MATHEMATICS HIGH SCHOOL

What is (10y+6) (8y-6) ?

Answers

Answer 1

Answer:

Answer:

y = 3/4 or y = -3/5

Step-by-step explanation:

Solve for y:

(8 y - 6) (10 y + 6) = 0

Hint: | Find the roots of each term in the product separately.

Split into two equations:

8 y - 6 = 0 or 10 y + 6 = 0

Hint: | Look at the first equation: Factor the left hand side.

Factor constant terms from the left hand side:

2 (4 y - 3) = 0 or 10 y + 6 = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

4 y - 3 = 0 or 10 y + 6 = 0

Hint: | Isolate terms with y to the left hand side.

Add 3 to both sides:

4 y = 3 or 10 y + 6 = 0

Hint: | Solve for y.

Divide both sides by 4:

y = 3/4 or 10 y + 6 = 0

Hint: | Look at the second equation: Factor the left hand side.

Factor constant terms from the left hand side:

y = 3/4 or 2 (5 y + 3) = 0

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides by 2:

y = 3/4 or 5 y + 3 = 0

Hint: | Isolate terms with y to the left hand side.

Subtract 3 from both sides:

y = 3/4 or 5 y = -3

Hint: | Solve for y.

Divide both sides by 5:

Answer: y = 3/4 or y = -3/5

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Select the mathematical terms that mean "opposite of."
ANOTHER ONE TO TAKE A LOOK AT DOUBLE OR NOTHING
A survey of 1,000 men and women asked, "Do you earn over $50,000 per year?" The table below shows the responses for males and females:Male Female Total Income over $50,000 485 385 870 Income below $50,000 65 65 130 Total 550 450 1,000 Based on these data, are "being male" and "earning over $50,000" independent events? A) Yes, P(being male | the person earns over $50,000) ≠ P(being male) B) Yes, P(being male | the person earns over $50,000) = P(being male) C) No, P(being male | the person earns over $50,000) ≠ P(being male) D) No, P(being male | the person earns over $50,000) = P(being male) Will give a "Brainliest answer" to the first person to respond
What is 4x+3y=14 2y=6+4x

which are the perfect square numbers from the given list: 1,2,3,4,5,6,7,8,9,10,12,14,15,16,18,20,21,24

Answers

Answer: The perfect square numbers in the list, are: 1, 4, 9, 16.

G purchased a family income policy at age 40. the policy has a 20-year rider period. if g were to die at age 50, how long would g's family receive an income?

Answers

Rider period is the period which is offered by the insurer to the policy holder in which the policy would be revived and the benefits pertaining to the policy. In the current scenario, the policy has 20 years of rider policy and is taken when the holder is 40 years old. At the age of 50 years, half of the rider period is consumed and thus the family will wait for the remaining half of the rider period to access the benefits.

Therefore, g's family will receive income for 10 years.

Final answer:

If G, who bought a family income policy with a 20 years rider at age 40, dies at age 50, his family would continue to receive income for another 10 years, which is the remaining period of the policy.

Explanation:

The question refers to a family income policy, which is a type of life insurance. In this situation, G bought a policy at the age of 40 which includes a term life insurance policy and a decreasing term rider of 20 years. If G were to die at age 50, the remaining term of the rider would dictate how much longer the family receives income. As G has held the policy for 10 years, there would be another 10 years remaining on the policy. Therefore, G's family would continue to receive an income for an additional 10 years after G's death.

Learn more about Family Income Policy here:

brainly.com/question/32795614

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5x - 2y = 6x = 5 - y
Solve the system of equations by substitution.

(16/7, 19/7)
(-4/3, 19/3)
no solution
coincident

Answers

sub

x=5-y
nice
sub 5-y for every x you see in other equation

5(5-y)-2y=6
25-5y-2y=6
25-7y=6
minus 25 both sides
-7y=-19
divide both sides by -7
y=19/7

sub back

x=5-y
x=5-19/7
x=35/7-19/7
x=16/7

(16/7,19/7)

first one

A first number plus a second number is 10. Twice the first number plus the second totals 26.

Answers

1st number = x
2nd number = y

2x + y = 26
-
x + y = 10

x = 16

26 - (2 x 16) = -6

10 - 16 = -6

Number 1 is 16
Number 2 is -6

Han has 130$ if she saved 25$ per week in how many weeks will she have 600$

Answers

In 19 weeks this would mean she would have 5 dollars over the amount needed but there can't be half of a week.

She would have 5 dollars over the amount

Beth does not charge a registration fee for her dog-walking service, but she charges $5 per mile that each dog is walked. Tonya's dog-walking service charges a registration fee of $20, plus $3 per mile that each dog is walked. Write and solve an equation to find the number of miles m for which Tonya and Beth would charge the same amount.

Answers

Answer:

The indifference point is 10 miles.

Step-by-step explanation:

Giving the following information:

Beth:

$5 per mile

Tonya's:

registration fee of $20

$3 per mile

First, we need to structure the income formulas:

Beth= 5x

Tonya= 20 + 3x

x= miles

Now, to determine the indifference point, we equal both formulas and isolate "x":

5x = 20 + 3x

2x= 20

x=10

The indifference point is 10 miles.

Beth= 5*10= $50

Tonya= 20 + 3*10= $50

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A Middle Eastern restaurant recorded the number of times 2 dinner appetizers, hummus and baba ghanoush, were ordered every day for 1 month. The restaurant calculated the mean number of times each appetizer was ordered and the MAD (mean absolute deviation) for each appetizer. | Appetizer | Orders sold | Mean | MAD --------------------------- Hummus 24.3 | 3.1 Baba ghanoush 11.5 | 2.9 Which statement best describes the overlap in the distribution of the two data sets? A. The overlap is high because both means are greater than either MAD. B. The overlap is high because the sum of the means is large compared to the MAD. C. The overlap is low because the difference in the MADs is small. D. The overlap is low because the difference in the means is large compared to either MAD.