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vredina [299]
3 years ago
12

HELP ASAP

Mathematics
1 answer:
dlinn [17]3 years ago
5 0
Y=mx+b
m=slope
b=yint

slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-1,3) and (2,-3)
slope=(-3-3)/(2-(-1))=(-6)/(2+1)=-6/3=-2

y=2x+b
find b
(-1,3) is a point
when x=-1, y=3
3=2(-1)+b
3=-2+b
add 2
5=b



y=2x+5
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Function k is a linear function with a slope of 1/2 that passes through the point (4,2). What equation represents Function K?
Novay_Z [31]

Answer:

A. y = 1/2 x.

Step-by-step explanation:

Use the point-slope form of a linear (straight line) function:

y - y1 = m(x - x1)

m = 1/2, x1 = 4 and y1 = 2, so:

y - 2 = 1/2(x - 4)

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3 years ago
What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
a washing machine was reduced in sale by 15% the sale price is now £238 what was the original price?​
BabaBlast [244]

Answer:

£280

Step-by-step explanation:

238/0.85

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1 year ago
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VLD [36.1K]

Answer:

25 roses and 40 white carnations

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which is a translation of f(x)=|x|. Write the function rule for g(x)
eduard

Answer:

g(x) = | x + 7 |

Step-by-step explanation:

The absolute value graph f(x)=|x| is a V-shaped graph with the vertex (tip, point) at (0,0). The graph shown has been translated (slid, shifted) 7 units to the left. Left or right shifts, horizontal shifts, are caused by an adjustment to the x. Horizontal shifts are also maybe the opposite of your intuition. Left shifts, you ADD to x. Right shifts, you subtract from x.

This is a left shift, so adjust the x by inserting a +7

f(x) = |x|

g(x) = | x + 7 |

6 0
2 years ago
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