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2 years ago

What is the y-intercept of the line with the equation 3x + 4y = 12? A) 4 B) 3 C) 2 D) 1 3

Mathematics

2 answers:

PSYCHO15rus [73]2 years ago

8 0

Answer:

B) 3

Step-by-step explanation:

3x+4y=12 is actually y=-3/4+3

the +3 part is the y intercept

Vesnalui [34]2 years ago

6 0

Answer:

Option B, 3

Step-by-step explanation:

Step 1: Convert this into y = mx + b form

3x + 4y - 3x = 12 - 3x

4y / 4 = (-3x + 12) / 4

y = -3/4x + 3

Step 2: Determine the y-int

y = mx + b

m is slope

b is y-int

y = -3/4x + 3

b is 3 which means that the correct answer is Option B, 3

Answer: Option B, 3

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the price of an item has been reduced by $2.72 . the new sale price is $96.09 . what was the original price?

stellarik [79]

You add the two numbers together and get $98.81

6 0

3 years ago

The hours of daylight, y, in Utica in days x from January 1, 2013 can be modeled by the equation y = 2.89sin(0.0145x-1.40) + 10.

Pie

Answer:

9.3 hours

Step-by-step explanation:

Given

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

Required

Hours of sunlight on Feb 21, 2013

First, calculate the number of days from Jan 1, 2013 to Feb 21, 2013

$days = 52$

So:

$x = 52$

So, we have:

$y = 2.89\sin(0.0145x-1.40) + 10.99.$

$y = 2.89\sin(0.0145*52-1.40) + 10.99.$

$y = 2.89\sin(0.754-1.40) + 10.99.$

$y = 2.89\sin(-0.646) + 10.99.$

$y = 2.89*-0.6020 + 10.99.$

$y = -1.740 + 10.99.$

$y = 9.25$

$y = 9.3$ --- approximated

8 0

2 years ago

The initial number of views for a certain website was 15. The number of views is growing exponentially at a rate of 22% per week

Oksi-84 [34.3K]

t he number of views expected to be four weeks from now can be calculated using the equation:

F = P ( 1+i)^n

Where F is the future views

P is the present views

i is the percent increase in views

n is the number of weeks

F = 15 ( 1+ 0.22)^4

F = 33 views

8 0

3 years ago

Read 2 more answers

The range of y=√x-5-1 is

Lady_Fox [76]

Answer:

[-1, ∞ )

Step-by-step explanation:

The use of parentheses is essential here. I am assuming that you meant:

y=√(x-5) - 1

Note that √(x-5) has the range [0, ∞ ). The domain is [5, ∞ ).

Thus, y=√(x-5) - 1 has the range [-1, ∞ )

6 0

3 years ago

Read 2 more answers

Please help me!

dybincka [34]

Answer:

They are only equal on day 0, both having 10 population.

Step-by-step explanation:

Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:

$f(x)=10*2^{\frac{x}{3} }$

Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:

$f(x)=10*2^{\frac{x}{4} }$

To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:

$10*2^{x/3}=10*2^{x/4}$

Divide both sides by 10

$2^{x/3}=2^{x/4}$

Since both exponents have the same base we can set the exponents equal to eachother and solve for x:

$\frac{x}{3}=\frac{x}{4}$

Multiply both sides by 3 to isolate x on the left side

$x=\frac{3x}{4}$

Multiply both sides by 4 to remove fraction

$4x=3x$

Subtract 3x to isolate x on the left side

$x=0$

Plug x into one of our original equations

$f(0)=10*2^{0/3}$

Solve

$f(0)=10$

6 0

1 year ago