Pleassse answer quick! ( compare the function 3x+2y=12 to the following image. which of the following is a true statement? a: the y-intercept of the graphed function is greater than the y-intercept of the function 3x+2y=12. b: the x-intercept of the graphed function is greater than the x-intercept of the function 3x+2y=12. c: the two functions have the same x-intercept. d: the two functions have the same y-intercept.

The only statement that is true of the given function and the graph is;

C: The two functions have the same x-intercept.

We are given the function;

3x + 2y = 12

Formula for equation of line in slope intercept form is y = mx + c.

Where m is slope and c is y-intercept

Thus, our equation can be expressed as;

y = -³/₂(x) + 6

Thus; slope = -³/₂ and y-intercept = 6

X-intercept is the point at which y = 0

Thus; 3x + 2(0) = 12

3x = 12

x = 12/3

x = 4

Option A; The y-intercept of the graph we are given is 4. This is lesser than that of the given function and as such the option is wrong.

Option B; The x-intercept of the given graph is 4 and that of the given function is 4 as well and so they are equal. Thus, this option is wrong

Option C; As seen in option B above they both have the same x-intercept. Thus, this statement is true.

Option D; They don't have the same y-intercept as shown in the values gotten earlier. Thus, this statement is false.

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Step-by-step explanation:

The given function is

Let's analyse this function. We can its elements, that is, its slope and y-intercept points by isolating , as follows

So, the y-intercept is at , which is not the same point showed in the graph. The slope of the linear equation is -3/2, which is not the same slope showed in the graph.

From the graph, we can deduct that te y-intercept is at , and the slope is 1, because both variables increase at the same rate, which is 4 units, and if you divide 4/4 = 1.

At last, if we calculate the x-intecept of the linear equation, it would be

For , let's find

This means the x-intercept of the linear equation is at 4, and the graph shows the same x-intercept.

Therefore, the two functions have the same x-intercept. So, the right answer is C.

step-by-step explanation:

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.