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alexgriva [62]
4 years ago
10

Find the point of the intersection for the given systems y=x^2+1 and y=x+1

Mathematics
1 answer:
mario62 [17]4 years ago
7 0

set them equal to each other

x²+1=x+1

minus 1 from both sides

x²=x

minus x both sides

x²-x=0

factor

x(x-1)=0

set each to 0

x=0


x-1=0

x=1


subsitute back to find y values

y=x+1, y=0+1, y=1, one point is (0,1)

y=x+1, y=1+1, y=2, another point is (1,2)


the 2 points of intersection are (0,1) and (1,2)

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What is 9% of 42 pls help fast!
joja [24]

Answer:

3.78

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 9 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$.

Step 3: From step 1, it follows that $100\%=9$.

Step 4: In the same vein, $x\%=42$.

Step 5: This gives us a pair of simple equations:

$100\%=9(1)$.

$x\%=42(2)$.

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

$\frac{100\%}{x\%}=\frac{9}{42}$

Step 7: Taking the inverse (or reciprocal) of both sides yields

$\frac{x\%}{100\%}=\frac{42}{9}$

$\Rightarrow x=466.67\%$

Therefore, $42$ is $466.67\%$ of $9$.

4 0
3 years ago
Read 2 more answers
Antonio has more money than Dominic . if Antonio gives Dominic $18 then they'll have the same amount . If Antonio gives Dominic.
Simora [160]
Let x be the money Antonio has. 
Let y be the money Dominic has. 

x-18=y (here, I just put in the equation) 

Since we are not given any information about the money that Dominic has or Antonio has, we would have to create an equation that would fit all the situations. 

Hope I helped :) <span />
6 0
3 years ago
Ms. Graves gave her class 124 minutes to read. Carrie read 5 and a 1/2 pages in that time. At what rate, in pages per ¼ of a day
Dmitrij [34]

Answer:

600 pages ithink I hope I helped

8 0
3 years ago
The sum of the digits of a two-digit number is 11. The number obtained by interchanging the digits exceeds twice the original nu
Mumz [18]
Cool problem

x and y are the digits
x+y=11
yx=2(xy)+34
I'm not sure how to solve this using legit math so use trial and error

the 1 digit numbers that could be possible are
9,2
8,3
7,4
6,5
5,6
4,7
3,8
2,9
all of them add up to 11

the pairs obtained by swiching the number are
92 and 29
83 and 38
74 and 47
65 and 56

we find which ones are equal when we subtract 34 from the larger number and divide by 2
92-34=58
58/2=29
92 and 29 work

83-34=49
49/2=24.5 not equal to 38 not work

74-34=40
40/2=20 47 not equal to 20 so doesn't work

65-34=31
31/2=15.5 not equal to 56 so doesn't work



the origonal number is 29
4 0
4 years ago
You owe $225 on your credit card. You make a $55 payment and then purchase $87 worth of clothes at Target. What is the integer t
kykrilka [37]

Answer: 83

Step-by-step explanation:

225 - 55 -87= 83

You have $83 left on the credit card as your balance.

3 0
4 years ago
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