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factor the polynomial 8x^3-6x^2-12x+9
General
2 months ago
It took Jenny and her family 1 hour to drive to her grandmothers house . Her grandmother lives bout 45 miles away . At what rate did the family travel ?
General
2 months ago
What is the sum of the first 21 terms of this arithmetic series?-5+(-3)+(-1)+1+...
General
2 months ago
Given the general form of a polynomial function:[tex]P(x) = a_{n} x^{n} + a_{n-1} x^{n-1} + a_{n-2} x^{n-2} + . . . + a_{1} x^{1} + a_{0}[/tex]The leading coefficient is ______.The degree of the polynomial is ______.The constant term of the polynomial is ______.
General
2 months ago
Can someone explain to me how to do this math question? :)
General
2 months ago
2s – 3s = 20 –20 –4 4 –1
General
2 months ago
find reference angle for 4pi/5
General
2 months ago
Jenny has 87 marbles and her brother has only 31. How many marbles should Jenny give to her brother so that they have the same number of marbles? What would that number be?
General
2 months ago
The position function of a particle in rectilinear motion is given by s(t) = t3 – 12t2 + 45t + 4 for t ≥ 0 with t measured in seconds and s(t) measured in feet. Find the position and acceleration of the particle at the instant when the particle reverses direction. Include units in your answer.
General
2 months ago
Solve the equation. 3(x + 6) = 39 7 13 19 –5
General
2 months ago
In each of the following pairs, determine the temperature change, and whether the temperature increased or decreased. a. 45° F to –10° F b. 35° C to 80° F c. –19° C to 49° C d. 137° C to 0° C e. 5° C to 19° F f. 68° F to 29° C
General
2 months ago
The number of diners at a restaurant each day is recorded and a daily average is calculated every month (assume 30 days in a month). The number of diners each day has a mean of 109 and a standard deviation of 53, but does not necessarily follow a normal distribution. The probability that a daily average over a given month is greater than x is 2.5%. Calculate x. Give your answer to 3 decimal places.
General
2 months ago
△ABC is an isosceles triangle with legs AB and AC. △AYX is also an isosceles triangle with legs AY and AX. The proof that △ABC ~ △AYX is shown. Statements Reasons 1. △ABC is isosceles with legs AB and AC; △AYX is also isosceles with legs AY and AX. 1. given 2. AB ≅ AC and AY ≅ AX 2. definition of isosceles triangle 3. AB = AC and AY = AX 3. definition of congruency 4. AY • AC = AX • AC 4. multiplication property of equality 5. AY • AC = AX • AB 5. substitution property of equality 6. 6. division property of equality 7. 7. division property of equality 8. ? 8. ? 9. △ABC ~ △AYX 9. SAS similarity theorem Which statement and reason are missing in the proof?
General
2 months ago
20 PTS!! PLEASE HELPDenise has conducted an observational study to learn about different influences that affect which colleges students choose to attend. Denise surveyed 400 students at her new college and found that 80% of the students chose their college based on a friend who also attends that college.What conclusion can Denise make from her study?A. There may be a link between knowing current students and choosing a college, and she can draw a cause-and-effect conclusion from an observational study.B. There may be a link between knowing current students and choosing a college, but she cannot draw a cause-and-effect conclusion from an observational study.C. Knowing a current student enrolled at a college causes incoming students to choose that college, but she cannot draw a cause-and-effect conclusion from an observational study.D. Knowing a current student enrolled at a college causes incoming students to choose that college, and she can draw a cause-and-effect conclusion from an observational study.
General
2 months ago
In a study investigating a link between walking and improved health, researchers reported that adults walked an average of 873 minutes in the past month for the purpose of health or recreation. Specify the null and alternative hypotheses for testing whether the true average number of minutes in the past month that adults walked for the purpose of health or recreation is lower than 873 minutes.
General
2 months ago
Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 7x6, y = 7x, x ≥ 0; about the x-axis
General
2 months ago
Use the definition to find an expression for the area under the curve y = x3 from 0 to 1 as a limit. lim n→∞ n i = 1 R (b) The following formula for the sum of the cubes of the first n integers is proved in Appendix E. Use it to evaluate the limit in part (a). 13 + 23 + 33 + + n3 = n(n + 1) 2 2
General
2 months ago
Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 131 millimeters, and a standard deviation of 7 millimeters. If a random sample of 31 steel bolts is selected, what is the probability that the sample mean would differ from the population mean by more than 1.9 millimeters? Round your answer to four decimal places.
General
2 months ago
Given the system of equations presented here:4x + y = 42x + 6y = 24Which action creates an equivalent system that will eliminate one variable when they are combined?A.Multiply the first equation by -4 to get -16x - 4y = -16.B.Multiply the second equation by -4 to get - 8x - 24y = -96.C.Multiply the first equation by -2 to get -8x - 2y = -8.D.Multiply the second equation by -2 to get - 4x - 12y = -48.
General
2 months ago
Joaquin is constructing the perpendicular bisector of AB. He opens hiscompass so that the distance from the two points of the compass is widerthan half the length of AB. He then places the point of the compass on pointA and draws an arc across AB. What is his next step?to
General
2 months ago
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