How to solve (x+7)(x-9)>0

Answers

Answer 1

9514 1404 393

Answer:

  (x < -7) ∪ (x > 9)

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero.

  x +7 = 0   ⇒   x = -7

  x -9 = 0   ⇒   x = 9

When this is expanded, we can see that the leading coefficient is positive.

  x² -2x -63 > 0

This means the parabola opens upward. It will be greater than 0 for x-values to the left of the left zero, and to the right of the right zero. (It is less than zero between those values.)

The solution is x < -7 or x > 9.

_____

In general, for polynomial inequalities, look for the locations of the zeros. The sign of the polynomial will have the sign of the leading coefficient for values of x to the right of the right-most zero. (Here, positive for x > 9.) As you progress farther to the left along the number line, the polynomial changes sign at each zero.

Here, the polynomial becomes negative between the values x=9 and x=-7. Then it is positive again for x < -7.

How To Solve (x+7)(x-9)&gt;0

Related Questions

A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?

Answers

Answer:

111 red balls

Step-by-step explanation:

125×0.03= 3.75 3balls

125×0.09=11.25 11balls

125-3-11=111

111 is red

Can someone help me pls I’m stuck

Answers

Answer:

Given quadrilateral can't be inscribed in a circle.

Step-by-step explanation:

Property of a cyclic quadrilateral,

Sum of opposite angles of a cyclic quadrilateral is 180°

If the given quadrilateral fulfills this property, it can be inscribed in a circle.

From the given quadrilateral,

Sum of opposite angles = 168° + 22°

                                        = 190°

Therefore, answer is NO.

Given quadrilateral can't be inscribed in a circle.

What is the lateral area of the pyramid

Answers

Answer:

43.75 ft²

Step-by-step explanation:

[tex]s_l[/tex] = (l√(w/2)² + h²) + (w√(l/2)² + h²)

l & w become 3.5, and h becomes 6.

[tex]s_l[/tex] = (3.5√(3.5/2)² + 6²) + (3.5√(3.5/2)² + 6²)

Step 1:Because this is a square pyramid, what you see above essentially becomes what you see below.

[tex]s_l[/tex] = 2(3.5√(3.5/2)² + 6²)

Step 2: Divide 3.5 by 2 to get 1.75.

[tex]s_l[/tex] = 2(3.5√1.75² + 6²)

Step 3: Square both 1.75 and 6 to get 3.0625 and 36 respectively.

[tex]s_l[/tex] = 2(3.5√3.0625 + 36)

Step 4: Add 3.0625 and 36 to get 39.0625.

[tex]s_l[/tex] = 2(3.5√39.0625)

Step 5: The square root of 39.0625 is 6.25.

[tex]s_l[/tex] = 2(3.5 * 6.25)

Step 6: Multiply 3.5 by 6.25 to get 21.875.

[tex]s_l[/tex] = 2(21.875)

Step 7: Multiply 2 by 21.875 to get 43.75.

[tex]s_l[/tex] = 43.75 ft²

The lateral area of this pyramid is 43.75 ft².

1. Answer the following questions related to purchasing a car.
a. You need to buy a vehicle. The information from the vehicle sticker is
listed below to calculate the negotiated price. (5 points)
2021 Subaru Forester
Retail Price $24,705
Delivery Fee $221
Keyless Entry $350
Dual AC $550
Tinted Windows $500
b. Once you have the correct negotiated price, find the total price with taxes
and fees. You have a registration fee of $150 and 5% tax to pay in addition
to the negotiated price. (10 points)

Answers

It is delivery free 221

what is 26 x4 hurry ii need it nowwwww

Answers

104

6 x 4 = 24
20 x 4 = 80

80 + 24 = 104.

BOOM MAGIC

the answer is 104 hope it helps

Is this relationship proportional or non proportional

Answers

Non-proportional because all the dots are scattered I believe a proportional chart will have a straight line please correct me if I’m wrong :)

There were 650 fruit in a fruit stall. 62% of the fruit were sold. How many fruit were left?

Answers

Answer:

62/100 multiplied by 650 which is 403 fruits left

There will be 247 fruits left

The slope of the line whose equation is 2x + 5y + 1 = 0 is
0-2/5
05/2
0-1/5

Answers

Answer:

0-2/5

I think this is it ;-;

Two numbers total 51 and have a difference of 23. Find the two numbers?

Answers

Answer:

14 and 37

I just kept checking all the pairs I could think of until I got to this answer.

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?
donuts

Answers

Answer:

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donuts

Step-by-step explanation:At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to have sprinkles?

donutsAt Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data, how many of the next 10 donuts sold would you expect to

If 10 donuts are sold. Then the expected value of the number of sprinkles will be 5.

What is binomial distribution ?

The binomial distribution is a discrete probability distribution that models the number of successful outcomes in a fixed number of independent Bernoulli trials, where each trial has a constant probability of success. It is commonly used in statistical modelling to describe the distribution of outcomes in a binary event, such as the success or failure of an experiment, or the presence or absence of a characteristic in a population. The binomial distribution is characterized by two parameters: the number of trials (n) and the probability of success in each trial (p).

E(X) = np

Given that,

At Everyday Donuts, 3 of the last 6 donuts sold had sprinkles. Considering this data.

If 10 donuts are sold.

Then the number of the sprinkles would be

The probability would be

p = 3/6

p = 0.5

n = 10

Now,  the expected value of the number of the sprinkles will be

E(x) = 10 x 0.5

E(x) = 5

Hence, the number of sprinkles is 5

To know more about Binomial distribution check:

https://brainly.com/question/14565246

#SPJ6

Antonio buys 2.25 pounds of grapes at the store. The grapes are on sale for $1.20 per pound. How much will Antonio pay for the grapes?

Answers

Answer:

$2.70

Step-by-step explanation:

HELP this is due today!!!Use PEMDAS to evaluate the expression 7 x 6 + 8 − 16 ÷ 4. (4 points) 40 42 44 46

Answers

Answer:

46

Step-by-step explanation:

7 x 6 + 8 − 16 ÷ 4

42+8-16 ÷4

42+8-4

50-4

46

Answer:

46

Step-by-step explanation:

the answer is 46 may i be marked brainliest?

A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?

Answers

the bed would cost $324.19 hope this helps!

What is the volume of composite shape to the nearest whole number?

please help

Answers

The answer is 52 in

Step-by-step explanation:

answer is 52

i hope this helps

Solve the inequality.
5q + 22-13

Answers

Answer:

The answer is 5q + 9.

Step-by-step explanation:

1) Collect like terms.

[tex]5q + (22 - 13)[/tex]

2) Simplify.

[tex]5q + 9[/tex]

hence, the answer is 5q + 9.

Answer in the attachment :)

Answers

I think it's c hope it's right

If the radius of a circle is 2.6 inches, what is the diameter of the circle?

Answers

Answer:

5.2

Step-by-step explanation:

radius is half the diameter

Answer:

5.2in

Step-by-step explanation:

Solve for a side in right triangles

Answers

You didn't put the picture

GIVING 30 POINTS!!!!!!!

Answers

Answer:

MEAN

Step-by-step explanation:

Have a Great Day!

Answer:

Not quite sure, but I think its the mean?

-8 * f(0) + 4 * g(-8)

Answers

The value of the expression -8 * f(0) + 4 * g(-8) is -60

Complete question

If the following equations represent the functions f(x) and g(x).

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate the value of -8 * f(0) + 4 * g(-8)

How to determine the value of the expression?

We have:

f(x) = 2/3x + 7 and g(x) = 2x + 15

Calculate f(0) and g(-8)

f(0) = 2/3(0) + 7 and g(-8) = 2(-8) + 15

Evaluate

f(0) = 7 and g(-8) = -1

Substitute the above values in the following expression

-8 * f(0) + 4 * g(-8)

So, we have:

-8 * 7 + 4 * -1

Evaluate

-60

Hence, the value of the expression -8 * f(0) + 4 * g(-8) is -60

Read more about functions at:

https://brainly.com/question/15602982

#SPJ1

Answer:

-32

Step-by-step explanation:

khan academy said so

What is the value of x when the Richter
scale rating is 4.37 Round your answer
to the nearest hundredth.

Answers

12589.25
Step by step explanation:
It’s correct on Plato

3) A basketball player averaged 17.3 points per game during his collegiate career. He played in 148
games total. How many points did he score while in college? Round to the nearest whole
number.
a. 2000
b. 2500
c. 2560
d. 2560.4
THIS IS FOR A TEST

Answers

I would say d sorry if wrong

Rafael's salary last year was $49,500 and he took home
$38,610. What was his federal income tax withholding
rate?

Answers

can you give more information ?

I need this assignment done will give brainliest and extra points.

Answers

Answer:

1a.2.5x³-2.25x²+3.5x-1.5

1b.No, they aren't equal. (worked out the product for both and they weren't equal, see below)

2a.-2x⁶+7x⁴+3x³-3x²+11x+20

2b.Yes. When multiplying, it doesn't matter which term/expression you put first

3. The equation has two solutions: x=-2, x=3

Step-by-step explanation:

1. (a)

(0.5x-0.25)(5x²-2x+6)

0.5x(5x²-2x+6)-0.25(5x²-2x+6)

2.5x³-x²+3x -1.25x²+0.5x-1.5

2.5x³-2.25x²+3.5x-1.5

(b)

(0.25x-0.5)(5x²-2x+6)

0.25x(5x²-2x+6)-0.5(5x²-2x+6)

1.25x³-0.5x²+1.5x -2.5x²+x-3

1.25x³-3x²+2.5x-3

This is not equal to our answer for 1(a), so we can see they're not the same.

2(a)

(-2x³+x-5)(x³-3x-4)

-2x³(x³-3x-4) +x(x³-3x-4) -5(x³-3x-4)

-2x⁶+6x⁴+8x³ +x⁴-3x²-4x -5x³+15x+20

-2x⁶+7x⁴+3x³-3x²+11x+20

(b)

Yes. When multiplying, it doesn't matter which term/expression you put first: xy=yx. For example, 2(3)=6 and 3(2)=6.

3

2x²-2x-12=0

(divide each term by 2)

x²-x-6=0

(x+2)(x-3)=0

Anything multiplies by zero is zero, so either x+2=0 or x-3=0

If x+2=0, x=-2. If x-3=0, x=3.

The equation has two solutions: x=-2, x=3

Uhh help?? I’m highly confused I just want answers

Answers

Answer:

1) x = 5√3, y = 5

2) x = 16, y = 8

3) x = 10, y = 5

4) m = 9√15/10, n = 9√5/10

5) x = 3√3/2, y = 3/2

6) x = 6√5, y = 3√5

7) x = 5, y = 5

8) x = 5√2, y = 5

9) a = 2, b = √2

10) m = 10√6/3, n = 5√6/3

Explanation:

For special right triangles, there is a certain side ratio that applies due to the angle measurements which are opposite of the corresponding angles.

For 30° - 60° - 90° triangles (Scalene Right), we can use x as a marker for the side opposite of 30°, the side opposite of the 60° angle will be x√3, and the side opposite of the 90° angle will be 2x.

For 45° - 45° - 90° triangles (Isosceles Right),

Both 45° angles can be thought of as x, and the 90° angle can be thought of as x√2.

This is all computed as a result of the trigonometric functions:

SOH CAH TOA.

This is a shortcut for these specific triangles.

If you do not have the side marked as x, just do the inverse operation to get it.

90° is always opposite of the hypotenuse (longest side of a triangle; looks like a slant)

The lengths of the legs of a right triangle are 8 inches and 9inchrs. What is the length of the hypotenuse round to the nearest inch

Answers

Answer: Hypotenuse is 12 inches

Step-by-step explanation: a^2+b^2=c^2

c^2=8^2+9^2

c^2=64+81

c^2=145

c=square root of 145

c=12.04

Data and
ts
Which data set could be represented by the box plot shown below?
Ots
ng box
+
box plot
25
28
31
34
37
40
ole: Creating
number of
Choose 1 answer:
Sle: Creating
n number
25, 28, 28, 29, 30, 34, 35, 37, 37, 38
25, 28, 29, 29, 30, 34, 35, 35, 37, 38
ting box
25, 28, 29, 29, 32, 34, 35, 36, 37, 38
ox plots
25, 28, 29, 29, 30, 34, 35, 35, 37, 40
preting

Answers

Answer: is D on khan academy


3. State if each statement is correct. If it is not correct, then fix the mistake.

For three problems explanation and work needed

SOON ASP!!!! please.

Answers

Answer:

All are incorrect

Step-by-step explanation:

Required

Determine which is correct or not

[tex](a)\ 2x * 2x = 4x[/tex]

This is incorrect because:

[tex]2x * 2x = 2 * 2 * x*x[/tex]

[tex]2x * 2x = 4x^2[/tex] ---- fixed

[tex](b)\ 3x^3 * 3x^3 = 9x^9[/tex]

This is incorrect because:

[tex]3x^3 * 3x^3 = 3 * 3 * x^3 * x^3[/tex]

[tex]3x^3 * 3x^3 = 9x^(3+3)[/tex]

[tex]3x^3 * 3x^3 = 9x^6[/tex] ---- fixed

[tex](c)\ 4x(4x + 5) =8x + 5[/tex]

This is incorrect because:

[tex]4x(4x + 5) =4x * 4x + 4x * 5[/tex]

[tex]4x(4x + 5) =16x^2 + 20x[/tex] ---- fixed

14/7 = n/21 what is the value of n

Answers

Answer:

n=42

Step-by-step explanation:

14/7=n/21

2=n/21

42=n

n=42

Answer:

n = 42

Step-by-step explanation:

14/7 = 2

42/21 = 2

Given m∠3+m∠8=180° .

Answers

Answer:

5.175117

Step-by-step explanation:

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