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Basile [38]
3 years ago
15

Perform the indicated operation g(x)=-x-3 h(x) = x 2+X Find (goh) (x)​

Mathematics
2 answers:
ludmilkaskok [199]3 years ago
7 0

Answer:

Step-by-step explanation:

h(x) = x^2 + x

g(x^2 + x)

-(x^2 + x) - 3

-x^2 - x - 3

Klio2033 [76]3 years ago
6 0

Answer:

(g\circ h)(x)=-x^2-x-3

Step-by-step explanation:

So we have the two functions:

g(x)=-x-3\text{ and } h(x)=x^2+x

And we want to find:

(g\circ h)(x)

This is the same thing as:

=g(h(x))

So, substitute h(x) into g(x):

g(x)=-x-3\\g(h(x))=-(x^2+x)-3

Distribute the negative:

g(h(x))=-x^2-x-3

And we're done!

So:

(g\circ h)(x)=-x^2-x-3

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Select all of the potential solution(s) of the equation 2log5x = log54.
Vanyuwa [196]

Answer:

x = ±2

Step-by-step explanation:

A equation is given to us , which is ,

\longrightarrow 2log_5(x) = log_5 4

From <u>properties </u><u>of </u><u>logarithm </u>we know that ,

\longrightarrow alog\ m = log \ m^a

Applying this to LHS , we have ;

\longrightarrow log_5 x^2 = log_5 4

Now the bases of logarithm on LHS and RHS is same . On comparing , we have ;

\longrightarrow x^2 = 4

Put square root on both sides,

\longrightarrow x =\sqrt{4}

Simplify ,

\longrightarrow \underline{\underline{ x =\pm 2 }}

This is the required answer.

6 0
2 years ago
How many solutions 9x +2y =9 -3x + y=2
Tju [1.3M]

Answer:

4

Step-by-step explanatio

6 0
3 years ago
Camille stopped at the grocery store to buy milk. While at the store, she spotted cans of soup on sale for $2.25 each. If the mi
Mrrafil [7]
$2.25x+$3.50=$35

so, $35-$3.50=$31.50

Then you divide $31.50 by $2.25

That equals 14

So, x=14
8 0
3 years ago
Someone help please:
frozen [14]

Answer:

The sharing cone holds about 9 times more popcorn than the skinny cone.

Step-by-step explanation:

Cone volume:

V = \frac{\pi r^{2}h}{3}

r is the radius and h is the inches.

Skinny-size cone:

Radius is r, height h. So

V_{sk} = \frac{\pi r^{2}h}{3}

Sharing size:

Radius is now 3r. So

V_{sh} = \frac{\pi (3r)^{2}h}{3} = \frac{9\pi r^{2}h}{3} = 3\pi r^{2}h

How many times more popcorn?

r = \frac{V_{sh}}{V_{sk}} = \frac{3\pi r^{2}h}{\frac{\pi r^{2}h}{3}} = \frac{3*3\pi r^{2}h}{\pi r^{2}h} = 9

The sharing cone holds about 9 times more popcorn than the skinny cone.

6 0
3 years ago
Solve for x: |2x + 12| = 18
julsineya [31]
It can be x = 3 and x = -15
8 0
3 years ago
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