MATHEMATICS MIDDLE SCHOOL

solve the system of equations below by graphing both equations with a pencil and paper what is the solution y=2x-4 y=-x+5

Answers

Answer 1

Answer:

Answer:

The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 )

Step-by-step explanation:

Given as :

The two algebraic equation is

y = 2 x - 4 .......A and y = - x + 5 ........B

The given two algebraic equation can be solved by putting the one variable to the other equation

Now , put the value of y from Eq A into the Eq B

I.e 2 x - 4 = - x + 5

or, 2 x + x = 5 + 4

or, 3 x = 9

∴ x = $(9)/(3)$

I.e x = 3

So The value of x = 3

Again, put the value of x in the equation A

I.e y = 2 x - 4

or, y = 2 × 3 - 4

∴ y = 6 - 4

I.e y = 2

So The value of y = 2

So , The coordinate of points on the graph as ( x , y ) = ( 3 , 2 )

Hence The coordinate of the points on the graph as shown , where ( x ,y ) = ( 3 , 2 ) Answer

Answer 2

Answer:

Answer:

3,2

Step-by-step explanation:

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Help me out with the on at the top that says number system

Answers

11.2 + 3.4 = 14.6
Marcus dived down a total of 14.6 meters

He then swims up 6.2 meters

14.6 – 6.2 = 8.4

He is a total of 8.4 meters below the surface.

A recycle machine crushes 175 pounds of cans in 5 minutes. How many pounds of cans will the machine crush in 16 minutes?A) 560
B) 955
C) 1,925
D) 2,805

Answers

x = pounds of cans crushed

*use similar ratios

(175 lbs)/(5 min) = (x)/(16 min)

*find x by multiplying both sides by 16

x = (175 lbs)/(5 min)*(16 min) = 560 lbs

so . . . the answer is . . . A) 560

The answer will be A) 560 because when you divide 175 by 5 is with be 35 then multiply 35 by 16 that will give you 560. Your welcome :)

Can someone please help? Thank you!

Answers

Answer:

$(2x(5x+1))/(4x-1)$

Step-by-step explanation:

Given expression:

$((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))$

Consider the numerator and the denominator separately.

Numerator:

$(4x^3-12x^2)/(4x^2+7x-2)\n \n=(4x^2(x-3))/(4x^2+8x-x-2)\n \n=(4x^2(x-3))/(4x(x+2)-(x+2))\n \n=(4x^2(x-3))/((x+2)(4x-1))$

Denominator:

$(2x^2-6x)/(5x^2+11x+2)\n \n=(2x(x-3))/(5x^2+10x+x+2)\n \n=(2x(x-3))/(5x(x+2)+(x+2))\n \n=(2x(x-3))/((x+2)(5x+1))$

The whole expression:

$((4x^3-12x^2)/(4x^2+7x-2))/((2x^2-6x)/(5x^2+11x+2))\n \n \n=((4x^2(x-3))/((x+2)(4x-1)))/((2x(x-3))/((x+2)(5x+1)))\n \n \n=(4x^2(x-3))/((x+2)(4x-1))\cdot ((x+2)(5x+1))/(2x(x-3))\n \n \n=(2x(5x+1))/(4x-1)$

A tennis player hits a serve that cannot be returned 45% of the time out of 300 serves, how many can the tennis player predict will not be returned.

Answers

Multiply .45 and 300 and you will get 135 tennis balls.

Speedy McGoo ran 400 meters in 14.5 seconds. If he keeps the same pace, how long would it take him to run 600 meters?

Answers

Speedy McGoo can run 600 meters in 21.75 seconds at a still rate,
I hope this helped you!

What is the answer snd steps to 4/5=-4/7g

Answers

$(4)/(5)= (-4)/(7g)\ \ \ \Rightarrow\ \ \ 4\cdot7g=5\cdot(-4)\ /:(4\cdot7)\n \ng= (5\cdot(-4))/(4\cdot7) = -(5)/(7) \n\n------------\n\n (4)/(5)= (-4)/(7)\cdot g\ /\cdot (- (7)/(4) )\n \n g=(4)/(5)\cdot (- (7)/(4) )=- (7)/(5)$

Isolate the variable g on one side of the equation by multiplying by (-7/4) on each side. The fours cancel since you get (4/5)*(-7/4) = (4/4)*(-7/5) = 1*(-7/5) and you're left with g = (-7/5) = -1 2/5 = -1.40

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Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 3 and a horizontal side of 7. The other triangle has a vertical side of 9 and a horizontal side of 21. Could the hypotenuses of these two triangles lie along the same line? (4 points) Yes, because they are both right triangles Yes, because they are similar triangles No, because they are not similar triangles No, because one is larger than the other Description