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s2008m [1.1K]
3 years ago
15

Solve. -5x - 3y = -20

Mathematics
1 answer:
patriot [66]3 years ago
6 0

Answer:

it is a are b but it could be c

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Y=x^2-6x+3 help write the vertex form of the equation
Artist 52 [7]

Answer:

y=(x-3)^2-6

Step-by-step explanation:

y=x^2-6x+3

This is written in the standard form of a quadratic function:

y=ax^2+bx+c

where:

  • ax² → quadratic term
  • bx → linear term
  • c → constant

You need to convert this to vertex form:

y=a(x-h)^2+k

where:

  • (h,k) → vertex

To find the vertex form, you need to find the vertex. For this, use the equation for axis of symmetry, since this line passes through the vertex:

x=-\frac{b}{2a}

Using your original equation, identify the a, b, and c terms:

a=1\\\\b=-6\\\\c=3

Insert the known values into the equation:

x=-\frac{(-6)}{2(1)}

Simplify. Two negatives make a positive:

x=\frac{6}{2} =3

X is equal to 3 (3,y). Insert the value of x into the standard form equation and solve for y:

y=3^2-6(3)+3

Simplify using PEMDAS:

y=9-18+3\\\\y=-9+3\\\\y=-6

The value of y is -6 (3,-6). Insert these values into the vertex form:

(3_{h},-6_{k})\\\\y=a(x-3)^2+(-6)

Insert the value of a and simplify:

y=(x-3)^2-6

:Done

6 0
2 years ago
Dominic earns $285 per week plus an 8% commission rate on all his sales.If Dominic sells $4,213 worth of merchandise in one week
irakobra [83]

He earns $285 plus a commission of $337.04.  So his total take home pay is $622,04.


5 0
3 years ago
Read 2 more answers
-5x=3x-24 help me with this problem
adoni [48]

Answer:

x = -3

Step-by-step explanation:

Take the 3x away from the right side.

-5x-3x=-8x

-8x = -24

Divide both sides by 8.

-8x/8 = x

-24/8 = -3

x = -3

7 0
3 years ago
Which triangle has hypotenuse BF?
Sav [38]

Answer:

I believe its BFG

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What are the measures of Angles a, b, and c? Show your work and explain your answers.
jolli1 [7]
Answer: a = 40, b = 50, c = 115

Solution:
a = 40 (the vertical angles are equal)

b = 180 - 40 - a = 50 (the sum of interior angles of triangle is 180)

c = 180 - 65 = 115 (the linear theorem)
5 0
2 years ago
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