Answer:
-1/32
Step-by-step explanation:
To evaluate the expression, substitute x = 2 and y = -4. Then use exponent rules to simplify. Review the rules here:
To evaluate or simplify expressions with exponents, we use exponent rules.
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Answer:
y = -2x + 4
Step-by-step explanation:
First find slope:
We know equation of a line is y = mx + b, where m = slope and b = y-intercept, so we can plug in the slope:
y = -2x + b
The y-intercept of the equation is 4 because the coordinate (0, 4) is given. Therefore, the equation is:
y = -2x + 4
Answer:
<u>always</u>
Step-by-step explanation:
For this hypothesis test:
<u>The Decision rule: </u> To reject the null hypothesis 
if the p-value is lesser than < the significance level.
At the level of significance 0.01, the null hypothesis is rejected.
So, p-value < 0.01 and this typically shows that p-value is < 0.05.
Therefore, it will <u>always</u> be rejected at ∝ = 0.05
Answer:
A and C are similar
Step-by-step explanation:
The sum of a triangles angles = 180
If you calculate the remaining angles, you will see that both A and C have the same angles and therefore are similar.
Step-by-step explanation:
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