MATHEMATICS HIGH SCHOOL

Still confusing to me!!!!

Answers

Answer 1

Answer:

Answer:

(a) 2(x -a)

(b) 4x +2h

Step-by-step explanation:

Fill in the function arguments and simplify.

$(f(x)-f(a))/(x-a)=((2x^2-7)-(2a^2-7))/(x-a)\n\n=(2x^2-7-2a^2+7)/(x-a)=(2(x^2-a^2))/(x-a)\n\n=(2(x-a)(x+a))/((x-a))=2(x+a)$

$(f(x+h)-f(x))/(h)=((2(x+h)^2-7)-(2x^2-7))/(h)\n\n=(2x^2+4xh+2h^2-7-2x^2+7)/(h)=(4xh+2h^2)/(h)\n\n=4x+2h$

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What is the difference between 5√3 and √27

Answers

Answer:

2√3

Step-by-step explanation:

5√3 - √27

= 5√3 - √9√3

= 5√3 - 3√3

=2√3

Evaluate: f(x) = -2x + 6 for x = 10.

Answers

Answer:

Step-by-step explanation:

f(10) = -2(10) + 6 = -20 + 6 = -14

Answer:

f=- $(x)/(5)$ + $(3)/(5)$

Step-by-step explanation:

-1/2x+3=-x+7 what does x equal

Answers

Answer:

x = 8

Step-by-step explanation:

-1/2x+3=-x+7

Add x to each side

-1/2x+x+3=-x+x+7

1/2x +3 = 7

Subtract 3 from each side

1/2x +3-3 = 7-3

1/2x = 4

Multiply each side by 2

1/2x *2 = 4*2

x = 8

What is the difference in simplest form? (n^2+10n+21/n^2+3n-28)-(3n/n-4)

Answers

Answer:

$(3-2n)/(n-4)$

Step-by-step explanation:

We have been given the expression

$(n^2+10n+21)/(n^2+3n-28)-(3n)/(n-4)$

Let us write the numerator and denominator of first expression in factored form using AC method.

$n^2+10n+21\n=n^2+7n+3n+21\nn(n+7)+3(n+7)\n(n+7)(n+3)$

And the factors of denominator is

$n^2+3n-28\n=n^2+7n-4n-28\nn(n+7)-4(n+7)\n(n+7)(n-4)$

Therefore, the expression becomes

$((n+7)(n+3))/((n+7)(n-4))-(3n)/(n-4)\n\n\text{Cancel the common terms}\n\n(n+3)/(n-4)-(3n)/(n-4)\n\n\text{Denominator of both rational expression is same}\n\text{hence, we can directly add the numerators}\n\n(n+3-3n)/(n-4)\n\n(3-2n)/(n-4)$

Thus, the simplified form is $(3-2n)/(n-4)$

The answer is $(-2n+3)/(n-4)$

Simplify the expression. Show your work.

22 + (3^2 – 4^2)

Answers

22+9−4^2
22+9−16
22+−7
Answer:
15

What is 30 minutes as a percentage of an hour?

Answers

30 minutes is half of an hour so it would be 50%.

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