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Q: Mary’s father is four times as old as Mary. Five years ago he was seven times as old. How old is eac...

A: Given that Mary’s father is four times as old as Mary. Suppose that Mary’s age is x then her father'...

Q: probability that exactly 6 say they are satisfied. b) If 12 students are randomly selected, find the...

A: The P(X>280) is equal to the blue area under the curve.

Q: Factor by grouping: 40xy + 35x − 8y2− 7y

A: Given expression

Q: Find the solution for x in the formula 6x=21?

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Q: Write the equation of the line parallel to y= 3/2x+3 that passes through the point(−6,1).

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Q: If 3log37=x, find x ?

A: Given,

Q: $______ should be deposited

A:

Q: What is the equation of a circle with center (-4, 2) and diameter 6?

A: Given: The center of circle is (-4, 2) and diameter is 6.

Q: For Exercise, perform the indicated operations and simplify the expression. х x + 2 4

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Q: The entire graph of the function f is shown in the figure below. Write the domain and range of f usi...

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Q: STUDENT HANDOUT NAME Math 100 LAB 17 INSTRUCTOR ELDER Simplify each of the following. 1. V-121 = 2. ...

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Q: For Exercise, graph the functions by plotting points or by using a graphing utility. Explain how the...

A: We would like to graph the following functions and also find out the relation between them- a. f(x...

Q: Given f(x) find (f• f)(x) and write the domain in interval notation.

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Q: Factor by grouping: 3uv + 14u − 6u2 − 7v

A: The given expression is

Q: solve this polynomial equation by using factoring: 18x2-5=9x

A: Consider the polynomial equation. Simplify the equation. Subtract 9x from both side,

Q: Simplify: (5k2 +3k +3)(3k2+ 3k + 6)

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Q: Factor by grouping method: 3x3 + 15x2+2x + 10

A: The expression given is: For grouping the terms, observe that there are 4 terms in the expression, ...

Q: For Exercise, find the least common denominator (LCD). п (5n — 2)(п — 2)' (5n — 2)(n + 7)

A: Denominators are (5n-2)(n-2) and (5n-2)(n+7)

Q: For Exercise, solve for the indicated variable. 2a + 2b? – 2c² for a >0

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Q: For Exercise, identify the statement as an expression or as an equation. Then simplify the expressio...

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Q: Dilate a triangle with vertices (0, 0) ,(0, 2) , and (2, 0) using the scale factor k=3. What is ...

A: Let ABC be a triangle with vertices (0,0), (0, 2) , and (2, 0). length of sides would be as follows...

Q: What is the solution of x2+5x-3=0?

A: Compare these two equations and find a,b,c

Q: For Exercise, a function is given. a. Find f(x + h). f(x + h) – f(x) b. Find f(x) = 5x + 9

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Q: factor out the trinomial 39. 15p2+24p+8 41. 12a3+10a2-42a

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Q: Multiply

A:

Q: factor each trinomial. 35. 6a2-11a+4 37. 3m2+14m+8 39. 15p2+24p+8 41. 12a3+10a2-42a

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Q: Divide and write the answer in the form a + 3 – 7i 2 + 5i bi.

A: To write the given expression in the form (a+bi).

Q: the velue of x is fore which What the exponsion of 18-3x)- will be X. valid? SHOT ON REDMI Y3 AI DUA...

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Q: factor each polynomial 75. 125x3-27

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Q: The entire graph of the function g is shown in the figure below. Write the domain and range of g usi...

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Q: Consider a seesaw with two children of masses ml and m2 on either side. Suppose that the position of...

A: We plug the given values in the given formula.

Q: 25x + 10x* – 15x³ + 30x? – 40 Divide: 5л2

A: Given,

Q: A bank features a savings account that has an annual percentage rate of r = 5.2 % with interest comp...

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Q: For Exercise, use a calculator to approximate the expression to 2 decimal places. 8500 1 + 0.05 (4(3...

A: Given,

Q: A ground meat mixture is formed by combining meat that costs S2.20 perpound with meat that costs S4....

A: Let x lb of first type of meat and (50-x) lb of second type of meat. First type of meat: 1 lb cost...

Q: Factor the common factor out of given expression: 30b2+5ab − 15a2

A: Consider the given expression.

Q: -3.351x4+35.912x3-97.614x2+177.929 x equals the number since 1996 Find the number of slugs for the y...

A: Since x=1996, replace the variable x with x+5 as it will give the value for 2001.(1996+5=2001) The...

Q: Explain the difference between the solution sets for the following inequalities: |x – 3|0

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Q: The fox population in a certain region has an annual growth rate of 9 percent per year. It is estima...

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Q: Write a quadratic function h whose zeros are -5 and -4

A: If f(x) is a quadratic function, and a and b are the root of the function. Then the function can me ...

Q: Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 8 hours per...

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Q: Solve the equation in the image:

A: Given expression is

Q: Factorize: 12x2+ 50xy + 28y2

A: We factor out 2 from the whole expression first, because it is the GCF

Q: Simplify: (3n2 + n3) − (2n3 − 7n2)

A: To simplify the given expression.

Q: 11.V5 * V15 12.V14 * V35

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Q: Find the first term and the common difference. 3 9 15 2' 4' 3, 4 a, =0, d=[ (Simplify your answers. ...

A: Note: Since we only answer up to 1 question, we’ll answer the first question. Please resubmit the qu...

Q: R B K Match each equation with a graph above 4(1.14)® 4(1.49)* 4(0.83)" 3(1.14)" 4(0.67)" a. green (...

A: The equations given are exponential functions of the form y = abx. We know the properties of exponen...

Q: Simplify: (8x2+ 2x4+7x3) +(7x4− 7x3 + 2x2)

A: Given expression is

Q: I don't understand Linear Equation Solutions by Addition.

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Q: Solve for y: Ax+ By= C

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Transcribed Image Text

For Exercise, evaluate the function for the given values of x. - 3x + 7 for x < -1 x² + 3 for –1<x< 4 f(x) = 5 for x 2 4 a. f(3) b. f(-2) c. f(-1) d. f(4) e. f(5)