(3a +7)² – 5a(a-4) ..... Help

Mathematics

1 answer:

sattari [20]3 years ago

5 0

Answer:

4a²+62a+49

Step-by-step explanation:

since (a+b)^2= a^2+2ab+b^2

(3a +7)² – 5a(a-4)

simplify the equation first

9a²+42a+49-5a²+20a

= 4a²+62a+49

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notsponge [240]

Answer:

Step-by-step explanation:

By the Pythagorean theorem:

$18^2+24^2=x^2$

Therefore, answer choice D is correct. Hope this helps!

8 0

4 years ago

Let f(x) = x2 – 16 and g(x) = x + 4. Find fg f g and its domain.

Marta_Voda [28]

Answer: fg $=x^3+4x^2-16x-64$ and

Domain: All real number. All real number or $(-\infty,\infty)$

Explanation:

fg means product of two given function f(x) and g(x)

where,

$f(x)=x^2-16$ and $g(x)=x+4$

Now, we have to find fg

So, fg= $f(x)\times g(x)$

Substitute f(x) and f(x)

$\Rightarrow (x^2-16)(x+4)$

Using distributive property simplify above expression and we get,

$\Rightarrow x^3+4x^2-16x-64$

We can see it is cubic polynomial. So, domain of cubic polynomial is all real number.

Domain: All real number or $(-\infty,\infty)$

6 0

3 years ago

Read 2 more answers

A bowling alley has a fixed base cost and charges a variable per game rate. It costs $20.50 for five games and 28.50 for nine ga

lbvjy [14]

As ordered pairs ( g , C ) where g is the number of games and C is the cost

( 5, 20.50) and ( 9, 28.50)

the slope M = ( 28.50 - 20.50 ) / (9-5)

= 8/4

= 2

So the slope M=$2 per game

Using (5, 20.50)
The intercept B = y - m* g
= 20.50 - 2 * 5
= 20.50 - 10
= 10.50

So the fixed base cost, or FLAT RATE is $10.50.
That is if they played ZER0 games, they still have
to pay $10.50 just to get in.

The linear function is C (g) = 2*g + 10.50