If f(x) = x^3 – 10x^2 + 29x – 30 and f(6) = 0, then find all
of the zeros of f(x) algebraically.
Answers
(((x3) - (2•5x2)) + 29x) - 30 = 0
Step 2 2.1 x3-10x2+29x-30 is not a perfect cube
Step 3 Factoring: x3-10x2+29x-30
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 29x-30
Group 2: -10x2+x3
Pull out from each group separately :
Group 1: (29x-30) • (1)
Group 2: (x-10) • (x2)
Related Questions
I need explanation + answer.
Do not write the answer without explanation, please.
thanks in advance!
Answers
Answer:
C. 22,400.
Step-by-step explanation:
62.9% = 0.629 as a decimal fraction.
Total number of employees in small businesses in the county
= 270 * 132.
So the estimated number with less than $1000 savings
= 270 * 132 * 0.629
= 22,417.
What is the least positive integer divisible by each of 1, 3, 5, and 7?
Answers
Answer:
105
Step-by-step explanation:
You need the least common multiple of the 4 numbers. Since 3, 5, and 7 are prime numbers, the answer is their product.
LCM = 3 * 5 * 7 = 105
The least positive integer that is divisible by each of 1, 3, 5, and 7 is 105.
In order to solve the question, we simply have to find the lowest common multiple that is applicable to all the numbers that are given on the question.
In this case, the lowest common multiple can be gotten by multiplying the numbers be high will be:
= 1 × 3 × 5 × 7 = 105
Therefore, the number is 105.
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There are 50 students in a class. If 14% are absent on a particular day, find the number of students present in the class. What percent were not absent?
Answers
Answer:
i THINK 43% but im not for sure
Step-by-step explanation:
14% of 50 is 7
so 50-7=43
43(percent there)+7(percent gone)=50 (number of students)
SO 43% is still there.
SORRY IF IM WRONG have a good night :)
Which of the following statements can be used to show that today's high temperature, 12°F, is warmer than yesterday's high temperature, which was -15°F?
-15°F = 12°F
-15°F ≥ 12°F
-15°F 72°F
Answers
Answer:
-15°F < 12°F
Step-by-step explanation:
Hope it helps you in your learning process.
2+2+4 because 1+1+1+1=4 easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answers
help meh please i need hell
Answers
Answer:
1 3/8
Step-by-step explanation:
What is the value of x^2 - 3y + 5x + 2 whenx = 7 and y = 4?
Answers
Answer:
74
Step-by-step explanation:
[tex]x^2 - 3y + 5x + 2 \\ \\ = {7}^{2} - 3(4) + 5(7) + 2 \\ \\ = 49 - 12 + 35 + 2 \\ \\ = 74[/tex]
Calculator Item 2 is unpinned. Click to pin. Mrs. Pitts wrote the volume formula as "V=1/3 Bh. What does "B" represent? A: The radius of the base B: The circumference of the base C: The diameter of the base. D: The area of the base.
Answers
Answer:
D: The area of the base.
Step-by-step explanation:
The volume of a triangular based pyramid is represented by the formula given that the question as:
V = 1/3BH
where B = Base area of the triangular based pyramid
H = Height of the triangular based pyramid.
Hence, option D is correct
B = The area of the base.
A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60
Answers
43 - 8.6 = 34.40
Solution: $34.40
Answer:
34.40
Step-by-step explanation:
43×0.2 = 8.60
43-8.60= 34.40
if lines intersect, does that make it, one solution, no solution, or infinite solution?
Answers
Answer:
one solution
Step-by-step explanation:
No solution is when they don't intersect at all. Infinite solutions is if the two lines are on top of each other.
Answer:
one solution
Step-by-step explanation:
if they intersect, they become one solution, if they don't intersect, than there are no solutions. If the graphs of the equations are the same, there are infinite solutions.
A car is traveling 60 miles per hour. How long will it take to travel 240 miles?
Answers
Answer:
4 hours
Step-by-step explanation:
240 / 60 = 4
Evaluate the expression x=4 , y=-2 , z=-3
Answers
Answer:
36
Step-by-step explanation:
I don’t know if this half the problem or something because you only need to know what a equals but...
1. Substitute x for 4 since x=4... so the equation would then be (4)^2+10(4)-20
2. You simplify so 4 squared is 16 because when you square something you times it by it self so 4^2 is simply 16 because 4*4=16 then 10*4 is 40 so then you get 16+40-20
3. So you can simplify that again to 56-20 and then to 36
Sorry I’m really bad at explaining but I hope this helps
Help asap it’s math and I’m not sure about this one
Answers
Answer:
1/2
Step-by-step explanation:
Is 0.25 rounded to 0.3
Answers
Answer: Yes, round it to the nearest tenth
Niles and Bob sailed at the same time for the same length of time. Niles' sailboat traveled 27 miles at a speed of 9 mph, while Bob's
motorboat traveled 36 miles at a speed of 12 mph. For how long were Niles and Bob traveling?
OA
2 hours
ОВ.
6 hours
OC.
5 hours
OD. 3 hour please help me with this
Answers
Answer:
D- 3 hours long they were traveling
Step-by-step explanation:
27÷ 9= 3
36÷ 12= 3
Calculate the area of the shaded region
Answers
Area of the rectangle = (18 m) (12 m) = 216 m²
Area of the triangle cutout = 1/2 (7 m) (9 m) = 63/2 m²
Area of the shaded region = 216 m² - 63/2 m² = 369/2 m² = 184.5 m²
question: How many unites down would triangle RST need to be translated in order for the coordinates of R to be (-3, 0)
Answers
The sum of two numbers is 125. Their difference is 47. The two numbers are:
39 and 86.
40 and 85.
47 and 78.
None of these choices are correct.
Answers
Answer:
39 and 86.
Step-by-step explanation:
39 and 86 equal 125 when added. When 47 is subtracted from 86 you get 39.
Find the area of the irregular figure.
2 in.
3 in.
5 in.
A = [ ? ]in.2
3 in.
2 in.
4 in.
4 in.
Answers
Answer:
area = 35 in²
Step-by-step explanation:
PLS ANSWER FAST!!!
a rate is a ratio that compares
A) a part to a part
B) a part to a whole
C) quantites with different units
D) quantities with the same units
Answers
Answer:
c
Step-by-step explanation:
A rate is a ratio that compares quantites with different units.
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A rate is a comparison of two quantities that have different units, such as miles per hour, dollars per gallon, or meters per second.
A rate can be expressed as a fraction or a ratio, with the numerator representing the quantity being measured and the denominator representing the unit of measurement.
Hence, a rate is a ratio that compares quantites with different units.
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The difference of two numbers is 308. The smaller of the numbers is 730. What is
the other number?
Answers
Answer:
1038
Step-by-step explanation:
730+308= the big number
Answer:
1038
Step-by-step explanation:
Plz someone help I beggggg
Answers
Answer:
25100 i believe would be the answer
Step-by-step explanation:
Which one is correct? Please hurry :)
Answers
Answer:
A
Step-by-step explanation:
Solve the following equation for I. A = 2nr + nrl. Explain each step please
Answers
Find the values of X and Y
Answers
Answer:
x=90, angle bisector theorem
y=43,
90+47+y=180
=137+y=180
y=43
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
Answers
Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
ana can swim at a rate of 3/8 mile in 1/3 hour.
Answers
equations with variables on both sides: decimals and fractions, algebra 2 0.5s + 1 = 7 + 4.5s
Answers
Final Answer: [tex]s = -\frac{3}{2}[/tex]
Steps/Reasons/Explanation:
Question: Equations with variables on both sides: decimals and fractions, algebra 2. [tex]0.5s + 1 = 7 + 4.5s[/tex].
Step 1: Subtract [tex]0.5[/tex] from both sides.
[tex]1 = 7 + 4.5s - 0.5s[/tex]
Step 2: Simplify [tex]7 + 4.5s - 0.5s[/tex] to [tex]7 + 4s[/tex].
[tex]1 = 7 + 4s[/tex]
Step 3: Subtract [tex]7[/tex] from both sides.
[tex]1 - 7 = 4s[/tex]
Step 4: Simplify [tex]1 - 7[/tex] to [tex]-6[/tex].
[tex]-6 = 4s[/tex]
Step 5: Divide both sides by [tex]4[/tex].
[tex]-\frac{6}{4} = s[/tex]
Step 6: Simplify [tex]\frac{6}{4}[/tex] to [tex]\frac{3}{2}[/tex].
[tex]-\frac{3}{2} = s[/tex]
Step 7: Switch sides.
[tex]s = -\frac{3}{2}[/tex]
~I hope I helped you :)~
brooke plays on her schools softball team. Last season she was at bat 500 times and made a safe hit 28% of the time. How is 28% expressed as a fraction
PLEASE HELP please?
Answers
Answer:
28/100
Step-by-step explanation:
Which of the scatterplots have no correlation? Check all that apply.
On a graph, points curve up and down.
On a graph, points are grouped together to form a horizontal cluster.
On a graph, points are grouped together to form a vertical cluster.
On a graph, points are grouped together and decrease.
On a graph, points are scattered over the graph.
Answers
Answer:
2, 3, and 5
Step-by-step explanation:
got it right on test.
The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.
According to the given option,
The second has no slope, therefore there is no correlation.
The third has a zero average slope with no upward or descending trend; no correlation.
The fifth has a general increasing tendency and will have a non-zero correlation.
Thus, the scatterplots (B), (C), and (E) have no correlation.
Hence, the correct answer would be options (B), (C), and (E),
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