Answer:
23
Step-by-step explanation:
Step 1:
35 - 3m Equation
Step 2:
m = 4 Input m into equation
Step 3:
35 - 3 ( 4 ) Add m to the equation
Step 4:
35 - 12 Multiply
Answer:
23
Hope This Helps :)
Answer:
-3x + y = 8.
3y = 9x.
Step-by-step explanation:
To find the slope of the lines we convert to slope-intercept form, which is
y = mx + c (m is the slope.)
The slope of y = 3x + 5 is therefore 3.
Parallel lines have the same slope.
Finding the slope of the given lines:
-3x + y = 8
y = 3x + 8 - slope is 3 so this is parallel to y = 3x + 5.
3y = 9x
Divide through by 3:
y = 3x - so this is also parallel to 3x + 5.
y = -jx The slope is -j so it is not parallel.
16x + 2y = 12
2y = -16x + 12
y = -8x + 6 - Not parallel.
Answer:
Yes, the sales tax in their city is an example of regressive tax
Step-by-step explanation:
Firstly, we need to understand what is meant by the term regressive tax.
What is meant by a regressive tax system is a system of taxation in which there is a decrease in tax rate as there is an increase in amount subjected to tax.
Now, the key to knowing if what we have in the question is a regressive taxation is by calculating the percentage of the tax that was paid.
For the Roosevelt’s , the percentage of tax paid would be 16,000/91,000 * 100% = 17.6%
For the Jasper’s, the percentage of tax paid would be 16,000/37,000 * 100% = 43.24%
We can see that at a lower amount subjected to tax, the Jasper’s paid more and thus we can conclude irrevocably that sales tax in their city is an example of a regressive tax
We know that the angles of a triangle sum to 180°. For ΔABC, this means we have:
(4x-10)+(5x+10)+(7x+20)=180
Combining like terms,
16x+20=180
Subtracting 20 from both sides:
16x=160
Dividing both sides by 16:
x=10
This means ∠A=4*10-10=40-10=30°; ∠B=5*10+10=50+10=60°; and ∠C=7*10+20=70+20=90.
For ΔA'B'C', we have
(2x+10)+(8x-20)+(10x-10)=180
Combining like terms,
20x-20=180
Adding 20 to both sides:
20x=200
Dividing both sides by 20:
x=10
This gives us ∠A'=2*10+10=20+10=30°; ∠B'=8*10-20=80-20=60°; and ∠C'=10*10-10=100-10=90°.
Since the angle are all congruent, ΔABC~ΔA'B'C' by AAA.
Answer:
![\sqrt[4]{2}](https://tex.z-dn.net/?f=%5Csqrt%5B4%5D%7B2%7D)
Step-by-step explanation:
We start with the original problem:
So first we start by applying the quotient rule for powers, which tells you that whenever you are dividing two powers that have the same base and different power, you can copy the base and subtract the powers:
so:
which yields:
since we are talking about a rational exponent, we can next turn it into a radical by using the following rule:
![b^{\frac{1}{a}}=\sqrt[a]{b}](https://tex.z-dn.net/?f=b%5E%7B%5Cfrac%7B1%7D%7Ba%7D%7D%3D%5Csqrt%5Ba%5D%7Bb%7D)
so:
![2^{\frac{1}{4}}=\sqrt[4]{2}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B2%7D)
