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3 years ago

Solve the system y=2x-1

Mathematics

1 answer:

Assoli18 [71]3 years ago

6 0

Lets solve our system of equations step by step:
$y=2x-1$ equation (1)
$3x-y=-1$ equation (2)

Step 1. Replace equation (1) in equation (2)
$3x-y=-1$
$3x-(2x-1)=-1$
$3x-2x+1=-1$
$x=-2$ equation (3)

Step 2. Replace equation (3) in equation (1)
$y=2x-1$
$y=2(-2)-1$
$y=-4-1$
$y=-5$

We can conclude that the correct answer is: <span>A (−2, −5) </span>

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I am thinking of a number. I subtract 10 then divide by 2 and I now have 19. What was my original number?

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42? Is that the answer that’s tricky

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3 years ago

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What is the radius of a circle with a circumference measuring 24 pie cm?

Tpy6a [65]

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diameter (or 2x radius) = circumference divided by pi.
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2 years ago

What is the equation in slope-intercept form of the linear function represented by the table?

umka2103 [35]

Answer:

y = -x + 9

Step-by-step explanation:

You are given (-5,14), (-2,11), (1,8), and (4,5). Your first objective is to find the slope.

Slope is delta y divided by delta x - the amount of height the graph gains divided by the amount of horizontal length the graph gains. Take any two points and plug it into this: $\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ .

i.e. (-2,11) and (4,5): $\frac{11-5}{-2-4}$ which is $\frac{6}{-6}$ , or -1. Thus, the slope is -1.

We now have y = -1(x) + b, or just y = -x + b.

Next, find the y-intercept. Set the value of x to 0, as the y-intercept is found along the y-axis, which is at the horizontal center of the graph, 0. We now know that the y-intercept is (0,y). To find the y-value, plug one of the coordinate pairs of choice into x and y.

i.e. (-5,14): 14 = (-1)(-5) + b

14 = 5 + b

14 - 5 = 5 + b - 5

9 = b

So, the y-intercept is (0,9).

Finally, the equation is:

y = -x + 9

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2 years ago

Which description does not guarantee that a trapezoid is isosceles??

jasenka [17]

Answer:

Congruent bases does NOT guarantee that a trapezoid is isosceles.

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3 years ago

A. Does the relationship of weeks passed and total number of followers represent a linear function? (0.5 points) B. What is the

vodomira [7]

The terms "linear function" in mathematics apply to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

a) Yes it does, because the graph of their relationship is a Straight line

b) Independent variables are variables whose variation does not depend on another. Number of works does not depend on followers. Therefore, it is independent

C)number of followers depend on the number of locks passing. It is dependent.

D) Slope = (Y₂- Y₁)/(x₂-x₁) = (100-82)/ (3-0) = 18/3 = 6

It represents the increase in number of followers per week,

E) y-intercept is value of y when x=0

y-intercept = 82. It means his initial number of followers

F) Slope-intercept form → y = mx + c m = slope горе C = y-intercept y = no of followers x= weeks.

Y=6x+82

Learn more about linear function here:

brainly.com/question/4025726

#SPJ10

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1 year ago