Answer:
3
Step-by-step explanation:
If x-1 is a factor, then x=1 is a solution. So:
0=1³+1k-4
1k=3
k=3 .........
For the given trinomial that has the factor (x -1), k = 1,
What is Polynomial?A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminate in mathematics. Majorly used polynomials are binomial and trinomial.
Given a trinomial equation:
f(x)=x^3+kx-4
And also given it has a factor (x - 1)
Thus, at x = 1 the value of the f(x) will be 0
So,
f(x) = x^3 + kx - 4
f(1) = 1^3 + k*1 - 4
0 = 1 + k -4
k = 3
therefore, The value of k = 1 for the given Trinomial that has the factor (x -1)
Learn more about Polynomials here:
https://brainly.com/question/11536910
#SPJ2
Determine the unknown angle measures in the figure.
m∠ 1=
m∠ 2=
m∠ 3=
m∠ 4=
m∠ 5=
KEEP IN MIND THE TOTAL AREA OF A TRIANGLE IS 180 DEGREES
KEEP IN MIND A STRAIGHT LINE IS ALSO 180 DEGREES
Answer:
1- 80
2- 112
3- 131
4- 80
5- 37
Step-by-step explanation:
LA DISTANCIA ENTRE LA TIERRA YLA LUNA ES DE 384 392 KM. LOS AUSTRONAUTAS DE LA APOLO XL SALIERON EL 16 DE JULIO DE 1969 DESDE EL CENTRO ESPACIAL KENNEDY Y ALCANZARON LA ORBITA LUNAR EL 16 DE JULIO DE 1969.SUPONIENDO QUE CADA DIA RECORRIERON LA MISMA CANTIDAD DE KILOMETROS.¿CUANTOS KILOMETROS RECORRIERON POR DIA.
Complete question :
la distancia entre la tierra y la luna es de 384 392 km. Los astronautas de la Apolo XL salieron el 16 de julio de 1969 desde el Centro Espacial Kennedy y al alcanzaron la orbita el 19 de julio de 1969. Suponiendo que cada dia recorrieron la misma cantidad de kilometros cuantos kilometros recorrieron por dia
Responder:
128130,66 kilometros
Explicación paso a paso:
Dado que:
Distancia entre la tierra y la luna = 384,392 km
Tiempo empleado = (19 de julio - 16 de julio) mismo año = 3 días
Velocidad = distancia / tiempo
El tiempo empleado es (3 * 24) = 72 horas
Por lo tanto,
velocidad = 384,392 / 72
= 5338,7777 kilómetros por hora
Dado que se supone que la distancia recorrida diariamente es la misma m:
El número de kilómetros recorridos por día:
5338,7777 kilómetros por hora * 24
= 128130,66 kilometros
You have been working hard and saving money to buy your first used car - woo hoo! But you still need more money. (It's an expensive car!) You borrow $10,000 from the bank at a 9% rate for 5 years. How much interest will you pay on this loan? Write your answer as a number with no dollar sign.
Answer:
congrats for the car!
Step-by-step explanation:
Find the coordinates of the image of the point (3, 4) after it has been rotated by
180 degrees
Answer:
(-3,-4)
Step-by-step explanation:
Flip the coordinate across the graph since it is 180 degrees. (x,y) becomes
(-x,-y)
help please I don't know it
Answer:
3
Step-by-step explanation:
it's 3
I'm positive
I just did this
Solve this math problem first you get a free crown!
what is the sum of -7/18 and -3/6
A. -4/9
B. -8/9
C. 4/9
D. 8/9
Answer:
16/18
8/9
Step-by-step explanation:
the answer is B) -8/9
Choose Positive or Negative for each expression.
Answer:
A. negative
B. positive
C. positive
D. negative
hope this helps!
Step-by-step explanation:
Answer:
a. negative
b. positive
c. positive
d. negative
Step-by-step explanation:
a. (-4)(17)(-2)(-1)
-68(-2)(-1)
136 (-1)
-136
b. (-2)(-6)(1)
12(1)
12
c. (-5)(4)(-13)(2)
-20(-13)(2)
260(2)
520
d. [tex](-1)^{3}[/tex] or (-1)(-1)(-1)
1(-1)
-1
1000-322divided by 72% of 21983
Im guessing the equation you saying is (1000-322) / (72% of 21983)
When answering each of them, the equation was simplified to:
678 / 15827.76 = 0.04283613094????
Im guessing this is the wrong equation so just comment the right one and ill change it-
This is pre calculas summation please help lol
Answer: 1 - 2 + 4 - 8 + 16
Step-by-step explanation:
Answer:
-1-2-4-8-16
Step-by-step explanation:
(-2⁰)+(-2¹)+(-2²)+(-2³)+(-2⁴)
-1-2-4-8-16
-31
Olivia can type 45 words every 2.5
minutes. What is the unit rate of words
per minute that Olivia can type?
What would be the rate of words per second?
Answer:
18 per min and 0.3 per second
Step-by-step explanation:
Per minut --> 45/2.5 = 18 words per minut
Per sec --> 2.5 mins*60 secs = 150 sec, then 45/150 = 0.3 words per second
Best regards
Graph y= -1/3 x+5 PLEASE HELP IF YOU ANSWER IT CORRECTLY I WILL GIVE YOU BRAINLIEST
Answer:
Graph is in the picture below
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
drdbbd
There are some pencils and erasers in a
box. If there are 12 pencils and the ratio
of pencils to erasers is 3:2, how many
erasers are in the box?
Answer:
There are 8 erasers in the box
Step-by-step explanation:
given that the Ratio of pencils to erasers is 3:2
No matter how many pencils and erasers are there the ratio will simplify to the given ratio.
Let x be the number of erasers when there are 12 pencils
The ratio of 12 pencils to x erasers will be same 3:2
Putting it mathematically
[tex]\frac{pencils}{erasers} = \frac{pencils}{erasers}\\\frac{12}{x} = \frac{3}{2}\\12 * 2 = 3x\\3x = 24\\\frac{3x}{3} = \frac{24}{3}\\x = 8[/tex]
Hence,
There are 8 erasers in the box
. Line / is shown on the graph below. If
another line is drawn, perpendicular to
line I, what must be its slope?
y
A. -3
B. 3
C. 0
D. undefined
The slope of the perpendicular line is -3, which is option A.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of a line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
The given equation of the line is I: y = (1/3)x.
To find the slope of a line perpendicular to I, we need to take the negative reciprocal of the slope of I.
The slope of I is 1/3, so the slope of a line perpendicular to I is:
-1 / (1/3) = -3
Therefore, the slope of the perpendicular line is -3, which is option A.
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
The complete question:
If another line is drawn, perpendicular to line I = y= 1/3x, what must be its slope?
A. -3
B. 3
C. 0
D. undefined
Andrew has already played 32 minutes on his video game today and wants to play an additional 15 minutes each of x games after school today. What equation can be used to find y, the total minutes Andrew will play video games today?
Answer:
y = 15x+32
Step-by-step explanation:
Given
y to be the total minutes Andrew will play video games today
x is the total number of games played after school
If he wants to play an additional 15 minutes each of x games after school today, the total minutes he will use for the x games will be 15* x = (15x)minutes
We are told that he has initially spent 32minutes on video games. hence;
Total minutes Andrew used on games y = (15*x)+32
The required equation will be y = 15x+32
David buys last year's best-selling novel, in hardcover, for $15.30. This is with a 15% discount from the original price. What was the original price
of the novel?
Answer/Step-by-step explanation:
$15.30 * 0.15 = 2.295 or 2.30
15.30 + 2.295 = 17.595 or 17.60
The original price of the book is $17.60.
chess club with 30 members is electing a new president. Yolanda received 27 votes. What percentage of the club members voted for Yolanda?
Answer:
Step-by-step explanation:
90% of the chess club!
✨Hope it helps✨
✨Brainliest?
HELP! HELP! I never learned to count to ten, so I’ll just count to five and then. 1, 2, 3, 4, 5 outside, and then I’ll go and count/look again!
Answer:
6,7 8, 9,10
Step-by-step explanation:
those are the numbers after 5 in order
Answer:
6,7,8,9,10
six,seven,eight,nine,ten
Step-by-step explanation:
Hope this helps!!
For many of us, the thought of snow brings hopes of snow days, sledding or skiing. For others it means traffic jams and shoveling. Unfortunately for Roger's father, he is in this second category. It usually takes Roger's father 35 minutes to get to work. However, after the snowstorm it took him an hour and 15 minutes to get to work. What was the percent increase in his commute time to work? Express your answer to the nearest whole number.
Answer: 114%
Step-by-step explanation:
From the question, we are informed that it usually takes Roger's father 35 minutes to get to work but that after the snowstorm it took him an hour and 15 minutes to get to work.
We should first convert 1 hour, 15 minutes to minutes. Since 60 minutes = 1 hour; Therefore, 1 hour, 15 minutes = 60 minutes + 15 minutes = 75 minutes.
The percent increase in his commute time to work will then be:
= [(75 - 35) / 35] × 100
= 40/35 × 100
= 114.28571%
= 114%
The percentage increase is 114%.
Find the y-value given the x-value: y = 2x + 10; x = 4*
y = 2x + 10; = 4
Answer:
y = 18
Step-by-step explanation:
y = 2(4) + 10
y = 8 + 10
y = 18
Trey recorded the number of ounces of water he drank each day in the histogram below.
Which of the following would be the best measure of variability?
A.
interquartile range
B.
mean
C.
median
D.
mean absolute deviation
When Trey recorded the number of ounces so the best measure of the variability should be considered as the mean absolute deviation.
What is the mean absolute deviation?The mean absolute deviation refer to the dataset which represent the average distance that lies between every data point and the mean.
It provides the idea related to the variability arise in the dataset.
hence, The best measure of the variability should be considered as the mean absolute deviation.
learn more about mean here: https://brainly.com/question/8870962
Please help its geometry :( no one answer my question
tried taking a photo and fail but any ways 16 - 2t = 5t + 9
ooo among us!! i was just looking at some fan art of it.. also love your pfp! who is it? if u don't mind me asking I would love to watch the show if it.. or at least know the person :D
anyway.. happy day/night ~
I need Geometry Tutor onna low but can anyone figure this out ?
Answer: angle 1 = 22 degrees
============================================
Work Shown:
x = measure of angle 1 = unknown
y = measure of angle 2 = 49
x+y = measure of angle PQS = 71
x+y = 71
x+49 = 71
x+49-49 = 71-49 .... subtract 49 from both sides
x = 22
angle 1 is 22 degrees.
Answer:
[tex]m \angle 1[/tex] = 49º.
Step-by-step explanation:
We are given that [tex]m\angle PQS[/tex] is 71º and [tex]m \angle 2[/tex] is 49º. Since [tex]m \angle 1 + m \angle 2[/tex] must equal [tex]m\angle PQS[/tex], we have that 49º + [tex]m \angle 1[/tex] = 71º. Therefore, [tex]m \angle 1[/tex] = 71º - 49º = 22º.
what is the expression in radical form? (5x^3 y^2) 2/8
Answer: (y^{2}x^{3}⋅5)/4
Step-by-step explanation:
Convert to Radical Form
[tex](5x^3y^2)\frac{2}{8}[/tex]
Reduce the expression [tex]\frac{2}{8}[/tex] by cancelling the common factors.
Factor 2 out of 2.
[tex]5x^3y^2\frac{2(1)}{8}[/tex]
Factor 2 out of 8.
[tex]5x^3y^2 \frac{2(1)}{2(4)}[/tex]
Cancel the common factor.
[tex]5x^3y^2 \frac{1}{4}[/tex]
Combine 5 and [tex]\frac{1}{4}[/tex].
[tex]x^3y^2\frac{5}{4}[/tex]
Combine [tex]x^{3}[/tex] and [tex]\frac{5}{4}[/tex] .
[tex]y^2\frac{x^3(5)}{4}[/tex]
Combine [tex]y^{2}[/tex] and [tex]\frac{x^3*5}{4}[/tex]
[tex]\frac{y^2x^3*5}{4}[/tex]
What was the range of the snowfall in Denver?
7.6 inches
9.2 inches
4.8 inches
5.4 inches
10 points pleas do not answer if u do not know
Answer:
9.2 but I am not sure because it shows that 8.5 so yeah
Step-by-step explanation:
HOPE THIS HELPS
==============================================================
Explanation:
Check out the diagram below
In that diagram, I've marked the highest and lowest bars with red ink.
max = 8.4 inchesmin = 0.8 inchesThe range is simply the difference of the highest and lowest values
So,
range = max - min
range = 8.4 - 0.8
range = 7.6
The answer is choice A.
SOMEONE PLEASE HELP ME
Answer:
x=5 y=38
Step-by-step explanation:
180 degrees total minus the right angle (90) = 90... divide that by the two angels and its 45 each so for x; 45/3 = 5 for y; 45-7= 38
Answer:
y=−3x+83
x= −1 /3 y+ 83 /3
Step-by-step explanation:
right angles=90
triangles=180 degrees
180=3x+y+7+90
solve for x
3x+y+97=180
Add -y to both sides
3x+y+97+−y=180+−y
3x+97=−y+180
Add -97 to both sides
3x+97+−97=−y+180+−97
3x=−y+83
Divide by 3
x= −1 /3 y+ 83 /3
now solve for y
180=3x+y+7+90
Add -3x to both sides
3x+y+97+−3x=180+−3x
y+97=−3x+180
Add -97 to both sides
y+97+−97=−3x+180+−97
y=−3x+83
5.Select all of the expressions that are equivalent to 8x - 12
(3 Points)
a.4(2x - 3)
b.-12x + 8
c.6x + 2x - 12
d.8(x - 1) - 4
Answer:
A
Step-by-step explanation:
I need help someone help me plz
Answer:
the answer to x is 4
Step-by-step explanation:
.
2m+11=-73 what number does m=?
Answer:
m=-42
Step-by-step explanation:
hope this helps:)
Answer:
-42
Step-by-step explanation:
Subtract 11 from both sides making it 2m=-84
Divide 2 from both sides making the expression m=-42
11 Karl takes a ride in a taxi and is charged $2.75 for the first of a mile. He is charged $0.25 for each
additional to
of a mile traveled and gives the driver a $3.50 tip. Explain how to determine the number of
miles that Karl can ride in the taxicab for a total of $28.50 including the tip. Show your work.
I WILL GIVE HIGH POINTS JUST PLEASE HELP SOON.