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3 years ago

2 y + 4 x = 8, Solve for y

Mathematics

2 answers:

S_A_V [24]3 years ago

5 0

Answer:

It can be 1,2,4.

Step-by-step explanation:

mash [69]3 years ago

4 0

Answer:

y=−2x+4

Step-by-step:

2y+4x=8

Step 1: Add -4x to both sides.

4x+2y+−4x=8+−4x

2y=−4x+8

Step 2: Divide both sides by 2.

2y /2 = −4x+8 /2

y=−2x+4

You might be interested in

General term for -13, -11, -9, -7

timurjin [86]

The general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

<h3>Arithmetic progression</h3>

-13, -11, -9, -7

First term, a = -13
Second term = -11

Common difference, d = Second term - first term

= -11 - (-13)

= -11 + 13

= 2

Therefore,

Tn = a + (n - 1)d

Where,

n = number of terms

Tn = a + (n - 1)d

= -13 + (n - 1)2

= -13 - 2n - 2

Tn = -15 - 2n

So therefore, the general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.

Learn more about arithmetic progression:

brainly.com/question/6561461

#SPJ1

5 0

2 years ago

How do i solve this

MAXImum [283]

Answer:

x = 0, x = 3

Step-by-step explanation:

Given

- 4x² = - 12x ( add 12x to both sides )

- 4x² + 12x = 0 ← factor out - 4x from each term

- 4x(x - 3) = 0

Equate each factor to zero and solve for x

- 4x = 0 ⇒ x = 0

x - 3 = 0 ⇒ x = 3

5 0

3 years ago

Convert fraction no. 2/7 to percentage

alina1380 [7]

2/7 ≈ 0.2857
To determine percentage, move decimal 2 places to the right. ≈ 28.57%

3 0

2 years ago

Read 2 more answers

A study was recently conducted at a major university to estimate the difference in the proportion of business school graduates w

sveta [45]

Answer:

$(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412$

$(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318$

And the 95% confidence interval would be given (-0.1412;-0.0318).

We are confident at 95% that the difference between the two proportions is between $-0.1412 \leq p_A -p_B \leq -0.0318$

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$p_A$ represent the real population proportion for business

$\hat p_A =\frac{75}{400}=0.1875$ represent the estimated proportion for Business

$n_A=400$ is the sample size required for Business

$p_B$ represent the real population proportion for non Business

$\hat p_B =\frac{137}{500}=0.274$ represent the estimated proportion for non Business

$n_B=500$ is the sample size required for non Business

$z$ represent the critical value for the margin of error

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

The confidence interval for the difference of two proportions would be given by this formula

$(\hat p_A -\hat p_B) \pm z_{\alpha/2} \sqrt{\frac{\hat p_A(1-\hat p_A)}{n_A} +\frac{\hat p_B (1-\hat p_B)}{n_B}}$

For the 95% confidence interval the value of $\alpha=1-0.95=0.05$ and $\alpha/2=0.025$ , with that value we can find the quantile required for the interval in the normal standard distribution.

$z_{\alpha/2}=1.96$

And replacing into the confidence interval formula we got:

$(0.1875-0.274) - 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.1412$

$(0.1875-0.274) + 1.96 \sqrt{\frac{0.1875(1-0.1875)}{400} +\frac{0.274(1-0.274)}{500}}=-0.0318$

And the 95% confidence interval would be given (-0.1412;-0.0318).

We are confident at 95% that the difference between the two proportions is between $-0.1412 \leq p_A -p_B \leq -0.0318$

7 0

3 years ago

The water level varies from 12 inches at low tide to 52 inches at high tide. Low tide occurs at 9:15 a.m. and high tide occurs a

balandron [24]

52 inches - 12 inches = 40 inches
amplitude: a = 40 inches / 2 = 20

<span>f(x)=20cos(bx)+c</span>
the value of c is 32... since the centre of the has been moved up 32 units

the minimum amplitude = 32 - 20 = 12
the maximum amplitude = 32 + 20 = 52

<span>f(x)=20cos(bx)+32</span><span>
if the curve takes 6 1/4 hours from low to high tides (9:15 am to 3:30 pm) then it will take 12 1/2 hours to complete a full cycle.

adjust the period by converting 12 1/2 hours to an angle measure.

360</span>°/12 = 30°
30° / 12 = 15°

12 1/2 = 360° + 15° = 375°

f(x) = 20 cos(375°) + 32
f(x) = 20 * 0.97 + 32
f(x) = 19.4 + 32
f(x) = 51.4

5 0

3 years ago