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stiv31 [10]
3 years ago
12

Given g(x)=x^2 and h(x)= x-3 find (g ∘ h)(x)

Mathematics
1 answer:
DerKrebs [107]3 years ago
5 0

Answer:

<h2>(g ∘ h)(x) = x² - 6x + 9</h2>

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

<h3>(g ∘ h)(x) = x² - 6x + 9</h3>

Hope this helps you

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Three glasses of milk and 4 snack bars have a total of 89 carbohydrates​ (carbs), and 4 glasses of milk and 3 snack bars have a
EleoNora [17]

Answer:

There are  15 carbs in each glass of milk and  11 carbs in each snack bar.

Step-by-step explanation:

Let us assume:

The carbs in  each glass of milk  = x

The carbs in each snack bar = y

So, the carbs in 3 glass of milk = 3 ( Carbs in 1 glass of milk )  = 3 x

and the carbs in 4 snack bars  = 4 ( Carbs in 1 snack bar)  = 4 y

⇒ 3 x + 4 y = 89

Similarly, the carbs in 4 glass of milk = 4 ( Carbs in 1 glass of milk )  = 4 x

and the carbs in 3 snack bars  = 3 ( Carbs in 1 snack bar)  = 3 y

⇒ 4 x + 3 y = 93

Solving the given system of equation:

3 x + 4 y = 89     ............(1)

4 x + 3 y = 93    ............. (2)

Multiply equation (1) with (-4) , and (2) by 3 and add both equation.

-12 x - 16 y + 12 x + 9 y = -356 + 279

or, - 7 y = -77

⇒ y =  77 / 7 = 11 , or y  =   11

Putting this in (1) , we get  3 x  + 4y = 89

⇒ 3 x  + 4(11) = 89  or,  3 x =  89 - 44 = 45

or, x = 45/3  = 15

⇒ x = 15

Hence, there are  15 carbs in each glass of milk.

There are  11 carbs in each snack bar.

4 0
3 years ago
Given the function g(x) = 6^x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Ad libitum [116K]
Section A and B
\frac{36 - 6}{2 - 1}  = 30 \\  \frac{1296 - 216}{4 - 3}  = 1080
7 0
3 years ago
NEED HELP ASAP
Mkey [24]

Answer:

Option: A is correct.

A) a part of a line that has one endpoint and extends indefinitely in one direction

Step-by-step explanation:

" A ray is a line that starts at a given point and goes off for ever in some direction. It may pass through another point as it does so "

Hence, option A is correct.

( The definition of Ray is:

A) a part of a line that has one endpoint and extends indefinitely in one direction )

4 0
3 years ago
Ayudaaa plis<br>7-4= <br>6-2=<br>-3-2=<br>-8+9=<br>-9+5=<br>1+10=​
vladimir2022 [97]

Answer:

7-4=3

6-2=4

-3-2= -5

-8+9=1

-9+5= -4

1+10=11

Step-by-step explanation:

No es tan difícil, puedes g0oglearlo

6 0
2 years ago
Read 2 more answers
What is the equation of the graphed line written in standard form?
Masja [62]

First you'll find the equation of the graphed line in slope-intercept form, y = mx+b, and then from there we'll convert it into standard form, ax+by = c.

To find the slope of the line you could either use the two points on the line or just look and see.

Start from the point farther down, the point on (5,0). Look and see how many units it takes to go up/down to where the point on (0,3) is.

If it goes up, then you are at a positive slope so far. If it goes down, then you are at a negative slope so far. It takes 3 units UP (positive) to go onto the line that (0,3) is on.

Now see how far does it take to go left/right to where the point on (0,3) is. If you have to go left, that means you have a negative; if it goes right then you have a positive. It takes 5 units LEFT (negative) to where (0,3) is.

A positive (up) and a negative (left) make a negative, so your slope is how many units it took to go vertically/how many units it took to go horizontally.

Your slope is -3/5.

Now to solve for b, or the y-intercept, you can look on the graph to see where the point lies on the y-axis (vertical). The point lies on 3 on the y-axis, so your y-intercept is 3.

Since you have the slope and can see the y-intercept of the graphed line, you can make the equation y = mx+b by plugging in -3/5 for the slope and plugging in 3 for b (y-intercept).

y = (-3/5)x+(3)

Remove the parentheses: y = -3/5x+3.

Now to convert from slope-intercept form into standard form, you will have to move everything to the left side and leave only b, or 3.

Add -3/5x to both sides.

3/5x+y = 3

You can't have a fraction in standard form, so multiply everything in the equation by 5.

3x+5y = 15

Answer is:

C. 3x+5y = 15

7 0
3 years ago
Read 2 more answers
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