All categories

3 years ago

(05.03 LC) 15 POINTS + BRANLIEST PLEASE HELP!!!!!

Mathematics

2 answers:

Vanyuwa [196]3 years ago

8 0

Initial value is the value of y where x = 0 (y-intercept).

You are already given that line contains point (0, 5). The y-coordinate is 5 therefore answer is C.
Please mark Brainliest

meriva3 years ago

4 0

Answer: 5

Step-by-step explanation:

We know that when a liner function is represented by a graph i.e. by a line, then its initial value is represented by the y intercept of the line.

In the given graph , we can see that the y-intercept of the function is point (0,5).

The y -intercept of the function : $y=5$

Then , the initial value of the function will also be 5.

Hence, the initial value of the function represented by this graph=5

You might be interested in

Kelvin ordered four pizzas for a birthday party. The pizzas were cut into eighths. How many slices were there? (Draw a picture t

7nadin3 [17]

Answer:

32 slices are there thankyou

8 0

2 years ago

Read 2 more answers

Which of the following represents "next integer after the integer n"? On On + 1 O2n

tigry1 [53]

Answer:

Option B.

Step-by-step explanation:

Integer: A non fractional complete number is known as integer. It can be either positive or negative or zero.

For examples : ...,-3,-2,-1,0,1,2,3,...

It is a clear that the difference between two consecutive integers is 1. It means we have to add 1 in the integer to get the next integer.

We need to express "next integer after the integer n" mathematically. So, we need to add 1 in n.

Required expression $=n+1$

Hence, the next integer after the integer n is n+1.

Therefore, the correct option is B.

6 0

3 years ago

The probability of a chance event is 0.5, it is __________ to happen when compared to a chance event with a probability of 1.

nignag [31]

Answer:

less likely

Step-by-step explanation:

Probability is between 0 and 1 so 1 is guaranteed to happen and 0 is guaranteed to not happen

3 0

2 years ago

Read 2 more answers

Find the greatest common factor of 24, 64, 108.

Ainat [17]

Answer:

The answer is 4.

Step-by-step explanation:

To find the greatest common factor (GCF), start by listing the factors of each number.

For 24: 1, 2, 3, 4, 6, 8, 12, 24

For 64: 1, 2, 4, 8, 16, 32, 64

For 108: 1, 2, 3, 4, 6, 9, 12, 18

Since all the factors are now written out, we can find the greatest common factor between 24, 64, and 108, and the GCF is 4.

6 0

3 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

3 years ago