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iragen [17]
3 years ago
8

Find the function and simplify the function rule. f(x) = 5x + 1 g(x) = 3x - 4 (f+g)(x) =

Mathematics
1 answer:
IRISSAK [1]3 years ago
4 0

Answer:

( f + g )( x ) = 8x - 3

Step-by-step explanation:

What this is saying is to add the two functions together.

( 5x+1 ) + ( 3x - 4 )

( f + g )( x ) = 8x - 3 is the simplified version.

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Draw the graphs of the pair of linear equations : x + 2y = 5 and 2x - 3y = -4 Also find the points where the lines meet the x -
aliina [53]

Answer:

(1, 2)

Step-by-step explanation:

Given the equation of the lines x + 2y = 5 and 2x - 3y = -4

First we need to make x the subject of the formulas

For x+2y = 5

x = 5 - 2y ... 1

For 2x - 3y = -4

2x = -4+3y

x = (-4+3y)/2 ... 2

Equate 1 and 2

5 - 2y =  (-4+3y)/2

2(5-2y) = -4+3y

10 - 4y = -4+3y

-4 -3y = -4-10

-7y = -14

y = 14/7

y = 2

Substitute y = 2 into 1

x = 5 = 2y

x = 5 - 2(2)

x = 5 - 4

x = 1

Hence the point where the lines meet will be at (1, 2)

6 0
3 years ago
How do you simplify this expression step by step?
nataly862011 [7]

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\bf \cfrac{1-sin^2(\theta )}{sin(\theta )}\cdot \cfrac{1}{cos(\theta )}\implies \cfrac{\stackrel{cos(\theta )}{\begin{matrix} cos^2(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}} }{sin(\theta )}\cdot \cfrac{1}{\begin{matrix} cos(\theta ) \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix} }\implies \cfrac{cos(\theta )}{sin(\theta )}\implies cot(\theta )

5 0
3 years ago
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I need this one answered too, I'm not very good at fractions...
gizmo_the_mogwai [7]

b is correct! good job :)

4 0
3 years ago
On greenfields chicken farm, 5/6 of the eggs usually hatch. This year only 2/3 as many hatched. What fraction of the total eggs
Maslowich
The answer is 2/3 :)

4 0
3 years ago
Read 2 more answers
Help on the last three please
mylen [45]
What three? there is no picture
3 0
3 years ago
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