Answer:
Step-by-step explanation:
For us to be able to determine the polynomials that are divisible by (x-1), this means that x-1 must be a factor for the functon to be able to divide any of the polynimial.
Since x-1 is a factor, we can get the value of x
x-1 = 0
x =0+1
x = 1
Next is for to substitute x - 1 into the polynomial and see the ones that will give us zero
For A(x)=3x^3+2x^2-x
A(1) = 3(1)^3+2(1)^2-(1)
A(1) = 3+2-(1)
A(1) = 5-1
A(1) = 4
Since A(1) ≠ 0, then x-1 is not divisible by the polynomial function.
For B(x)=5x^3-4x^2-x
B(1)=5(1)^3-4(1)^2-1
B(1)=5-4-1
B(1)=1-1 = 0
Since B(1) = 0, hence x-1 is divisible by 5x^3-4x^2-x
For the polynomial C(x)= 2x^3-3x^2+2x-1
C(1)=2(1)^3-3(1)^2+2(1)-1
C(1)=2-3+2-1
C(1)= -1+1
C(1)= 0
Since C(1) = 0, hence x-1 is divisible by the
For the polynomial D(x)=x^3+2x^2+3x+2
D(1)=1^3+2(1)^2+3(1)+2
D(1)=1+2+3+2
D(x) = 8
Hence the polynomial D(x) is not divisible by x-1
Hence the correct options are B(x)=5x^3-4x^2-x and 2x^3-3x^2+2x-1
Answer:
B(x) and C(x)
Step-by-step explanation:
ft. = 4.8 yd.
How many feet is it
if triangle ocd ≅ triangle JAL, then which of the following statements are true?
Answer:
I III and IV
Step-by-step explanation:
According to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Given :
Triangle OCD ≅ Triangle JAL
The given triangles can be similar through the ASA postulate. According to the Angle Side Angle postulate, two angles and included side of one triangle is congruent to the other two angles and included side of another triangle then both the triangles are congruent.
So according to the SAS (Side Angle Side) postulate, the side OC is congruent to side JA, the angle COD is congruent to angle AJL, and the angle DCO is congruent to angle JAL.
Therefore, the correct option is D).
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Leslie gained 5.54 pounds between her third and fourth birthdays. If she weighed 42.48 pounds when on her fourth birthday, how much did she weigh in pounds on her third birthday? Does this mean to add or subtract? Pick the correct operation and solve ONLY that one.
Answer:
We Subtract
Her weight on her third birthday = 36.94 pounds
Step-by-step explanation:
Does this mean to add or subtract? This means we add. The operation we are using is SUBTRACTION
Leslie GAINED 5.54 pounds between her third and fourth birthdays.
This means she added weight
She weighed 42.48 pounds on her Fourth birthday
Hence, Her weight in her third birthday is:
Third birthday + 5.54 pounds = 42.48
$42.48
Third birthday = 42.48 - 5.54
= 36.94 pounds
Her weight on her third birthday = 36.94 pounds.
Denise runs a 10 kilometer race (6.2 miles). Her average time per mile is shown.
Answer:
Step-by-step explanation:
8.5*6.2=52.7
The required time taken by Denise to complete the race is 52.7 minutes.
Given that,
Denise runs a 10-kilometer race (6.2 miles). Her average time per mile is 8.5 minutes per mile.
Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Denise runs a 10-kilometer race (6.2 miles).
Denise run 1 mile in 8.5 minutes
Time is taken by denis to run 6.2 miles = 6.2 * 8.5
= 52.7 minutes
Thus, the required time taken by Denise to complete the race is 52.7 minutes.
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Evaluate x/y when x=9/4 and y=3/5
Answer:
[tex]\displaystyle x/y=\frac{15}{4}[/tex]
Step-by-step explanation:
Division of fractions
To calculate the division of fractions a/b and c/d, it's usually easier to multiply a/b by the reciprocal of the denominator, that is:
[tex]\displaystyle \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a}{b}\cdot \frac{d}{c}[/tex]
We will evaluate x/y when x=9/4 and y=3/5:
[tex]\displaystyle \frac{\frac{9}{4}}{\frac{3}{5}}=\frac{9}{4}\cdot \frac{5}{3}[/tex]
[tex]\displaystyle=\frac{45}{12}[/tex]
Simplifying:
[tex]\displaystyle \boxed{x/y=\frac{15}{4}}[/tex]
What is the average rates of change of f(x) = x2-5 over the interval [-2,0].
The cost of a speeding ticket is a function of each mile per hour that exceeds the speed limit multiplied by a fixed rate of $2 plus a $40 processing fee.Write the function that represents this relationship.Then determine the cost of a speedingticket for a car that has gone 50 mph in a 35 mph zone
The cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
Describe Function?In mathematics, a function is a relationship between two sets of numbers, known as the domain and the range, that assigns each element of the domain a unique element in the range. A function can be thought of as a machine that takes input from the domain and produces output in the range.
More formally, a function f from a set X to a set Y is denoted as f: X → Y
For example, the function f(x) = 2x assigns to each real number x a unique real number 2x. When x = 1, f(1) = 2; when x = -3, f(-3) = -6.
Functions can be represented in a variety of ways, including algebraic expressions, tables of values, and graphs. The graph of a function is a visual representation of the relationship between the input and output values, and can be used to analyze the behavior of the function.
Functions are important in many areas of mathematics, science, and engineering, and are used to model relationships between quantities, solve problems, and make predictions. They are also used in computer programming, where they are used to encapsulate behavior and modularize code.
The function that represents the relationship between the speed of a car and the cost of a speeding ticket can be expressed as:
C(x) = 2(x - L) + 40
where:
C(x) is the cost of the speeding ticket for a car traveling at speed x (in mph).
L is the speed limit (in mph).
(x - L) represents the number of miles per hour over the speed limit that the car was traveling.
The fixed rate is $2 per mile per hour over the limit, and there is a $40 processing fee added to every ticket.
To determine the cost of a speeding ticket for a car that has gone 50 mph in a 35 mph zone, we substitute the values for x and L into the formula above:
C(50) = 2(50 - 35) + 40
C(50) = 2(15) + 40
C(50) = 30 + 40
C(50) = $70
Therefore, the cost of the speeding ticket for a car that has gone 50 mph in a 35 mph zone is $70.
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A market stall has 13 bags of apples, and 11 loose apples on display. In
total there are 141 apples at the stall. How many apples are in each bag?
Answer:
10 apples
Step-by-step explanation:
141-11 is 130. it says there are 11 loose apples on display. in total, there are 130 apples in the bag
we know that there are 13 bags of apples. so 130/13 is 10. there are 10 apples in each bag
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion.
Answer: in the second ratio, the number of people is the denominator. It should be the numerator to match the first ratio.
Answer:
the denominator in 6/9.75 is incorrect
Step-by-step explanation:
find unit rate then x 24 numerator. 24 the denominator,
the denominator in 6/9.75 is incorrect.
PLS HELP WITH THIS QUESTION
Answer:
I think C
Step-by-step explanation:
Plz help me I’ll give brainliest!!
Answer:
k = 1
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (4, 1 )
with k = 1
Look at the angle shown below.
V.
Estimate the measure of the angle.
Please help I’m not sure what it is don’t make fun I’m not good at math
Answer:
3.75 or 3[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
The first thing we can find is the scale factor of the two triangles. You can see that the corresponding sides AB and A'B' are 2 and 8 respectively, and since the two triangles are similar, you can say that triangle ABC is shrunk by a factor of 2/8 or 1/4.
Next, we need to figure out what side B'C' is and we can do this using the Pythagorean theorem [tex]a^{2}[/tex]+[tex]b^{2}[/tex] = [tex]c^{2}[/tex]. Using this, we know that [tex]8^{2}[/tex]+
Now, since ABC is shrunk by 1/4 and the corresponding side of BC is equal to 15, we need to multiply 15 by 1/4 and you would find that BC is 3.75 or 3[tex]\frac{3}{4}[/tex].
A baby weighed 7.25 pounds at birth. At the end of 8 months, the baby weighed 212
2
1
2
times its birth weight. How many pounds did the baby weigh at the end of 8 months?
Answer:
1537pounds
Step-by-step explanation:
Given parameters:
Weight of baby at birth = 7.25 pounds
Unknown:
Weight at the end of 8months = ?
Solution:
From the second sentence;
Weight at the end of the eighth month = 212 x weight at birth.
Input the parameters and solve;
Weight at the end of eighth month = 212 x 7.25 = 1537pounds
A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.
Answer: The cost will be same for 6 hours.
Step-by-step explanation:
Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.
Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.
Let x = Number of hours
y = Total cost
Then, Total cost (in $) for first company (y) = 22+3x
Total cost (in $) for second company (y) = 17.50+3.75x
So required system of equations :
y = 22+3x
y= 17.50+3.75x
When the cost will be the same,
22+3x = 17.50+3.75x
⇒ 3x - 3.75x = 17.50- 22
⇒ - 0.75x = -4.5
⇒ x =6 [Divide both sides by -0.75]
Hence, the cost will be same for 6 hours.
Brandon was on vacation for 2 weeks and 1 day. He spent the same amount of time with each of his 3 brothers. How many days did he spend with each brother?
Answer:
2.67 days each
Step-by-step explanation:
Answer: 2.67
Step-by-step explanation:
TRUE OR FALSE
Angle BAH and angle DAG form linear pair.
Answer:
false
Step-by-step explanation:
8800000 in scientific notation
Answer:
8.8 x 10 to the power of 6
Step-by-step explanation:
I need help with this worksheet I don't understand from 12-14
Answer:
13.jawaban nya
c.
14.jawaban nya
A.
15.jawaban nya
c.
29 2/3 divide 7 1/2
what’s the answer
Answer:2 5/42 or 89/42
Step-by-step explanation:
3 + 15 + 3
- 4 2
I need help figuring this out
Answer:
3+15+3-42
=18+3-42
=21-42
=-21
HELP PLEASE !!!!
(2^6)^x=1 what is the value of x?
Answer:
x = 0
Step-by-step explanation:
Using the rule of exponents
[tex]a^{0}[/tex] = 1
Given
[tex](2^{6}) ^{x}[/tex]
= [tex]2^{6x}[/tex]
The only way for this to equal 1 is for x to be zero
Thus x = 0
f(2) = ? pls helpppppp
Answer:
-2
Step-by-step explanation:
f(2): take the (2) from the f(2) because that's the x value.
you go to where it's 2 on the x-axis.
f(x)=f(2)
f(x)=y
so you are trying to find the y-axis number when you are at 2 on the x-axis.
whichhh is -2
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right
If 52 men can do a piece of work in 35 days in how many days will 28 men to it?
28 mando the peace of work in 41 days
by divida 52 and 35 and multiiply with28
a
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6
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a
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n
)
=
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-
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Answer:
what should we have to do here
I don't understand
2. Tamara has to go on a business trip. Including taxes, her round trip airfare is $400 and her room costs $150 per night. The cab fare from the airport to the hotel is $40. If Tamara stays for two nights, how much does the trip cost, not including the cost of food?
Answer:1180,740
Step-by-step explanation:
2 night, so (400x2)+(150x2)+(40x2)=800+300+80=1180 this is cost to go and come back.
400+300+40=740 this is the cost for only going there and not coming back.
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
please help! i would appreciate it!
Answer:
(Answer
Step-by-step explanation:
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