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Goryan [66]
3 years ago
14

Find the solutions to the system; y=x^2-3x-1 and y=8x-1

Mathematics
1 answer:
PSYCHO15rus [73]3 years ago
8 0

{x}^{2}  - 3x - 1 = 8x - 1 \\  {x}^{2} - 11x = 0 \\ x(x - 11) \\ x = 0 \: or \: x = 11

When x = 0,
y = 8x - 1 \\ y = 0 - 1 \\ y =  - 1

When x = 11
y  = 8(11) - 1 \\ y = 87
x = 0, y = - 1
x = 11, y = 87

Answer is B.

Hope this helps. - M
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What 2 things are recommended in order for you to have a neat graph
Oksana_A [137]

Answer:

use a ruler

or

buy a graph

Step-by-step explanation:

Not the best answer tho... becuase this useless Mod deleted all my answers randomly

6 0
3 years ago
Which of the following fractions has the same value as the decimal number 0.65?
boyakko [2]

Answer:

13/20

Step-by-step explanation:

To find this, divide 13 by 20 to get .65

Hope this helped!

4 0
3 years ago
A figure has vertices at the points (6,5), (6,-4), (-4,-4) and (-4,5). What is the area of the figure
Oxana [17]

Answer:

  90 units²

Step-by-step explanation:

The rectangular figure is 10 units wide (from -4 to +6) and 9 units high (from -4 to +5), so its area is 10·9 = 90 square units.

7 0
3 years ago
The roots of 2x^2-3x=4 are a and b. Find the simplest quadratic equation which has roots 1/a and 1/b
Tju [1.3M]
Find the roots

solve
we use hmm, completing the suare
2(x²-1.5x)=4
divide both sides by 2
x²-1.5x=2
take 1/2 of linear coeiftn and square it
-1.5/2=-0.75, (-0.75)²=0.5625
add that to both sides
x²-1.5x+0.5625=2+0.5625
factor perfect squaer trinomial
(x-0.75)²=2.5625
square root both sides, remember to take positive and negative square roots
x-0.75=+/-√2.5625
add 0.75 to both sides
x=0.75+/-√2.5625

the roots are x=0.75+√2.5625 and x=0.75-√2.5625

1/a and 1/b
1/(0.75+√2.5625) and 1/(0.75-√2.5625)

if the roots of a quadratic equation are r1 and r2 then it factors to
(x-r1)(x-r2)
so then we can factor our equation to be
(x-\frac{1}{0.75+\sqrt{2.5625}})(x-\frac{1}{0.75-\sqrt{2.5625}})

if we were to try and expand it, we would get
x²+0.75x-0.5
that's the simpliest equation with roots 1/a and 1/b where a and b are he roots of 2x²-3x=4


x²+0.75x-0.5 is answer
8 0
3 years ago
Point A is at (-1, -9) and point M is at (0.5, -2.5).
vladimir2022 [97]

Answer:

Point B is located at point (2, 4)

Step-by-step explanation:

Since point M is at the center, you find the distance from point A and add that to the other side.

| -1 - 0.5 | = | -1.5 | = 1.5

| -9 - -2.5 | = | -6.5 | = 6.5

Now we can add that to point M to find point B

0.5 + 1.5 = 2

-2.5 + 6.5 = 4

Point B should be at (2, 4)

4 0
3 years ago
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