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3 years ago

2x minus y equals 6, x plus y equals negative 3

Mathematics

1 answer:

kap26 [50]3 years ago

8 0

Answer:

y=-4, x=1

Step-by-step explanation:

2x-y=6 x+y=-3

2(-3-y)-y=6 x=-3-y

-6-2y-y=6 x=-3+4

-3y=12 x=1

y=-4

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I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

For the question a * you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

For question b, do the same procedure.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

---------------------------------------

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

--------------------------------------

$x = 6\\\\(x-6) = 0$

--------------------------------------

$P (x) = (2x + 5) (5x - 4) (x-6)$

Finally for the question c we have

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

--------------------------------------

$x = 1\\\\(x-1) = 0$

--------------------------------------

$x = 4\\\\(x-4) = 0$

----------------------------------------

$x = -1\\\\(x + 1) = 0$

-----------------------------------------

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

3 years ago

Simplify.

Yuki888 [10]

Answer:

(B) -25/4

Step-by-step explanation:

-5/3 ÷ 4/15

Copy dot flip

-5/3 * 15/4

Rewriting for easier math

-5/4 * 15/3

-5/4 * 5

-25/4

4 0

3 years ago

What is the area of the triangle? 16 8 10

sertanlavr [38]

Answer:

Step-by-step explanation:

Find the area of both triangles inside the bigger triangle and add them together.

Use the Pythagorean theorem to find the missing length of the leg in the smallest triangle:

a² + b² = c²

8² + b² = 10²

64 + b² = 100

36 = b²

6 = b

Calculate the area of the smaller triangle:

1/2(bxh)

1/2(6 x 8)

1/2(48)

Calculate the area of the bigger triangle:

We know that the longer leg is 10 units because we were able to subtract the length of the smaller triangle's leg from 16.

1/2(bxh)

1/2(10 x 8)

1/2(80)

Add both areas to find the area of the largest triangle:

40 + 24 = 64

3 0

3 years ago

Please Help The scientists believe the forest will be seriously damaged when 21 or more of the forests 200 oak trees are infecte

denis23 [38]

Answer:

7.6 should be the answer.

3 0

2 years ago

Write a mathematical expression for the word expression. Seven times a number plus one

abruzzese [7]

Answer:

7x +1

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers