x² = 3 ( take square root of both sides )

x = ± [tex]\sqrt{3}[/tex]


Related Questions


I can’t figure out the answer

Answers

Answer:

B

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{\frac{a}{b} }[/tex] × [tex]\sqrt{\frac{c}{d} }[/tex] = [tex]\sqrt{\frac{ab}{cd} }[/tex] , then

[tex]\sqrt{\frac{3x}{2} }[/tex] × [tex]\sqrt{\frac{x}{6} }[/tex]

= [tex]\sqrt{\frac{3x^2}{12} }[/tex]

= [tex]\sqrt{\frac{3x^2}{3(4)} }[/tex]

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

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

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

Ed and Fay shared £330 in the ratio 7 : 4

Ed gives Fay some of his money.

Fay now has the same amount as Ed.

How much does Ed give Fay?

Answers

Ed must give Fay a total of £45 for both to have the same amount of money.

How to solve ratio

Total = £330

Ed = 7Fay = 4Total ratio = 7 + 4

= 11

Ed share = 7/11 × 330

= £210

Fay share = 4/11 × 330

= £120

For Ed and Fay to have the same amount of money, their share must be exactly half of £330.

That is, they must each have £330/2

= £165

Fay:

£165 - £120 = £45

Therefore, Ed must give Fay a total of £45 for both to have the same amount of money.

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When darryl and his family moved to the city, there were 133 retail stores. use the equation to predict what year darryl’s family moved to the city.

Answers

According to the information, the year Darryl and his family arrived in the city was 2001.

How to calculate the year that Darryl and her family moved to the city?

To calculate what year Darryl and her family moved to this city, we need to replace the value of x with the year they moved and the result should be 133.

y = 11x + 12133 = 11x + 12133 - 12 = 11x121 = 11x121 ÷ 11 = x11 = x

According to the above, 11 years passed from 1990 to the year in which Darryl and his family moved to the city, that is, the year 2001.

Note: This question is incomplete because the options and image are missing. Here is the complete information:

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Simplify.

23+4⋅8




40

80

96

160
HELP HELP HELP !!!!!!!!!!!!

Answers

Answer:

40 is answer follow me I give you the answer

Answer:

40 i think

Step-by-step explanation:

During the movie norma ate 3 handfuls of snack mix and brennan ate 1 3/8 handfuls how much more did norma eat?

Answers

Answer:

1.625 more handfuls

Explanation:

To start, we know that Norma ate 3 handfuls

n (Norma) = 3

Next, we learn that Brennan ate 1 and 3/8 handfuls. 3/8 converted into decimal form is 0.375, so Brennan ate 1.375 handfuls

b (Brennan) = 1.375

To figure out the difference between the two, you do Brennan's 1.375 and subtract it from Norma's 3.

An equation for this (if it helps) would be

n - b = x

To solve, substitute the values to find x

In conclusion, Norma ate 1.625 more handfuls than Brennan

♡ Ok now have a great day, you are doing amazing! I'm so proud of you! ♡

Find the surface area of the cylinder

Answers

Answer:

Surface area of the cylinder is 377 cm² (approximately)

Step-by-step explanation:

Given :-

Radius of the cylinder = 6cmHeight of the cylinder = 4 cm

To find :-

Surface area

Solution :-

We know that,

Surface area of cylinder = 2πr(h + r)

Substituting the required values,

➝ Surface area= 2 × 22/7 × 6 (6 + 4)

➝ Surface area = 264/7 (10)

➝ Surface area = 2640/7

➝ Surface area ≈ 377 c

Hence,

Surface area of the cylinder is 377 cm² (approximately)
Explaination :

After refering the diagram given in attachment, we clearly came to knew that the radius of the cylinder is 6 cm and height of that cylinder is 4 cm.

Radius (r) = 6 cm Height (h) = 4 cm

As we know that total surface area of cylinder is calculated by the formula :

T.S.A. = 2πr (h + r)

Where,

r is radius h is height Value of π is 22/7

Putting the values in the formula :

>> T.S.A. = 2πr (h + r)

>> T.S.A. = 2 × (22/7) × 6 (6 + 4)

>> T.S.A. = 2 × (22/7) × 6 (10)

>> T.S.A. = 2 × (22/7) × 6 × 10

>> T.S.A. = 2 × (22/7) × 60

>> T.S.A. = (44 / 7) × 60

>> T.S.A. = 44 × 60 / 7

>> T.S.A. = 2640 / 7

>> T.S.A. = 377

Therefore,

Surface area is 377cm²

If f(x) = 8 – 10x and g(x) = 5x 4, what is the value of (fg)(–2)? –196 –168 22 78

Answers

After solving the values f(x) = 8 – 10x and g(x) = 5x 4, the value of (fg)(–2) will be -168.

What is Function?

function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and dependent variable.

f f(x) = 8 - 10x and g(x) = 5x + 4, what is the value of (f9)(-2)?

Replace x in each equation with -2:

f(x) = 8 -10(-2) = 8 +20 = 28

g(x) = 5(-2) + 4 = -10 + 4 = -6

Now multiply the two"

28  * -6 = -168

The answer is -168

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From their location in the diagram, what are two possible values for n and m?

A diagram with concentric circles. The outer circle is labeled rational numbers, with an m. The middle circle is labeled integers. The smallest is labeled whole numbers, with an n.

m=3.3, n=−14

m=−2, n=−62

m=6, n=−43

m=−38, n=12

Answers

Concentric circle simply means the circle that has a common center or axis.

What is a concentric circle?

Your information is incomplete. Therefore, an overview of concentric circles will be given. The region between two concentric circles is known as the annulus.

An example of concentric circle is the ripple that is made when a pebble is dropped inside water. The formula for a concentric circle is given as:

(x - h)² + (y - k)² = r².

In conclusion, when two circles have same center, they're called concentric circles.

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Suppose Gina can spend a maximum of $150 for fabric for her project. To the nearest tenth, how many yards of each type of fabric could she buy? Write your answer as an inequality. Show your work.

Answers

The length restrictions for each fabric are described by the following inequalities:

Batik

0 ≤ n ≤ 16.67 yd

Linen

0 ≤ n ≤ 18.75 yd

How to determine an inequation related to the quantity of yards bought

In this question we notice that the quantity of yards of fabric (n) is directly proportional to the cost (C). First, we should derive the formulae based on the information contained in tables:

Batik

C = 9 · n     (1)

Linen

C = 8 · n     (2)

Now we proceed to determine the maximum possible amount of fabric:

Batik

n = 150/9

n = 16.67 yd

Linen

n = 150/8

n = 18.75 yd

The length restrictions for each fabric are described by the following inequalities: (Please notice that length is a positive real variable)

Batik

0 ≤ n ≤ 16.67 yd

Linen

0 ≤ n ≤ 18.75 yd

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a. yes, reflection across y=x
b. no
c. yes, rotation 180
d. yes, translation up 3 units

Answers

Answer:

A

filler filler filler

What is the simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3)? a. 5x2 − 25x 3 b. -5x2 − 25x 3 c. -5x2 x 3 d. -5x2 − 25x − 3

Answers

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

What is the simplified form of an expression?

The simplified form of an expression is the simplest way of expressing it, which is obtained  by applying the required operations of mathematics.

The expression given as,

[tex]2x(x - 6) - 7x^2 - (13x - 3)[/tex]

Open the brackets to solve it further,

[tex]2x(x - 6) - 7x^2 - (13x - 3)\\2x^2-12x-7x^2-13x-3\\2x^2-7x^2-12x-13x-3\\-5x^2-25x-3[/tex]

The simplest form of the expression 2x(x − 6) − 7x2 − (13x − 3) obtained after applying the operations of mathematics is -5x²-25x-3.

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find the profit if C.P=620 and S.p=760​

Answers

Answer: hope I helped look down

Step-by-step explanation:

Gain = (713 – 620)= 93 Rs. So, the gain percent is 15%

Which number is equivalent to
0.0020635?

A 2.635 x 102

C 2.0635 x 102

B 2.635 x 10-3

D 2.0635 x 103

Answers

Answer:

2.635 x 10-3

Step-by-step explanation:

Since 0.0020635 has 3 zeros on the left of 2 then the power on 10 needs to be 3. AND since the zeros are in the left of 2 not right of 2, the power needs to be negative. So, 10^-3

help fast!! (no links please.)

Answers

Answer:

C) 3

Step-by-step explanation:

Plug in the values on c and d and solve

((3)^2 + (2)^2) - 2((3)^2 - (2)^2)

Solve inside the parenthesis first

(9+4) - 2(9-4) = (13) - 2(5)

Distribute the 2 and solve

13 - 10 = 3

i need help plsss !!!!!!

Answers

Answer:

I think the 2nd and the forth

How many possible 10-digit phone numbers are possible (7 digits plus the
area code)? Type your answer into the box.

Answers

Using the Fundamental Counting Theorem, it is found that 3,250,000,000 phone numbers are possible.

What is the Fundamental Counting Theorem?

It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:

[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]

In this problem:

For the first 3 digits, which correspond to the area code, there are 325 options in total, that is, [tex]n_1n_2n_3 = 325[/tex].For the final 7 digits, each of them has 10 options.

Hence:

[tex]T = 325 \times 10^7 = 3,250,000,000[/tex]

3,250,000,000 phone numbers are possible.

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WILL GIVE BRAINLIEST
Rewrite (see picture) in standard form. Find the center and radius of the circle. Show all of your work for full credit.

Answers

Answer:

[tex](x - 2)^{2} + (y + \frac{5}{2} )^{2} = \frac{37}{4}[/tex]

Step-by-step explanation:

The standard form of the equation: (x-2)²+ (y + 5/2)² = 37/4 , center: (2, -5/2) and radius: (√37) / 4.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

We have given the equation,

2x²+2y²-8x + 10y+2 = 0

Divide by 2,

x²+y²-4x + 5y+1 = 0

Arranging the terms to make a complete square of variable x and y.

x²+y²-4x + (2/2)5y+1+ 4 + 25/4 = 4 + 25/4

(x-2)²+ (y + 5/2)² = 37/4

This is the form of a circle.

Use this form to determine the center and radius of the circle.

(x−h)²+(y−k)²=r²

Match the values in this circle to those of the standard form.

The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from the origin.

r=(√37) / 4, h=2, k= -5/2

The center of the circle is found at (h,k).

Center: (2, -5/2)

Therefore, center: (2, -5/2), radius: (√37) / 4

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Ms.Mendoza's monthly income was increased by 15%. If her salary last month was 10,000,how much is her salary now​

Answers

Answer:

11500

Step-by-step explanation:

15÷100 = 0.15

0.15 × 10000 = 1500

10000 + 1500 = 11500

I REALLY REALLY NEED HELP!!! CANT FIGURE THIS OUT!! GIVING BRAINLIEST TO BEST ANSWER! IM DESPERATE!!




Write a story that could represent the math problem in the picture. You can do itttt!

Answers

Here is a story problem that can go with this:

There was [tex]\frac{3}{4}[/tex] of the cake left after the party. Matthew ate [tex]\frac{2}{6}[/tex] of the leftover cake. How much of the cake did Matthew have?

Answer:

See below ↓

Step-by-step explanation:

There were 24 ice cream cones of different flavors for sale. Marcos buys 3/4 of them and Angelo buys 2/6 of them from Marcos. What is the fraction of the flavors Angelo bought?

23 = y* 5 -2 what is y?

Answers

Answer:

5

Step-by-step explanation:

[tex]23 = y \times 5 - 2 \\ 25 = y \times 5 \\ 5 = y[/tex]

Which decimal is equal to 3/5?

0.25
0.3
0.4
0.6
0.75

Answers

Answer:

.6

Step-by-step explanation:

We want to get the denominator to 10

3/5 * 2/2 = 6/10

The decimal equivalent is

.6

Your car averages 31 mph on the highway, but the actual mileage varies from average by at most 5 mph. What is your range of mileage?​

Answers

Answer:

26-36

Step-by-step explanation:

If I'm not mistaken, the range of milage should be 26-36 mph, because we know that the maximum you will deviate from your avergae is 5 in either direction. So, you can subtract 5 from 31 (26) and add 5 to 31 (36) to get the range.

Hope this helps! :)

What is the slope of the line 5y = 2x - 15?

Answers

Answer:

2/5x

Step-by-step explanation:

The equation of a line in slope intercept form:

y = mx + b, where m is the slope and b is the y-intercept.

1) Rearrange the terms so it matches y = mx + b. In this case, it is already rearranged.

5y = 2x - 15

2) Divide the terms by 5.

y = 2/5x - 3

Answer:

2/5 is the slope of the line 5y = 2x - 15

Step-by-step explanation:

y = mx + b

                 m = slope

                  b = y-intercept.

5y = 2x - 15

Divide  both sides  by 5.

y = 2/5x - 3

  2/5 =m

2/5=slope

What is the value of x? *
150
Х
4x
15

Answers

Answer:

Hope it helps you.......

Find the zeros of the function p(x) = -9x^2 + 1

Answers

Answer:

Zeros: 1/3 and -1/3

Step-by-step explanation:

You can solve this for the zeros by using the factoring method:

p(x) = (-3x-1)(3x-1)

Then, you take each factored equation and set it equal to zero:

-3x-1=0

3x-1=0

Then, solve for zero:

-3x=1    x=-1/3

3x=1     x=1/3

Your zeros are 1/3 and -1/3.

What is the following product?
(~/14 - 3)(/12 +7)
O 2N/42+7N/2-6-/21
O 14-6+N7
• 26 + /21 -/15-/10
2,/42 - 21

Answers

(√14-√3)(√12-√7)√14(√12-√7)-√3(√12-√7)√168-√98-√36-√212√42-7√2-6-√21

Option A

pls answer quick. i will award brainliest!

Answers

I believe the answer is 15.



Explanation:


We know that one side of the shape is 15 square inches long, so we can infer that the side parallel to it is also 15. So we have a total of 30 so far. 60-30= 30. 30/2 is 15. So x=15

name this polynomial:-14

Answers

Answer:

monomial

Step-by-step explanation:

monomial eg 14 , x , 15x , -50 , -70x

This is -14 is a monomial the reason is there is only one term.

Rob's first four test scores are 80, 85, 100, and 85. What does he have to score on the last test in order to have a test average of 90?

options:

90


100


10


95

Answers

Answer:

100

Step-by-step explanation:

Can anyone solve this correctly?

Answers

Answer:

A.[tex]200.96 \: {ft}^{2}[/tex]

Step-by-step explanation:

Corral is circular in shape.

Radius of the corral would be be the distance from the post to the edge of the corral.

-> r = 8 ft

[tex]A(grass\: eaten) = \pi {r}^{2} \\ \\ = 3.14 {(8)}^{2} \\ \\ = 200.96 \: {ft}^{2} [/tex]

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