What is the range of the function?

A. (3)
B. {3, 9, 12)
C. (-2, 2, 3, 4, 9, 12)
O D. {-2, 2, 3, 4

Answer:

180 meters

Step-by-step explanation:

The function you have here is negative function meaning the function has a concave down parabola (if you graph it on desmos or a graphing calculator you'll see what I'm talking about).

So they gave it to you in factored form and asked you to find the max. The max of this function is at the vertex of the parabola. In order to find the vertex you have distribute or multiply to get the original polynomial.

-5(x-8)(x+4)

-5(x^2+4x-8x-32)

-5(x^2-4x-32)

-5x^2-20x-160

Vertex formula is: -b/2a

b = 20

a = -5

[tex]\frac{-20}{2(-5)}[/tex]

= 2

The x-coordinate of the vertex is 2.

Plug 2 into the equation

-5(2)^2+20(2)+160

= 180 meters

Answer:

(x-1/3) is one of the factors

Step-by-step explanation:

Using the reverse of the zero product property

(x-a) = 0  where a is one of the roots

x-1/3 = 0

(x-1/3) is one of the factors

Answer:

x-1/3) is the answer

Step-by-step explanation:

zero product property

Answer:

factor

Step-by-step explanation:

Answer:

If they lie in the same plane

Answer:

  1/2 = 2^-1 = 1/2

Step-by-step explanation:

The picture shows you that you find the number at 11:00 a.m. by dividing 1 by 2. That division is represented as ...

  [tex]1\div2=\boxed{\dfrac{1}{2}}=\boxed{2^{-1}}=\boxed{1/2}[/tex]

__

Additional comment

It is somewhat difficult to tell exactly what "expanded form" is required for the fraction. We have taken a clue from the form used for positive exponents where the multiplication by 2 is shown. So, for negative exponents, we have shown the division by 2.

The 10 a.m. form might then be 1/4 = 2^-2 = 1/2/2.

Answer:Its A

Step-by-step explanation:

Its A because its right believe me

equivalent to One-fourth x is One-half x + one-half x; equation 7 is correct

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same. The given equation is equivalent to the expression one half and one half x.

Given information;

The expression given in the problem is,

(1/4) x [tex]x[/tex]

Equivalent expression;

Equivalent expression is the expression of two equation when the way of representation of the two equation is different but the result is same.

For given expression,

1/4 x [tex]x[/tex]

As the above function is the function of x. Thus it can be written as,

f(x)= 1/4 x [tex]x[/tex]

The number four is the product of number 2 and number 2. Thus,

f(x)=(1/2x2) x [tex]x[/tex]

f(x)=(1/2 x 1/2) x [tex]x[/tex]

Hence the given equation is equivalent to the expression one half and one half x.

Learn more about the equivalent expression here;

brainly.com/question/10628562

#SPJ6

Answer:

n

Step-by-step explanation:

Answer:

[tex]\fbox{\begin{minipage}{11em}N is closer to P than M\end{minipage}}[/tex]

Step-by-step explanation:

Step 1: Define the way to calculate distance between 2 points in two-dimensional (2D) plane

Supposing that there are two points [tex](x_{1}, y_{1})[/tex] and [tex](x_{2}, y_{2})[/tex] on 2D plane.

The distance [tex]d[/tex] between these two points is calculated by:

[tex]d = \sqrt{(x_{1} - x_{2}) ^{2} + (y_{1} - y_{2})^{2} }[/tex]

Step 2: Calculate the distance [tex]d_{1}[/tex] between [tex]M(3, 6)[/tex] & [tex]P(-2, -1)[/tex] and distance [tex]d_{2}[/tex] between [tex]N(6, -4)[/tex] and [tex]P(-2, -1)[/tex]

Applying the formula in step 1:

[tex]d_{1} = \sqrt{(3+ 2) ^{2} + (6 + 1)^{2} } = \sqrt{25 + 49} = \sqrt{74}[/tex]

[tex]d_{2} = \sqrt{(6+ 2) ^{2} + (-4 + 1)^{2} } = \sqrt{64 + 9} = \sqrt{73}[/tex]

Step 3: Compare and conclude

Because [tex]\sqrt{73} < \sqrt{74}[/tex]  =>  [tex]d_{2} < d_{1}[/tex] => N is closer to P than M

Hope this helps!

:)

Answer:

[tex]6x^{7} +15x^{5}[/tex]

Step-by-step explanation:

[tex]3x^{5}[/tex]([tex]2x^{2} +4+1[/tex])

Multiply [tex]3x^{5}[/tex] by each term in the parentheses.

[tex]6x^{7}[/tex] + [tex]12x^{5} +3x^{5}[/tex]

Now, all you have to do is simplify.

[tex]6x^{7} +15x^{5}[/tex]

Answer:

graph 1 is the function.

Answer:

67.6

Step-by-step explanation:

Since 67.56 is 6 and above so, it is rounded to 6 so, it is 67.6.

In the Pythagorean theorem, a squared minim b squared equals c squared. If you apply that formule to question 2.

17^2-8^2 = 289 - 64 = 225 = 15^2.

Therefore, the answer to first question is yes

Then, for question 2, you do the same thing.

41^2 - 40^2 = 51

Here, 51 is not a square number. Most importantly it is not the square of9,

So this triangle is not right angled

Answer:

10

Step-by-step explanation:

By the Pythagorean Theorem:

[tex]c=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

We can find out by using synthetic division and the fact that x - 9 Might be a 0. If x = 9 is a 0 of that polynomial, then we will get no remainder when we divide the polynomial by 9:

9 |   1     -5     7

____________

First thing to do is bring down the 1 and multiply it by the 9 and put that product up under the -5:

9 |  1     -5     7

______9____

     1

Now add down the column to get:

9 |  1   -5    7

_____9____

     1    4

Now multiply 4 by 9 and put that product up under the 7:

9 |   1    -5     7

______9__36

      1     4

Now add to see what the remainder is:

9 |   1     -5     7

_______9_36

      1      4    R43

we have a remainder of 43. Since it is not a 0, then the polynomial is not evenly divisible by x - 9.

So the answer is No.

Answer:

x=5

Step-by-step explanation:

The 2 angles are inside of a right angle (the little square in the corner denotes a right angle). This means they are complementary angles, and add to 90 degrees.

8x+50=90

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

50 is being added to 8x. The opposite of addition is subtraction. Subtract 50 from both sides.

8x+50-50=90-50

8x=90-50

8x=40

x is being multiplied by 8. The opposite of multiplication is division. Divide both sides by 8.

8x/8=40/8

x=5

x is equal to 5.

= 3x^2 + 5x^2 = 8x^2

5x - 13x = -8x

-8 + -5 = -13

=> 8x^2 - 8x - 13

: B

Answer:

8x2 − 8x − 13

Step-by-step explanation:

 (((3•(x2))+5x)-8)+((5x2-13x)-5)

((3x2 +  5x) -  8) +  (5x2 - 13x - 5)

 Factoring  8x2-8x-13

The first term is,  8x2  its coefficient is  8 .

The middle term is,  -8x  its coefficient is  -8 .

The last term, "the constant", is  -13

Step-1 : Multiply the coefficient of the first term by the constant   8 • -13 = -104

Step-2 : Find two factors of  -104  whose sum equals the coefficient of the middle term, which is   -8 .

     -104    +    1    =    -103

     -52    +    2    =    -50

     -26    +    4    =    -22

     -13    +    8    =    -5

     -8    +    13    =    5

     -4    +    26    =    22

     -2    +    52    =    50

     -1    +    104    =    103

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 8x2 - 8x - 13 ✅

Answer:

9

Step-by-step explanation:

There are nine angles in a nonagon.

Answer: Altitude

Step-by-step explanation:

Answer:

210.

Step-by-step explanation:

The first 4 primes are 2,3,5 and 7.

If we multiply them we get 2*3*5*7 = 210.

So 210 + 1 = 211 is one integer which gives 1 as a remainder.

The next one would be  2*210 + 1 = 421.

The difference is 210.

Answer:

1498.17

Step-by-step explanation:

formula A = P[tex](1 + \frac{r}{100} )^{n}[/tex] where r is the rate of interest compounded and n is the number of times compounded.

r = 4.5 / 12 = 0.375 since it is compounded monthly thus need to divide by 12 months

n = 9 x 12 = 108 ( 9 years in months)

A = 1000[tex](1 + \frac{0.375}{100})^{108}[/tex] = 1498.167

Answer:

Step-by-step explanation:

A = I(1+r/n)^nt

A = ?

I = $1000

r = 4.5% = 4.5/100 = 0.045

n = 12

t = 9

A = 1000(1+0.045/12)^108

A = 1000(1.00375)^108

A = $1498.17

Answer:

D

Step-by-step explanation:

By the Pythagorean theorem:

[tex]18^2+24^2=x^2[/tex]

Therefore, answer choice D is correct. Hope this helps!

Answer:

It will take 4 seconds. She will have to run 32 meters

Step-by-step explanation:

The formula to calculate the distance in terms of speed and time is:

distance = speed x time

Let x represent the distance Bridget run. Since Tylor starts 4 meters ahead, the distance for the Tylor is x-4. The time is same for both of them, let us represent it with t.

The distance by Bridget: x = 8t → t = x/8

The distance by Tylor: x - 4 = 7t → t = (x-4)/7

→ x/8 = (x-4)/7

→ 7x = 8(x-4)

→ 7x = 8x - 32

→ x = 32

Since x = 32 and t = x/8

→ t = 32/8 = 4

If it gets stuck in my head, then i listened to the song.

Answer:

- 1 4/5

Step-by-step explanation:

-1 1/5 + - 3/5

Since the signs are the same, we add and take the sign

1 1/5 + 3/5

1 4/5

The sign is negative

- 1 4/5

On the number line start at - 1 1/5 and go to the left 3/5( since the sign is negative)  you will end up at - 1 4/5

Answer:

it would be C i took the test

Step-by-step explanation:

Answer:

The answer would be C because i just took the test and got it right hope this helps.

Step-by-step explanation:

Answer:

4x + 15

Step-by-step explanation:

A = 14x + 5[6 - (2x + 3)]

  = 14x + 5[6 - 2x - 3]

  = 14x + 30 - 10x - 15

  = (14x - 10x ) + (30 - 15)

  = 4x + 15

Hope this helps!

Answer:

35°

Step-by-step explanation:

ABC is a equilateral triangle and that means all of its

interior angles have the same measure and = 60°

since angle ACB is 60° the complementary of it would be 120° this is alsıo the measure of angle ACD

The measure of angle CAD is given as 25°

The measure of sum of interior angles in a triangle is equal to 180°

So the missing angle ADC is 35°

Answer:  d) DF ≅ JH

Step-by-step explanation:

Side-Side-Side Congruency Theorem states that triangles are congruent if and only if their corresponding side lengths are congruent.

Given: EF ≅HI

Given: DE ≅IJ

Missing: DF ≅ JH

6 × 7 = 42 because       area = length × width    

Answer:

Perpendicular: [tex]y = \frac{5}{8}x+4[/tex]

Parallel: [tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]

Step-by-step explanation:

I'm going to rewrite the equation:

[tex]y=-\frac{8}{5} x+\frac{4}{5}[/tex]

Perpendicular means that the slope is the opposite reciprocal.

Slope = [tex]\frac{5}{8}[/tex]

[tex]y = \frac{5}{8}x+4[/tex]

Parallel means that the slope is the same but the y - intercept is different:

[tex]y=-\frac{8}{5} x+RandomNumberNot4[/tex]