act-dog

The piecewise functions f and g are given. − x for x < 0 f (x) = { 1 − x for x ≥ 0 ⎪x⎪ + 7 for x ≤ −1 g (x) = { x − 3 for x > −1 What is the value of f (g ( − 1) ) ?

Let f be defined by f ( x ) = 4x + 7 . Let g be defined by g ( x ) = −2 x + 11x + 1 . The graphs of y = f ( x ) and y = g ( x ) intersect at one of the following ( x,y ) points. Which one?

Given that i is the imaginary unit, which of the following numbers is equal to (7 + 4i) ?

The product of 2 complex numbers, x and y , is a real number that is irrational. Which of the following statements cannot be true?

The real solution of the equation 3 e = 12 is:

The figure shows nABC , a right isosceles triangle, inscribed in a circle with center O and radius 10 cm. ⏜ What is the length, in centimeters, of arc A B shown as the thick curved line? A B 10 cm O C

The hyperbolas − = 1 and − = 1 are graphed 9 4 36 25 in the standard (x,y) coordinate plane. Which of the following equations is an ellipse that intersects all 4 vertices of the hyperbolas? y x O _ x 2 _ y

Given that f (x) = √ 2x − 1 , which of the following −1 expressions is the inverse function, f (x) ? _ 1

In how many arrangements can you arrange 3 green cones and 3 blue cones in a line along the boundary of football ground if no two cones of the same color are to be adjacent?

Anna is able to buy 5 more articles for $300 after the price of each article decreased by 15%. What is the new selling price of each article?

On sports day, if 24 children were made to stand in a column, then 10 columns could be formed. If 240 children were made to stand in a column, then how many columns could be formed?

Roberts has a property worth of $1023.65. But in a record his property worth is written as greatest positive even integer less than or equal to his property worth and it is divisible by 100. Find the difference between actual property and recorded property worth?

x contains 85% water and 15% oil; how many more liters of water than liters of oil are in 200 liters of solution x?

A man spends 70% of his income. If his income increases by 20%, then what will be his new expenditure?

A jeep travels a certain distance taking 6 hours in the forward journey. During the return journey, it increased its speed by 12km/hr and took 4 hours. What is the distance travelled by the jeep?

A number is as much greater than 36 as is less than 86. Find the Number.

Two numbers are in the ratio 3:5. If 9 is subtracted from each, the new numbers are in the ratio 12:23. The smaller number is?

Arjun and Sajal are friends, each has some money. If Arun gives $30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives $10 to Arjun, Arjun will have thrice as much as is left with Sajal. How much money does each have?

Professors borrowed Rs. 5000 from the university at simple interest. After 3 years, the university got Rs. 300 on interest. What was the rate of interest per annum?

In a group of 18 children, there are twice as many girls as boys, and twice as many right-handed people as there are left-handed people. If a sixth of the boys are left-handed, how many girls are right-handed?

John would make the 3-letter codes with diffenrent 5 vowels and 20 consonants with the condition that the middle letter must be vowel and the first letter and the third letter must be different from each other and are both consonant. How many different codes can be made?

Allen starts from X, goes to Y. At the same time Bob starts from Y and goes towards X. Once Allen reaches Y he changes his direction and returns to X. Once Bob reaches X, he changes his direction and returns to Y. Throughout Allen travels at 54 kmph and Bob travels at 78kmph. By the time they meet for the second time, Bob covers 48 km more than Allen. Find the distance between X and Y.

A sporting goods store carries only yellow and white golf balls. At the beginning of the day it had 600 golf balls in stock, and by the end of the day it had sold 80% of its inventory of golf balls. If the store sold an equal number of yellow and white golf balls, and in doing so sold all of its white golf balls, how many yellow golf balls did the store have to begin the day?

A certain business printer can print 100 characters per second, which is 5 times faster than an average printer. If an average printer can print 4 times faster than an electric typewriter, how many characters per minute can an electric typewriter print?

A bag contains 11 candy bars: three cost 50 cents each, four cost $1 each and four cost $2

each. How many ways can 3 candy bars be selected from the 11 candy bars so that the total cost is more than $4?