Find the value of c that completes the square. x'2+42x+C

Answer:

Step-by-step explanation:

We first need to come up with a system of equations that models this situation. Let's call apple pies "a" and lemon pies "L". Then we look to each individual involved in selling these pies and come up with an equation for each. Scott sold 3 apple and 12 lemon pies. The combination of this number of these 2 types of pies grossed him $141. In equation form, the combination of this number of these 2 types of pies is an addition thing. Namely,

3a + 12L = 141

For Paul, his combination was 2 apple and 5 lemon for a total of $64. His equation is

2a + 5L = 64

We need to solve this system either by substitution or elimination/addition to come up with the cost of both types of pies. I chose elimination/addition because I think in this case it is easier, and easier is good.

Setting up for elimination/addition:

3a + 12L = 141

2a  + 5L = 64

Let's first eliminate the a terms. That means that the coefficient on each a has to be the same but with different signs. The LCM of both 3 and 2 is 6, so we will multiply the top equation by 2 and the bottom equation by -3 (we could also have chosen to eliminate the L's first; we also could have chosen to eliminate the a's first but made the 2 negative instead of the 3. As long as you do the math correctly, you'll get the same answer regardless of how you choose to do it). Multiplying the first equation by 2 and the second by -3 gives us a new system:

6a + 24L = 282

-6a - 15L = -192

The reason this is called the elimination or addition method is because the goal is to eliminate, but you do that by adding the columns together. As you can see, 6a - 6a eliminates the a terms, right? What you're left with then is

9L = 90 and

L = 10

Now that we know the cost of a lemon pie, we can back sub in to solve for the cost of an apple pie. It doesn't matter which equation you back sub into, as long as it has both an L and an a in it.  I'll choose the first equation we wrote when we took on this nightmare:

3a + 12L = 141.  Subbing in 10 for L gives us

3a + 12(10) = 141 and

3a + 120 = 141 and

3a = 21 so

a = 7

That means that lemon pies cost 10 each and apple pies cost 7 dollars each.

Answer:

1.25 lawns/per hour

Step-by-step explanation:

Answer:

(2x+1)(x+7)

Step-by-step explanation:

Guess and Check

(2x+7)(x+1) = 2x^2+9x+7. NOPE

(2x+1)(x+7) = 2x^2+15x+7. YES

Answer:

[tex]= (2x + 1)(x + 7) \\ [/tex]

Step-by-step explanation:

[tex]2 {x}^{2} + 15x + 7 \\ 2 {x}^{2} + 14x + x + 7 \\ 2x(x + 7) + 1(x + 7) \\ = (2x + 1)(x + 7)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

The answer is 11 1/4.

Step-by-step explanation:

The value of 3m can be found by multiplying 3 by 3 and 3/4 by 3. We get 9 and 9/4 there. Then we simplify 9/4 into 2 1/4 and say the answer is 11 1/4.

Answer:

there need to line to fly or it migth crash with a bomm!

Step-by-step explanation:

Answer: There exists one plane through any three noncollinear points. Since the points cannot be on the same line, at least two lines would have to pass through any of the three points.

Step-by-step explanation:

Answer:

The answer is the first one.

Step-by-step explanation:

Because this is a linear equation, it will continue on in both directions forever, so the both the x and y values to infinty can be included in this line.

Answer:

1080 degrees

Step-by-step explanation:

The sum of the interior angles in an octagon can be find through the formula:

(n-2)180

n is the number of sides, put n as 8.

(8-2)180

(6)180 = 1080

1080 degrees is the sum of the interior angles in an octagon.

Answer:

Probably. X=7 m

Step-by-step explanation:

I think this is the answer

Answer:

4 623

Step-by-step explanation:

4.623 x 1000

When multiplying by a  positive power of 10, move the decimal by the number of zeros

Since we have 3 zeros, move the decimal 3 places to the right

4 623

Answer:

You can easily figure that

[tex]4.623 = 4623 \cdot 10^{-3}[/tex]

[tex]1000 = 1\cdot 10^3[/tex]

The multiplication: [tex](4623 \cdot 10^{-3}) \cdot (10^3)=4623[/tex]

Answer:

y = 200 + 50x

Step-by-step explanation:

y = cost

x = number of months

The cost is equal to the cost to open the plan plus the monthly fee times the number of months

y = 200 + 50x

Answer:

y = 200 + 50x

Step-by-step explanation:

the cost = the base cost plus the monthly charge ($50 per the number of months you pay it)

hope this helps (/o.o)/<3

Answer:

Yes

Step-by-step explanation:

We don't  even have to do a calculation.  

The arch of the bridge is at point C.

The top of the yacht's mast is at E.

Even though the yacht is much closer to the water's edge, its mast has a much smaller angle of elevation.

The yacht can easily pass under the bridge.

Answer: no solutions

Step-by-step explanation:

There is no solutions because

the lines don't cross each other

Hope this helps :)

Answer:

no solutions

Step-by-step explanation:

4x - 6y = -24

2x - 3y = -6

Multiply the second equation by -2

-4x +6y = 12

Add this to the first equation

4x - 6y = -24

-4x +6y = 12

------------------------

0 = -12

This is never true so there are no solutions

Answer:

(x+1)(x+8)

x^2 + 8x + x + 8

x^2 + 9x + 8

Step-by-step explanation:

1. multiply the length and width by using the foil method

2. add like terms

Answer:

-The equation:

[tex]y = x + 2[/tex]

Step-by-step explanation:

Use the Point-slope formula to get the slope-intercept equation:

[tex]y-y_{1} = m(x-x_{1})[/tex]

Use the given slope [tex]1[/tex] and point [tex](3,5)[/tex] for the point-slope formula:

[tex]y-5 = 1(x-3)[/tex]

-Then, solve:

[tex]y-5 = 1(x-3)[/tex]

[tex]y-5 = x - 3[/tex]

[tex]y-5 + 5 = x - 3 + 5[/tex]

[tex]y = x + 2[/tex]

-So, the answer is:

[tex]y = x + 2[/tex]

Answer:

C. [tex]y = x +2[/tex]

Step-by-step explanation:

→You can figure this out by plugging in the numbers into the point-slope form, like so:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]y-5=1(x-3)[/tex]

[tex]y - 5=x-3[/tex]

[tex]y = x +2[/tex]

Answer:

.42n = p

Step-by-step explanation:

We can write ratios to solve

2.52 / 6 = p/n

.42 = p/n

Multiply each side by n

.42n = p

Answer:

A is the answer

Step-by-step explanation:

You have to divide $2.42 by 6.

[tex]2.52/6=0.42[/tex]

The unit rate would be

[tex]p=0.42n[/tex]

So for every orange it will cost $0.42

Hope this helps

Answer:

x = 0, 51

Step-by-step explanation:

→First, you need to factor out the GCF (Greatest Common Factor), which is -0.03x, like so:

-0.03x (x - 51) = 0

→Remove the -0.03 by divide it by both sides:

x(x - 51) = 0

→Separate each, like so:

x = 0

x - 51 = 0

→Solve for x:

x - 51 = 0

x = 51

Your solutions are, 0 and 51.

Answer:

Some numbers cannot be written as a ratio of two integers

Step-by-step explanation:

Answer:

An irrational number is a number that can not be written as a simple fraction or be expressed as the quotient of two integers.

Integer : (A whole number that is not a fraction).

Step-by-step explanation:

Answer: 14:12, 21:18, 28:24, 35:30, 42:36

Answer:

14:12 3.5:3 21:18 28:12 35:30

Step-by-step explanation:

just multiply/divide both sides by the same number

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Given that, when six is subtracted from five times a number, the result is 9.

Let the number be y, such that;

(5 × y) - 6 = 9

Next, we solve for y

(5 × y) - 6 = 9

5y - 6 = 9

5y = 6 + 9

5y = 15

y = 15 / 5

y = 3

Given that, when six is subtracted from five times a number, the result is 9. The number is 3.

Learn more word problems here: brainly.com/question/2610134

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Answer:

Step-by-step explanation:

[tex]\frac{4}{5+6}=\frac{4}{11}\\\\3+\frac{4}{5+6}=3+\frac{4}{11}\\\\=\frac{3*11}{1*11}+\frac{4}{11}\\\\=\frac{33+4}{11}\\\\=\frac{37}{11}\\\\\\\frac{2}{3+\frac{4}{5+6}}=\frac{2}{\frac{37}{11}}\\\\=2*\frac{11}{37}\\\\=\frac{22}{37}\\\\\\\\1+\frac{2}{3+\frac{4}{5+6}}=1+\frac{22}{37}\\\\=\frac{37}{37}+\frac{22}{37}\\\\=\frac{37+22}{37}\\\\=\frac{59}{37}\\\\=1\frac{22}{37}\\[/tex]

Answer

[tex]59/37[/tex]

Explanation

[tex]1+\frac{2}{3+\frac{4}{5+6} }[/tex]

[tex]1+\frac{2}{3+\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{3}{1} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{33}{11} +\frac{4}{11} }[/tex]

[tex]1+\frac{2}{\frac{37}{11} } }[/tex]

[tex]1+2 \times \frac {11}{37}[/tex]

[tex]1+\frac{22}{37}[/tex]

[tex]1\frac{22}{37}[/tex]

[tex]\approx 1.594594594594594594594594594594595[/tex]

Hints:

Step 1: Use Sine law the the angle B.

a/Sin A=b/SinB=c/SinC

24/Sin61^=12/SinB (accross multiply)

SinB=12Sin61^/24

SinB=0.437309853 then convert to degree =25.9 degree( depends on question rounded how many decimal) Read the question it must notes there.

--> Angle C=180-61-25.9=93.1 degree.

Step 2: Use Cosine law to calculate.

c^2=a^2+b^2−2ab⋅cosC

c^2=24^2+12^2-2(24)(12)cos93.1

c^2=720-576(-0.054078812)

c^2=720+31.11494

c^2=751.1494

c=27.4

(Square root take exponent off)

Step-by-step explanation:

Answer:

[tex] 60\sqrt{3 \\ } [/tex]

Step-by-step explanation:

in a cube, the diagonal is the length of a side times square root of 3

Answer:

17 weeks

Step-by-step explanation:

(12×17)+21= 225

(10×17)+55=225

Answer:

1000g = 1kg

76.2g ÷ 1000 = 0.0762kg

Answer:

0.0762

Step-by-step explanation:

Answer:

The amount of money that Ross has = $0.97

Step-by-step explanation:

We are told in the question that Ross has a fourth of the Amount needed to buy his computer.

Let us represent cost of the computer as = Y

Hence, Ross has = 1/4 of Y

From the question, we are told the cost of the Computer. Therefore,

Y = $213÷ 55

Y = $3.8727272727 = $3.87

The cost of the computer = $3.8727272727

Since Ross has 1/4 of the amount needed for the computer ,

This is calculated as : 1/4 × $3.8727272727

=$0.9681818182

Approximately: $0.97

Therefore, The amount of money that Ross has = $0.97

Answer:

0.97

Step-by-step explanation:

Answer:

Answer choice a is correct, the answer would be 4.

Step-by-step explanation:

The histogram shows that the bin from 1-3 has a height of 4 shots, and all of the bins to the right include values of ≥4.

The question asks for the number of games that had less than 4 shots, which means that and number of shots greater than or equal to 4 would not be counted. Thus, only the first bin is included in the answer.

Answer:

(4,0) and ( 0,-4)

Step-by-step explanation:

The solutions are the the graphs intersect

There are two points

(4,0) and ( 0,-4)

Answer: well this is pretty simple Trevon sold 1 package of chocolate chip cookie dough and 1 package of sugar cookie dough for a total of $12. What’s 6+6? 12.

And dan sold 5 packages of chocolate chip cookie dough and 8 packages of sugar cookie dough for a total of $84 so what is 5x6? 30 and what’s 8x6? 48 now what’s 30+48? 78 and what’s 78+6? 84. There’s your answer, the cost of one package of chocolate chip cookie dough and one package of sugar cookie dough is $6

I hope this helps!!