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2 years ago

What is the y-intercept of f(x) = 3x+2?

Mathematics

2 answers:

ICE Princess25 [194]2 years ago

8 0

Answer:

y-intercept is 2.

Step-by-step explanation:

y- intercept is the point where the graph intersects the y-axis. And in y-axis the x coordinate of the point is zero.

Hence, for y-intercept substitute x=0

The given equation is $f(x)=3x+2$

On substituting x=0

$y=3\cdot0+2\\\\y=0+2\\\\y=2$

Therefore, y-intercept is 2.

vaieri [72.5K]2 years ago

6 0

(0,9) just did this problem :^)

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3c - b = 2a solve for c

alekssr [168]

Answer:

$c = \frac{2a + b}{3}$

Step-by-step explanation:

$3c - b = 2a \\ 3c = 2a + b \\ \frac{3c}{3} = \frac{2a + b}{3} \\ c = \frac{2a + b}{3}$

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2 years ago

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What’s Distribute -x(5x+2)

MaRussiya [10]

Answer:

-5x^2-2x

Step-by-step explanation:

When distributing, you multiply the term outside the brackets to all the terms in brackets.

If the term outside the bracket is negative, then when distributing/opening the brackets, the signs of the terms changes.

So in this prob. -x would multiply to both +5x and +2

-x*5x+-x*2

∴-5x^2-2x

4 0

3 years ago

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The following are the ages (years) of 5 people in a room:

slava [35]

Answer:

The age of the person who entered the room is 15

Step-by-step explanation:

We are given:

Ages of 5 people in a room are:

17, 16, 15, 17, 22

A person enters room, and then the mean age of 6 people is 17.

We need to find the age of person who entered the room.

The formula to calculate mean is: $Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}$

Now, in question we are given mean of 6 people that is 17

The age of 5 people are given while age of one person who enters the room is unknown.

Let age of person whose age is unknown= x

Now finding x using mean formula

$Mean=\frac{Sum\:of\:all\:data\:values}{Number\:of\:data\:Values}\\17=\frac{17+16+ 15+ 17+ 22+x}{6}\\17=\frac{87+x}{6}\\17*6=87+x\\102=87+x\\x=102-87\\x=15$

So, The value of x: x=15

Hence, the age of the person who entered the room is 15

4 0

2 years ago

The common ratio in a geometric series is 0.5 and the first term is 256. Find the sum of the first 6 terms in the series

Svetach [21]

Answer:

The sum of the first 6 terms of the series is 504.

Step-by-step explanation:

Given that,

Common ratio in a geometric series is, r = 0.5

First term of the series, a = 256

We need to find the sum of the first 6 terms in the series. If a and r area the first term and common ratio of a series, then the series becomes:

$a,ar^1,ar^2,ar^3......$

The sum of n terms of a GP is given by :

$S_n=\dfrac{a(1-r^n)}{1-r}$

Here, n = 6

$S_n=\dfrac{256\times (1-(0.5)^6)}{1-0.5}\\\\S_n=504$

So, the sum of the first 6 terms of the series is 504.

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3 years ago

Soybean meal is 18% protein. How many pounds each should be mixed together in order to get 360-lb mixture that is 17% protein?

konstantin123 [22]

Answer:

The answer is 40 and I calculated it, it’s true

Step-by-step explanation:

I promise

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2 years ago