Twice the difference of a number and 2 equals 5

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:

15x-15y=-1 that's is the answer

Answer:

3

Step-by-step explanation:

We need to isolate the b.

1. Subtract 1.9 from both sides of the equation.

8.7 = 2.9b

2. Divide 2.9 from both sides of the equation.

3 = b

b = 3

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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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!!

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Answer:

So, how the racing track is shaped, the inner line are faster because of the smaller inside of the oval, so basically the outside lane takes longer to run than the inside lane.

Let me know if you need more explaining, the picture might help.

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:

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:

After sales tax is applied, the camera will cost $816.12! The sales tax will be $55.17.

Answer:

2.666666667 is the answer

Step-by-step explanation:

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

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:

Right

Step-by-step explanation:

Answer:

Right-angle

Step-by-step explanation:

When a triangle has one angle = 90 degree it is called an right angle triangle

Answer:

the ones that r closer to the zero ___0___-0.5___-1 are greater

-0.5 > -1

Step-by-step explanation:

3.7

2.6

0.8

-1.9

yo im smart now

Answer:

3.7

2.6

-0.8

-1.9

Step-by-step explanation:

you will wonder how -0.8 is greater then -1.9

it is because there is the use of negative sign (- )

and in negative sign larger digits are smaller due to use of negative sign

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Answer:D is wrong, Its C: 12.2 ft

Step-by-step explanation:

Answer:

Step-by-step explanation:

13). K( - 5 , - 2 ) ----> ( - 5 - 6 , - 2 - 2 ) = K'( - 11 , - 4 )

14). Rule of the reflection in the y-axis is ( x , y ) -----> ( - x , y )

L( 1 , - 3 ) -----> L'( - 1 , - 3 )

15). Rule of the 90° Counterclockwise rotation is ( x , y ) -----> ( - y , x )

Z( - 7 , 2 ) ----> Z'( - 2 , - 7 )

16). Rule of the dilation by the scale "k" is ( x , y ) ----> ( kx , ky )

F( - 4 , 6 ) ----> ( - 4*1.5 , 6*1.5 ) = F'( - 6 , 9 )

17). Rule of the reflection in the x-axis and the dilation by the scale "k" is

( x , y ) -----> ( kx , - ky )

X( - 3 , 9 ) -----> ( - 3*(1/3) , - 9*(1/3) ) = X'( - 1 , - 3 )

Answer:

can be sold for a total of $100

Step-by-step explanation:

We can do this, 8+12=20

20x5=100

So, we have to do...

20x5=100$

That means, that there can be 5 Tickets of Adults sold and 5 Tickets of children sold in total for 100 dollars.

Thanks!

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Answer:  $9.49 hope this helps

Step-by-step explanation:

Answer:

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

Answer:

25.83 m²

Use the eq A=hb/2

Answer:15.96m^2

Step-by-step explanation:

Answer:

if one base is 9.5 cm and the other is 13.5 cm. The height is 5 cm.

the answer is 57.5

Step-by-step explanation:

Area= base1+base2/2*h

Area= 9.5 + 13.5 / 2 * 5

Area= 23/2 *5
Area = 11.5 *5

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:n=0.3168

Step-by-step explanation:

Answer:

n = .3168

Step-by-step explanation:

Multiply .44 by .72.

You can use a calculator to do this or do it by hand.

If you choose to do it by hand, multiply using long multiplication without paying mind to the decimals, and then when you are finished, add the decimal four places to the left (at the very beginning of the number you should get). So, 3168 becomes .3168, or your final answer.

Sorry, I cannot really show all the steps of the multiplication itself on a computer but I hoped this helps :)

Answer

5724

Step-by-step explanation:

7776+6750+6750

=21276

27000

-21276

=5724

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:

Answer:

See explanation

Step-by-step explanation:

Not sure what a ket feature table is, but the features of this function are as follows:

-linear function

-Slope of 1

-y-intercept at positive 4

Hope this helps!

Answer:

y=3x-7

Step-by-step explanation:

y=mx+b

m is growth

b is when the x-axis point=0

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.

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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:

-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!