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andrew11 [14]
3 years ago
5

Find the y and the x intercepts of the graph of the equation of y=3x+1

Mathematics
1 answer:
BaLLatris [955]3 years ago
7 0

Answer:

x-intercept ⇨ -1/3

y-intercept ⇨ 1

Step-by-step explanation:

⟺ Finding the x-intercept, substitute y = 0

y=3x+1\\0=3x+1\\3x+1=0\\

Move 1 to subtract the another side.

3x=-1

Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.

x=-\frac{1}{3} #

⟺ Finding the y-intercept, substitute x = 0

y=3x+1\\y=3(0)+1\\y=0+1

y=1 #

Tips:

Here's the tips about finding the intercepts of the graph.

⟺ For x-intercept, It's like solving an equation to find the x-term.

⟺ For y-intercept, It's like using the constant to answer.

As for y = mx+b where m = slope and b = y-intercept.

For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.

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Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned i
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Answer:

The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000

Step-by-step explanation:

The given parameters are;

The total amount Hank invested = $20,000

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Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%

Let the part invested at 7% = X and the part invested at 10% = Y, we have;

7% of X + 10% of Y = $1640 which gives;

0.07×X + 0.1×Y = $1640.....................(1)

X + Y = $20,000.................................(2)

Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;

X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640

X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600

0.3·X = $3,600

X = $3,600/0.3 = $12,000

X = $12,000

Y = $20,000 - X = $20,000 - $12,000 = $8,000

Y = $8,000

Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.

7 0
3 years ago
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Although not so common now, consider a phone plan that does not have unlimited texting. Your base plan costs you $30 a month and
german

Answer:

The bill will be $26070.

Step-by-step explanation:

Your base plan costs you $30 a month

And each text sent or received is only 12 cents or $0.12.

Let the messages sent be = x

So, cost for messages become = 0.12x

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y=30+0.12x

Now, given is that In one month 217,000 messages were sent between two brothers in Philadelphia.

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In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.What fraction of the expec
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we are given

In a particularly sunny month, Solaire's solar panels generated 110 percent as much power as expected.

so, we need to change percent into fraction to get our value

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now, we can simplify it

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