factor the exspresion 8y^2-22y-21

Answers

Answer 1

Answer: $8y^2-22y-21 =0 \n \na=8, \ \ b=-22, \ \ c=-21\n \n\Delta = b^(2)-4ac = (-22)^(2)-4*8* (-21)= 484+672=1156 \n \ny_(1)=(-b-√(\Delta ))/(2a) =(22- √(1156))/(2*8)=(22-34)/(16)=(-12)/(16)= -(3)/(4)\n \ny_(2)=(-b+√(\Delta ))/(2a) =(22+ √(1156))/(2*8)=(22+34)/(16)=(56)/(16)= (7)/(2)=3(1)/(2)$

Related Questions

a flower bed is in the shape of a triangle with one side twice the length of the shortest side and the third side is 23 feet more than the length of the shortest side. Find the dimensions if the perimeter is 139 feet
How is the process of dividing integers similar to the process of multiplying integers
Evaluate: x = y² if x = 8 and y = 3A. 2B. 509C. 25D. -1
Under which operations is the set of whole numbers {0,1,2,3...} closed
You have $6000 to invest in two stock funds. The first fund pays 5% annual interest and the second account pays 9% annual interest. If after a year you have made $380 in interest, how much money did you invest in each account

three friends are selling items at a bake sale. may makes $23.25. Inez makes 100 times as much as may. carolyn makes one tenth of the money that Inez makes. how much does each friend make?

Answers

may makes 23.25
inez makes 2325
carolyn makes 232.5

May makes $23.25 inez makes $22,325 and caryolyn makes $2,232.5 hope this helps

coach currans team has won 5 times and lost 2 times.He hopes that his team can keep this same ratio of wins to losses.If the team has 10 losses,how many wins would they need to keep the record

Answers

Answer:

The answer is that the team has to have 25 wins.

Step-by-step explanation:

since the ratio is 2 losses to 5 wins, if you divide 10 by 2, you get 5. Multiply 5 by 5, since it is the other side of the ration, and you'll get 25 wins.

25:10 = 5:2

Answer:25

Step-by-step explanation:

What are the coordinates of the midpoint line segment for (4,4 ) and (0,5)

Answers

Answer:

(2, 4.5)

Step-by-step explanation:

The midpoint is the average of the end points.

M = (A + B)/2

= ((4, 4) + (0, 5))/2

= ((4+0)/2, (4+5)/2)

= (2, 4.5)

What is 5d - 10 = 20

Answers

Here is your equation:

$5d-10=20$

In this equation, you're looking for the value of d alone. That means you would have to move everything next to the variable to the other side. You can do that by doing the opposite of what's being done to it.

In this equation, 5d is being subtracted by 10(-10). The opposite of that is adding 10(+10). You would have to add 10 to both sides, since -10 and +10 cancel out each other.

The first thing you are going to do is add 10 to both sides.

$5d-10+10=20+10 \n 5d = 30$

Now you're left with the equation 5d=30. Remember that you're looking for d alone. In the current equation, d is being multiplied by 5(5d ⇒ 5 × d). Again, you're going to do the opposite of what's being done to it. The opposite of multiplying is dividing, therefore, you're going to divide both sides by 5, since the 5 divided by 5 is 1, which cancels out the 5.

Divide both sides by 5.

$(5d)/(5) =(30)/(5) \n \nd=6$

That means the answer to your equation is d = 6.

Answer:

d = 6

Step-by-step explanation:

Let us follow these steps to make d the subject.

First, add 10 to both sides.

5d - 10 = 20

5d = 10+ 20

5d = 30

Divide both sides by 5.

d = 6

If two of a triangle,s angles measure 42 degrees and 48 degrees, how would you classify that triangle? A: acute angle
B: obtuse angle
C: right angle

Answers

If any of the angles are over 90 degrees, the triangle is classified as obtuse, if it's exactly 90 it's classified as a right triangle, and if all the angles are below 90 it is considered an acute triangle.

In this case you have 2 angles, 42 and 48, which seems to make the triangle acute. However, if you add them together and subtract from 180 (to find the third angle), you can find that the third angle is indeed 90 degrees, making it a right triangle.

If each number were multiplied by four, their sum would be 172. What are the two numbers?

Answers

There are a lot of choices for the two numbers; this is because no other condition has been placed on the numbers to pinpoint the exact numbers required.

x = 1st number
y = 2nd number

The equation would be:
4(x+y) = 172

4(x+y)/4 = 172/4
x + y = 43

If we get the value of x. then, x = 43 - y
Substitute x by its value

43 -y + y = 43
43 = 43
y = 0

If y = 0 then x = 43 to get the sum of 43

x y     x + y     4x 4y 4x + 4y
43   0     43   172   -   172
42   1      43   168   4   172
41   2   43   164   8   172
40 3   43    160   12   172
39   4 43   156   16 172
38   5   43   152   20 172
37   6   43   148   24 172
36   7   43   144   28 172
35   8   43   140   32 172
34   9   43   136   36   172
33   10   43   132   40 172
32   11   43   128   44 172
31   12   43   124   48 172
30   13    43   120   52 172
29 14   43   116   56 172
28   15   43   112   60 172
27   16   43   108   64 172
26   17 43   104   68 172
25   18 43   100   72 172
24   19 43   96   76 172
23   20 43   92   80 172
22   21 43   88 84 172

Other Questions

You borrowed $25 from your friend. You paid him back in full after 6 months. He charged $2 for interest. What was the annual simple interest rate that he charged you?

List the first 3 common multiples of 2 and 3 , 3 and 6

Find the lateral surface area and the total surface area for the pyramid .

4. A dilation of (x,y) → (kx, ky) when 0 <k< 1 has what effect on the figure?What is the effect on the figure when k > 1?