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Neko [114]
3 years ago
8

The equation of straight line passing through the point (1,2) and parallel to the line y = 3x + 1 is (a) y = 3x - 1 (b) y = -3x

+1 (c) y = -3x - 1 (d) y = 3x + 1​
Mathematics
1 answer:
Tatiana [17]3 years ago
8 0

Answer:

the answer is y=-3x+5

since it's parallel, the slope is the same. so m=-3

use point slope formula y-y1=m(x-x1) and plug in the slope and the point

y-2=-3(x-1)

y-2=-3x+3

y=-3x+5

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A number b minus 6.9 is less than or equal to 12 . Write this word sentence as an inequality.
Maksim231197 [3]

Answer:

b-6.9\leq 12

Step-by-step explanation:

Try to say it and then write it out. I hope this helps.

6 0
3 years ago
Two of the most popular options on a certain type of new car are automatic transmission and built-in GPS. Suppose that 90% of al
padilas [110]

Answer:

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

Step-by-step explanation:

We solve this question treating these probabilities as Venn sets.

I am going to say that:

Event A: Requesting automatic transmission

Event B: Requesting built-in GPS

90% of all buyers request automatic transmission

This means that P(A) = 0.9

82% of all buyers request built-in GPS

This means that P(B) = 0.82

77% of all buyers request both automatic transmission and built-in GPS.

This means that P(A \cap B) = 0.77

What is the probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

This is P(A \cup B), which is given by:

P(A \cup B) = P(A) + P(B) - P(A \cap B)

So

P(A \cup B) = 0.9 + 0.82 - 0.77 = 0.95

0.95 = 95% probability that the next person to purchase this car will request at least one of automatic transmission or built-in GPS

3 0
3 years ago
A – If P(n,4) = 20 × P(n,2), determine the value of n.
Kaylis [27]

Answer:

P(n,4)÷P(n,2)

= (n-2)(n-3)

20 = 4 × 5 (two consecutive numbers)

(n-2)(n-3)=5×4

n-2=5

n=7

4 0
4 years ago
If x = –3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the e
natita [175]

Equations don't really have x intercepts, functions or curves do. They're also known as the zeros of the function.  When we set a function equal to zero we get an equation to solve, and the zeros of the function become the solutions or roots of the equation.

If a quadratic equation only has one root, that's a repeated root corresponding to a discriminant of zero.

In this example our equation is something like 2(x+3)^2=0, or expanded

2x^2+12x + 18 = 0

The discriminant d=b^2-4ac here is

d = 12^2 - 4(2)(18) = 0 \quad\checkmark


7 0
3 years ago
Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the
Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

<u />

<u>You can use the distance formula (d = rt) to solve this problem.  </u>

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C  

R + C is their rowing speed (R) plus the rate of the current (C).  

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).  

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

<u>Calculations</u>

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0
3 years ago
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