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2 years ago

Evaluate the expression when x = -2 and y = 3.

Mathematics

2 answers:

zzz [600]2 years ago

6 0

Answer:

Step-by-step explanation:-8(-2)=16 +3= 19

vichka [17]2 years ago

4 0

The answer is letter A.19

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How do I answer this question letter a

FinnZ [79.3K]

The answer to letter A is (x-y)² because if x=5 and y= -3 the problem would be (5-(-3))² and when you have -- that means you add. ik weird right. So basically that would be 8² which equals 64. Rather then the other one which was (x+y)² because again that would be (5+(-3))² but different because of the addition sign. so, that's asking what 5-3 is which is 2² which equals 4. Making (x-y)² bigger. I hope this helped

8 0

2 years ago

Solve by graphing: y=3(x-2)^2-3

forsale [732]

Answer:

thank you !!!!

Step-by-step explanation:

6 0

3 years ago

What is the slope of the line that passes through 0(-4, 8) and (5, 2)?

zlopas [31]

Answer:

(-8,-4) and (-2,5). at reflect on x axis

4 0

2 years ago

Find the area of the region enclosed by the graphs of the functions

Vaselesa [24]

Answer:

$\displaystyle A = \frac{8}{21}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtraction Property of Equality

Algebra I

Terms/Coefficients
Functions
Function Notation
Graphing
Solving systems of equations

Calculus

Area - Integrals

Integration Rule [Reverse Power Rule]: $\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C$

Integration Rule [Fundamental Theorem of Calculus 1]: $\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)$

Integration Property [Addition/Subtraction]: $\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx$

Area of a Region Formula: $\displaystyle A = \int\limits^b_a {[f(x) - g(x)]} \, dx$

Step-by-step explanation:

*Note:

Remember that for the Area of a Region, it is top function minus bottom function.

Step 1: Define

f(x) = x²

g(x) = x⁶

Bounded (Partitioned) by x-axis

Step 2: Identify Bounds of Integration

Find where the functions intersect (x-values) to determine the bounds of integration.

Simply graph the functions to see where the functions intersect (See Graph Attachment).

Interval: [-1, 1]

Lower bound: -1

Upper Bound: 1

Step 3: Find Area of Region

Integration

Substitute in variables [Area of a Region Formula]: $\displaystyle A = \int\limits^1_{-1} {[x^2 - x^6]} \, dx$
[Area] Rewrite [Integration Property - Subtraction]: $\displaystyle A = \int\limits^1_{-1} {x^2} \, dx - \int\limits^1_{-1} {x^6} \, dx$
[Area] Integrate [Integration Rule - Reverse Power Rule]: $\displaystyle A = \frac{x^3}{3} \bigg| \limit^1_{-1} - \frac{x^7}{7} \bigg| \limit^1_{-1}$
[Area] Evaluate [Integration Rule - FTC 1]: $\displaystyle A = \frac{2}{3} - \frac{2}{7}$
[Area] Subtract: $\displaystyle A = \frac{8}{21}$

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Area Under the Curve - Area of a Region (Integration)

Book: College Calculus 10e

6 0

2 years ago

There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to r

GrogVix [38]

Answer:

Step-by-step explanation:

If you are doing probability with replacement they will all be 1/6 each time.

total there is 6/6. If you draw a yellow card first it's 1/6 then replace it and draw a blue it is still 1/6. so you take those two probabilities and multiply them (1/6)*(1/6)=1/36 1*1=1 and 6*6=36.

Your answer is 1/36

7 0

2 years ago