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3 years ago

Please help me find the function to y

Mathematics

1 answer:

Fed [463]3 years ago

8 0

Answer:

(-1, -7) (0, -1) (1, 5) (5, 29)

Step-by-step explanation:

okay so the equation is y = 6x - 1

all you have to do is plug in all the x values to get the y

y = 6(-1) - 1

y = - 6 - 1

y = -7

y = 6(0) - 1

y = 0 - 1

y = -1

y = 6(1) - 1

y = 6 - 1

y = 5

y = 6(5) - 1

y = 30 - 1

y = 29

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erma4kov [3.2K]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Find the multiplicative inverse of 6 + 2i

Marina CMI [18]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2774989

________________

Find the multiplicative inverse of

$\mathsf{z=6+2i}$

________

The inverse multiplicative of $\mathsf{z=a+bi}$ is

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\qquad\quad(a\ne 0~~and~~b\ne 0)}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\cdot \dfrac{a-bi}{a-bi}}\\\\\\
=\mathsf{\dfrac{1\cdot (a-bi)}{(a+bi)\cdot (a-bi)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-\,\diagup\hspace{-10}abi+\,\diagup\hspace{-10}abi-(bi)^2}}$

$=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot i^2}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot (-1)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2+b^2}}\\\\\\\\
\therefore~~\mathsf{\dfrac{1}{a+bi}=\dfrac{a}{a^2+b^2}-\dfrac{b}{a^2+b^2}\,i\qquad\quad\checkmark}$

________

For this question,

$\mathsf{z=6+2i}$

So,

$\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{6+2i}}\\\\\\
=\mathsf{\dfrac{6}{6^2+2^2}-\dfrac{2}{6^2+2^2}\,i}\\\\\\
=\mathsf{\dfrac{6}{36+4}-\dfrac{2}{36+4}\,i}\\\\\\
=\mathsf{\dfrac{6}{40}-\dfrac{2}{40}\,i}$

$\therefore~~\mathsf{\dfrac{1}{z}=\dfrac{3}{20}-\dfrac{1}{20}\,i}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

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3 years ago

Read 2 more answers

Victor bought a new soccer ball. The original price was $29.99, but the ball was on sale for 15% off. What was the sale price?

Inessa [10]

Answer:

Sale price= $25.5

Step-by-step explanation:

Giving the following information:

The original price was $29.99, but the ball was on sale for 15% off.

<u>To calculate the sales price, we need to use the following formula:</u>

<u></u>

Sale price= original price* (1 - sales discount)

Sale price= 29.99*(1 - 0.15)

Sale price= $25.5

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2 years ago

What is the simplified form of the quantity of x plus 6, all over 3 − the quantity of x plus 2, all over 3?

olganol [36]

$\dfrac{x+6}{3}-\dfrac{x+2}{3}=\\\dfrac{x+6-x-2}{3}=\\
\dfrac{4}{3}$

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2 years ago

Given STUV is a rectangle. Which of the following proves △WVS≅△WUT?

arsen [322]

Option B is the correct answer.

ΔWVS ≅ ΔWUT

Solution:

Given STUV is a rectangle.

To prove that ΔWVS ≅ ΔWUT:

Step 1: Given STUV is a rectangle.

Step 2: All the angles in the rectangle are right angles.

So that, ∠V = ∠U = 90°

Step 3: ∠V ≅ ∠U (Angle)

Step 4: All rectangles are parallelograms.

Therefore STUV is a parallelogram.

Step 5: In parallelogram opposite sides are congruent.

Therefore, SV ≅ TU (Side)

Step 6: Given WV ≅ WU (Side)

Step 7: From step 3, step 5 and step 6

ΔWVS ≅ ΔWUT by SAS congruence rule.

Option B is the correct answer.

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3 years ago