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2 years ago

Find the y intercept. y=-(2^x)

Mathematics

1 answer:

castortr0y [4]2 years ago

4 0

Hello!

To find the y-intercept of any given equation, you will need to substitute x for zero.

Also, to write the y-intercept as an ordered pair, it will look like (0, y), where y is the y-intercept, and x-value is zero because we substituted zero into all the x-values of the equation.

y = -(2^x) (substitute x = 0)

y = -(2^0) (any exponent raised to the power of zero is equal to one)

y = -(1) (simplify)

y = -1

Therefore, the y-intercept of the function y, is (0, -1).

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Mary read 2/5 of a book in 15 minutes. How much of the book can she read per hour? book per hour.

Yuliya22 [10]

Answer:½((n/2) – ½) – ½ = 10

½(n/2) – ¼ - ½ = 10 (using the distributive property)

¼n – ¼ - ½ = 10 (multiplying to eliminate the parentheses)

¼n – ¾ = 10 (combining like terms)

¼n = 10¾ (adding ¾ to both sides of the equation)

n = 43 (dividing both sides of the equation by ¼)

Step-by-step explanation:

Let’s start by writing Josie’s first step as an expression. Dividing n by 2, then subtracting ½ from

the result would be (n/2) – ½. If we build on this expression with the information in Josie’s

second step, we get ½((n/2) – ½) – ½. Knowing the final result is 10, we can set up the equation

below, and solve for n as follows: hope this helps

8 0

1 year ago

Read 2 more answers

That are equal to 4⋅10-3:

kozerog [31]

Answer: 37

Explanation:

Order of operations says you do multiplication first, you get 4 • 10 = 40

Then do subtraction, so 40 - 3 = 37

Hope this helps!

7 0

2 years ago

find the digit in units place in the expansion of the following: 1) 2¹⁹⁶⁷ 2) 3¹⁹⁶⁹ 3)4¹⁹⁷⁰ 4) 4¹⁹⁷¹ 5) 5⁵⁵⁵ 6) 6¹⁰⁰⁰ 7) 7²⁰⁰⁷ 8)

diamong [38]

Answer:

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Step-by-step explanation:

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5 0

2 years ago

Mrs. Reed collects shells. Each shell in her collection weighs about 4 ounces. Her collection weighs about 12 pounds in all. Abo

Mariana [72]

Answer:

There are about 48 shells in Mrs. Reeds collection.

Step-by-step explanation:

There are 16 ounces per 1 pound.

4 ounces per shell.

16 x 12 = 192 ounces

192 ounces divided by 4 = 48

8 0

2 years ago

*In ∆ABC, on the extension of the side BC , draw a line segment CD ≅ CA . Draw the segment AD . The line segment CE is the angle

Leya [2.2K]

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Step-by-step explanation:

In ∆ABC

On the extension of the side BC , draw a line segment CD ≅ CA
Draw the segment AD
The line segment CE is the angle bisector of ∠ACB
The line segment CF is the median towards AD in ∆ ACD

We want to prove that CF ⊥ CE

Look to the attached figure

In Δ ABC

∵ CE is the bisector of angle ACB

∴ ∠ACE ≅ ∠BCE

In Δ ACD

∵ CA = CD

∴ Δ ACD is an isosceles triangle

∵ AD is the median towards AD

- In any isosceles triangle the median from a vertex to its opposite

side bisects this vertex

∴ AD bisects ∠ACD

∴ ∠ACF ≅ ∠DCF

∵ BCD is a straight segment

∵ CE , CA , CF are drawn from point C

∴ m∠BCE + m∠ACE + m∠ACF + m∠DCF = 180°

∵ m∠ACE ≅ m∠BCE

∵ m∠ACF ≅ m∠DCF

- Replace m∠BCE by m∠ACE and m∠DCF by m∠ACF

∴ m∠ACE + m∠ACE + m∠ACF + m∠ACF = 180°

∴ 2 m∠ACE + 2 m∠ACF = 180°

- Divide all terms by 2

∴ m∠ACE + m∠ACF = 90°

∴ EC ⊥ CF

CE ⊥ CF because m∠ECA + m∠FCA = 90°

Learn more:

You can learn more about perpendicular lines in brainly.com/question/11223427

#LearnwithBrainly

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2 years ago