Answers
Answer:
solve each equation :
12) B) {0}
13)(B) {-3}
14) (C) {4}
Related Questions
Question 2 of 20
Which of the following are roots of the polynomial function below?
Check all that apply.
F(x) = x3 - 3x2 + 2
O A. 2+ v12
B.
2-12
3 + 17
D. 1
E. 3-17
SUBMIT
Answers
The rational root of the function f(x) = x³ - 3x² + 2 is - 1.
What is a polynomial?A polynomial is an algebraic expression.
A polynomial of degree n in variable x can be written as,
a₀xⁿ + a₁xⁿ⁻¹ + a₂xⁿ⁻² +...+ aₙ.
Given, A polynomial function of degree three f(x) = x³ - 3x² + 2.
Now, The roots of the function is when f(a) = 0.
The last term is, 2, Hence the roots must be,
± 1, ± 2, The factors of 2.
f(-1) = - 2.
f(1) = 0.
f(-2) = - 18.
f(2) = - 2.
So, The only rational root is x = - 1 and the other roots are irrational and can be obtained by the obtained quadratic equation after factoring or by long division.
learn more about polynomials here :
https://brainly.com/question/11536910
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What is 5 / 7 ÷ ½ ?
step by step pls
Answers
Answer:
1 3/7
Step-by-step explanation:
5 / 7 ÷ ½
Copy dot flip
5/7 * 2/1
10 /7
Changing from an improper fraction
7/7 + 3/7
1 3/7
5/7•2
Multiply 5/7•2
Combine 5/7 and 2
5•2/7
Multiply 5 by 2
10/7
Exact form: 10/7
Decimal form: 1.428571
Mixed form: 1 3/7
6.b.Find the equation of the circle lies on 2x-3y+1=0 and the circle passing through the points (-1,2) and (2,3).
Answers
Answer:
(x + 1)² + (y - 7)² = 25Step-by-step explanation:
Perpendicular bisector of the chord connecting the the points (-1,2) and (2,3) is also passing through the center of the circle.
We'll find the equation of the line and solve the system to find the center.
Midpoint of the chord:
((-1 + 2)/2, (2 + 3)/2) = (0.5, 2.5)Equation of the line through chord (-1,2) and (2,3):
m = (3 - 2)/(2 + 1) = 1/3y - 2 = 1/3(x + 1)y = 1/3x + 7/3Perpendicular bisector is:
y - 2.5 = -3(x - 0.5)y = -3x + 4 >> (1)And the given line is:
2x - 3y + 1 = 0y = 2/3x + 1/3 >> (2)Solve the system:
-3x + 4 = 2/3x + 1/3-9x + 12 = 2x + 111x = -11x = -1Find y:
y = -3(-1) + 4 = 3 + 4 = 7The center is (-1, 7)
Find the radius, the distance from center to one of points on circle
(-1, 7) and (-1, 2) 7 - 2 = 5The equation of circle is:
(x + 1)² + (y - 7)² = 5²(x + 1)² + (y - 7)² = 25
Hope This Helps!!!
Hope This Helps!!!Have A GREAT DAY!!!
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
What is the cost when the tow plans cost the same?
Answers
Answer:
Step-by-step explanation:
A phone company offers two monthly plans. Plan A costs $10 plus an additional $0.15 for each minute of calls. Plan B costs $19 plus and additional $0.10 for each minute of calls.
For what amount of calling do the two plants cost the same?
help? (i mark brainlist if available)
Answers
Answer:
X < 120
Step-by-step explanation:
.....................
Answer:
option D
Step-by-step explanation:
X should be less than or equal to $120.00
Shelly receives a salary of $450 plus 20% commission on everything she sells. She sold $ 600 worth of office supplies. What was her total pay check
Answers
Answer:
$1140 or $540
Step-by-step explanation:
450*1.2=540
540+600=1140
1.
What is the range of this data set?
07, 43, 9, 35, 38, 13, 24, 41
36
35
24
26
Answers
43-7= 36
Range is highest number minus smallest number
At noon the temperature was 35° Celsius. By late afternoon it was rising 8° Celsius. What is the temperature late in the afternoon
Answers
your welcome<3
Thare are 2 yellow 3 pink and 5 blue. What is the possibility of drawing two pink marbles of the first one is NOT placed back in to the bag before the second draw
Answers
Answer:
Hint
Step-by-step explanation:
input 3,4,5,6,7 output 14,20,26,32,38
Answers
Answer:
f(x) = 6x - 4.
Step-by-step explanation:
I guess you want the function which produces the outputs from the given inputs
The common difference in the outputs is 6.
The function is 6x - 4 where x is the input value.
A shopkeeper sold 8 toys on the first day. The number tripled every
subsequent day. Find the total number of toys sold in six days.
Answers
Answer:
2912
Step-by-step explanation:
the answer is 2912 toys.....
Chromium 51 is a radioactive substance used in medicine. It has a 1/2 life of 28 days. The equation for its exponential decay model is `y=a(.5)^t/28 If 10 mg is ingested by a patient, how many days before only 8 mg is still emitting radiation?
Answers
Answer:
9 days before only 8 mg is still emitting radiation.
Step-by-step explanation:
The exponential model is:
[tex]y(t) = a(0.5)^{\frac{t}{28}}[/tex]
In which a is y(0), that is, the initial quantity.
10 mg is ingested by a patient
This means that [tex]a = 10[/tex], and thus:
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
How many days before only 8 mg is still emitting radiation?
This is t for which y(t) = 8. So
[tex]y(t) = 10(0.5)^{\frac{t}{28}}[/tex]
[tex]8 = 10(0.5)^{\frac{t}{28}}[/tex]
[tex](0.5)^{\frac{t}{28}} = \frac{8}{10}[/tex]
[tex](0.5)^{\frac{t}{28}} = 0.8[/tex]
[tex]\log{(0.5)^{\frac{t}{28}}} = \log{0.8}[/tex]
[tex](\frac{t}{28})\log{0.5} = \log{0.8}[/tex]
[tex]\frac{t}{28} = \frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 28\frac{\log{0.8}}{\log{0.5}}[/tex]
[tex]t = 9[/tex]
9 days before only 8 mg is still emitting radiation.
help me on this. I’d appreciate it
Answers
Answer:
36
Step-by-step explanation:
therefore the answer is thirty six! <3
Helppp meeeeeeeeeeee
Answers
On Monday the temperature was -5°F. How many degrees below zero was the temperature
Answers
8
[tex] \frac{50}{100} [/tex]
Answers
[tex]\sf\purple{0.5}[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{50}{100} \\ = \frac{1}{2} \\ = 0.5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
HELP HELP HELP HELP PLS
Answers
Answer:
D. 14 Please mark as brainliest!
Answer:
14
Step-by-step explanation:
What is the outlier for the data set?
19, 19, 27, 21, 77, 18, 23, 29
Answers
Answer: 77
Step-by-step explanation:
Find the sum of the geometric series if n = 5, r = 2, a = 3.
Answers
Answer:
hope it helps you see the attachment for further information
sorry but my phone couldn't captured r=2
I need the answer fast pls
Answers
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
Answer:
58
Step-by-step explanation:
The median in a box plot is the line in the middle of the box
The median is 58
If f(x)=2x+17, then f(12)=
Answers
Answer:
41
Step-by-step explanation:
Simply substitute 12 to the x:
f(12)=2(12)+17
f(12)=24+17
f(12)=41
ORDENAR DE MAYOR A MENOR
a) -1, 3, 0, 2, -4 : b) 1, -10, 7, -9, -2 : c) 6, -3, 2, -1, -12 : d) 0, 8, -4, 2, -2
porfa
Answers
Answer:
a) 3, 2, 0, -1
b) 7, 1, -9, -10
c) 6, 2, -1, -3, -12
d) 8, 2, 0, -2, -4
Express the confidence interval (63.3%, 79.1%) in the form of ˆp ± ME.
___% ± ___%
Answers
Answer:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
Step-by-step explanation:
Given
[tex](63.3\%,79.1\%)[/tex]
Required
Express in form of: [tex]p \± ME[/tex]
First, calculate the midpiont (p)
[tex]p = \frac{63.3\% + 79.1\%}{2}[/tex]
[tex]p = \frac{142.4\%}{2}[/tex]
[tex]p = 71.2\%[/tex]
The margin of error (ME) is:
[tex]ME =79.1\% - 71.2\%[/tex]
[tex]ME =7.9\%[/tex]
So, we have:
[tex]p \± ME[/tex] [tex]\to[/tex] [tex]71.2\% \± 7.9\%[/tex]
If m = 2s and n = (2s - 1) / 3 then what is the value of s form m = n ?
Answers
Answer:
[tex]s = - \frac{1}{4} [/tex]
Step-by-step explanation:
For m to be equal to n,
[tex]2s = \frac{2s- 1}{3} [/tex]
Multiply both sides by 3:
[tex]6s = 2s - 1[/tex]
Minus 2s on both sides:
[tex]4s = - 1[/tex]
Divide by 4 on both sides:
[tex]s = - \frac{1}{4} [/tex]
need help will give brainiest
Answers
Answer:
1. Triangles HIJ and KML
2. Triangles RST and YXZ
3. Reflexive property and Congruent Property
Step-by-step explanation:
Step-by-step explanation:
for 1 and 2 to find which ones are congruent you have to look at the lines on the angles which show congruence
Evaluate arccos (-1/2)
Answers
Answer:
120 degrees
Step-by-step explanation:
plugged into calculator
cos inverse of -1/2
Please mark Brainliest if you feel like it:)
Can somebody help me with this question
Answers
Answer:
[tex]\text{a) }1,080^{\circ}, \\\text{b) }360^{\circ}, \\\text{c) }135^{\circ}, \\\text{d) }45^{\circ}[/tex]
Step-by-step explanation:
a) The sum of the interior angles of a polygon with [tex]n[/tex] sides is equal to [tex](n-2)180[/tex]. Since an octagon has 8 sides, substitute in [tex]n=8[/tex]:
[tex](6-2)180=\boxed{1,080^{\circ}}[/tex]
b) The sum of the exterior angles for any polygon is equal to [tex]360^{\circ}[/tex].
c) By definition, all regular shapes have equal angles and sides. Since we've found the total sum of the interior angles of an octagon in part a, each interior angle of a regular octagon must be [tex]\frac{1080}{8}=\boxed{135^{\circ}}[/tex]
d) Similar to part c, all regular shapes must have equal angles and sides. From part b, we know the sum of the exterior angles of a octagon is [tex]360^{\circ}[/tex], thus we have [tex]\frac{360}{8}=\boxed{45^{\circ}}[/tex]
Please help me answer this
Will give Brainly
Answers
Answer:
9.103
10. 77
11.60
12. 6.4
13. 20
14. 36
Step-by-step explanation:
A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees
180 - (47 + 30) = 103
DEG = 180 - 103 = 77 angles on a straight line equals 180
An equilateral triangle has all 3 sides equal
if the sum of angles in a triangle is 180 degrees, each angle measures 180 / 3 = 60
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
5² + 4² = 41
squareroot of 41 = 6.4
b : √(25² - 15²) = 20
√(60² - 48²) = 36
Circle 0.5 of the stars.
There are 5 stars in this role.
There are 5 stars in this role.
How many do we circle in total?
Answers
Answer:
2.5, 2 and 1 half stars
Step-by-step explanation:
0.5=1/2, so 5/2= 2.5
Answer:
5
Step-by-step explanation:
it is asking for .5 of the stars, which in percentage is 50%. if the total is 10 because 5 stars in each row and there are 2 rows. you add the numbers of stars per row, then divide it by 2, and you would get 5; so you would circle 5 stars.
The probability that the number on the card is a perfect square is
Answers
From 2 to 101 , the perfect square numbers are ,
4 , 9 , 16 , 25 , 36 , 49 , 64 , 81 , 100 .Total number of possible outcomes = 100.
Total number of favourable outcomes = 9 .
Hence ,
→ P ( of getting perfect square ) = 9/100