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3 years ago

What is the y-coordinate of the solution

Mathematics

2 answers:

Leto [7]3 years ago

7 0

Answer:

y=2

Step-by-step explanation:

y = 2x-1

y = -2x+5

Add the two equations together to eliminate x

y = 2x-1

y = -2x+5

------------------

2y = 4

Divide by 2

2y/2 = 4/2

y =2

EastWind [94]3 years ago

6 0

Answer:

(0, 2) is the y-coordinate.

Step-by-step explanation:

1. 2x-1=-2x+5

2. 2x=-2x+6

3. 4x=6

4. x=1.5

plug in the 1.5 in each equation and you get 2 for the y-coordinate.

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Please solve thanks lovee

Bumek [7]

Answer:

m∠1 = 93.5°

Step-by-step explanation:

By theorem of intersecting chords inside a circle,

If two chords intersect inside a circle, angle formed between the chords measure half the sum of the measures of the intercepted arcs.

m∠1 = $\frac{1}{2}(92+95)$

= $\frac{187}{2}$

= 93.5°

Therefore, measure of angle 1 is 93.5°.

4 0

3 years ago

If a manufacturer conducted a survey among randomly selected target market households and wanted to be 95% confident that the d

katen-ka-za [31]

Answer:

We need a sample size of least 119

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Sample size needed

At least n, in which n is found when $M = 0.09$

We don't know the proportion, so we use $\pi = 0.5$ , which is when we would need the largest sample size.

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.09 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.09\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.09}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.09})^{2}$

$n = 118.6$

Rounding up

We need a sample size of least 119

6 0

3 years ago

Which transformation is happening in the image below

s2008m [1.1K]

Answer:

B.) Reflection over y=-3

Step-by-step explanation:

8 0

3 years ago

What is 2015722184 multiplied by 142748261654 i cant find this on calculator for some reason

Nostrana [21]

Answer:

The Exact answer is 287740837743404332336.

The Decimal Answer is 2.87740837 ⋅ 10 ^20.

8 0

3 years ago

You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was

Doss [256]

Answer:

A) The linear relation between price and demand is:

$d=-550x+2750$

The revenue R is:

$R=-550x^2+2750x$

B) The profit functionP is:

$P=-550x^2+2750x-30$

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

At price x=3, the demand is d=1100.
At price x=2.5, the demand is d=1375.

We will model the relation:

$d=mx+b$

We can calculate the slope m as:

$m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550$

Then, replacing one point in the linear equation, we can calculate the intercept b:

$d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750$

Then, the linear relation between demand and price is:

$d=-550x+2750$

The revenue R can be expressed as the multiplication of the price and the demand:

$R=x\cdot d=x(-550x+2750)=-550x^2+2750x$

If we have a fixed cost of $30 per month, the profit P is:

$P=R-FC=-550x^2+2750x-30$

We can maximize the profit by deriving the profit function and making it equal to zero.

$\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5$

This corresponds to a profit of:

$P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5$

5 0

3 years ago

What is the y-coordinate of the solution​

What is the y-coordinate of the solution