MATHEMATICS MIDDLE SCHOOL

In FKR, which side is included between F and R​

Answers

Answer 1
Answer: The side that is included is F

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4 friends share 3 oranges equally. How much does each friend get?

Answers

3 oranges / 4 friends  =  3/4 orange for each of them, or 0.75 orange each

(You can check the answer by saying, if each of them get 3/4 of an orange, then multiplying that by the 4 friends should give me the 3 oranges.  3/4 x 4 = 3, so it's correct).
It could be 3 half, because there's 3 oranges so u can give1 for each boy so there will be one left over so u split it in half

identify the solution set of the given inequality using the given replacement set x<-5;(-9,-6.5,-5.2,-5,0,4.2)

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x < -5\to x\in\{-9;-6.5;-5.2\}

You travel 234 miles in 4.5 hours. Find the speed you travel.

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52 mph (like what the other person said ^ you divided the two)

The area of a square deck is 81 square feet. How long is each side

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The formula for the area of a square is:

A=s²

Since we known that the area is 81ft², we can solve for the length of a side.

A=s²
81=s²
find the square root of both sides
9ft=s

The length of each side is 9ft
All you need to do is find the square root of 81, because the formula for the area of square is s^(2).

The square root of 81 is 9 ( 9 x 9 = 81)
To double check, plug 9 into the formula.
area = s^(2)
area = 9^(2)
area = 81

So, therefore, each side is 9ft.

Help with 13-16 pleaseeee

Answers

13. Combine like terms
-2+9-17+16=6

14. -(-x)=-(-60)
x=60

15. -2(-2)^3
-2(-8)=16

16. Multiply 4/3 by the reciprocal of -1/3 which is -3
4/3*-3=-12/3=-4

Graph y = -­4x2 ­- 2 and its inverse

Answers

The function and it's inverse are graphed in the attached diagram.

For  y -intercept is x=0. This implies

y=-4(0)^2-2

y=0-2

y=-2

For x-intercept, y=0, This means that,

0=-4x^2-2

-(1)/(2)=x^2

The above equation tells us that, the above equation has no real roots. Hence the graph has no x-intercept.

Also the value a=-4<0, tells us the graph is a maximum graph.

THE INVERSE OF y

y=-4x^2-2

Interchange x and y.

x=-4y^2-2

Make y the subject to obtain,

y^(-1)=\pm (√(-x-2))/(2).

for x<-2.

You can now find the intercepts, with some few points to graph the inverse.
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