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Norma-Jean [14]
3 years ago
5

Suppose f is a function and f(1) = 3. In addition suppose that, as x goes from 1 to 4, the average rate of change of f is – 6. I

n the text box below, enter the value of f(4*()). Your answer should be a number; do not enter letters or other symbols in the text box. Your answer must be exact, please do not round off your answer. For example, do not round off 1/3 to be .33. After entering your answer, click the Save Answer button.
Mathematics
1 answer:
Jobisdone [24]3 years ago
4 0

Answer:

f(4) = -15

Step-by-step explanation:

Since we have an average rate of change, we can deduce that a line, with a gradient of -6 joins the points on the function, f, when the parameter is 1 and when it is 4, i.e. the line passes through the point (1, 3) and has a gradient of -6;

From this, we know that for every value of x we increase the, value y will decrease by 6;

So if we increase 1 by 3, to get to 4, the y value must decrease by 18 (3×6);

Written mathematically, it would look like:

f(4) = 3 + (4 - 1)(-6)

= 3 - 18

= -15

(4, -15)

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1/3+1/3x+8/3=-1/3(6x+11)
ivann1987 [24]

Answer:

x=-20/7 or -2.857

Step-by-step explanation:

bring like terms together in each side of the = side

then work the out

3 0
3 years ago
AREA OF CIRCLES HELP PLS​
Lera25 [3.4K]

Answer:

432 ft²

Step-by-step explanation:

First lets find radius (r);

r = d/2

r = 24/2

r = 12

Now let's find the area;

A = π(12)²

A = 3(144)

A = 432 ft²

Hope this helps!

6 0
3 years ago
Consider the square root function f(x) = sqrt x + 2 + 1 to complete the table of values below. find each missing value and then
Scrat [10]

Given the function :

f(x)=\sqrt[]{x+2}+1

We need to find each missing value

Given x = -3 , -2 , -1 , 2 , 7

So, substitute with each value of x to find the corresponding value of f(x)

x=-3\rightarrow f(x)=\sqrt[]{-3+2}+1=\sqrt[]{-1}+1

So, there is no value for f(x) at x = -3 (the function undefined because the square root of -1)

\begin{gathered} x=-2\rightarrow f(x)=\sqrt[]{-2+2}+1=\sqrt[]{0}+1=0+1=1 \\  \\ x=-1\rightarrow f(x)=\sqrt[]{-1+2}+1=\sqrt[]{1}+1=1+1=2 \\  \\ x=2\rightarrow f(x)=\sqrt[]{2+2}+1=\sqrt[]{4}+1=2+1=3 \\  \\ x=7\rightarrow f(x)=\sqrt[]{7+2}+1=\sqrt[]{9}+1=3+1=4 \end{gathered}

the graph of the function and the points will be as shown in the following image :

5 0
1 year ago
Jim began a 165 mile bicycle trip to build up stamina for a triathlete competition unfortunately his bike chain broke so he fini
denpristay [2]

Answer: Approximately 4.7 hours.

Step-by-step explanation:

He rode the bicycle for some time before it broke down and he walked the remaining distance. This means that Jim covered a total of 165 miles by riding at a speed of 35 miles per hour and walking at a speed of 3 miles per hour.

Let x = the distance covered by riding the bicycle.

Let y = the distance covered by walking.

Time = distance /speed

Time he used in riding would be x/35

Time he used in walking would be y/3

Since the entire trip took 7 hours,

x/35 + y/3 = 7

3x + 35y = 735 - - - - - - - - 1

Total miles covered is 165. Therefore,

x + y = 165 - - - - - - - - -- - -2

Substituting x = 165-y into equation 1, it becomes

3(165-y) + 35y = 735

495-3y + 35y = 735

-3y + 135y = 735-495

132y = 240

y = 240/132

y = 1.81m

x = 165 - 1.81 = 163.19

Amount of time that he spent on the bicycle will be

x/35 = 163.19/35

= 4.66

Approximately 4.7 hours.

7 0
3 years ago
I found the lost numer 1/3+?=3/2
marysya [2.9K]
The answer will be 1/2
3 0
3 years ago
Read 2 more answers
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