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4 years ago

Which fractions are greater than -5/12

Mathematics

1 answer:

Margarita [4]4 years ago

8 0

I think the answer is C. But I'm not too sure what A even is??

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Help please I’m not good at rational functions.

GuDViN [60]

Answer:

See below.

Step-by-step explanation:

$\frac{6z^2-12z}{4z^2-16z+16} +\frac{3z}{z^2-z-2} \\\\$

First, factor the numerators and the denominators:

$=\frac{6z(z-2)}{4(z^2-4x+4)}+\frac{3z}{z^2-z-2}\\=\frac{6z(z-2)}{4(z-2)^2}+\frac{3z}{(z-2)(z+1)}\\=\frac{3z}{2(z-2)}+\frac{3z}{(z-2)(z+1)}$

Now, make the two denominators equivalent. To do this, we can multiply the first term by (z+1) and multiply the second term by 2. This will give us:

$(\frac{z+1}{z+1} )(\frac{3z}{2(z-2)})+(\frac{2}{2})(\frac{3z}{(z-2)(z+1)})\\=\frac{3z(z+1)}{2(z-2)(z+1)}+\frac{6z}{2(z-2)(z+1)} \\$

Now, combine them since they have a common denominator:

$=\frac{3z^2+3z+6z}{2(z-2)(z+1)}\\ =\frac{3z^2+9z}{2(z-2)(z+1)} \\=\frac{3z(z+3)}{2(z-2)(z+1)}$

This cannot be simplified further.

7 0

3 years ago

24 1/2 is equal to what decimal

bezimeni [28]

Answer:

24.5

Step-by-step explanation:

24 = 24

1/2 -->

convert to a decimal => 1 divided by 2

0.5

24+0.5 = 24.5

Hope this helps!

6 0

3 years ago

Carol jogged 1 3/4 miles on 5 days last week.She jogged 2 1/4 miles on 4 days this week.Was her total distance greater last week

elena55 [62]

Answer: Her total distance was greater this week.

Step-by-step explanation:

Carol jogged 1 3/4 miles on 5 days last week. Converting 1 3/4 miles to decimal, it becomes 1.75 miles. The total number of miles that she jogged last week is

5 × 1.75 = 8.75 miles

She jogged 2 1/4 miles on 4 days this week. Converting 2 1/4 miles to decimal, it becomes 2.25 miles. The total number of miles that she jogged this week is

4 × 2.25 = 9 miles

Since 9 miles is greater than 8 miles, then her total distance was greater this week.

6 0

4 years ago

Find the difference between (7,-1) and (-8,-9)

NARA [144]

$\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{7}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{-8}~,~\stackrel{y_2}{-9})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-8-7]^2+[-9-(-1)]^2}\implies d=\sqrt{(-8-7)^2+(-9+1)^2} \\\\\\ d=\sqrt{225+64}\implies d=\sqrt{289}\implies d=17$

3 0

3 years ago

Read 2 more answers

0.7x-y=4.22<br> 5-0.8x= 0.2y

Shtirlitz [24]

The solution of the set of equation is

x=6.217

y=0.132

<u>Step-by-step explanation:</u>

given the set of equations

0.7x-y=4.22(1)

5-0.8x=0.2y

-0.8x-0.2y=-5 (2)

multiply (1) and(2) by 10

7x-10y=42.2(3)

-8x-2y=-50(4)

solve (3) and (4) using elimination method

$(4)\times 5$

⇒-40x-10y=-250(5)

(5)-(3)

-47x=-292.2

x=6.217

substituting value of x in 3

we get y=0.132

6 0

4 years ago