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lisabon 2012 [21]
3 years ago
10

On the grid draw the graph of y = 3x + 2 for values of x + 2 for values of x from -2 to 2

Mathematics
1 answer:
sladkih [1.3K]3 years ago
6 0

Answer:

The required graph is shown below.

Step-by-step explanation:

Consider the provided equation y=3x+2

We need to draw the graph of the equation.

Put x=0 in the above equation.

y=3(0)+2

y=2

The coordinate is (0,2).

Put y=0 in the given equation.

0=3x+2

-2=3x

x=\frac{-2}{3}

The coordinate is (\frac{-2}{3},0).

Now draw the graph by using the above coordinates.

The required graph is shown below.

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For what values of the variable, do the following fractions exist: y^2-1/y+y/y-3
ale4655 [162]

Answer:

Remember that the division by zero is not defined, this is the criteria that we will use in this case.

1) \frac{y^2 - 1}{y}  + \frac{y}{y - 3}

So the fractions are defined such that the denominator is never zero.

For the first fraction, the denominator is zero when y = 0

and for the second fraction, the denominator is zero when y = 3

Then the fractions exist for all real values except for y = 0 or y = 3

we can write this as:

R / {0} U { 3}

(the set of all real numbers except the elements 0 and 3)

2) \frac{b + 4}{b^2 + 7}

Let's see the values of b such that the denominator is zero:

b^2 + 7 = 0

b^2 = -7

b = √-7

This is a complex value, assuming that b can only be a real number, there is no value of b such that the denominator is zero, then the fraction is defined for every real number.

The allowed values are R, the set of all real numbers.

3) \frac{a}{a*(a - 1) - 1}

Again, we need to find the value of a such that the denominator is zero.

a*(a - 1) - 1 = a^2 - a - 1

So we need to solve:

a^2 - a - 1 = 0

We can use the Bhaskara's formula, the two values of a are given by:

a = \frac{-(-1) \pm \sqrt{(-1)^2 + 4*1*(-1)}  }{2*1}  = \frac{1 \pm \sqrt{5} }{2}

Then the two values of a that are not allowed are:

a = (1 + √5)/2

a = (1 - √5)/2

Then the allowed values of a are:

R / {(1 + √5)/2} U {(1 - √5)/2}

7 0
3 years ago
The _____of a segment divides the segment into two segments of equal length.
Cloud [144]
The midpoint of the segment is the answer
5 0
3 years ago
Read 2 more answers
Find the mean for each data set.
Fittoniya [83]

Answer:

14

Step-by-step explanation:

you add them all up and divide by how much there are

(10+11+12+13+14+15+16+17+18)=126

(126/9)=14

7 0
3 years ago
Read 2 more answers
I need help with this.
Dovator [93]

Answer:

Hello first one is 4.

Second one is 8

Step-by-step explanation:

First one is f(0). It means you should put zero in the place of x

0 is less than 5 so you should put zero in x+4=f(x)

For the second one do like the first one.

I hope you understand

6 0
3 years ago
I NEED HELP ASAP IT'S DUE IN 10 MINUTES!!! I'LL GIVE BRAINLIEST!!!
ycow [4]
You answer is 12 :)...
3 0
3 years ago
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