What is the solution of the inequality 9 - x^2<0?

Answers

Answer 1

Answer:

[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]

Step-by-step explanation:

Given:

[tex]9-x^2 < \:0[/tex]

Solve:

[tex]\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}[/tex]

[tex]9-x^2-9 < 0-9[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]-x^2 < -9[/tex]

[tex]Multiply\:both\:sides\:by\:-1\:[/tex]

[tex]\left(-x^2\right)\left(-1\right) > \left(-9\right)\left(-1\right)[/tex]

[tex]\mathrm{Simplify}[/tex]

[tex]x^2 > 9[/tex]

[tex]\mathrm{For\:}u^n\: > \:a\mathrm{,\:if\:}n\:\mathrm{is\:even}\mathrm{\:then\:}u\: < \:-\sqrt[n]{a}\:or\:u\: > \:\sqrt[n]{a}[/tex]

[tex]x < -\sqrt{9}\quad \mathrm{or}\quad \:x > \sqrt{9}[/tex]

[tex]\sqrt{9}=3[/tex]

[tex]x < -3\quad \mathrm{or}\quad \:x > 3[/tex]

~lenvy~


Related Questions

( Pls Help ASAP) 1 question 15 points))

Answers

Answer:

-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

It says to find the value at x=2. This is going to be a vertical line that passes through the point (2,0). This vertical line intersects the function at (2,-3) therefore the value of the function at 2, is -3.

I hope this helps!

Please mark brainliest!!

Based on data from two very large independent samples, two students tested a hypothesis about equality of population means using α = 0. 2. One student used a one-tail test and rejected the null hypothesis, but the other used a two-tail test and failed to reject the null. Which of these might have been their calculated value of t?

Answers

Based on the calculations, the most likely value of t is equal to 2.2.

Given the following data:

[tex]\alpha =0.2[/tex]

What is a null hypothesis?

A null hypothesis ([tex]H_0[/tex]) can be defined the opposite of an alternate hypothesis ([tex]H_a[/tex]) and it asserts that two (2) possibilities are the same.

For the one-tail test, we would reject the null hypothesis ([tex]H_0[/tex]) when the p-value is lesser than the value of [tex]\alpha[/tex];

[tex]H_o: P(Z > |\delta|) < 0.02[/tex]

For the two-tail test, we would fail to reject the null hypothesis ([tex]H_0[/tex]) when the p-value is greater than the value of [tex]\alpha[/tex];

[tex]H_o: 2P(Z > |z|) > 0.02\\\\H_o: P(Z > |z|) > 0.01[/tex]

Next, we would determine the positive value of z-score that satisfies this expression;

[tex]0.01 < P(Z < z) < 0.02\\\\[/tex]

From the z-table, we have:

[tex]P(Z > 2.326)\;and\; P(Z > 2.054)\\\\2.054 < z < 2.326[/tex]

Therefore, t = 2.2.

Read more on null hypothesis here: https://brainly.com/question/14913351

Please help me with this please and thank you

Answers

Answer:

B

Step-by-step explanation:

the common ratio r of a geometric sequence is calculated as

r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{12}{3}[/tex] = 4

Answer:

B   4

Step-by-step explanation:

Divide any number (other than the first one) in the sequence by the previous number.

12/3 = 4

48/12 = 4

Answer: B   4

How do I find the fraction that 480 is divided by to get 300

Answers

Answer: Final answer: :: written in four ways :: As an improper fraction (numerator larger than denominator): 480/300 = 8/5As a mixed number (mixed fraction) (a whole number and a proper fraction, of the same sign): 480/300 = 1 3/5As a decimal number: 480/300 = 1.6As a percentage: 480/300 = 160%

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar: 480/300The number above the bar is the numerator: 480 The number below the bar is the denominator: 300 The fraction bar means that the two numbers are dividing themselves: 480/300 = 480 ÷ 300 Divide the numerator by the denominator to get fraction's value: Value = 480 ÷ 300

'Percent (%)' means 'out of one hundred': p% = p 'out of one hundred', p% = p/100 = p ÷ 100 

The fraction 100/100 = 100 ÷ 100 = 100% = 1 Multiply a number by the fraction 100/100, ... and its value doesn't change.

To reduce a fraction, divide both its numerator and denominator by their greatest common factor, GCF. To calculate the greatest common factor, we build the prime factorization of the two numbers. 

Prime Factorization of a number: finding the prime numbers that multiply together to make that number. 480 = 25 × 3 × 5; 480 is not a prime, is a composite number; 300 = 22 × 3 × 52; 300 is not a prime, is a composite number; * Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself. * A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

A proper fraction: numerator smaller than denominator.  8 ÷ 5 = 1 and remainder = 3 => 8 = 1 × 5 + 3 => 8/5 = (1 × 5 + 3) / 5 = (1 × 5) / 5 +  3 / 5 = 1 + 3/5 = 1 3/5 

As a decimal number: 1 3/5 = 1 + 3/5 = 1 + 3 ÷ 5 = 1.6

As a percentage: 1.6 = 1.6 × 100/100 = 160/100 = 160% 

In Art Museum has 1042 pictures to split equally into 35 different exhibits. How many more pictures does the museum need to make sure each Exhibit
Has the same amount

Answers

Answer:

8 more pieces

Step-by-step explanation:

First, divide 1042 by 35 to get 29 and 27/35. Since each exhibit needs 35 pieces, and since 35- 27 is 8, the museum needs 8 more pieces.

Hopefully this helps- let me know if you have any questions!

1)Jamal has 24 inches of yarn. How many feet of yarn does he have?2) Ricardo has 1/2 of a foot of yarn. How many inches does he have?

Answers

Answer:

Jamal has 2.5 feet of yarn

Step-by-step explanation:

PLS HELP ILL MARK AS BRAINLIEST PLSS

Answers

Answer:

10%

Step-by-step explanation:

I think it's right lol but I could be wrong I forgot a lot of this stuff

but out of all the data it goes from 22-42 so 20 points in total

there is only 2 of the data points behind 24, so it is 2/20 or 10%

please help i am confused.

Answers

The correct answer is the last one

This is because C and F do not join on the shape

Below are two parallel lines with a third line intersecting them.
(Please help T-T)

Answers

Answer:

x = 136

Step-by-step explanation:

44 + x = 180

x = 180 - 44

x = 136

AB - CD + 2D x A x (AC - BD

also i know it says im old but im in middle school

b=4 a=3 c=6 d=2

Answers

-120

12-12+4x3x(18-8)
12-12+4x3x10
12-12+120
12-132
=-120

a circle is enlarged. the original had a radius of 10 cm. if the new circle has a radius of 30 cm, how many times bigger is the new circumference than the original?

Answers

Answer:

3 times bigger

Step-by-step explanation:

[tex]circumference \: of \: a \: circle \: has \: the \: formular \\ c = 2\pi \: r \\for \: the \: original \: circle \: c = 2 \times 3.14 \times 10 = 6.28 \\ = 63 \: approxiately \\ for \: the \: new \: circle \: c = 2 \times 3.14 \times 30 = 188.8 \\ = 188 \: approximately \\ them \: \frac{188}{63} =2.984 \\ = 3 \: approximately \\ therefore \: the \: bigger \: circumferene \: is \: 3 \: times \: the \: smaller \: circumference[/tex]

The radius of a circle with area A is approximately √A/3. The area of a circular mouse pad is 51 square inches. Estimate its radius to the nearest integer.

Answers

Answer:

23 square meter from Nthabiseng Selina Tsolo

three of the angles of a quadrilateral are 100, 104 and 44. what is the size of the 4th angle?

Answers

Answer:

112

Step-by-step explanation:

Sum of interior angles in quadrilaterial = 360

360 - 100 - 104 - 44 = 112

Step-by-step explanation:

Let the 4th angle = x

Now,

x + 100 + 104 + 44 = 360° ( the sum of interior angle of quadrilateral is 360°)

x + 248 = 360°

x = 360° - 248

x = 112

Hence, the fourth angle is 112....

If x = 5 when y = 12, find y when x = 10.

Answers

Answer:

y = 24

Step-by-step explanation:

We need to double the x value by 2 and when we do that we will get the y value .

12 x 2 = 24

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

y = 6

Step-by-step explanation:

Since x and y vary inversely, we have:

xy=k

For x= 5 and y = 12, we have:

⇒  5×12=k

⇒  k= 60

For x= 10, we have :

⇒  10y = 60

y = 60/10

y = 6

[RevyBreeze]

Look at the PICTURE and please respond FAST to get MARKED best.

Answers

Opposite angles equal each other.

120= 2y+30
90=2y
45=y

Adjacent angles sum equals 180, because the flat line angle is 180.

2x+10 + 45 = 180
2x+55 = 180
2x= 125
X = 62.5

Answer:

y = 45, x = 25

Step-by-step explanation:

Since 120 and (2y + 30) are vertical angles, (2y + 30) will equal 120.

2y + 30 = 120, Subtract by 30 on both sides

2y = 90, Divide 90 by 2

y = 45

Since 120 and (2x + 10) equal a straight line, it's a supplementary angle. Supplementary angles are equal to 180. Then you do 180 - 120, which equals 60. That means (2x + 10) equals 60.

2x + 10 = 60, Subtract 10 by both sides

2x = 50, Divide 50 by 2

x = 25

Angle α is drawn on the unit circle in standard position. The terminal side of angle α intersects the unit circle at point (-0.292, 0.956). What is the approximate decimal value of tan(α)?

Answers

Answer: -3.274

Step-by-step explanation:

Since this is on the unit circle, the cosine is equal to the x coordinate and the sine is equal to the y coordinate.

Since tan = sin/cos, its approximate value is 0.956/-0.292, which is about -3.274.

Andrew has $550 in a savings account that earns 5% annually how much will she earn in interest in 4 years​

Answers

Answer:

110

Step-by-step explanation:

formula= P×T×R ÷ 100

550×4×5÷100

55×4×5÷10

1100÷10

$110

per
Write your answer as a fraction or as a whole or mixed num
1
6
km
13
1
km
1
13
6
km
13
6
1 18 km
13

Answers

Answer:

5 11/13km

Step-by-step explanation:

4 ( 1 6/13)

4× 19/13

= 5 11/13

A group of 7 friends each received 5/6 of a pound of candy. How much candy did they receive total?

Answers

Answer:

A group of seven friends each received one-half of a pound ofcandy. How much candy did they receive total?✓

0.5 pounds x 7= 3.5 poundsStep-by-step explanation:

Over 7 months, the weight of a baby measured in pounds doubled. Does its weight measured in kilograms also doubled

Answers

Answer:

Yes

Step-by-step explanation:

Yes. Explanations vary. Sample explanation: The weight itself doubles, so

any measurement of the weight using the same units will also double. We

can also see that by saying if the weight is x pounds, then double that weight

would be 2x pounds. The weight in kilograms will be x ÷ 2.2, and the double

weight will be or (2x) ÷ 2.2 2(x ÷ 2.2), which is also double.

Given that PO and overline WE are equidistant from the center, determine the value of m and n in the circle below.


US = 3m + 2
RU = -m + 9
PO = 20 - 14
EW = -2(2m + 1)

Answers

Based on the equidistant chords theorem, the value of m and n in the circle are:

m = 7/4 = 1.75

n = 1/2 = 0.5

What is the Equidistant Chords Theorem?

The equidistant chords theorem states that, two chords are congruent if they are equidistant to the center of the same circle.

Given:

US = 3m + 2 RU = -m + 9 PO = 20 - 14 EW = -2(2m + 1)

Thus, since US = RU, therefore chords PO and EW are congruent based on the equidistant chords theorem.

Therefore:

3m + 2 = -m + 9

Add like terms

3m + m = -2 + 9

4m = 7

m = 7/4

m = 1.75

20n - 14 = -2(2n + 1)

20n - 14 = -4n - 2

20n + 4n = 14 - 2

24n = 12

n = 12/24

n = 1/2 = 0.5

Therefore, based on the equidistant chords theorem, the value of m and n in the circle are:

m = 7/4 = 1.75

n = 1/2 = 0.5

Learn more about equidistant chords theorem on:

https://brainly.com/question/9016531

Due on Monday.
Show step by step
[tex]7n^{2} -7[/tex]

Answers

7n2-7 = 7 (n -1)(n+1)

Answer: 7(n + 1)(n - 1)

Step-by-step explanation:

[tex]7n^2-7[/tex]

[tex]\mathrm{Rewrite\:}7\mathrm{\:as\:}7\cdot \:1[/tex]

[tex]=7n^2-7\cdot \:1[/tex]

[tex]$$ Factor out the common term 7[/tex]

[tex]=7\left(n^2-1\right)[/tex]

[tex]$$ Factor $n^2 - 1[/tex]

[tex]\mathrm{Rewrite\:}1\mathrm{\:as\:}1^2[/tex]

[tex]=n^2-1^2[/tex]

[tex]$$ Apply difference of two squares formula $ x^2 - y^2 = (x+y)(x-y)[/tex]

[tex]n^2-1^2=\left(n+1\right)\left(n-1\right)[/tex]

[tex]\therefore \bf{7\left(n+1\right)\left(n-1\right)}[/tex]

six hundred kilograms of tea were packed in 500 g packets. how many packets of tea were there?​

Answers

Answer:

1200

Step-by-step explanation:

600 in grams = 600 x 1000

= 6 x 10^5

(6 x 10^5) / 500 = 1200.

Answer:

1200 packets

Step-by-step explanation:

1 kg = 1000 gram

600 kg = 1000 × 600 = 600,000

now,

packets of tea were ( 600000 ÷ 1000) = 1200 packets

i dont understand this question im very bad at maths

Answers

the volume for a cuboid is length • width • height
so it’s 2400
Answer:

2400cm³

Step-by-step explanation:[tex]Volume=15\times 20\times 8[/tex]

             [tex]=300\times 8\\ =2400cm^3[/tex]

[tex](Analyze\ the\ information\ carefully)[/tex]

I hope this helps you

:)

5. The function f(x) = 17400(0.85)* represents the values of a certain type of car x years after it is
purchased. Xavier states that the decay rate of the value of the car is 85%.

Answers

Answer:

Prakash is a pilot change into yes no question

HELP!!!!!HELPPPPPPPPP!

Answers

Answer: answer C.

Step-by-step explanation: you have to add and divide


Find the product of 3 1/5 and 5/8.
Express your answer in simplest form.

Answers

answer:ok

there are 3 and one fith apples

he need 4

apples

he adds 5/8

apples to his basket

how many apples doess  he end up with

Step-by-step explanation:you add them together

A cylinder has volume 120 cm3.What is the volume of a cone with the same radius and height? ? 40 cm 60 cm O 240 cm 360 cm 3​

Answers

The volume of a cone with the same radius and height as the cylinder is 40cm³.

What is the volume of the cone?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

n = 22/7r = radius

Volume of a cone = 1/3(nr^2h)

The volume of a cone, is 1/3 that of a cylinder.

Volume of the cone = 1/3 x 120 = 40

To learn more about the volume of a cone, please check: https://brainly.com/question/13705125

Answer:cool

Step-by-step explanation:

iono

what value of a makes this proportion 4/12 = a/27

Answers

Answer:

The Formula for Percent Proportion is Parts /whole = percent/100. This formula can be used to find the percent of a given ratio and to find the missing value of a part or a whole.

Answer:

a = 9

Step-by-step explanation:

[tex]\frac{4}{12}[/tex] = [tex]\frac{a}{27}[/tex] ( cross- multiply )

12a = 108 ( divide both sides by 12 )

a = 9

Scientists put marks on 72 moose as part of an effort to estimate the local moose population. Later, the scientists flew over the area and counted a total of 430 moose, of which 43 were marked. To the nearest whole number, what is the best estimate for the moose population?

Answers

Answer:

72x430/43

Step-by-step explanation:

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