Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
Step(i):-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
↓ 0 -1 1 6
1 -1 -6 0
The polynomial x² - x - 6
Step(ii):-
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
Final answer:-
The factors of given polynomial x =-1 , -2 and x =3
Which graph represents a linear function?
Answer:
Graph two would be the answer because it is not curving.
Step-by-step explanation:
Out of 498 applicants for a job, 187 have over 10 years of experience and 127 have over 10 years of experience and have a graduate degree. Step 1 of 2 : What is the probability that a randomly chosen applicant has a graduate degree, given that they have over 10 years of experience
Answer:
the probability that randomly selected applicants over 10 years of experience is 0.6791
Step-by-step explanation:
The computation of the probability that randomly selected applicants over 10 years of experience is as follows:
Total would be
= 187 have 10 + years experience
Now
P(graduate | 10+) = (graduate and 10+ years experience) ÷ (10 + years of experience)
= 127 ÷ 187
= 0.6791
Hence, the probability that randomly selected applicants over 10 years of experience is 0.6791
What is the end behavior of the graph of f(x) = -0.25x2 – 2x + 1?
End behavior means what are the y-values doing as the x-values both increase and decrease without bound.
This is a parabola (degree 2) with a negative leading coefficient (−0.25). Therefore both ends of the graph will be going towards negative infinity.
As x increases, f(x) decreases.
As x decreases, f(x) decreases.
Since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that,
f(x) = -0.25x² – 2x + 1
A polynomial function's end behavior defines how the graph acts as x gets closer. The leading term of the function—that is, the term with the highest n-value for a × n, where n is a positive integer and an is any nonzero number—allows us to infer the function's final behavior.
The highest degree of the given function is 2. When the function is plotted on the graph we get the graph shows downward behavior when x gets closer.
Thus, since the highest degree of the given function, f(x) = -0.25x² – 2x + 1 the end behavior of the graph will be down.
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The decorating committee for a
school banque decides to put flower
arrangements on cach table. Each
arrangement will have 3 white
carnations and 5 yellow carnations.
The committee will need 60 white
carnations. What is the total numbe
of white and yellow carnations the
committee will need?
The circle graph shows the preferences of town residents for the new playground equipment in a park
If 240 residents responded to the survey, how many residents preferred each type of playground equipment
Swings:
residents
Sandbox: residents
Obstacle course: residents
Answer:
swings: 120 (50%)
obstacle course: 80 (1/3)
sandbox: 40
Step-by-step explanation:
we know by looking, that swings makes up 50%, so we divide 240 by 2 to get 120
the obstacle course makes up one-third, 1/3 of 240 is 80
add 120+80 to get 200
to find the sandbox amount, do 240 minus 200 and we get 40
The circle graph is used to show how variables measure against one another using a circle of different sectors.
There are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
The number of residents is given as:
[tex]n = 240[/tex]
From the given circle graph, we have the following proportions
[tex]Sandbox = 1/6n[/tex]
[tex]Obstacle = 1/3n[/tex]
[tex]Swings= 1/2n[/tex]
So, the number of residents in each equipment is:
[tex]Sandbox = \frac 16 \times 240[/tex]
[tex]Sandbox = 40[/tex]
[tex]Obstacle = \frac 13 \times 240[/tex]
[tex]Obstacle = 80[/tex]
[tex]Swings =\frac 12 \times 240[/tex]
[tex]Swings =120[/tex]
Hence, there are 40 residents in sandbox, 80 in obstacle course, and 120 in the swings
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find the sum or difference of 2/3 + 5/6
Answer:
The sum would be
[tex]\frac{3}{2} [/tex]
The difference would be
[tex] \frac{2}{3} - \frac{5}{6} = - \frac{1}{6} \\ \\ or \\ \\ \frac{5}{6} - \frac{2}{3} = \frac{1}{6} [/tex]
what’s the answer? i need it asap please
Answer:
D
Step-by-step explanation:
Subtract 30 and 16. Cross out 0 and make it a 10 and 10-6= 4 then take 1 from 3 and make it a 2 and 2-1=1. It will all equal up to 14!
Answer:
8x+30+4x+18=180
12x+48=180
180-48=12x
132=12x
x=132/12
x=11
Which linear equation is represented by the table?
x −2 1 3 6
y 7 4 2 −1
Answer:
help calll me daddy
Step-by-step explanation:
There are 8 bones in a large snake for 3 bones in a small snake. The small snake has 150 bones. How many bones does the large snake have?
Answer:
400!
Step-by-step explanation:
150/3= 50
50*8=400
Answer:
XD lol
Step-by-step explanation:
The two dot plots compare ages of girls and boys in a pottery class.
Which group has a greater median?
Answer:
you didn't post a picture :/
find the measure of
Answer:
105°
Step-by-step explanation:
Answer:
X=105 degrees
Step-by-step explanation:
180-50-80=50degrees
angle to the bottom left of X is 50degrees
180-90-65=25degrees
angle to the bottom right of X is 25 degrees
180-25-50=105 degrees
X=105degrees
find the rate of travel for a fishing boat with a speed of 10 miles per hour moving Downstream with a current of 5 miles per hour
Answer:
36 miles (b+C) (3)of rate
A computer company can inspect 12 laptops in 8 hours. what's the ratio
Answer:
4:1
Step-by-step explanation:
hope this helps
Answer:
The ratio is 1 hour to 1.5 laptops
Step-by-step explanation:
If you divide the time by amount done, there you have the answer.
Given:
g(x) = 5 – 6x
Find:
g(5)
y’all what is this evaluated ?
Answer:
sorry siso don't know the answer sorry ☹☹
Answer:
B = 200
Step-by-step explanation:
Cross multiply
10(20) = 200
6/n = 9/24 n=?
I need help, please show steps.....
Answer:
n=16
Step-by-step explanation:
6n=9246n=924 nn
Write the problem as a mathematical expression.
6n=9246n=924 nn
Cancel the common factor of 99 and 2424.
Factor 33 out of 99.
6n=3(3)246n=3(3)24
Cancel the common
Factor 33 out of 2424.
6n=3⋅33⋅86n=3⋅33⋅8
Cancel the common factor.
6n=3⋅33⋅86n=3⋅33⋅8
Rewrite the expression.
6n=386n=38
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
6⋅8=n⋅36⋅8=n⋅3
Solve the equation for nn.
Rewrite the equation as n⋅3=6⋅8n⋅3=6⋅8.
n⋅3=6⋅8n⋅3=6⋅8
Multiply 66 by 88.
n⋅3=48n⋅3=48
Divide each term by 33 and simplify.
Divide each term in n⋅3=48n⋅3=48 by 33.
n⋅33=483n⋅33=483
Cancel the common factor of 33.
Cancel the common factor.
n⋅33=48
Translate this phrase into an algebraic expression.
Seven more than the product of 22 and Vanessa's savings
Use the variable v to represent Vanessa's savings.
Answer:
22
Step-by-step explanation:
The algebraic expression is 22v + 7.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Vanessa's savings = v
The expression that represents the phrase.
"Seven more than the product of 22 and Vanessa's savings."
= 22v + 7
Thus,
The algebraic expression is 22v + 7.
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The scatter graph shows the scores of 16 students on the biology and physics tests
Step-by-step explanation:
85 l don't see questions properly so l knew this much only l don't know exact answer so l write this answer
Use slopes to determine whether the lines AB and CD are parallel, perpendicular, or neither. SHOW WORK
A(-10, 8) and B (-9,4).
C (-5, 12) and D (2,9).
Answer:
Neither
Step-by-step explanation:
Slope for AB is -4
Slope for CD is -3/7
in order to find the slope use this formula attached
AB -9-(-10) / 4-8 = -4 your y2 is 4 your y1 is 8 / x2 is -9 x1 is -10
CD 9-12 / 2-(-5) your y2 is 9 your y1 is 12 / x2 is 2 x1 is -5
Answer: The lines will be neither
Line A is Purple dot
Line B is Blue dot
Line C is Red dot
Line D is Green dot
anyone know the answer to this? :))))
Hello!
[tex]\large\boxed{x = 17}[/tex]
[tex]\sqrt{x -1} + 5 = 9[/tex]
Begin by subtracting 5 from both sides:
[tex]\sqrt{x -1} = 9 - 5\\\\\sqrt{x -1} = 4[/tex]
Square both sides to get rid of the radical:
[tex]x - 1 = 16[/tex]
Add 1 to both sides to completely isolate for x:
[tex]x = 17[/tex]
Valeria is playing with her accordion. The length of the accordion A(t)A(t)A, left parenthesis, t, right parenthesis (in \text{cm}cmstart text, c, m, end text) after she starts playing as a function of time ttt (in seconds) can be modeled by a sinusoidal expression of the form a\cdot\cos(b\cdot t)+da⋅cos(b⋅t)+da, dot, cosine, left parenthesis, b, dot, t, right parenthesis, plus, d. At t=0t=0t, equals, 0, when she starts playing, the accordion is 15\text{ cm}15 cm15, start text, space, c, m, end text long, which is the shortest it gets. 1.51.51, point, 5 seconds later the accordion is at its average length of 21\text{ cm}21 cm21, start text, space, c, m, end text. Find A(t)A(t)A, left parenthesis, t, right parenthesis. \textit{t}tstart text, t, end text should be in radians.
Answer:
−6cos( π/3 t)+21
Step-by-step explanation:
The length of the accordion is −6cos( π/3 t)+21.
How to derive a sinusoidal expression?We must figure out the periodic phenomenon's amplitude, period, and vertical shift in order to create a sinusoidal function that models it. Additionally, we must choose between using a sine or a cosine function and calculate the ensuing phase shift.
Given
A = 5+1 = 6
Shift = 21
ω =- π/3[because of 4th quadrant]
exp = Asin[-ωt] + shift
=-Acosωt + shift = -6cosπ/3 t + 21
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What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
9 square root 3 divided by 3 square root 3
Answer:
[tex] \frac{9 \sqrt{3} }{3 \sqrt{3} } = \frac{9}{3} = 3 \\ [/tex]
3 is the right answer.
Add parentheses to the expression so that its value is 45:
5 × 4 + 8 - 3
no parentheses are needed
5 × (4 + 8 - 3)
5 × (4 + 8) - 3
5 × 4 + (8 - 3)
Answer:
first one
Step-by-step explanation:
hi savina if u not give reply so I leave brainly
Answer:hope she/he replies
Step-by-step explanation:
if there are 45 seats in 9 rows how many seats are in 1 row.
Answer: Their is 5 seats in 1 row.
Step-by-step explanation: 9x5=45 and 45÷9=5
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
What is 4 8/9 plus 3 2/11
Answer:
8 7/99, Decimal. (8.07 repeated)
Step-by-step explanation:
When you add 98 to a number you usually...
Aneser:
+98
Step-by-step explanation:
when you are adding something to something to something else u put a plus sign to add it hope this helps
Lena purchased a prepaid phone card for $20. Long distance calls cost 14 cents a minute using this card.
Lena used her card only once to make a long distance call. If the remaining credit on her card is S18.04, how
many minutes did her call last?
|minutes
?
Answer:
havenche ai polld pener es quanto
Step-by-step explanation: