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2 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?

Mathematics

1 answer:

aev [14]2 years ago

7 0

Answer:

y = -4/3 x=-1/3

Step-by-step explanation:

y = x2 + 2x – 3 and y = x – 1

y= (y + 1)2 + 2(y + 1) - 3 and x= y+ 1

y= 2y + 2 + 2y +2 and x= y+ 1

-3y = 4 and x= y+ 1

y = -4/3 and x = (-4/3) + 1 = -1/3

x2 is x squared or x multiplied by two

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What is 938 written in standard form?

Furkat [3]

Answer:

$9.38 \times 10^{2}$

Step-by-step explanation:

All numbers in scientific notation or standard form are written

$m \times 10^n$ ,

where m is a number between 1 and 10.

8 0

2 years ago

Read 2 more answers

each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u

amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters n=20 and p1=p2=p3=p4=p5=15 we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division (3,5,4,4,4) and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

#SPJ4

7 0

8 months ago

Need help ASAP PLEASEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!

Alex17521 [72]

5(1)= 5; identity property of multiplication
(3+5)+0=(3+5); identity property of addition
[3(5)](4)=(3)[5(4)]; associative property of multiplication
3+5=5+3; commutative property of addition
3+(5+7)=(3+5)+7; associative property for addition

hope this helps :)

3 0

1 year ago

Read 2 more answers

What is the effect on the graph f(x) = 1/x when it is transformed to g(x) = 1/x + 15?

kompoz [17]

Answer:

Step-by-step explanation:

It is shifted 15 units up. Think of how you're solving for y, and by adding 15 to the equation, y increases by 15. If y increases by 15 the graph shifts up by 15. Hope that helps.

3 0

2 years ago

Katie gives Maggie half of her pencils. Maggie keeps 5 pencils and gives the rest to Jamil. A. Write an expression for the numbe

Alexandra [31]

Here's what I mean when I write x/2 JUST IN CASE.

а.

Let the total number of pencils be x, then this implies that Maggie received x/2 pencils from Katie. Maggie keeps 5 and give the rest to Jamil, this means

that Jamil receives

x/2-5 pencils.

b. Expression of pencils given to Jamil is: x/2-5

Substitute x=16 in this expression: x/2-5

Simplify and evaluate: = 8-5= 3

Maggie gives 3 pencils to Jamil.

c. Expression of pencils given to Jamil is: x/2-5 to

Equate this expression with 1 to form an equation and solve for x all, the total

number of pencils if Jamil received 1 pencil:

x/2 - 5 = 1

Solve for x:

x = 2(1+ 5)

Evaluate:

x = 2(6) = 12

Katie had 12 pencils if Jamil received 1 pencil.

RESULT

a. Expression of number of pencils given to Jamil is x/2-5, where x is total number of pencils.

b. Maggie gives 3 pencils to Jamil.

c. Katie had 12 pencils if Jamil received 1 pencil.

5 0

2 years ago