1. Two cars start from the same point and rode on opposite directions. After 5 hours they are 200 kilometers apart. If one car is 10 kph faster than the other, find the speed of each car.

Q: 7z^2 = 252 z = and z = (both answers of z are required)

A:

Q: Find all zeros and write a linear factorization of the function x^3 + 4x - 5

A: I am attaching image so that you understand each and every step.

Q: use the quotient rule to simplify 30x-7yz-14 3xyz

A: Given,          30x-7yz-143xyz

Q: A farmer in Indiana wants to examine the relation between the number of very hot days (days when the…

A: Hey, since there are multiple subparts posted, we will answer first three questions in 2nd page. If…

Q: Multiply (1/3sqrtx-3/2sqrty)^2

A: To multiply

Q: -Sune +1

A: This question is based on solution of Trigonometric equation.

Q: Divide showing your work to receive full credit (a* + 45a +18a?) - 9a

A:

Q: Divide (2p^4+5p^3+5p^2)/10p^2 showing work.

A:

Q: describe transformations of the grapf y= square root x into y=-2 square root of x + 3, -5 (-5…

A: We need to describe the transformation from y=sqrt(x) to y = -2sqrt(x+3)-5.

Q: State the product rule and the quotient rule.

A: State the product rule and the quotient rule.

Q: evaluate z=4^5+3i

A:

Q: Find arccos (-

A: This question is based on inverse Trigonomet

Q: Integrate +9 +C

A: topic- indefinite integral

Q: 42z^2=14z

A: Question:.   -42z^2=14z

Q: Modify: y=i321+i400+i1111 Thank you.

A: We have to modify given expression:

Q: order of (Z4, +4) for each element

A: order of (Z4, +4) for each element

Q: Find /2e dx + C

A: ∫α f(x)=α∫f(x) ; where 'α' is the constant. ∫eaxdx =1aeax+C

Q: Evaluate: / sec (5x + 1).5dx

A:

Q: Calculate a · b, where a = (−pq, 3q^2 , −p) and b = (2pq, −p^2 , −3pq^2 ), where p and q are…

A:

Q: Explain how to simplify V10- V5.

A: One of the property of a square root function is :a.a=a2=aAlso, a.b=b.a  (commutative property)So,…

Q: Evaluate: 6x -8x +18x-27 x* +9x?

A: This integral can be solved by the method of Partial fractions. The process is explained in step 2.

Q: Question: diagonalize, -1 0-1 0 0 -1 2 1 2

A:

Q: Find -3/4-1/4.

A:

Q: Find each product. Assume all variables represent positive real numbers -4 k\left(k^{7 / 3}-6 k^{1 /…

A: -4 k ( k73  - 6 k13)⇒-  4 k ×k73 + 24 k ×k13⇒ - 4 k73+ 1  + 24 k13+1 ⇒- 4 k103 + 24  k43 Hence…

Q: Find two consecutive positive integers whose product is 650

A:

Q: 2t^2-3t^2=20t

A: We have