Drake is saving money to buy a new computer for $1,200. He already has $450 and plans $30 a week. The function y = 30x + 450 represents the amount Drake has saved after x weeks. How many weeks will it take Drake to save enough money to buy the computer?

Answer:

x=1 ,x= -5

Step-by-step explanation:

x+2x2-4=-7x+6

2x2+x+7x-4-6=0

2x2+8x-10=0

divide through out by 2 to reduce the equation

x2+4x-5=0

by using formula method

x=[-b+\-√b2-4ac]/2a. a=1, b=4 c=-5

x=[-4+\-√4^2-4*1*-5]/2*1

x=[-4+\-√16+20]/2

x=[-4+\-√36]/2

x=[-4+\-6]/2

x=(-4+6)/2 ,x=(-4-6)/2

x=2/2 , x=-10/2

x=1 , x=-5

The number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

We have the following quadratic equation -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

We have to determine its solutions.

The Quadratic formula is -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

According to question, we have -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

Rearranging the equation -

[tex]2x^{2}[/tex] + x + 7x - 4 - 6 = 0

[tex]2x^{2}[/tex] + 8x - 10 = 0

Using the quadratic formula -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{64-(-80)}}{4}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{144}}{4}$[/tex]

[tex]$x=\frac{-8 +12}{4}[/tex]       and         [tex]$x= \frac{-8-12}{4}[/tex]

x = 1         and       x = - 5

Hence, the number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

To solve more questions on Quadratic Equations, visit the link below -

brainly.com/question/23458698

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Answer:

8

Step-by-step explanation:

This is the answer because:

1) Since there are 24 cups in one bag and she uses 3 cups per cake, all we have to do is divide:

24 ÷ 3 = 8

Therefore, the answer is 8.

Hope this helps! :D

Answer:

The first one

Step-by-step explanation:

Answer:

A on edge

Step-by-step explanation:

9514 1404 393

Answer:

  see below

Step-by-step explanation:

I like a spreadsheet for doing repetitive calculations. The matchup is shown in the attachment.

The sale price is 100% - 35% = 65% = 0.65 times the regular price.

__

Here, you can also identify the matches by putting the prices in numerical order. The lowest regular price will correspond to the lowest sale price.

  regular, sale

  3.09, 2.01

  3.29, 2.14

  3.77, 2.45

  4.19, 2.72

9514 1404 393

Answer:

  (a)  1, 2

  (b)  4

Step-by-step explanation:

(a)  9x +81 = 9·x +9·9 = 9(x +9) . . . . . . matches first and second choices

__

(b)  10 +14y -5 -y = (14y -y) +(10 -5) = 13y +5 . . . . . . matches fourth choice only

Answer:

You have to graph it

Step-by-step explanation:

Step-by-step explanation:

take the value in that BIG curly bracket as X terms....then substitute one by one to the equation given below to get Y values...after that u have cordinates then u can draw the graph..

[tex]x \: \: \: y \\ - 2 = - 8 \\ - 1 = - 10 \\ 0 = - 12 \\ 1 = - 14 \\ 2 = - 16[/tex]

this is for the first equation..so the coordinated are...

(-2,-8), (-1,-10), (0,-12), (1,-14), (2,-16)

use the same methord to find the others

Answer:

What is the sum of the exterior angles in a regular 15-gon?

The sum of the exterior angles in any convex polygon, including a regular 15-gon, is 360∘.

Step-by-step explanation:

thank me later

mark me as brainliest please

Answer:

5 exterior angles.

Step-by-step explanation: since they all have to add to 360 you can divide 360/5 = 72. You can also check by adding one interior angle plus 72 and checking if you get 180.

Answer:

$16.62 each

Step-by-step explanation:

First, find 20% of the bill to figure out how much the tip is worth:

20% over 100% = $x over $55.40 ---> 20 * 55.4 / 100 = 11.08

Now that we know the tip is $11.08, next add it on to the bill:

$11.08 + $55.40 = $66.48

Now divide this by 4 to split the bill evenly between the 4 friends:

$66.48 / 4 = $16.62

Answer:

Kerri's speed = 50 mile per hour. Therefore option (D) is true.

Step-by-step explanation:

Given the distance-time graph

It is clear from the distance-time graph that:

so the two points on the distance-time graph is:

Finding the slope between the points to determine the speed.

Please note that the slope between the points represents the speed or rate of change.

Speed = Rate of change = y₂-y₁ / x₂-x₁

                                         = 100 - 50 / 2-1

                                          = 50 / 1

                                           = 50 miles per hour

Thus, Kerri's speed = 50 mile per hour. Therefore option (D) is true.

think of it as half a circle which all equals up to 180 degrees

subtract 180 degrees with 62 degrees which 62 degrees is in the problem.

180-62=118 degrees

so your answer is C) 118 degrees

hope that helped you out:)

Please mark my answer brainiest

Point A is at (0,0). This is the origin.

To move to A'(5,2), we will do two things:

This will have (0,0) move to (5,2).

Points B,C, and D follow the same steps to get what the diagram shows. This is why the entire figure moves 5 units to the right and 2 units up. Everything is in lock-step with each other. This keeps the same shape and size.

If you want to use symbols, then you can describe the translation rule as [tex](x,y) \to (x+5, y+2)[/tex]. We add 5 to the x coordinate to shift 5 units to the right, and we add 2 to the y coordinate to shift 2 units up.

Answer:

3

Step-by-step explanation:

5 is greater than 2 and two is negative so the answer is positive

Answer:b

Step-by-step explanation:

Plato

Answer:

-3.56 i think .

Step-by-step explanation:

Answer:

$207.20

I hope this can help in any way!

Answer:

48 miles/hour

Step-by-step explanation:

The average speed is the ratio of the total distance traveled to the total time taven, it i given by the formula:

Average speed = total distance / total time

For Greg, the total distance = 90 miles and the total time = 1 hour 30 minutes = 1 hour + (30/60) hour = 1.5 hours. Hence:

Average speed = 90 / 1.5 = 60 miles/hour

For Kevin, the total distance = 90 miles and the total time = 7 hour 30 minutes = 7 hour + (30/60) hour = 7.5 hours. Hence:

Average speed = 90 / 7.5 = 12 miles/hour

Difference between the average speed = 60 miles/hour - 12 miles per hour = 48 miles/hour

Answer:

200

Step-by-step explanation:

160/80 is 2. 2 times 100 is 200

Answer:

1. domain (-3,5] range (3,4]

2. domain [-2,4] range [5,4]

3. domain (1,4) range (-1,-4)

Step-by-step explanation:

im in algebra two so you can trust my answer. happy holidays and stay safe!

Step-by-step explanation:

1).domain [-3,5)

range( -4,3]

2)domain[-2,4)

range:[-2,5)

3) domain[1,4]

range [-4,-1]

Answer:

You can turn the leftovers into a decimal. the answer you would get would be 1.2.

Step-by-step explanation:

Hope this helps and have a nice day!

Answer:

Calculate out how many times the denominator goes into the numerator. To do that, divide 18 by 15 and keep only what is to the left of the decimal point:

18 / 15 = 1.2000 = 1

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

18 - (15 x 1) = 3

Keep the original denominator and use the answers from Step 1 and Step 2 to get this:

1 3/15

Minimize the fraction part from Step 3 by dividing the numerator and denominator by 3, which is the greatest common factor, to get the final answer. 18/15 as a Mixed Number is:

1 1/5

Which would also equal to 1.2000.

Hope this kinda helped and made some sense.

            (☞ﾟヮﾟ)☞BRAINIEST☜(ﾟヮﾟ☜)            

Step-by-step explanation:

Answer:

The answer is Parkinson's Disease

Step-by-step explanation:

It is correct on Odyssey Ware

Answer and Step-by-step explanation:

Let us assume two boys are jogging.

Boy 1 jogging speed is 10 kilometres per hour

Boy 2 jogging speed is 20 kilometres per hour

This can be represented in terms of distance, d and time, t. When we do this, we have:

d = 10t boy 1

d = 20t boy 2

This implies that boy 1 rate of change is 10 kilometers for every one hour and boy 2 is 20 kilometers for every 1 hour.

From here, we can conclude that the rate of change of boy 2 is twice the rate of change of boy 1.

Answer:

the 2

second one

Step-by-step explanation:

Answer:

DFA BFC

Step-by-step explanation:

Answer:

1/24

Step-by-step explanation:

We can't subtract two fractions with different denominators. So you need to get a common denominator. To do this, you'll multiply the denominators times each other... but the numerators have to change, too. They get multiplied by the other term's denominator.

So we multiply 11 by 8, and get 88.Then we multiply 7 by 12, and get 84.

Next we give both terms new denominators -- 12 × 8 = 96.

So now our fractions look like this:

88 /96 -84 /96

Step 2

Since our denominators match, we can subtract the numerators.

88 − 84 = 4

So the answer is:

4 /96

Step 3

Last of all, we need to simplify the fraction, if possible. Can it be reduced to a simpler fraction?

To find out, we try dividing it by 2...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:            

4 /96 ÷ 2 =2 /48

Let's try dividing by 2 again...

Are both the numerator and the denominator evenly divisible by 2? Yes! So we reduce it:

2 /48 ÷ 2 =1 /24

Let's try dividing by 2 again...

No good. 2 is larger than 1. So we're done reducing.                                    There you have it! The final answer is:

11 /12 -7 /8=1 /24

Answer:

1/24

Step-by-step explanation:

Given function:

Simplifly the denominator:

Subtract the fraction term:

Simplifly the fraction term:

Therefore, 11/12-7/8=1/24.