Which quadratic expression does NOT represents the model. ++++ + + + + + o x² + 58+4 (x + 4)(x + 1) 0 x² + 44+5
Answers
By the given diagram:
Since,
[tex]x^2+5x+4=(x+4)(x+1)[/tex]Then, the quadratic expression that does NOT represent the model is:
[tex]x^2+4x+5[/tex]
Related Questions
i need help answering the picture. since it won't let me put the whole picture, i can resend it.
Answers
We want to find the expression that represent the given pattern.
To determine this let us substitute 2 into each expression, the expression that gives the same value as the one in the pattern is the one that represent the pattern.
(at n=2, expression must be equal to zero)
[tex]\begin{gathered} -3n=-3(2)=-6 \\ -3n+6=-3(2)+6=0 \\ n+2=2+2=4 \\ 3n=3(2)=6 \\ 6n-3=6(2)-3=9 \end{gathered}[/tex]At n=2 only one expression gave us zero.
So, the only expression that represent the given pattern is;
[tex]B.-3n+6[/tex]What are the domain and range of this relation? 5 4 2 1 -5-4-3-2-10
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The domain in a relation y(x) is the set of values for which the relation is defined (the values on x, where y is defined)
In this relation the values wich the relation is defined is: the coordinates of x where there are a point:
Domain: -1, 0, 3The range in a relation y(x) is the set of all the values that y(x) takes (the values of y)
In this relation the values that takes y(x) are the coordinates of y where there are a point:
Range: -3, -1, 0For the rotation-301°, find the coterminal angle from 0° 0 < 360°, thequadrant and the reference angle.
Answers
Answer
Coterminal angle: 59°
Quadrant: I
Reference angle: 59°
Step-by-step explanation
The coterminal angle starts at the positive x-axis (shown in blue in the picture below)
The reference angle is always acute (except when it is exactly 90°) and starts at the positive or negative x-axis depending on in which quadrant is placed the original angle. In this case, the original angle, -301°, is placed at the first quadrant, then the coterminal angle from 0° < 0 < 360° and the reference angle coincide.
Quadrant I goes from 0° to 90°
4. How long (in seconds) will it take a file of 410 kB to downloadat a speed of 10000 bytes per second?
Answers
Given:
a.) A file of 410 kB.
b.) Download speed of 10000 bytes per second.
Recall: 1 kB (kiloByte) = 1,000 bytes
Step 1: Let's first convert bytes into kB.
[tex]\text{ 10,000 bytes x }\frac{\text{ 1 kB}}{\text{ 1,000 bytes}}\text{ = }\frac{\text{ 10,000 }}{\text{ 1,000}}\text{ kB}[/tex][tex]=\text{ 10 kB}[/tex]Step 2: Let's now determine how long it'll take to download 410 kB of file.
[tex]\text{ 410 kB }\div\text{ 10,000 bytes/second = 410 (kB) }\div\text{ 10 (kB)/second}[/tex][tex]\frac{\text{ 410 }}{\text{ 10}}\text{ second}[/tex][tex]\text{ = 41 seconds}[/tex]Therefore, it'll take 41 seconds to download a 410 kB file at a speed of 10,000 bytes per second.
Consider the following algebraic expression:-5x + 6Step 2 of 2: Identify the second term of the algebraic expression. Indicate whether the term is a variable term or a constant term. Fora variable term, identify the variable and the coefficient of the term.
Answers
So,
Here we have the following algebraic expression:
[tex]-5x+6[/tex]The second term of this expression is 6. This term is a constant term.
Please help me on this question ( will post second half )
Answers
Answer
Below are the statements and reasons to complete the proof:
Statement Reason
Slope from P to Q = F/E Definition of slope
At a railway yard, locomotives are used to haul containers carrying oil. A locomotive is chosen according to the volume of oil it can haul, as shown in the table.Locomotive CapacityA450 0−750 cubic feet CG35 750−1,500 cubic feet BR73 1,500−2,500 cubic feet YH61 2,500−3,500 cubic feet The four cylindrical containers listed in the table need to be hauled.Cylinder Length (ft.) Diameter (ft.) Fill Level A 40 12 half B 24 8 full C 16 16 full D 6 12 fullMatch each container to the locomotive needed to haul it.
Answers
To be able to determine which container and locomotive is best paired, let's first determine the volume of each cylinder.
If f(x)=2x+19g(x)=7x-3Find (f-g)(9)=
Answers
The solution for the function (f - g)(9) is -29
Given,
The functions;
f(x)= 2x + 19
g(x) = 7x - 3
We have to find the solution for (f - g)(9)
For that,
Subtract f(x) and g(x)
That is,
f(x) - g(x) = (f - g)(x)
= 2x + 19 - 7x - 3
= 16 - 5x
Here,
(f - g)(x) = 16 - 5x
Then,
(f - g)(9) = 16 - 5 × 9 = 16 - 45 = -29
That is,
The solution for the function (f - g)(9) is -29
Learn more about solution for the function here;
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A can of soda is placed inside a cooler. As the soda cools, its temperature T(x) in degrees Celsius is given by the following function, where x is the number of minutes since the can was placed in the cooler. T(x) = -20+38e^-0.41xFind the initial temperature of the soda and its temperature after 15 minutes. Round your answers to the nearest degree as necessary.
Answers
Solution:
Given the function:
[tex]T(x)=-20+38e^{-0.41x}[/tex]At initial temperature, x=0. Then;
[tex]\begin{gathered} T(0)=-20+38e^{-0.41(0)} \\ \\ T(0)=18 \end{gathered}[/tex]The initial temperature is 18 degrees Celsius.
Also; after 15minutes, x=15. Then;
[tex]\begin{gathered} T(15)=-20+38e^{-0.41(15)} \\ \\ T(15)=20 \end{gathered}[/tex]ANSWER: After 15 minutes, the temperature is at 20 degrees Celsius.
Find the measure of angle x in the figure below:65⁰to65⁰
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
data:
diagram
Step 02:
angles:
we must analyze the diagram to find the solution.
65° + 65° + x = 180°
x = 180° - 65° - 65°
x = 50°
The answer is:
x = 50°
The weather was rainy at the beginning of Monday. It rained for a few hours until lunch time. At lunch time, therain grew very heavy. There was heavy rain until the evening where it lessened. During the night, the rainincreased again. Choose the graph that best represents this situation.
Answers
The third graph best represents the given situation.
How can I get the graph that most accurately depicts the function?
The graph is first divided into the following sections:
Rainy at the start.
Lunchtime: The rain got heavier.
Evening: The rain abated.
In the evening, it rained more.
Because of the wet beginning, the function's intercept is not zero, which is true for all graphs.
Rain started to fall more around lunch, lessened in the evening, and then started to fall more once again at night. The third graph, which is circled in the illustration, better illustrates this issue because it shows that the rainfall never remained consistent.
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please help me I dont know the answer I also dont want to do it
Answers
We need first to replace the value of m
[tex]1+(-\frac{2}{3})-(-\frac{9}{2})[/tex]and then apply the sign rules
[tex]\begin{gathered} 1+(-\frac{2}{3})-(-\frac{9}{2})=1-\frac{2}{3}+\frac{9}{2} \\ =\frac{6-4+27}{6} \\ =\frac{29}{6} \\ \end{gathered}[/tex]then the answer is 29/6.
ryan received a box of jelly beans for his birthday.
Answers
Answer:
0.7
Explanation:
First, calculate the total number of jelly beans in the box.
[tex]Total=16+10+12+14+8=60[/tex]Ryan does not like licorice or lime.
[tex]Licorice+Lime=10+8=18[/tex]Thus, the number of jellybeans in flavors he likes will be:
[tex]60-18=42[/tex]Thus, the probability that he will pick a jelly bean from the full box that has a flavor he does like:
[tex]\begin{gathered} P(he\text{ picks a flavor he likes\rparen}=\frac{42}{60} \\ =\frac{6\times7}{6\times10} \\ =\frac{7}{10} \\ =0.7 \end{gathered}[/tex]The probability is 0.7.
The base of an isosceles triangle is 30 cm and each of it's equal sides is 20 cm . find its area
Answers
The peculiarity of isosceles triangles is that two of their sides have an identical length. It should be noted that the opposite angles to the sides that have the same length are also equal. This means that these triangles not only have two equal sides, but also two equal angles. You can find its area easily using the following formula:
Where:
b=Its base
a=one of its equal sides
Price of Flowers8What is the slope ofthe line??Price ($)m N O O = N -1Give your answer asa fraction in simplestform.1 2 3 4 5 6 7 8 9Number of Flowers
Answers
SOLUTION
From the diagram below, we have
From the diagram, slope m is given as
[tex]\begin{gathered} m=\frac{rise}{\text{run}} \\ m=\frac{3}{5} \end{gathered}[/tex]Hence the answer is
[tex]\frac{3}{5}[/tex]Point B is between point A & C. Use the following information to find the value of x. 1) AB = 3x2) BC = x+33) AC=21
Answers
1) AB = 3x
2) BC = x+3
Since point B is between points A and C It means that the sum of is both segments is equal to AC:
AB+BC = AC
So:
3x +(x+3)=21
Solving for x:
3x+x+3=21
4x+3=21
4x=21-3
4x= 18
x=18/4
x= 4.5
name five important preparatory mathematics focus skills
Answers
[•] Make time table and schedules.
[•] Make formula chart and place it in your study
room. Make sure that you see the formula chart and recall.
[•] Practice problems by writting in buff sheets. Avoid to use practicing problems in a new books.
[•] Focus and Concentrate on what you are writing and answering the problems. Make sure your mind should not divert to other activities.
[•] Take a mock test like you are attending annual exams for every weekend (Saturday and Sunday). If it is correct answer, then mark it as correct but be frank to lose your marks. Example, you have attended three mark question and the answer is correct. If the answer is correct then valuate the marks you got is one half or two marks. Be prompt if it is wrong, then valuate it's wrong and if right, then valuate it's right answer.
Convert 2 1/3 ft. to in.
Answers
Answer:
28 in
Explanation:
First, we need to convert the mixed number 2 1/3 ft to fraction, so we can use the following equation:
[tex]A\frac{b}{c}=\frac{(A\times c)+b}{c}[/tex]Then, 2 1/3 is equivalent to:
[tex]2\frac{1}{3}=\frac{(2\times3)+1}{3}=\frac{6+1}{3}=\frac{7}{3}[/tex]Now, taking into account that 1 ft is equivalent to 12 in, we can convert 7/3 ft to in as:
[tex]\frac{7}{3}\text{ ft }\times\frac{12\text{ in}}{1\text{ ft}}=\frac{7\times12}{3}=\frac{84}{3}=28\text{ in}[/tex]Therefore, the answer is 28 in.
Use a 30 - 60 - 90 triangle to find the cosine of 60 degrees
Answers
1) To build a 30-60-90 triangle, we start with an equilateral triangle with sides of length 4:
2) Now, we split the triangle with a vertical line:
3) From trigonometry, we know that:
[tex]\cos \theta=\frac{AC}{H}\text{.}[/tex]Where:
• θ is the angle of interest,
,• AC is the adjacent cathetus to the angle θ,
,• H is the hypotenuse.
In this case, we have:
• θ = 60°,
,• AC = 2,
,• H = 4.
Replacing these data in the formula above, we get:
[tex]\cos (60^{\circ})=\frac{2}{4}=\frac{1}{2}.[/tex]Answer: 1/2
hi, need help on the domain for function[tex]f( \times ) = 5 \times {3}^{x} [/tex]
Answers
Answer: -∞ < x < ∞ or (–∞, ∞) or all real numbers.
Explanation
The domain is all the x values included in the function given. In this case:
[tex]f(x)=5\times3^x[/tex]As we do not have any rational function or any restrictions for the x, then the domain of the function comprises all real numbers ( -∞ < x < ∞).
Hello, I need some help with this homework question, please?HW Q19
Answers
Solution
When looking at a graph, the domain is all the values of the graph from left to right.
[tex]undefined[/tex]The final answer
Option C
Assume that the following statements are true.• Some magicians are jugglers.• All magicians do card tricks.• Jennifer is a juggler.Which conclusion is logically valid?Jennifer is a magician.Jennifer is not a magician.Jennifer does card tricks.Jennifer may or may not do card tricks.
Answers
It is given that "Jennifer is a juggler".
Since it is only stated that ''some magicians are jugglers", it implies that not all jugglers are magicians as there will be some jugglers who will not be magicians.
Hence, since Jennifer is a juggler, she may or may not be a magician.
It was given that "all magicians do card tricks"
Since Jennifer may or may not be a magician, it implies that: Jennifer may or may not do card tricks.
The conclusion that is logically valid is:
Jennifer may or may not do card tricks.
A bag contains 20 balls, some red and some purple. Suppose a student, without looking, chooses a ball out of the bag, records the color and then places the ball back in the bag. The student has recorded 3 red balls and 2 purple balls so far. Using these results, predict the number of red balls in the bag.
Answers
Answer:
12 red balls
Explanation:
The number of balls recorded so far:
• Red = 3
,• Purple = 2
This means that the relative frequency of obtaining a red ball will be:
[tex]\text{ Relative Frequency for Red Ball}=\frac{3}{3+2}=\frac{3}{5}[/tex][tex]\text{ Relative Frequency for Red Ball}=\frac{3}{3+2}=\frac{3}{5}[/tex]Since there are 20 balls in the bag:
[tex]\begin{gathered} \text{ Expected Outcome}=\text{ Relative Frequency}\times\text{ Total Number of Trials} \\ =\frac{3}{5}\times20 \\ =3\times4 \\ =12\text{ red balls} \end{gathered}[/tex]The number of red balls in the bag will be most likely 12.
1. A rectangular room measures 13 feet by 15 feet. It is going to be carpeted with carpeting that sells for $31.50 per SQUARE YARD. (A square yard is 3 feet by 3 feet, or 9 square feet)... So, this carpet sells for 31.50/9 or $3.50 per square foot. d. How many square yards will it take to carpet this room? Round up to the nearest integer.
Answers
The area of the rectangular room = length * breadth
Length = 15 feet
Width = 13 feet
Then the area = 15 x 13 = 195 feet squared.
[tex]\frac{195}{3.50}\text{ = 55.71 square yards}[/tex]What is the surface area of a sphere that has adiameter of 40 cm?
Answers
Surface area S= 4• π• Radius^2
. = 4•π• 40^2
. = π•6400
. = 20106.2
Then answer is
Surface area S= 20106.2 cm2
65 randomly selected students were asked the number of pairs of shoes they have. Let X representthe number of pairs of shoes. The results are as follows:# of Pairs of Shoes 4 5 6 7 8 9 10 11 12Frequency 5 6 12 7 9 7 7 7 5Round all your answers to 4 decimal places where possible.The mean is:The median is:The sample standard deviation is:The first quartile is:The third quartile is:What percent of the respondents have at least 12 pairs of shoes?%0% of all respondents have fewer than how many pairs of shoes?
Answers
Step 1: Write out the formula for computing mean
[tex]\bar{x}=\frac{\sum fx}{\sum f}[/tex]Where x is the variable that represent values and f is the variable that represents frequencies.
Using this formula, we can compute the mean to be 7.8923
Step 2: Compute the median using the given frequency table
The median of a distribution is the middle number of the sorted list of data
In this case the median is 8
Step 3: Compute the standard deviation using the given frequency table
The standard deviation of a data is a measure of how much the numbers in a dataset differs from their mean.
And in this case, the standard deviation is Standard deviation σ = 2.3922
Step 3: Compute the first quartile using the given frequency table
[tex]\sum f=65[/tex]65 ÷ 4 =16.25
So the first quartile Q₁ is between the 16th and 17th number.
The 16th number is 6 and the 17th number is also 6
Therefore,
[tex]Q_1=\frac{6+6}{2}=6[/tex]The first quartile is 6
Step 4: Compute the third quartile using the given frequency table
[tex]\sum f=65[/tex]3(65 ÷ 4) = 48.75
So the first quartile Q₁ is between the 48th and 49th number.
The 48th number is 10 and the 49th number is also 10
Therefore,
[tex]Q_3=\frac{10+10}{2}=10[/tex]The third quartile is 10
Step 4: Compute the percentage of students with at least 12 pairs of shoes
The phrase "at least 12 pairs of shoes" means "12 pairs of shoes or more".
Therefore, the number of students with "at least 12 pairs of shoes" is 5.
The total number of students is 65.
Hence, the frequency is given as
[tex]\frac{5}{65}\times100\text{ \% }\approx7.6923\text{ \%}[/tex]The percentage of students with at least 12 pairs of shoes is 7.6923%
Also,
None of the students has fewer than 4 pairs of shoes.
Therefore, 0% of all respondents has fewer than 4 pairs of shoes
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Write an equation in terms of acts that represents the given statement solve the problem. Six decreased by the product of a number and six is equal to 36 find the number
Answers
Let the unknown number be x.
The product of a number x and 6 can be written as a math expression as:
[tex]\begin{gathered} 6\times x \\ =6x \end{gathered}[/tex]Six decreased by the product of a number and 6 is written as:
[tex]6-6x[/tex]Since it is said that this expression equals 36, it follows that:
[tex]6-6x=36[/tex]Solve the equation for x:
[tex]\begin{gathered} 6-6x=36 \\ \text{Subtract 6 from both sides:} \\ -6x=36-6 \\ -6x=30 \\ \text{Divide both sides of the equation by -6} \\ \frac{-6x}{-6}=\frac{30}{-6} \\ x=-5 \end{gathered}[/tex]Hence, the equation that represents the given statement is:
[tex]6-6x=36[/tex]The solution to the equation is x=-5.
Graph y = 26 - 7y08+7+6+o4-321+++++++ 1 2 3 4 5 6 7 8 9-2-3-4-5+-6+-9-8-7-6-5-4-3-2
Answers
hello
i'll attach an image of the plotted graph here
the graph above represents y = 2x - 7
A triangle has side lengths of 14’48’ in 50 feet classify it as Acute obtuse or right
Answers
Given:
A triangle has side lengths of 14 feet, 48 feet and 50 feet.
Required:
Classify it as Acute obtuse or right.
Explanation:
We will use Pythagoras theorem to check whether angle right angle or not.
We know that hypotenuse side of right triangle always greater than other two sides and sum of square of base and perpendicular height equal square of hypotenuse.
As 50 is the largest side we take it as hypotenuse and 14, 48 as other two sides.
So,
[tex]\begin{gathered} Hypotenuse^2=Base^2+Perpendicular^2 \\ 50^2=48^2+14^2 \\ 2500=2304+196 \\ 2500=2500 \end{gathered}[/tex]Both LHS and RHS equal. Hence, it satisfying Pythagoras theorem.
Answer:
So, triangle is right angled.
I have confused on this. I tried solving it but I was not able to.
Answers
Here, we want to use an indirect proof to show that the two base angles are congruent
For an isosceles triangle, we have two sides that are equal
So what this mean is that AB and AC are equal
Now, particularly, we can see that the angles face the same side length
Since the angles face the side length and the ratio of how large an angle is corresponds to the length of the side it faces, then we can conclude that the two angles are equal since they face equal side lengths