Question 7(Multiple Choice Worth 1 points)
(07.05 MC)

graph of a cubic polynomial that falls to the left and rises to the right with x intercepts negative 3, negative 1, and 3

Which of the following functions best represents the graph?

f(x) = (x + 3)(x − 3)(x − 9)
f(x) = (x + 3)(x − 3)(x + 9)
f(x) = (x + 3)(x − 3)(x − 1)
f(x) = (x + 3)(x − 3)(x + 1)

Answer:

it should be C I did something very very similar to this but different questions

Answer:

 a) {-6, 2}

 b) -12

 c) minimum: -16

Step-by-step explanation:

I find a graphing calculator to be a big help. Its graph is attached.

a) The function can be factored as:

 f(x) = (x -2)(x +6)

The factors are zero at the x-intercepts: x = 2, x = -6.

b) The y-intercept is the function value when x=0. That is the constant in the function. The y-intercept is -12.

c) The leading coefficient of the function is positive, so its graph opens upward. The extreme value is a minimum. It is found on the axis of symmetry, at the x-value that is halfway between the x-intercepts: x = (2-6)/2 = -2. The function value there is ...

f(-2) = (-2-2)(-2+6) = -4(4) = -16

The minimum is f(-2) = -16.

Answer:

2(a+b)

Step-by-step explanation:

Answer:

The positive solution is 1/2

Step-by-step explanation:

(4x+3)(6x-3) = 0

We can use the zero product property to find the zeros

4x+3 =0   6x-3 =0

4x =-3          6x = 3

x = -3/4           x = 3/6

x = -3/4             x = 1/2

The positive solution is 1/2

Answer:

-1 - 4 i

Step-by-step explanation:

5 - (2 * i) - (2 * (3 + i)) =

-1 - 4 i

Answer:

Length: 18 inches

Width: 6 inches

Step-by-step explanation:

l+w=24

l=3w    w=1w

3w+w=24

       w=6

Length: 3*6=18 inches

Width: 6 inches

Find Q

Not safe

Apply Pythagorean theorem

PR²=4²+15²=16+225=241

Answer:

a) not safe

b) 15.5 ft (nearest tenth)

Step-by-step explanation:

Tan trig ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

Given:

Substituting the given values into the formula and solving for x:

[tex]\implies \sf \tan(x)=\dfrac{4}{15}[/tex]

[tex]\implies \sf x=\tan^{-1}\left(\dfrac{4}{15}\right)[/tex]

[tex]\implies \sf x=14.9^{\circ}\:(nearest\:tenth)[/tex]

As 14.9° is not between 18° and 27°, the roof is not safe.

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Pythagoras’ Theorem

[tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

Substituting the given values into the formula and solving for PR:

[tex]\implies \sf 15^2+4^2=PR^2[/tex]

[tex]\implies \sf 225+16=PR^2[/tex]

[tex]\implies \sf PR^2=241[/tex]

[tex]\implies \sf PR=\sqrt{241}[/tex]

[tex]\implies \sf PR=15.5\:ft\:(nearest\:tenth)[/tex]

Answer:

P(A) = 13/18

P(B) = 7/18

Step-by-step explanation:

A) Sum greater than 5

If the sum needs to be >5, then it can be 6, 7, 8, 9, 10, 11, and 12.

There are 26 out of 36 events where the sum is >5, thus P(A) = 26/36 = 13/18.

B) Sum divisible by 4 or 6

The sum ranges from 2 to 12, there are two methods to calculate this:

B1) Method 1: Calculate the frequency one by one

The sums divisible by 4 or 6 are S = {4, 6, 8, 12}. There are 9 of them, n(S) = 14. Thus P(B) = 14/36 = 7/18.

B2) Method 2: Use the rule of not mutually exclusive events

Not mutually exclusive events (might also be called mutually inclusive) happens when two events can happen together at the same time. In this problem, the sum might be divisible by 4 and 6 at the same time, i.e. the number 12.

The common formula for not mutually exclusive events is P(A∪B) = P(A) + P(B) - P(A∩B). Nb: P(A) isn't talking about the previous problem, nor does P(B) talk about the second section as a whole; the terms P(A) and P(B) will be utilized next, explained with their uses.

P(A) = probability of the sum being divisible by 4, i.e. the number 4, 8 and 12

P(A) = (3+5+1) / 36 = 9/36 = 1/4

P(B) = probability of the sum being divisible by 6, i.e. the number 6 and 12

P(B) = (5+1) / 36 = 6/36 = 1/6

P(A∩B) = probability of the sum being divisible both by 4 and 6, i.e. the number 12

P(A) = 1 / 36 = 1/36

Here comes the use of formula P(A∪B) = P(A) + P(B) - P(A∩B)

P(A∪B) = 1/4 + 1/6 - 1/36 = 7/18

Nb: As you can see, both method B1 and B2 give the same answer. Method B1 is usually easier to use when facing simpler problems like this. I'd recommend using method B2 for more complex and difficult questions, such as when you can't visualize the problem with a table because there are too much sets of variables.

Image of table for reference: https://qph.fs.quoracdn.net/main-qimg-1283a98bd649f522986e2f91a592ffd3

Answer:

Step-by-step explanation:

x = -5 and x = -12 are the solutions.

Looks like Keith's solution is the correct one  as he got as far as

x + 5 = 0 and x + 12 = 0.

Answer:

hope this will help you (✿^‿^)

Step-by-step explanation:

by Pythagorean theorem

h²=p²+b²

12²=9²+b²

b²=12²-9²

b=√63

b=7.9372

The equation of the line passing through these two points (1, 2) and (3, 8) will be y  = 3x – 1. Then the correct option is C.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The points are (1, 2) and (3, 8).

Then the equation of the line passing through these two points (1, 2) and (3, 8) will be

[tex]\rm (y - 2) = \dfrac{ 8- 2}{3-1} (x - 1)[/tex]

On simplifying the equation, we have

y - 2 = 3(x – 1)

y - 2 = 3x – 3

   y  = 3x – 1

More about the linear system link is given below.

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Answer:

Step-by-step explanation:

Discussion

Think of what it would be like in your own household. If your mom has been away and the food is starting to spoil, you can't be picky. If you are not picky, you will get by until someone goes shopping.

That's the way its going to work in the ecosystem. I would pick B and hope that it the bad times won't last too long.

Answer:

A

Step-by-step explanation:

If you line up all the numbers/variables you just have to copy down all of them except for 7x and 12x, you just add those and you get 19x so the answer is A.

Answer:

7 things an investor should consider when picking stocks:

Trends in earnings growth.

Company strength relative to its peers.

Debt-to-equity ratio in line with industry norms.

Price-earnings ratio as an indicator of valuation.

How the company treats dividends.Effectiveness of executive leadership.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

A 90% confidence interval is centered at a parameter and is 90% sure to contain the statistic.

When you are running a statistical test, you can create a confidence interval centered at the appropriate parameter (such as the mean) to see if the statistic stated in your null hypothesis is true if it's contained in the interval. Whatever the confidence level is determines how wide the interval will be, and as such, will determine how likely the interval will catch the statistic in question.

Answer:

last option, x = -1

Step-by-step explanation:

[tex]x^{2} + 2x + 1 = 0\\x_{1} = \frac{-2 + \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{2} = \frac{-2 - \sqrt{2^{2} - 4(1)(1) } }{2(1)}\\x_{1} = \frac{-2 + \sqrt{0} }{2}\\x_{2} = \frac{-2 - \sqrt{0} }{2}\\x = \frac{-2}{2} \\x = -1[/tex]

The value of x by using the Quadratic Formula is,

⇒ x = - 1

An algebraic equation with the second degree of the variable is called an Quadratic equation.

Given that;

Equation is,

⇒ x² + 2x + 1

Now, We can use the Quadratic Formula for x as;

⇒ x² + 2x + 1

⇒ x = - 2 ± √2² - 4×1×1 / 2

⇒ x = - 2 ± √4 - 4 / 2

⇒ x = - 2 / 2

⇒ x = - 1

Thus, The value of x by using the Quadratic Formula is,

⇒ x = - 1

Learn more about the quadratic equation visit:

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Answer:

3x +18+4x+15=180

7x+33=180

7x=180-33

7x=147

7x÷7=147÷7

x=21

Answer:

[tex]\boxed{\bf x = {21}^{o} }[/tex]

Step-by-step explanation:

We know that the sum of angles of a linear pair is always equal to 180°, they are also known as supplementary angles.

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Answer:

Step-by-step explanation:

1) Opposite angles in a parallelogram are congruent, so angle B measures 82 degrees.

2) Opposite sides of a parallelogram are congruent, so 12=6x. Hence, x=2.

3) Opposite sides of a parallelogram are congruent, so by the alternate interior angles theorem, the answer is 62 degrees.

Answer:

see explanation

Step-by-step explanation:

the opposite angles of a parallelogram are congruent , then

∠ B = ∠ D = 82°

the opposite sides of a parallelogram are parallel and congruent , then

AD = BC , that is

6x = 12 ( divide both sides by 6 )

x = 2

∠ BCA and ∠ DAC are alternate angles and are congruent , then

∠ BCA = ∠ DAC = 62°

Answer:

"quotient" indicates division

999 ÷ c = ?

Answer:

Is 4

4

Step-by-step explanation:

Answer:

See below ~

Step-by-step explanation:

Power in repeated multiplication form is : 4 x 4 x 4 x 4

Value of the power : 16 x 16 = 256

The equation of line A and line B will be y =4 and x = 8, respectively.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

We know the equation of the line parallel to the x-axis.

y = c

The equation of line A will be

y = 4

We know the equation of the line parallel to the y-axis.

x = c

The equation of line B will be

x = 8

More about the linear system link is given below.

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Expression 3200(1.06)^t represents the enrollment of a high school t years after 2000 will increase by 6%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The given expression is as follows:-

=  3200 ( 1.06 ) [tex],^t[/tex]

Here when the time has increased the percentage is also increased by 6%.

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Answer:

Step-by-step explanation:

The problem is concerned with angles 4 and 5, which lie between the lines given as parallel. They are on opposite sides of the line cutting across those parallel lines (the transversal), so they are ...

__

Being congruent angles, their measures are ...

_____

Additional comment

For questions like this, there are many descriptions that are true. It would be helpful to know the possible answer choices.

Answer:

Heyyyy!!

The answer is 66.9

please read the explanation... it will help... I promise

Step-by-step explanation:

Okay... Here we go...

The context mentions that the two quadrilaterals are similar... meaning their sides are proportional...

So... you basically have to find the scale factor...

(the math itself is easier than the explanation...

51/16 = 3.1875 (that is the number we multiplied the sides of quadrilateral FGHI to get quadrilateral JKLM...

so to get side JK all you have to do is multiply that scale factor by side FG... which after the use of a calculator results in 66.9 (i rounded, and used a calculator... lol)

but yeah... i hope this helps...

Answer:

The mean is greater than median

Step-by-step explanation:

Option D

Answer: Correct me if I am wrong, but this is how I think you should solve it.

Step-by-step explanation:

1. Simplify 8×5 to 40.

−2×(40+9)−6×7

2. Simplify 40+9 to 49.

−2×49−6×7

3. Simplify −2×49 to −98.

−98−6×7

4. Simplify 6×7 to 42.

−98−42

5. Simplify

−140

Your all done! Hope this helps.

Answer:

answer is a

Step-by-step explanation:

u just look at 6 and 6.60 thats 1 and 10 every eraser but for 3 its 1.30