hy? ssion is easier to factor? he patterns of dots below represent the first three star numbers. Figure 1 Figure 2 Figure 3 Q O0 Qa o 21 a. What are the first three star numbers? b. Find the next three star numbers. C. Write an equation you cou ld use to calculate the nth star number. Page 2 of 6 dapted from Frogs, Fleas,.. 113

Q: F=-GMm solve for G

A: Given,

Q: 2. The vertices of a triangle are A (3,2), B (7,2), and C (3, 5) (a) Verify that triangle ABC is a r...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: fixed weekly cost of $565.00, and variable costs for making a roast beef sandwich are $0.55. Complet...

A: a. The cost function is the sum of fixed and variable cost.

Q: Use synthetic division to determine whether the number is a zero of the polynomial function. 3i; g(x...

A: Consider the polynomial function

Q: ln(x)=e^-x

A: Given equation is

Q: Find the zeros of the given function and state the multiplicities. f(x) = -2xˆ2 (x-3)ˆ3 (x+5)ˆ2

A: Given:

Q: What is the reciprocal of x2 x − 4 ?

A: The function is given by,

Q: One and one-half ounces of a medication are required for a 180-pound adult. At the same rate, how ma...

A: Let x be the amount of ounces of medication required for 270-pound adult.Then, x-1.5 is the amount o...

Q: Last year, the  average  American  used  167  disposable  water  bottles  (16.9  oz  or  0.132  gall...

A: The cost of 1 bottle of water is $1.00The cost of 167 bottle of water is $1.00 times 167= $167

Q: How do I solve these equations? And How do I determine the type of solutions they are?

A: given information.

Q: СР 8 Problem 8.4: Describing Equations Without graphing, describe the graph of each equation. Be sur...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Suppose than an object that is originally at room temperature of 30 Celsius is placed in a freezer. ...

A: Given:

Q: Find the quotient and remainder using long division. x352 The quotient is Preview The remainder is P...

A: Since you have submitted two questions, we'll answer the first question. For the second question ple...

Q: Determine the vertical asymptotes of the graph of the function. f(x) = x + 1 / 5xˆ2 - 21x + 4

A: Given,

Q: solve this equation  log3(x2+2x+1)=2

A: Given:

Q: Farmer Ed has 450 meters of fencing, and wants to enclose a rectangular plot that borders on a river...

A: To find: The length, width and the area of rectangular plot.

Q: What are the blanks?

A: To identify the growth model

Q: Find the point of intersection of the given pair of straight lines. y=있-1 x-6 (Type an ordered pair....

A: The given equations are,

Q: Given that f(x) = 4xˆ3 -24xˆ2 + 45x -25. a) Factor f(x), given that 1 is a zero. b) Solce f(x) = 0. ...

A: Since x=1 is a zero so (x-1) is a factor.Use synthetic division to find the other factor.Other facto...

Q: How do I solve these equations? And how do I determine what type of solutions they are?

A: Solve the given equations. To solve the given equation , factor the left hand side. Product is +9 an...

Q: A polymonial f(x) and one or more of its zero are given. f(x) = xˆ4 - 10xˆ3 + 24xˆ2 + 50x -145. 5 + ...

A: Consider the given polynomial

Q: Find a formula for the general term an of the sequence, assuming that the pattern of the first few t...

A: The given sequence is,

Q: A plane can fly 200 mph in calm air. Flying with the wind, the plane can fly 633 mi in the same amou...

A: Given plane speed P=200 mphlate wind speed = W mph

Q: perform the indicated operation and simplify: [(-5b2c2)]3  ____________ -10b2c3

A: Recall the following facts.

Q: Perform the indicated operation (2x3+11x2-5x+6)÷(x+6)

A: Given,

Q: Solve the quadratic equation by completing the square X2-6x-8=0

A: Given,

Q: Express the following function in vertex form. y=x2+10x+22

A: Given:

Q: You get a new credit card and make an initial charge, but then charge nothing else. The table below ...

A: a. According to the given data B (0) = 502.00 which satisfies only by the B = 502.00 ✕0.94nThus, the...

Q: please solve and show your work

A: The whole number of the number

Q: Solve using Gauss-Jordan elimination. 4x, -7x2-5x3 59 X1-3x2 = 21 Write the system of equations as a...

A: The system of equations

Q: The following table gives the percentage of high school students that smoke for select years. 4. t3:...

A: The scatter plot for the given data is

Q: please solve and show your work

A: Split the middle term such that the product of coefficient of x should equals the constant term.

Q: If a stretch of mountain road covers a horizontal distance of 0.5 mile and has a vertical drop of 20...

A: Find the percentage of the grade of the road and the length of the road as follows. 

Q: Find the slope of the line that goes through the points (12,-14) and (14,-1).Slope, m =    Enter you...

A: Given that a line goes through the points (12, -14) and (14, -1).

Q: Consider the following data. x 2 2.2 2.4 2.6 f 9.0 8.4 7.8 7.2 (a) Test the data to see wh...

A: let the linear function f(x)=ax+b

Q: what are the blanks

A: Monthly decay factor = 0.85 There are 4 weeks each month.Let weekly decay factor = k Then k^4= 0.85k...

Q: Please help with the following problem: Write an equation for the line described. Give the answer in...

A: The slope-intercept form of a line equation is y = mx + b, where m is the slope of the line, and b i...

Q: 78.

A: Given the functions are

Q: Use the given information to find the unknown value. y varies directly as the cube root of x. When x...

A: y varies directly as the cube root of x.So, y=k*cuberoot(x)When x = 64, then y = 20.k=5

Q: 14.7e-0.21x 4) The formula P the average atmospheric pressure, P, in gives pounds per square inch, a...

A: Given that

Q: Describe the end behavior of the graph of the polynomial function. f(x)=4x6-3x4+x2-5

A: As per the definition, the end behavior of the graph is the value of f(x) attained by the function a...

Q: eck Qu -5 1 Identify the row operation. The matrices below are the result of performing a single row...

A: The first row was changed so it has to go to R1. So, we can eliminate option A,B,C

Q: what is the greatest common factor of 6n to the second power and 5n

A: Given that need to determine greatest common factor of 6n to second power and 5n, that is 6n2 and 5n...

Q: Let p(t)=10(0.001)^t and   q(t)=log⁢  t^3. Solve the equation q(p(t))=0 for t.

A: The given functions are,

Q: A supply company manufactures copy machines. The unit cost C the cost in dollars to make each copy m...

A: Given:

Q: Use synthetic division to find the quotient and the remainder.  (4w4-11w3+10w+7) / (w-2)

A: Given:

Q: Solve the following system of equations: y x25 45 y 4 3

A: Combine the given equation as follows.

Q: If a 56-gram serving of pasta contains 7 g of protein, how many grams of protein are in a 454 gram b...

A: Given:If a 56-gram serving of pasta contains 7 g of protein, how many grams of protein are in a 454-...

Q: How do I solve this?

A: Sketch the graph of g(x)= -3(x-1)2+4, use the transformations of the graph and graphing the function...

Q: Write each fraction in terms of the LCM of the denominators.   2x − 5 5x(x − 2) , 9x ...

A: Given the fractions,