F(x) = 3x + 9, g(x) = 5x2

Find (f + g)(x).

Answers

Answer 1
Answer: (f-g)(x) is a shorthand way of saying that you need to get the difference of the two functions: f(x) and g(x). so essentially, (f-g)(x) = f(x) - g(x) = 5x+2 - (-3x+4) = 8x-2 (f/g)(-2) = f(-2)/g(-2) = -4/5 or -0.8 Hope this helps.

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Find the missing term and the missing coefficient. 6a − ( )5a = ( )a2 − 35a

Answers

Answer:

The coefficient ( ) of 5a is filled by (41)/(5) and  the coefficient ( ) of a² is filled by ' 0 '

Step-by-step explanation:

The given expression is 6a - ( )5a = ( )a² - 35a

To find the missing coefficient, compare the left and right side of expression,

First compare the 6a - ( )5a = - 35a

6a+35a =  ( )5a

41a =  ( )5a

divide both the sides by 5a,

(41)/(5)=( )

(41)/(5)=( )

The coefficient ( ) of 5a is filled by (41)/(5)

Now, compare 0 =  ( )a²

So, the coefficient ( ) of a² is filled by ' 0 '

Hence, The coefficient ( ) of 5a is filled by (41)/(5) and  the coefficient ( ) of a² is filled by ' 0 '

(6a-7)5a=30a2-35a is the answer

What is the area of the following trapezoid 210 280 420 140

Answers

Answer:

Step-by-step explanation:

A=  a+b/2 h (area = a +b over 2 times H) plug in your numbers

I dont have a picture, if i did i could solve it, but here is the formula

     

resturant sales totaled 38676 for a week your customer count was 7325 what did the average customer spend for the week

Answers

To answer this question, you need to divide 38676 by 7325 to find out how much each customer spent on average. 38676 divided by 7325 is 5.28. Each customer spent an average of $5.28.

1/3(9x-24) x simplify the expression

Answers

I hope this helps you



1/3 (9x-24)


1/3.9x-1/3.24


3x-8

which of the following is not an example of a graph of a single variable? a. a pie chart b. a bar graph c. a time-series graph

Answers

I think the answer would be a bad graph

Find the coordinates of the points of intersection of the graphs without building them: 5x–4y=16 and x–2y=6

Answers

we have that
equation 1
5x–4y=16
and
equation 2
x–2y=6

we know that

Part A) the x-intercept is when y=0
equation 1
5x–4y=16
for y=0
5x=16--------> x=16/5---> x=3.2
the point is (3.2,0)

equation 2
x–2y=6
for y=0
x=6
the point is (6,0)

Part B) the y-intercept is when x=0
equation 1
5x–4y=16
for x=0
-4y=16-------> y=-4
the point is (0,-4)

equation 2
x–2y=6
for x=0
-2y=6------> y=-3
the point is (0,-3)

the answer is
the coordinates of the points of intersection are
equation 1
5x–4y=16
(3.2,0)  and (0,-4)

equation 2
x–2y=6
(6,0) and (0,-3)

Final answer:

To find the coordinates of the points of intersection of two graphs without building them, solve the given system of equations. The coordinates of the points of intersection of the graphs 5x - 4y = 16 and x - 2y = 6 are approximately (-8.67, -2.33).

Explanation:

To find the coordinates of the points of intersection of the graphs without building them, we can solve the given system of equations: 5x - 4y = 16 and x - 2y = 6.

Step 1: We can solve the second equation for x: x = 6 + 2y.

Step 2: Substitute the value of x from Step 1 into the first equation: 5(6 + 2y) - 4y = 16.

Step 3: Simplify and solve for y: 30 + 10y - 4y = 16. Combine like terms: 6y = -14. Divide by 6: y = -7/3.

Step 4: Substitute the value of y from Step 3 into the second equation to find x: x - 2(-7/3) = 6. Simplify: x + 14/3 = 6. Subtract 14/3 from both sides: x = -26/3.

Therefore, the coordinates of the points of intersection are (-26/3, -7/3) or approximately (-8.67, -2.33).

Learn more about Graphs and Equations here:

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