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4 years ago

Work this travel problem based on the data provided in the table. Choose the correct answer.

Mathematics

1 answer:

kotegsom [21]4 years ago

5 0

Answer:

71%

Step-by-step explanation:

The comments lol

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Give it in the function f(x) equals 4X describe the transformation to the graph for the following f(x+1)

Andrew [12]

Answer:

f(x) is shifted 1 unit left

Step-by-step explanation:

The transformation accomplished by f(x-h) is to shift the graph of the function f(x) to the right by "h" units. Here, the value of h is -1, so the graph is shifted left by 1 unit.

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3 years ago

4. There are seven days in a week. How many days are there in 16 weeks?

lesya692 [45]

Answer:

There are 112 days in 16 weeks

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3 years ago

(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

WILL GIVE BRAINLEIST!! How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? thx

asambeis [7]

Question 1132387: How many liters of a 10% solution should be mixed with 60L of 25% solution to get 15% solution? = one click in Excel = 120. ANSWER. 120 liters of the 10% solution.

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3 years ago

Solve each system by graphing. If the solution is not unique, identify the system as “inconsistent” or “dependent”

lapo4ka [179]

Answer:

therefore the solution of the system of equations is (x,y) = (4,2)

the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"

Step-by-step explanation:

i) x + 2 = 6 $\Rightarrow$ x = 4

ii) x - y = 2 $\Rightarrow$ 4 - y = 2 , therefore y = 4 - 2 , therefore y = 2

iii) therefore the solution of the system of equations is (x,y) = (4,2)

iv) the solution is unique and therefore the the system is neither "inconsistent" nor "dependent"

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3 years ago