Answers
Answer:
A.
\( \frac{ {7x}^{2} - 5x + 1}{4x + 1} \)
Step-by-step explanation:
Since the denominators are the same we just have to combine the top.
\( {x}^{2} - 5x + {6x}^{2} + 1\)
Combine alike terms.
\( {7x}^{2} - 5x + 1\)
put that over our denominator.
\( \frac{ {7x}^{2} - 5x + 1 }{4x + 1} \)
Related Questions
Suppose we are minimizing the objective function value of a linear program. The feasible region is defined by 5 corner points. The objective function values at the five corner points are 4, 11, 7, 4, and 10. What type of solution do we have for this problem?.
Answers
The linear program shows that there are different attainable arrangements that accomplish the same ideal objective function value..
How to determine the solution to the objective function value of a linear programBased on the given data, since the objective function values at the five corner points are diverse, able to conclude that there's no one-of-a-kind ideal arrangement for this linear program.
The reality that there are numerous distinctive objective function values at the corner points suggests that there are numerous ideal arrangements or that the objective work isn't maximized or minimized at any of the corner points.
In this case, the linear program may have numerous ideal arrangements, showing that there are different attainable arrangements that accomplish the same ideal objective function value.
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To isolate the variable on one side of the equal sign, divide both sides of the equation by .
Answers
To isolate the variable on one side of the equal sign, divide both sides of the equation by the coefficient of the variable.
Compare the steepness of the following functions. How does F3 compare to F1
Answers
Answer:
Function 3 is less steep.
Step-by-step explanation:
The steepness of a linear function is determined by its coefficient of x.
Since the coefficient of x in \(f_3(x)\), 0.5, is smaller than that of \(f_1(x)\), 2, function 3 is less steep than function 1.
Significance of the coefficient of x
We can think of the function as an equation of a line in the slope-intercept form. That is, y= mx +c, where m is the slope and c is the y-intercept.
Steepness and value of x
The larger the numerical value of m, the steeper the line is.
Significance of the sign of x
The sign (positive or negative) of m tells us the direction in which the line is sloping towards. A positive m value gives us a line sloping upwards from left to right, while a negative m value gives us a line that is sloping downwards from left to right.
Additional:
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En un modelo de un castillo, 1 pulgada equivale a 83 pies. El modelo mide 10.5 pulgadas de ancho. ¿Cual es el ancho real del castillo?
Ayúdenme porfavo ;w;
Answers
Responder:
1" = 83 ft
10.5" = 83*10.5=871.5 ft
Explicación paso a paso:
Espero que esto te ayude ¡UwU! Saludos, Jaclyn
Determine whether the variable is qualitative or quantitative. Explain your reasoning. favorite city
Answers
Answer:
Qualitative variable.
See explanation below.
Step-by-step explanation:
In research we have two types of variables: the quantitative and the qualitative variables.
A quantitative variable is a variable that is a number, for example: age, height, number of years of school. These type of variables are only numbers.A qualitative variable is a variable that is not a number but rather a category of data. For example: your name, your gender, your favorite food. All these examples are not numbers but categories.In this example we are asked about our favorite city, we can see that the possible answers for this question are: Dallas, Seattle, Washington, Paris, etc.. these are not numbers so therefore this is an example of qualitative variable.
What is the range of f?
O -15≤x≤35
Oy > 15
Oy> 35
O all real numbers
Answers
The possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.What is the range of a function f(x)?The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.
In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:
y > 15.y > 35.all real numbers.More can be learned about the range of a function at https://brainly.com/question/28015028
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Please help I’m stuck
Answers
Answer: any negative value
Step-by-step explanation:
g(x)= ax², inc on x<0 & dec on x>0
Firstly we need to get the derivative of g(x)
g'(x)=2ax
for inc interval g'(x) should be +ve
x<0 (i.e. x= -ve), then a must be -ve
for dec interval g'(x) should be +ve
x>0 (i.e. x= +ve), then a must be -ve
so in both cases a must be a negative constant
For a survey based on 2,700 adults, what is the approximate margin of error? (round your answer to the nearest thousandth.)
Answers
The approximate margin of error for a survey based on 2,700 adults, when rounded to nearest thousand is 0.021.
In statistical surveys, the margin of error is a measure of the expected amount of random sampling error that is present in a survey's results. It is a range of values that is likely to contain the true value of the population parameter being estimated, with a certain degree of confidence.
In other words, the margin of error is the amount by which the sample estimate may differ from the true value of the population parameter.
The margin of error is affected by several factors, such as the size of the sample and the level of confidence. A larger sample size typically results in a smaller margin of error because larger samples provide more accurate estimates of the population parameter.
Similarly, a higher level of confidence requires a larger margin of error, since the interval of values that could contain the true population parameter becomes wider as the level of confidence increases.
Assuming a 95% level of confidence, the formula for calculating the margin of error is:
Margin of error = z * sqrt(p * (1 - p) / n)
where:
z is the z-score for the desired level of confidence (1.96 for 95%)
p is the sample proportion, which is the proportion of the sample that exhibits a particular characteristic of interest (e.g., the proportion of respondents who support a certain political candidate)
n is the sample size, which is the number of observations in the sample.
If the sample proportion is not known, it is common to use a value of 0.5, which corresponds to the maximum possible margin of error for a given sample size. This is because the maximum sampling error occurs when the sample proportion is closest to 0.5, which gives the least amount of information about the true population parameter.
To calculate the margin of error for a survey of 2,700 adults, we can assume a sample proportion of 0.5 and a 95% level of confidence. Plugging these values into the formula, we get:
Margin of error = 1.96 * sqrt(0.5 * (1 - 0.5) / 2700)
= 1.96 * sqrt(0.25 / 2700)
= 1.96 * 0.008
= 0.016
Rounding to the nearest thousandth, the approximate margin of error is 0.021. This means that we can expect the survey results to be within plus or minus 2.1 percentage points of the true population parameter, with a 95% level of confidence.
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Write the equations for the lines parallel andperpendicular to the given line j that passesthrough Q. 26. y = - 4x + 1; Q(6, -1)
Answers
We are given the following:
\(\begin{gathered} y=-4x+1 \\ It\text{ passes through Point Q} \\ Q(6,-1) \end{gathered}\)The general equation of a linear function is given by:
\(\begin{gathered} y=mx+b \\ where\colon m=slope,b=y-intercept \end{gathered}\)From the equations above, we deduce that:
\(\begin{gathered} y=-4x+1 \\ \Rightarrow m=-4 \\ \Rightarrow b=1\ln \\ \\ \therefore Slope(m)=-4,y-intercept(b)=1_{} \end{gathered}\)Two lines are considered parallel if they have an equal slope/gradient
We were given the Point Q. We will proceed to substitute the value of Q into the equation of the line. We have:
\(\begin{gathered} y=mx+b \\ (x,y)=Q(6,-1) \\ \Rightarrow-1=-4(6)+b \\ -1=-24+b \\ \text{Add ''-2'' to both sides, we have:} \\ 23=b \\ b=23 \\ \text{Substitute the value of ''b'' into the }original\text{ equation, we have:} \\ y=-4x+23 \\ \\ \therefore The\text{ equation of the parallel line is }y=-4x+23 \end{gathered}\)Therefore, the quation of the parallel line is }= - 4x+ 2 3$
Two lines are considered to be perpendicular if their slopes are the negative reciprocal of one other
Mathematically represented as:
\(\begin{gathered} m(perpendicular)=-\frac{1}{m} \\ m=-4 \\ \Rightarrow m\mleft(perpendicular\mright)=\frac{-1}{-4}=\frac{1}{4} \\ m\mleft(perpendicular\mright)=\frac{1}{4} \\ \\ \therefore m\mleft(perpendicular\mright)=\frac{1}{4} \end{gathered}\)The equation for the line perpendicular is given as:
\(\begin{gathered} y=mx+b \\ But\colon m=m\mleft(perpendicular\mright)=\frac{1}{4} \\ \Rightarrow y=\frac{1}{4}x+b \\ (x,y)=Q(6,-1) \\ -1=\frac{1}{4}\cdot6+b \\ -1=\frac{6}{4}+b \\ -1=\frac{3}{2}+b \\ \text{Subtract ''}\frac{3}{2}\text{'' from both sides, we have:} \\ -1-\frac{3}{2}=b \\ -\frac{5}{2}=b \\ b=-\frac{5}{2} \\ \text{Substitute the value of ''b'' into the equation, we have:} \\ \Rightarrow y=\frac{1}{4}x-\frac{5}{2} \\ \\ \therefore The\text{ equation of a line perpendicular is }y=\frac{1}{4}x-\frac{5}{2} \end{gathered}\)Therefore, the equation of the parallel line is y = 1/4x - 5/2
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?
Answers
Answer:
2\(\pi\) \(units^{2}\)
Step-by-step explanation:
BC is equal to 4 because 5*4=20.
The radius is 2. The equation for the area of a circle is \(\pi r^2\).
Therefore, if we plug in 2 we will get \(4\pi\).
But then we divide by 2 to get 2\(\pi\) \(units^{2}\) as our answer.
Hope this helped! :)
What is the explicit formula for the sequence 12,112,212,312,412
Answers
The explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.
The explicit formula for the given sequence is:
a_n = 100n + 12
In the given sequence, each term is obtained by adding 100 to the previous term. The first term is 12, and each subsequent term is obtained by adding 100 to the previous term.
Using the formula, we can calculate any term in the sequence by substituting the corresponding value of n. For example:
a_1 = 100(1) + 12 = 112
a_2 = 100(2) + 12 = 212
a_3 = 100(3) + 12 = 312
a_4 = 100(4) + 12 = 412
Therefore, the explicit formula for the sequence 12, 112, 212, 312, 412 is a_n = 100n + 12.
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Shelly biked 21 miles in 4 hours what is shellys average speed per hour?
Answers
Answer:
The average speed per hour of Shelly is 5.25 minutes.
Step-by-step explanation:
We can do proportion to solve this.
\( \frac{21 \: miles}{4 \: hours} = \frac{x}{1 \: hour} \\ \frac{4x}{4} = \frac{21}{4} \\ x = 5.25\)
Select the statement that describes this expression: 8 + one half x (6 – 2) – 1.
Answers
Answer:
B).
Step-by-step explanation:
Add 8 to half the difference of 6 and 2 then subtract 1.
Answer:
I apologize but I haven't worked for an answer. but my mind is, what is the point of this question? everyone is familiar with the "when am I ever going to use this in life and why do I need to learn this?" but this is a whole new level of w t f.
please hurry up and answer
Answers
Answer:
y = 2x + 8
Hope this helps
What’s the square root of √125
Answers
Answer: \(5\sqrt 5\)
Step-by-step explanation:
Sol \(\sqrt 125\) = \(\sqrt{25.5}\)
= \(\sqrt{25}\) x \(\sqrt{5}\)
\(5 \sqrt{5}\)
HELP ME PLEASE Urgently !!!!
Answers
Answer:
The best bet would be x=40
Step-by-step explanation:
Albinism in humans is autosomal and fully recessive to normal color. A couple, who are both normal, have a daughter who is albino and a son who is normal. The couple wants to have 3 more children. What is the probability that they will have 3 normal girls?
Answers
The probability that the couple will have 3 normal girls is approximately 0.422
Since both parents are normal, they both have to be heterozygous carriers for the recessive allele that causes albinism. We can represent the normal allele with the letter N and the albino allele with the letter n. Then, we can write the genotypes of the parents as Nn x Nn.
The daughter is albino, so her genotype must be nn. The son is normal, so his genotype must be Nn.
We want to find the probability that the couple will have 3 normal girls. We can use the multiplication rule of probability to find this probability:
P(3 normal girls) = P(normal girl) x P(normal girl) x P(normal girl)
The probability of having a normal girl is 3/4 since there are three possible genotypes that result in a normal phenotype (NN, Nn, Nn) out of a total of four possible genotypes. The probability of having a normal boy is also 3/4, for the same reason.
Therefore, the probability of having 3 normal children (in this case, girls) is:
P(3 normal girls) = (3/4) x (3/4) x (3/4) = 27/64 ≈ 0.422
So, the probability that the couple will have 3 normal girls is approximately 0.422, or about 42.2%.
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Median of 3,6,9,7,4,6,7,0,7
Answers
The median, mean, range and mode will be 6, 5.4, 9 and 7.
What is median?
The median is the middle number in the data set when the data set is written from least to greatest.
The median is the number in the middle when arranged in an ascending order. The numbers will be:
0, 3, 4, 6, 6, 7, 7, 7, 9.
The median is 6.
The range is the difference between the highest and lowest number which is: = 9 - 0 = 9
The mode is the number that appears most which is 7.
The mean will be the average which will be:
= (0 + 3 + 4 + 6 + 6 + 7 + 7 + 7 + 9) / 9.
= 49/9
= 5.4
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Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answers
Answer:
D
Step-by-step explanation:
The radius of a circle is 7 inches. What is the circle's circumference?
Use 3.14 for
Answers
Answer:
43.96
Step-by-step explanation:
2 x 7 x 3.14 = 43.96
Answer:
44 rounded to nearest whole.
\(C = 2\pi r = 2 * \pi * r(7) = 44~in\)
On the past two quizzes, a student scored a 75 and 83. Write and solve a compound inequality to find the possible values for the 3rd quiz score that would give her an average between 85 and 90, inclusive.
Answers
The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.
How to determine the average?In Mathematics, the average of these quiz scores can be calculated by using the following formula:
Average = Sum of quiz score/Number of quiz scores
Note: Let the variable q represent the student's score on the third (3rd) quiz.
Substituting the given parameters into the formula, we have the following;
Average = (75 + 83 + q)/3
Average = (158 + q)/3
This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:
85 ≤ (158 + q)/3 ≤ 90
Multiplying all through by 3, we have the following:
255 ≤ (158 + q) ≤ 270
Subtracting 158 from both sides of the inequality, we have the following:
97 ≤ x ≤ 112
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HELPP PLEASEE!!! FIRST ONE TO ANSWER GETS BRAINLEST!!!!
A square pyramid is shown. What is the surface area of the pyramid? Enter your answer in the box.
4 cm
3 cm
3 cm
cm2
Answers
Answer:
33cm squared
Step-by-step explanation:
Answer:
33cm
Step-by-step explanation:
a lorry travels at a speed of 54km/he how far does it go in 1minutes?
Answers
Answer:
PLEASE MARK AS BRAINLIEST
Step-by-step explanation:
Speed per hour = 54 km
We have to find Speed per minute
For that...
60 minutes ---- 54 km(cuz, 1 hr = 60 minutes
1 minute -----?
=54/60 km/minute
=9/10 km/minute
= 0.9 km/minute
SO THE LORRY WILL TRAVEL 0.9 KM IN A MINUTE
which grows at the fastest rate for increasing values of x
\(f(x)=4*2^x\\h(x)=9x^2+25\\\\g(x)=15x+6\)
Answers
The function that grows at the fastest rate for increasing values of x is f(x) = 4×2ˣ.
We can see this by comparing the growth rates of the three functions for larger and larger values of x.
As x gets larger, the exponential function f(x) grows much faster than the other two functions, which are both polynomial functions.
if we plug in x = 10, we get:
f(10) = 4×2¹⁰ = 4×1024 = 4096
h(10) = 9×10² + 25 = 925
g(10) = 15×10 + 6 = 156
As we can see, f(10) is much larger than h(10) and g(10), indicating that f(x) grows at a much faster rate than the other two functions.
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Listed below is a table showing the number of employees. 20 years or older by gender in the United states
Answers
The total number of workers that were studied can be found to be 139,340,000.
The percent of workers unemployed would be 5. 4 %.
Percentage of unemployed men is 5. 6 % and unemployed women is 5. 1%.
How to find the employment figures ?Number of employed workers :
= 74,624,000 + 64, 716, 000
= 139,340,000
Percentage unemployed :
= ( 4, 209,000 + 3,314,000 ) / 139,340,000
= 5. 4 %
Percentage of unemployed men :
= 4,209,000 / 74,624,000
= 5.6 %
Percentage of unemployed women:
= 3,314,000 / 64, 716, 000
= 5. 1 %
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The full question is:
a. How many workers were studied?
b. What percent of the workers were unemployed?
c. Compare the percent unemployed for the men and the women.
What are the TERMS in the expression: 7x − 5y − x + 6
A: 7, 5 and 6
B: 7x, 5y, x, and 6
C: x, and y
Answers
Answer: B i think
Step-by-step explanation:
A term can be a number, a variable, product of two or more variables or product of a number and a variable. An algebraic expression is formed by a single term or by a group of terms.
How to solve this 75,465(7)
Answers
Based on context clues or what's been given,
Parenthesis indicate multiplication.
75,465 * 7
Now calculate:
528,255
Answer: 528,255
Step-by-step explanation:
u just multiply 75,465 by 7 and you get 528,255
if there is a number next to another number that is inside the parentheses then that means you multiply the numbers together
for example: 12(3) means multiply 12 by 3 and u get 36
8th grade math, please help.
I’ll give you brainliest if you want.
-Find the volume-
Answers
Answer:
113.10
Step-by-step explanation:
Answer:
how to make sugar cookies :)
Step-by-step explanation:
2 ¾ cups all-purpose flour
1 teaspoon baking soda
½ teaspoon baking powder
1 cup butter, softened
1 ½ cups white sugar
1 egg
1 teaspoon vanilla extract
Easy math help picture below problem 4
Answers
Answer: is 126 degrees
Step-by-step explanation:
A function f(x) is an EVEN function. If f(2) = -5, which other point must be on the graph of f(x) ?
Answers
Answer:
Step-by-step explanation:
If f(x) is an even function, that means it has symmetry across the y-axis. In other words, if (a,b) is a point on the graph of f(x), then (-a,b) must also be on the graph.
We are given that f(2) = -5. Since 2 is a positive number, we know that (-2) is the corresponding negative value that also lies on the y-axis. Therefore, we can say that f(-2) = f(2) = -5.
So, the other point that must be on the graph of f(x) is (-2,-5).