1. A binary operation * is defined on the set R, of real numbers by a * b = ab/4. Find the value of root 2 * root 6. a. root 3
b.3 root 2/4
c. root 3/ 2
d. root 2 / 2
2. two functions f and g are defined by f(x) = 3x - 1 and g(x) = 2x^3, evaluate fg(-2)
a. -49
b. -47
c. -10
d. -9
3. Express the force, F = ( 8N, 150) in the form ( a i + bj) where a and b are constants
a. (-4 root 3)i + 4 j
b. (2 root 3)i - 3 j
c. i - 4j
d. 2i - j
4. In a class of 50 students, 35 like science and 30 like History. what is the probability of selecting a student who likes both science and History
a. 0.10
b. 0.30
c. 0.60
d. 0.70
5. What is the value of r if the distance between the points ( 4, 2) and (1, r) is 3 units
a. 1
b. 2
c. 3
d. 4

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1

the 3rd on is correct

step-by-step explanation:

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"we buried my cousin last summer. he was 32 when he hanged himself from a closet coat rack in the throes of alcoholism, the fourth of my blood relatives to die prematurely from this deadly disease. if america issued drinking licenses, those four men—including my father, who died at 54 of liver failure—might be alive today. that is a good example piece   some steps that are .

. writing something that happened to you

.read a book you like to get ideas from there

. lastly you can make a venn diagram

hope this plz make brainliest

step-by-step explanation: