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dolphi86 [110]
4 years ago
15

What are the solutions to the system of equations? y=x2−5x+6 y=−4x+6

Mathematics
1 answer:
Annette [7]4 years ago
6 0

Answer:

(1,2),(0,6)

Step-by-step explanation:

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Graph a parabola whose x-intercepts are at x = -3 and x = 5 and whose minimum value is y = -4.
shtirl [24]

Answer:

(See explanation and attachment below for further details)

Step-by-step explanation:

The parabola must satisfy the following conditions:

y + 4 = C\cdot (x - k)^{2}

y + 4 = C\cdot (x^{2}-2\cdot k \cdot x + k^{2})

The expression for the x-intercepts are, respectively:

x = -3

4 = C\cdot [(-3)^{2} - 2\cdot k\cdot (-3)+k^{2}]

\frac{4}{C} = 9 + 6\cdot k + k^{2}

x = 5

4 = C\cdot [5^{2}-2\cdot k \cdot (5)+k^{2}]

\frac{4}{C} = 25 - 10\cdot k + k^{2}

By equalizing both expressions:

9 + 6\cdot k + k^{2} = 25 - 10\cdot k + k^{2}

16\cdot k = 16

k = 1

And,

C = \frac{4}{25-10\cdot (1)+1^{2}}

C = \frac{1}{4}

The equation of parabola is:

y = \frac{1}{4}\cdot (x-1)^{2} - 4

Whose graph is included as attachment.

5 0
3 years ago
The ratio of men to women working for a company is 3 to 5. If there are 152 employees total, how many women work for the company
andreyandreev [35.5K]

Answer:

38

Step-by-step explanation:

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7 0
3 years ago
Find a polynomial of the specified degree that has the given zeros <br> Degree3; zeros --2, 2, 4
ololo11 [35]

Answer:

16-(4*x)-(4*x^2)+x^3

Step-by-step explanation:

(x+2)(x-2)(x-4)

16-(4*x)-(4*x^2)+x^3

5 0
3 years ago
If ∆ ≅ ∆, = 5 − 4 and = 8 − 10, find XZ.<br> Please show work!
kirill [66]

Answer:

6

Step-by-step explanation:

Two triangles are congruent so we can use the similarity ratio to find the length of XZ

8x - 10 = 5x - 4 export like terms to the same side of equation

8x - 5x = 10 - 4

3x = 6 divide both sides by 3

x = 2 and so the length of XZ is 8*2 - 10 = 6

7 0
2 years ago
What is the area of the rectangle?
son4ous [18]
Length times width times height

7 0
3 years ago
Read 2 more answers
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