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timama [110]
3 years ago
9

A line has a slope of -3 and y-intercept of 2.

Mathematics
1 answer:
Pie3 years ago
5 0

AnswA line can be written in the form y = mx + b where m is the slope and b is the y intercept.

Since the slope is given as 4, the equation will be y = 4x + b

Plugging in the point (2,1) to the equation we get 1 = 4(2) + b or 1 = b + 8

Solving for b gives b = -7 so the equation will be y = 4x - 7er:

Step-by-step explanation:

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Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director
Alex73 [517]

Answer: The answer is:

d=220, b=300

Step-by-step explanation:

You could solve this problem using a series of equations:

d+b=520

b-80=d

How I solve this is:

If d+b=520, you could divide 520 by 2 and say that d and b's average is 260 (though that is not their value).

Then , you know that the difference between them is 80. Since the average is 260, you could add half of 80 (which is 40) and subtract the same to get 220 and 300, which, as you can see, have a difference of 80 and add up to 520. Now you have to find out which is which.

Since 80 fewer tickets were purchased at the door than before the concert (d+80=b (the second equation)), you know that the number of tickets at the door is the lesser number, making the answer:

d=220, b=300


3 0
3 years ago
Read 2 more answers
11 The sides of two similar triangle are in a ratio of 5:6. The area of the larger triangle is 108.
Elodia [21]

Answer:

The area of the smaller triangle is 75.

Step-by-step explanation:

Here, the ratio of the sides of the similar triangle are 5 : 6

The area if the larger triangle = 108

let us assume that the area of the smaller triangle = m

By the Theorem:

In two similar triangles, the ratio of the areas of similar triangles is the square of the ratio of their sides.

Similarly, here

[tex](\frac{5}{6}) ^2  = \frac{m}{108}[/tex]

⇒\frac{(5)^2}{(6)^2}   = \frac{m}{108}

or, \frac{25}{36}   = \frac{m}{108}  \implies m = \frac{108 \times 25}{36}  = 75

⇒ m = 75

Hence, the area of the smaller triangle is 75.

6 0
3 years ago
Decompose 5/15 and 8/12
AnnZ [28]

Answer:

:)

Step-by-step explanation:

5/15 divided by 5 is equal to 1/3 and

8/12 divided by 2 is 4/6 divided by 2 is 2/3

You have to divide the numerator with the same number that you divide the denominator with.  

6 0
2 years ago
There are 60 minutes in an hour. The total number of minutes is a function of the number of hours, as shown in the table. Does t
patriot [66]
The answer is a. <span>It represents a linear function because there is a constant rate of change. This can be done the opposite way, but lets use minutes as x and hours as y. Every time y increases by 1, x increases by 60. This means there is a constant rate of change of 1 (rise) over 60 (run). A linear equation must have a constant rate of change.</span>
6 0
3 years ago
Read 2 more answers
The taste test for PTC (phenylthiourea) is a common class demonstration in the study of genetics. It is known that 70% of the Am
AysviL [449]

Answer:

The variance for the number of tasters is 4.2

Step-by-step explanation:

For each person, there are only two possible outcomes. Either they are tasters, or they are not. The probability of a person being a taster is independent of any other person. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The variance of the binomial distribution is:

V(X) = np(1-p)

It is known that 70% of the American people are "tasters" with the rest are "non-tasters". Suppose a genetics class of size 20

This means that p = 0.7, n = 20

So

V(X) = np(1-p) = 20*0.7*0.3 = 4.2

The variance for the number of tasters is 4.2

7 0
3 years ago
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