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2 years ago

Find the slope and the y-intercept of the graph of the linear equation. 1. y=3x-7 2. y-1=-2/3x

Mathematics

1 answer:

ELEN [110]2 years ago

5 0

Answer:

1) Slope: 3; y-intercept: -7

2) Slope: 2/3; y-intercept: 1

Step-by-step explanation:

y = mx + b; m is slope and b is y-intercept

1. y = 3x - 7

The equation is already in slope-intercept form, so you can find the slope and intercept.

Slope: 3

y-intercept: -7

2. y - 1 = 2/3x

For this one, you have to convert this into slope-intercept form (solving for y)

y - 1 = 2/3x

Add 1 to both sides

y - 1 + 1 = 2/3x + 1

y = 2/3x + 1

Now that the equation is in slope-intercept form, you can get the slope and y-intercept.

Slope: 2/3

y-intercept: 1

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Can someone explain to me how to solve problem 32?

krok68 [10]

Ok so parallel equations mean they have equal slope, but different y intercepts. Here, we can solve and get the equation:

y=2/5x-7/5

5 0

3 years ago

What is the rate of return when 35 shares of Stock A, purchased for $20/share, are sold for $815? The commission on the sale is

wariber [46]

Cost price:-

$\\ \sf\longmapsto 35\times 20$

$\\ \sf\longmapsto 700$

Commision=$6
Total sold price=815+6=823$

Now

Return=823-700=123

Rate of return

$\\ \sf\longmapsto \dfrac{123}{700}\times 100$

$\\ \sf\longmapsto \dfrac{123}{7}$

$\\ \sf\longmapsto 17.5\%$

7 0

2 years ago

Read 2 more answers

a rectangular blue tile has a length of 4.25 inches and a width of 6.75 inches. a similar tile has a length of 12.75 inches.what

Iteru [2.4K]

Answer:

The width of the red tile would be $2.25$ inches.

Step-by-step explanation:

Given blue tile has a length of $4.25$ inches, and a width of $6.75$ inches.

Also, length of similar tile is $12.75$ inches.

Let us assume $x$ as the width of red tile.

It is given in the question that both tiles are similar.

So, their area will be the same.

Area of blue tile would be $4.25\times 6.75=28.6875\ inch^2$

Area of red tile would be $12.75\times x$

The area of blue tile would be equal to area of red tile.

$28.6875=12.75\times x$

$\frac{28.6875}{12.75}=x\\\\x=2.25$

So, the width of the red tile would be $2.25$ inches.

5 0

3 years ago

The proof shows that opposite angles of a parallelogram are congruent. Given: ABCD is a parallelogram with diagonal AC. Prove: ∠

Rom4ik [11]

A parallelogram is a figure which has its opposite sides to be equal and parallel. The missing reason in the proof is:

B. Substitution Angle Angle Postulate.

A parallelogram is a type of quadrilateral that has its opposite sides to be equal and parallel. The sum of its internal angles is $360^{o}$ .

To prove that ∠ BAD ≅ ∠ DCB, we have:

Given parallelogram ABCD;

<BAC ≅ <ACD (alternate angle theorem)

<DAC ≅ <ACB (alternate angle theorem)

<BAC + <DAC = <BAD

Also,

<BCA + <DCA = <BCD

Therefore,

<BAD ≅ <DCB (Substitution Angle Angle Postulate)

Thus, the missing reason in the partial proof is:

option B. Substitution Angle Angle Postulate

A sketch is attached to this question for more clarifications.

Visit: brainly.com/question/3100335

4 0

2 years ago

Carbon-14 has a half-life of 5730 years. In a plant fossil, you find that the 14C has decayed to 1/8.00 of the original amount.

drek231 [11]

Note that 8.00 = (2.00)^3, that implies that a decay to 1/8.00 means that the Carbon-14 has passed 3 half-life. (1 to decay to 1/2, other to decay to 1/4, and other to decay to 1/8). And, three half-life is 3 * 5730 years = 17,920 years. So, the answer is that the plant was alive 17,920 years.

7 0

3 years ago