Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 1 x , f(x) − f(a) x − a

Answer:

2/6 and 4/12

Step-by-step explanation:

When you reduce both of these fractions, they come out to 1/3.

Dividing both terms of 2/6 by 2, the greatest common factor (GCF), would equal 1/3.

And dividing both terms of 4/12 by 4, which is the GCF in this case, would equal 1/3.

Answer:

7 1/5 cup strawberries

Step-by-step explanation:

put it as a ratio to make it easier

for every 1 pie, you need 4/5 of a cup

if you have 9 pies, you need 9 times 4/5 of a cup of strawberries

9 times 4/5 is 7 1/5

Answer:

D

Step-by-step explanation:

There is no repeated x

The required set of points is y a function of x is C.{(2, 1), (0, 1), (1, 0), (2, 1)}. Option C is correct.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

A function is a set of ordered pairs where each value of x has only one corresponding value of y. In other words, for a function, there can be only one value of y for each value of x.

So, among the sets of points given, set D, A, and C is not a function of x because the value x=1 has two corresponding values of y.

Therefore, the set of points in which y is a function of x is set C.{(2, 1), (0, 1), (1, 0), (2, 1)} because, for each value of x, there is only one corresponding value of y.

Learn more about sets here:
https://brainly.com/question/8053622
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Step-by-step explanation:

largest to smallest

Answer:

subtracting 7 to first and adding 2 to next

Answer:

d. x = 45°, y = 13.1√2

Step-by-step explanation:

Due to it being a square, each corner is 90°. The angle bisector splits the square into two triangles. These triangles are 45° 45° 90° triangles.

Half of 90° is 45°, therefore x = 45°.

When you have a 45° 45° 90° triangle, the legs of the triangle will equal each other and the hypotenuse will be the side length multiplied by √2. Therefore, y = 13.1√2.

Answer:

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

Step-by-step explanation:

We are given that

(0,1024),(1,256),(2,64),(3,16)and(4,4)

From given data we assume an exponential function

[tex]f(x)=a^{b+x}[/tex]

where b and a are constant

[tex]f(0)=1024[/tex]

[tex]1024=a^b[/tex]...(1)

[tex]f(1)=256[/tex]

[tex]256=a^{b+1}[/tex]...(2)

Equation (1) divided by equation (2)

Then, we get

[tex]\frac{1024}{256}=\frac{a^{b}}{a^{b+1}}[/tex]

[tex]4=a^{-1}[/tex]

[tex]a=\frac{1}{4}[/tex]

Using the the value of a in equation (1)

[tex]1024=(\frac{1}{4})^{b}[/tex]

[tex]4^{5}=4^{-b}[/tex]

[tex]-b=5[/tex]

[tex]b=-5[/tex]

Therefore, the exponential  function

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

Answer:

-42

Step-by-step explanation:

Answer:

120 degrees

Step-by-step explanation:

Find the diagram attached.

From the diagram;

Interior angles are m∠BCA and m∠ABC

Exterior angle is m∠DAB

The sum of interior angle of the triangle is equal to exterior

m∠BCA +m∠ABC =m∠DAB

Given

m∠ABC = 70

m∠BCA =50

m∠DAB = 70 + 50

m∠DAB = 120 degrees

Hence the measure of m∠DAB is 120 degrees

Answer:

50.08 = 1252 / 25

Step-by-step explanation:

Answer:

The slope is 1/2.

Step-by-step explanation:

I hope this helps and I hope u have an Amazing day!

Answer:

Choice C should be the answer

Step-by-step explanation:

Because all of them adds up to 180 since it is a straight angle.

Answer:

3

Step-by-step explanation:

if you add 1/3+1/3+1/3 itll equal 3/3 or 1

Answer:

1/6

Step-by-step explanation:

There is only one side of the die with a number 4, and 6 possible outcomes. Therefore the answer is 1/6

Answer:

[tex]\displaystyle m=-3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 4)

Point (2, -2)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

[tex](0,4) \: \: \: \: (1,1)[/tex]

[tex]m = \frac{4- 1}{0- 1} \\ m = \frac{ 3}{ - 1} \\ m = - 3[/tex]

[tex] \large \boxed { - 3 }[/tex]

Answer:

In fall 2019, female students made up 57 percent of total undergraduate enrollment (9.4 million students), and male students made up 43 percent (7.1 million students). Enrollment patterns for female and male students exhibited similar trends between 2009 and 2019.

Step-by-step explanation:

Answer:

Step-by-step explanation:

oh boy

1) 9 < 16

2) -4 < 5

3) 18 > -19

4) -38 < -16

5) 6 > 4

6) -14 > -25

7) -45 > -55

8) -2 > -10

9) -4, -1, 1, 3, 6

10) -15, -13, -5, 8

11) -9, -6, -5, -1, 0

12) -4, -2, 1, 3

13) -10, -9, 7, 8, 11

14) -33, -25, -14, -4, 7

hope this helps <3

Answer:

a. The percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit =90.82%

b. Percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph= 2.28%

Step-by-step explanation:

We have to find

a) P(X>40)= 1- P(x=40)

Using the z statistic

Here

x= 40 mph

u= 44mph

σ= 3 mph

z=(40-44)/3=-1.33

From the  z-table   -1.67 = 0.9082

a) P(X>40)=

Probability exceeding the speed limit = 0.9082 = 90.82%

b) P(50<X<55)

Now

z1 = (50-44)/3 = 2

z2 = (55-44)/3= 3.67

Area for z>3.59 is almost equal to 1

From the z- table we get

P(55 < X < 60) = P((50-44)/3 < z < (55-44)/3)

     = P(2 < z < 3.67)

     = P(z<3.67) - P(z<2)

     = 1 - 0.9772

     = 0.0228

or 2.28%

Answer:

wala akong pake

Step-by-step explanation:

walaa ako paki

Answer: 18

Step-by-step explanation:

2r+12/n

Plug in the 3 and 7

2(7)+12/3

14+4

18

Hope that helps

Answer: A

why does this keep changing to C????

Step-by-step explanation:

10x5 since there are 50 girls

so we would need to multiply 12 by the same number, so the answer is 60.

Answer: 115 is the answer

Step-by-step explanation:

Answer:

8x - 16

Step-by-step explanation:

8(x−2)

=(8)(x+−2)

=(8)(x)+(8)(−2)

=8x−16

Answer:

6:4:9

Step-by-step explanation:

Answer:

6:4:9 Yw

Step-by-step explanation:

Answer:

It would be 30 more.

Step-by-step explanation:

14,593 - 14,563 = 30

Answer:

Two

Step-by-step explanation:

Most likely answer