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3 years ago

Graph the function y=2x^2-3?

Mathematics

1 answer:

maria [59]3 years ago

5 0

Plug these points on your graph and then connect the points u should get a graph lookin like a cup open from the Top

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

Does anyone know how to do this

Julli [10]

Maria = x
Tom = y

Use substitution
x+y=30
2y=x

2y+y=30
3y=30
y=10
Tom is 10 years old.

x+y=30

x+10=30
x=20
Maria is 20 years old.

5 0

3 years ago

Read 2 more answers

(12 ÷ 3 + 6) -4 Math help

LekaFEV [45]

Answer:

Well, we have to remember that we must use PEMDAS, or the order of operations, to solve the expression.

Therefore, we must first either divide or multiply anything that is inside of the parentheses. (In this case divide)

$12/3=4$

$(4+6)-4$

Now solve what remains in the parentheses.

$4+6=10$

$10-4$

Finally, subtract 4 from 10 and get your answer:

4 0

3 years ago

Read 2 more answers

What is the sum of the polynomials? (9x4−13x3−x−7)+(7x3−2x+1) A.) −6x^6+9x^4−3x^2−6 B.)−6x^6+9x^4−x−8 C.)9x^4−6x^3−x−8 D.)9x^4−6

irinina [24]

(9x^4-13x^3-x-7)+(7x^3-2x+1)=
9x^4-13x^3-x-7+7x^3-2x+1=
9x^4+(-13+7)x^3+(-1-2)x-7+1=
9x^4+(-6)x^3+(-3)x-6=
9x^4-6x^3-3x-6

Answer: Option D.)9x^4−6x^3−3x−6

5 0

3 years ago

Read 2 more answers

Prove that the expression A + B - C is equivalent to the expression C - B - A if A = 2x - 1, B = 3x + 1 and C = 5x.

zepelin [54]

Answer:

both are equal is 0

Step-by-step explanation:

After substituting, the answer is 0 to both

3 0

3 years ago