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rjkz [21]
3 years ago
7

NEED MAJOR HELP WITH HW!!! ps: will mark brainliest :)

align="absmiddle" class="latex-formula">
1: 1/2 of 3/5=
2: 3/4 of 5/7=
Multiply. Express each product in simplest form:
3: 5/6 of 9/11
4: 7/10 of 5/9
5: 7/8 × 10/14
6: 8/9 × 9/10
7: 3/5 × 4/12
8: 5/7 × 7/10
Solve show your work
9: Tian has 56 paper. He gives 3/4 of them to Joe. Joe gives 2/7 of what he receives to Rahul. How many paper clips did Rahul get?
10: Tony is given 9/10 hour to mow a lawn. He only uses 2/3 of the given time to mow the lawn. How much time is left?
11: Keith spends 1/6 of his savings on a magazine and 2/5 of the remainder on a storybook. What fraction of his savings is left?
12: There are some caps in a box. 1/6 of them are red, 1/3 are blue, and 3/7 of the remainder is green. If there are 27 green caps, how many caps are there altogether?
Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0
1.5
2.5
45/66
35/90
70/120
81/90
12/45
35/70
rahul got 4
15minutes
4/15
43
  I did this in class today i have the worksheet with answers Your welcome no work needed put that on the paper

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Verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial
Mariulka [41]

Answer:

i) Since P(2), P(-1) and P(½) gives 0, then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

ii) - the sum of the zeros and the corresponding coefficients are the same

-the Sum of the products of roots where 2 are taken at the same time is same as the corresponding coefficient.

-the product of the zeros of the polynomial is same as the corresponding coefficient

Step-by-step explanation:

We are given the cubic polynomial;

p(x) = 2x³ - 3x² - 3x + 2

For us to verify that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial, we will plug them into the equation and they must give a value of zero.

Thus;

P(2) = 2(2)³ - 3(2)² - 3(2) + 2 = 16 - 12 - 6 + 2 = 0

P(-1) = 2(-1)³ - 3(-1)² - 3(-1) + 2 = -2 - 3 + 3 + 2 = 0

P(½) = 2(½)³ - 3(½)² - 3(½) + 2 = ¼ - ¾ - 3/2 + 2 = -½ + ½ = 0

Since, P(2), P(-1) and P(½) gives 0,then it's true that 2,-1 and 1⁄2 are the zeroes of the cubic polynomial.

Now, let's verify the relationship between the zeros and the coefficients.

Let the zeros be as follows;

α = 2

β = -1

γ = ½

The coefficients are;

a = 2

b = -3

c = -3

d = 2

So, the relationships are;

α + β + γ = -b/a

αβ + βγ + γα = c/a

αβγ = -d/a

Thus,

First relationship α + β + γ = -b/a gives;

2 - 1 + ½ = -(-3/2)

1½ = 3/2

3/2 = 3/2

LHS = RHS; So, the sum of the zeros and the coefficients are the same

For the second relationship, αβ + βγ + γα = c/a it gives;

2(-1) + (-1)(½) + (½)(2) = -3/2

-2 - 1½ + 1 = -3/2

-1½ - 1½ = -3/2

-3/2 = - 3/2

LHS = RHS, so the Sum of the products of roots where 2 are taken at the same time is same as the coefficient

For the third relationship, αβγ = -d/a gives;

2 * -1 * ½ = -2/2

-1 = - 1

LHS = RHS, so the product of the zeros(roots) is same as the corresponding coefficient

7 0
3 years ago
What is the slope of a line that contains the points (2,-7) and (-1, -6)
Bogdan [553]

Answer:

Slope = - 1/3

Step-by-step explanation:

Y2-Y1 / X2 - X1

8 0
2 years ago
Complete 6,7 for 5 points.
seraphim [82]

Answer:

idk the answer

Step-by-step explanation:

4 0
3 years ago
A carpenter uses 12 nails for each board. If there are 48 nails in a pound, how many pounds would be used for 100 boards?
erica [24]
There would be 25 pounds of nails.
3 0
3 years ago
Samantha glued stickers on a sheet with an area of 1,260 square centimeters in 1/6 of an hour. What is the speed, in square cent
ASHA 777 [7]
1/6 of an hour is 10 minutes. For a precise answer, convert it to seconds. You will end up with 600 seconds. Divide the area of the sheet by 600 seconds.
1260/600 ~ 2 
With this result, Samantha glued approximately 2 stickers every second.
4 0
3 years ago
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