QUESTION 4 PATTERNS, FUNCTIONS AND ALGEBRA 1. Given 6x³-8x³+2+9x7-4x a. How many terms are there in the polynomial? State the degree of the polynomial c. Determine the value of the polynomial if x=-1 b.
Answers:
a) There are 5 termsb) Degree = 7c) The value is -1==========================================
Explanation:
a) Each term is separated by a plus or a minus.b) The degree is equal to the largest exponent. This applies to single variable polynomials only.c) Replace each x with -1. Then use the order of operations PEMDAS to simplify. You should get -1 as the answer. Use a calculator to confirm. It is a coincidence that we have the same input and output. This will not always happen with any general polynomial function.What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
Find the value of x show your work
Answer:
x≈13.08
Step-by-step explanation:
We use the pythagora's theorem
\(a^{2} +b^2=c^2\\a=5\\b=x\\c=14\\5^2+x^2=14^2\\x^2=196-25\\x^2=171\\x=3\sqrt{19} =13.08\)
why is this equavilant
Answer:
Distribution property
Step-by-step explanation:
Find the exact value of cos 105 by using a half-angle formula.
multiply [4, 0, -1, 2, -3, -1]x[0, 1, -3, 1]
Please Help...
Multiplication of the given matrix is not possible by definition of matrix multiplication.
Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Expression for multiply,
⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]
Since, We can see that;
First matrix have order 1 x 6
And, Second matrix have order 1 x 4
We know that;
Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.
Hence, By given matrices we get;
Number of column in first matrix (6) ≠ number of rows in second matrix (1)
So, Multiplication of the given matrix is not possible by definition of matrix multiplication.
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In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10
Required:
What is the probability of selecting the color of ball that you just selected?
Answer:
The probability of selecting the color of ball that you just selected(a red ball) is \(P(r) = \frac{2}{10}\)
Step-by-step explanation:
From the question we are told that
The total number of colored balls is n = 10
The number of red balls is r = 2 red
The number of white ball is w = 4
The number of blue balls is b = 4
The number of balls to be selected is N = 2 balls
The cost of playing picking a ball is c = $10
The winnings is \(k = \$ P(A)\)
Here P(A) is the probability of obtaining the exact sequence of result and from the question it is P(A) = 0.10
Generally my price according to the question is
\(k = \frac{0.10 }{10}\)
=> \(k = 0.01 \)
Let assume we selected a red ball
Generally the probability of selecting a red ball is mathematically represented as
\(P(r) = \frac{2}{10}\)
During practice, the players on a softball team warm up by running the bases. This graph shows the relationship between the number of hours, x, of practice the players attend and the number of minutes, y, the players spend running the bases.
How many minutes do the players spend running the bases during each hour of practice?
The number of minutes that the players spend running bases during each hour of practice is the constant of proportionality of the proportional relationship.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
In the context of this problem, the variables x and y are given as follows:
Variable x: number of hours.Variable y: time spent running the bases.The equation for the constant is given as follows:
k = y/x.
Representing the hourly time spent running times, you can calculate it taking any point (x,y) on the graph of the function.
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How many paths are there from $A$ to $B,$ if you travel along the edges? You can travel along each edge at most once, but you can pass through the same point more than once. (You can pass through $B,$ as long as you end up at the point $B.$)
Answer:
9
Step-by-step explanation:
You don't need to pass through each edge once.
If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:
A-1-B
A-B
A-2-B
A-1-B-A-2-B
A-2-B-A-1-B
A-B-1-A-2-B
A-B-2-A-1-B
A-1-B-2-A-B
A-2-B-1-A-B
Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.
Hope this helps!
Which of the following designs involves repeated measurement of a variable before and after some event?
Group of answer choices
nonequivalent control group design
interrupted time-series design
matched group factorial design
multiple regression design
The design that involves repeated measurement of a variable before and after some event will be matched group factorial design. Hence, option C is correct.
What is Matched group factorial design?In this kind of experimental design, the research's participants are divided into groups, and key factors are matched to each group. The variables that are used to match the respondents must have an impact on the original study conclusion (the dependent variable).
The benefit of using matched group factorial design is,
Fewer people are needed for this kind of investigation, which could also produce more accurate results and results that are based on more information.
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A machine can pack a 3 ft by 2 ft by 2 ft carton with packing material in 3 seconds. How long would it take to fill a carton that measures 4 ft by 5 ft by 6 ft?
6.4 sec
24 sec
36 sec
30 sec
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
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Use factoring to solve the polynomial equation. Check by substitution or by using a graphing utility and identifying
x-intercepts.
8x4-32x² = 0
Rewrite the equation in factored form.
(Blank)=0
Then what is the solution pair?
The solution to the polynomial equation 8x⁴ - 32x² = 0 by factoring are x = 0 or x = -2 or x = 2
Using factoring to solve the polynomial equationTo solve the equation 8x⁴ - 32x² = 0 by factoring, we can factor out the greatest common factor of the terms:
8x²(x² - 4) = 0
Now we can use the difference of squares identity to factor the quadratic expression:
8x²(x + 2)(x - 2) = 0
Using the zero product property, we know that the product of two factors is zero if and only if at least one of the factors is zero.
Therefore, we can set each factor equal to zero and solve for x:
8x² = 0 or x + 2 = 0 or x - 2 = 0
Solving for x, we get:
x = 0 or x = -2 or x = 2
So the solution set for the equation is {0, -2, 2}.
To check the solution, we can substitute each value into the original equation and verify that it equals zero.
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plss help me i need ur guys help and if u dont i fail plsssss help im begging u
Answer: 37 hours.
Step-by-step explanation:
All you really have to do is divide 259 by 7.
Answer:
37 hours
Step-by-step explanation:
You would need to divide 259 by 7 creating your sum.
Find the value of x so that the line passing through (-3,7) and(x,5) has a slope of -4
Answer:
x= -5/2 or -5.2
Step-by-step explanation:
you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:
7=-4(-3)+b
now solve:
7=12+b
subtract 12 on both sides:
b=-5
now what you want to do is substitute it in and solve for x:
y=-4x-5
so:
5=-4x-5,
solve:
10=-4x
x=-5/2!!!!!!!!!!!!!!
hope this helped :)
Graph a line with a slope of 4 that contains the point (3, 0)
\(\text{view explanation pls}\)
Calculation ↓The first step is to write the line's equation in point-slope form
y-y1=m(x-x1)
y-0=4(x-3)
use the distributive property
y-0=4x-12
y=4x-12
Now that we have the equation of the line, we need to determine it's graph. how do we actually graph the line?Well, let's start with the y-intercept, which is -12 or (0, -12)
After plotting the point (0, -12) move up 4, over 1, up 4, over 1, up 4, over 1.
Do the same on both sides of the y-intercept.
hope helpful ~
Compute for the mean expenses of the XYZ Corporation given the following: Name Total Sales Total Expenses Quezon City 14,950.00 4,933.50 Caloocan City 18,290.00 6,035.70 Marikina City 37,200.00 12,276.00 Cebu City 18,900.00 6,237.00 Davao City 45,000.00 14,850.00 Mandaluyong City 23,000.00 7,590.00 Cavite 22,000.00 7,260.00 Laguna 21,000.00 6,930.00 Manila 66,000.00 21,780.00 Iloilo 34,000.00 11,220.00
The computed mean expenses of the XYZ Corporation based on the given information are 9,911.22.
What is the mean?The mean refers to the average value.
The mean is computed as the quotient that results from dividing the total value of the data set by the number of items in the set.
Name Total Sales Total Expenses
Quezon City 14,950.00 4,933.50
Caloocan City 18,290.00 6,035.70
Marikina City 37,200.00 12,276.00
Cebu City 18,900.00 6,237.00
Davao City 45,000.00 14,850.00
Mandaluyong City 23,000.00 7,590.00
Cavite 22,000.00 7,260.00
Laguna 21,000.00 6,930.00
Manila 66,000.00 21,780.00
Iloilo 34,000.00 11,220.00
Total 99,112.20
Mean Expenses = 9,911.22 (99,112.20 ÷ 10)
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help! please give 35 points
The area of the composite figure is 378.5 square feets.
How to find the total area of the figure?We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.
Remember that the area of a rectangle of width W and length L is given by:
A = L*W
So the area of this rectangle is:
A = 30ft*10ft = 300ft²
And the area of a circle whose diameter D is:
A = 3.14*(D/2)²
So in this case the area of the circle is:
A = 3.14*(10ft/2)²
A = 3.14*(5ft)² = 78.5 ft²
Then the total area of the composite figure is:
area = 300ft² + 78.5 ft²
area = 378.5 ft²
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PLEASE PLEASE HELP MEEE :(
Select the correct point on the coordinate plane.
Which point can be used to form a right triangle to derive the distance formula to find the length of the line segment?
(-3, 3) and (4, -1) are the points that can be used to form a right triangle to derive the distance formula to find the length of the line segment
Determining the distance between two points.Given the line on the xy-plane, we are to determine the points on the line that can be used to determine the distance between the two points.
The required points on the line will be the two endpoints on the line. The end points are (-3, 3) and (4, -1). The distance between this points is expressed as:
D = √(-1-3)²+(4+3)²
D = √14 + 49
D = √63
Hence the points that can be used to form a right triangle to derive the distance formula are (-3, 3) and (4, -1)
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Answer: It’s -1,-3
Step-by-step explanation:
got 100 on the test
HELP ASAP!!!!!
Point P is shown on the number line below. The distance between point Q and point P is 6 ½ units.
P
-12-10-8-6-4-2 0 2 4 6 8 10 12
a. Which number could represent point Q?
b. Explain how you determined your answer.
a: The number which could represent point Q are +2.5 or -10.5.
b. For determining the point Q add and subtract 6.5 units from point P.
What is meant by the term number line?A number line is a graphical portrayal of numbers on such a straight line in mathematics. A number line has numbers that are sequentially placed at equal distances across its length. It can be extended in any direction indefinitely and is generally denoted horizontally.A number line's numbers increase when moving from left to right as well as decrease when moving from right to left.A number line can represent any type of number, including fractions, decimals, integers, and so on.For the given question;
The distance between point Q and point P is 6 ½ units.
The location of point P is (-4) (seen from the number line).
a. The number could represent point Q are either +2.5 or -10.5.
b. Determine the number;
Add 6 ½ units = 6.5 units to (-4)
= -4 + 6.5
= + 2.5
Thus, point Q = + 2.5
Now, subtract 6 ½ units = 6.5 units to (-4).
= -4 - 6.5
= -10.5
Thus, point Q = + 2.5.-10.5.
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С
What is the solution to the equation 3x ÷ (-6) = -12?
Answer:
x=24
Step-by-step explanation:
First: Multiply -6 to both sides
Next: You get 3x=72
Then: Divide 72 by 3
Last:....
ANSWER: x=24
hi !! the answer is x= -24 :))
42+32 / 4 step by step
Answer:
21.25 is your answer
Step-by-step explanation:
42 + 32 = 84
84 divided by 4 = 21.25
Hope this helps you :)
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Help help help help I really need help on this question please
Answer:60 cents per taco
Step-by-step explanation:
120/2=60
180/3=60
300/5=60
480/8=60
2.44(4.5−3.175)
15.98
3.233
28.25
1.325
Answer:
3.233
Step-by-step explanation:
Please help me with this!! tysm <3
Answer:
5
Step-by-step explanation:
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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Please help!! ASAP!!!
Answer:
125 cm
Step-by-step explanation:
I am 100% sure because I did the math
The volume of a cone is 13.4m cubed and the radius is 3.2m what is the height
Answer:
The height is 1.25m.
Step-by-step explanation:
Volume = 1/3 πr²h
Given:
V = 13.4 m³
r = 3.2 m
Asked: height (h)
Substitute the formula with the given values then solve
13.4m³ = 1/3π(3.2m)²h
13.4(3) = 10.24πh
40.2 = 10.24πh
h = 40.2/10.24π
h = 1.25m
The height of the cone is 1.25 meters.
We know that the volume of the cone is given by
V = (1 / 3) * π * r ^2 * h................equation 1
where,
V is the volume of the cone.
r is the radius of the cone's base
h is the height
The volume and radius of the cone are given,
V = 13.4 m
r = 3.2m
substituting these values in equation 1 we get,
13.4 = (1 / 3) * 3.14 * 3.2 ^ 2 * h
on simplifying further
13.4 = 10.717 * h
h = 1.25m
The height of the cone is 1.25 meters.
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Can someone help awnser this
Answer:
A) Bicycle: Circumference: 188.4cm
Distance of 100 Turns: 18840cm
Diameter: 60
B) In-line skate: Circumference: 25.12cm
Distance of 100 Turns: 2512cm
Diameter: 8
C) Skateboard: Circumference: 15.7cm
Distance of 100 Turns: 1570cm
Diameter: 5
Step-by-step explanation:
The circumference would be one turn. So, you simply multiply the circumferences by 100.
A) 188.4 x 100 = 18840
B) 25.12 x 100 = 2512
C) 15.7 x 100 = 1570
Help usatestprep need answer
Answer:
one solution
Step-by-step explanation:
they only meet up once
get a new computer br.uh
Which statement would be a reasonable prediction based on the scatterplot and trend line? O A box with 10 books should weigh about 2 pounds. A box with 10 books should weigh about 4 pounds. A box with 10 books should weigh about 6 pounds. O A box with 10 books should weigh about 12 pounds.
Answer:
D
Step-by-step explanation:
please give brainliest I need five brain to go to next level
Answer:
its b
Step-by-step explanation:
its not d i took a test and got it wrong