A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)?


(x, x2 − 10x − 21), where −7 ≤ x ≤ −3
(x, y), where −7 ≤ x ≤ −3
(x, x2 − 10x − 21), where −8 ≤ x ≤ −2
(x, y) for all real numbers

Answer:

- 5 < x

Step-by-step explanation:

To solve, we need to isolate the variable: x

5x - 7 < 8x + 8

Subtract 5x from both sides

5x -  5x -7 < 8x -5x + 8

- 7 < 3x + 8

Subtract 8 from both sides

- 7 -8 < 3x + 8 -8

-15< 3x

Divide both sides by 3

- 15/3< 3x/3

- 5 < x

Answer:

-5 < x is correct, I double check her answer

Answer:

(x-2)(x^2+2x+4)/x^3

Step-by-step explanation:

if you were doing for x let me know

 The faster pipe will fill the pool in 6 hours and the slower pipe will fill the pool in 12 hours.

Work Done = Time Taken × Rate of Work. Rate of Work = 1 / Time Taken. Time Taken = 1 / Rate of Work. If a piece of work is done in x number of days, then the work done in one day = 1/x.

Given here, two pipes fill the pool in 4 hours if they work together and If one of the pipes fills half the pool then the other takes over and finishes filling the pool, it will take them 9 hours.

Let volume of the pool be LCM(9,4)= 36 unit³ and their efficiencies be E₁ and E₂ respectively then we have E₁+E₂ = 36/4

                                                                   =9 units

Also  18/ E₁ +18/E₂ = 9

         putting E₁=9-E₂ we get

 18₁/ 9-E₂ +18/E₂ = 9

E²₂ -9E₂ +18        =0

(E₂ +3)  (E₂ -6)     =0

Therefore E₂ =6 units  as efficiency cannot be negative and consequently E₁ =3 units

Hence, if they are working alone they finish the work in 36/3 =12 hours and 36/6=6 hours respectively.

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Answer:

10-10+10=10 degrees

Answer:

Step-by-step explanation:

-3p² - p - 2 = 0

a = -3; b = -1 c = -2

[-b ±√(b² - 4ac)]/2a = [1 ± √(1-4*-3*-2) ] /2*-3

=[1 ± √(1-48) ]/-6

= - [1 ±√-47]/6

= - [1 ±√47i]/6

The elevation of the whale is -300 feet.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that the whale swims down 300 feet to feed. The elevation of the whale will be:-

Elevation = -300 feet

Therefore, the elevation of the whale is -300 feet.

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Answer:

The answer is D

192 pi = pi (5) squared h

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

It points out to find the height and it already gives you the volume and radius so all you have to do is plug in those to #'s.

So the "V" is always going to go first then the equal sign the the pi sign then a number followed by squared.

Right after that you should have an "H" which is the height you have to use to multiply.

 Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

Hope I helped! :)

Answer:

Expression for percent of survey participants who chose fishing =

Explanation:

 Total number of boys = 60

 Number of boys who took part in survey = 18 + 29 =47

 Number of boys who chose fishing = 29.

 Percentage of an outcome = (Number of favorable outcome/ Total number of outcome) x 100

 Percentage of boys who chose fishing = (29/47)x100

 Expression for percent of survey participants who chose fishing =

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Step-by-step explanation:

Answer:

x+10=24

Step-by-step explanation:

the actual equation would give you 14

To represent the situation, you can use the equation x = 24 - 10 or the proportion x/24 = 10/24.

To represent the situation, we can use the equation: x = 24 - 10, where x represents the amount of water Mai drank. This equation represents the fact that the initial amount of water in the bottle (24 ounces) minus the amount of water that Mai drank (x ounces) equals the remaining amount of water (10 ounces).

Alternatively, we can also use the proportion x/24 = 10/24 to represent the situation. This proportion shows that the ratio of the amount of water Mai drank to the initial amount of water in the bottle is equal to the ratio of the remaining amount of water to the initial amount of water.

Answer:

See below.

Step-by-step explanation:

m < 1 = 180 - 125 = 55 degrees (adjacent angles),

m <  2 = 180 - 56 = 124 degrees (adjacent angles).

m < 3 = 124 - 55 = 69 degrees ( external angle of a triangle theorem).

Answer:

Step-by-step explanation:

last list

Answer:

it's the one at the bottom

Answer:

a) replacing it

if you dont replace the marble there will be 1 less marble than before it will effect the possiblity

Answer:(3x+5) (3x-5)

Step-by-step explanation: a2-b2 =(a+b) (a-b)  where a= 3x and b=5

Answer:

12.7

Step-by-step explanation:

its right

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can use the exponential decay formula to solve the problem.

The formula for exponential decay is:

[tex]A = A_0e^{-kt}[/tex]

where:

A₀ = initial amount

A = amount remaining after time t

k = decay rate constant

t = time

We can find the decay rate constant k using the given percentage decay per minute.

If the element decays by 27.5% per minute, then the decay rate constant is:

k = ln(1 - 0.275) = -0.3185

where ln is the natural logarithm.

Let's substitute the given values into the formula and solve for t:

[tex]2 = 120 e^{-0.3185t}[/tex]

Divide both sides by 120:

[tex]0.0167 = e^{-0.3185t}[/tex]

Take the natural logarithm of both sides:

ln(0.0167) = -0.3185t

t = ln(0.0167) / (-0.3185)

t ≈ 9.9 minutes (to the nearest tenth of a minute)

Therefore,

It will take approximately 9.9 minutes until there are 2 grams of the element remaining.

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Answer:

Equally likely

Step-by-step explanation:

Equally likely means that it’s a 50% percent chance on both sides meaning that equally likely Is the answer.

Answer:

likely

Step-by-step explanation:

Answer:

A = (x + 25)(x + 15) - 30

Step-by-step explanation:

This question is not complete without a figure; find the figure attached.

Marissa is painting a regular patio with dimensions as

Length = (x + 25) units

Width = (x + 15) units

Area of this rectangular patio = Length × Width

Area = (x + 25)(x + 15) unit²

She has to paint the patio except the bench that does not need to be painted.

Dimensions of the rectangular bench,

Length = 10 units

Width = 3 units

Area of the bench = 10×3 = 30 units²

Area of the patio to be painted = Area of patio - Area of bench

                                                A = (x + 25)(x + 15) - 30

Answer:

-4

Step-by-step explanation:

12x=15-3y

+3y

12x+3y=15

-12x

3y=-12x+15

/3

y=-4x+15

Gradient= -4 as in the equation y=mx+c

, m=the gradient therefore the gradient is -4

Answer:

-4

Step-by-step explanation:

12x=15-3y   +3y

12x+3y=15    -12x

3y=-12x+15    /3

y=-4x+15

Answer:

aaaaaaaaaaaaaaaaa

Step-by-step explanation:

i dont if i made it clear but the answer is A

Answer:

its A

Step-by-step explanation:

Hence, the correct answer is (C)[tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

a mathematical phrase that can contain ordinary numbers, variables, and operators.

Given the expression [tex]\frac{m^7.n^7}{mn^{-1}}[/tex]

on simplification, if can be found,

                                  =[tex]m^{7-1}.n^{3-(-1)}\\m^6.n^4[/tex]

which is the required answer.

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Answer:

24, not Perpendicular

Step-by-step explanation:

4×-6 + 9×7 + -3×5

-24 + 63 - 15

24

Perpendicular when inner product is 0

Answer:

part A=    x=1

part B=   -13=-11 and -7=-7 and -2=-2

Step-by-step explanation:

part A

5+x-12=x-7

-7+x=x-7

x=1

part B

5+(-4)-12=-4-7

-1-12=-4-7

-13=-4-7

-13=-11

5+x-12=x-7

5+(-12)=-7

-7=-7

5+x-12=x-7

5+5-12=5-7

10-12=-2

-2=-2

Answer:

c.

Step-by-step explanation:

2x² - 4x - 3 = 0

[tex]x= \frac{-b+/-\sqrt{b^{2}-4ac} }{2a} \\\\x= \frac{-(-4)+/-\sqrt{(-4)^{2}-4*2*(-3)} }{2*2} \\\\x= \frac{4+/-\sqrt{16+24} }{4} \\\\x= \frac{4+/-\sqrt{40} }{4} = \frac{4+/-2\sqrt{10} }{4}=\frac{2+/-\sqrt{10} }{2}[/tex]

Answer:

Mark sold 268 adult tickets.

Step-by-step explanation:

We are given the following in the question.

Let x be the number of students ticket sold and y be the number of adult tickets sold.

Total number of tickets sold = 445

Thus, we can write the equation:

[tex]x + y = 445[/tex]

Cost of student ticket = $3

Cost of an adult ticket = $5

Total income = $1871

Thus, we can write the equation:

[tex]3x + 5y = 1871[/tex]

Solving the two equations, we get,

[tex]3x + 5y - (3x+3y) = 1871 - 3(445) \\2y = 536\\\Rightarrow y = 268\\\Rightarrow x = 445 - 268 = 177[/tex]

Thus, Mark sold 268 adult tickets.

Answer:he sold 268 adult tickets at the school play

Step-by-step explanation:

What is 8% of 24.52=   1.9616  

just round up

Answer:

What is 8% of 24.52=   1.9616  

Step-by-step explanation:

round it

Answer:

19 ft

Step-by-step explanation:

We are given that

[tex]\theta=70^{\circ}[/tex]

Height of bird from the ground=h=18 ft

We have to find the distance between the bird and its prey.

We know that

[tex]sin\theta=\frac{perpendicular\;side}{hypotenuse}[/tex]

Using the formula

[tex]sin70=\frac{18}{hypotenuse}[/tex]

[tex]hypotenuse=\frac{18}{sin70}=19.1 ft\approx 19ft[/tex]

Hence, the distance between the bird and its prey=19 ft

Answer:

[tex]12\frac{1}{426}[/tex]

Step-by-step explanation:

please check the attached files for more explanation

A divisor is a number that divides another number either completely or with a remainder and the divisor  [tex]5113[/tex] is divided by [tex]426[/tex] is [tex]12[/tex].

What is divisor ?

The divisor is any number that divides another number. A factor, however, is a divisor that divides the number entirely and leaves no remainder. So, all factors of a number are its divisors. But not all divisors will be factors.

To know more about divisors.

The solution using the "Long Divison Method'

Now, start the divisor [tex]426[/tex] on the left side and the dividend [tex]5113[/tex] on the right side :

      12

[tex]\sqrt[426]{5113} \\426\\----\\853\\852\\----\\1[/tex]

Hence, the result of the divisor  [tex]5113[/tex] divided by [tex]426[/tex] is [tex]12[/tex].

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Answer:

10 centimeters

Step-by-step explanation:

Kindly refer to the attached image for explanations