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grigory [225]
2 years ago
13

If f(x) = 2x2 + 2 and g(x) = x2 - 1, find (f - g)(x)I

Mathematics
1 answer:
erastovalidia [21]2 years ago
4 0

9514 1404 393

Answer:

  C. x^2 + 3

Step-by-step explanation:

Substitute for f(x) and g(x) and simplify.

  (f -g)(x) = f(x) -g(x)

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

  (f -g)(x) = x^2 +3

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At lunch, Darius ordered a slice of pizza for $2.75, French fries for $1.20, and a drink for $1.35. Sale tax was $0.37. If Dariu
Ulleksa [173]

Answer:

he gets 4.33 dollars back

Step-by-step explanation:

add 2.75+1.20+1.35+0.37= 5.67

10-5.67=4.33 $

8 0
2 years ago
Read 2 more answers
Consider the function y = -2-3cos (x+pi). What effect does the -2 have on the basic graph
Elenna [48]

ANSWER

-2 shift the graph of the basic function down by 2 units.

EXPLANATION

The given cosine function is:

y =  - 2 - 3 \cos(x + \pi)

This equation can be rewritten as:

y =  - 3 \cos(x + \pi)  +  - 2

We compare this to

y = a \cos(bx + c)  + d

The effect d has on the graph is that, it shifts the graph up by d units.

If d is negative the graph shifts down by d units.

Since d=-2, the graph will shift down by 2 units.

5 0
3 years ago
A January 2007 Gallup Poll question asked, "In general, do you think things have gotten better or gotten worse in this country i
Margaret [11]

Answer:

Qualitative variable

Step-by-step explanation:

The response is qualitative variable due to its possible categories. In short, the response can only be divided into categories and cannot be interpreted numerically in a meaningful way. Thus, response is a qualitative variable. Also, the categories involves ordering like better and worse etc so, the measurement of scale would be ordinal in this scenario.

4 0
3 years ago
Which pairs of rectangles are similar polygons?
Ganezh [65]

The pairs of rectangles are similar polygons; Option C and Option D.

<h3>What is a polygon?</h3>

A polygon is a closed figure made up of three or more line segments connected end to end.

Similar polygon beings their sides have equivalent ratios to each other.

Two polygons whose corresponding angles are congruent and the lengths of the corresponding sides are proportional.

C. 1.89/2.1 = 81/0.9 = 90

D. 120 / 24 = 60 / 12 = 5

Hence, Option C and Option D are similar polygons only.

Learn more about polygon here;

brainly.com/question/14422754

#SPJ1

7 0
1 year ago
The scores of five students on a quiz are 11, 21, 16, 7, and 10. Find the mean and median of the scores.
photoshop1234 [79]
Hello!

The mean is the average. To calculate it you add up all the numbers, and divide by how many numbers there were. So for example, if you had 1 and 3, you would add them and divide by two since there were two numbers. We will calculate the mean of this data set below.

(11+21+16+7+10)=65
65/5=13

The mean of the data set is 13.
---------------------------------------------------------------------------------------
Now we need to find the median. To do so we have to first order all of the numbers from least to greatest.

7,10,11,16,21

Now we have to find the number in the middle of the data set.

11 is our median. (Note that when calculating the median with an even number of data points, you will find the mean of the two center numbers)

I hope this helps!


4 0
3 years ago
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