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2 years ago

Consider the function represented by 9x + 3y = 12 with x as the independent variable. How can this function be written using

Mathematics

1 answer:

Andrei [34K]2 years ago

6 0

Answer:

f(x) = - 3x + 4

Step-by-step explanation:

Note that y = f(x)

Given

9x + 3y = 12 ← rearrange making y the subject

Subtract 9x from both sides

3y = - 9x + 12 ( divide all terms by 3 )

y = - 3x + 4, that is

f(x) = - 3x + 4

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Harrison is playing a board game that has a path of 100 spaces. After his first turn, he is 1/5 of the way along the spaces. On

Nookie1986 [14]

Answer: he moves 50 steps

Step-by-step explanation:

He went 20 on his first because 1/5 of 100 then it says 1/4 of his first turn which is 5 and then 1.25=1 1/4 of his first turn which is 25 so 20+5+25= 50

5 0

2 years ago

Rewrite y + 3 = 0 using function notation.

Leni [432]

F(x) basically just substitutes the "y"
so you would bring everything over to one side
y + 3 = 0
subtract 3
y = -3
then
f(x) = -3

That is B)

3 0

2 years ago

Read 2 more answers

Use place value to find the product 6x40

marta [7]

Answer:

240

Step-by-step explanation:

math. get sckoooledz

4 0

2 years ago

A ladder is leaning up against a 17 foot Wall at an angle of elevation of 37°. How far is the foot of the latter from the wall?

inn [45]

This is the concept of trigonometry, the distance from the foot of the ladder will be given by:
tan theta=[opposite]/[adjacent]
opposite=17 ft
adjacent=x ft
theta=37°
thus
tan 37=17/x
x=17/tan 37
x=22.56 ft
=22.6 ft (to the nearest 10th of a foot)

6 0

2 years ago

A store has a 25\%25% off sale on coats. With this discount, the price of one coat is \$34.50$34.50. What is the original price

timama [110]

Answer:

$46

Step-by-step explanation:

A percent is a portion of 100. If we receive 25% off then we pay 75% of the price. 100%-25%=75%. $34.50 is 75% of the original price. We find the new price through a proportion. A proportion is an equation where two ratios or fractions are equal. The ratios or fractions compare like quantities. For example, we will compare percent over percent to an equal ratio of $ to $.

$\frac{75}{100} =\frac{34.50}{y}$

I can now cross-multiply by multiplying numerator and denominator from each ratio.

$75y=100(34.50)\\75y=3450$

I now solve for y by dividing by 75.

$\frac{75y}{75} =\frac{3450}{75} \\y= 46....$

The original price was $46.

5 0

3 years ago