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abruzzese [7]
3 years ago
15

A line's y -intercept is 10,and its slope is 9 . What is its equation in slope-intercept form?

Mathematics
1 answer:
LenaWriter [7]3 years ago
3 0

Answer:

y = 9x + 10

Step-by-step explanation:

y = mx + b

Here, m is slope and b is y-intercept

y = 9x + 10

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Sam read 60 pages, which is 3/4 of the book. How many pages are there in the book?
Elenna [48]

Divide the pages read by the portion read:

60/ 3/4 = 60 x 4/3 = 240/3 = 80

The book has 80 pages.

3 0
3 years ago
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<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B2%7D%5E%7Bx%20%2B%202%7D%20-%20%20%7B2%7D%5E%7B%20x%20%2B%203%7D%20%7D%7B%2
weeeeeb [17]

I suppose you just have to simplify this expression.

(2ˣ⁺² - 2ˣ⁺³) / (2ˣ⁺¹ - 2ˣ⁺²)

Divide through every term by the lowest power of 2, which would be <em>x</em> + 1 :

… = (2ˣ⁺²/2ˣ⁺¹ - 2ˣ⁺³/2ˣ⁺¹) / (2ˣ⁺¹/2ˣ⁺¹ - 2ˣ⁺²/2ˣ⁺¹)

Recall that <em>n</em>ª / <em>n</em>ᵇ = <em>n</em>ª⁻ᵇ, so that we have

… = (2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺³⁾ ⁻ ⁽ˣ⁺¹⁾) / (2⁽ˣ⁺¹⁾ ⁻ ⁽ˣ⁺¹⁾ - 2⁽ˣ⁺²⁾ ⁻ ⁽ˣ⁺¹⁾)

… = (2¹ - 2²) / (2⁰ - 2¹)

… = (2 - 4) / (1 - 2)

… = (-2) / (-1)

… = 2

Another way to get the same result: rewrite every term as a multiple of <em>y</em> = 2ˣ :

… = (2²×2ˣ - 2³×2ˣ) / (2×2ˣ - 2²×2ˣ)

… = (4×2ˣ - 8×2ˣ) / (2×2ˣ - 4×2ˣ)

… = (4<em>y</em> - 8<em>y</em>) / (2<em>y</em> - 4<em>y</em>)

… = (-4<em>y</em>) / (-2<em>y</em>)

… = 2

8 0
3 years ago
Write the radical below in the simplest radical form<br><br> √210 <br><br> Pls show ur work
Anna [14]

Answer:

\sqrt{210}

Step-by-step explanation:

Let's look at the prime factors of 210.

210 = 2 * 3 * 5 * 7

\sqrt{210} = \sqrt{2 \times 3 \times 5 \times 7} = \sqrt{210}

Since no factor appears more than once, this radical cannot be simplified.

3 0
2 years ago
(50 POINTS) Math Inverse Functions please help
Afina-wow [57]

Answer:

See below.

Step-by-step explanation:

An inverse function has the x and y coordinates switched. For example, if a function has point (1, 3), then the inverse function has point (3, 1).

Let's find the ordered pairs of the inverse function. We take all the ordered pairs of the original function:

(1, 3), (7, 4), (8, 6), (9, y)

Now we switch x and y in each ordered pair to come up with the inverse function.

The inverse function has these ordered pairs:

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For a relation to be a function, a value used as an x-coordinate can appear only once.

The last ordered pair is (y, 9). For the inverse relation to be a function, y cannot be 3, 4, or 6.

4 0
3 years ago
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F. How many miles could be driven with 18 gallons of<br> gas?
3241004551 [841]

Answer:

21.5 or 26.8

Step-by-step explanation:

a car with a 18 gallon gas tank can average 21.5 miles per gallon when driven in the stop and go traffic of the city and 26.8 miles per gallon when driven on the highway

8 0
3 years ago
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