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4 years ago

How do I solve this system

Mathematics

1 answer:

sp2606 [1]4 years ago

4 0

Solve the second equation for x to get x=-9-y, the plug it in into the first equation, so you get 2(-9-y) -3y = 12, distribute the 2, so you get -18-2y-3y=12, add like terms so you get -18-5y = 12, then move the constants to the right so you get -5y = 30 and solve to get y=-6, and then plug it into x=-9-y to get x=-3

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The mayor of a town has proposed a plan for the annexation of a new community. A political study took a sample of 10001000 voter

Reil [10]

Answer:

We accept H₀

p-value = 0,1618

Step-by-step explanation:

We are going to solve a one tail proportion-test ( right tail)

We assume Normal distribution

Sample population 1000

Political strategist to test wants to test:

Null hypothesis H₀ p = p₀ or p = 26 %

Alternate hypothesis Hₐ p > p₀ or p > 26%

We assume CI 90 % then

α = 10 % α = 0,1 and z score for α = 0,1 is critical value

z = 2,32 ( note 2,32 is z score for α = 0,1017 "good approximation")

To compute z(s)

z(s) = ( p -p₀ ) / √ p₀q₀/n

z(s) = ( 0,29 - 0,26 ) /√ 0,26*0,74/1000

z(s) = 0,03 / 0,014

z(s) = 2,14

We compare z(s) and z(c)

z(s) < z(c)

2,14 < 2,32

z(s) is in the acceptance region we accept H₀

The p-value for z(s) is from z-table

p-value = 0,1618

5 0

3 years ago

Find the unit price. $3.06 for 17 bananas

Lorico [155]

$0.18 because $3.06 is for 17 bananas so you divide 3.06 by 17

you will get 0.18 per banana

6 0

3 years ago

The perimeter of a rectangle is 42 inches. If the width of the rectangle is 6 inches, what is the length?

expeople1 [14]

42 = 6(2) + 2x
2x = 42 - 12
2x = 30
x = 15

4 0

4 years ago

Read 2 more answers

The table shows a linear function. Which equation represents the function.

mote1985 [20]

Answer:

$\large\boxed{f(x)=\dfrac{3}{2}x-1}$

Step-by-step explanation:

$\text{The slope-intercept formula:}\\\\y=mx+b\\\\m\ -\ slope\\b\ -\ y-intercept\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{From the table we hve two points (0, -1) and (2, 2). Substitute:}\\\\m=\dfrac{2-(-1)}{2-0}=\dfrac{3}{2}$

$\text{Therefore the equation is}\ f(x)=\dfrac{3}{2}x-1\\\\\text{Check for the point (4, 5):}\\\\f(4)=\dfrac{3}{2}(4)-1=(3)(2)-1=6-1=5\qquad\ CORRECT$

7 0

3 years ago

Perform the indicated operations. Write the answer in standard form, a+bi. -4 + 4i / -3-6i

vesna_86 [32]

Answer:

$\frac{ - 4 + 4i}{ - 3 - 6i} \\ \frac{ - 4 + 4i}{ - 3 - 6i} \times \frac{ - 3 + 6i}{ - 3 + 6i} \\ = \frac{12 - 24i - 12i + 24 {i}^{2} }{ {( - 3)}^{2} - {(6i)}^{2} } \\ = \frac{ - 12 - 36i}{45} \\ = \frac{ - 12}{45} \frac{ - 36i}{45} \\ than \: you$

5 0

3 years ago