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vagabundo [1.1K]
1 year ago
6

Solve the system and enter the smallest x-coordinate first

Mathematics
1 answer:
ankoles [38]1 year ago
4 0
Answer:
(2,-3)(6,5)
Step-by-step explanation:
We can use substitution to get the equation: x^2-6x+5 = 2x-7
Solve:
x^2-6x+5 = 2x-7
x^2 = 8x-12
x^2-8x+12 = 0 (we now have a polynomial)
(x-6)(x-2) = 0 (set each equation to equal 0 and solve)
x-6 = 0 --> x=6
x-2 = 0 --> x=2
To get the Y coordinates:
y=2(2)-7 --> y = -3
y = 2(6)-7 --> y = 5

Check work:
5 = 6^2-6(6)+5 --> 5 = 36-36 +5 --> 5=5
-3 = 2^2-6(2)+5 --> -3 = 4-12+5 --> -3=-3
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I need help with letter c and d
Lady bird [3.3K]
C. Claire could be 6 foot 8 while Alice could be 5 feet.

D. It would be 3/4 to 4/4 because Alice is 1/4 shorter than Claire.
3/4 : 4/4 | 6/8 : 8/8 | 9/12 : 12/12 | etcetera.

5 0
3 years ago
Part 1
svetlana [45]

Answer:

A: This polynomial has a degree of 2 , so the equation 12x2+5x−2=0 has two or fewer roots.

B: The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots.

Step-by-step explanation:

f(x) = 12x^2 + 5x - 2.

Since this is a quadratic equation, or a polynomial of second degree, one can easily conclude that this equation will have at most 2 roots. At most 2 roots mean that the function can have either 2 roots at maximum or less than 2 roots. Therefore, in the A category, 2nd option is the correct answer (This polynomial has a degree of 2 , so the equation 12x^2 + 5x − 2 = 0 has two or fewer roots).

To find the roots of f(x), set f(x) = 0. Therefore:

12x^2 + 5x - 2 = 0. Solving the question using the mid term breaking method shows that 12*2=24. The factors of 24 whose difference is 5 are 8 and 3. Therefore:

12x^2 + 8x - 3x - 2 = 0.

4x(3x + 2) -1(3x+2) = 0.

(4x-1)(3x+2) = 0.

4x-1 = 0 or 3x+2 = 0.

x = 1/4 or x = -2/3.

It can be seen that f(x) has two distinct real roots. Therefore, in the B category, 1st Option is the correct answer (The quadratic equation 12x2+5x−2=0 has two real solutions, x=−2/3 or x=1/4 , and therefore has two real roots)!!!

8 0
3 years ago
A group of 4 students share 8/12 of a pizza how many pieces will each student get?
TEA [102]

Answer:

1/6 of a pizza

Step-by-step explanation:

We need to take the amount of pizza and divide by the number of students

8/12 ÷ 4

Copy dot flip

8/12 * 1/4

8/48

Divide the top and bottom by 8

1/6

Each person will get 1/6 of a pizza

I do not know how many slices because it depends on how many slices each pizza is cut into.

8 0
3 years ago
Using the product property of square roots what is the square root of 28 and 150
Svetllana [295]
I assume you need find out √28=√7*4=2√7
√150=√5*5*6=5√6
hope it helps
3 0
3 years ago
Four cards cost £12. How much will five cards cost
SVEN [57.7K]

Answer:

it would cost £15

Step-by-step explanation:

12 ÷ 4 = 3

3 × 5 = 15

7 0
3 years ago
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