Given the function 4x10 f(x) = if x < 0 4x20 if x > 0 Calculate the following values: f(-7) f(0)

Q: Prove that for every positive integer n, 11" - 6 is divisible by 5.

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Q: The graph of fis translated a whole number of units horizontally and vertically to obta The function…

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Q: In 2005, a school population was 1007. By 2008 the population had grown to 1382. 1) How much did the…

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Q: Complete the table for each equation. Then identify the solution to both equations. 2 ? ? y=x+2…

A: To find the solution , we can find the intersect point of the equations .

Q: What is the maximum number of zeros (x-intercepts) that a polynomial of degree 12 can have?

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Q: 64 5 4 3 on Cy 2 1 -6 -5 4 -3 -2 -1 4 -6- 1 2 3 45 6 O Write the domain of the function using…

A: Domain is the interval where function is defined.

Q: Susan is making monthly payments if 207.31 to pay off a 3 1/2 year loan for 6400 what is her add on…

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Q: 1. 3. 2.

A: Triangle all postulates are as follows  ( a ) Angle - Angle - side theorem  ( b ) side - side - side…

Q: car costs $45,600. You pay 20% down payment and amortize the rest with equal monthly payments over a…

A: Cost of a car is given.20% of the cost is paid as down payment. We have to find the monthly…

Q: 96x²+32-71x2-9y+ 7xy - 24 - 3xy + 4y + 5y 3.9b + a³ + 27-3a² + 5a³ - 2a² +2.1b + 7 3 9 2m + 9m³-1/n+…

A: The given expressions,…

Q: A) Let Q be an orthogonal matrix. Show that |det(Q)| = 1. B) Show that the product of two orthogonal…

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Q: Q4: The solution of y(4) - 5y" + 4y = 0 is: (B) C₁e* + C₂e + c3e²x + ₁е-²x of 13 !!! (C) c₁e* +…

A: y(4)-5y"+4y=0

Q: A ball is thrown directly upward from an initial height of 200 feet with an initial velocity of 96…

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Q: List the sequence of transformation in a mathematically correct order for the transformation g(x) =…

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Q: Problem: How many ordered quadruples (a, b, c, d) satisfy where a, b, c, d are positive integers?…

A: We have to find the number of possible ordered quadruples possible. Number of solution of equation…

Q: Given: ZA= /C BE BD Prove: AABE = ACBD E Statements B D Reasons Given ZABE~/CBD Vertical Angles Thm

A: Given  Angle C = angle A BE= BD

Q: -6x-18 x+3 Graph the rational function h(x) = (x) = -

A: Given h(x)=-6x-18x+3 We need to plot the graph for this

Q: If you want to have $85,000 in 10 years, what equal quarterly deposits should you put into an…

A: To calculate the equal quarterly deposits required to accumulate $85,000 in 10 years with an…

Q: ind the area given 9 cm # 36 cm 21 cm

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Q: 6.D Use the graph of polynomial function f(x) below to find: f(x) The minimum degree of f(x) The…

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Q: 8 f(x) = Σ (n+4)anx"-4 n=4

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Q: Identify and explain the error in the solution for k. 쓸 = 4 2 2 ( 1²/2² ) = 2 (4) 3 = 8 43 = 83 k =…

A: k32=42k32=24k3=8k33=83k=512

Q: In this magic square, which uses all the integers from 7 to 15, each of the rows, columns and the wo…

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Q: 16.E The model below can be used to predict the number of runners participating in a local marathon:…

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Q: 1. a) Calculate the given second-order determinant b) find the solution of the given equation in the…

A: We have to find the determinant and find the solution of the given equation. To find solution of the…

Q: K Find an equation for the ellipse described. Foci at (±3,0); x-intercepts are ±5 A. OB. O C. O D. X…

A: Foci is at ±3,0 X- intercepts are ±5 General equation of ellipse is x-h2a2+y-k2b2=1

Q: Evaluate the following. 11 = 0 9 1-4 = 0 X

A: a) 9 b) -4

Q: To ensure reliable performance of vital computer systems, aerospace engineers sometimes employ the…

A: To ensure reliable performance of vital computer systems, aerospace engineers sometimes employ the…

Q: 9m

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Q: DATE radium has a weight of 1.5 mg and a half-life of approximately 6 years. How much of the sample…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: What is the domain of the function f(x) = = 2z²+5x+3 21²-132-24 ?

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Q: Simplify the algebraic expression. 8(5y-6)+3(5y+4)

A: 85y-6+35y+4

Q: Write the system of equations as an augmented matrix 2n + 2y 200 ny 400 150 y 000 000 000 00

A: Given: System of equations:c-2n+2y=200n-y=400y=150 We are required to: Form the augmented matrix of…

Q: What is the standard form equation of an ellipse that has vertices (0,−10) and (−12,−10) and foci…

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Q: Suppose that the functions p and g are defined as follows. p(x) = 2x+1 q (x) = -x² Find the…

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Q: Prove (or disprove) that: 1 1623 1633 C C² b3 c3 1 d = (b − a)(ca)(d - a)(c - b)(d - b)(d - c) d²…

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Q: Write an equation (any form) for the quadratic graphed below -5 -4 -3 -2 y= → 5 4 3 2 7 -31 -4 5 1 2…

A: As we can see the graph  vertex = (-2,3)  and it passes through (-3,1)

Q: In ΔKLM, l = 820 cm, m = 560 cm and ∠K=169°. Find the length of k, to the nearest centimeter.

A: Cosine rule

Q: Use algebra to find the point at which the line 7 29 f(x) intersects the line g(x) 6 = y -X 4 - 3 2…

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Q: logg 2 = 1 3

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Q: 8. Express (3x - 4)(x + 7) - ² a as a trinomial in standard form.

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Q: Given the parent function f(x) = 2*, how would the function g(x) = 2x+4 compare to f(x)

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Q: 16. Find the equation that is equivalent to the quadratic equation shown. x² - 6x-27 = 0 A. B. C. D.…

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Q: B. The measures of two sides are given. Between what two numbers must the third side fell. Let x be…

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Q: Maximize P = 4x + 6y subject to 2x + y ≤ 8 x + 2y 0 whose feasible region is given below: -2 -8 6…

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Q: State the domain and range of f(x)=2(x+3)2-6

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Q: Find the inverse of the function. - 3³√x-2 f(x) = √/x

A: First swap x with y and solve for y, this is the inverse function.

Q: Suppose a goalie allows a goal to be scored on the first shot they face. However, the goalie saves…

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Q: An investor invested a total of $2,000 in two mutual funds. One fund earned a 7% profit while the…

A: given total invested of $2000 in two mutual fund. one fund earned 7% profit while the other earned…

Q: Indicate the additional information needed to enable us to apply the specified congruence postulate.…

A: Here we have given a two traingles△MKN and △VTU: Given that: ⇒∠MKN=∠VTU and VT=KN.   What is ASA…