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xxMikexx [17]
3 years ago
7

Graph the line y=-3x-1

Mathematics
2 answers:
sesenic [268]3 years ago
4 0

Answer:

Step-by-step explanation:

You have to find two points on the line, that is, two points that satisfy the equation  y=3x+1. But using the equation of the line if you take x=0, you get y=1, so the point (0,1) is on the line. Similarly, you can take x=1 and the equation gives you y=4, so the point (1,4)

belongs to the line. Now you only need to mark these two points on a graph, and draw the line going through them, like so:

graph{3x+1 [-10, 10, -4.44, 5.56]}

Of course, any other pair of points on the line would have been the same, such as (2,7) and (3,10)

When x = -2, y = -1 -3(-2) = -1 +6 = 5.  Therefore, -2, 5 would be a row on your table.

When x = -1, y = -1 -3(-1) = -1 + 3 = 2.  Therefore, -1, 2 would be a row on your table.

uysha [10]3 years ago
3 0
I this will help you

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I need help anyone please
liraira [26]

Answer:

B)

Step-by-step explanation:

The slope is 2/4=1/2

The y-intercept is 3

Given the shaded area, y is going to be less than or equal to.

So B is correct

7 0
3 years ago
Let $a$ and $b$ be nonzero real numbers such that
algol [13]
<h3>Answer:   -7/2</h3>

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

Explanation:

Let's expand out (2 - 7i)(a + bi) using the FOIL rule

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7bi^2

(2 - 7i)(a + bi) = 2a + 2bi - 7ai - 7b(-1)

(2 - 7i)(a + bi) = 2a + 2bi - 7ai + 7b

(2 - 7i)(a + bi) = (2a+7b) + (2bi-7ai)

(2 - 7i)(a + bi) = (2a+7b) + (2b-7a)i

We're told the result is purely imaginary. What this means is that the real part (2a+7b) is zero, while the imaginary part (2b-7a) is nonzero. If both are zero, then we have 0+0i = 0 which is purely real.

For example, the complex numbers 0-7i and 0+2i are purely imaginary.

Let's use the fact that 2a+7b must be zero to do the following steps:

2a+7b = 0

2a = -7b

a = -7b/2

a/b = -7/2 which is the final answer

We must check to see if 2b-7a is nonzero

2b - 7a = 2b - 7(-7b/2)

2b - 7a = 2b + 24.5b

2b - 7a = 26.5b

The result is nonzero if and only if b is nonzero. Luckily we're told b is nonzero at the top of the problem. So we don't have any worries that (2b-7a) is zero.

Therefore, (2a+7b) + (2b-7a)i will be purely imaginary with a/b = -7/2

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

A concrete example:

Let a = -14 and b = 4

a/b = -14/4 = -7/2

(2-7i)(a+bi) = (2-7i)(-14+4i) = 0 + 106i which is purely imaginary.

I'll let you do the steps in expanding that out using the FOIL rule.

4 0
1 year ago
Which of the following is true?(1 point)
MArishka [77]
Pretty sure it’s common to find fossils of soft tissues from dead organisms!
8 0
3 years ago
Complete the square to form a perfect square trinomial x^2-14x+
fiasKO [112]
Answer: x^2 - 14x + 49

Explanation:

1) Divide the coefficient of x by 2:

14 / 2 = 7

2) so you have to add 7^2 = 49

x^2 - 14x + 49

3) that trinomial is equivalent to:

=> (x - 7)^2

4) prove that using the formula (a - b)^2 = a^2 - 2ab + b^2

(x - 7)^2  = x^2 - 14x + 49

Then you have to add 49 to complete the square. and form a perfect square trinomial.
7 0
3 years ago
What is the value of 0.1561 rounded to the nearest tenth?
Ainat [17]

We have to round the value of 0.1561 to the nearest tenth.

The number after decimal is the number at tenth place. Consider the number to the right of the tenths place and use the number to determine if you will round up or stay the same. Notice that the number to the right of tenth place is more than or equal to 5 or less than 5. If that number is greater than or equal to 5, then the number will round up but if that number is less than 5, then the number will not round up. It will remain same.

Let us consider the given number 0.1561

The number at tenths place is 1

The number after the tenths place is 5 (which is either greater than or equal to 5)

So, the number will round up to 0.2

8 0
3 years ago
Read 2 more answers
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