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2 years ago

What’s the answer but you also have to simplify

Mathematics

1 answer:

Jlenok [28]2 years ago

6 0

Answer:

The answer is 9x² + 3x - 2.

Step-by-step explanation:

1) Collect like terms.

$(7x^{2} + {2x}^{2} ) + ( - 2x + 5x) + (8 - 10)$

2) Simplify.

${9x}^{2} + 3x - 2$

Therefor, the answer is 9x² + 3x - 2.

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What is equivalent to the expression 9(z-6)

Liono4ka [1.6K]

Using the distributive property an equivalent expression would be 9z-54

6 0

3 years ago

Read 2 more answers

A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the

Stells [14]

Answer:

$\frac{5}{3}$ in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box= $L\times B\times H$

Substitute the values then we get

Volume of box=V(x)= $(8-2x)(15-2x)x=(15x-2x^2)(8-2x)$

$V(x)=120x-30x^2-16x^2+4x^3$

$V(x)=4x^3-46x^2+120x$

Differentiate w.r.t x

$V'(x)=12x^2-92x+120$

$V'(x)=0$

$12x^2-92x+120=0$

$3x^2-23x+30=0$

$3x^2-18x-5x+30=0$

$3x(x-6)-5(x-6)=0$

$(x-6)(3x-5)=0$

$x-6=0\implies x=6$

$3x-5=0\implies x=\frac{5}{3}$

Again differentiate w.r.t x

$V''(x)=24x-92$

Substitute x=6

$V''(6)=24(6)-92=52>0$

Substitute x=5/3

$V''(5/3)=24(5/3)-92=-52$

Hence, the volume is maximum at x= $\frac{5}{3}$

Therefore, the side of the square , $x=\frac{5}{3}$ in cutout that gives the box the largest possible volume.

5 0

2 years ago

PLEASE HELP! I will award brainliest to the most helpful answer. I need an in depth explanation, not just the answer. How do you

Svetradugi [14.3K]

Answer:

y ≤ -4x+25

Step-by-step explanation:

First we need to figure out the equation for the line

The y intercept is 25

Next figure out the slope

slope = (y2-y1)/((x2-x1)

= (49-25)/(-6-0)

= 24/-6

= -4

The equation for a line in slope intercept form is y = mx+b

y = -4x+25

This is a solid line so our inequality will have an equals in it.

It is shaded below, so y is less than.

If it was shaded above, y would be greater than

y ≤ -4x+25

8 0

2 years ago

Johnny has 4 cups of hot cocoa the instructions tell him to add 1 pint of water for every 2 pints of cordial how much water shou

aivan3 [116]

Answer:

1 pint

Step-by-step explanation:

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2 years ago

Plz answer this i need help!!!!! The options are Multiply and Divide

Gelneren [198K]

Answer:

you multiply the circumference by the radius squared

Ex.) (c= circumference)

c=3.14x2r

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2 years ago