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dedylja [7]
3 years ago
6

ASAP!!!!!!!!!! I need help

Mathematics
1 answer:
Schach [20]3 years ago
8 0

Answer:

...........................................................

Step-by-step explanation:

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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
What is 8c + 10b ÷ 7a if c = 7, b = 12, and a = 5 Please give a full and good explanation for a brainliest...​
PolarNik [594]

Answer:

141  5/7

Step-by-step explanation:

8c + 10b ÷ 7a

Let c = 7, b = 12, and a = 5

8*7 + 10*12 ÷ 7*5

Multiply and divide from left to right

56+120 ÷7*5

56+ 600/7

Get a common denominator

392/7 + 600/7

992/7

Change from an improper fraction to a mixed number

141  5/7

8 0
3 years ago
Read 2 more answers
Plot the image of D under a dilation about the origin (0,0) with a scale factor of 2
ElenaW [278]

(-6,-4)

If you dilate a point, (c,d) about (a,b) by a scale factor by k. You'll going to subtract each coordinates where the point will be dilated about (a,b) from the point (c,d) and then multiply them by k. This would be the formula if you want: (k(c -a), k(b -d))

Let's say F is the dilation of D about the origin or (0,0) then the x coordinate of F would be

x =  2( - 3 - 0) \\ x = 2( - 3) \\ x =  - 6

This would be the y coordinate of F:

y = 2( - 2 - 0) \\ y = 2( - 2) \\ y =  - 4

Thus the coordinates of F is (-6,-4)

4 0
3 years ago
Oranges cost $3.60 per dozen how much does 1 cost?
castortr0y [4]

If 6 oranges cost 3.60 than one orange costs .60. To find, divide total price by number of oranges.

3.60/6 = .60

There is no set of pound in a gallon because we do not know the substance. Different liquids weigh different amounts.

3.5 gallons is equal to 448 ounces. To find, multiply the number of gallons (3.5) by the amount of ounces in a gallon (128)

3.5 * 128 = 448

Pound and pints are like gallons and pound. Unless we know the substance we cannot solve.

.75 pints is equal to 12 ounces. To find that, we multiply the number of pints (.75) by the number of ounces in a pint (16)

.75 * 16 = 12

6 0
3 years ago
A total of 430 tickets were sold for the school play . They were either adult tickets or student tickets . There were 70 fewer s
Maurinko [17]
So first we assume that half is adult and have is student.

So
215 adult  215 student

Now since it said they were 70 less student tickets than adult tickets we subtract 70.
215 - 70 = 145

Now we add the 70 we subtracted from student tickets to the adult tickets.
215 + 70 = 285

So there were 
285 adult tickets sold and 145 student tickets sold

I hope this helped. Have a great day!
6 0
3 years ago
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