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Vilka [71]
3 years ago
12

What is the equation of the line with a slope of 3/4 that goes through the point (4,1) in slope-intercept form ?

Mathematics
1 answer:
max2010maxim [7]3 years ago
8 0

The slope-point form of a line:

y-y_0=m(x-x_0)

We have

m=\dfrac{3}{4}\\\\(4,\ 1)\to x_0=4,\ y_0=1

Substitute:

y-1=\dfrac{3}{4}(x-4)

The slope-intercept form:

y=mx+b

Solve for y:

y-1=\dfrac{3}{4}(x-4)\qquad|\text{use distributive property}\\\\y-1=\dfrac{3}{4}x-3\qquad|\text{add 1 to both sides}\\\\y=\dfrac{3}{4}x-2

Answer: D.

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I need help can someone pls help me I need to get this right for my test :((!
Aliun [14]
<h3>y = x + 20</h3><h3></h3><h3><em>Please let me know if I am wrong.</em></h3>
4 0
2 years ago
Write a polynomial function with rational coefficients so that P(x) = 0 has the given roots. 4, 16, and 1 + 9i
bulgar [2K]
I remember dis, yey

so if a polynomial has roots r_1, r_2, r_3, it can be factored into
f(x)=a(x-r_1)^b(x-r_2)^c(x-r_3)^d where a,b,c,d are constants

also, if a polynomial has rational coefients and a+bi is a root, then a-bi must also be a root


so our roots we need are
4,16, 1+9i and 1-9i

so assuming multiplity 1 (that means we have something like [/tex]f(x)=a(x-r_1)^1(x-r_2)^1(x-r_3)^1[/tex])

we get that your function is
P(x)=(x-4)(x-16)(x-(1+9i))(x-(1-9i)) which simplifies to
P(x)=(x-4)(x-16)(x-1-9i)(x-1+9i) which expands to
P(x)=x^4-22x^3+186x^2-1768x+5248
3 0
4 years ago
Geoff wants to make a 200 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with a 8% alcohol solution. What
Marina86 [1]

Answer:

Volume of 3% alcohol = 80 ml

Volume of 8% alcohol = 120 ml

Step-by-step explanation:

Final volume of 6% alcohol solution = 200 ml

Let the volume of 3% alcohol volume = a ml

Therefore, volume of 8% alcohol = (200 - a) ml

Equation for the given situation will be,

3a + 8(200 - a) = 6×200

3a + 1600 - 8a = 1200

1600 - 5a = 1200

5a = 400

a = 80 ml

Therefore, volume of 3% alcohol to be used = 80 ml

And volume of 8% alcohol to be used = (200 - 80) = 120 ml

8 0
3 years ago
A team of runners is needed to run a 1/4 -mile relay race. If each runner must run
Sveta_85 [38]

Answer:

4 runners

Step-by-step explanation:

I divided 1/4 by 1/16 and got 4 as an answer.

Hope this helps :)

(Correct me if i am wrong)

8 0
3 years ago
Read 2 more answers
How to make average ?
Viktor [21]

add all numbers and divide by the count of numbers.

6 0
4 years ago
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