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:
brainly.com/question/2807928
#SPJ1
Answer:
<h3> C. y + 7 = -7(x - 3)</h3>
Step-by-step explanation:
The equation of a line is:
y - y₀ = m(x - x₀)
where <em>m</em> is the slope and <em>(x₀, y₀)</em> is the point which the line passes through
The product of slopes of two perpendicular lines is -1
so if given lines slope is ¹/₇ them:
¹/₇·m = -1
m = -7
(3, -7) ⇒ x₀ = 3, y₀ = -7
Therefore:
y - (-7) = -7(x - 3)
<u> </u><u>y + 7 = -7(x - 3) </u>
Answer:
Decreases
Step-by-step explanation:
We need to determine the integral of the DE;
We can solve this by integration by parts on the left side. We expand the fraction 1/P²:
let
Substitute u in:
Therefore the equation is:
We simplify:
As t increases to infinity P will decrease
Answer:
c
Step-by-step explanation:
(3x)ex2
first convert 0.88 to degrees
so arcsin(0.88) = 61.642 degrees
Arcsin on a calculator is sin^-1
then to convert to radians divide degrees by 180 and multiply that by PI
so (61.642/180) x PI = 1.076 radians
