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3 years ago

Solve this system of equations y=x-4 y=6x-10

2 answers:

6 0

Point form: (6/5, -14/5)

equation form: x=6/5 y= -14/5

to solve, set the equations equal to each other so it’s x-4=6x-10 which gives you x

then plug x into one of the equations so y=6/5-4 which gives you y=-14/5

hope this helps!

kompoz [17]3 years ago

5 0

Step-by-step explanation:

put 6x-10 in y=x-4

y = (6x-10) - 4

y = 6x-14

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2 years ago

How do I solve 10p+5=18p-6/2

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3 years ago

I need answer ASAP If f(x) = 2x+1 and g(x) = 3x-2 Find f[g(1)] =

Nadya [2.5K]

Answer:

f[g(1)] = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 2x + 1

g(x) = 3x - 2

Step 2: Find g(1)

Substitute in x: g(1) = 3(1) - 2
Multiply: g(1) = 3 - 2
Subtract: g(1) = 1

Step 3: Find f[g(1)]

Substitute in g(1): f[g(1)] = 2(1) + 1
Multiply: f[g(1)] = 2 + 1
Add: f[g(1)] = 3

7 0

3 years ago

∠CAT and ∠MUD are supplementary. If m∠CAT=11x+16 and m∠MUD=4x+14, find the measure of each angle.

Georgia [21]

Answers:

x = 10
angle CAT = 126 degrees
angle MUD = 54 degrees

=========================================================

Explanation:

∠CAT and ∠MUD are supplementary, which means the angle measures add to 180. They form a straight line.

( m∠CAT ) + ( m∠MUD ) = 180

( 11x+16 ) + ( 4x+14 ) = 180

11x+16 + 4x+14 = 180

(11x+4x) + (16+14) = 180

15x+30 = 180

15x = 180-30

15x = 150

x = 150/15

x = 10

Let's find each angle based on this x value

m∠CAT=11x+16 = 11*10+16 = 110+16 = 126 degrees
m∠MUD=4x+14 = 4*10+14 = 40+14 = 54 degrees

Those two angles add to 126+54 = 180 to confirm we do indeed have supplementary angles, and confirm the correct answers.

8 0

2 years ago