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2 years ago

What is the value of the expression below when z=3?

Mathematics

1 answer:

sashaice [31]2 years ago

5 0

Answer:

Step-by-step explanation:

10z^2 - 2z - 2 =

10(3)^2 - 2(3) - 2 =

10(9) - 2(3) - 2 =

90 - 6 - 2 = 82

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Please solve and explain. Photo attached

ss7ja [257]

$$\frac{(x+1)(x-3)}{x^{2}}$

Solution:

Given expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

To solve this expression:

$$\frac{\frac{36}{x^{2}}+\frac{36}{x}}{\frac{36}{x-3}}$

Apply the fraction rule: $$\frac{a}{\frac{b}{c}}=\frac{a \cdot c}{b}$

$$=\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}$

Let us solve $\frac{36}{x^{2}}+\frac{36}{x}$ .

Least common multiple of $x^{2}, x$ is $x^{2}$ .

Make the denominator same based on the LCM.

So that multiply and divide the 2nd term by x, we get

$$\frac{36}{x^{2}}+\frac{36}{x}=\frac{36}{x^{2}}+\frac{36 x}{x^{2}}$

$$=\frac{36+36 x}{x^{2}}$

Now, multiply by (x - 3).

$$\frac{36+36 x}{x^{2}}(x-3)= \frac{(36 x+36)(x-3)}{x^{2}}$

$$\frac{\left(\frac{36}{x^{2}}+\frac{36}{x}\right)(x-3)}{36}=\frac{\frac{(36 x+36)(x-3)}{x^{2}}}{36}$

Apply the fraction rule: $\frac{\frac{b}{c}}{a}=\frac{b}{c \cdot a}$

$$=\frac{(36x+36)(x-3)}{x^{2} \cdot 36}$

$$=\frac{36(x+1)(x-3)}{x^{2} \cdot 36}$

Cancel the common factor 36.

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

Hence the solution is $\frac{(x+1)(x-3)}{x^{2}}$ .

7 0

3 years ago

Oliver is not allowed to watch more than 4 hours of television a week. He watched his favorite show on Monday which was 1 hour l

Katarina [22]

Oliver can watch 1.5 more hours of TV this week.

8 0

3 years ago

Read 2 more answers

Luke went fishing and caught a trout that

Elden [556K]

Answer:

40 ounces

Step-by-step explanation:

a pound is 16 ounces so 2 and a half is 40 ounces

8 0

3 years ago

Need help with homework plz and thank u :)

olga2289 [7]

Answer:

For part a you need to factor. X to the power of 2 is 2x. when you add it its turns into 2x+10x+16=0

2x+10x=12x

12x+16 will be your final answer

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

It might be D but i dont know

FrozenT [24]

Answer:

I'm sorry I don't have answer but.

it's not C!

8 0

2 years ago