Marie’s age is 12 less than triple Carl's’s age. When you add Marie's age to Carl’s age, you get 68. How old is Marie and how old is Carl? Show work. A.) Use x to represent Carl's age. If x is Carl's age, write an expression for Marie's age using Carl's age x. B.) Write an equation for the situation. C.) Solve the equation from part a. Show your work. What is Marie's age and Carl's age.

Q: s the function increasing or decreasing? L(x) = -0.02x + 3.4

A: Topic - application of derivatives We are given L(x) = -0.02x + 3.4 We know that a function f(x) is…

Q: Find u, v, and ||u + v||. 4, (a) ||ul| (b) |v|| (c) u + v 'T) = A

A:

Q: Exercises: SOLVE BOTH  A. Find the sum of first 7 terms of GP where a =8 ; and r = 4 B. Find the…

A: Given both Gp is finite sequence

Q: B Kathy and Mark Smith believe investing in their retirement is critical. Kathy began investing 20%…

A:

Q: mework i Bill's Roast Beef sells 7 times as many sandwiches as Pete's Deli. The difference between…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The following table represents two functions, f (x) and g(x). f(x) 13 5 1 -1 -2 -2.5 X -4 -3 -2 -1 0…

A: Given data of two functions  x f(x) g(x) -4 13 -3 -3 5 -1 -2 1 1 -1 -1 2 0 -2 5 1…

Q: If P has 1's on the antidiagonal from (1, n) to (n, 1), describe PAP. Note P = pT .

A: Given that P has 1's on the antidiagonal from (1, n) to (n, 1)

Q: Find a polynomial f(x) of degree 5 that has the following -1 (multiplicity 2), -6, 2, 7 Leave your…

A: Given: Polynomial f(x) of degree 5. Zeroes are given as -1(multiplicity 2) , -6, 2, 7

Q: A pebble is tossed into the air from the top of a cliff. The height of the pebble over time is…

A: Concept: The slope of a function can be found in its first derivative. The slope of the curve grows…

Q: The Golden Ratio = 1.61803398874989484820... = 1.618 correct to 3 decimal places. If x based of n…

A:

Q: Write an equation for the function graphed below A y = 3 N 1 -7 -6 -5 -4 -3 -2 -1 -1 GAW~~ -2 -3- 2…

A: see below the answer and explanation

Q: 2. 15 Solve 3n+ 6p, for n

A: Solution: 15 = 3n +6p solve for n

Q: * Findleg: fix) = dx²-3x + 1* Calculate f(-8)= (-8) ²-3(-8) +1 = 2-64 +24+1 = 128+24+| #153 151 105…

A:

Q: the monthly payment that will yield the future value of $250,000 using an ordinary annuity at 10%…

A: FV = Future Value of annuity = $250,000 n = 37*12 = 444 months r = Monthly interest rate = 10%/12 =…

Q: determine 5.549% of $65,693 =

A: 5.549 % of 65693 = ?

Q: 4 z² + (-9 +8j). z 4. z*² + (−6+8. j) z* + (−30+4. j) = 0 Z1 Z2

A: Given equation: 4·z2+-9+8j·z-4·z*2+-6+8j·z*+-30+4j=0 To find: z1 =? z2 = ? Formulas used:…

Q: Solve the system of equations. - 10x + 3y = 5 x=y=4 x = || y = = 10

A:

Q: What is the slope and y intercept for question 6.  Explain how you know.

A: We need to determine y intercept and slope.

Q: Give the equation of the line passing through the point (15, 26) that is perpendicular to 5 Y = -x +…

A: We can find the equation of line perpendicular to the given line in the below steps.

Q: Determine whether the given ordered pair is a solution of the system. Given numbers:(2,-1)   {…

A: Given query is to find the solution of the system.

Q: A quadratic equation ax2 +bx+c=0 has −4 and 2 as solutions. Find the values of b and c if the value…

A: If f(x) has a as a solution then (x–a) is a factor of f(x).

Q: Identify each point as an x-intercept, y-intercept, or neither (0,5) (3,0) (8,-6) a. x-intercept b.…

A:

Q: Use the graph to determine   ​(a) intervals on which the function is​ increasing, if any. ​(b)…

A: A function f(x) is said to be increasing on (a,b) it the graph of f(x) is moving upwards on (a,b)

Q: ==== LE ET X نداندا = =======

A:

Q: 1. Find an explicit formula for the sequence a₁, A2, A3, ... with the initial terms 23 4 5 6 9'16…

A: Given sequence :- 14,-29,316,-425,536,-649...

Q: 3 $289,000, 10%, 35 years

A:

Q: Find the degree of the polynomial y = 5+ 3x8 + x5 +4x7 Submit Question

A: Given y=5+3x8+x5+4x7

Q: Levi Jeans Company at the Silverthorne, Colorado Outlet store sells bootcut jeans for $43 and…

A: Given that price of bootcut jeans = $43 the price of straight-leg jeans = $57

Q: Keiko takes classes at both Westside Community College and Pinewood Community College. At Westside,…

A: We can find the required expression using the given data in the below steps.

Q: K Find the difference. 7n n²-4 4-n² n²-4 (Simplify your answer.)

A:

Q: There was a country concert held at the park. For every 5 men there were 4 women that went to the…

A: As per guideline is multiple questions are posted we are supposed to answer the first one. here the…

Q: [MILD] For positive integer k, let k = k² (k − 1)². What is the value of ●7●? - Answer: -

A: Given query is is to find the value of the function.

Q: Write the total number of one-one functions from set A= {1,2,3,4} to set B={a,b,c}. O 3 O 0

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: 7y - 3 + 5y + 2 variable(s): y constant(s): -3,2 coefficient(s): 7,5 terms: 4 terms ww like terms:…

A: See the details solution in below

Q: Find (3u - v) (u - 3v), given that u u = 6, u v = 8, and v.v = 9. Need Help? Read It Watch it

A: Given:      u·u=6      u·v=8      v·v=9 then,        3u-v·u-3v          =3uu-3v-vu-3v…

Q: A traveling salesman figures it costs 29 cents for every mile he drives his car. How much does it…

A: Given ,                A traveling salesman figures it costs 29 cents for every mile he drives his…

Q: nction, determine whether it is a polynomial function. Function (a) f(x)=9x¯5+4x (b) v(x) = 4(x-4)…

A: The standard form of a polynomial is given by  P(x)=anxn+an-1xn-1+.....+a0 where ai i= 0 to n are…

Q: Find the difference. 13+ 2z 6z 13+ 2z 6z 11 6z 11 6z 11 (Simplify your answer.

A:

Q: Find a polynomial function with the zeros −2​, 1​, 5 whose graph passes through the point (6,120).

A: See the details solution in below

Q: Consider the following augmented matrix: 0 0 2 0 3 | -3 5 1 00 1 22 -1 1 a. Is the matrix in…

A: NOTE: Refresh your page if you can't see any equations. . the given augmented matrix is  as we can…

Q: Find the scale ratio for the following map. 1 inch on the map represents 2 miles The scale ratio is…

A: 1 inch on map represent 2 mile  we have to convert it into scale ratio this is the question of ratio…

Q: When a substance degrades exponentially over time, the amount of time required for half of the…

A:

Q: What is the length of the top side of the triangle below? 45 60 ? 10

A: The given triangle has measures 45°, 60° and 10 We have to find the length of the top side of the…

Q: [SPICY] Given that f(22) + xf (2-) = 1, find the value of f(2). 1(2)= 12 1

A:

Q: Subtract the rational expressions. 3p²-1 3p+3 P-4 4-p - 3p²-1 3p+3 p-4 4-p (Simplify your answer.)

A:

Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts,…

A:

Q: A sailboat costs $23,882. You pay 5% down and amortize the rest with equal monthly payments over a…

A: NOTE: Refresh your page if you can't see any equations. . a sailboat cost $23882 down payment is 5%…

Q: 1. Which of the following inequalities could be represented by the graph below? OAV2-22² +6z-1 O8y>…

A: Consider the graph

Q: How do the graphs of f(x) = |x| and g(x) = −2|x| compare? O A. The graph of g is a vertical…

A: Given query is to find the transformation applied.

Q: If f(x) = 5x + 3, XER. If f(x) = 13, find the value of x. * 02 O 5

A: