Answer:
x<2
Step-by-step explanation:
I didnt feel like typing it out but the explanation is in the picture hope this helps :)
<span>if you're finding the x intercept, y is ALWAYS 0, so in this, you can just get rid of the -4y because you know that it's 0, so you're left with 2x=12 divide by 2 on both sides so you find x intercept is (6,0) on the graph
the y works the same way, if you're looking for the y, you know that the x is zero, so you're left with -4y=12, divide by -4y on both sides and you end up with the y intercept being (0,-3)
x int.= (6,0)
y int.= (0,-3)
by the way, when it's written like that, it's called standard form, so to find the intercepts on 2x=12+4y, you'd have to convert it into standard form (Ax=By=C) so you subtract 4y on both sides to make it 2x-4y=12, and then once you have it like that you can do the math to find the y and x intercepts.
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<em>Question Continuation:</em>
<em>Glenn bought 3 pounds of tomatoes. He used 5/8 of them to make sauce.
</em>
<em>Make an equation that shows the number of pounds of tomatoes Glenn used for the sauce.</em>
<em></em>
Answer:
Step-by-step explanation:
Given
Weight of Tomato = 3 lb
Used Proportion = 5/8
Required
Determine the portion used
To solve this we simply multiply the used proportion by the weight of the tomato bought
Represent the used portion with y.
So:
If you factor the equation you can see what the solutions are. Two factor a quadratic of the form ax^2+bx+c, find two values which satisfy two conditions...
jk=ac=-15 and j+k=b=-2 so j and k must be -5 and 3 so the factors are:
(x-5)(x+3)
So the other solution is x=5
Answer:
Part A - D:8
Part B - C:140°
<h3>Solving/Reasoning:</h3>
Part A: Vertical angles are always congruent.
Part B: If angles are supplementary, they need to equal 180 when added together. Since we know angle A is 40, we can subtract it from 180 and figure out what is left over that should be angle B.
40+B=180
B=180-40
B=140
