What is the solution for x^2+ 4x > 77?
x<-7 or x > 11
x<-11 or x > 7
-7 -11

One Answer: Choice C) 0 < x < 1

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

Explanation:

Let's go through the answer choices one at a time.

The correct option is C

A function whose value decreases as the independent variable increases over a given range is called a decreasing function.

Considering the options :

A) it represents an increasing interval since the graph goes uphill as we move from left to right. The line through the points (-2, f(-2)) and (-1.5, f(-1.5)) has a positive slope. We can rule out choice A.

B) It is a similar story to choice A. The graph goes uphill when we move from x = -1 to x = 0, so the graph is increasing on the interval -1 < x < 0. We can rule out choice B.

In contrast, C is a decreasing interval. Going from x = 0 to x = 1 has us move downhill. Choice C is the only answer.

Hence, the correct option is 0 < x < 1

Learn more about decreasing function, click;

https://brainly.com/question/14330051

#SPJ5

The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

For more such question on function. visit :

https://brainly.com/question/11624077

#SPJ8

Answer:

The smaller angle is 11.25 degrees. Larger angle=7A=7(11.25)=78.75 degrees The larger angle is 78.75 degrees.

Step-by-step explanation:

Answer:

22.5° and 157.5°

Step-by-step explanation:

Supplementary angles total 180°.

Therefore, ∠1 plus ∠2 equals 180°.

If ∠1 = x, then ∠2 = 7x, since its measure is "7 times the measure of its supplementary angle."

Solving for x:

\(\angle{1}+\angle{2}=180^{\circ}\\x+7x=180^{\circ}\\8x=180^{\circ}\\x=22.5^{\circ}\)

Therefore, ∠1 = 22.5° and ∠2 = 7(22.5°) = 157.5°.

To verify, we check that both angles total 180°:

22.5° + 157.5° = 180°

Check.

Answer:

Sum: not present

Term: 4(2x + 3), 5y

Product: 4 and (2x + 3), 4 and 2x, 4 and 3, 5 and y

Factor: 4, 2x, 3, 5, y

Quotient: (4(2x + 3)) ÷ 5y

Coefficient: 4, 5

Step-by-step explanation:

Answer:

52-32

Step-by-step explanation:

Answer:

65*

Step-by-step explanation:

12x-7+16x+19=180

28x=168

x=6

12(6)-7=65

Answer:

To divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

For more examples and explanatTo divide fractions, you need to follow these steps:

Flip the second fraction (the one you want to divide by) upside down (this is called taking the reciprocal).

Multiply the first fraction by the reciprocal of the second fraction.

Simplify the resulting fraction if possible.

Here is an example:

1/3 ÷ 2/5

Step 1: Flip the second fraction: 2/5 becomes 5/2.

Step 2: Multiply the first fraction by the reciprocal of the second fraction: 1/3 x 5/2 = 5/6.

Step 3: Simplify the resulting fraction if possible: 5/6 is already in its simplest form.

Step-by-step explanation:

brainliest pls

Answer:

Step-by-step explanation:

For dividing fractions:

Remember:

Keep Change Flip

Keep the first the same

Change the sign to multiplication

Flip the second fraction.

EX.

\(\frac{4}{5}\) ÷ \(\frac{1}{2}\)                           >Keep, Change Flip

=\(\frac{4}{5}\) * \(\frac{2}{1}\)                          >Now it's multiplication, reduce first if you can

                                    (nothing reduces in this problem), so mulitply

                                    across

= \(\frac{8}{5}\)

Answer:

he works 7 dollars an hour so 16 x 7 = 112 that's for a whole week a year would be 356 x 7 = 2,555 that's 1 whole year

Step-by-step explanation:

sorry if i got this wrong

Hello,

By definition, the following function meets the requirements

\(f(x)=(x-1)(x+12)=x^2+11x-12\)

Thanks

A quadratic function f whose zeros are 1 and -12 is x²+11x-12.

The zeros of a function are defined as the values of the variable of the function such that the function equals 0. Graphically, the zeros of a function are the points on the x-axis where the graph cuts the x-axis. In other words, we can say that the zeros of a function are the x-intercepts of its graph. The number of zeros of a polynomial function is equal to the degree of the polynomial.

Given that, zeros of a quadratic function are 1 and -12.

Here, x=1 and x=-12

(x-1) and (x+12)

So, the function is (x-1)(x+12)

= x(x+12)-1(x+12)

= x²+12x-x-12

= x²+11x-12

Therefore, a quadratic function f whose zeros are 1 and -12 is x²+11x-12.

To learn more about the zeros of a function visit:

https://brainly.com/question/18038662.

#SPJ2

The actual annual value of this job to Karla is 33000.

What are arithmetic operations?

Arithmetic operations is a branch of mathematics that studies numbers and the operations on numbers that are useful in all other branches of mathematics. It consists primarily of operations like addition, subtraction, multiplication, and division.

We have,

the job will pay 2400 per month,

if the full cost of the medical insurance is 450 a month and Karla plans to contribute the full 1500 every year tpa retirement plan,

the actual annual value of this job to Karla is:

2400 per month

annual value  = 2400 * 12 = 28,800

the medical insurance is 450 a month

half the cost of medical insurance is  225 a month

annual value  = 225  * 12 = 2700

the full 1500 every year tpa retirement plan,

So, the total value is:

= 28,800 + 2700 + 1500

= 33000

Hence,  the actual annual value of this job to Karla is 33000.

To learn more about arithmetic operations visit,

brainly.com/question/4721701

#SPJ1

Answer:

Step-by-step explanation:

A right triangle has a right angle in it. The base and height are then the sides that make the right angle. You can change the 2.5 to a fraction 5/2 or leave it a decimal and just use your calculator. Once the base and height are drawn, you don't have to calculate the hypotenuse (the longest side) just connect the third side. See image. Also, def do this on graph paper it's easier. The new triangle should be bigger than the original this time bc 2.5 is bigger than 1 and so it makes your shape bigger.

Answer:

In the United States, most competitive swimming pools are 25 yards long. This is the most standard length competition pool, and the one most commonly mistaken for an Olympic sized pool (by those who were not competitive swimmers).Most US high schools, public recreation centers, universities and YMCA's have 25-yard pools. Swimmers refer to this type of pool as "short course", or "short course yards". On paper, the acronym is SCY.

Step-by-step explanation:

PLWS MARK ME BRAINLIEST

Answer:2.99 on edge

Step-by-step explanation: i got the question wrong just for the answer hope this helps

Answer:

2.99 on edge

Step-by-step explanation:

Answer:

x = 18

Step-by-step explanation:

Alternate exterior angles are congruent.  Set the equations equal to each other and solve for x.

7x + 11 = 10x - 43  Subtract 7 x from both sides

7x - 7x + 11 = 10x - 7x - 43

11 = 3x - 43  Add 3 to both sides

11 + 43 = 3x -43 + 43

54 = 3x  Divide both sides by 3

\(\frac{54}{3}\) = \(\frac{3x}{3}\)

18 = x

Helping in the name of Jesus.

Answer:

gcf is 20 lcm is 40

Step-by-step explanation:

The eligible amount of work-related daycare expenses will be $2600

Married filing jointly is a filing status for married couples, allowing them to file joint tax returns. When filing taxes under married filing jointly status, a married couple can record their respective incomes, deductions, credits, and exemptions on the same tax return.

Given here wages of the cliff are $16,228 and if the deb is  $2,600

now the mfj is 35% hence cliffs credit is 35% ×  $16,228 = $5679.8

and daycare yearly expenses are = $250×12

                                                        = $3000

but deb's income is $2600 and thus credit cannot exceed deb's wages therefore the revised credit would be $2600

Hence, the eligible amount of work-related daycare expenses will be  $2600

Learn more about income and expenses:

https://brainly.com/question/14185533

#SPJ1

Answer:

Step-by-step explanation:

0

Answer:

0.4%*44000=1760 acres

Step-by-step explanation:

Answer:

why?

Step-by-step explanation:

Answer:

..is cereal a soup?

Step-by-step explanation:

is it tho?

The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.

The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.

Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.

In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.

for such more question on average

https://brainly.com/question/23377525

#SPJ11

Answer: b

step-by-step explanation:

the shower is 18 I think that is right

Answer: 18

Step-by-step explanation: The first thing you need to do before you attempt to solve the problem is to identify what type of triangle this is. The triangle in the problem is a right triangle (I know this because of the little square in the bottom left-hand corner). All right triangles have an angle of 90 degrees. Which means, to find the value of x, we can do 90-72. Which equals 18 degrees.

Which means: x=18  

Answer:

b.

Step-by-step explanation:

Answer:

HELP YOUR MOM AND YOURSELF

Step-by-step explanation:

uwu uwu uwu uwu uwu uwu uwu uwu uwu uwu

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers because they cannot be expressed as fractions.

The assertion is true. Both 7√5 and √2 + 21 are irrational numbers.

An irrational number is defined as a number that cannot be expressed as a fraction of two integers and has an infinite non-repeating decimal representation.

In the case of 7√5, the square root of 5 is an irrational number because it cannot be expressed as a fraction. Multiplying it by 7 does not change its irrational nature.

Similarly, √2 is also an irrational number because the square root of 2 cannot be expressed as a fraction. Adding 21 to √2 does not alter its irrationality.

The reason provided, that every integer is a rational number, is not relevant to the given assertion. While it is true that every integer is a rational number because it can be expressed as a fraction (e.g., 3 can be written as 3/1), it does not contradict the fact that 7√5 and √2 + 21 are irrational numbers.

In conclusion, the assertion is valid, and both 7√5 and √2 + 21 are irrational numbers.

For more questions on fractions

https://brainly.com/question/78672

#SPJ8

Answer:

  19 mL

Step-by-step explanation:

You want the volume of a rock with density 45 g/mL and mass of 855 g.

The units of density are mass per volume, so we can find the volume by dividing the mass by the density. The units basically tell you how to work the problem.

  \(\dfrac{855\text{ g}}{45\text{ g/mL}}=\dfrac{855}{45}\,\dfrac{\text{g$\cdot$mL}}{\text{g}}=\boxed{19\text{ mL}}\)

__

Additional comment

Sometimes we like the volumes of things that aren't liquid to be expressed in cubic units. 1 mL = 1 cm³, so the volume could be described as 19 cm³.

It will calculate the margin of error (EBM) for the 90% confidence interval for the population mean of monthly salaries of college graduates under the age of 30.

To calculate the margin of error (EBM) for a 90% confidence interval using the sample mean and standard deviation, you can use the following Excel formula:

=CONFIDENCE.NORM(alpha, stdev, size)

Where:

"alpha" is the significance level, which is equal to 1 - confidence level. In this case, the confidence level is 90%, so the alpha value is 1 - 0.90 = 0.10.

"stdev" is the standard deviation of the sample.

"size" is the sample size.

In this scenario, the formula would be:

=CONFIDENCE.NORM(0.10, 677, 20)

After entering the formula in Excel, it will calculate the margin of error (EBM) for the 90% confidence interval for the population mean of monthly salaries of college graduates under the age of 30.

for such more question on confidence interval

https://brainly.com/question/17034620

#SPJ8

We have that   the probability of Janice rolling a 2 or 5 on her 7th toss of the dice is

\(\frac{1}{3}^7.\)

From the question we are told that

Janice rolled either a 2 or a 5 on the last 6 rolls of the die

Janice rolling a 2 or 5 on her 7th toss of the dice

\(P(2/ 5)=1/6+1/6\\\\P(2/ 5)=2/6\\\\P(2/ 5)=1/3.\)

Where

\(P(2/5 ) =(1/3)^6.\)

Janice roll the standard die 7th time the probability of getting 2 or 5 is

\(P(2/5 ) =\frac{1}{3}^7.\)

For more information on this visit

https://brainly.com/question/11234923?referrer=searchResults