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3 years ago

Given the equation y=2x+3 and the values for x: -1, 0, 1 and 2. what are the corresponding y values?

Mathematics

1 answer:

rewona [7]3 years ago

8 0

Answer:

The y's are 1, 3, 5, 7

Step-by-step explanation:

You have equation y = 2x + 3

You can think of this as a "rule" So whenever you're given a number (a value for x) you put the number in place of the x and times by two then add three.

you were given a list of numbers. They will go one at a time and have a turn being acted on by the rule.

It looks like this: first when x is -1.

take the -1 times by 2 >>>> that's -2 and then add 3 >>>> so you get 1.

y = 2x +3, x= -1

y = 2(-1) + 3

y = 1

You might have a column to write the answers in like next to their x's. Or sometimes we write them in pairs (-1 , 1)

y = 2x + 3; x = 0

y = 2(0) + 3

y = 3

(0, 3)

y = 2x + 3; x = 1

y = 2(1) + 3

y = 5

(1, 5)

y = 2x + 3; x = 2

y = 2(2) + 3

y = 7

(2, 7)

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labwork [276]

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3 years ago

For 5 points and brainliest to the best correct answer, find the missing measures.<br> Thank you

zzz [600]

Answer:

x = 7
y = 97°
z = 19

Step-by-step explanation:

The markings on the figure show this to be a parallelogram. That means opposite sides are congruent. Because the sides are parallel, "alternate interior" angles are also congruent.

Angle y forms a linear pair with the one marked 83°, so is supplementary to it:

y = 180°-83° = 97°

The angle marked y is an exterior angle to the triangle containing the angle marked (7x -5)°. As such, it is equal to the sum of the remote interior angles, the one marked (7x -5)° and the unmarked one that is congruent to (3x +32)°.

(7x -5) +(3x +32) = 97 . . . . . angle relations in the left-side triangle

10x +27 = 97 . . . . . . . collect terms

10x = 70 . . . . . . . . subtract 27

x = 7 . . . . . . . . divide by 10

The side marked Z is congruent to the opposite parallel side, so ...

z = 19

The missing measures are ...

x = 7
y = 97°
z = 19

_____

<em>Additional comment</em>

You can also find the value of y by adding up the interior angles of the right-side triangle. The one not shown there is "alternate interior" to the one marked (7x -5)°, hence has the same measure. This gives ...

(7x -5) +(3x +32) +83 = 180

Subtracting 83° from both sides gives the equation we used above.

4 0

3 years ago

Shelby mixes a 25% bleach solution with 5 cups of a 10% bleach solution, resulting in a 20% bleach solution. The table shows the

german

Answer:

Step-by-step explanation:

We will use a system of equations to solve this. We do not know how much of the 25% bleach solution is used; we will use x to represent this. We know that 5 cups of the 10% solution was used. We do not know how much of the resulting solution we have; we will use y to represent this. This gives us the equation

x+5 = y

Using the decimal forms of the percentages for each solution, we have 0.25x (25% solution for x cups), 0.1(5) (10% solution for 5 cups) and 0.2y (20% solution for y cups); this gives us the equation

0.25x+0.1(5) = 0.2y

This gives us the system

$\left \{ {{x+5=y} \atop {0.25x+0.1(5)=0.2y}} \right.$