Question number 4 please help

Answers

Answer 1

Answer: $(x^2+x-30)/(x^2-3x+2)\n\nx^2-3x+2=0\n\nx^2-x-2x+2=0\n\nx(x-1)-2(x-1)=0\n\n(x-1)(x-2)=0\iff x-1=0\ \vee\ x-2=0\n\nx=1\ \vee\ x=2\n\nAnswer:For\ x=1\ or\ x=2.$

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2x² - 6x +11=0Identify the values of a, b , c in the quadratic equation
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If (-7,y ) is a solution to the equation 2x -7y = 42, what is the value of y?I don't think this problem is worded right or something? Please help

Simplify the expression. -3/8 - -1/102/9

-19/40

-3/8

19/40

Answers

Answer: 19/40

Step-by-step explanation: first we need the values in the numerator, so we can multiply in X where you multiply the denominators with numerator of the other value in the equation finally we resolve simple equation between both numerator, so the numerator equations will be.

(-10) * (-3) = 30

(-8) * ( -1) = 8

then we get this values in the numerator

30 + 8 = 38

in the denominator we only need to multiply both values.

(-8) * (-10) = 80

after we divide each result between 2

numerator 38/2 = 19

denominator 80/2 = 40

after this, we can place the numerator and the denominator into the equation and we get the following result

19/40

Corey collection 4pound of newspaper on day 1after day one he collected 4 times the amount on which day did he first collect over a 1000 pounds of new paper

Answers

Answer:

Fifth Day (1024 pounds)

Step-by-step explanation:

For every subsequent day, he collected 4 times the previous day.

This increase is a ratio/product, therefore the sequence is a geometric sequence.

The nth term of a geometric sequence, $U_n=ar^(n-1)$

Where:

a=first term

r=common ratio

n=number of terms

Corey collected 4 pounds of newspaper on day 1., a=4

After day one he collected 4 times the amount and for every subsequent day, he collected 4 times the previous day. r=4

We want to determine on which day he will first collect over a 1000 pounds of new paper.

$U_n=1000\n4 X 4^(n-1) =1000\n4^(n-1)=250$

In order to apply law of indices, we look for the next term greater than 250 which is an index of 4.

$4^(n-1)>256>250\n4^(n-1)>4^4\nn-1>4\nn>4+1\nn>5$

Therefore on the fifth day, he will collect an amount over 1000 pounds, precisely 1024 pounds.

There are nine balls. One is slightly lighter than the rest; the difference is small enough that you can't tell just by picking them up. Using a basic two-sided scale, what's the minimum number of times you'd need to weigh balls to guarantee you find the light one?

Answers

You will need to weight those balls only twice.You weight 6 balls, 3 on one side of weight and 3 on another, and other3 balls you have are in your hand.

Check picture bellow

just my thoughts:
this is assuming the rest of the balls are of equal weight.
put 4 and 4 on either side of the scale, if by some chance they end up equal then that means the one ball not on the scale is the lighter. (can switch out with another ball to confirm) and that will be 2 weighs by just luck.
systematically, the more likely case is that the lighter ball will be in the 8 you put on the scale, and it's lightness will cause one side to be higher. this means that the lighter ball is on the higher side.
then take the four balls from the higher side and put two and two back on the scale. again higher sides means lighter. then take those two and put one and one. you will then find the lightest ball.
this method will take 3 weighs

twenty-five students use 120 sheets of paper. find each unit rate round to the nearest hundreth if neccasery

Answers

$(25\ students)/(120\ sheets\ of\ paper)=(25)/(120)\ students/sheets\ of\ paper\n\n=(5)/(24)\ students/sheets\ of\ paper\approx0.21\ students/sheet\ of\ paper$

The following set of coordinates represents which figure? (1, 1), (5, 3), (7, 7), (3, 5)

Answers

Are you honestly going to sit there with a straight face and promise me
that there are no figures (pictures) that go along with this question ?

Answer:

rhombus

Step-by-step explanation:

I took the quiz and got the question correct. Rhombus is the correct answer.

Solve the equation 3x-4y=16 for x

Answers

Hi there!

One little tip of advice I would like to give you is that when solving equations with 2 variables, and you're looking for only one, the second will always end up in your answer. So, since we're solving for x, the y will end up in our equation. :D

Let's begin!

$3x - 4y = 16$

Step 1) Add 4y to both sides.

$3x - 4y + 4y = 16 + 4y 3x = 4y + 16$

Step 2) Divide both sides by 3.

$(3x)/(3) = (4y + 16)/(3)$

$x = (4)/(3) y + (16)/(3)$

Final answer -

$x = (4)/(3) y + (16)/(3)$

If you wanted to see this graphed, however, see the attached file. :)

Hope this helps!

Message me if you need anything else! I'd be happy to help! :D

3x-4y=16
add 4y to both sides
3x=4y+16
divide both sides by 3
x=(4y+16)/3