7. Which function has -5 as its only zero?
A. f(x)=(x - 1)(x + 5)
B. f(x) = x(x + 5) C. f(x)=(x – 5)2
D. f(x)=(x + 5)2
The ratio of hotdogs sold to hamburgers sold was 10:7.
If 120 hotdogs were sold, how many hamburgers were sold?
Answer:84
Step-by-step explanation:
Answer:
84 hamburgers were sold
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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Yuko added a 15 percent tip when she paid her cab driver. If the fare was $25.50, what was the total amount she paid? A. $28 B. $30 C. $31
Answer:
B. $30
Step-by-step explanation:
First, find the amount of the tip.
Multiply the tip rate and taxi fare.
tip rate * taxi fare
The tip rate is 15% and the taxi fare is $25.50
15% * 25.50
Convert 15% to a decimal. Divide 15 by 100 or move the decimal place two spots to the left.
15/100=0.15
15.0 ---> 1.5 ---> 0.15
0.15 * 25.50
3.825
The tip amount is $3.825
Next, find the total amount she paid.
Add the taxi fare and the tip amount.
taxi fare + tip amount
The taxi fare is $25.50 and the tip amount is $3.825
$25.50 + $3.825
$29.325
Round to the nearest dollar. Typically, this would round down to $29, but that is not an answer choice. So, if we round up, the next best answer is $30.
Therefore, the best answer choice is B. $30
Describe the end behavior of each linear function
Answer:
?????????
Step-by-step explanation:
Hunter surveys a random sample of 64 students at his community college and finds that
37.5% of the students saw a film at the local movie theater in the last 30 days. Find a 90% confidence interval for the proportion p of all students at the community college who saw a film at the movie theater in the last 30 days.
We can be 90% confident that the true proportion of all students who saw a film at the movie theater in the last 30 days is between 0.277 and 0.473.
What is proportion?
Proportion is a mathematical term that represents a relationship between two quantities or numbers. It refers to the comparison of one part of a whole to the whole itself.
To find a confidence interval for the proportion p of all students who saw a film at the movie theater, we can use the formula:
CI = p ± z * √(p(1-p)/n)
where p is the sample proportion, n is the sample size, z is the z-score corresponding to the desired level of confidence (90% in this case), and √(p(1-p)/n) is the standard error of the proportion.
First, we need to find the sample proportion p:
p = 37.5% = 0.375
Next, we need to find the z-score corresponding to a 90% confidence level. We can use a z-table or a calculator to find this value. The z-score for a 90% confidence level is 1.645.
Now we can plug in the values into the formula:
CI = 0.375 ± 1.645*√(0.375(1-0.375)/64)
Simplifying:
CI = 0.375 ± 0.098
Therefore, the 90% confidence interval for the proportion of all students who saw a film at the movie theater in the last 30 days is:
CI = (0.277, 0.473)
Hence, we can be 90% confident that the true proportion of all students who saw a film at the movie theater in the last 30 days is between 0.277 and 0.473.
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Help with this, thank you
The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.
What are perpendicular lines?In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).
From the information provided above, the slope for the equation of line m is given by:
x - 2y = -8
2y = x + 8
y = x/2 + 4
slope (m) of line m = 1/2
In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:
m₁ × m₂ = -1
1/2 × m₂ = -1
m₂ = -2
Slope, m₂ of perpendicular line = -2
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niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answer:
Step-by-step explanation: here I am pretty sure it is 6
The alphabet of a fictionary tribe consists of three letters: A, O and M. Any combination of no more than four of these letters is considered a word. How many words are does this tribe's language have?
Answer:
120 different words
Step-by-step explanation:
The max longest word has 4 letters
So the word can consist of 1 letter. The number of such wordds is 3 (A,O or M)
The word can consist also of 2 letters ( letters can be repeated in the word-
the word like AA or MM are possible). The number of such words is 3*3=9
The word can consist also of 3 letters ( letters can be repeated in the word-
the word like AMA or MMM are possible). The number of such words is 3*3*3=27
The word can consist also of 4 letters ( letters can be repeated in the word-
the word like AAAA or MAOM are possible). The number of such words is 3*3*3*3=81
So total number of words is 3+9+27+81=120
Can someone please help
Answer:
X= 8
Step-by-step explanation:
the whole tree shadow length is 16ft
john's length is 6ft
and john's shadow is 12ft
by using the equation
X/6 = 16/12
X = 8
i need help on this question for my math homework:))) please help!
The density curve below represents the number of minutes after Naledi's alarm clock rings that she rises from bed.
Answer:
BOTH A and C
Step-by-step explanation:
Naomi and Kaito have more string instruments than any other type. Naomi wants to summarize the string instrument data using subtotals to show the value of each type. Switch to the Strings worksheet and add subtotals as follows: a.Sort the table by the Instrument field in ascending order. b. Convert the table to a normal range. c.Insert subtotals into the range B2:G12, with the subtotals appearing at each change in the Instrument column value. The subtotals should use the SUM function and include subtotals for the Price and Est. Value fields.
Click on the data tables in the strings worksheet. Sort the data by clicking the Data tab on the ribbon.
b. Right-click on the data to be selected, choose the Table option, and then choose Convert to Range. You ought to be able to change it to fall within the typical range.
c. After choosing the B2:G12 data range, go to the Design tab, click on Subtotal, and then add any necessary subtotals.
What are string instruments?Generally, string instruments are musical instruments that produce sound by vibrating strings. The strings are typically stretched between two points, and they can be plucked, bowed, or struck to produce sound.
Guitar: A fretted string instrument that is played by plucking or strumming the strings with the fingers or a pick.
Violin: A bowed string instrument that is played with a bow made of horsehair.
Cello: A bowed string instrument that is larger than the violin and produces lower pitches.
Double bass: The largest and lowest-pitched bowed string instrument, which is often used in orchestras.
Harp: A plucked string instrument that has a frame with many strings of varying lengths.
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3.) The line which is the graph of y = 2x -4 is transformed by the rule (x,y) (-x, -y). What is the
slope of the image?
The slope of the image of the original line y = 2x - 4 after the transformation (x,y) (-x, -y) is -2.
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of the original line y = 2x - 4 is 2.
To find the slope of the image after the transformation, we can apply the transformation rule to two points on the original line, and then find the slope of the line passing through the images of those two points.
Let's choose two points on the original line:
Point 1: (0, -4)
Point 2: (1, -2)
Now we apply the transformation rule to each of these points:
Point 1 image: (-0, -(-4)) = (0, 4)
Point 2 image: (-1, -(-2)) = (1, 2)
The images of these two points lie on the line y = -2x + 4. The slope of this line is -2.
Therefore, the slope of the image of the original line y = 2x - 4 after the transformation (x,y) (-x, -y) is -2.
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In 2010, the mean starting salary for college graduates who major in Statistics was $54000. An analyst for a job searching company claims that the mean starting salary has since increased. In a random sample of 40 job posting requiring knowledge of Statistics, the mean starting salary was $63500 with a standard deviation of $10540. Test the claim using a significance level of 0.05.
Our calculated t-value of \(4.22\) is greater than the critical t-value of 1.684, we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.
How can we Test the claim using a significance level of \(0.05\)?We can use a one-sample t-test to test the claim that the mean starting salary for college graduates who major in Statistics has increased.
The null hypothesis is that the mean starting salary is still $\(54000\), while the alternative hypothesis is that the mean starting salary is greater than $\(54000\).
We can calculate the t-statistic as:
t = (sample mean - null hypothesis value) / (standard error of the mean)
= \((63500-54000)/(10540/\sqrt{40}\)
= \(4.22\)
where \(\sqrt{40}\) is the sample size.
The degrees of freedom for the t-test is \((n-1) = 39\), where n is the sample size.
Using a t-table or calculator with \(39\) degrees of freedom, a one-tailed test, and a significance level of \(0.05\), we find the critical t-value to be \(1.684\)
Since our calculated t-value of \(4.22\) is greater than the critical t-value of \(1.684\), we reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the mean starting salary for college graduates who major in Statistics has increased.
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Henry correctly factored 42? + 52 - 6 as (4% - 3)(₴ + 2)
• He then claimed that the zeros of that quadratic function are located at
*=-=
and r = 2 . Did Henry correctly find the zeros of the function?
O Yes, Henry correctly found the zeros of the function.
O No, the zeros of the function are at x = 4 and =-2
• No, the zeros of the function are at z = - 5 andx = 2.
• No, the zeros of the function are at & = 4 and ≥ = -2
I attached the question and answer choices
Please help
Answer:
No, the zeros of the function are at x = 3/4 and x = –2
Step-by-step explanation:
the equation
4x² + 5x – 6 = 0
(note: since there is a coefficient of x² we need to multiply it to the last term(6))
4x² + 5x – 24 = 0
the factors are :- 8x and – 3x
4x² + 8x – 3x – 6 = 0
4x( x + 2) –3( x + 2) = 0
( 4x – 3)( x + 2) = 0
the zeros will be
4x – 3 = 0
4x = 3
\(x = \frac{3}{4} \)
x + 2 = 0
x = – 2
the zeros are x= 3/4 or –2
i hope this helps
-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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jason drove for three hours at an average speed of 55 miles per hour how far did he go?
Answer: 165 miles
Step-by-step explanation: In order to figure out the answer, you must do 55 x 3 because he drove for 3 hours at 55 mph so you could break it up and go 50 x 3 to equal 150 and 5 x 3 to equal 15 and add those to get 165.
Answer:
The answer is 165miles
Step-by-step explanation:
\(distance = speed \times time\)
d=55×3
d=165 miles
Write a polynomial
f(x)
in general form that has the following characteristics.
• Degree 3
• Leading coefficient of 4
• One double root at
x = −6
• One root at
x = 5/2
The general form representation of the polynomial which is as described in the task content is; f(x) = 4x³ + 38x² + 24x - 360.
Polynomials in general form.It follows from the task content that the Polynomial in discuss has;
Degree 3.Leading coefficient of 4.One double root at, x = −6.One root at; x = 5/2.Therefore, the factored form of a polynomial can be written as follows;
P(x) = a (x - p) (x - q) (x - r) where p, q and r are the roots of the polynomial and a is the leading coefficient.
Since the factors of the polynomial f(x) are; (x + 6), (x + 6) and (x - 5/2).
Hence, the polynomial f(x) in discuss can be written as follows;
f(x) = 4 (x + 6) (x + 6) (x - 5/2)
f(x) = (x + 6) (x + 6) (4x - 10)
f(x) = 4x³ + 38x² + 24x - 360
Therefore, the required polynomial in standard form is; f(x) = 4x³ + 38x² + 24x - 360.
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Solve: 3(2d - 1) – 2d = 4(d– 2) + 5
The right answer is No solution.
Look at the attached picture
Hope it will help you
Solve for r 1+3r>10 please I need this solved aspap
The solution to the inequality 1 + 3r > 10 is r > 3.
This means that any value of r greater than 3 will satisfy the inequality.
To solve the inequality 1 + 3r > 10, we need to isolate the variable r on one side of the inequality sign.
Let's begin by subtracting 1 from both sides of the inequality:
1 + 3r - 1 > 10 - 1
This simplifies to:
3r > 9
Next, we can divide both sides of the inequality by 3 to solve for r:
(3r)/3 > 9/3
This simplifies to:
r > 3
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The Ryan family pays 1,347 per month for rent. If there rent doesn't change how much will they pay in dollars for rent over the 30 years.
( will give brainliest if you help)
Answer:
in a span of 30 years, the family would pay $40,410 in rent.
Step-by-step explanation:
you simply multiply $1,347 by 30!
(comment any questions)
simplify ((a³ - 27) / (a - 3)) (a² - 3a + 9)
Answer:
\(a^{4}\)+9a²+81
Step-by-step explanation:
((a³ - 27) / (a - 3)) (a² - 3a + 9)
graph each function (equation) by making a table y = |2x| + 1
please help
Answer:
the table:
x | y
-2 | 5
-1 | 3
0 | 1
1 | 3
2 | 5
for the graph: go up from the middle point, then right then up by two and repeat on the other side as well, should look something like this
( up one, go left, up 2) ∨ (up one, go right up two)
Out of the 25 families that Tod delivered magazines to on
Friday, 10 families were home and the rest were away. How is
the fraction of magazines that were delivered to families who
were home written as a decimal?
The fraction of magazines that were delivered to families who were home written as a decimal is 0.4
Difference between fraction and decimal?
There are just two ways to represent numbers: fractions and decimals. In comparison to decimals, where the whole number part and the fractional part are connected by a decimal point, such as in the case of 0.5, fractions are expressed as p/q, where q0. Decimals and fractions show the link between parts and wholes. We use 1 to represent the entire in fractions and decimals. To comprehend the relationship between fractions and decimals, let's look at some instances. Think of a six-slice, full-thin crust pizza. Your mother gave you three slices, or half of it, which is written as 1/2 in fractional form and as 0.5 in decimal form.Total number of families = 25
Number of families in home = 10
Then, number of families away = 25 - 10 = 15
Fraction of magazines that were delivered to families who were home
= Number of families in home/ Total number of families
= 10 / 25
= 0.4
Hence, the fraction of magazines that were delivered to families who
were home written as a decimal is 0.4
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2n + 3 = -3n + 5n
OK
2n + 3 = -3n + 5n
= 2n + 3 = 2n
= 3 = 0
= ø
State the domain and range of both the function and the inverse function. f(x) = 8 x + 8 f -1(x) = Domain of f(x): Range of f(x): Domain of f -1(x): Range of f -1(x)
Answer:
\(f^{-1}(x) = \frac{x+8}{8}\)
Domain of f(x): All real values.
Range of f(x): All real values.
Domain of f -1(x): All real values.
Range of f -1(x): All real values
Step-by-step explanation:
We are given the following function:
\(f(x) = 8x + 8\)
Since it is a line, we have that both the domain is the range is the real set.
Inverse function:
The domain of the inverse function is the range of the original function, and the range of the inverse function is the domain of the original function.
Finding the inverse function:
Exchange x and y in the original function, and isolate y. So
Original
\(y = 8x + 8\)
Exchanging:
\(x = 8y - 8\)
Isolating y:
\(8y = x + 8\)
\(y = \frac{x+8}{8}\)
\(f^{-1}(x) = \frac{x+8}{8}\)
complete the equation describing how x and y are related.
Answer:
y=-2x+1
Step-by-step explanation:
The slope of the line is (y(2)-y(1))/(2-1)=(-3+1)/1=-2. The equation of the line is y=mx+(y intercept), y=-2x+1
The complete equation describes how x and y are related y=-2x+1.
We have given, the equation,
We have to determine the complete equation describing how x and y are related.
What is the formula for the slope?
The slope of the line is(m)=y2-y1/x2-x1
Where m is the slope,
Therefore we get,
(y(2)-y(1))/(2-1)
=(-3+1)/1
=-2.
The equation of the line is y=mx+(y-intercept), y=-2x+1.
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Can some please help
Answer:
1.5
2.28
3.quadrilateral
4.heptagon
5.hexagon
6.15
7.54mm
8.25cm
9.im not sure
An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.
Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.
How to complete the table of ratios?To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:
Box A
2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.box B
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