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morpeh [17]
3 years ago
8

Solve 5x-y=5 and 2y-x^2=11 without using trial improvement

Mathematics
1 answer:
iren2701 [21]3 years ago
8 0

Answer:

x = 7, y = 30  and  x = 3, y = 10

Step-by-step explanation:

5x - y = 5, then y = 5x - 5

2y - x^2 = 11

2(5x - 5) - x^2 = 11

10x - 10 - x^2 = 11

-x^2 + 10x -10 = 11

-x^2 + 10x -21 = 0

x^2 - 10x + 21 = 0

(x - 7)(x - 3) = 0

x = 7, y = 30

x = 3, y = 10

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Does the value of x make the equation to 0. Why?
natka813 [3]

Answer:

Since there is no value of x that will ever make this a true statement, the solution to the equation above is “no solution”. Be careful that you do not confuse the solution x = 0 with “no solution”. The solution x = 0 means that the value 0 satisfies the equation, so there is a solution.

Step-by-step explanation:

3 0
2 years ago
I need all these before the morning!! For 20 points
Marta_Voda [28]

Answer:

15) Option B. 3

16) Option H. 144

17) Option B. -21

18) Option H. a^4 + 2

19) Option E. -18

20) Option G. 60

Step-by-step explanation:

15) 217/4 = 54 with a remainder of 1

    217 = 4 ⋅ 54 + 1

So, the 217th digit after the decimal point of 0.3456 is one of the 4n+1st digits (with n=54) and must be 3.

16) a = 1/2, p = 1/16 * 48^2

    = 144cm^2

17) when you solve the equation x^2 + 4x - 21 = 0 you get two solutions.

one is x = 3 and the second one is x = -7. The question is asking for the product so you will multiply these two x values. 3 * -7 = -21.

18) the factors of a^16 - 16 are: (a^8 + 4) (a^4 + 2) (a^4 -2)

Out of these factors that we get, (a^4 + 2) is the only polynomials listed in the answer choices.

19) 2n - 5 / n when n = 1/4

= 2(1/4) - 5 / 1/4

= -18

20) The machine is reading 40 pages in 1 hour, how many will it read in 90 minutes?

So, there are 60 minutes in an hour and the machine is reading 40 pages in 60 minutes. Meaning it is reading 20 pages in half an hour. So 20 + 20 = 40, so we are correct, the machine is indeed reading 20 pages in 30 mins. 90-60 mins = 30 mins.

How many pages is it reading in 30 mins? 20 right. So 40 + 20 = 60

The machine will read 60 pages in 90 mins.

5 0
2 years ago
Read 2 more answers
F(x)=x cubed +3x squared -6x-8
svlad2 [7]

Answer: x = {-4, -1, 2}

<u>Step-by-step explanation:</u>

        q                     p

F(x) = x³ + 3x² - 6x - 8

\frac{p}{q} = +/- \frac{1, 2, 4, 8}{1}

Possible rational roots are: +/- {1, 2, 4, 8}

F(1) = (1)³ + 3(1)² - 6(1) - 8

     =  1 + 3 - 6 - 8

     =  -10    <em>Since the remainder is not 0, then x = 1 is not a root</em>

F(-1) = (-1)³ + 3(-1)² - 6(-1) - 8

       = -1 + 3 + 6 - 8

       =  0   <em>Since the remainder is 0, x = -1 is a root.</em>

Use synthetic division to find the remaining factor:

x = -1  →  x + 1 = 0

-1  |  1     3     -6     -8

   <u>|  ↓    -1     -2      8     </u>

      1      2    -8      0

(x + 1)(x² + 2x - 8)  = 0

Next, factor the polynomial:

(x + 1)(x + 4)(x - 2)  = 0  

x + 1 = 0        x + 4 = 0         x - 2 = 0

x = -1              x = -4               x = 2

 


6 0
3 years ago
Joni put $200 in an interest-bearing account with an annual compound interest rate of 5%. Joni determined that after 3 years, sh
sergejj [24]

Answer:

Joni is not correct because she used the simple interest rate formula, not the compound interest rate formula. She will have $231.53.

Step-by-step explanation:

I already took the test

7 0
2 years ago
Solve the following literal equation for b.<br><br> cb + db = a
PilotLPTM [1.2K]

Step-by-step explanation:

cd + db = a \\ b(c + d) = a \\  \frac{b(c + a)}{a + b} \\ b =  \frac{a}{c + d}

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