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3 years ago

The slope and y intercept of 5x+3y=0

Mathematics

2 answers:

Katarina [22]3 years ago

8 0

Answer:

slope: -5/3

y intercept: 0

Step-by-step explanation:

MissTica3 years ago

6 0

Answer:

slope: -5/3

y intercept: 0

Step-by-step explanation:

use the slope intercept form y=mx+b to find the slope and y intercept

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Find any stationary points of the graph of <img src="https://tex.z-dn.net/?f=y%20%3D%202x%5E2%20%2B%20e%5E-x%5E4" id="TexFormula

melomori [17]

$y = 2x {}^{2} + e {}^{ - x {}^{4} }$

$\frac{dy}{dx} = 4x +( e {}^{ - x {}^{4} } )( - 4x {}^{3} )$

$\frac{dy}{dx} = 4x - 4x {}^{3} e { }^{ - x {}^{4} }$

$\frac{dy}{dx} = 4x(1 - x {}^{2} e {}^{ - x {}^{4} } )$

$\frac{dy}{dx} = 0 \\ 4x = 0 \: \: \: \: \: 1 - x {}^{2} e {}^{ - x {}^{4} } = 0$

$4x = 0 \\ x = 0 \: \: \: \: \: \: y(0) = 0 + e {}^{0} = 1$

<h2> $\frac{x {}^{2} }{e {}^{x {}^{4} } } = 1 \\ x {}^{2} = e {}^{x {}^{4} } \\ 2ln(x) = x {}^{4} \\ these \: 2 \: functions \: do \: not \: intersect$ </h2><h2>Stationary point ( 0 , 1 )</h2>

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6 0

2 years ago

You need a 70% alcohol solution. On hand, you have a 420 mL of a 85% alcohol mixture. How much pure water will you need to add t

Nimfa-mama [501]

Answer:

Pure water =74.1 mL

Step-by-step explanation:

You need 420 mL of a 70% alcohol solution.

420 mL of solution and 70% of it should be alcohol.

So,

420 * 70/100 mL

= 420 * 0.7

= 294 mL of alcohol and the rest should be water.

On hand, you have a 85% alcohol mixture.

The alcohol can only come from the 85% mixture. So, how much of 85% alcohol do we need to get 294 mL of alcohol:

Let

y = alcohol solution needed

85% of y = 294

85/100 * y = 294

y = 294 ÷ 85/100

y = 294 × 100/85

y = 29,400/85

y = 345.88235294117

Approximately, 345.9mL

The rest of 420 mL solution has to be pure water

Pure water = 420 mL - 345.9mL

= 74.1 mL

Pure water =74.1 mL

6 0

3 years ago

What is the length of Line segment A B? Round to the nearest tenth. Triangle A B C is shown. Angle A C B is a right angle and an

Amiraneli [1.4K]

Answer:

D.) 38.6 m

Step-by-step explanation:

Use the cosine ratio:

$cosine=\frac{adjacent}{hypotenuse}$

Because we are given the measure of an angle and the length next to it (adjacent), and we need to find the hypotenuse (the hypotenuse is NEVER considered the adjacent side). Insert the values:

$cos75=\frac{10}{x}$

Now isolate the variable. Multiply both sides by x:

$x(cos75)=x(\frac{10}{x} )$

The x's on the right side cancel each other out. Simplify:

$x*cos75=10$

Now divide both sides by cos75°:

$\frac{x*cos75}{cos75} =\frac{10}{cos75}$

The cos75° on the left side cancels each other. Simplify:

$x=\frac{10}{cos75}$

Insert this value into a calculator to simplify the value of x:

$x=38.6$

The hypotenuse is 38.6 m.

:Done

3 0

3 years ago

I need help on finding the LCD

Kipish [7]

The LCD of the denominator is 12. For this one it is possible to just 'see' that 6 is a divisor of 12. When in doubt, you can always get an answer by just multiplying the denominators. (ie., you can turn 11/12 into 66/72 and 1/6 into 12/72).

In this case, the easiest is to convert 1/6 into 2/12. (multiply both numbers by 2).

Then it becomes:

$9\frac{11}{12} - 9 \frac 2{12} = 9 \frac{11-2}{12} - 9 = \frac9{12} = \frac34$

6 0

3 years ago

3. Classify the triangle with the given side lengths as acute, right, obtuse, 10 points

Alex_Xolod [135]

Answer:

3) Obtuse

4) Right

Step-by-step explanation:

11 + 13 > 25 It is a triangle

11² + 13² = 25²

121 + 169 = 625

290 ≠ 625

Since hypotenuse is larger, the triangle is obtuse

21 + 28 > 35 It is a triangle

21² + 28² = 35²

441 + 784 = 1225

1225 = 1225

Since the hypotenuse is equal to the legs, it's a Right triangle

7 0

3 years ago