6) What is the relation between the normal line and the tangent line? Determine the slope of the tangent line to the curve f(x) at a point (1,5) if the normal line is parallel to the line y = -x + 1 [C:3]

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A: Given question is of the Probability Distribution.

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Q: 8 A. y>x-3 C. y≥x-3 4321SSN7 6 5 -8-7-6-5-4-3-2-1 12345678 X -2 144479 -3 -5 -6 -7 -8 B. y<x-3 D.…

A: Please see the below picture for detailed solution.

Q: A man has 13 coins in his pocket, all of which are dimes and quarters. If the total value of his…

A: Given that a man has total 13 coins that the compose of dimes and quaters whose total value is 205…

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Q: 14. What is the constant term of h(x) if h(x) = f(x) · g(x) when f(x) = x - 7 and g(x) = (2x + 3)²?

A: Use composition of functions,

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A: We need to write down the Augmented matrix.

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A: To graph the given linear equation

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Q: Find the limit algebraically. lim 46) X-2 (x3 + 5x2 - 7x + 1) 5 x

A: To find a limit algebraically we just plug in the value x approaches in the expression the limit has…

Q: Solve the following quadratic equation for all values of x in simplest form.   2(x+10)^2 - 37 = 13

A: NOTE: Refresh your page if you can't see any equations. . add 37 to both sides

Q: (0, 0), (4, 1), (5, 3) (0, 0), (-5,-5), (0, -10) (0, 0), (1, 0), (5, 5) (0, 0), (12, 3), (15,9) (0,…

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Q: Factor: 38a²b3- 36a.

A: Please see the below answer.

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A: We need to find inverse function.

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Q: If a complex number then the value of z satisfies |z+3|+|z −3|= 10, 60 |z+3| |z+z+ (50/3)| (C) 36…

A: Given: |z+3|+|z-3|=10

Q: sample of 600g of radioactive​ lead-210 decays to​ polonium-210 according to the function…

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Q: Write the perimeter in standard form. 7x²-8/ dx+5 X+4 3x²4x 12x2 7-5x+8

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Q: Factor 20d² - 23d - 6. 100

A: Given expression: 20d^2+23d+6

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A: x   y=-x-1 0 =0-1 -1 2 =-2-1 -3 3 =-3-1 -4 5 =-5-1 -6

Q: Given the following vectors, A = 12ax-4ay + 10az B= 3ax +7ay-12az a. Determine 2(A) + B? b.…

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Q: Solve for "s": 12.5s + 6-4.25s = 55.5

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

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Q: ←+ -5 -4 -3 -2 5 LEH Y 2 1+ -3- -5. 1 2 3 +x Find the inequality represented by the graph.

A: Given query is to find the inequality.

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Q: Find the indicated term of the binomial without fully expanding the binomial. The eighth term of (7…

A: NOTE: Refresh your page if you can't see any equations. . use the binomial theorem the value of i…

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Q: Solve (x-4)^2 using the tabular method as shown in the example attached.

A: Used Tabular method as attached example.

Q: In which quadrant does an angle of - terminate? Assume the vertex of the angle is at the origin 74 6…

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Q: Problem 11. Find the values of (a) 55 (mod 7) (b) 1227 (mod 131) (c) 144¹2 (mod 131)

A: a (mod n) is equivalent to the remainder after dividing a by n

Q: Rewrite the expression log 5 Choose the correct answer below. O log 5 3√3x+7 1 O log 5 342 √3x +7 3x…

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Q: Part C: Griddable Record your answers and fill in the bubbles. Response Questions 3. The function…

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Q: Simplify. Write your answer in scientific notation (2.1 10²) (5.6-107) .

A: let  A=(2.1 ×102)(5.6×107)ax×ay=ax+y

Q: Express in simplest radical form. 5√2 + √2

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Q: These values have an average of 10. What is the average distance of those values from that average…

A: Average =sum of objects/number of                                                           objects…

Q: 7. Find all solutions of the equation and express them in the form a + bi. (Enter your answers as a…

A: As we know, the formula to calculate the roots for the quadratic equation ax2+bx+c=0 is:…

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Q: What's the measure of ∠1 if ∠CBD = 75° and ∠ABC = 135°? Lines and curves

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Q: 4) Find the composition f (f (x)). X f(x) = $1 x+1

A: