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3 years ago

Simplify the fraction 4\12 i need to show my work plz

Mathematics

1 answer:

Harrizon [31]3 years ago

5 0

Answer:

1/3

Step-by-step explanation:

4/12 find greatest common factor with is 4

divide both by 4

4 divide by 4 equals 1

12 divided by 4 equals 3

so is 1 over 3

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60/6=10
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30 days. Hope this helps :)

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3 years ago

Rewrite the equivalent addition expression and evaluate.

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3 years ago

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In the function f(x) = 5(x2 − 4x + ____) + 15, what number belongs in the blank to complete the square?

Georgia [21]

If you would like to find the number which belongs in the blank to complete the square, you can calculate this using the following steps:

f(x) = 5(x^2 - 4x + a) + 15
a ... the number = ?

<span>x^2 - 4x + a = (x - 2)^2 = x^2 - 4x + 4
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The correct result would be 4.

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3 years ago

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Can someone help me solve this differentiation/tangent problem?

nirvana33 [79]

A)

$\bf g'(x)=\stackrel{product~rule}{2x\cdot f(x)+x^2\cdot f'(x)}\quad 
\begin{cases}
x=5\\
f(5)=5\\
f'(5)=5
\end{cases}
\\\\\\
g'(5)=2(5)\cdot f(5)+(5)^2\cdot f'(5)\implies g'(5)=50+500\\\\\\ g'(5)=550\\\\
-------------------------------\\\\
g(5)=(5)^2f(5)\implies g(5)=125
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}
\begin{cases}
x=5\\
y=125\\
\stackrel{m}{g'(5)}=550
\end{cases}\implies y-125=550(x-5)
\\\\\\
y-125=550x-2750\implies y=550x+400$

b)

$\bf h'(x)=\stackrel{quotient~rule}{\cfrac{f'(x)(x-6)~~-~~f(x)\cdot 1}{(x-6)^2}}\quad 
\begin{cases}
x=5\\
f(5)=5\\
f'(5)=5
\end{cases}
\\\\\\
h'(5)=\cfrac{f'(5)(5-6)~~-~~f(5)\cdot 1}{(5-6)^2}
\\\\\\
h'(5)=\cfrac{5(-1)-5}{(-1)^2}\implies h'(5)=-10\\\\
-------------------------------\\\\$

$\bf h(5)=\cfrac{f(5)}{5-6}\implies h(5)=\cfrac{5}{-1}\implies h(5)=-5
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\quad 
\begin{cases}
x=5\\
y=-5\\
\stackrel{m}{-10}
\end{cases}\implies y-(-5)=-10(x-5)
\\\\\\
y+5=-10x+50\implies y=-10x+45$

3 0

4 years ago

A sandwich shop serves 4 ounces of meat and 3 ounces of cheese on each sandwich. After making sandwiches for an hour, the shop o

FromTheMoon [43]

Answer:

Step-by-step explanation:

Given : For each sandwich:

Quantity of meat used = 4 ounces

Quantity of cheese used = 3 ounces

The combined ounces of meat and cheese are used on each sandwich =

Quantity of meat used + Quantity of cheese used

= 4 ounces + 3 ounces

= 7 ounces

Hence, The combined ounces of meat and cheese are used on each sandwich = 7 ounces

8 0

3 years ago