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2 years ago

Solve the system using substitution 3x - 6y =30 y = -6x + 34

Mathematics

2 answers:

salantis [7]2 years ago

7 0

x = 6

y = -2

(explanation in image)

bixtya [17]2 years ago

5 0

Answer:

<h3>then solve for y as a linear equation</h3>

Step-by-step explanation:

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Mike just hopped on the edge of a merry-go-round. What are his linear and angular speeds if the diameter of the merry-go-round i

dsp73

Step-by-step explanation:

Given that,

The diameter of the merry-go-round, d = 14 feet

Time taken, t = 6 seconds

Radius, r = 7 feet

The linear speed of the merry-go-round is given by :

$v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 7}{6}\\\\=7.33\ m/s$

Also,

$v=r\omega$

Where

$\omega$ is the angular speed

So,

$\omega=\dfrac{v}{r}\\\\\omega=\dfrac{7.33}{7}\\\\=1.04\ rad/s$

Hence, his linear and angular speeds are 7.33 m/s and 1.04 rad/s.

8 0

3 years ago

The equation f(x) = 3x2 − 24x + 8 represents a parabola. What is the vertex of the parabola?

s2008m [1.1K]

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ f(x)=\stackrel{\stackrel{a}{\downarrow }}{3}x^2\stackrel{\stackrel{b}{\downarrow }}{-24}x\stackrel{\stackrel{c}{\downarrow }}{+8} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right) \\\\\\ \left(-\cfrac{-24}{2(3)}~~,~~8-\cfrac{(-24)^2}{4(3)} \right)\implies (4~~,~~8-48)\implies (4~~,~-40)$

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3 years ago

Given the following geometric sequence, find the common ratio: {3, 18, 108, ...).

vodomira [7]

Geometric sequences go up due to a common ratio. Here the common ratio can be worked out by dividing a term by its previous term e.g term 2 divided by term 1.

$18/3 = 6
$

Therefore the common ratio is 6.

4 0

2 years ago

Each day for two workweeks (10 days total), George weighs 4 bags from that day’s production. If the average of the means is 14 o

alina1380 [7]

Answer:

a. 13.7084 oz.

Step-by-step explanation:

Formula for Lower Control Limit =

(LCL = x-bar - A²R-bar)

x - bar = 14 oz

A2 = 0.729

R - bar = 0.4 oz

= 14 - 0.729 × 0.4

= 14 - 0.2916

= 13.7084oz

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3 years ago

Kylie is looking for a job cutting hair. One option is self-employment at the Greenpoint Salon, where she would pay $600 per mon

Tanzania [10]

Answer: how much does a haircut cost

Step-by-step explanation:

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3 years ago