If you have a graphing calculator, plug in the equation and then look in the table, wherever y=0 is how many you have.
Answer:
Step-by-step explanation:
Both expressions are examples of the <em>distributive property</em>, which basically says "if I have <em>this </em>many groups of some size and <em>that</em> many groups of the same size, I've got <em>this </em>+ <em>that</em> groups of that size altogether."
To give an example, if I've got <em>3 groups of 5 </em>and <em>2 groups of 5</em>, I've got 3 + 2 = <em>5 groups of 5 </em>in total. I've attached a visual from Math with Bad Drawings to illustrate this idea.
Mathematically, we'd capture that last example with the equation
. We can also read that in reverse: 3 + 2 groups of 5 is the same as adding together 3 groups of 5 and 2 groups of 5; both directions get us 8 groups of 5. We can use this fact to rewrite the first expression like this: .
This idea extends to subtraction too: If we have 3 groups of 4 and we take away 1 group of 4, we'd expect to be left with 3 - 1 = 2 groups of 4, or in symbols: . When we start with two numbers like 15 and 10, our first question should be if we can split them up into groups of the same size. Obviously, you could make 15 groups of 1 and 10 groups of 1, but 15 is also the same as <em>3 groups of 5</em> and 10 is the same as <em>2 groups of 5</em>. Using the distributive property, we could write this as , so we can say that .
Answer:
D has the same y-intercept
Step-by-step explanation:
<em>y-intercept of the function in the question is -3.</em>
<u>A) 2/3 x + 3y = -3</u>
<em>Make y the subject</em>
3y = -2/3x-3
y = -2/9-1
<em>The y-intercept is -1; it is not the same.</em>
<u>B) -2/3 x + 3y = 6</u>
<em>Make y the subject</em>
3y = 2/3x + 6
y = 2/9x + 2
<em>The y-intercept is 2; it is not the same.</em>
<u>C) x + 4y = 12</u>
<em>Make y the subject</em>
4y = -x + 12
y = -x + 3
<em>The y-intercept is +3; it is not the same.</em>
D) 6x - 7y = 21
Make y the subject
7y = 6x - 21
y = 6/7x - 3
The y-intercept is -3; it is the same.
Therefore, option D has the same y-intercept as the function given in the question.
Answer:
x= 3126/125 or x=25.008 or as a mixed number form: x=25 and 1/125
Step-by-step explanation:
isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Yes
Step-by-step explanation: