Answer:
The function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
Step-by-step explanation:
The zeros of the polynomial are: -2,4,0
We can write them as
x=-2, x=4, x=0
or
x+2=0,x-4=0,x=0
Multiplying all terms:
[tex](x+2)(x-4)(x)\\=((x-4)+2(x-4))(x)\\=x^2-4x+2x-8)x\\=(x^2-2x-8)x\\=x^3-2x^2-8x[/tex]
So, the function [tex]f(x)= x^3-\mathbf{2}x^2-\mathbf{8}x[/tex]
Explain why 49 has two possible square roots
Answer:
Every positive number has 2 square roots, one positive and another one is negative. Square root of 49 is ±7, because you can obtain 49 by multiplying two 7's or two (-7)'s.
Step-by-step explanation:
Answer:
49 has 2 possible square roots +7 and -7
Step-by-step explanation:
49 has 2 possible square roots because 7x7=49
And -7 x -7 = 49
A negative times a negative equals a positive, so when you take the square root of 49, it is impossible to tell if 49 was the result of -7 x -7 or +7 x +7. Therefore, the square root of 49 has two possible answers.
Which graph shows a function where f(2) = 4?
Answer:the graph should look like this
Step-by-step explanation:
What additional information is required in order to know what triangles are congruent
A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 meters per 4 seconds. A solar-powered car on a racetrack.
A. What representation can show the distance the car will travel over time?
B. What expression can show the distance the car will travel over time?
C. Compare the representation and the expression. Which shows the distance traveled over time more clearly? Explain.
Answer:
A) Distance time graph
B) d(t) = 25t
C) The expression shows the distance more clearly.
Step-by-step explanation:
A) A distance time graph as seen in the attachment provides a representation of the distance travelled.
We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.
B) And expression for the distance is;
d = vt
Where;
d is distance in metres
v is speed in m/s and t is time
We are told that the car travels at a constant speed of 100 meters per 4 seconds.
Thus, v = 100/4 = 25 m/s
Distance travelled over time is;
d(t) = 25t
C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.
If n = 5.3 cm and p = 6.25 cm, what is the measure of angle ?
Answer:
Hope this helps can I get brainliest I need to rank up :))))
Step-by-step explanation:
32° ... If he is standing 15 feet from the base of the pole, about how tall is the.
Answer:
58
Step-by-step explanation:
Please help me! IT WOULD BE AMAZING IF YOU CAN!
Answer:
x<3 or x>5
Step-by-step explanation:
doesn't equal when there are open dots and x must be greater than 5
Which of the following must be true in order to write a bi-conditional statement?
A.) the conditional statement
B.) both the conditional statement and its converse
C.) the converse of the conditional statement
D.) neither the conditional statement nor its converse
Answer: B.) both the conditional statement and its converse .
Explanation: In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
The required solution is both the conditional statement and its converse.
It is required to choose the correct statement.
What is conditional statement ?A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.
Given:
In order to create a bi-conditional statement, you first need to write a conditional statement and then write the converse of that conditional statement. Finally, you use the if and only if statement structure to combine the conditional statement and its converse.
Biconditional Statement Examples:
The polygon has only four sides if and only if the polygon is a quadrilateral.
Therefore, the required solution is both the conditional statement and its converse .
Learn more details about conditional statement here:
https://brainly.com/question/18152035
#SPJ2
A company makes wax candles shaped like rectangular prisms. Each candle is 4 cm long, 3 cm wide, and 10 cm tall. If the company used 4080 cm of wax, how many candles did they make?
Answer:
34
Step-by-step explanation:
You can solve this problem by finding the volume of the candle first. The formula for rectangular prism is multiplying all three of its dimension. In this case, you would multiply 3, 10, and 4 together to get 120 cm^3. Assuming the question meant "the company used 4080 cm^3 of wax", divide 4080 by 120 to see the number of candles the company made, which is 34.
Find the gradient of the line that passes through the points
(5, 1) and (2, -5)
❤❤❤❤❤❤❤❤❤❤❤❤❤❤
Suppose :
a = ( 5 , 1 ) and b = ( 2 , - 5 )
______________________________________
We have following equation to find the slope of the line using two points :
[tex]slope = \frac{y(b) - y(a)}{x(b) - x(a)} \\ [/tex]
Now just need to put the coordinates in the above equation ;
[tex]slope = \frac{ - 5 - 1}{2 - 5} \\ [/tex]
[tex]slope = \frac{ - 6}{ - 3} \\ [/tex]
Negatives simpliflies
[tex]slope = \frac{6}{3} \\ [/tex]
[tex]slope = \frac{3 \times 2}{3} \\ [/tex]
[tex]slope = \frac{2}{1} \\ [/tex]
[tex]slope = 2[/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤❤
When you divide 2 negative numbers, the quotient is_______.
A. zero
B. positive
C. negative
D. not enough information
I will make brainiest whoever answers first!!!!!!!!
please help will give brainiest
❤❤❤❤❤❤❤❤❤❤❤❤❤
[tex]percent \: \: of \: \: boys = \frac{42 - girls}{42} \times 100 \\ [/tex]
❤❤❤❤❤❤❤❤❤❤❤❤❤
Which of the following is the value of expression 3y+5(x-8) when x=11 and y=2
Answer:
y=2
Step-by-step explanation:
that is it!!! I hope I'm correct..
Answer:
21
Step-by-step explanation:
Given
3y + 5(x - 8) ← substitute x = 11, y = 2 into the expression
= 3(2) + 5(11 - 8) ← evaluate parenthesis
= 6 + 5 × 3
= 6 + 15
= 21
Which rate has the same unit rate as 126 miles in 9 hours.
would it be
a 96miles in 6 hours
b 42 miles in 3 hours
c 80 miles in 5 hours
d 112 miles in 7 hours
Answer: THE ANSWER IS C
Step-by-step explanation:
I was absent for a while and have no idea what the heck is going on yes I said heck but id love the help Will mark the branlyiest.
Answer: what do u need help in ?
Step-by-step explanation:
In Triangle DEF, the sum of the measures of Angle D and Angle E is 110. The sum of the measures of Angle E and Angle F is 150. Find the sum of the measures of Angle D and F.
The required sum of the measures of angles D and F is 260 degrees.
Let's represent the measures of angles D, E, and F as D, E, and F, respectively.
From the given information, we have the following equations:
D + E = 110 (The sum of the measures of angles D and E is 110)
E + F = 150 (The sum of the measures of angles E and F is 150)
Now, we want to find the sum of the measures of angles D and F, which is D + F.
To find D + F, we need to eliminate E from the equations. We can do this by adding equations (1) and (2):
(D + E) + (E + F) = 110 + 150
Now, the E terms cancel out:
D + F = 260
So, the sum of the measures of angles D and F is 260 degrees.
Learn more about angles here:
https://brainly.com/question/16726490
#SPJ4
what is the size of the matrix resulting from [4 -1 0]×[2 1 0]
It would be 1 by 3
Since [4 -1 0] and [2 1 0] are both 1 by 3, the result should be the same since they match up.
also im learning the same thing right now lol
Write an equation of a line in standard form. (2,7)=-4
Answer:
i need points
Step-by-step explanation:
Please help me!! I have no idea how to solve this. I have two more like this and if you answer this one correct I will ask you if you could solve the other two and give you 15 for each question.
Answer:
A
Step-by-step explanation:
The x-intercept is the point at which the graph crosses the x-axis, find where y=0, then find the x for that point, so it’s A.
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
h(t) = –1672 +64t + 100, where represents time, in seconds.
Approximately how long did it take the ball to reach the ground (h=0)?
Answer:
5.2seconds
Step-by-step explanation:
Fredrick threw a ball from the top of a building. The height of the ball, in feet, after it is thrown is modeled by the function
The modeled function is given as
h(t) = –16t^2 +64t + 100,
We can see this is a quadratic equation, we can solve using quadratic formula, Below
= -b±(√b^2 -4ac)/2a
Where
a=-16, b=64, c=100
FROM THE ATTACHMENT
We have too answers t= -1.20s and t=5.20s
Therefore,it take 5.20s for the ball to reach the ground (h=0). Because "t" cannot be negative here
CHECK THE ATTACHMENT FOR THE QUADRATIC SOLUTION
how do I factor trinomials of a form ax^2+bx+c when a=1
In one paragraph
Answer:
Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.Step-by-step explanation:
As we know that a polynomial with three terms is said to be a trinomial.
Considering the trinomial of a form
[tex]ax^2+bx+c[/tex]
As
a = 1
so
[tex]x^2+bx+c[/tex]
Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.For example,
[tex]x^2+7x+10[/tex]
[tex]=\left(x^2+2x\right)+\left(5x+10\right)[/tex]
[tex]=x\left(x+2\right)+5\left(x+2\right)[/tex]
[tex]\mathrm{Factor\:out\:common\:term\:}x+2[/tex]
[tex]=\left(x+2\right)\left(x+5\right)[/tex]
Therefore, Trinomials in the form [tex]x^2+bx+c[/tex] can often be factored as the product of two binomials.
Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%
En un grupo de 51 alumnos se realizo una votación para elegir al jefe de grupo entre tres candidatos: Cesar, Karina y Sebastián, los cuales no podrán participar en la votación se sabe que Sebastián obtuvo la mitad de votos que obtuvo Cesar y Karina obtuvo 8 votos menos que él. Si hubo 6 abstenciones. ¿Cuántos votos obtuvo cada uno de ellos?.
Answer:
25 cesar 4.5 karina 12.5 sebastian
Step by step explanation:
42.
25
12.5
4.5
Step-by-step explanation:
Sausages come in packets of 12. Bread rolls come in packets of 9. Brian wants to buy enough packs of sausages and rolls so that there are an equal number of sausages and rolls. What is the minimum number of sausages and rolls he needs to buy?
lcm??????????
Answer:
LCM is 36
Step-by-step explanation:
9 x 4 = 36
12 x 3 = 36
A box of Fruit Rings cereal weighs 15.5 ounces. If there is approximately 0.04 ounces per gram, which best describes the weight, in grams, of a box of Fruit Rings?
Answer:
387.5 grams
Step-by-step explanation:
0.04 ounces = 1 grams
15.5 ounces = x grams
Cross Multiply
0.04 ounces × x grams = 15.5 ounces × 1 grams
x = 15.5 /0.04
x = 387.5 grams
The weight, in grams, of a box of Fruit Rings is 387.5 grams
Let’s think about another type of scenario. What if you were told that a bracelet requires 10 beads and 10 minutes to make while a necklace requires 20 beads and takes 40 minutes to make. The craftsman has 1000 beads to work with and he has 1600 minutes in which to work. If a bracelet costs $5 and a necklace costs $7.50, what is the maximum revenue that the craftsman can take in?
There are four inequalities in this situation. Let b be the number of bracelets made and n be the number of necklaces made. The system of inequalities for this situation is:
Hi, your question appears to be unclear. However, I inferred this to be a linear programming problem.
Answer:
$500
Step-by-step explanation:
To begin we need to state the system of inequalities for this situation (constraints):
For the number of available beads: [tex]10b + 20n \leq 1000[/tex] where b represents the number of bracelets made, and n represents the number of necklaces made.For the available time to make the jewelry: [tex]10b+40n\leq 1600[/tex][tex]b\geq 0[/tex][tex]n\geq 0[/tex]From the question, we note we are required to find the maximum revenue that the craftsman can take in. In other words, the optimization equation is [tex]5b+7.5n[/tex] = maximum revenue (taking note that a bracelet costs $5 and a necklace costs $7.50)
Next, we are to plot the inequalities on a graph to determine the feasible region: Doing so should give us these main vertices: (0,0) (0,40) (40,30 (100,0).
By substituting the vertices into the optimization equation (replacing b, and n) we can determine which quantity gives the maximum revenue:
For (0,40) ⇒ 5(0) + 7.5(0) = $0
For (0,40) ⇒ 5(0) + 7.5 (40) = $300
For (40, 30) ⇒ 5(40) + 7.5 (30) = $425
For (100, 0) ⇒ 5(100)+7.50(0) = $500
We notice that at point (100, 0) we have a maximum revenue of $500.
Is this correct, i did 21.5 times 33.6 and converted it to yards to the nearest tenth and i got 80.3
Answer:
Thats what i got too :)
Step-by-step explanation:
You have the correct answer. It is 80.3 square yards.
Work Shown:
Area of parallelogram = length*width = 21.5*33.6 = 722.4 sq ft
1 yard = 3 ft
1 sq yd = 9 sq ft ... square both sides
To convert from square feet to square yards, we'll divide by 9
This is the same as multiplying by 1/9
722.4 sq ft = (722.4 sq ft)*(1 sq yd/9 sq ft)
722.4 sq ft = (722.4)*(1/9) sq yards
722.4 sq ft = 80.2667 sq yards
722.4 sq ft = 80.3 sq yards
A middle school contains sixth, seventh, and eighth graders. Each grade level contains approximately the same number of students. The principal wants to find the answer to a survey question affecting each student in the school. He asks a sample group "What time do you get up in the morning?" Which of these characteristics define the best sample?
Answer:
the options are missing, so I looked for a similar question and found these options:
one student chosen at random from each grade level an equal number of students chosen at random from each grade level the first 10 students from each grade level to arrive at school in the morning all students arriving on one busthe answer is: an equal number of students chosen at random from each grade level
Step-by-step explanation:
A good sample must be random and representative of all the population. In this case, the population is all the kids that go to middle school. A good sample would need to be taken at random and all the students should have equal opportunity to be chosen, and the three grades must be included in the same proportion.
Answer:
one student chosen at random from each grade level
(A)
Step-by-step explanation:
If f(x)=5x+11 then f^-1(x)=
Answer:
f^-1(x) = (-1/5)x - 11/5
Step-by-step explanation:
f^-1(x) is the inverse so it must be
f^-1(x) = (-1/5)x - 11/5
Answer:
i do not got the full answer but i think you start from here
f(x)=-5x-11
y=-5x-11
x=-5y-11
x+11=-5y
answer is r+11
-5 or (-1/5)x - 11/5
Step-by-step explanation:
brainlest
Determine the number that can be used in place of the question mark to make the equation true.
(1/5)^?= 25
The solution is
Please help :(
Find the standard deviation of the set of data below to the nearest tenth.
14,11,9,6,10,16,15,13,9,12,19,10
Answer:
3.4 nearest tenth
Step-by-step explanation:
Standard Deviation, σ: 3.4399612400917
Count, N: 12
Sum, Σx: 144
Mean, μ: 12
Variance, σ2: 11.833333333333
Steps
σ2 = Σ(xi - μ)2
N
=
(14 - 12)2 + ... + (10 - 12)2
12
=
142
12
= 11.833333333333
σ = √11.833333333333
= 3.4399612400917
Hope this helps ya!
Sorry this didn't have the symbols I needed so that's why it's a little confusing.