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3 years ago

Factor the following polynomial 7x^2+23x+7x

Mathematics

1 answer:

Dafna1 [17]3 years ago

7 0

Answer:

x=0 and x=-30/7

Step-by-step explanation:

In order to factor, simplify the quadratic first.

$7x^2+23x+7x\\7x^2+30x$

Then factor using GCF and bring out the greatest common factor between them, x.

$x(7x+30)$

Set each factor equal to 0 and solve.

x=0

7x+30=0

x=-30/7

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One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a

Nadya [2.5K]

Answer:

Step-by-step explanation:

lets have one side =a

P=3a+a+(17+a)=52

P=5a+17=52

5a=52-17

5a=35

a=7

second side=21

third side=24

3 0

3 years ago

Q.2. A cricketer scores the following runs in eight innings :

dangina [55]

Answer: Mean Score = 50 Range = 31

Step-by-step explanation:

58+76+40+35+46+45+0+100=400

400/8=50

Range = subtract smallest number from largest number

54 - 23 = 31

7 0

3 years ago

In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e

Nina [5.8K]

Answer:

c = 8.14 million×(0.9166)^t

4.83 million

Step-by-step explanation:

Data:

t = y - 2007

c₀ = 8.14 million

c₃ = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

c₃ = c₀r^t

0.77c₀ = c₀r³

0.77 = r³ Divided each side by c₀

r = 0.9166 Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

7 0

3 years ago

Select the correct answer. Factor the polynomial below. 4x^2-16 A. 4(2 - x)2 B. 4(2 + x)(2 - x) C. 4(x - 2)2 D. 4(x + 2)(x - 2)

Stells [14]

Answer:

The answer is D

4(x²-4)=4(x-2)(x+2)

6 0

2 years ago

The number of miles Ford trucks can go on one tank of gas is normally distributed with a mean of 350 miles and a standard deviat

kati45 [8]

Answer:

The probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.

Step-by-step explanation:

Let X = the number of miles Ford trucks can go on one tank of gas.

The random variable X is normally distributed with mean, μ = 350 miles and standard deviation, σ = 10 miles.

If the Ford truck runs out of gas before it has gone 325 miles it implies that the truck has traveled less than 325 miles.

Compute the value of P (X < 325) as follows:

$P(X$

Thus, the probability that a randomly chosen Ford truck runs out of gas before it has gone 325 miles is 0.0062.

7 0

3 years ago