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3 years ago

8 +2/3 (6x + 30) = 80

Mathematics

1 answer:

amid [387]3 years ago

5 0

Answer:

X=13

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Dr. Drange has a collection of 90 books. Of the books, 2/9 are math books, 1/6 are science books, and the rest are romance novel

Oduvanchick [21]

So whenever a question says "of" multiply. So 2/9x90= 180/9= 20. 1/6x90= 90/6= 15. 90-(20+15)=90-35=55.

55 of the books are romance novels. (or 11/18)

Hope this helps!

6 0

4 years ago

Read 2 more answers

Find the equation of the line tangent to y = -3x2 + x - 5 at x = -1

SVEN [57.7K]

$\boxed{y+9=7(x+1)}$

<h2>Explanation:</h2>

The Point-Slope form of the equation of a line is given by:

$y-y_{0}=m(x-x_{0}) \\ \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{0},y_{0}):A \ point$

To find the equation of the line tangent to $y=-3x^2+x-5 \ at \ x=-1$ , we need to take the derivative:

$\frac{dy}{dx}=-6x+ 1$

The slope of the line tangent to $y=-3x^2+x-5$ at $x=-1$ can be found evaluationg $x=1$ in the derivative:

$\frac{dy}{dx}\Bigr\rvert_{x=-1}=-6x+ 1 \\ \\ \\ \frac{dy}{dx}\Bigr\rvert_{x=-1}=-6(-1)+ 1 \\ \\ \\ m=\frac{dy}{dx}\Bigr\rvert_{x=-1}=7$

Finding the point:

$x_{0}=-1 \\ \\ Then: \\ \\ y_{0}=-3(-1)^2-1-5=-9 \\ \\ (x_{0},y_{0})=(-1,-9)$

Finally, our line is:

$y-(-9)=7(x-(-1)) \\ \\ \boxed{y+9=7(x+1)}$

The representation of this problem is shown below.

<h2>Learn more:</h2>

Derivative of functions: brainly.com/question/2142425

#LearnWithBrainly

6 0

3 years ago

If you roll a fair die twice, what is the probability of getting an even number at least once? the answer is 0.75 is it right

lozanna [386]

No it should be a 50% chance because the first roll is a independent variable, 6/12=1/2

7 0

4 years ago

Read 2 more answers

Please help! would appreciate it

ololo11 [35]

Answer:

Step-by-step explanation:

here is what I got but I hope it helps :)

4 0

3 years ago

Answer pls and thank u !

deff fn [24]

It would be -3 heehehe

3 0

3 years ago