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3 years ago

what is the slope-intercept form of this equation? 8x 6y=12 a) y=-4/3x 2 b)y=-4/3x 6 c)y=4/3x 6 d)y=2/3x 2

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

8x + 6y = 12

6y = -8x + 12

y = -8x/6 + 12/6

y = -4x/3 + 2 option B

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You know 4−3i is the complex conjugate of 4+3i. If you multiply the denominator of −2+5i4+3i by 4−3i, what will you get? Enter y

Alona [7]

Answer:

Step-by-step explanation:

Given

(-2 + 5i)/(4 + 3i)

Required

Multiply the denominator by 4 - 3i

The denominator of the fraction above is 4 + 3i

When multiplied by 4 - 3i, the result is as follows;.

Result = (4 + 3i)(4 - 3i)

Expand

Result = 4(4 - 3i) + 3i(4 - 3i)

Open both brackets (take it one at a time)

Result = 4 * 4 - 4 * 3i + 3i(4 - 3i)

Result = 16 - 12i + 3i(4 - 3i)

Open the second bracket

Result = 16 - 12i + 12i - 3i * 3i

Result = 16 - 12i + 12i - 9i²

In complex numbers, i = √-1

i² = (√-1)²

i² = √-1 * √-1

i² = -1

The expression

Result = 16 - 12i + 12i - 9i²

Becomes

Result = 16 - 12i + 12i - 9(-1)

Result = 16 - 12i + 12i + 9

Collect like terms

Result = 16 + 9 + 12i - 12i

Result = 25 + 0

Result = 25

Hence, when the denominator of the fraction is multiplied by 4 - 3i, the result is 25

3 0

3 years ago

1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In e

Helen [10]

Answer:

(a) a function, but not one-to-one

Step-by-step explanation:

The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.

The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.

Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).

The graph is a function, but not one-to-one.

6 0

2 years ago

With explanation plz.. ( -2) + 9 * 10 Order of Operation

kondor19780726 [428]

Parentheses, Exponent, Multiply, Division, Addition, Subtraction is your order (aka PEMDAS). Multiply 9x10 which gives you 90, then add -2 (or subtract 2) and your answer is 88.

3 0

3 years ago

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An aquarium sells five stuffed animal sharks for $64.95. What is the cost of eight stuffed animal sharks?

Gekata [30.6K]

$103.92

Process:
64.95/5 = 12.99, 12.99 x 8 = 103.92

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3 years ago

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Can you help me with this algebra 2 question please

gtnhenbr [62]

Hey!!

here is your answer >>>

(Cube root 27 ) (cube root 64)

cube root of 27 is 3 and cube root of 64 is 4!.

now if we multiply them, we get

(3)(4)

12 !.

The answer is 12!.

Hope my answer helps!

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3 years ago