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Vsevolod [243]
2 years ago
7

Write a linear function f with the values f(3)=2 and f(0)=6

Mathematics
2 answers:
ruslelena [56]2 years ago
7 0

Answer:

<h2>           f(x) = -⁴/₃x + 6</h2>

Step-by-step explanation:

f(0) = 6 means y-intercept b = 6

So we have:

                  f(x) = mx + 6     and   f(3) = 2

        So:

                2 = m×3 + 6

                  3m + 6 = 2

                   3m = 2 - 6

                   3m = -4

                    m = -⁴/₃

Therefore the function:

<h3>                                     f(x) = -⁴/₃x + 6</h3>
Sergeu [11.5K]2 years ago
5 0

Answer:

for f(3)=2 is y=(2/3)x

Step-by-step explanation:

y=ax

and plug x and y into the parent function.

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Jenny and Natalie are selling cheesecakes for a school fundraiser. Customers can buy chocolate cakes and vanilla cakes. Jenny so
IrinaVladis [17]

The cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

<em><u>Solution:</u></em>

Let "c" be the cost of 1 chocolate cake

Let "v" be the cost of 1 vanilla cake

<em><u>Jenny sold 14 chocolate cakes and 5 vanilla cakes for 119 dollars</u></em>

Therefore, we can frame a equation as:

14 x cost of 1 chocolate cake + 5 x cost of 1 vanilla cake = 119

14 \times c + 5 \times v=119

14c + 5v = 119 ------- eqn 1

<em><u>Natalie sold 10 chocolate cakes and 10 vanilla cakes for 130 dollars</u></em>

Therefore, we can frame a equation as:

10 x cost of 1 chocolate cake + 10 x cost of 1 vanilla cake = 130

10 \times c + 10 \times v = 130

10c + 10v = 130 -------- eqn 2

<em><u>Let us solve eqn 1 and eqn 2</u></em>

Multiply eqn 1 by 2

28c + 10v = 238 ------ eqn 3

<em><u>Subtract eqn 2 from eqn 3</u></em>

28c + 10v = 238

10c + 10v = 130

( - ) --------------------------

18c = 108

c = 6

<em><u>Substitute c = 6 in eqn 1</u></em>

14(6) + 5v = 119

84 + 5v = 119

5v = 119 - 84

5v = 35

v = 7

Thus cost of 1 chocolate cake is $ 6 and cost of 1 vanilla cake is $ 7

8 0
2 years ago
Please help me out man<br><br> f/ 6 = 17
ratelena [41]

Answer:

f/6=17

f=17×6

=102

Hope it helps!!!

7 0
2 years ago
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uysha [10]

Answer:

table

Step-by-step explanation:

3 0
3 years ago
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I hope y’all can help me(sorry for the bad pic)
34kurt

Answer:

function

Step-by-step explanation:

it doesnt touch two times so its a function.

3 0
3 years ago
A jet travels 470 miles in 2 hours. At this rate, how far could the jet fly in 15 hours? What is the rate of speed of the jet?
Gennadij [26K]

Answer:

The jet could fly 3,525 miles in 15 hours.

The rate of speed is 235 miles an hour.

Step-by-step explanation:

Step 1- Find the rate of speed

470÷2= 235

235 miles an hour

Step 2- Multiply

235×15= 3,525

8 0
3 years ago
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