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Alinara [238K]
2 years ago
7

X2 - 8x + 14 = 2x - 7

Mathematics
1 answer:
Marrrta [24]2 years ago
6 0

Answer:

x=7,3

Step-by-step explanation:

x^2-8x+14=2x-7

Add 8x to both sides.

x^2+14=10x-7

Add 7 to both sides.

x^2+21=10x

x^2+7*3=10x

(x*7)+(x*3)=10x

x=7,3

Hope this helps plz hit the crown :D

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a leaky faucet is losing water and is filling a 5-gallon bucket every 20 hours. At that rate, how many gallons of water will the
Arisa [49]
You can either scale down so you can get to 48 hours or just multiply from 20 to 48 and I'll explain both ways.
Scaling down:
You can find how many hours it takes to get to 1 gallon in the bucket by dividing
20÷5=4; It takes 4 hours to fill it up to one gallon.
You can now divide 48 by 4 to see how many gallons it'll take up to 48 hours.
48÷4=12
Quicker:
Divide 48 by 20;
48÷20=2.4
Now multiply since it filled it up to 5 gallons.
2.4×5=12
It'll fill 12 gallons in 48 hours.
Tell me if this helps!!
7 0
3 years ago
Read 2 more answers
(1 point) In 7 years Harry and Sally would like to have $14000 for a down payment on a house. How much should they deposit each
den301095 [7]

Answer:

$110.37

Step-by-step explanation:

Assuming the monthly payment is made at the beginning of the month, the formula for the monthly payment P that gives future value A will be ...

... A = P(1+r/12)((1+r/12)^(nt) -1)/(r/12) . . . . n=compoundings/year, t=years

... 14000 = P(1+.11/12)((1+.11/12)^(12·7) -1)/(.11/12)

... 14000 = P(12.11)((1+.11/12)^84 -1)/0.11 ≈ P·126.84714 . . . . fill in the given values

... P = 14000/126.84714 = 110.37 . . . . . divide by the coefficient of P

They should deposit $110.37 at the beginning of each month.

6 0
3 years ago
Rectangle A has a length of 12 and width of 8. Rectangle B has a length of 15 and a width of 10.
navik [9.2K]

Answer:

rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal

compare ratios of lengths and widths

rectangles A and B

k =  =  ← ratio of lengths

k =  =  ← ratio of widths

scale factors are equivalent, hence rectangle A is a scaled copy of B

rectangles C and B

k =  =  ← ratio of lengths

k =  =  ← ratio of width

scale factors (k ) are not equal, hence C is not a scaled copy of B

rectangles A and C

k =  =  ← ratio of lengths

k =  ← ratio of widths

the scale factors are not equal hence A is not a scaled copy of C

Step-by-step explanation:

6 0
3 years ago
What's the equation for the line that passes through the given point and is parallel to the graph of the given line (3,-1);y=2x-
ad-work [718]
You should plug the x and y values into the original equations to get your b value. You should get a b value of 7. Your new equation should be y=2x+7
5 0
3 years ago
A club is selling hats and jackets as a fundraiser. Their budget is $1500, and they want toorder at least 250 items. Each hat co
Tom [10]

Let H be the number hats and J the number of jackets. Then, we can write,

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Now, since they want 250 items at least, we can write

H+J\le250

Hence, the system of inequalities is

\begin{gathered} 5H+8J\le1500 \\ H+J\le250 \end{gathered}

6 0
1 year ago
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