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3 years ago

Which answer choice states the range of the following

Mathematics

1 answer:

ankoles [38]3 years ago

6 0

<h2>Explanation:</h2><h2></h2>

Hello! Remember you have to write complete questions in order to get good and exact answers. Here you forgot to write the relation so I could help you providing my own relation.

Remember that for any relation, we have a set $A$ that matches the the domain (also called the set of inputs) of the function and the set $B$ that contains the range (also called the set of outputs).

Suppose our relation is:

$y=-10+x \\ \\ For \ x=1,2,3,4,5$

So the x-values represents the set A and the y-values the set B. Therefore, by evaluating the x-values into our relation we get:

$\text{If x=1} \\ \\ y=-10+1=-9 \\ \\ \\ \text{If x=2} \\ \\ y=-10+2=-8 \\ \\ \\ \text{If x=3} \\ \\ y=-10+3=-7 \\ \\ \\ \text{If x=4} \\ \\ y=-10+4=-6 \\ \\ \\ \text{If x=5} \\ \\ y=-10+5=-5$

So in this context, the correct option is:

B) (-9,-8, -7, -6, -5}

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Which ordered pair is a solution of the system of a linear equation below? Y= 1/4x +2 y= x-1

Tanya [424]

Answer: x = 4, y = 3

<u>Step-by-step explanation:</u>

$y=\dfrac{1}{4}x+2$ and $y=x-1$

Using substitution method we get:

$x-1=\dfrac{1}{4}x+2\\\\\text{subtract}\ \dfrac{1}{4}x\ \text{from both sides}\rightarrow \dfrac{3}{4}x-1=2\\\\\text{add 1 to both sides}\rightarrow \dfrac{3}{4}x=3\\\\\text{multiply both sides by 4}\rightarrow 3x=12\\\\\text{divide both sides by 3}\rightarrow x=4\\\\\text{Insert x = 4 into one of the original equations to solve for y:}\\y=x-1\\y =(4)-1\\y=3$

3 0

3 years ago

10 pts

RoseWind [281]

263.25 is the volume of the box in inches cubes you have to multiply 4.5 by 9 by 6.5

6 0

3 years ago

Read 2 more answers

Please I really need help

ohaa [14]

9514 1404 393

Answer:

scale factor: 3
rule: (x, y) ⇒ (3x +15, 3y -24)
center: (-7.5, 12)

Step-by-step explanation:

The scale factor can be found by comparing the length of CB to the length of RQ.

B-C = (-2, 8) -(-4, 9) = (2, -1)

Q-R = (9, 0) -(3, 3) = (6, -3)

The length of RQ is clearly 3 times the length of CB, so the scale factor (k) is ...

ratio of corresponding differences = 6/2 = -3/-1 = 3 . . . . . scale factor

We know that for dilation about a point O, the distance from O is multiplied by the scale factor. For dilation of point B to point Q, this means ...

k(B -O) = (Q -O)

Solving for Q, we get ...

Q = kB -kO +O . . . . this is what our dilation rule will look like.

The quantity O-kO can be found by subtracting kB:

Q -kB = O -kO = O(1 -k)

This is what we need for our dilation rule.

Q -kB = (9, 0) -3(-2, 8) = (9+6, 0-24) = (15, -24)

So, our dilation rule is ...

(x, y) ⇒ k(x, y) +(15, -24)

(x, y) ⇒ (3x +15, 3y -24) . . . . . dilation rule

The center of dilation can be found from ...

(Q -kB)/(1 -k) = O

O = (15, -24)/(1 -3) = (-7.5, 12)

The center of dilation is (-7.5, 12).

_____

<em>Additional comments</em>

On the graph, the center of dilation can be found by drawing a line through a point and its image. (Points are always dilated along a line through the center of dilation.) The intersection of two such lines is the center of dilation.

On this graph, the center is just above the top edge of the chart, at point (-7.5, 12). You can see this if you carefully draw lines BQ and AP.

You usually have coordinates for two original points and two image points, so finding the scale factor the way we did is not difficult. If you just have one point on the original and the image, the scale factor is found by finding their distances from the center of dilation. Each image point is k times as far as each original point from that center.

7 0

2 years ago

Find the equation of the line that passes through point (6, 1) with the x-intercept of 2.

34kurt

<u>Answer:</u>

○ $y = \frac{1}{4}x - \frac{1}{2}$

<u>Step-by-step explanation:</u>

To find the equation of the line, let's first consider the points whose coordinates we have been given:

• (6, 1)

• (2, 0).

The point (2, 0) is what is called the x-intercept, which is the point where the line crosses the x-axis. This means that at this point, the y-coordinate of the line is 0.

Next, let's calculate the slope (gradient) of the line using the formula:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

where:

m = gradient,

$(x_2, y_2)$ and $(x_1, x_2)$ = points on the line.

Using the formula:

$m = \frac{1 - 0}{6 - 2}$

⇒ $m =\bf \frac{1}{4}$

Finally, now that we have two points on the line as well as the line's slope, we can use the following formula to find the equation of the line:

$\boxed{y - y_1 = m(x - x_1)}$

You can use any of the points on the line as $y_1$ and $x_1$ .

Using (2, 0):

$y - 0 = \frac{1}{4}( x - 2)$

⇒ $y = \frac{1}{4}x - \frac{1}{2}$

Therefore the equation of the line is $y = \frac{1}{4}x - \frac{1}{2}$ .

Learn more about point-slope form at:

brainly.com/question/15143525

6 0

1 year ago

Which of the following transformations will result in an image that maps onto itself

Anestetic [448]

The transformations that maps image onto itself are D) reflect over the y axis and then reflect again over the y axis.

Complete question

Which sequence of a transformation will result in an image that maps onto itself? A) rotate 180 degrees counterclockwise and then reflect across the x axis b) reflect over the y axis and then reflect over the x axis c) rotate 180 degrees counterclockwise and then reflect across the y axis d) reflect over the y axis and then reflect again over the y axis

Step-by-step explanation:

Reflecting a figure across the y axis then repeating the same procedure will take you to the original position. This means mapping the figure onto itself.When coordinates(x,y) are reflected on the y axis the image coordinates are (-x,y) thus repeating this will form the second image coordinates as (x,y).

Learn More

Transformation : brainly.com/question/10656536

Keyword : transformation

#LearnwithBrainly

8 0

2 years ago

Read 2 more answers