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vampirchik [111]
2 years ago
13

Is x = -12 a solution of x^2 +10x+25=49?

Mathematics
1 answer:
Tresset [83]2 years ago
8 0

Answer:

Yes

Step-by-step explanation:

{x}^{2}  + 10x + 25 = 49 \\  {x}^{2}  + 10x + 25 - 49 = 0 \\  {x}^{2}  + 10x - 24 = 0 \\ (x + 12)(x -2 ) = 0 \\  \\ x  + 12 = 0 \\ x =  - 12 \\  \\  \\ x  - 2 = 0 \\x = 2

I hope I helped you^_^

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Can someone match these up?
Anuta_ua [19.1K]

Answer:

(-7)(-1.2) = 8.4

(-2.5)(-2) = 5

(2.5)(-2) = -5

(7)(-1.2) = -8.4

Step-by-step explanation:

Multiplication.

4 0
3 years ago
On each round, Ann and Bob each simultaneously toss a fair coin. Let Xn be the number of heads tossed in the 2n flips which occu
CaHeK987 [17]

Answer:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

Step-by-step explanation:

In a coin toss the  probability of tossing a head is 0.5 (50% head/50% tails)

If n is the number of rounds and 2n the number of coins tossed (one for each player), the probability of having m heads tossed is:

R=\frac{2n!}{m!*(2n-m)!}

R is the number of cases (combination of coins tossed) that gives a m number of heads. Each case has a probability of P_{case}=0.5^{2n} so:

P=\frac{2n!}{m!*(2n-m)!}*0.5^{2n}

<u>For example, to toss 4 heads in 5 rounds: </u>

  • n=5
  • 2n=10
  • m=4

P=\frac{10!}{4!*(10-4)!}*0.5^{10}

P=\frac{10*9*8*7*6!}{4!*6!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}

P=\frac{10*9*8*7}{4!}*0.5^{10}=0.205

8 0
3 years ago
1. the number 0 (for the real numbers) distributive property 2. a(b + c) = ab + ac or a(b - c) = ab - ac literal equation 3. an
Semenov [28]
  1. the number 0 — additive identity
  2. a(b+c) = ab+ac — the distributive property
  3. an equation containing more than one variable — literal equation
  4. the number 1 — multiplicative identity
  5. the reciprocal of a number — multiplicative inverse

If x ≠ 0, then 1/x is its multiplicative inverse — true.

The product of a number and its multiplicative inverse is 1 — true.

4 0
2 years ago
a farmer has 10 acres to plant in wheat and rye. He has to plant at least 7 acres. However, he has only $1200 to spend and each
Jobisdone [24]

Answer:

4 acres of wheat and 4 acres of rye.

Step-by-step explanation:

Given: Farmer has only 7 acre, he has plant at least 7 acres.

          Farmer has only $1200 to spend.

          Each acre of wheat will cost $200 and rye will cost $100.

          Planting time is only 12 hours

          Wheat planting take 1 hour per hour and rye take 2 hours per acre.

          Profit on wheat is $500 per acre and rye $300 per acre.

As to find out maximum profit, we need to plant maximum wheat.

While dividing number of acres of land for wheat and rye for plantation, we need to keep two constraint in the mind; Constraint of cost and time as given.

Lets assume few number considering these constraint to get maximum profit.

First assumption, 5 acres of wheat and 2 acres of rye

Time taken= 5\times 1= 5 h\\2\times 2= 2 h

Total time taken 7 hours

Amount spent= 5\times 200= \$ 1000\\2\times 100= \$ 200

Total cost is $ 1200.

Profit= 5\times 500= \$ 2500\\2\times 300= \$ 600

Maximum profit= $3100.

Second assumption, 4 acres of wheat and 4 acres of rye.

Times taken= 4\times 1= 4 h\\4\times 2= 8 h

Total time taken is 12 hours

Amount spent= 4\times 200= \$ 800\\4\times 100= \$ 400

Total cost is $1200.

Profit= 4\times 500= \$ 2000\\4\times 300= \$ 1200

Maximum profit= $3200.

∴ By using hit and trail method, we can see that we are getting maximum profit when farmer is planting 4 acres of wheat and 4 acres of rye.                

8 0
2 years ago
Write an equation of the line in slope-intercept form for the graph<br><br> Please helppp
Anvisha [2.4K]

Answer:

y=-4/3+2

Step-by-step explanation:

Sin the slope is going up to the left we can already infer that it is going to be a negative. Still we do the equation y2-y1/x2-x1. In this case 0 is x1 and 2 is y1, 3 is x2, and -2 is y2. Once inserted into the equation you get -2-2/3-0 which equals -4/3 and the y intercept is 2 since thats the point shown were it intercepts the y-axis

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2 years ago
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