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Nookie1986 [14]
3 years ago
12

​ ​ ​ ​​ ​−9x+3y=27 ​8x+8y=40 ​​

Mathematics
1 answer:
kykrilka [37]3 years ago
7 0
Well first move the x's over to get 9X+27=3y and -8x+40=8y. Now just divide to isolate the y . 3x+9= y and -X+5= y.
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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:

<u>For the question a *</u> 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.

<u>For question b, do the same procedure</u>.

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)

<u>Finally for the question c we have</u>

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
PLZ HELP: the answer to 5(x-1) the answer to this cannot be found online. THIS IS SIMPLE MATH I'M STILL CONFUSED SO PLZ EXPLAIN
777dan777 [17]
That would be 5x-5 because the number inside is multiplied by the numbers inside due to the brackets. Hope u understand my explanation.
4 0
3 years ago
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
Lottie buys a pack of 50 cans of lemonade.
malfutka [58]

Answer:

£15.7

Step-by-step explanation:

32 cans x 50P = 1600p

1600p to Pounds = £26.66 (1600 divided by 60)

Remaining cans = 18 (50 - 32)

18 cans x 20p = 360p

360p to Pounds = £6 (360 divided by 60)

£26.66 + £6 = £32.66

£32.66 (Profit) - £17 (Cost of cans) = £15.66

15.66 to 3SF = 15.7

3 0
2 years ago
Read 2 more answers
What is the slope of the line through (-9,6) (-6,-9)
mina [271]

Answer:

The slope of the line through (−9,6) and (−6,−9) is −5

Step-by-step explanation:

Hope it helps

8 0
3 years ago
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