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3 years ago

PLEASE HELP ASAP!!! 98 POINTS AND BRAINLIEST!!!

Mathematics

1 answer:

Svet_ta [14]3 years ago

3 0

Answer:

Slope of Function B = - Slope of Function A

Step-by-step explanation:

Function A

f(x) = - 2x + 1

This is in the form y = mx+b where m is the slope

The slope is -2

Function B

We have 2 points so we can calculate the slope

(0,-3) and (2,1)

m = (y2-y1)/(x2-x1)

= (1--3)/(2-0)

= (1+3)/(2-0)

=4/2

Slope of A = -2 Slope B =2

The are opposites

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Graph the line with slope -3 passing through the point (3,-4)

Vinvika [58]

Given: $\textsf{Slope = -3, Passes through (3, -4)}$

Find: $\textsf{Equation in slope-intercept form}$

Solution: The first step that we need to take is to plug the given values into the point-slope formula which would help us out since we have both the slope and a point. Using that we would then distribute on the right side of the expression and then subtract 4 from both sides which would isolate y.

Plug in the values

$y - y_1 = m(x - x_1)$

$y - (-4) = -3(x - 3)$

Distribute

$y + 4 = (-3 * x) + (-3 * - 3)$

$y + 4 = -3x + 9$

Subtract 4 from both sides

$y + 4 - 4 = -3x + 9 - 4$

$y = -3x + 9 - 4$

$y = -3x + 5$

Therefore, after plugging in the values and completing the rest of the steps we were able to determine that equation of the data provided would be $y = -3x + 5$ .

7 0

1 year ago

Solve for x: 4(x+6) = 2-6 (x+3)

laiz [17]

Answer:

x = - 4

Step-by-step explanation:

6 0

2 years ago

Simone raced 280 km from Perry to Medford and then idled back. If the round trip took 7 hours, what was Simone's average speed i

Gwar [14]

Answer:

80 KPH

Step-by-step explanation:

The total trip was 280*2 (the trip to perry and then to come back home)

divide this by the 7 hours it took him, and you get your answer. Enjoy!

6 0

2 years ago

Can i have help plzzzzz

leonid [27]

Answers:

Choice C) 1.5 + AB = 3.7

AB = 2.2 cm

====================================================

Explanation:

Segment AC can be cut into two smaller pieces AB and BC. The piece AB is of unknown length for now, while BC is 1.5 units long.

The expression AB+1.5 or 1.5+AB represents us adding those two smaller pieces together. Doing so will lead to the length of AC.

Therefore, 1.5 + AB = 3.7 is one valid equation to set up.

------------

To solve that equation, we subtract 1.5 from both sides to undo the addition operation done to AB.

1.5 + AB = 3.7

AB = 3.7 - 1.5

AB = 2.2

Notice how,

1.5 + AB = 1.5 + 2.2 = 3.7

to help confirm our answer.

5 0

2 years ago

A standard number cube has 6 sides labeled 1 to 6. apu rolls a standard number cube 30 times. How many times can

Leviafan [203]

Answer:

The expected value of rolling a 5 or 6 is 10.

Step-by-step explanation:

The sample space of rolling a standard number cube is:

S = {1, 2, 3, 4, 5 and 6}

The cube is standard, this implies that each side has an equal probability of landing face-up.

So, the probability of all the six outcomes is same, i.e. $\frac{1}{6}$ .

Now it is provided that Apu rolls the cube n = 30 times.

Let the random variable X represent the value on the face of cube.

The event of rolling a 5 and rolling a 6 are mutually exclusive, i.e. they cannot occur together.

So, P (X = 5 and X = 6) = 0.

Compute the probability of getting a 5 or 6 as follows:

P (X = 5 or X = 6) = P (X = 5) + P (X = 6) - P (X = 5 and X = 6)

= P (X = 5) + P (X = 6)

$=\frac{1}{6}+\frac{1}{6}\\\\=\frac{2}{6}\\\\=\frac{1}{3}$

Compute the expected value of rolling a 5 or 6 as follows:

$E(X = 5\ \text{or}\ X = 6)=n\times P(X = 5\ \text{or}\ X = 6)$

$=30\times \frac{1}{3}\\\\=10$

Thus, the expected value of rolling a 5 or 6 is 10.

8 0

2 years ago