The answers to the questions are:
1. x = 4
2. x = 1.5
3. x = 1.875
4. x = 1
<h3>2 step equation:</h3>
1. 4x + 3 = 19
4x = 19 - 3
4x = 16
divide by 4
x = 4
<h3>2 step equation w/ fractions:</h3>
(4/3)x + 5 = 17
= 1.33x + 5 = 7
Take like terms
1.33x = 7-5
1.33x = 2
divide through by 1.33x to get 2
x = 2/1.33
x = 1.5
<h3>3. Distributive Property:</h3>
4x(6 - 2) - 10 = 20
Multiply and open the bracket
24x - 8x - 10 = 20
Take like terms
16x = 20+10
16x = 30
x = 30/16
= 1.875
<h3>4. Decimals:</h3>
4.3x + 0.7 = 5
4.3x = 5 - 0.7
4.3x = 4.3
x = 1
Read more on distributive properties here:
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Answer:
slope (m) = 0.75
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
1
3
= 0.33333333333333
θ =
arctan( ΔY ) + 180°
ΔX
= 198.43494882292°
ΔX = -4 – 2 = -6
ΔY = 3 – 5 = -2
Distance (d) = √ΔX2 + ΔY2 = √40 = 6.3245553203368
Equation of the line:
y = 0.33333333333333x + 4.3333333333333
or
y =
1 x
3
+ 13
3
When x=0, y = 4.3333333333333
When y=0, x = -13
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Answer:
0, -2/3
Step-by-step explanation:
Answer:
Plug in the values for x
Step-by-step explanation:
plug in x values into the equation
for example, plug -2 into the equation. y= -2(-2). y=4
So on and so forth