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Ivan
2 years ago
15

X + 2(y-6) = 0

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
5 0
2x - z = 4
6x - 5z = 18
3z - 2w = -18
If u want me to solve them it’s
1. X = -2y + 12
2. x = 10 - 4/3y | for y, y = 15/2 - 3/4x
3. x = 2+ 1/2z | for z , z = -4 + 2x
4. x = 3 + 5/6z | for z , z = - 18/5 + 6/5x
5. W = -3/2x + 13/2 | for x , x = -2/3w + 13/3
6. x = -5w + 13 | w = -1/5x + 13/5
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Evaluate the expression 3xy - 2x^2 for x=4 and for y = 3<br><br> helpp
hram777 [196]
3*4*3-2*4^2 = 36-32 = 4

hope helped 
5 0
2 years ago
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Please help due soon ​
ohaa [14]

Answer:

Depends

Step-by-step explanation:

Well first to get to fraction multiply 3/4 by two = so there is 6 /8 of a cup of sugar for every 1/8 of butter so  8X6 = 48 so for every full cup like 8/8 there would be 48/8 cups of sugar or 6 full cups

5 0
3 years ago
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In a random sample of 1066 U.S. adults, 580 think that the U.S. government
alexandr402 [8]

Answer:

Step-by-step explanation:

This is a test of 2 population proportions. Let 1 and 2 be the subscript for the adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago. The population proportions would be p1 and p2 respectively.

p1 - p2 = difference in the proportion of adults who think that the U.S. government is doing too little to protect the environment presently and the adults who think that the U.S. government is doing too little to protect the environment 10 years ago.

The null hypothesis is

H0 : p1 = p2

p1 - p2 = 0

The alternative hypothesis is

Ha : p1 ≠ p2

p1 - p2 ≠ 0

it is a two tailed test

Sample proportion = x/n

Where

x represents number of success

n represents number of samples

For the present,

x1 = 580

n1 = 1066

p1 = 580/1066 = 0.54

For 10 years ago,

x2 = 514

n2 = 1038

P2 = 514/1038 = 0.5

The pooled proportion, pc is

pc = (x1 + x2)/(n1 + n2)

pc = (580 + 514)/(1066 + 1038) = 0.52

1 - pc = 1 - 0.52 = 0.48

z = (p1 - p2)/√pc(1 - pc)(1/n1 + 1/n2)

z = (0.54 - 0.5)/√(0.52)(0.48)(1/1066 + 1/1038) = 0.04/0.02178551744

z = 1.84

Since it is a two tailed test, the curve is symmetrical. We will look at the area in both tails. Since it is showing in one tail only, we would double the area

From the normal distribution table, the area above the test z score in the right tail 1 - 0.967 = 0.033

We would double this area to include the area in the left tail of z = - 1.84 Thus

p = 0.033 × 2 = 0.066

Alpha = 0.1

Since alpha, 0.1 > p value 0.066, we would reject the null hypothesis.

Therefore, at a = 0.10, we can reject the

claim that the proportion of U.S. adults who think that the U.S. government

is doing too little to protect the environment has not changed.

4 0
3 years ago
Which angle is an x-intercept for the function y = cos(1)<br> A.0<br> B.2<br> C. £<br> D. 2£
noname [10]

Answer: C. \pi

=======================================================

Explanation:

The x intercept always occurs when y = 0.

Use the unit circle to determine that \cos(\theta) = 0 when \theta = \frac{\pi}{2} \text{ and } \theta = \frac{3\pi}{2}

So if x = \pi, then we have

y = \cos\left(\frac{1}{2}x\right)\\\\y = \cos\left(\frac{x}{2}\right)\\\\y = \cos\left(\frac{\pi}{2}\right)\\\\y = 0\\\\

which shows us that (\pi, 0) is the location of one of the infinitely many x intercepts for this function.

3 0
2 years ago
Marion is observing the velocity of a cyclist at different times. After two hours, the velocity of the cyclist is 18 km/h. After
Ilya [14]
Part A:
Express the given number of hours and velocities of the cyclist as ordered pairs. The time (number of hours) can be our abscissa (x-coordinate) and the velocities can be our ordinate (y-coordinate). The coordinates are therefore (2, 18) and (4, 4). The equation that can be formed in this is established through the two-point equation.

       (y - y₁) = ((y₂ - y₁)/(x₂ - x₁))(x - x₁)

Substitute the known variables.
      (y - 18) = ((4 - 18)/(4 - 2))(x - 2)

Simplifying the equation,
   y - 18 = -7(x - 2)
  y = -7x + 32

<em>ANSWER: y = -7x + 32

</em>
Part B: This can be graph in the Cartesian plane and numbers 1 to 8 can be substituted to y and take note of the ordered pairs for each point. The slope of the line should be -7 and the y-intercept is 32.<em>
</em>
4 0
3 years ago
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