Algebra Answers

At first an athlete jogs at 6 miles per hour and then jogs at 8 miles per​ hour, traveling 11 miles in 1.5 hours...

How long does the athlete jog at each​ speed? (Hint: Let t represent the amount of time the athlete jogs at 6 mph. Then 1.5 − t represents the amount of time the athlete jogs at 8 mph.)

The athlete jogged blank hour (s) at a speed of 6 miles per hour and blank hour (s) at a speed of 8 miles per hour.

Given y= 50+7x, answer the word problem:

1. Apart from the basic charge of PHP50.00 and PHP7.00 per kilometer, the courier service also charges an additional PHP80.00 during afterhours (10pm to 6am) and waiting time charge of PHP60.00 per hour which is applicable 30 minutes after pickup or delivery time. How much will you pay the courier service if he will deliver fireworks from your home to Kilometer Zero in Luneta on February 11, 2021 at 10:30pm but he must wait until it will be lighted at 12 midnight?

Given y=2000/x

1. Given that the van rental is PHP2000.00 per day and the gasoline that will be filled in the tank is 42 liters every week except on the third week where they only filled the van with 21 liters of gasoline that costs PHP45.00 per liter. How much will each of the 15 passengers (not including the driver) share in a month? (Consider that there are 4 weeks in a month and the passengers will travel 5 days a week.)

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Operations on Functions

Given k(x)= √x^2-8 and p(x)=2x^2

What is k ∘ p?

Given h(x)=2000-0.32x, k(x)= √x^2-8 and m(x)=5+7x^3

What is h ∘ k ∘ m?

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e²+3e²-e²

Mr.cowtongue wan te d to give his children 21 video games based im on how many chores they did around the house all year . Dan did 124 chores, nike did 327 and Tom did 252. How could Mr.cowtongue award the video games using each method

Write down the value of N that make the statement true:-150+N=60

Perform the indicated operation if f(x)= 2000/x, g(x) = 100 x 2^x,

1.) g ∘ f

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Given 𝑥 = 60; and 𝑠 = 6, find the z-score that corresponds to each of the following scores up to two decimal places

Consider the following two functions:

1. f : R → R defined by f(x) = 4x − 15.

2. g : R → R defined by f(x) = 15x³.

Prove that both f and g are one-to-one correspondences.

Let f : A → B be a one-to-one correspondence. Then to each b ∈ B there corresponds a unique a ∈ A such that f(a) = b. We define f^-1: B → A by

f^-1(b) = the unique a such that f(a) = b.

The angle of elevation from ground to the top of building and to the top of chimney which is at the top of building are x0 and 450 respectively. The height of building is h. What is height of chimney in meters?