Answer:
8y⁴+25y³+60y²+10y+7
Step-by-step explanation:
8y⁴+y³+y²+24y³+3y²+3y+56y²+7y+7
8y⁴+25y³+60y²+10y+7
Answer:
x = no solutions
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtract Property of Equality
Step-by-step explanation:
<u>Step 1: Define</u>
-2(x + 5) = -2(x - 2) + 5
<u>Step 2: Solve for </u><em><u>x</u></em>
- Distribute -2: -2x - 10 = -2x + 4 + 5
- Add: -2x - 10 = -2x + 9
- Add 2x on both sides: -10 ≠ 9
Here we see that -10 does not equal 9.
∴ x = no solutions.
Start by finding the area of the base.
A = lw
A = 3 x 3
A = 9 square feet.
Sides use the formula of a triangle: 1/2bh
A = 1/2bh
A = 1/2(3)(5)
A = 1/2(15)
A = 7.5
Next, there are 4 sides, so multiply the side area by 4.
7.5 * 4 = 30 square feet.
Lastly add all surface areas together:
30 + 9 = 39 square feet.
Answer:
-3 and -4
Step-by-step explanation:
f(x) = g(x) will be the input or x value at which f and g have the same output or y value. Look in the table where two numbers repeat right next to each other.
−6 −4 1
−5 0 2
−4 4 4
−3 8 8
−2 12 16
−1 16 32
0 20 64
The solution to f(x)=g(x) is both x = -4 and x=-3.
Answer:
All of these could do this.
Step-by-step explanation:
Normal distribution is a form of probability distribution that is symmetric about the mean, to depict data near the mean are more frequent in occurrence than data far from the mean. Normality of data can be measured by either power or the Shapiro-Wilk test.
Some ways of testing the normal distribution of data are by:
i. Histogram, which is a data visualization that shows the distribution of plotted sample data. The frequency of occurrence per value in the data set determines its distribution.
ii. Interpretation of the shape.
iii. Probability plot of the data, e.g Box Plot, QQ Plot etc. If the dots fall exactly on the black line, then a given sample of data are normal. If not, otherwise.
iv. Calculating interquartile range (IQR), which is a measure of variability. Sample of data are normally distributed when the interquartile range (IQR) is 1.34896.
Therefore, all the given methods could be used to determine if the data is normally distributed.
