Answer:
here's your answer hope it helps you
Step-by-step explanation:
1. area of a rectangle=length*breadth
area=(3e+2)*(3e-2)
area=9e+2*-2
area=9e.
2. 3(a-4)-2+a+7)
3a-12-2(a+7)
3a-12-2(a+7)
3a-12-2a-14
3a-12-2a-14
3a-26-2a
1a-26
a-26 is the answer.
2. 5(d-3)+2d+10
5d-15+2d+10
5d-5+2d
7d-5
7d-5 is the answer.
Answer:
Step-by-step explanation:
The key to solving this problem lies in understanding that the domain of the square root function includes ONLY zero or positive numbers.
In this case, we set 4x - 3 ≥ 0.
Solving for 4x: 4x ≥ 3. Therefore, x ≥ 3/4.
The domain of the given function is [3/4, ∞ ).
If a^ x = b then:
x = log_{a}b
For:
4^{7} = 16384 \\ log _{4}16384 = 7
Answer:
Step-by-step explanation:
Given
Required
Express as partial fraction
Expand the numerator
Factorize
Factor out x + 3
As a partial fraction, we have:
Take LCM
Cancel out (x + 3)^2 on both sides
Open bracket
By comparison, we have:
===>
Substitute 3 for A
Solve for B
Substitute: and in
Hence, the partial fraction is:
Answer:
1.
- Gabe earns 13.5 per hour
2.
x ------------------ 4 ---- 8 --------- 12 ------ 16
Earnings ----- 57 ---- 111 ------- 165------ 219
Step-by-step explanation:
See attachment for complete question
Solving (a): Gabe's earnings per hour,
To do this, we simply calculate the slope (m) of the table.
Where
Hence, Gabe earns 13.5 per hour
Solving (b): Jordan earnings
First, we calculate the equation of Gabe's table using:
Where
and
If Jordan earns 3 more per hour than Gabe, then: Jordan's equation would be;
When x = 4
When x = 8
When x = 12
When x = 16