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Pavel [41]
3 years ago
12

F f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

Mathematics
2 answers:
Oliga [24]3 years ago
6 0
<h2>Subtracting Functions</h2><h3>Answer:</h3>

6(3) -4 +3^2

<h3>Step-by-step explanation:</h3>

Given:

f(x) = 4 -x^2

g(x) = 6x

Before we find the expression of (g -f)(3), we must first know how (g -f)(x) is defined.

(g -f)(x) = g(x) -f(x) \\ (g -f)(x) = 6x -(4 -x^2) \\ (g -f)(x) = 6x +x^2 -4 \\ (g -f)(x) = x^2 +6x -4

Now we can find (g -f)(x).

(g -f)(3) = (3)^2 +6(3) -4

Juli2301 [7.4K]3 years ago
3 0

sana makatulong pooooo

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Igoryamba

Answer:

Their slope is the same. Perpendicular

Step-by-step explanation:

3x + 4y = 12

4y=12-3x

y=-3/4x+3

6x + 8y = 48

8y=48-6x

y=-3/4+6

     

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50 points, brainIiest, 5 stars, and a thanks. please help me :(
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10

Step-by-step explanation:

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Luis is shopping for gifts. Mugs are on sale for $4 off the regular price,p. Luis vuys 6 muga. H epays $54. What is the regular
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13

Step-by-step explanation:

Divide the total amount he paid by the amount of mugs he bought to find out how much each mug cost.

54 ÷ 6 = $9

Each mug is nine dollars, INCLUDING THE SALE which is $4 off.

Add $4 to $9 to find the regular price

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6 0
3 years ago
State the x- and y-intercepts for the given<br> function. Then graph the function<br> 3x + 2y = 6
gogolik [260]

Answer:

x-intercepts: (2,0)

y-intercepts: (0,3)

Step-by-step explanation:

8 0
3 years ago
What percentage of the general U.S. population have bachelor's degrees? The Statistical Abstract of the United States, 120th Edi
Bess [88]

Answer:

a) Figure attached

b) Q_1 = \frac{22+22}{2}= 22

Q_3 = \frac{27+27}{2}= 27

IQR = Q_3 -Q_1= 27-22 =5

c) between the median and Q3

Step-by-step explanation:

For this case we have the following data:

17 18 18 18 19 20 20 20 21 21 21 21 22 22 22 22 22 22 23 23 24 24 24 24 24 24 24 24 25 26 26 26 26 26 26 27 27 27 27 27 28 28 29 31 31 32 32 34 35 38

Part a

We can construct the boxplot with the following R code:

> x<-c(17, 18, 18, 18, 19, 20, 20, 20, 21 ,21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 29, 31, 31, 32, 32, 34, 35, 38)

> boxplot(x,main="Boxplot of data")

> summary(x)

  Min. 1st Qu.  Median    Mean 3rd Qu.    Max.  

 17.00   22.00   24.00   24.76   27.00   38.00

The results are on the figure attached.

The mean >Median so then we can conclude that the distribution is slightly skewed to the right.

Part b

For this case since we have 50 data values in order to find the the Q1 we use the following values 17, 18, 18, 18, 19, 20, 20, 20, 21 ,21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 24, 24, 24, 24, 24, 24

And the Q1 would be the average between position 13 and 14 and we got:

Q_1 = \frac{22+22}{2}= 22

For the Q3 we need to use the following data values: 24, 24, 24, 24, 25, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 28, 28, 29, 31, 31, 32, 32, 34, 35, 38

And the Q3 would be the average between position 13 and 14 and we got:

Q_3 = \frac{27+27}{2}= 27

So then IQR = Q_3 -Q_1= 27-22 =5

Part c

For this case we have a value of 26 and if we see this value is between the meadian and Q3 since the median = 24 and Q3 = 27

between the median and Q3

4 0
4 years ago
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