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What is the vertex of f(x) = 5x^2 + 20x – 16?

Answer:

61 degrees

Step-by-step explanation:

The THREE angles in the diagram sum to 180 degrees ( straight line = flat wall)

3x+1     +   58   +   4x-19     = 180

solve for x = 20     then A = 3x+1 = 61 degrees

The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

The equation of a straight line whose slope and y-intercept are given. Suppose a non-vertical line has a gradient or slope of m and y-intercept equal to c. Let (x, y) be any point on the line and a line intersect the y-axis at the point (0, c).

 y = mx + c

Using the slope-intercept form (y = mx + b) to find the function of the graph,

B = -100/5t + 500

Or  B = -20t + 500.

After 1 hr or t = 1 Demi earns B = 50(1) or $50 teaching

After 1 hr or t = 1 Demi spends B = -20(1)

-$20 on spin class.

If it’s asking just the rate of increase or decrease, the slope of 50t is greater than the slope of -20t.

Thus, The answer should be Demi earns more teaching drum class regardless of how many hours she puts in.

Learn more about slope;

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Answer:

[tex] \frac{3}{4} [/tex]

Step-by-step explanation:

[tex] \frac{12 - 3}{12} [/tex]

[tex] \frac{9}{3} [/tex]

cross out the common factor.

[tex] \frac{3}{4} [/tex]

Answer:

9/12 (or 3/4)

Step-by-step explanation:

If you subtract the number of brownies that Brittany's brother will eat, you will have 9 remaining brownies. So, that means 9 out of the original 12 brownies will be left, or 9/12. Also, you can simplify the fraction. Both 9 and 12 can be divided by 3.

9/12 divided by 3/3 equals 3/4. 3/4 is the fraction in it's simplest form.

So, 9/12 (or 3/4) of the brownies are left.

I hope this helps! Have a lovely day!! :)

Answer:

[tex]y=\frac{x-9}{-8}[/tex]

Step-by-step explanation:

1. change f(x) to y

2. switch x and y

[tex]x= -8y+9[/tex]

3. solve for y

[tex]x-9=-8y[/tex]

[tex]y= \frac{x-9}{-8}[/tex]

Answer: y = (9-x) / 8

Step-by-step explanation:

set f(x) = y

y = -8x + 9

to find inverse repalce all y values with x and x values with y then solve for y again

x = -8y + 9

x - 9 = -8y

y = (x-9) / -8

distribute -1 through the numerator and make 8 positive

y = -x+9/8

y = (9-x)/8

The cost-savings if the Yert Family chooses the cheaper company is: $450.50

First, we determine the cost of the service of each company. Comparing that will give us an idea of the company whose service is cheaper.

Second, we subtract the lower sum from the higher. This gives us the cost savings by the Yert Family.

Step 1

Expressing the payment plan for Green Lawns, we have:

First week= $2
Second week = (2 + (2*0.85) )  = 3.7

Third week= (3.7 + (2*0.85) ) = 5.4

Using the above cumulative method, we arrive at the series of payments due per week

The series of payment are given as follows:
2 + 3.7 + 5.4+7.1+8.8+10.5+12.2+13.9+15.6+17.3+19+20.7+22.4+24.1+25.8+27.5+29.2+30.9+32.6+34.3+36.0+37.7+39.4+41.1+42.8+44.5+46.2+47.9+49.6

= $799.50

Step 2

Expressing the payment plan for Green Thumbs, we have:

350 + (30*30) = $1,250

Step 3

Hence (assuming they go for Green Lawns) the cost savings will be:

$1,250.00 - $799.50 = $450.50

Learn more about Cost-Saving exercises at:
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Answer:

c

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

500/35 approx 14.28

Always round up otherwise there won’t be enough

14.28 rounded up = 15

Answer:

M/5 =15

Step-by-step explanation:

The answer to part a was m/5. m/5 is the amount of questions Jack does per day. If 15 is supposedly the number of question he does per day, then m/5 and 15 are equal. Making m/5=15. Good luck fellow RSM student.

In the word document :)

Step-by-step explanation:

16

SSS

17

SAS

18

SSS

19

AAS

20

ASA

Answer:

5 years

Step-by-step explanation:

Answer:

A.

Mean-103.0625

Median- 8, 9

Mode- 8, 1

B.

They should use the shoe size 6, because it has the most women waering it.

Your Welcome!

Step-by-step explanation:

Mean:-

Median:-

Total terms 8

Median =n/2th term +(n/2+1)th term

Mode:-

No modes

Answer:

x = 90

Step-by-step explanation:

If the line is straight.

Angles on a straight line add up to 180

2x = 180

x = 90

The file size sent in kilobytes was converted to bytes, the 4 kilobytes is equivalent to 80 bytes

Given Data

We are told that 1 kilobytes = is equivalent to 20 bytes

hence 4 kilobytes will be equivalent to x bytes

cross multiplying we have

4*20 = x

x = 80 bytes

Therefore, the file size is 80 bytes

Learn more about unit conversion here:

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Answer:

426

Step-by-step explanation:

To determine how to round up or down, we look at the place after the one we want to round to. In this case, we look at the tenths place.

If the tenths place is [tex]\geq 5[/tex] then you round up, and if it is [tex]\leq 4[/tex] you round down.

We see that the number is five and we round up to 426

Answer:

9:15 PM

Step-by-step explanation:

1 hour and 40 minutes after 7:35 is 9:15

Answer:

The total number of students that voted is 25.

Step-by-step explanation:

18 students = 72% of the students who voted

Divide the percentage of students by 100.

72% ÷ 100 = 0.72%

Then, divide 18 by 0.72%.

18 ÷ 0.72% = 25

So, the total number of students that voted is 25 students.

Hope this helped !

Answer:

y=y

Step-by-step explanation:

y=y because y has the same value as y

Answer:

angle X = 80; angle Y = 100; angle W = 100; x = 10

Step-by-step explanation:

opposite angles are always equal, which means that angle Z and angle X are equal.

angle X = 80º

now, angle Z plus angle Y makes a straight line, which means 180º (if you put the two angles next to each other)

that means 80 + (11x - 10) = 180

11x = 110

x= 10

by using this, we can find angles Y and W since opposites are equal

11x - 10 would be 100 and angles Y and W would be 100

What do we know:

What do we want to find ⇒ Density

To solve that,

  ⇒ must find the relationship between density, mass, and volume

         ⇒ Density = mass / volume

Now let's convert some units to make it into a standard answer:

               (1 cubic meter = 1000000 cubic centimeter)

   ⇒ Density = 0.1 / 0.000048 = 2,083.33 kilograms per cubic meter

Hope that helps!

Answer:

I guess D. the sum of 9 multiplied by some number plus 7

Answer: b

Step-by-step explanation:

Graphing the triangle, we can see that it will be right.

A dodecagon is a twelve-sided polygon that's equally spaced around a circle and with all sides, the same length.

Answer:

Distance, rate and time problems are a standard application of linear equations. When solving these problems, use the relationship rate (speed or velocity) times time equals distance.

Explanation:

For example, suppose a person were to travel 30 km/h for 4 h. To find the total distance, multiply rate times time or (30km/h)(4h) = 120 km.

The problems to be solved here will have a few more steps than described above. So to keep the information in the problem organized,  use a table. An example of the basic structure of the table is below:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Volume of cone :

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \pi{r}^{2} h[/tex]

Now, let's plug in the values as per the diagram ~

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 3.14 \times {(18)}^{2} \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: \frac{1}{3} \times 31.4 \times 324[/tex]

[tex]\qquad \sf  \dashrightarrow \: 31.4 \times108[/tex]

[tex]\qquad \sf  \dashrightarrow \:3391.2 \: \: ft {}^{3} [/tex]

Answer:

£13,110.49

Step-by-step explanation:

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

P(Principal) = £200 000

r(interest rate) = 1.6% = 0.016

The total amount been saved after 4 years is calculated as:

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

A = £200,000( 1 + 0.016/1)¹× ⁴

A =  £200,000(1.016)⁴

A =  £213,110.48991

A = £ 213,110.49

Claire will get approximately £ 213,110.49 within 4 years.

Answer:

divide the pounds to get 18 ounces

Step-by-step explanation:

i think?

Answer:

lol same but that's okay we can all for sure get better at it :)

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

As it is a RIGHT triangle, the formula is a^2+b^2=c^2.

We are given one leg and the hypotenuse. That means 4^2x2+b^2=81.

To find 4 root 2 square, you square them individually then multiply.

4^2=16 times 2 (root 2 squared is 2).

Simplified, that gives 16x2=32,

81-32=49.

The last leg is seven.