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vaieri [72.5K]
3 years ago
15

Convert from Standard Form to Slope Intercept Form 3x + 2y = 6

Mathematics
1 answer:
Ilia_Sergeevich [38]3 years ago
5 0

Answer:

y = -3/2x + 3

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Standard Form: Ax + By = C

Slope-Intercept Form: y = mx + b

  • m - slope
  • b - y-intercept

Step-by-step explanation:

<u>Step 1: Define</u>

Standard Form:   3x + 2y = 6

<u>Step 2: Find slope-intercept form</u>

  1. Subtract 3x on both sides:          2y = 6 - 3x
  2. Divide both sides by 2:                y = 3 - 3/2x
  3. Rewrite:                                         y = -3/2x + 3

And we have our final answer!

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Ariel made cupcakes to sell. 2/3 of them were chocolate chip,25% of the reminder was strawberry and the rest were 90 vanilla cup
Anton [14]

Answer:

Let x be the total number of cupcakes.

Chocolate chips =

\frac{2}{3} x

Strawberry =

\frac{1}{4}  \times  \frac{1}{3}  \\  =  \frac{1}{12} x

Vanilla =

x -  \frac{2}{3} x -  \frac{1}{12}x \\  =  \frac{1}{3} x -  \frac{1}{12} x \\   =  \frac{1}{4} x

given

\frac{1}{4} x = 90

x = 90 \div  \frac{1}{4}  \\  = 90 \times 4 \\  = 360

a)Number of Chocolate chip Cupcakes =

\frac{2}{3}  \times 360 \\  = 240

b)Number of Strawberry cupcakes =

\frac{1}{12}  \times 360 \\  = 30

8 0
3 years ago
Find the limit, if it exists. lim (x^3 -3x^2 +3)
Kruka [31]

Answer:

-1

Step-by-step explanation:

Assuming problem is: x->2 (x^3 -3x^2 +3)

Since the expression is continuous at x=2,

then the limit can be found just by evaluating the expression at x=2.

2^3-3(2)^2+3

8-3(4)+3

8-12+3

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4 0
3 years ago
If lmn~ xyz which congruentes are true by CPCTC?
zhannawk [14.2K]

Answer:

<h2>B. LN ≅ XZ</h2><h2>C. ∠Y ≅ ∠M</h2><h2>E. MN ≅ YZ</h2>

Step-by-step explanation:

CPCTC: Corresponding Parts of Congruent Triangles are Congruent

If ΔLMN ≅ ΔXYZ, then:

B. LN ≅ XZ

C. ∠Y ≅ ∠M

E. MN ≅ YZ

<em>Corresponding sides:</em>

<em>LN → XZ</em>

<em>LM → XY</em>

<em>MN → YZ</em>

<em>Corresponding angles:</em>

<em>∠L → ∠X</em>

<em>∠N → ∠Z</em>

<em>∠M → ∠Y</em>

3 0
3 years ago
HELP ME ASAP!!! Why is this wrong?
Doss [256]

Answer:

B

Step-by-step explanation:

The point (3, - 4) is in the fourth quadrant where cos Θ > 0

Thus

cos Θ = \frac{3}{5} → B

6 0
3 years ago
A pentagon will be dilated on a coordinate grid to create a larger pentagon. The pentagon is dilated using the origin as the cen
jonny [76]

Answer:A

Step-by-step explanation:

4 0
3 years ago
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