All categories

3 years ago

The function f is defined by f(x)=5x+k, where k is a constant. Find k, if the value of f at x=2 is equal to 14.

Mathematics

2 answers:

Artyom0805 [142]3 years ago

7 0

We are given the function f(x) = 5x + k when k is a constant, x equals 2, and f(x) equals 14

Steps to solve:

14 = 5x + k; x = 2

~Substitute

14 = 5(2) + k

~Simplify

14 = 10 + k

~Subtract 10 to both sides

14 - 10 = 10 - 10 + k

~Simplfy

4 = k

Best of Luck!

yKpoI14uk [10]3 years ago

4 0

Answer:

k = 4

Step-by-step explanation:

f(x)=5x+k

Let x =2

f(2) = 5*2 +k

f(2) = 10+k

We know f(2) = 14

14 = 10+k

Subtract 10 from each side

14-10 = 10+k-10

4 =k

You might be interested in

Ok, now i need help from 1-5, 20 points

ratelena [41]

1 = 8

2=3+8

3=12

4=9

8 that's it bra

5 0

3 years ago

Find the area of the rhombus. pic included, thank you

Katen [24]

Answer:

80in 2

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

8x – 3 = -19<br><br>Who give it fast they have branliest <br>Give the correct answer step by step

lakkis [162]

Answer:

Step-by-step explanation:

$8x - 3 = - 19$

Collect like terms and simplify

$8x = - 19 + 3 \\ 8x = - 16$

Divide both sides of the equation by 8

$\frac{8x}{8} = \frac{ - 16}{8}$

Simplify

$x = - 2$

4 0

2 years ago

Read 2 more answers

I need to be in a session to post the picture of the problem

Tpy6a [65]

Answer:

The value of x that makes the equation true is 3

$x=3$

Explanation:

From the attached image;

Let us write the mathematical equation of the model.

The long bar means x, while the small squares have a value of 1 each.

$2x+5=11$

solving the equation we have;

$\begin{gathered} 2x+5=11 \\ 2x=11-5 \\ 2x=6 \\ \text{divide both sides by 2;} \\ \frac{2x}{2}=\frac{6}{2} \\ x=3 \end{gathered}$

Therefore, the value of x that makes the equation true is 3

$x=3$

5 0

9 months ago

You plan to go skiing this weekend in Tennessee. The ski resort charges $18.50 per hour in addition to a $100 deposit to rent sk

Rina8888 [55]

Answer:

Part a) $y=18.50x+100$

Part b) The total cost is $\$220.25$

Part c) see the explanation

Step-by-step explanation:

Part a) Write a linear equation to represent this situation

Define the variables

Let

x ----> the number of hours

y ----> the total cost in dollars

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or the unit rate

b is the y-intercept or initial value (value of y when the value of x is equal to zero)

In this problem we have that

The unit rate or slope is equal to

$m=\$18.50\ per\ hour$

The y-intercept or initial value is equal to

$b=\$100$

substitute

$y=18.50x+100$

Part b) Use the equation to find the total cost to rent skis from 8:30 am to 3:00 pm

Remember that

3:00 pm=15:00

from 8:30 am to 3:00 pm, the total hours is equal to

15:00 -8:30=6:30=6.5 h

For x=6.5 h

substitute in the linear equation and solve for y

$y=18.50(6.5)+100\\y=\$220.25$

Part c) What does your answer mean in context of the problem?

we have that

y=220.25

That means -----> The total cost to rent skis for 6.5 hours is equal to $220.25

8 0

2 years ago