Item 5 Solve for b. − 1 3 b=9 What is the answer?
2 answers:
Answer:
For so that
.
Step-by-step explanation:
Given expression
- 13 b = 9
Here, -13 is multiplied with b on solving it gives 9 as answer.
We have to find b so that when it is multiplied with -13 it gives answer as 9.
When -13 is taken to other side operation gets inverse (multiplication changes to division) and -13 goes other side in denominator as,
Thus, for so that
.
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First we write the kinematics equations:
a
v = a * t + vo
r = a * (t ^ 2/2) + vo * t + ro
For Wanda we have:
a = 0
v = 5
r = 5 * t
For Dave we have:
v = 10
r = 10 * (t-120)
To solve the system of equations, we graph both functions and see where
they intersect.
We have to intersect in the ordered pair:
(t, r) = (240, 1200)
answer
If they continue walking at these rates, Dave catch up to Wanda in 240s (1200 ft)
a
v = a * t + vo
r = a * (t ^ 2/2) + vo * t + ro
For Wanda we have:
a = 0
v = 5
r = 5 * t
For Dave we have:
v = 10
r = 10 * (t-120)
To solve the system of equations, we graph both functions and see where
they intersect.
We have to intersect in the ordered pair:
(t, r) = (240, 1200)
answer
If they continue walking at these rates, Dave catch up to Wanda in 240s (1200 ft)
Answer:
Step-by-step explanation:
So we have the trinomial:
First, factor out a 2:
Now, factor within the parentheses.
To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b
(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.
-5 and 2 works. Therefore:
Replace -3x with 2x and -5x:
Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:
Grouping:
And we're done!
The initial value: 25, rate of change: -5 ⇒ answer C
Step-by-step explanation:
The table:
→ x : 1 : 3 : 5 : 7
→ y : 20 : 10 : 0 : -10
The linear relation between x and y is y = m x + b, where
- m is the rate of change
- b is the initial value
Let us use the table to find m and b
∵ , where
and are any two ordered pairs in the table
∵ = (1 , 20)
∵ = (3 , 10)
∴
∵ m is the rate of change
∴ The rate of change is -5
Substitute the value of m in the form of the linear relation
∴ y = -5 x + b
To find b substitute x and y in the equation by the coordinates of any points in the table, let us chose point (5 , 0)
∵ x = 5 and y = 0
∴ 0 = -5(5) + b
∴ 0 = -25 + b
- Add 25 to both sides
∴ 25 = b
∵ b represents the initial value
∴ The initial value is 25
The initial value: 25, rate of change: -5
Learn more:
You can learn more about the linear equation in brainly.com/question/4326955
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