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3 years ago

: Which is the solution to –7x > 49?

Mathematics

2 answers:

zvonat [6]3 years ago

8 0

X < -7
Hope I could help

AnnyKZ [126]3 years ago

5 0

Answer:

x < -7

Step-by-step explanation:

$-7x>49\\\\\frac{-7x}{-7}>\frac{49}{-7} \leftarrow \text {Division Property of Equality}\\\boxed{x < -7} \leftarrow \text {The symbol switches every time we multiply or divide by a negative in a inequality.}$

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Find dy/dx for 4 - xy = y^3

storchak [24]

Answer:

$\frac{dy}{dx}=-\frac{y}{3y^2+x}$

Step-by-step explanation:

4-xy=y^3

dy/dx=?

$\frac{d(4-xy)}{dx}=\frac{d(y^3)}{dx}\\ \frac{d(4)}{dx}-\frac{d(xy)}{dx}=3y^{3-1}\frac{dy}{dx}\\ 0-(\frac{dx}{dx}y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(1y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -(y+x\frac{dy}{dx})=3y^2\frac{dy}{dx}\\ -y-x\frac{dy}{dx}=3y^2\frac{dy}{dx}$

Solving for dy/dx: Addind x dy/dx both sides of the equation:

$-y-x\frac{dy}{dx}+x\frac{dy}{dx}=3y^2\frac{dy}{dx}+x\frac{dy}{dx} \\ -y=3y^2\frac{dy}{dx}+x\frac{dy}{dx}$

Common factor dy/dx on the right side of the equation:

$-y=(3y^2+x)\frac{dy}{dx}$

Dividing both sides of the equation by 3y^2+x:

$\frac{-y}{3y^2+x}=\frac{(3y^2+x)}{3y^2+x}\frac{dy}{dx}\\ -\frac{y}{3y^2+x}=\frac{dy}{dx}\\ \frac{dy}{dx}=-\frac{y}{3y^2+x}$

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2 years ago

What is the x-intercept of the equation

pishuonlain [190]

your answer option is option 3.

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3 years ago

Melissa wants to purchase a digital camera.The listed price of the camera is $195.99.The camera is no sale for 10% off and Melis

lianna [129]

Answer:

The 10% off sale will save Melissa <u>$10.49</u>.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

$(195.99-5\%\ of\ 195.99)$

$=(195.99-\frac{5}{100}\times 195.99)$

$=(195.99-9.80)$

$=186.19$

Now, adding the sales tax:

$186.19+7\%\ of\ 186.19$

$=186.19+\frac{7}{100} \times 186.19$

$=186.19+13.03$

$=199.22$

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

$195.99-10\%\ of\ 195.99$

$=195.99-\frac{10}{100} \times 195.99$

$=176.39$

So, adding sales tax:

$176.39+7\%\ of\ 176.39$

$=176.39+\frac{7}{100} \times 176.39$

$=188.73$

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

$199.22-188.73$

$=10.49$

Therefore, the 10% off sale will save Melissa $10.49.

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2 years ago

Select all the descriptions that<br> apply to the transformation.

Dafna1 [17]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

What is 6x^-2 simplified

yulyashka [42]

Pemdas
parnthasees
exponnets
mult or div
add or sub

6x^-2 means
6 times x^-2

rmemeber
x^-m=1/(x^m)
6 times x^-2=6 times 1/(x^2)=6/(x^2)= $\frac{6}{x^{2}}$

6 0

3 years ago

Read 2 more answers