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2 years ago

What is the slope of a line that has a y-intercept but no x intercept

Mathematics

1 answer:

IRINA_888 [86]2 years ago

7 0

Answer:

The slope of a line that has a y-intercept but no x-intercept will be zero.

Step-by-step explanation:

If the line has no x-intercept, then it never intersects the x-axis, so it must be parallel to the x-axis.

If a line does not have an x-intercept, it means it would never intersect the x-axis.

Thus, it must be parallel to the x-axis, meaning its slope will be zero. It would be just a horizontal line.

For example, y=9 is the line equation that does not have an x-intercept and its slope is zero.

Therefore, the slope of a line that has a y-intercept but no x-intercept will be zero.

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If the gradient of the tangent to

Marizza181 [45]

Answer:

Point A(9, 3)

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

Coordinates (x, y)
Functions
Function Notation
Terms/Coefficients
Anything to the 0th power is 1
Exponential Rule [Rewrite]: $\displaystyle b^{-m} = \frac{1}{b^m}$
Exponential Rule [Root Rewrite]: $\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}$

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

f(x) = cxⁿ
f’(x) = c·nxⁿ⁻¹

Derivative Rule [Chain Rule]: $\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)$

Step-by-step explanation:

Step 1: Define

Identify

$\displaystyle y = \sqrt{x}$

$\displaystyle y' = \frac{1}{6}$

Step 2: Differentiate

[Function] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y = x^{\frac{1}{2}}$
Basic Power Rule: $\displaystyle y' = \frac{1}{2}x^{\frac{1}{2} - 1}$
Simplify: $\displaystyle y' = \frac{1}{2}x^{-\frac{1}{2}}$
[Derivative] Rewrite [Exponential Rule - Rewrite]: $\displaystyle y' = \frac{1}{2x^{\frac{1}{2}}}$
[Derivative] Rewrite [Exponential Rule - Root Rewrite]: $\displaystyle y' = \frac{1}{2\sqrt{x}}$

Step 3: Solve

Find coordinates of A.

x-coordinate

Substitute in y' [Derivative]: $\displaystyle \frac{1}{6} = \frac{1}{2\sqrt{x}}$
[Multiplication Property of Equality] Multiply 2 on both sides: $\displaystyle \frac{1}{3} = \frac{1}{\sqrt{x}}$
[Multiplication Property of Equality] Cross-multiply: $\displaystyle \sqrt{x} = 3$
[Equality Property] Square both sides: $\displaystyle x = 9$

y-coordinate

Substitute in x [Function]: $\displaystyle y = \sqrt{9}$
[√Radical] Evaluate: $\displaystyle y = 3$

∴ Coordinates of A is (9, 3).

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

Unit: Derivatives

Book: College Calculus 10e

7 0

3 years ago

The height of a fireworks rocket in meters can be approximated by h= -5t^2+30t, where h is the height in meters and t is the tim

Crazy boy [7]

It takes 45 seconds. the easiest way to do these is to use a graphic calculator and replace the variables with x and y, for example, this equation would become -5x^2+30x, and if you don't have access to a graphing calculator, you can always use desmos online.

3 0

2 years ago

Read 2 more answers

What is 21/56 simplified

lozanna [386]

$21=3\cdot7\\56=8\cdot7\\\\\frac{21}{56}=\frac{3\cdot\not7^1}{8\cdot\not7_1}=\boxed{\frac{3}{8}}$

3 0

3 years ago

Read 2 more answers

How to do it and the answer

Anastasy [175]

Answer:

Answer is :- Each pork chop weight is 4.8 ounces.

Step-by-step explanation:

Given,

A 3 pound pork can be cut into 10 pork chops of equal weight.

Weight of one pork chop = 3/10 pounds

or Weight of one pork chop = 0.3 pound

We can convert 0.3 pounds into ounces

Since 1 pound = 16 ounces

Then, 0.3 pound = 16 * 0.3 ounces

or 0.3 pound = 4.8 ounces

Hence each pork chop weight is 4.8 ounces.

8 0

3 years ago

What is the probability of getting either a sum of 5 or at least one 5 in the roll of a pair of dice?

maria [59]

In a throw of 2 fair dice, there are 6*6=36 equiprobability outcomes.

To get a sum of 5, there are 4 ways, (1,4),(2,3),(3,2),(4,1) with probability of 4/36=1/9

To get at least one 5, there are 6+6-1=11 outcomes (note (5,5) has been counted in both, so subtracted from sum). The probability is 11/36

Since the two events are mutually exclusive (once we have a five, the sum can no longer be 5), we can add the probabilities to get the probability of one event or the other.

P(sum of 5 OR at least one 5)=1/9+11/36=4/36+11/36=15/36=5/9

4 0

3 years ago