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3 years ago

Solve for x in the equation 2x2 + 3x-7 = x2 + 5x+39

Mathematics

1 answer:

yulyashka [42]3 years ago

3 0

Answer: x=1+√47 or x=1−√47 (Assuming that the "2x2" is 2x^2)

Step-by-step explanation:

Step 1: Subtract x^2+5x+39 from both sides.

2x2+3x−7−(x2+5x+39)=x2+5x+39−(x2+5x+39)

x2−2x−46=0

For this equation: a=1, b=-2, c=-46

1x2+−2x+−46=0

Step 2: Use quadratic formula with a=1, b=-2, c=-46.

x=1+√47 or x=1−√47

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Find c.

Anika [276]

Answer:

9.7cm

Step-by-step explanation

According to the sine rule;

a/sinA = c/sinC

8/sin55 = c/sin82

Cross multiply

csin55 = 8sin82

c(0.8192) = 8(0.9903)

c = 8(0.9903)/0.8192

c = 7.9221/0.8192

c = 9.67

Hence the value of c to the nearest tenth is 9.7cm

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3 years ago

An investor has an account with stock from two different companies. Last year, his

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Answer:

22.7%

Step-by-step explanation:

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3 years ago

Read 2 more answers

Before every flight, the pilot must verify that the total weight of the load is less than the maximum allowable load for the ai

ss7ja [257]

Answer:

The probability that the plane is oveloaded is P=0.9983.

The pilot should take out the baggage and send it in another plain or have less passengers in the plain to not overload.

Step-by-step explanation:

The aircraft will be overloaded if the mean weight of the passengers is greater than 163 lb.

If the plane is full, we have 41 men in the plane. This is our sample size.

The weights of men are normally distributed with a mean of 180.5 lb and a standard deviation of 38.2.

So the mean of the sample is 180.5 lb (equal to the population mean).

The standard deviation is:

$\sigma=\frac{\sigma}{\sqrt{N}} =\frac{38.2}{\sqrt{41}}=\frac{38.2}{6.4} =5.97$

Then, we can calculate the z value for x=163 lb.

$z=\frac{x-\mu}{\sigma}=\frac{163-180.5}{5.97}=\frac{-17.5}{5.97}= -2.93$

The probability that the mean weight of the men in the airplane is below 163 lb is P=0.0017

$P(\bar X$

Then the probability that the plane is oveloaded is P=0.9983:

$P(overloaded)=1-P(X$

The pilot should take out the baggage or have less passengers in the plain to not overload.

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4 years ago

Find the mean of 9, 5, 5, 9, 2 graphically.

Nadya [2.5K]

Answer:

the mean is 6.

Step-by-step explanation:

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4 years ago

The local pizza parlor is filling an order of 40 pizzas for a school party. The circle graph shows the percentages of the differ

marysya [2.9K]

Answer:

C 10 pizzas

Step-by-step explanation:

We know that there are 40 total pizzas

We also know the percentage of each pizza, except mushroom.

By definition, the total percent of everything is 100%

If we add up what we know...we get the following:

10% Pineapple + 45% Pepperoni + 20% Ham equals 75%

10 + 45 = 55

55 + 20 = 75

If all the pizzas other than Mushroom equals 75% of the pizza toppings, then Mushroom must be 25% of the pizzas

100% - 75% = 25%

25% of 40 pizzas is 0.25 x 40 which equals 10

25% is also the same as 1/4 or one quarter...so 40 divided by 4 is also 10.

So the answer is C. 10 pizzas

Another was to approach this would be to figure out how many of each other pizzas there are.

10% Pineapple is 0.10 x 40 = 4 Pineapple pizzas

45% Pepperoni is 0.45 x 40 = 18 Pepperoni pizzas

20% Ham is 0.20 x 40 = 8 Ham pizzas

if you add 4 + 18 + 8 you get 30 pizzas

40 total pizzas minus 30 non mushroom pizzas leaves 10 mushroom pizzas

5 0

3 years ago