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vodka [1.7K]
3 years ago
7

Suppose that f(x)=3x+1....

Mathematics
1 answer:
skad [1K]3 years ago
4 0

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

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A recipe for lemonade punchcalls for 6 cups of lemonade for every 24 cups of sprite. Which equation could be used to find x, the
Katena32 [7]

Answer:

6/24=x/100

Step-by-step explanation:

Computation for the equation that could be used to find x, the percent of lemonade in the whole recipe

The EQUATION to find x, the percent of lemonade in the whole recipe will be :

6 /24=x/100

Hence, cross multiply

x=6/24×100

x=0.25×100

x=25%

Therefore the equation to find x, the percent of lemonade in the whole recipe will be 6/24=x/100 which will give us x= 25% when will cross multiply.

4 0
3 years ago
PLEASE, NEED HELP!
natali 33 [55]
<span>Which shows the elements of the set of whole number multiples of four less than 21?

The multiples of 4 are 4, 8, 12, 16, 20, 24, 28,...

Then, the set of the multiples of four less than 21 is {4, 8, 12, 16, 20}

A: {1, 2, 3, 4, 5}
B: {4, 8, 12, 16, 20}
C: all real numbers
D: null set

Which shows the set(s) the number 2.77 is an element of?

2.77 is a real number, it is not a natural number, and it is not a whole number.

A: real numbers

B: real numbers and natural numbers

C: natural numbers and whole numbers

D: null set


Given sets:

D = {5, 6, 7, 8, 9, 10}, E = {1, 3, 5, 7, 9, 11}, F = {3, 6, 9, 12}

What is D n E?

I believe the question is what is D ∩ E, which is the elements that are as much in D as in E. This is {5,7,9}

A: {1, 3, 5, 6, 7, 8, 9, 10, 11}

B: {5, 7, 9}

C: {9}

D: null set</span>
8 0
4 years ago
5. The dimensions, in inches, of a shipping box at We Ship 4 You can be expressed as width x, length x + 5, and height 3x - 1. T
meriva
The volume of a cuboid is given by length × width × height

We have:

Volume = 7.6 ft³
Height = 3x - 1
Length = x + 5
Width = x

Substituting these into the formula, we have:

7.6 = (3x - 1) (x + 5) (x)
7.6 = [3x² + 15x - x - 5] (x)
7.6 = [3x² + 14x - 5](x)
7.6 = 3x³ + 14x² - 5x
0 = 3x³ + 14x² - 5x - 7.6

Drawing the graph is one way of finding the solution (refer to the graph below):

We have three solutions (where the curve crosses the x-axis):
x = -4.9
x = -0.6
x = 0.8

Putting these solutions back into the context, since we are looking for the value of x which is part of measurement of length, we cannot have negative value, so we will take the value of x = 0.8 ft

Converting  0.8 ft into inches = 0.8 × 12 inches = 9.6 inches

Answer: x = 9.6 inches

7 0
3 years ago
Sketch the graph by hand using asymptotes and intercepts, but not derivatives. Then use your sketch as a guide to producing grap
Arisa [49]

The local minima of f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2} are (x, f(x)) = (-1.5, 0) and (7.980, 609.174)

<h3>How to determine the local minima?</h3>

The function is given as:

f\left(x\right)=\ \frac{\left(2x+3\right)^2\left(x\ -2\right)^5}{x^3\left(x-5\right)^2}

See attachment for the graph of the function f(x)

From the attached graph, we have the following minima:

Minimum = (-1.5, 0)

Minimum = (7.980, 609.174)

The above means that, the local minima are

(x, f(x)) = (-1.5, 0) and (7.980, 609.174)

Read more about graphs at:

brainly.com/question/20394217

#SPJ1

7 0
2 years ago
In the function y=5x^2-2, what effect does the number 5 have on the graph, as compared to the graph of y=x^2?
allochka39001 [22]

General Idea:

The Rules for Transformations of Functions are given below:

If f(x) is the original function, a > 0 and c > 0; Then

f(x)+k \; \; shift \; f(x) \; UPWARD \; k \; units\\\\f(x)-k \; \; shift \; f(x) \; DOWNWARD \; k \; units\\\\f(x+h) \; \; shift \; f(x) \; LEFT \; h \; units\\\\f(x-h) \; \; shift \; f(x) \; RIGHT \; h \; units\\\\-f(x) \; \; REFLECT \; f(x) \; in \; the \; x-axis\\\\f(-x) \; REFLECT \; f(x) \; in \; the \; y-axis\\\\a \cdot f(x), \; a>1 \; STRETCH \; f(x) \; vertically \; by \; a \; factor \; of \; a\\\\a \cdot f(x), \; 0

f(ax), \; a>1 \; SHRINK \; f(x) \; horizontally \; by \; a \; factor \; of \;\frac{1}{a}  .\\\\f(ax), \; 0

Applying the concept:

In the function y=5x^2-2, the effect that the number 5 have on the graph, as compared to the graph of y=x^2 is given below:

C.it stretches the graph vertically by a factor of 5

4 0
4 years ago
Read 2 more answers
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