Identify a factor of the trinomial x2 + 6x + 8

Answers

Answer 1

Answer: (x+4) and (x+2) are factors.

Answer 2

Answer: (x+2) and (x+4) are your main factors

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300 reduced by twice my age is 192

Answers

If 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.

To solve the given equation "300 reduced by twice my age is 192," we can represent the equation using algebraic notation.

Let's assume "x" represents your age. The equation can be written as:

300 - 2x = 192

Now, let's solve for x:

300 - 192 = 2x

108 = 2x

54 = x

Therefore, if 300 reduced by twice your age is equal to 192, your age (represented by x) would be 54 years old.

To know more about algebraic notation:

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well u divide 300 by 2 which is 150 so u will be 150

Help me please!!!!! A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing. Past statistics show that 10% of the cans are defective. What is the probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans?

A. P(Both defective) = start fraction six over 25 end fraction
B. P(Both defective) = start fraction one over 118 end fraction
C. P(Both defective) = start fraction three over 250 end fraction
D. P(Both defective) = start fraction nine over 625 end fraction

Answers

The probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans is 1/118.

What is probability?

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A manufacturer produces soda cans and a quality control worker randomly selects two cans from the assembly line for testing.

Past statistics show that 10% of the cans are defective. Thus the probability of defective can to be selected is,

$P=(1)/(10)$

There is total 60 cans in which 10 percent are defective. Hence the total defective can in one batch are 6.

In the second attampt the number of total can in batch will be 59 and number of defective can will be 5.

The probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans by chain rule is,

$P=(6)/(60)*(5)/(59)\nP=(1)/(118)$

Thus, the probability that the two selected cans are defective, when the quality control worker selects the two cans from a batch of 60 cans is 1/118.

Learn more about the probability here;

brainly.com/question/24756209

The probability that the two selected cans are defective if the quality control worker selects the two cans from a batch of 60 cans is P(Both defective) = start fraction nine over 625 end fraction. The answer is letter D

Suppose an investment of $3,800 doubles in value every decade. The function f(x) = 3,800 * 2^2 gives the value of the investment after x decades. How much is the investment worth after 2 decades?A. $152,000
B. $15,200
C. $76,000
D. $7,600

Answers

3,800 x 4 = 15,200 therefore:
B

doubles every decade
basically
for x deckades
the amount is multiplied by 2^x
so
2decades
2^2
3800*2^2
3800*4
15200

B is answer

a fast food restaurant sells small soft drinks for .99, medium soft drinks for $1.09, and large drinks for $1.29. during the lunch time rush, mark sold 65 drinks for a total of $ 70.55. the number of small and large drinks combined were 5 fewer than the number of medium drinks. how many drinks of each size were sold

Answers

Answer: small soft drinks= 21

Medium soft drinks = 35

Large drinks = 9

Step-by-step explanation:

The product of the first and last digit is equal to 48The sum of the last two digits is greater than 7

The sum of the first two digits is equal to 9

Answers

$a,b,c,d\ \rightarrow\ digits\ of\ number\n\n a\cdot d=48\nc+d=7\ \ \Rightarrow\ \ c \leq 7\ and\ d \leq 7\ \ \ (*)\na+b=9\n\na\cdot d=48\ \ \Rightarrow\ \ (*)\ a=8\ and\ d=6\n\na=8\ \ \Rightarrow\ \ 8+b=9\ \ \Rightarrow\ \ b=1\n\nd=6\ \ \Rightarrow\ \ c+6=7\ \ \Rightarrow\ \ c=1\n\nAns.\ number:\ \ 8116$

If QRST is a rectangle, find the value of x if angle Q is equal to 5x+30

Answers

A rectangle is a four-sided flat shape where every angle is a right angle (90°).

$QRST = 90^0$

$5x + 30 = 90$

$5x = 60$

$5x = 60 / 5$

$x = 12$

If QRST is a rectangle then Q = 90°.

Threfore

5x + 30 = 90 |subtract 30 from both sides

5x = 60 |divide both sides by 5

x = 12

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