Find the perpendicular equation for y= − 1/8x+8 with the x intercept at x=-8. Answer in y=mx+b form.

Q: Use technology (Desmos or graphing calculator) to create a linear regression (line of best fit) to…

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Q: Correctly match up the vertex and axis of symmetry for this parabola.

A: We have to find the vertex and axis of symmetry according to the given information

Q: Condense the logarithm expression to the 5 1035 (x) Single quantity, 1095 (y) – 6 logs (2)

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Q: f(x) = 2x² +5 g(x)=√4x+3 Find f'g and f+g. Then, give their domains using interval notation. 2…

A: This question is related to Functions, we will solve it using given information.

Q: Problem 13. Let x, y, z be (non-zero) vectors and suppose w = If z = -3x - 4y, then w = A. Span(x,…

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Q: Which one of the following statements is a universal statement? Select one: On is odd. O5 is not a…

A: Solution: 2n+1 is prime for some n€N. is universal statement... because 2n+1 is prime for some n.…

Q: Let A = {5, 10, 15, 20, 25) and B = {3, 6, 9, 12) (a) Find A - B (b) Find B A (c) Based on your…

A: we know that A-B=A\B=all those element of A which are not in B.Simialrly, B-A=B\A=all those element…

Q: Consider the equation of the line: 5x+3y=5 (a) Solve the equation for y. (b) Give the slope of the…

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Q: a) b) Find the area of the triangle determined by the given point P₁(1, 2, 4), P2(1, -1, 3), P3(-1,…

A: Let's solve for area of triangle and complex number parts.

Q: ind the equation for the graph of the hyperbola with vertices at (0, 2) and (0, -2) and one focus t…

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Q: Prove that Co +2C, +4C₂ +8C3 +..... +2 °C₁ = 3^

A: Given problem:- Prove that C0 +2C1+4C2+8C3+...... + 2n nCn =3n

Q: A liquid solution is passing thru a conical filter 2 feet deep and 4/3 feet across the top, into a…

A: We have to find the rate at which the level of the solution in the cylinder rising.

Q: Use a graphing utility to graph the function. f(x) = =x²-4x² 2 X = 0-6 -4 X = -6 -4 Need Help? -2…

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Q: If function g has the factors (x − 7) and (x + 6), what are the zeros of function g?

A: Given.

Q: E. Write down a sequence for the number of shapes/dots in each pattern. Explain how to obtain the…

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

Q: A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined carrying…

A: Given ,  A chemical manufacturer wants to lease a fleet of 28 railroad tank cars with a combined…

Q: What is the solution to this system of equations? A (-3, -9) O B (-1.4) O C (-3, -26) O D (-1.0)…

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Q: Find (if possible) the rational zeros of the function. (Enter your answers as a comma-separated…

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Q: Solve the inequality. |=| 6 Ono solution 0-6 3

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Q: of the followings are correct about the cardinality of the domain, codomain and range of a function?…

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Q: A sub sandwich shop offers 22 toppings to choose from. How many ways could a person choose a…

A: Given problem:- A sub sandwich shop offers 22 toppings to choose from. How many ways could a person…

Q: a competition allows pair to enter and awards cash prize for the top two teams.Rabia and samantha…

A: We need to find ratio.

Q: If c+di 7 + 4 i 2 + i find √2c-dir C, DER

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Q: QUESTION 8 If $2,000 is invested at 6% compounded continuously, how long (to the nearest year) will…

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Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. log32 128

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Q: Evaluate the logarithm using the change-of-base formula. Round your result to three decimal pl…

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Q: Lucy wants to save money to buy a motorcycle. She invests in an ordinary annuity that earns 2.4%…

A: Here, the future value after 5 years is $5,500 Now, the future value of the annuity =P(1+r)n-1r…

Q: Find the area of the figure below. (Hint: The formula for area of a trapezoid is A = (b1 + b₂) h,…

A: Let's find area of trapazoid.

Q: Fill in the blanks. To solve exponential and logarithmic equations, you can use the following…

A: a) ax=ay if and only if b) logax=logay if and only if c) alogax= d) logaax=

Q: Angelina's family owns a mini-golf course. When discussing the business with a customer, she…

A: Ordered pair is defined as the two numbers which is written in form of pair using parenthesis. In…

Q: A professor had students keep track of their social interactions for a week. The number of social…

A: Frequency is the number of students involved in a corresponding class.  Therefore total number of…

Q: Use the model A = Pe, where A is the future value of P dollars invested at interest rate compounded…

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Q: Scheduled payments of $545, $1157 and $1257 are due in one and a half years, three and half years,…

A: We have to find the equivalent single replacement payment three years from now if interest is 2.4%…

Q: If 6 is subtracted from three times a number, the result is 24

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Q: Given a set A = { p,n,7,H,6,5,m,I}, answer the following questions: PART a. Find the number of…

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Q: true or false The length of a rectangle is equal to 3 times its width. It the perimeter is 240…

A: We need to find length.

Q: a snow day, Samantha created two snowmen in her backyard. Snowman A was built to a height of 43…

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Q: 17. Assume that f'(x) = (x - 1)(x - 2)²(x - 3) 5. (a) Find the interval(s) on which f is increasing.…

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Q: Fill in the table for the exponential function given by f (x) = 3 (2)" 0 1 C X -1 f(x) a a. -8 2 d…

A: Let's find value of a,b,c and d.

Q: Part: 0 / 4 Part 1 of 4 (a) As x → ∞o, g(x) - -80, X CO S

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Q: For the function f(x) = 1 14x' construct and simplify the difference quotient f(x+h)-f(x) h The…

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Q: Find the difference of 15xy and 7xy

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Q: Let Q represent a mass (in grams) of carbon (14C), whose half-life is 5,715 years. The quantity of…

A: This question can be solved using the concept of exponential decay function.

Q: For what value of a will the equation ax² + 4x = 1 have exactly one solution?

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Q: If the determinant of the first matrix below is as given, find the determinant of the other matrix.…

A: Given;  det [ a b c         r s t                 = -2          x y z]

Q: How many milliliters of pure acid should be added to 35 ml. of 30% acid to make 55% acid solution?…

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Q: Consider the following interval. (6, 10] State whether the interval is bounded or unbounded. O…

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Q: 5x + 3 = 4

A: Given: 5x+3=4

Q: For the real-valued functions f(x)=√2x+4 and g(x)=x-1, find the composition fog and specify its…

A: Given, f(x)=2x+4g(x)=x-1

Q: Use the properties of logarithms to expand the expression as a sum, difference, and/or constant…

A: The given logarthim expression,  ln xyz3