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Kaylis [27]
4 years ago
6

HELP! LOOK AT THE IMAGES BELOW

Mathematics
1 answer:
sineoko [7]4 years ago
5 0

Answer:

(g+f)(x)=(2^x+x-3)^(1/2)

Step-by-step explanation:

Given  

f(x)= 2^(x/2)

And

g(x)= √(x-3)

We have to find (g+f)(x)

In order to find (g+f)(x), both the functions are added and simplified.

So,

(g+f)(x)= √(x-3)+2^(x/2)  

The power x/2 can be written as a product of x*(1/2)

(g+f)(x)= √(x-3)+(2)^(1/2*x)

We also know that square root dissolves into power ½

(g+f)(x)=(x-3)^(1/2)+(2)^(1/2*x)

We can see that power ½ is common in both functions so taking it out

(g+f)(x)=(x-3+2^x)^(1/2)

Arranging the terms

(g+f)(x)=(2^x+x-3)^(1/2)  ..

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A line has a slope of 9 and a y-intercept of 2. What is its equation in slope-intercept form?
kakasveta [241]

Answer:

y=9x+2

Step-by-step explanation:

The standard form for a linear equation is y=mx+b. m=9 since it is slope and b=2 which is the y intercept. So the equation would be y=9x+2.

8 0
3 years ago
What two-dimensional figure will result from slicing this rectangular prism parallel to its base?
alina1380 [7]

Answer:

We will obtain a rectangle on slicing this rectangular prism parallel to it's base.

Hence, option 1) is true.

RECTANGLE.

Step-by-step explanation:

On slicing this geometrical figure; which is a rectangular prism parallel to it's base then we will obtain a figure similar to it's base of the same dimensions as it's base.

As the base of the rectangular prism is a rectangle so on slicing this 3-dimensional figure parallel to it's base we will obtain rectangles.

Hence, option 1 is true.

RECTANGLE.

8 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br> Convert 40 miles to km
k0ka [10]

Answer:

64.3738

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Factor completely 2x2 − 6x − 36.
gavmur [86]
To factor out completely, we should have reached the most simplified form,
first we should take out 2.
2(x2 - 3x - 18)
then we should factor out the inside of the parenthesis,
2(x - 6)(x + 3)
And that's the most simplified and factored out form.

The final answer is then the second option, <span>2(x − 6)(x + 3)</span>
4 0
3 years ago
What does simplify the expression mean in algebra?
Pavel [41]
Reduce the number of terms in the expression by operating on like terms 
for example
Simplify
x^2 - 3x + 4 + x^2 + 6x - 6

the like terms are the x^2 and x^2 , -3x and 6x and  4 and -6 

so we have
x^2 + x^2 - 3x + 6x + 4 - 6
= 2x^2 + 3x - 2

This is the simplified form of the original expression
5 0
3 years ago
Read 2 more answers
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