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Murrr4er [49]
2 years ago
13

Which statement is true about the equation f(x)=g(x) given f(x)=2x+3 and g(x)=x^2? please help

Mathematics
1 answer:
Dafna1 [17]2 years ago
3 0

Answer:

x=3 and x=-1

Step-by-step explanation:

If f(x)=g(x), then 2x+3=x^2:

x^2-2x-3=0

(x-3)(x+1)=0

x=3 and x=-1

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uysha [10]

Answer:

if i'm not wrong it should be 2.8

Step-by-step explanation:

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Sorry if i'm wrong

5 0
3 years ago
Really need help with this pls help!!
worty [1.4K]

Let's carry this math sentence over to its natural, "shapey" element. We're going to look at each term not as an ordinary number, but as <em>the area of some shape</em>.

x² (read as "x <em>squared"</em>) can be seen as the area of a square with side lengths of x. 2x can similarly be seen as the area of a <em>rectangle </em>with a length of x and a width of 2. (Picture 1)

What's our question actually asking, though? Something about <em>perfect squares</em>. More specifically, we're looking for something to add on that'll <em>make this thing a perfect square</em>. We're trying to find a missing piece we can slot in to make a square, in other words. Problem is, our shapes don't look much like a square if we put them together right now. We need to do a little cutting and gluing first.

First, we're gonna cut the 2x rectangle lengthwise, getting two rectangles with an area of x, a length of 1, and a width of x. Next, we're going to attach them to the x² square, creating this shape that looks, strangely, like a square with a little bit missing from it (picture 2). What we're trying to do is <em>complete this square, </em>to find the area of that little missing chunk.

As it turns out, we have all the information we need for this. Notice that, using the lengths of the x rectangles, we can find that the square's dimensions are 1 x 1, which means that its area is 1 x 1  = 1.

If we tack this new area on to our original expression, we've "completed the square!" We now have a perfect square with side lengths of (x + 1) and an area of (x + 1)² (picture 3).

So, our final expression is x² + 2x + 1, and the missing constant - the area of the "missing square" we had to find to complete our larger one - is 1.

5 0
3 years ago
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svlad2 [7]

Answer:

Answer below

Step-by-step explanation:

It would be 36×2=72

since we're doubl8ng it so there would be 72 hooded sweatshirts

6 0
3 years ago
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1. Brandon has $12. He will eam $8 for every
8_murik_8 [283]

Answer:52-12=$40

1/8*40 = 5 hours.

Step-by-step explanation:

6 0
3 years ago
You can buy 5 pounds of grapes for $9.95. What is the cost c if you buy 4 pounds of grapes?
Vinvika [58]

Answer:

$7.96

Step-by-step explanation:

The equation 9.95/5=x would give you the price of one pound of grapes.

So, now that you have x, you would find out how much it costs if you bought 4 pounds.

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