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3 years ago

Simplify -2(3x-10)=15

Mathematics

2 answers:

kow [346]3 years ago

7 0

Answer:

-2(3x-10)=15

-6x+20=15

-6x=-5

x=5/6

Step-by-step explanation:

natka813 [3]3 years ago

4 0

Answer is down below!!

Divide both sides by the numeric factor on the left side, then solve.

Exact Form: X= 5/6

Decimal form:

x = 0.83

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3 years ago

What is the median of this data set? 14, 16, 18, 21, 34, 60

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3 years ago

Read 2 more answers

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Xelga [282]

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

$\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta$

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

$\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta$

Simplify. The denominator uses the difference of two squares pattern:

$\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta$

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

$\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta$

Split into two separate fractions:

$\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta$

Rewrite the two fractions:

$\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta$

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

$\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta$

Hence verified.

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3 years ago

What is (22 1/6 + 5 7/12) I do not know the answer help please

SVEN [57.7K]

22 1/6 + 5 7/12 = 27.75

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3 years ago

A company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce e

olasank [31]

Answer:

C(x) = 0.1x+23000

Step-by-step explanation:

Given that a company sells doughnuts. They incur a fixed cost of $23000 for rent, insurance, and other expenses. It costs $0.1 to produce each doughnut. The company sells each doughnut for $0.2.

Let X be the no of units produced

Then we have variable cost = 0.1x

Fixed cost = 23000 (irrespective of value of x)

Total cost

$C(x) = 0.1x+23000$

where C represents the total cost and x no of units produced.

Revenue function would be

$R(x) = 0.2x$ assuming all doughnuts are sold.

Profit function would be

$P(X) = 0.1x-23000$

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3 years ago

Simplify -2(3x-10)=15​

Simplify -2(3x-10)=15