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ivann1987 [24]
3 years ago
12

(5x - 2y = 22 8x - 2y = 28 Please!! Urgent

Mathematics
1 answer:
alexandr402 [8]3 years ago
6 0

9514 1404 393

Answer:

  (x, y) = (2, -6)

Step-by-step explanation:

Subtract the first equation from the second.

  (8x -2y) -(5x -2y) = (28) -(22)

  3x = 6

  x = 2

Substitute this into either equation and solve for y.

  8(2) -2y = 28

  8 -y = 14 . . . . . . . . divide by 2

  y = 8 -14 = -6 . . . . add y-14 to both sides

The solution is (x, y) = (2, -6).

_____

I like a graphing calculator for a quick solution to such problems.

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Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).
Nadya [2.5K]

Answer:

2x^2

Step-by-step explanation:

Plot the value(s) on the number line where this function is equal to zero: f(x) = (x + 5)(x − 1).  you multiply by each side to get your answer

8 0
3 years ago
If QR=x+29 and PS=x–16, what is the value of x?
Vinil7 [7]

Answer:

61

Step-by-step explanation:

By the triangle midsegment theorem, 2(SP)=RQ.

So, 2(x-16)=x+29, meaning x=61.

3 0
2 years ago
Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so
Stels [109]

Answer: 90% confidence interval is; ( - 0.0516, 0.3752 )

 

Step-by-step explanation:

Given the data in the question;  

n1 = 72, n2 = 17

P1 = 54 / 72 = 0.75

P2 = 10 / 17 = 0.5882

so

P_good = 0.75

P_bad = 0.5882

standard ERRROR will be;

SE = √[(0.75×(1-0.75)/72) + (0.5882×(1-0.5882)/17)]

SE = √( 0.002604 + 0.01424)

SE = 0.12978

given confidence interval = 90%

significance level a = (1 - 90/100) = 0.1, |Z( 0.1/2=0.05)| = 1.645   { from standard normal table}

so

93% CI is;

(0.75 - 0.5882) - 1.645×0.12978 <P_good - P_bad<  (0.75 - 0.5882) + 1.645×0.12978

⇒0.1618 - 0.2134 <P_good - P_bad<  0.1618 + 0.2134

⇒ - 0.0516  <P_good - P_bad< 0.3752

Therefore 90% confidence interval is; ( - 0.0516, 0.3752 )

4 0
3 years ago
Solve 2 cos ø + 2=3 in the interval from 0 to 2 π.Round to the nearest hundredth.
fomenos

Answer:

The value of ∅ for the given trigonometrical equation is 60° .

Step-by-step explanation:

Given as :

The Trigonometrical equation

2 cos∅ + 2 = 3

<u>Now, Solving this equation to get the value of ∅</u>

∴ The equation can be written as

2 cos∅ = 3 - 2

or , 2 cos∅ = 1

or , cos∅ = \dfrac{1}{2}

∴ ∅ = cos^{-1}(\frac{1}{2})

I.e ∅ = 60°

So,The value of ∅ for the given trigonometrical equation = ∅ = 60°

Hence, The value of ∅ for the given trigonometrical equation is 60° . Answer

3 0
3 years ago
What's your real rate of return if your savings account pays 2.5% interest and inflation is at 1%?
kolbaska11 [484]

Answer:

Real rate of return = 1.5%

Step-by-step explanation:

Given:

Savings account return = 2.5%

Inflation rate = 1%

Find:

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Computation:

⇒ Nominal rate  of return = Real rate of return + Inflation rate

⇒ Real rate of return = Savings account return - Inflation rate

⇒ Real rate of return = 2.5% - 1%

⇒ Real rate of return = 1.5%

6 0
3 years ago
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