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3 years ago

4(-6)+y=10 can someone hellp

Mathematics

2 answers:

konstantin123 [22]3 years ago

8 0

Answer:

y = 34

Step-by-step explanation:

PEMDAS =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

Remember to follow PEMDAS. First, multiply -6 with 4:

-6 * 4 = -24

-24 + y = 10

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. Add 24 to both sides:

-24 (+24) + y = 10 (+24)

y = 10 + 24

y = 34

y = 34 is your answer.

Phoenix [80]3 years ago

7 0

Answer:

Step-by-step explanation:

$4\left(-6\right)+y=10\\\\\mathrm{Remove\:parentheses}:\quad \left(-a\right)=-a\\-4\times\:6+y=10\\\\\mathrm{Multiply\:the\:numbers:}\:4\times\:6=24\\-24+y=10\\\\\mathrm{Add\:}24\mathrm{\:to\:both\:sides}\\-24+y+24=10+24\\\\Simplify \\y=34$

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3 years ago

Given the Production Function Q = 72X + 15X 2 - X 3 , where Q =Output and X=Input (5 marks) a) What is the Marginal Product (MP)

rusak2 [61]

Answer:

a.) Marginal Product (MP) = 120

b.) Average Product = 126

c.) At x = 12, the output is maximum.

d.) After 5 levels of inputs diminishing returns set in.

Step-by-step explanation:

Given that,

Q = 72x + 15x² - x³

a.)

Marginal Product is equal to

$\frac{dQ}{dx} = 72 + 30x - 3x^{2}$

At x = 8

MP = 72 + 30(8) - 3(8)²

= 72 + 240 - 192

= 120

∴ we get

Marginal Product (MP) = 120

b.)

Average Product is equals to

= $\frac{Q}{x}$

= 72 + 15x - x²

At x = 6

Average Product = 72 + 15(6) - 6²

= 72 + 90 - 36

= 126

∴ we get

Average Product = 126

c.)

For Maximizing Q,

Put $\frac{dQ}{dx} = 0$

⇒72 + 30x - 3x² = 0

⇒24 + 10x - x² = 0

⇒x² - 10x - 24 = 0

⇒x² - 12x + 2x - 24 = 0

⇒x(x - 12) + 2(x - 12) = 0

⇒(x + 2)(x - 12) = 0

⇒x = -2, 12

As items can not be negative

∴ we get

At x = 12, the output is maximum.

d.)

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For Diminishing Return

$\frac{d(MP)}{dx} = \frac{d^{2}Q}{dx^{2} } < 0$

⇒30 - 6x < 0

⇒-6x < -30

⇒6x > 30

⇒x > 5

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3 years ago

How many cubes with side lengths of 1/3 cm does it take to fill the prism?

user100 [1]

Answer:

The number of cubes that fill the prism is 24

Step-by-step explanation:

Given as :

The length of cube (l) = $\frac{1}{3}$ cm

The length of prism (L) = 1 cm

The width of prism (w) = 2 $\frac{2}{3}$ = $\frac{8}{3}$ cm

The height of prism (h) = $\frac{2}{3}$ cm

Let the number of cubes that fill the prism = x

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Or, Volume of cube with length (l) = $(\frac{1}{3})^{3}$ cm³

Or, Volume of cube with length (l) = $(\frac{1}{27})$ cm³

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Or, Volume of prism = $\frac{1}{2}\times 1 \times \frac{8}{3} \times \frac{2}{3}$

Or, Volume of prism = $(\frac{8}{9})$ cm³

<u>So , The number of cubes to fill prism </u>

The number of cubes × Volume of cube = Volume of prism

Or, x × $(\frac{1}{27})$ cm³ = $(\frac{8}{9})$ cm³

or x = $\frac{8\times 27}{9}$ = 24

Hence The number of cubes which fill the prism is 24 Answer

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