rewrite the function in an equivalent form the would reveal the vertex of the function f(x)=x^2+8x+6

The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Answer:

x∈(-∞; 0).

Step-by-step explanation:

1) the given function is a parabola with its vertex in (0;0). Then

2) the increasing interval is (0:+∝), decreasing interval is (-∝;0).

Answer:

Card 5: 49.98 Card 6: 153.86 sq. ft

Step-by-step explanation:

Card 5: Find the circumference, 28(3.14)=87.92. Then divide by 4 cause the circle is spilt in fourths. 87.92/4=21.98. Then add 28 for the sides. 21.98+28=49.98

Card 6: Find the area, 14^2(3.14)= 615.44. Then divide by 4 since the circle is cut into fourths. 615.44/4=153.86.

The value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

The solution of an equation is the value of the variable of the equation, for which the equation is satisfied.

The equation given in the problem is,

[tex]-9x +1 = -x +17\\[/tex]

To solve this equation, take the terms of variable x left side of the equation and constant term other side,

[tex]-9x +x = 17-1\\-8x=16[/tex]

Divide both side of the equation with number 8 as,

[tex]\dfrac{-8x}{8}=\dfrac{16}{8}\\-x=2\\x=-2[/tex]

Hence, the value of the variable x for the provided equation  –9x 1 = –x 17 when it is solved, is -2. Option 2 is correct.

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Answer: The Answer Is; B) x = –2

Step-by-step explanation: Correct Answer On Edge2020.

(And the correct way to write the equation is; –9x + 1 = –x + 17 , other wise others wouldn't know if it was " +'s " OR " -'s " ..)

Answer:

B is your answer: Angle pair "MTS" should be 107 and "STN" should be 73

Step-by-step explanation:

You need to do 180-73 because "s" is unknown.

That should be 107 degrees.

Angle pair "MTS" should be 107 and "STN" should be 73

This is due to alternate interior angles, same side angles, and congruency properties.

option 3

center (-1,-5)

radious √41

hope this helped!

The equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

A quadratic equation is the equation in which the unknown variable is one and the highest power of the unknown variable is two.

The standard form of the quadratic equation is,

[tex]ax^2+bx+c=0[/tex]

Here,(a,b, c) is the real numbers and (x) is the variable.In this equation, a is the coefficient of the highest term and c is the constant term.

The equations which has the leading coefficient of 3 and a constant term of –2 has to be find out.

The first equation given in the problem is,

[tex]0 = 3x^2 +2x - 2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is -2. Thus, this option is correct.

The second equation given in the problem is,

[tex]0 = -2 - 3x^2 +3[/tex]

Rearrange the equation as,

[tex]0 = -2 - 3x^2 +3\\0=-3x^2+1[/tex]

In this equation, the coefficient of the term which has the highest power is -3 and the constant term is 1. Thus, this option is not correct.

The third equation given in the problem is,

[tex]0 = 3x^2 +x +2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the constant term is 2. Thus, this option is not correct.

The fourth equation given in the problem is,

[tex]0 = -1x - 2 +3x^2[/tex]

Rearrange the equation as,

[tex]0=3x^2-1x-2[/tex]

In this equation, the coefficient of the term which has the highest power is 3 and the continuant term is -2. Thus, this option is correct.

Hence, the equations which have a leading coefficient of 3 and a constant term of –2 are 0 = 3x² +2x - 2 and 0=3x²-1x-2.

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Answer:

8 x 8 x 8 = 512

Step-by-step explanation:

Hope this helps! Have a great day :)

Answer:

512

Step-by-step explanation:

LxWxH

8x8x8=512

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.

P(E) = Number of favorable outcomes / total number of outcomes

Mariah is randomly choosing three books to read from the following: 5 mysteries, 7 biographies, and 8 science fiction novels.

The complement of an event is the remaining possibilities.

Our event is Mariah choosing 3 mysteries.

The other possibilities include that she chooses at least one book that is not a mystery; this means the complement is not choosing all mysteries.

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Answer:

Options:

A- There are 20C3 possible ways to choose three books to read.

B- There are 5C3 possible ways to choose three mysteries to read.

E- The probability that Mariah will not choose all mysteries can be expressed as 1 − StartFraction 5 C 3 Over 20 C 3 EndFraction.

Step-by-step explanation:

The inequality in both inequality expressions is the less than or equal to sign

Inequality 1

The inequality is given as:

[tex]-1 \le \frac x2[/tex]

Multiply both sides by 2

[tex]-2 \le x[/tex]

Rewrite as:

[tex]x \ge - 2[/tex]

The above means that the correct values of x are at least -2.

See attachment for the complete table is as follows:

Inequality 2

The inequality is given as:

[tex]1 \le \frac {-x}2[/tex]

Multiply both sides by 2

[tex]2 \le -x[/tex]

Rewrite as:

[tex]-x \ge 2[/tex]

Multiply both sides by -1

[tex]x \le -2[/tex]

The above means that the correct values of x are at most -2.

See attachment for the complete table is as follows:

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Answer:

hola poop

Step-by-step explanation:

Starting time:-

Now

Ending time:-

Total active time:-

Or

Answer:

2 hours 8 minutes

Step-by-step explanation:

Let the total amount of time of Annabeth's being on the computer be x hours

since she paused using computer for a snack break for 30 minuted, our x turns out to be

[tex]x+0:30[/tex]

Thus our equation would like

solving the equation yields:

[tex]1:09+x+0:30=3:47\\\implies 1:39+x=3:47\\\implies x=3:47-1:39\implies \boxed{x=2:08}\rm hours [/tex]

hence,

Annabeth was on her computer for 2 hours 8 minutes

Note:

Answer:

$135.84

Step-by-step explanation:

Your starting checkbook balance is $134.56.

Deposits increase your balance.  Add your deposit  to the balance:  $134.56+$345.12 = $479.68

Now add up  all the checks:  

$32.19+$250.00+$16.65+$45.00 = $343.84

Checks are money taken out of your account, so you subtract them from your balance

$479.68 - $343.84 = $135.84

Answer:

16% or 16.9492% I'm going to be honest I'm not 100% sure though

The equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3

The equation of a line in slope intercept form is expressed as:

y = mx + c

m is the slope

c is the intercept

Given the equation of a line y = x + 2, the slope of the line perpendicular is -1/2. If this line pass through the point (2, -2), the required equation will be

y - (-2) = -1/2(x+2)
2(y+2) = -(x+2)
2y + 4 = -x - 2

2y = -x - 6
y = -1/2 - 3

Hence the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = x + 2 is y = -1/2 - 3

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Answer:

6 and 7

Step-by-step explanation:

Answer: a) 6 and 7

Step-by-step explanation:

The square root of 48 is 6.928… so it’s between those two numbers

Answer:

What is 1.75 as a fraction?

Converting Decimals to Fractions

Numbers can sometimes be easier to work with in fraction form or decimal form, depending on what you are using them for. Fortunately, there are easy steps you can use to convert, or change, fractions into decimals or decimals into fractions.

Answer and Explanation:

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To convert 1.75 into a fraction, let's first look at the .75 part of the decimal. .75 means '75 hundredths.' That means the corresponding fraction...

Step-by-step explanation:

Answer:

The radius is 3 and it is the same all around

Step-by-step explanation:

Since The hypotenuse equals the two other sides squared, let's find out what those are.

[tex]\sqrt{9} + \sqrt{9} = \sqrt{18}[/tex]

Now, let's find the square root of those 9s.

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

Those other sides we talked about (more specifically the base of the triangle) are the radius of the circle because of how they extend to the exterior of the circle, which means since their length is 3, the radius is also 3.

The radius is always constant so it is supposed to be the same all around.

Answer:

a club has 2 dollar down payment and 4 $ per week how much money is owed after 2 weeks

Step-by-step explanation:

The Answer is 28

Step-by-step explanation:

The best measure of centre is the mean , don't take median as we need average of marks here.

Mean of Lamar

Mean of Mimi

Mimi has been better

The questions are illustrations of inequalities

The inequality is given as:

x² - 18x < -77

Add 77 to both sides

x² - 18x + 77 < 0

Expand the inequality

x² - 7x - 11x + 77 < 0

Factorize the inequality

x(x - 7) - 11(x - 7) < 0

Factor out x - 7

(x- 7)(x - 11) < 0

Solve for x

x < 7 or x < 11

This means that the solution to the inequality is 7 < x < 11

The inequality expression is given as:

y ≤ x² + 2

See attachment for the graph of the inequality

The function is given as:

f(x) = |x| + 5

The smallest value of |x| is 0.

So, we have:

f(x) > 0 + 5

Evaluate

f(x) > 5

Hence, the range of the function is (c) R: {f(x) ∈ ℝ | f(x) > 5}

The inequality expression is given as:

|2x + 3| < 7

Remove the absolute expression

2x + 3 < 7 or 2x + 3 < -7

Subtract 3 from both sides

2x < 4 or 2x < -10

Divide both sides by 2

x < 2 or x < -5

Hence, the solution to the inequality is x < –5 or x > 2

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I hope this helped! :)

The family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

Suppose that there are two positive integer numbers( numbers like 1,2,3,.. ) as a and b

Then, their multiplication can be interpreted as:

[tex]a \times b = a + a + ... + a \: \text{(b times)}\\\\a \times b = b + b +... + b \: \text{(a times)}[/tex]

For example,

[tex]5 \times 2 = 10 = 2 + 2 + 2 + 2 + 2 \: \text{(Added 2 five times)}\\or\\5 \times 2 = 10 = 5 + 5 \: \text{(Added 5 two times)}[/tex]

For this case, the missing table for expenses of both families is:

Reed Family                                                   Appliances                

Gas range                                                  5 cents per day            

Gas dryer                                                   1 load per day-10 cents per load

Electric water heater                                90 cents per day

Typical later model refrigerator               16 cents per day

Total cost per day                                      5+10+90+16= 166 cents = $1.21

Merrill Family                                                Appliances

Electric range                                            13 cents per day

Gas dryer -                                                 1 load per day 10 cents per load

Gas water heater                                      40 cents per day

Energy Star-labeled refrigerator              12 cents per day

Total cost per day                                    13+10+40+12 = 75 cents = $0.75

Since each of them used these appliances for 30 days, so we get:

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 1.21 = \$36.3[/tex]

Expense in 30 days = [tex]30 \times[/tex] expense per day

Expense in 30 days = [tex]30 \times 0.75 = \$22.5[/tex]

So, Reed family spent more.

The difference is $36.3 - $22.5 = $13.80

Thus, the family who spends more to run these appliances in a given 30 day period is given by: Option A: The reed family spends $13.80 more than the merrill family.

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The area of a circular pond with a radius of 8 ft is, 18.67 m².

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

We have to given that;

The radius of circle = 8 feet

Now, We know that;

⇒ 1 feet = 0.3048 m

⇒ 8 feet = 8 × 0.3048 m

             = 2.4384 m

We know that;

⇒ Area of circle = πr²

Substitute all the values, we get;

⇒ Area of circle = 3.14 × (2.4384)²

⇒ Area of circle = 3.14 × 5.94

⇒ Area of circle = 18.67 m²

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Answer:

PX = 10

Step-by-step explanation:

PR = 20

PX = PR/2 (diagonals of parallelogram bisect eachother)

or, PX = 20/2

so, PX = 10

Answer:

(- 3, 0 ) , (0, 0 ) , (4, 0 )

Step-by-step explanation:

the zeros are the points on the x- axis where the graph crosses , so

zeros are (- 3, 0 ) , (0, 0 ) , (4, 0 )