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hammer [34]
1 year ago
5

Given the domain {-4, 0, 5}, what is the range for the relation 12x 6y = 24? a. {2, 4, 9} b. {-4, 4, 14} c. {12, 4, -6} d. {-12,

-4, 6}
Mathematics
1 answer:
xz_007 [3.2K]1 year ago
7 0

The domain of the function 12x + 6y = 24 exists {-4, 0, 5}, then the range of the function exists {12, 4, -6}.

<h3>How to determine the range of a function?</h3>

Given: 12x + 6y = 24

Here x stands for the input and y stands for the output

Replacing y with f(x)

12x + 6f(x) = 24

6f(x) = 24 - 12x

f(x) = (24 - 12x)/6

Domain = {-4, 0, 5}

Put the elements of the domain, one by one, to estimate the range

f(-4) = (24 - 12((-4))/6

= (72)/6 = 12

f(0) = (24 - 12(0)/6

= (24)/6 = 4

f(5) = (24 - 12(5)/6

= (-36)/6 = -6

The range exists {12, 4, -6}

Therefore, the correct answer is option c. {12, 4, -6}.

To learn more about Range, Domain and functions refer to:

brainly.com/question/1942755

#SPJ4

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alexandr1967 [171]

Step-by-step explanation:

Our coordinates are (6, 0) and (0, -3).

We can use the formula (y₂-y₁)/(x₂-x₁) to find the slope-intercept form (y=mx+b)

Now, we plug the coordinates into the formula and solve.

(0-(-3))/(6-0)

=3/6

=\frac{1}{2}

So, the slope is \frac{1}{2}.

Now, we have to find the y-intercept, which is the point where the line on the graph intersects with the y-axis.

We can find the y-intercept (which is represented by b) by plugging the information we already know into the formula.

We can use either pair of coordinates for the formula, so I'll use (6, 0).

y=mx+b

0=\frac{1}{2}(6)+b

Now, we can solve.

0=3+b

Subtract 3 from both sides.

-3=b

The y-intercept is -3.

Answer:

y=\frac{1}{2}x-3

7 0
2 years ago
Find the area of the regular pentagon. 4.1 cm 6 cm Area = [?] cm? Enter your answer to the nearest tenth. ​
Assoli18 [71]

Answer:

Area of the given regular pentagon is 61.5 cm².

Step-by-step explanation:

Area of a regular polygon is given by,

Area = \frac{1}{2}aP

Here, a = Apothem of the polygon

P = Perimeter of the polygon

Apothem of the regular pentagon given as 4.1 cm.

Side of the pentagon = 6 cm

Perimeter of the pentagon = 5(6)

                                             = 30 cm

Substituting these values in the formula,

Area = \frac{1}{2}(4.1)(30)

        = 61.5 cm²

Therefore, area of the given regular pentagon is 61.5 cm².

8 0
2 years ago
A shirt is on sale for 45% off the price. The cost of the shirt is $14.95. What is the price of the shirt now?
Pavlova-9 [17]

Answer:

$8.2225

Step-by-step explanation:

100% - 45% = 55%

then divide 55 by 100 to get .55

lastly multiply .55 to 14.95 to get 8.2225

3 0
2 years ago
Could someone help me with this I promise it’s the last time!
mario62 [17]

Answer: 64 miles

Step-by-step explanation:

Subtract all of Buck's expenses from the total amount that he spent to isolate the amount of miles.

70.23 (Total) - 39.95 (Flat Rate) - 9.80 (Gas) = 20.48

20.48  ÷ 0.32 (Cost Per Mile) = 64 (Total miles)

Hope this helps!

5 0
3 years ago
Read 2 more answers
If x varies directly as y, and x=18 when y=6 find x when y= 10!!!!!!
tensa zangetsu [6.8K]
First thing you need to do is find your k in y = kx

So to do that insert 18 for x and 6 for y and then solve for k
y = kx
6 = k18
6/18 = k18 /18
1 / 3 = k
k = 1 /3
So now that we know what k is we can find x when y = 10. Once again insert the numbers we know. We know k = 1/3 and y = 10 and we need to find x
y = kx
10 = (1/3)x
3* 10 =  3*(1/3)x
30 = x
x = 30
8 0
3 years ago
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