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
8 True or False: The substitution method is a method of solving systems of equations by adding equations together in such a way that the variables are set aside, one by one.
Answer: I personally think it's true but I am not for sure
Step-by-step explanation:
-21+(-59) what is the answer
Answer:
-80
Step-by-step explanation:
What are the four quadrants for graphing ???????
Plsssssssssssssss help me
Answer: its in the pic
Step-by-step explanation:
Answer:
for a straight line graph,pick two points on the graph - The gradient of the line =(change in y-coordinate)/change in x-coordinate)You can,also use dis to find the equation of the line Since the line crosses the y-axis when y=3 , the equation of the graph is y=1/2x +3
What two things do you NEED to write an equation in point-slope form?
Answer:
a letter or a word of any kind
Answer: In order to use the slope-intercept form, one needs a slope and the y-intercept. If you don't have or can't find these two pieces of information, you can't use the slope-intercept form
Step-by-step explanation:
Here are recipes for two mixtures of salt and water that taste different. a) If you used 10 cups of water, which mixture would use more salt? How much more? Explain or show your reasoning. b) Which mixture tastes saltier? Explain how you know.
Answer:
DrPepper is a carbonated soft drink. It was created in the 1880s by pharmacist Charles Alderton in Waco, Texas, and first served around 1885. Dr Pepper was first nationally marketed in the United States in 1904 and is now also sold in Europe, Asia, North and South America, and Australia, as well as New Zealand and South Africa as an imported good. Variants include Diet Dr Pepper and, beginning in the 2000s, a line of additional flavors.
Step-by-step explanation:
Answer:
All sound really freaking salty. And rule out the 3rd option cause that uses more water to salt than any. The saltiest would be Choice a, because, the other options have more water to salt than choice a.
Step-by-step explanation
My grammarly says this writing sucks.....hope it doesnt for you. Best i can explain
F. The relationship between x and y is not a straight line.
Does anyone know the answer??
Answer:
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
Step-by-step explanation:
Taking two points from the given line
(3, 0)(-3, -2)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(3,\:0\right),\:\left(x_2,\:y_2\right)=\left(-3,\:-2\right)[/tex]
[tex]m=\frac{-2-0}{-3-3}[/tex]
[tex]m=\frac{1}{3}[/tex]
From the graph, the y-intercept can be calculated by setting the x=0 and then check the corresponding value of y.
at x = 0, y=-1
Thus, the y-intercept = -1
We know that the slope-intercept form is
[tex]y=mx+b[/tex]
where m is the slope, and b is the y-intercept
substituting the values of m=1/3 and the y-intercept b = -1
[tex]y=mx+b[/tex]
[tex]y=\frac{1}{3}x+\left(-1\right)[/tex]
[tex]y=\frac{1}{3}x-1[/tex]
As the line equation represents a straight line, so the relationship between x and y is a straight line.
Therefore, option E is true.
3 A trainer for a soccer team keeps track of the amount of water players consume during practice. The trainer observes that the average amount of water consumed by the team is a linear function of the temperature. The graph and equation for this function are shown. Choose True or False for each statement. True у 7.8 a. For every degree increase in temperature, the average amount of water consumed increases by 0.0875 gallons. False 7.2 b. When the temperature is below 74 degrees, the team consumes no water. Water (gal) True 6.6 64 False 6.0 0 X True 0 74 76 78 80 82 84 86 88 90 92 94 C. When the temperature is 86 degrees, the team consumes somewhere between 7 gal and 7.2 gal of water. Temperature (°F) False w = 0.0875t – 0.45, where w represents the average amount of water consumed, and t represents the temperature on that day. True d. The amount of water consumed by the team decreases by 0.45 gallons for every degree the temperature falls, False S
Answer:
Step-by-step explanation:
true false true false
Help please i dont get thiss
Answer:
4/6
Step-by-step explanation:
just keep in multiplying the fraction upp and down
(-3, 1), (-17, 2) find the slope show the work
Answer:
1/-14 or -0.071428571428571
Step-by-step explanation
(-3,1) ___ -3 is x1 while 1 is y1
(-17, 2) ___ -17 is x2 while 2 is y2
slope formula is m = y2-y1/x2-x1
plug them in: m = 2-1/-17-(-3), which equals 1/-14 or -0.071428571428571
PLEASE HELP ASAP!
A cheese wheel has a circumference of 18π in and an area of 81π in2. A sector of the wheel with an arc length of 3π in is removed. What is the area of this sector?
a) 6π in2
b) 486 in2
c) 13.5π in2
d) π6 in2
Answer:
13.5π in2
Step-by-step explanation:
just took the quick check
In a 3 digit number, the tens digit equals to the sum of the hundreds digit and the units digit. The hundreds digit of this number is 3 more than the units digit. If the digits were reserved, the new number is 11 less than half of the original number. Find the original number. Brainly
Answer:
The original number is 572.
Step-by-step explanation:
Let the 3 digit number by xyz.
Where x is the hundreds digit, y is the tens digit and z is the units digit.
Hence, the digit is (100x + 10y + z).
From the question, the tens digit equals to the sum of the hundreds digit and the units digit.
That is,
y = x + z ...... (1)
Also, from the question, the hundreds digit of this number is 3 more than the units digit.
That is,
x = z + 3 ...... (2)
Also, from the question, If the digits were reserved, the new number is 11 less than half of the original number
If the digit were reversed, that is xyz becomes zyx. Then, the new number is (100z + 10y + x).
the new number is 11 less than half of the original number
That is,
(100z + 10y + x) + 11 = 1/2(100x + 10y + z)
This becomes
200z + 20y + 2x + 22 = 100x + 10y + z
200z - z +20y -10y +2x - 100x = -22
199z + 10y -98x = -22 ...... (3)
Solving the equations simultaneously,
Put the value of x in equation (2) into equation (1)
x = z + 3 ...... (2)
y = x + z ...... (1)
That is,
y = (z+3) + z
y = 2z + 3 ...... (4)
Put the value of y in equation (4) into equation (3)
199z + 10y -98x = -22
199z + 10(2z +3) -98x = -22
199z + 20z + 30 -98x = -22
219z -98x = -22-30
219z -98x = -52 ...... (6)
Put the value of x in equation (2) into equation (6)
219z -98(z+3) = -52
219z -98z -294 = -52
121z = -52 + 294
121z= 242
z = 242/121
∴ z = 2
Put the value of z into equation (2)
x = z + 3
x = 2 + 3
∴ x = 5
Put the values of z and x into equation (1)
y = x + z
y = 5 + 2
∴ y = 7
Hence, x = 5, y = 7 and z = 2.
Recall that the original number is 100x + 10y + z.
100x + 10y + z = 100(5) + 10(7) +2 = 500 + 70 + 2 = 572
Hence, the original number is 572.
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each.
How much did Veronica spend on candy?
A. 8.95
B. 17.90
C. 26.80
D. 35.80
Answer:
Your answer is C. 26.8
Step-by-step explanation:
5 × 1.79 = 8.95
15 × 1.19 = 17.85
8.95 + 17.85 = 26.8
Answer: C ($26.80)
Step-by-step explanation:
This is a multiplication problem.
The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:
5 * 1.79 = $8.95
The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:
20 - 5 = 15 bags
Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:
15 * 1.19 = $17.85
Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.
8.95 + 17.85 = $26.80
This total cost is shown in answer C, so that is the answer.
The perimeter of the picture is
36 inches. What is the height of
the picture?
Х
8 inches
Answer:
x = 10 inches
Step-by-step explanation:
P = 2 x (L + W)
36 inches = 2 x (8 + W)
36 = 16 + 2W
2W = 20
W = 10 inches
which one doesn’t belong?
come to your house to pick it lowest to go with D
Answer:
All of them have different answers so gonna say D because its only one number
Step-by-step explanation:
Hope this helps
sorry If its wrong
1 3 movie tickets cost $36. At this rate, what is the cost per ticket?
Answer:
$12 per ticket
Step-by-step explanation:
if 13 movie tickets cost $36 the cost per ticket is how much will a tiket cost
36/13= $12
He national debt of a country is $298,800,000,000,000 and the population is 53,980,000. What is the debt per person? Write the answer without exponents.
Answer:
5535383.47 units
Step-by-step explanation:
Given that,
The national dept of a country = 298,800,000,000,000
Population of the country = 53,980,000
We need to find the debt per person. It can be calculated by dividing national dept of a country to its total population. Let it is d.
[tex]d=\dfrac{298800000000000}{53980000}\\\\=5535383.47\ \text{units}[/tex]
Hence, the debt per person is 5535383.47 units.
What are the gradients (slopes) and y-intercepts of these lines, please?
Answer:
a. gradient 4
b. gradient 3
c. gradient 1
d. gradient 1
e. gradient -2
f. gradient 3
Step-by-step explanation:
to find y intercept substitute x to be 0
i.e y=3x
y=0
CAN SOMEONE THAT IS VERY GOOD IN MATH HELP ME
Answer:
2. 2/1 is the ratio of seltzer to juice. It means that there is twice as much seltzer as there is juice.
3. (2,4) represents the amount of seltzer and juice. At this point there are 4 cups of seltzer, and two cups of juice.
4. (1,2) can be used to find the constant of proportionality and slope.
5. y=2x
6. y=2*15
y=30
Step-by-step explanation:
If you need explanations for any of these let me know, and I'll add them.
Evaluate the following for f(-2)
F(x)=3x+2
Answer:
f(-2) = -4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x + 2
f(-2) is x = -2
Step 2: Evaluate
Substitute in x: f(-2) = 3(-2) + 2Multiply: f(-2) = -6 + 2Add: f(-2) = -4Answer 4
Step-by-step explanation:
3(-2)= -6
-6+2= -4
4. 8(0 - 9) = 6(2 - 12) - 40
Answer:
[tex]False[/tex]
Step-by-step explanation:
[tex]--------------------------------------------[/tex]
[tex]8\left(0-9\right)[/tex] = [tex]-72[/tex]
[tex]6\left(2-12\right)-40[/tex] = [tex]-100[/tex]
[tex]Does[/tex] [tex]-72[/tex] [tex]equal[/tex] [tex]-100?[/tex]
[tex]N[/tex] [tex]O[/tex]
[tex]So[/tex], [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]false.[/tex]
[tex]--------------------------------------------[/tex]
Hope this helps! <3
[tex]--------------------------------------------[/tex]
An object launched straight puwar from the ground level wiht an initional velocity of 32 feet per second.The formula H=32T-16T^2 gives it heigtht,h,in feet after t second. At what time does the object hit the ground?
Answer:
2 secs after
Step-by-step explanation:
Given the height of the object modeled by the eqaution;
H(t) = 32T - 16T² where;
T is the time in seconds
The object hits the ground when h(t)= 0
Substitute H = 0 into the equation and get t as shown;
0 = 32T - 16T²
0-32T = -16T²
-32T = -16T²
32T = 16T²
32 = 16T
T = 32/16
T = 2secs
Hence the object hits the ground after 2 secs
Which expression is NOT equivalent to 6 × 14?
Answer:
D
Step-by-step explanation:
10(40)= 400
6(400)= 2,400
6(14)= 84
Therefore they are not equal.
Write the equation y = mx + b of a line given two points.
Ex 1.(3,3) and (4,-2)
Ex 2. (4,1) and (6,2)
Answer:
Ex 1. y= -5.00x + 18.00 Ex 2. y= 0.50x + -1.00
Step-by-step explanation:
(results are in decimal form, rounded to the nearest 100th)
jerry started doing sit ups everyday. the first day he did 19 sit-ups. everyday after he did 4 more sit-ups than he had than the previous day. Today jerry did 81 sit-ups. write an equation that could be solved to find the number of days jerry has been doing sit-ups, not counting the first day. let n represent number of days.
Answer:
157
Step-by-step explanation:
Answer:
can you explain what two number you added to get that number "157"
Step-by-step explanation:
WILL GIVE BRAINLIEST
Answer:
the answer is A
Step-by-step explanation:
7. Which criteria for triangle congruence allows
you to immediately conclude that the triangles
are congruent with any extra steps?
a.
b.
SAS
AAS
HL
none
C.
Answer:
Option (B)
Step-by-step explanation:
From the figure attached,
Given:
AB ≅ CD
To prove :
ΔABC ≅ ΔCDA
Statements Reasons
1). AB ≅ CD 1). Given
2). AC ≅ AC 2). Given
3). ΔABC ≅ΔCDA 3). HL property of congruence
Therefore, Option (B) is the correct option.
Answer:
the answer is aas
Step-by-step explanation:
im sure u aint go read dis but the explanation is that the congruency of aas also know as angle-angle-side shows and appears many times due to the fact that if u were to split the two triangles apart there would be to angles and one side on each triangle
Point O is on line segment NP . Given NP=18 and , NO=10, determine the length OP .
Juan paid $42 in taxi fare from the hotel to the airport. The cab charged a $7 initial fee plus $2.50 for each additional mile. How many miles was it from the hotel to the airport?
Answer:
It was 14 miles from the hotel to the airport.
Step-by-step explanation:
From the information given, the taxi fair is equal to the initial fee plus the result of multiplying the price per mile for the number of miles, which is:
t=7+2.50x, where:
t is the taxi fair
x is the number of miles
Now, you can replace t with 42 and solve for x to find the miles:
42=7+2.50x
42-7=2.50x
35=2.50x
x=35/2.50
x=14
According to this, the answer is that it was 14 miles from the hotel to the airport.
A mini toy helicopter ascends 50 feet vertically, then flies horizontally 200 feet. Find the angle of elevation to the helicopter now as seen by an observer at the takeoff point.
Answer:
the answer is 250
Step-by-step explanation:
Answer:
10.036
Step-by-step explanation:
Remark
Draw a triangle starting with a vertical line that goes from (0,0) to (0,50).
At the point (0,50) draw a horizontal line to (200,50)
Join the point (200,50) to (0,0)
What you have is an upside down right triangle. At the point (200,50) your job is to find the angle at the vertex point.
That angle is the same as the angle of elevation.
The horizontal line is 200 feet.
The vertical line is 50 feet
Formula
Tan(angle elevation) = o/a = 50/200 = 1/4 = 0.25
Solution
tan-1(0.25) = 14.036
Conclusion
The reason you use the top angle is because you only need to do one calculation. It gives the angle of elevation because the x axis and the 200 feet are parallel. The angles are in a z formation. so the angle you found and the angle of elevation are the 2 angles defined by the z.
[tex]I need help can someone help? I’m really stuck and it’s so really soon! I need to show my work[/tex]
