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2 years ago

Simplify -3 1/2 - (-12 1/4)

Mathematics

2 answers:

bekas [8.4K]2 years ago

7 0

Your answer is that last one 8 3/4

lara31 [8.8K]2 years ago

4 0

It would be the last one (8 3/4)
This is because you have to convert the mixed numbers to improper fractions and then find the LCM (which is 4). Then Adjust the fractions based on the LCM to get your answer

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What is the sign of f on the interval -2

TEA [102]

Answer:

$f$ is sometimes positive and sometimes negative.

Step-by-step explanation:

$f(x)=(x-3)(x+2)(x+4)(x+4)(x-1)(2x-9)$

Take $x=-1\in(-2,\frac{9}{2})\ as-2$

$f(-1)=(-1-3)(-1+2)(-1+4)(-1-1)(-2-9)\\\\=(-4)(1)(3)(-2)(-11)\\\\=-264\\\\f(-1)$

Take $x=2\in(-2,\frac{9}{2})\ as\ -2$

$f(2)=(2,-3)(2+2)(2+4)(2-1)(2\times2-9)\\\\=(-1)(4)(6)(1)(-5)\\\\=120\\\\f(2)>0$

Hence $f(x)$ for $x=-1$ and $f(x)>0$ for $x=2$

So $f$ is sometimes positive and sometimes negative in the interval.

3 0

2 years ago

14) Rounded to the nearest whole number, the square

Katen [24]

Answer:

3934

Step-by-step explanation:

Round 15,479,652 and find square root.

4 0

2 years ago

If MN = x+4 and DE = 3x-2, find x. (More info in pic)

algol [13]

Answer: D) 10

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Explanation:

I'm assuming points M and N are midpoints of segments FD and FE respectively. If that's the case, then segment DE is twice as long compared to segment MN. We consider MN to be a midsegment.

So,

DE = 2*(MN)

3x-2 = 2*(x+4)

3x-2 = 2x+8

3x-2x = 8+2

x = 10

6 0

1 year ago

How do I solve 48x-36x=-144

sasho [114]

$48x-36x=-144\\\\12x=-144\ \ \ \ \ \ \ \ |divide\ both\ sides\ by\ 12\\\\\boxed{x=-12}$