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Nimfa-mama [501]
3 years ago
8

What is the y-intercept of the function f(x)=4 - 5x? (Hint: use the commutative property)

Mathematics
1 answer:
Tom [10]3 years ago
7 0

Answer:

Therefore the y-intercept of the function is 4.

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

y-intercept: The line or function which intersect at y-axis. So when the line intersect at y-axis, X coordinate is zero.

So in the given Function Put x = 0 we will get the y-intercept

f(x)= 4-5x

Put x =0

f(0)= 4-5\times 0

f(0)= 4-0=4

Therefore the y-intercept of the function is 4.

You might be interested in
Y - 8 = -10<br> How do I verify the solution ?
prisoha [69]

Answer:

y = -2

Step-by-step explanation:

<u>SOLUTION :-</u>

Solve the equation.

  • Add 8 to both sides in order to isolate the equation.

=> y - 8 + 8 = -10 + 8

=> y = -2

∴ y = -2

<u>VERIFICATION :-</u>

To verify the solution of y , just put the solution (y = -2) in place of y in equation and check whether L.H.S = R.H.S.

L.H.S :-

-2 - 8 = <u>-10</u>

R.H.S. :-

<u>-10</u> (already given)

⇒L.H.S. = R.H.S. (verified)

4 0
3 years ago
Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 12 and the 8th term is 27. 20 19.5 18 17
Lesechka [4]
A₆ =12

a₇ = ?? = x

a₈ 27

In this case x is the geometric mean & as per the formula
geometric mean of 2 numbers =√(a₆ * a₈) = √(12*27)
& x=18.
Proof:
Find the common ratio between a₇ & a₆ ==> = ( x) / 12
now find the common ration between a₈ & a₇ ===> =27 / (x)
x/12 = 27/x ===> x² = 12*27 ==> x² = 324 & x =√324 = 18
7 0
4 years ago
the table shows the cost of the daycare for Lucy's dog this week her dog went 3 full days of day care and 2 half days of day car
drek231 [11]

An expression for the total cost of the daycare for Lucy's dog this week is T = 3F + 2H and the total cost is equal to $114.

<h3>How to write an expression for the total cost?</h3>

In this exercise, you're required to write an expression for the total cost of the daycare for Lucy's dog this week. Thus, we would assign a variable to the cost for full-day and half-day day care as follows:

  • Let the cost for full-day be F.
  • Let the cost for half-day be H.
  • Let total cost be T.

Thus, the total cost of the daycare is given by:

T = 3F + 2H

Evaluating the expression, we have:

T = 3(28) + 2(15)

T = 84 + 30

T = $114.

Read more on expressions here: brainly.com/question/12189823

#SPJ1

7 0
2 years ago
A bed is 6 1/2 feet long.the material to make a sheet for the bed is to be 1 1/2 times as long to allow for hems and tucking und
Svetllana [295]
Answer:  9 3/4 feet long

Explanation:

1 1/2 x 6 1/2 = 3/2 x 13/2 = 39/4 = 9 3/4 feet long
4 0
3 years ago
The diameter of a circular garden is 22 feet, what is the approximate area of the garden?
Contact [7]
I hope this helps you



radius=diameter/2=22/2=11



Area =pi.r^2


Area =3,14.11^2


Area =379.94
3 0
3 years ago
Read 2 more answers
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