Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.

Answer: Choice A) 5x^3 - x - 3

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Work Shown:

We subtract the two functions like so

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 5x^3-2 ) - ( x+1 )

(f - g)(x) = 5x^3 - 2 - x - 1

(f - g)(x) = 5x^3 - x - 3 ..... choice A

Note: be sure to remember to distribute the negative to every term inside (x+1), and not just to the x only.

Answer:

[tex]\Huge\boxed{D}[/tex]

Step-by-step explanation:

Hello There!

A is not true because overall 22% had trucks of the 100 people while only 9% overall had a van. So more people overall had trucks then vans meaning that vans has the lowest percentage of type of vehicle driven therefore we can eliminate answer choice A

B is also incorrect because from ages 41-50, a total of 14 people drive a van or sedan. Also from ages 41-50, a total of 14 people drive a SUV or truck. Because the total of people that drive each of the grouped vehicles is the same neither of the percentages would be lower or higher therefore we eliminate answer choice B

C is also incorrect because the same amount of people in the age group 31-40 drive trucks as the amount of people in the age group 41-50. Because the same amount of people from the different age groups drive trucks the percentage would be neither higher nor lower therefore C is incorrect

D is the correct answer choice because the total amount of people that drive trucks from the age range 21-30 is the same as the amount of people that drive a truck from other age groups. Or to be more specific the sum of the people who drive a truck from ages 31-40, 41-50 and over 50 is 11 (3+4+4=11) This meaning that the same percentage of people in the age range from 21-30 that drive a truck is the same as the percentage of people that drive a truck from the sum of the other age ranges. Hence the correct answer choice is D

Answer:

y=-3/2x+2

Step-by-step explanation:

You can find the equation using y=mx+b, where m is the slope and b is the y-intercept. You can see the slope of this line is -3/2, and the y-intercept is 2. If you plug that into the equation, you get y=-3/2x+2

Answer:

7

Step-by-step explanation:

18.33 - 8.6 = 9.73

Answer:

7

Step-by-step explanation:

18.33-8.60=9.73

Answer:

the scale factor is 3 ......

If a number in parenthesis is directly next to a number without, then the two numbers need multiplied.

-12(5/6)(-2/15) is an example of a double multiplication. But we'll multiply -12 and 5/6 first, then multiply the product by -2/15.

-12x5/6=14 2/5

14 2/5x-2/15=-1 23/25

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hope it helps

sorry if it doesn't

Answer:x= 40

Step-by-step explanation:

x+80+60= 180 (angles on a straight line)

According to Natural logarithm Rules, ln(400) is same as   [tex]2( ln 4 + ln 5)[/tex].

Natural logarithm Rules :

so we can rewrite the expression :

ln(400) = ln([tex]4^{2} . 5^{2}[/tex])= ln [tex]4^{2} + ln 5^2[/tex]=   [tex]2( ln 4 + ln 5)[/tex]

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Answer:

Sorry about that I didn't read the question correctly but the answer is B.

Step-by-step explanation:

All you are doing is moving the points 4 units to the left and 3 units up. Hope this helped! :)

Answer:

Step-by-step explanation:

1302 + 1202 = 502

Answer:

1302 + 1202 = 502

Step-by-step explanation:

Cant really explain. 1302 + 1202 = 502

Step-by-step explanation:

the answer is D

Yes, the lines are parallel.

Parallel lines are coplanar straight lines that do not intersect at any point.

We have,

Line [tex]c[/tex] and [tex]d[/tex], and transversal [tex]e[/tex].

[tex]\angle 2 =\angle 3=\angle6=40^0[/tex],

And, [tex]\angle 1=140^0[/tex]

Now,

[tex]\angle 1=\angle4=140^0[/tex]     (Vertically Opposite Angles)

So,

When a transversal line cuts two lines and sum of angles on the same side of the line is [tex]180^0[/tex] .

i.e. [tex]\angle6+\angle4=180^0[/tex]

[tex]140^0+40^0=180^0[/tex]

[tex]180^0=180^0[/tex]

So, sum of [tex]\angle6\ and\ \angle4[/tex] is [tex]180^0[/tex], that means line are parallel.

Hence, we can say that Yes, the lines are parallel.

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Answer:

13>x≥3

Step-by-step explanation:

Answer:

36 fishes

Step-by-step explanation:

Step 1

Nanette goes fishing. Of the fish Nanette catches, 2/3 are catfish.

Let the total fraction of fish = 1

The fraction of fish that is not catfish is

1 - 2/3

= 1/3

Step 2

She catches 12 fish that are not catfish.

Let the total number of catfish = x

Hence,

1/3 × x = 12

Equation is given as:

x/3 = 12

Cross Multiply

x = 3 × 12

x = 36 fishes

The the total number of fish, x that Nanette catches is 36 fishes

Answer:

x = 10

Step-by-step explanation:

By looking at the picture, I can tell the angle of the 3x is also 30 degrees.

This means 3x = 30.

When you solve for x by dividing each side by 3, you result with the answer of x = 10.

To check you work, plug in 10 for x to recieve 30 degrees again.

Answer:

A=2(2x+1)(3x+4

Step-by-step explanation:

Answer:

It will take about 15-20 Minutes to catch up to that bus.

Step-by-step explanation:

65+ 20= 85 so its a tad bit over but it works.

Answer:

452.389

Step-by-step explanation:

Answer:

PS:Can I be brainliest

habe a nice day

Best regards

Step-by-step explanation:

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6 times what equals 84?

6 times what equals 84? In other words, what do you multiply by 6 to get 84? If "x" is "what" in the sentence, "6 times what equals 84?", then the equation to solve the problem is as follows:

6 • x = 84

Which can be written as:

6x = 84

To solve the equation above, we need to remove the 6 on the left side to make the x alone. To do that, we divide both sides by 6.

6x/6 = 84/6

6x/6 is x and 84/6 is 14 which means our equation will look like this:

x = 14

Thus, the answer to "6 times what equals 84?" is 14.

Answer:

14

Step-by-step explanation:

cause 84 divided by 6 is 14,then do 14 times 6 and its 84.

Answer:

20

Step-by-step explanation:

when you subtract 2 from 6 you get 4. so you multiply 4 into 2 which give the answer 8. when you subtract 2 from 8 you get 6 and then you multiply 6 to 2 which gives the answer 12... next you subtract 2 from 12 which gives the answer 10. so you multiply 10 to 2 Which gives the final answer for you which is 20.

Mr. Mann asked his class to form a number pattern using the rules:

Use the number 6 as the first term.

To find the other term, subtract 2 from the previous term, then multiply by 2.

The first two numbers in the pattern are 6 and 8.

What is the fourth number in the pattern?

Answer:

d

Step-by-step explanation: bc i said

The possible error of measurement is half of the smallest unit on the tape measure, which is half an inch, option B is correct.

Two or more expressions with an Equal sign is called as Equation.

The possible error of measurement refers to the smallest unit of measurement on the tape measure.

In this case, the tape measure is marked every half inch, so the smallest unit of measurement is 0.5 inches.

Therefore, the possible error of measurement is also 0.5 inches.

This means that any measurement taken using this tape measure may be off by up to 0.5 inches due to the limitations of the instrument used.

Hence, the possible error of measurement is half of the smallest unit on the tape measure, which is half an inch. Therefore, the answer is B. 0.5 in.

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Answer:

10(y-5)

Hope this helped!!

Answer:

when distributing the first equation 1/4(8y+24) it is actually 2y+6 because 1/4*24= 6 not 8

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Half of ten is five  so Kate’s has five purple stickers

Answer:

Answer choice One

Step-by-step explanation:

The first triangle is larger than the second, so the triangle became smaller after its transformation. This means the scale factor will be less than 1. We can already eliminate answer choice 3.

Set up a proportion for one of the sides.

[tex]\frac{6}{8}[/tex]

when simplified, it becomes [tex]\frac{3}{4}[/tex]

Let's check with the other side

[tex]\frac{9}{12} =\frac{3}{4}[/tex]

Answer choice One

Hope this helps :-)

[tex]-noorati[/tex]