Answer:
Step-by-step explanation:
y
=
−
4
x
+
15
Answer:
y= -4x+15
Step-by-step explanation:
7=-4(2)+b
7=-8+b
15=b
The names of the automobile manufacturer of the car that you drive is what type of variables ( scales of measurement)
The type of variable that represents the names of the automobile manufacturers would be the categorical variable.
What are variables in research work?A variable is defined as the quantity that may change within the context of a mathematical problem, research work or an experiment.
There are various types of variables that include the following:
categorical variables.Nominal variables. Ordinal variables. Numeric variables. Continuous variables. Discrete variables.Learn more about variables here:
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A box of cereal costs $3.59 for 30 oz. Find the unit cost, round to the nearest hundredth. ?
The equations y = –x and y = –2x + 4 are graphed on the coordinate plane below.
Which of the following accurately identifies and verifies the intersection point that satisfies both equations?
The equations y = –x and y = –2x + 4 are graphed on the coordinate plane below.
Which of the following accurately identifies and verifies the intersection point that satisfies both equations?
Both points (0, 0) and (2, 0) satisfy both equations.
The point (0, 0) satisfies both equations.
The point (–4, 4) satisfies both equations.
The point (4, –4) satisfies both equations.
The intersection point that satisfies both equations is (4, -4).
What is Equation ?
In mathematics, an equation is a statement that two mathematical expressions are equal. It consists of two sides, a left-hand side (LHS) and a right-hand side (RHS), separated by an equal sign (=).
The given equations are y = -x and y = -2x + 4.
To find the intersection point, we need to solve these equations simultaneously.
Substitute y = -x into the second equation to get:
-x = -2x + 4
Solving for x, we get:
x = 4
Substitute x = 4 into the first equation to get:
y = -4
Therefore, the intersection point that satisfies both equations is (4, -4).
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Simplify the given poly nominal expressions and determined agree and number of terms in each expression
1. The given polynomial is:
\(4x+2x^2(3x-5)\)Start by applying the distributive property:
\(\begin{gathered} =4x+2x^2\cdot3x-2x^2\cdot5 \\ =4x+6x^3-10x^2 \end{gathered}\)Now, rearrange the terms so that they're written in descending order of exponent:
\(6x^3-10x^2+4x\)The degree of a polynomial is given by the largest exponent, then its degree is 3 and the number of terms is 3.
2. Polynomial:
\((-3x^4+5x^3-12)+(7x^3-x^5+6)\)Start by combining like terms:
\(\begin{gathered} =-3x^4+(5x^3+7x^3)-x^5-12+6 \\ =-3x^4+12x^3-x^5-6 \end{gathered}\)And rearrange the terms in descending order of exponent:
\(-x^5-3x^4+12x^3-6\)The degree is 5 and the number of terms is 4.
3. Polynomial:
\((3x^2-3)(3x^2+3)\)It is the factored form of the difference of two squares:
\((a-b)(a+b)=a^2-b^2\)By replacing the known values we have:
\(\begin{gathered} (3x^2-3)(3x^2+3)=(3x^2)^2-3^3 \\ =9x^4-9 \end{gathered}\)Then the degree is 4 and the number of terms is 2.
Slope intercept form
Given:
The equation of the parallel line is
\(y=-\dfrac{5}{2}x+7\)
The required line passes through the point (-4,1).
To find:
The equation of line in slope slope intercept form.
Solution:
The slope intercept form of a linear function is
\(y=mx+b\)
Where m is slope and b is y-intercept.
On comparing the equation \(y=-\dfrac{5}{2}x+7\) with slope intercept form, we get
\(m=-\dfrac{5}{2}\)
We know that the slopes of parallel lines are always same. So, the slope of the required line is \(m=-\dfrac{5}{2}\).
The line passes through the point (-4,1) with slope \(m=-\dfrac{5}{2}\). So, the equation of line is
\(y-y_1=m(x-x_1)\)
\(y-(1)=-\dfrac{5}{2}(x-(-4))\)
\(y-1=-\dfrac{5}{2}(x+4)\)
\(y-1=-\dfrac{5}{2}x-10\)
Adding 1 on both sides, we get
\(y=-\dfrac{5}{2}x-10+1\)
\(y=-\dfrac{5}{2}x-9\)
Therefore, the correct option is C.
Two line segments are parallel, and each is 8 centimeters long. How many rectangles can be constructed using this information? A. 0 B. 1 C. 2 D. 4 E. infinitely ma
9514 1404 393
Answer:
E. infinitely many
Step-by-step explanation:
The other pair of parallel sides (at right angles to the given sides) can be any length. Infinitely many rectangles can be formed.
Answer:
i think that the corect answer is A.0
Step-by-step explanation:
it is parallel and that means that it wont cross paths
Im not sure how to do this
Answer:
see explanation
Step-by-step explanation:
Since the figures are similar then then corresponding sides are in proportion , that is
\(\frac{NP}{ST}\) = \(\frac{NM}{SR}\) , substitute values
\(\frac{x}{25}\) = \(\frac{18}{30}\) ( cross- multiply )
30x = 450 ( divide both sides by 30 )
x = 15
Similarly
\(\frac{UT}{QP}\) = \(\frac{NM}{SR}\) , that is
\(\frac{y}{15}\) = \(\frac{18}{30}\) ( cross- multiply )
30y = 270 ( divide both sides by 30 )
y = 9
The similarity ratio is the ratio of corresponding sides , that is
\(\frac{NM}{SR}\) = \(\frac{18}{30}\) = \(\frac{3}{5}\)
SRUT is \(\frac{3}{5}\) of NMQP
Question:
Evaluate each expression using the values given in the table.
x -3 -2 -1 0 1 2 3
f(x) -9 -6 -3 -1 3 6 9
g(x) 7 3 0 -1 0 3 7
a. (
g
∘
f
)
(
−
1
)
b.
(
g
∘
f
)
(
0
)
Composite Functions:
This problem involves using the concept of composite functions. A composite function is a function that is written inside another function. We can express this as, f
(
g
(
x
)
)
. Mathematically, it can be understood as the range of f
(
x
)
that is the output values of f
(
x
)
act as the domain of g
(
x
)
The composite function (g∘f)(−1) equals 3, and (g∘f)(0) equals -1.
Given the table of values for functions f(x) and g(x), we can evaluate composite functions (g∘f)(x) by substituting the values of f(x) in g(x).
a. To find (g∘f)(−1), we substitute -1 in f(x) and get f(-1) = -3. Then, we substitute -3 in g(x) and get g(-3) = 3. Therefore, (g∘f)(−1) = 3.
b. To find (g∘f)(0), we substitute 0 in f(x) and get f(0) = -1. Then, we substitute -1 in g(x) and get g(-1) = -1. Therefore, (g∘f)(0) = -1.
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The number of boys and girls in a school are in the ratio 5: 7. What is
the number of girls if 1200 boys are there in the school.
Answer:
There are 1,680 Girls
Step-by-step explanation:
1 ratio = 240
5 ratio = 1,200
7 ratio = 1,680
Therefore, 5:7 = 1,200 : 1,680
[
1
Solve the equation.
y + 3 = y + 9
f
O y= 1
O y = 3
O y = 6
O y = 9
Find the values of a and b
Answer:
a = 14°
b = 36°
Step-by-step explanation:
4b - 12 + 48 = 180 (supplementary)
Rearrange
4b = 180 - 48 + 12
4b = 144
b = 36°
4a - 8 + 4b - 12 = 180 (supplementary)
sub b = 36 into equation
4a - 8 + 144 - 12 = 180
Rearrange
4a = 180 - 144 + 12 + 8
4a = 56
a = 14°
Working on abs do you see them?
Answer:
yes and free points woooooooooooo
Step-by-step explanation:
write 0.578 as a percent?
0.578 can be expressed as a percent if we can multiply the decimal by 100%
Step 1: Multiply 0.578 by 100
To multiply by 100, we simply have to shift the decimal point by the number of zeros (twice)
0.578 x 100 = 57.8%
Answer = 57.8%
Question 1 (1 point)
Willorie Ford moves to Lake Havasu City Arizona to try out a food truck. She sets up shop
under London Bridge and notices that her business is "seasonal".
On December 1, she makes $450 per day.
On March 1, she makes $800 per day.
On June 1, she makes $450 per day.
On September 1, she makes $100 per day.
On December 1, she makes $450 per day.
Estimate how much she would make on certain days and draw a model.
By this model, she would make $
By this model, she would make $
By this model, she would make $
By this model, she would make $
on February 1. (Round to the nearest dollar)
on May 1. (Round to the nearest dollar)
on July 1. (Round to the nearest dollar)
on August 1. (Round to the nearest dollar)
Step-by-step explanation:
2,250 was made in a month
Use numerals instead of words. If necessary, use / for the fraction bar.
ΔABC is an isosceles triangle with AB = BC = 6 UNITS
. D and E are the midpoints of AB AND BC , respectively.
The length of AC is 8 units. The length of DE is __
units.
Answer:
Step-by-step explanation:
DE = \(\frac{1}{2}\)AC = 4 units
Answer:
Given:-
AB = AC
Also , BD and CE are two medians
Hence ,
E is the midpoint of AB and
D is the midpoint of CE
Hence ,
1/2 AB = 1/2AC
BE = CD
In Δ BEC and ΔCDB ,
BE = CD [ Given ]
∠EBC = ∠DCB [ Angles opposite to equal sides AB and AC ]
BC = CB [ Common ]
Hence ,
Δ BEC ≅ ΔCDB [ SAS ]
BD = CE (by CPCT)
Step-by-step explanation:
4 units hope this helps... and pls mark me as brainliest if u want
Which of the following shows the extraneous solution to the logarithmic equation? log Subscript 4 Baseline (x) log Subscript 4 Baseline (x minus 3) = log Subscript 4 Baseline (negative 7 x 21).
By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution.
What is Extraneous solutions?
The extraneous solutions are the solutions that does not work in the original equation.
Original equation
\($\log _{4}(x)+\log _{4}(x-3)=\log _{4}(-7x+21)$\)
Now we will simplify this
\(\log _{4}(x(x-3))=\log _{4}(-7 x+21)$\\\\x(x-3)=-7 x+21\\\\&x^{2}-3 x=-7 x+21 \\\\\\&x^{2}-3 x+7 x-21 =0\\\\&x^{2}+4 x-21=0\\\\\\&x^{2}-3 x+7x-21=0\\\\\\(x-3)(x+7)=0\\x=3,-7\)
Now, we will determine the extraneous solution, by substituting x=3 and x=-7 in the originally given equation.
Substituting x=3,
\(\log _{4}(3)+\log _{4}(3-3)=\log _{4}(-21+21) \\\\\log _{4}(3)+\log _{4}(0)=\log _{4}(0)\)
As we know log(0) is undefined , Hence x=3 is extraneous solution
Now Substituting x=-7
\(\log _{4}(-7)+\log _{4}(-7-3)=\log _{4}(-7(-7)+21)\\\\\log _{4}(-7)+\log _{4}(-10)=\log _{4}(-28)\)
As we know log is not defined for negative numbers hence x=-7 is extraneous solution
By solving the given equation and then substituting solution in original equation we found out that x=3 and x=-7 are extraneous solution
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ILL GIVE BRAINLYIST AND ALL MY POINTS IF THIS GETS ANSWERD JUST HURRY!!!!
A group of students were surveyed to find out if they like bike riding and/or roller skating as a hobby. The results of the survey are shown below:
80 students like bike riding
20 students like bike riding but do not like skating
90 students like skating
40 students do not like bike riding
Make a two-way table to represent the data and use the table to answer the following questions.
Part A: What percentage of the total students surveyed like both bike riding and skating? Show your work. (5 points)
Part B: What is the probability that a student who does not like bike riding also does not like skating? Explain your answer. (5 points)
Answer:
0.261
Step-by-step explanation:
gimme brainliest
The number 1.725 appears in the t chart corresponding to 20 degrees of freedom and aType I error value of 5%. Write down a deductive statement (that is, starting with the word "If")indicating how the number 1.725 was derived. (You do not have to discuss any mathematicalcalculation, which is indeed very difficult. Just outline the nature of the deductive statement.)
If a t-distribution with 20 degrees of freedom is used to test a hypothesis with a Type I error value of 5%, then the critical t-value corresponding to the given significance level is 1.725.
The critical t-value is the value beyond which we reject the null hypothesis in a t-test. The value is determined by the significance level (Type I error) and the degrees of freedom.
In this case, with a significance level of 5% and 20 degrees of freedom, the critical t-value is 1.735. This means that if the calculated t-value for a sample falls beyond 1.735, we reject the null hypothesis at the 5% level of significance.
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the total number of shares in abc corp is 750,000. henry owns 17% of the shares. how many shares of abc corp stocks does he own
The total number of shares is 750000
Henry owns 17%
percentage is expressed in terms of 100
Thus, the number of shares that he owns is
17/100 * 750000
= 127500
a student learns that she is ranked in the 85th percentile on her college entrance exams. this means that
If a student is ranked in the 85th percentile on their college entrance exams, it means that they scored better than 85% of the other students who took the same exam.
In other words, only 15% of the students who took the exam scored higher than this student. This is a good achievement and suggests that the student is likely to be competitive in the college application process.
A percentile is a statistical metric that shows the proportion of a dataset's values that are equal to or lower than a given value. For instance, the dataset's 75th percentile implies that 75% of the values are equal to or lower than that number.
In the case of the request for the "percentile 100 words," it appears to be a misunderstanding or an incomplete query. In order to produce a useful response, the term "percentile" often needs more details, such as the dataset or the particular value of interest. Could you please elaborate on your point or make your inquiry more clear?
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how to determine if a function crosses the horizontal asymptote
To determine if a function crosses the horizontal asymptote, analyse the behavior of the function as it approaches the asymptote and on either side of it.
1. Identify the horizontal asymptote of the function. The horizontal asymptote is a horizontal line that the function approaches as the independent variable (usually denoted as x) goes to positive or negative infinity. It is often denoted by a horizontal line y = a, where "a" is a constant.
2. Examine the behavior of the function as x approaches positive infinity. Evaluate the limit of the function as x goes to positive infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. However, if the limit does not equal the asymptote, move to the next step.
3. Examine the behavior of the function as x approaches negative infinity. Evaluate the limit of the function as x goes to negative infinity. If the limit is equal to the value of the horizontal asymptote, then the function does not cross the asymptote. If the limit does not equal the asymptote, proceed to the next step.
4. Investigate the behavior of the function around critical points or points where the function changes its behavior. These points may include the x-intercepts or vertical asymptotes. Determine if the function crosses the asymptote around these points by analyzing the behavior of the function in their vicinity.
If, at any point in this process, the function crosses the horizontal asymptote, then it does not have a true horizontal asymptote. However, if the function approaches the asymptote and does not cross it at any point, then it has a horizontal asymptote.
It's important to note that some functions may have multiple horizontal asymptotes or no horizontal asymptote at all. The steps outlined above are a general guideline, but the specific behavior of the function needs to be analyzed to make a conclusive determination.
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PLSSS HELP IF YOU TURLY KNOW THISS
On simplifying the given expression the no. that goes in green box is -7
The rule of addition of two numbers
(+) (+) = (+)adding two positive integers result in positive integer.
(-)(-) = (+)adding two negative integers results in the sum with a negative sign.
(+)(-) = (-) (-)(+) = (-)addition of two different signed Integer will result in subtraction only and the sign of the result is same as the larger number sign.
so
2 + 16x - 9 - 10x
6x + [-7] HERE [ 2 + (-9) = -7 ]
On simplifying the given expression the no. that goes in green box is -7
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Solve for a
T
U
4x 10
12x + 151
S
Answer:
x = 10
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
12x + 15 is an exterior angle of the triangle , then
12x + 15 = 4x + 10 + 85 , that is
12x + 15 = 4x + 95 ( subtract 4x from both sides )
8x + 15 = 95 ( subtract 15 from both sides )
8x = 80 ( divide both sides by 8 )
x = 10
HELP ASAPP
Match the fraction with the correct placement on the number line.
hi. so if you still need help, I can probably help you but I can't see anything on the photo. anyways enjoy your day
For the inverse variation function y = k/x (where x, k > 0), what happens to the value of y as the value of x increases? a. Increases c. Increases then decreases b. Decreases d. Decreases then increases.
If the value of x increases then the value of y decreases. Then the correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
For the inverse variation function
\(\rm y = \dfrac{k}{x}\) (where x, k > 0),
We know that the y is inversely proportional to the x.
Thus, if the value of x increases then the value of y decreases.
Therefore, the correct option is B.
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Helpppp
Graph the quadratic function y 9x Ox 140. What are the solutions of the quadratic equation 0 - 0 - 6x
140?
Answer:
Answer:bf
Step-by-step explanation:
Help please. The question about bananas.
Which of the following is true about k-means clustering Group of answer choices A tree diagram is used to illustrate the steps in the clustering analysis We choose the value for k before doing the clustering analysis It is a type of hierarchical clustering The cluster analysis will give us an optimum value for k In a cluster analysis, the distance between the clusters should be: Group of answer choices Maximized Minimized Even Zero THANK YOU :)
Prior to performing the clustering analysis, we select the value for k, the statement regarding k-means clustering is accurate and the minimum distance between the clusters should be used.
Data is divided into groups (clusters) using cluster analysis that is relevant, practical, or both. If creating meaningful groups is the goal, the clusters should reflect the data's inherent structure. However, cluster analysis can occasionally merely serve as a valuable starting point for other tasks, including data summarization. In a wide range of disciplines, including biology, statistics, pattern recognition, information retrieval, machine learning, and data mining, cluster analysis has long been crucial, whether for understanding or usefulness. Cluster analysis has been used to solve numerous practical issues.
Hartigan (1975, pp 90-91) provides the following general guideline when determining the number of clusters. When (sum(k$withinss)/sum(kplus1$withinss)-1)*(nrow(x)-k-1) is more than 10, it is justified to add the extra group if k is the result of k-means with k groups and kplus1 is the result with k+1 groups.
As a result, choice B is the appropriate response.
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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
3.
-5 and 5
Answer:
Solution given
4x²-100=0
4x²=100
x²=100/4
x=\(\sqrt{25}\)
x=±5
Simulate this function in MATLAB
M(x, y) = 1, if x² + y² ≤R ² 2 O, if x² + y² > R²
By running the script or calling the function with different values of x, y, and R, you can simulate the behavior of the given function and determine its output based on the conditions specified.
Here's a MATLAB code snippet that simulates the function M(x, y):
function result = M(x, y, R)
if x^2 + y^2 <= R^2
result = 1;
else
result = 0;
end
end
To use this function, you can call it with the values of x, y, and R and it will return the corresponding result based on the conditions specified in the function.
For example, let's say you want to evaluate M for x = 3, y = 4, and R = 5. You can do the following:
x = 3;
y = 4;
R = 5;
result = M(x, y, R);
disp(result);
The output will be 1 since x^2 + y^2 = 3^2 + 4^2 = 25, which is less than or equal to R^2 = 5^2 = 25.
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