BC = 62 +4,
AC = 52, and
AB = 4x + 8,

The quadratic function f(x) = 4x² + 16x + 8 can be expressed in vertex form

Max's error is in step 3

The function is given as:

[tex]f(x) = 4x^2 + 16x + 8[/tex]

Factor out 4

[tex]f(x) = 4(x^2 + 4x) + 8[/tex]

Take the coefficient of x

[tex]k = 4[/tex]

Divide by 2

[tex]k/2 = 2[/tex]

Square both sides

[tex](k/2)^2 = 4[/tex]

Add and subtract 4 to the bracket

[tex]f(x) = 4(x^2 + 4x + 4 - 4) + 8[/tex]

Expand

[tex]f(x) = 4(x^2 + 4x + 4) + 8 - 16[/tex]

By comparing the above equation to step 3 of Max solution, we can determine that Max's error is in step 3

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Answer:

9 hours

Step-by-step explanation:

We can do this 2 ways but I think you will want this the easiest way :)

So we can divide:

49.50/5.50

9

Or we can multiply and keep multiplying 5.50 by different numbers until we get 49.50 or over (this way will take longer)

5.50 x 1

5.50 x 2

and so on and so fourth

With the first way we figued out she will need to babysit for 9 hours :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Basic Concept:

Since there are no boys between 2 girls, we will take the 3 girls as 1 single unit and permute the seats

We have 6 slots (5 for boys and 1 for all 3 girls)

We have 6 slots and 6 people to sit on them (taking the 3 girls as one)

Permutations:

So, the total number of seating arrangements is 6P6

which will be equal to 6 factorial (6P6 = [tex]\frac{n!}{n! - r!}[/tex] = [tex]\frac{6!}{6! - 6!}[/tex] = 6! (since 0! = 1))

Total possible seating arrangements  = 6!

Total possible seating arrangements = 720

Answer:

Yes below

Step-by-step explanation:

y=mx+b

y=12m+64.50

Answer:

y=4(n−2)2−1

Good Luck!

Answer:

-3

Step-by-step explanation:

IM TO LAZY TO EXPLAIN BUT ITS RIGHT

Answer:

-5,2

Step-by-step explanation:

make one side equal zero, x2 + 3x - 10

use guess and check to reverse foil and find (x+5)(x-2)

solve and get x = -5 , 2

Answer (it has two solutions):

I hope this helps!

Answer:

500 students

Step-by-step explanation:

40% = 200 students

divide both by 4 to 10%

10% = 50

multiply both by 10 to get 100%

100% = 500

or the quicker way,

200 x 2 = 400 (80%) + 100 (20%) = 500 (100%)

Answer:

x intercept= -1, y intercept= -1, slope= -1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

mr clean

Answer:

One with a remainder of five.

Step-by-step explanation:

Eight goes into thirteen one time with five remaining

Answer:  $9.49 hope this helps

Step-by-step explanation:

Using proportions, it is found that there are 200 rooms in hotel X.

A proportion is a fraction of a total amount.

The X Hotel has an occupancy rate of 97% during busy season(30% of the year) and 62% during the rest of the year(70%), hence the mean occupancy rate is of:

R = 0.3 x 97% + 0.62 x 70% = 72.5%.

The total profit for the Pinkerton Hotel was $4,468,000, hence considering that it makes $80 per room per night, in a 365-day year:

80N x 0.725 x 365 = 4,468,000

N = 4,468,000/(80 x 0.725 x 365)

N = 211.

Which is closest to 200, hence, there are 200 rooms in hotel X.

More can be learned about proportions at https://brainly.com/question/24372153

If Diego started the race at 11:38 am and finished in 90 minutes, then the time he will finish the race is 12:58 pm, the correct option is D.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

Diego ran a race in 80 minutes, the race started at 11:38 a.m.

The time Diego ran a race in is 80 minutes.

The time he started at 11:38 am

Let he finish the race at x hours.

The equation can be written as,

x = 11:38 + 80 minutes

60 min = 1 hour

80 minutes = 1 hour 20 minutes

x = 11: 38 + 1 :20

x = 12: 58 pm

The time he will finish the race is 12:58 pm.

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Answer:

8.7 out of the 290 would have AB blood type, you could round it to 9

Answer:

2.666666667 is the answer

Step-by-step explanation:

8/3 is the answer............

Answer:

- 200

Step-by-step explanation:

377 is lesser than 577.

Here,

577 is the Greater number.

377 is the Smaller number.

When Smaller number is subtracted from Greater number, the result will be ( - ).

So,

377 - 577 = - 200

Answer:

Step-by-step explanation:

it's tight

See picture for math work and answer.

Answer:

1 | 2

2|4

7|14

9|18

Reasoning:

4=4x+4

4=4(1)+4

4=4+4

4=8

4 can be multiplied 2 times to = 8 so the number shown on the table must be 2 times the amount or just say 1/2

I hope this helps!

( Please mark me brainliest )

Answer:

50/100(50%) x 340 = $170

If there is a 50% markdown, you would need to take 50%(1/2) away from the original price.

Answer:

$170

Step-by-step explanation:

Given the following question:

50% of 340

To find the answer we must first find 50% of 340 by using the formula to calculate percentages, and then subtract that answer from the original price to have our markdown.

[tex]\frac{p\times n}{100}[/tex]

[tex]\frac{50\times340}{100}[/tex]
[tex]50\times340=17000[/tex]
[tex]17000\div100=170[/tex]
[tex]=170[/tex]

Now subtract from original price:
[tex]340[/tex]
[tex]340-170=170[/tex]
[tex]=170[/tex]

The new price after a 50% markdown is "$170."

Hope this helps.

Answer:

458 miles

Step-by-step explanation:

Build a right triangle as shown in the attached image,  Then solve using the Pythagorean theorem.

458 miles

Answer:

$1322.67

Step-by-step explanation:

Let the total amount that Sarah deposited be $x

using the annuity formula:

A=P[((1+r)^n-1)/r]

A=future value

r=rate

n=number of years

from the information given:

A=$500000

r=2.75%

n=65-42=23 years

p=$x

thus plugging our values in the formula we get:

500000=x[((1+0.0275)^(23)-1)/(0.0275)]

500000=31.50x

x=15,872.04883

She deposited 15,873.04883 per year

The monthly deposit will therefore be:

15873.04883/12=$1322.67

Answer:

$1322.67

Step-by-step explanation:

Answer:

390 cm^2

Step-by-step explanation:

Let's call the dimensions of the original square  x  by  x.  Its area is x^2.

After the table is altered, its dimensions are x + 9  by  x - 9, and you're given the area is 309 cm^2.

[tex](x+9)(x-9)=309\\\\x^2-81=309\\\\x^2=390[/tex]

This last equation is telling us the area of the original, square table.

Lets first put all the known information into the point-slope form:  

   [tex]y-y_{0} =m(x-x_{0} )[/tex]

   [tex](y+5)=\frac{1}{2}(x+4) \\y + 4 = \frac{1}{2} x+2\\[/tex]

To put it into slope-intercept form, we must solve for y:

  [tex]y = \frac{1}{2} x -2[/tex]

Hope that helps!

Answer:

f/m=a

Step-by-step explanation:

f/m=m/m*a

f/m=a

Answer:

46.2 degrees

Step-by-step explanation:

Use arcsin function (make sure calculator is in degree mode) and perform

[tex]sin^{-1} (\frac{13}{18} )\\=Angle[/tex]

=46.2 degrees

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

We have the equation:

[tex]34\cdot 3^{x-2}-2\cdot 3^{x-3}=0.8\cdot 10^{x-2}+10^{x-3}[/tex]

Let's simplify this a bit. Let [tex]u=x-2[/tex]. Then [tex]u-1=x-3[/tex]. We can substitute the exponents:

[tex]34\cdot3^u-2\cdot 3^{u-1}=0.8\cdot 10^u+10^{u-1}[/tex]

Use the properties of exponents, we can write [tex]3^{u-1}=\frac{3^u}{3}[/tex]. We can do the same thing on the right. So:

[tex]34\cdot3^u-2\cdot \frac{3^u}{3}=0.8\cdot 10^u+\frac{10^u}{10}[/tex]

We can now factor out a [tex]3^u[/tex] from the left and a [tex]10^u[/tex] on the right. This yields:

[tex]3^u(34-2\cdot\frac{1}{3})=10^u(0.8+ \frac{1}{10})[/tex]

Evaluate the expressions within the parentheses:

[tex]3^u(34-\frac{2}{3})=10^u(\frac{9}{10})[/tex]

Evaluate:

[tex]3^u(\frac{100}{3})=10^u(\frac{9}{10})[/tex]

Now, let's multiply both sides by [tex]\frac{3}{100}[/tex]. So:

[tex]3^u=10^u(\frac{9}{10})(\frac{3}{100})[/tex]

Also, let's divide both sides by [tex]10^u[/tex]. Multiply on the right:

[tex]\frac{3^u}{10^u}=\frac{27}{1000}[/tex]

Therefore:

[tex]3^u=27\text{ and } 10^u=1000[/tex]

We can now substitute back u. Notice that 27 is the same as 3 cubed and 1000 is the same as 10 cubed. So:

[tex]3^{x-2}=3^3\text{ and } 10^{x-2}=10^3[/tex]

Since they have the same base, their exponents must be equal. Therefore:

[tex]x-2=3[/tex]

Add 2 to both sides:

[tex]x=5[/tex]

So, the value of x is 5.

And we're done!

Answer:

The answers are b and c

Step-by-step explanation:

East Side is more consistent at winning.

East Side typically wins more debates per year than West Side.

Answer: 256 ft²

Step-by-step explanation:

The perimeter is calculated by:

P = 2l + 2w

so we know:

48 = 2(16) + 2w

48 - 32 = 2w

w = 16 feet

So the area is 16 x 16 = 256 ft²

Answer:

yes because it would take about 6 hours and 55 minutes.

Step-by-step explanation:

26.2 × 4=6.55

Answer 6.55 or 6 hours and 55 minutes

The speed of Your friend will be 6.55 miles per hour.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

A marathon is approximately 26.2 miles. Your friend says that if you continue to run at this speed, you will not be able to complete a marathon in less than 4 hours.

The speed of Your friend will be

S = 26.2 / 4

S = 6.55 miles per hour

The speed of Your friend will be 6.55 miles per hour.

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