MATHEMATICS HIGH SCHOOL

Write the equation of the line that has a y-intercept of (0,4) and a slope of 2.

Answers

Answer 1

Answer:

Answer:

y=2x+4

Step-by-step explanation:

the y-intercept is the y value of the point given. in the slope form, 2 would be your m

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What are the zeros of the following polynomial: x^3-9x=0

Answers

The "zeros" will make the equation..

0=0

The roots

The roots for this polynomial would be:

x=0, -3, 3.

Fiona and Camilla took a load of peaches to the farmer’s market. During the first hour, they sold ½ of the peaches plus ½ of a peach. In the second hour, they sold 1/3 of the remaining peaches plus 1/3 of a peach. In the third hour, they sold ¼ of what was left plus ¾ of a peach. During the final hour, they sold 1/5 of the peaches that were left plus 1/5 of a peach. Fiona and Camilla went home with 19 whole peaches. How many peaches did they take to the market?

Answers

They took 101 peaches to market.

Check:

In the 1st hour, they sold (101/2 + 1/2) = 102/2 = 51. They had 50 left.

In the 2nd hour, they sold (50/3 + 1/3)=51/3=17. They had (50-17)=33 left.

In the 3rd hour, they sold (33/4 + 3/4) = 36/4 = 9. They had (33-9) = 24 left.

In the final hour, they sold (24/5 + 1/5) = 25/5 = 5. They had (24-5) = 19 left. yay!

Fiona and Camilla took their 19 remaining peaches and went home. Sharing with
their parents and their brother Rowlf, each person had 3.8 peaches for dinner.
There was a lot of activity in the bathroom overnight.

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The key to solving this one is to work it backwards.

-- They had 19 peaches left at the end of the day.

-- During the final hour, the 1/5 of a peach that they sold left them with 19,
so they had 19-1/5 before they sold the 1/5 of a peach.
The 19-1/5 was 4/5 of what they had at the beginning of the final hour.
So, at the beginning of the final hour, they had (5/4)x(19.2) = 24 .

-- During the 3rd hour, the 3/4 of a peach that they sold left them with 24,
so they had 24-3/4 before they sold the 3/4 of a peach.
The 24-3/4 was 3/4 of what they had at the beginning of that hour.
So, at the beginning of the 3rd hour, they had (4/3)x(24.75) = 33 .

Do the same for the 2nd hour.

Then do the same for the 1st hour.

And you'll work your way back up to 101 peaches.

At a picnic there were 3 times as many adults as children and twice as many women as men. If there was a total of x men, women, and children at the picnic, how many men were there, in terms of x?A. x/2
B. x/3
C. x/4
D. x/5
E. x/6

Answers

Answer:

I believe the answer is c.) x=4

Step-by-step explanation:

I saw this on a webpage:

The moment we see “x,” we can consider picking numbers. The key here is contemplating how complicated the number should be. Swim with the current – let the question tell you. A quick look at the answer choices reveals that x could be something simple. Ultimately, we’re just dividing this value by 2, 3, 4, 5, or 6.

Keeping this in mind, let’s think about the first line of the question. If there are 3 times as many adults as children, and we’re keeping things simple, we can say that there are 3 adults and 1 child, for a total of 4 people. So, x = 4.

Now, we know that among our 3 adults, there are twice as many women as men. So let’s say there are 2 women and 1 man. Easy enough. In sum, we have 2 women, 1 man, and 1 child at this picnic, and a total of 4 people. The question is how many men are there? There’s just 1! So now we plug x = 4 into the answers and keep going until we find x = 1. Clearly x/4 will work, so C is our answer. The key was to let the question dictate our approach rather than trying to impose an approach on the question.

Answer: C

x/4

Step-by-step explanation:

See attached for explanation.

Perform the indicated operation and write in standard form 5i+(-9-i)

Answers

Since the sign before the parentheses is a + , we can just remove the parentheses.

5i + (-9 - i) = 5i - 9 - i = -9 + 4i

$5i+(-9-i)=\n 5i-9-i=\n -9+4i$

Compute the least-squares regression line for predicting y from x given the following summary statistics. Round the slope and y-intercept to at least four decimal places. x =8.2 sx =2.2 sy = 1.8 r = 0.60 y = 1300

Answers

Answer: pedro alvares cabral descobriu o brazil, cristóvao colombo a america

Step-by-step explanation:

X2+4x+3=0 what is the quadratic

Answers

$\sf\ For\ ax^2+bx+c=0\ the\ quadratic\ formula\ is\ x=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}.\nYou\ can\ use\ this\ formula\ to\ solve\ the\ problem.\n\n\n\nI'm\ presuming\ that\ your\ equation\ is\ x^2+4x+3=0\n\n\n\na=1\n\n\ b=4\n\n c=3\n\n\n\nPlug\ it\ in\ the\ quadratic\ formula.\n\n\n\nx=\frac{-b\± \sqrt{b^(2)-4ac} }{2a}\n\nx=\frac{-(4)\± \sqrt{(4)^(2)-4(1)(3)} }{2(1)}\n\nx=(-4\± √(16-4(3)) )/(2)\n\nx=(-4\± √(16-12) )/(2)\n\nx=(-4\± √(4) )/(2)\n\nx=(-4\±2)/(2)$

$\sf\ So\ now\ we\ have\ x=(-4+2)/(2)\ and\ x=(-4-2)/(2).\n\n\n\nx=(-4+2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-4-2)/(2)\n\nx=(-2)/(2)\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=(-6)/(2)\n\nx=-1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-3\n\n\n\n{\boxed{\sf\ x=-1\ \ or\ \ x=-3}$

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