Determine whether f(x) = 5x^2-20x+ 3 has a maximum or a minimum value and find that value.
PLEASE HELP I’ll mark brainliest

Answer:

[tex]\boxed{\sf D)\:-24a^3b^7}[/tex]

Step-by-step explanation:

[tex]\sf (3a^2b^4)(-8ab^3)[/tex]

We'll use rule of exponents to simplify expression.

[tex]\sf 3^1a^2b^4(-8)^1a^1b^3[/tex]

Now, use the commutative property of multiplication.

[tex]\sf 3^1(-8)^1a^2a^2b^4b^4[/tex]

In order to multiply power of the same base, we add their exponents.

[tex]\sf 3^2(-8)^1a^{2+1}b^{4+3}[/tex]

→ Add exponents:

[tex]\sf 3^1(-8)^1a^3b^7[/tex]

→ Multiply 3* -8

[tex]\sf -24a^3b^7[/tex]

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Answer:

Step-by-step explanation:

For what mileages will company A (which has a flat rate of $111) be less than the cost for company B

Company A < Company B

              111 < 75 + 0.80m

solving

       111 - 75 < 75 - 75 + 0.80m

              36 < 0.80m

     36/0.80 < 0.80m/0.80

as we are dividing by a positive number, we don't have to change the direction of the < sign.

              45 < m

      or     m > 45

so if Ali intends to drive more than 45 miles, Company A's vehicle will be less expensive to rent

Using fractions, it is found that of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

The students who went camping are divided according to the following fractions:

The sum of all these fractions is 100% = 1, hence:

[tex]\frac{1}{7} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]

[tex]\frac{12 + 28 + 21 + 84x}{84} = 1[/tex]

[tex]84x + 61 = 84[/tex]

[tex]84x = 23[/tex]

[tex]x = \frac{23}{84}[/tex]

Of the students that went camping, [tex]\mathbf{\frac{23}{84}}[/tex] were at Lake Camp.

A similar problem is given at https://brainly.com/question/24372153

Answer:

i guess it's will be C

Step-by-step explanation:

Answer:

8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces

Answer:

18/100 or 9/50

Step-by-step explanation:

First, put 0.18 over 100 because there are 2 digits in the decimal, so you convert it to 18/100. Then, simplify it, and because the GCF is 2, divide the numerator and denominator. The final fraction ins 9/50.

Answer:

-1/2 + i/10 sqrt(55)  , -1/2 - i/10 sqrt(55)

Step-by-step explanation:

5x^2+5x+4=0

a=5  b= 5  c=4

Using the quadratic formula

-b ± sqrt( b^2 -4ac)

---------------------------------

  2a

-5 ± sqrt( 5^2 - 4(5)(4))

----------------------------------

2(5)

-5±sqrt( 25 - 80)

----------------------------

10

-5± sqrt(-55)

--------------------------

10

-5/10  ± 1/10  i sqrt(55)

-1/2 + i/10 sqrt(55)  and -1/2 - i/10 sqrt(55)

Answer:

x= -5 ± i√55 / 10

Step-by-step explanation:

hope i helped

Answer:

f(x) = x2 – 12x + 20

Step-by-step explanation:

if it has those zeros, then it is (x-10)(x-2)

if you multiply that out, you get x^2 - 12x +20

The volume of the storage room is the amount of space in the storage room, and it is 720 cubic feet

The dimensions are given as:

[tex]Width = 6ft[/tex]

[tex]Depth = 10ft[/tex]

[tex]Height = 12ft[/tex]

The volume of the storage room is the product of the dimensions.

So, we have:

[tex]Volume= Width \times Depth \times Height[/tex]

Substitute values for Width, Depth and Height

[tex]Volume= 6ft \times 10ft \times 12ft[/tex]

Multiply the dimensions

[tex]Volume= 720ft^3[/tex]

Hence, the volume of the storage room is 720 cubic feet

Read more about volumes at:

https://brainly.in/question/2593668

Answer:

5) 3/5

8) 2/-4 or -2/4

Step-by-step explanation:

5, based on your work, is 3/5 because we use rise (3) and run (5)

And 8, based on your work, is 2/-4 or -2/4 because you go up 2, and go to the left 4.

Answer:

1.) Smith

2.) Johnson

Answer:

Step-by-step explanation:

Answer:

The answer is y= 100 +15x

Step-by-step explanation:

You start with a service fee of $100

$15 per hour

x because the amount of hours can vary

y which is the total cost

y= 100+ 15x

Answer:

495-75=m m=420

Step-by-step explanation:

He needs to save 495 dollars, and hes already saved 75

and needs to find out how much more he needs to save to have 495 dollars

To do this, take 495 and subtract 75. This is how we get the inequality

495-75=m

From here it is simple, just subtract 75 from 495 to get 420

Answer:

A. y<-3

Step-by-step explanation:

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

The point-slope equation of a line is given as:

[tex]y-y_1=m(x-x_1)[/tex]

where m represents the slope, and is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through the points (-32, - 10) and (-74, 11)

[tex]x_1=-32, y_1=-10, x_2=-74, y_2=11[/tex]

Substitute these points into the slope formula to get the slope of the line

[tex]m=\frac{11-(-10)}{-74-(-32)} \\\\m=\frac{11+10}{-74+32} \\\\m=\frac{21}{-42} \\\\m=\frac{-1}{2}[/tex]

Substitute [tex]m=\frac{-1}{2}, x_1=-32, y_1=-10[/tex] into the line equation

[tex]y-(-10)=\frac{-1}{2}(x-(-32))\\\\y+10=\frac{-1}{2}x-16\\\\y= \frac{-1}{2}x-16-10\\\\y=\frac{-1}{2}x-26[/tex]

The equation of the line is:

[tex]y=\frac{-1}{2}x-26[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

Answer:

slope = change over y/change over x

point 1: (-3,-4)

point 2: (2,3)

(-4-3)/(-3-2)=(-7)/(-5)=7/5

y=mx+b -> m=slope, b=y-intercept

y=(7/5)x+b

plug in one of the points

3=(7/5)*2+b

3=14/5+b

b=1/5

slope = 7/5, y-intercept = (0,1/5)

the side length of NS is 7.81 units.

Answer:

Below

Step-by-step explanation:

1.-d

2.-a

3.-e

4.-b

5.-c

Answer:

-8.3ithink   so

Step-by-step explanation:

Answer:

Step-by-step explanation:

An example of one fraction that does NOT terminate is 2/3.

2/3 = 0.666666666666666 ....  That's the easy way to tackle the problem. Pick out the ones that don't terminate.

5/7 is the other one. It does not terminate either. It has 6 digits in a block that keeps on repeating itself forever.

5/7 = .571428 571428 which goes on forever.

So the two that do terminate are

3/2 which = 1.5

3/4 which = 0.75

Answer:

I don't know the question

Step-by-step explanation:

I would love to help tho

Answer:

you never put the question up for us to answer it

Step-by-step explanation:

Answer:

32.5

Step-by-step explanation:

Answer:

1.4062, 1.509, 1.56, 1.6

Step-by-step explanation:

1509/1000, 14062/10000, 16/10, 156/100

15090, 14062, 16000, 15600

1.4062, 1.509, 1.56, 1.6

[tex]\tan \theta = \dfrac{\text{Opposite side}}{\text{Adjacent side}} = \dfrac{16}{12}[/tex]

Answer:

764x

Step-by-step explanation:

4^4=256

8^3=512

2^2=4

256-4+512=764

764x

Answer:

2x^2(2x^2+4x-1)

Step-by-step explanation:

The GCF is 2x^2 so pull apart each number and you will get your answer.

Answer:

You are correct it is indeed mortgage!

Step-by-step explanation:

This is because a fixed expense is something that cannot be changed easily. Like a mortgage, car payments, rent payments, or insurance.

Hope this helps, I tried to just briefly explain! :)

Answer:

yeah your teeth is good and strong too

Answer:

f(-18) = -5

Step-by-step explanation:

Substitute−18forxiny=

1/3 x+1:

y= 1/3x+1

y= 1/3(−18)+1

y=−5(Simplify both sides of the equation)

Answer:

hi the answer to your question should be 50 miles

Step-by-step explanation:

hope this helps have a great day!