MATHEMATICS HIGH SCHOOL

Find the product. (x - 7)(y - 9)

Answers

Answer 1

Answer:

Answer: $xy-9x-7y+63$

Step-by-step explanation:

The given expression: $(x - 7)(y - 9)$

We know that the distributive property is given by :-

$a(b+c)=ab+ac$ [Left side]

$OR\n\n(b+c)a=ba+ca$ [Right side]

So applying the distributive property(Left sides) in the above expression, we get

$(x - 7)y - (x - 7)9)$

Again applying the distributive property (Right side) in the above expression, we get

$= xy - 7y- 9x +(7)(9)\n\nxy-9x-7y+63$

Answer 2

Answer: (x - 7)(y - 9)

x*(y - 9) - 7*(y - 9)

x*y - x*9 - 7*y -7*(-9)

xy - 9x - 7y + 63

That's the product.

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The regular price of an item is $65. The item is on sale with a discount of $8.What is the discount rate

Answers

The discount rate is the discount amount ($8) divided by the regular price, as a percentage.65/8=8.125 rounded to 8 so 8%.

On a soccer team, 8 out of 19 players surveyed say they had two or more siblings. The league has 570 players. Which is the best prediction of the number of players in the league that have two or more siblings?A.330

B.240

C.30

D.11

Answers

Since we know that 8 out of 19 players have two or more siblings, we can write the ratio as 8/19. Now to use that for the whole team, we will cross multiply:

8/19 and x/570, to find x. so 8*570 = 19x == 4560 = 19x, x = 240.

So (B) 240 players on the team have two or more siblings.

The arithmetic mean (A) of two numbers (a and b) is given by the formula A=a b2, and their geometric mean (G) is given by G=ab−−√. Their harmonic mean (H) is given by the formula G=AH−−−√. Which formula correctly gives H in terms of a and b?

Answers

Answer:

$H = (2ab)/(a+b)$

Step-by-step explanation:

As per the given statement:

The arithmetic mean (A) of two numbers (a and b) is given by the formula:

$A = (a+b)/(2)$ .....[1]

and

their geometric mean (G) is given by :

$G = √(ab)$ .....[2]

Their harmonic mean (H) is given by the formula:

$G = √(AH)$

Squaring both sides we get;

$G^2 = AH$

Substitute the given values we have;

$(√(ab))^2 =(a+b)/(2) \cdot H$

⇒ $ab = (a+b)/(2) \cdot H$

Multiply by 2 both sides we have;

$2ab = a+b \cdot H$

Divide both sides by a+b we have;

$(2ab)/(a+b) =H$

$H = (2ab)/(a+b)$

Therefore, the formula correctly gives H in terms of a and b is, $H = (2ab)/(a+b)$

$G=√(AH) \n G^2=(√(AH))^2 \nG^2=AH \nH=(G^2)/(A) \n \n A=(a+b)/(2) \hbox{ and } G=√(ab) \n \Downarrow \nH=(G^2)/(A)=((√(ab))^2)/((a+b)/(2))=(ab)/((a+b)/(2))=ab * (2)/(a+b)=(2ab)/(a+b) \n \n\boxed{H=(2ab)/(a+b)}$

Зу = х - 9y = -x + 1
Using the graphing method, which of the following choices is the solution of the system?
A=(-3 ,-2)
B=(3 ,-2)
C= Infinite solutions
D= No solutions

Answers

Answer:

did i got it correct if yes follow plz

used a graphing tool to, well, graph it

see the solution in the screenshot, it's the point where the two lines intersect

Given a mean of 8 and a standard deviation of 0.7, within how many standard deviations of the mean do the values 7.7, 8.4, 9, 8, and 6.9 fall?2

1

0

3

Answers

*We can to find the upper limit of the data by using the values given in the options.
If 2
the upper limit is 8 + 2*0.7 = 9.4

If 1
the upper limit is 8 + 1*0.7 = 8.7

If 0
the upper limits is 8+ 0*0.7 = 8

If 3
the upper limit is 8 + 3*0.7 = 10.1

Therefore, the answer is
3
since all the values are included

Tom bought 2.5 cakes for class for the class picnic. 25 students will share the cake equally. what fractional part of a cake should each student receive so that no cake is left over?

Answers

THE ANSWER IS 27.5,BECAUSE WHEN I ADDED IT 25+2.5 I GOT 27.5.THIS IS HOW I GOT MY ANSWER.

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