Answer:
21
Step-by-step explanation:
Note that n! = n(n - 1)(n - 2) ..... × 3 × 2 × 1, thus
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
5! = 5 × 4 × 3 × 2 × 1
2! = 2 × 1
Hence
cancel 5 × 4 × 3 × 2 × 1 on numerator/ denominator, leaving
[tex]\frac{7(6)}{2(1)}[/tex] = [tex]\frac{42}{2}[/tex] = 21
The function f(x)=x^2 and its transformation f(x)=(x-k)^2 are shown below. What is the value of k?
Answer:
f(x - k) = (x - k)²⇒ k = 5Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x - n) - shift the graph n units to the right
f(x + n) - shift the graph n units to the left
==============================================
Look at the picture.
The graph has been shifted 5 units to the right.
Therefore we have f(x - 5).
If y=x-6 where changed to y=x+8 how would the graph of the new function compare with the first one ?
Answer:
The function [tex]y=x+8[/tex] is the function [tex]y=x-6[/tex] shifted 14 units up.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
Step-by-step explanation:
The equation of the line in slope intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
The first equation is:
[tex]y=x-6[/tex]
The second equation is:
[tex]y=x+8[/tex]
The parent function with the form [tex]y=mx[/tex] can be shifted up or shifted down k units.
When [tex]y=mx+k[/tex] the function is shifted k units up.
When [tex]y=mx-k[/tex] the function is shifted k units down.
Then, the function [tex]y=x+8[/tex] is obtained by adding k=14 to the function [tex]y=x-6[/tex].
Both equation has the same slope, but the y-intercepts are different.
The graph of the first equation will be a line with slope 1 that intersects the y-axis at point (0,-6)
The graph of the second equation will be a line with slope 1 that intersects the y-axis at point (0,8)
what is the area of a square when the side length is 2/3cm
[tex]\bf \textit{area of a square}\\\\ A=s^2~~ \begin{cases} s=length~of\\ \qquad a~side\\[-0.5em] \hrulefill\\ s=\frac{2}{3} \end{cases}\implies A=\left( \cfrac{2}{3} \right)^2\implies A=\cfrac{2^2}{3^2}\implies A=\cfrac{4}{9}[/tex]
Please help (thanks)
A. 6
B. 7
C. 8
D. 9
Answer:
C 8
Step-by-step explanation:
To find the interquartile range take the third quartile (the right line of the box) and subtract the first quartile (the left line of the box)
33-25 = 8
Please help somehow with graphing, I'm very very confused!
Ok, so first, the y-intercept is always the last number. So the y-intercept for the first equation would be -1, and for the second equation, 4.
Put a dot, or a point on -1and 4 on the graph.
The slope is always he number with an x.
So the slope would be 3 for the first equation.
And the slope for the 2nd equation would be -2.
If the slope doesn't have a denominator, put 1 as it's denominator.
So, 3x would turn into
[tex] \frac{3x}{1} [/tex]
And -2x would turn into
[tex] \frac{ - 2x}{1} [/tex]
So the rule for slope is:
[tex] \frac{rise}{run} [/tex]
So, go to your -1, and go up 3 and 1 right. Keep doing that until you reach the end of the graph.
Now, go to your -4, go down 2 and go left 1. Keep doing that until you reach the end of the graph.
Now, draw the lines.
I'll show on piece of paper how to do this if you dont get the explanation I gave.
what is f(-8) equal to......Please correct
Answer:
Your answer is incorrect. Correct answer is f(-8) = -3
Step-by-step explanation:
[tex]f(x)=\dfrac{x+2}{2}\\\\f(-8)\to\text{put x = -8 to the equation of the function}\ f:\\\\f(-8)=\dfrac{-8+2}{2}=\dfrac{-6}{2}=-3[/tex]
The value of f(-8) refers to the result of a function, f(x), when x equals -8. However, without the specific function, we cannot provide an exact value.
Explanation:To determine the value of f(-8), we need to know the function f(x). In mathematics, f(-8) typically refers to the value of a function, denoted as f(x), at x=-8. For instance, if we have the function f(x) = x^2, then f(-8) would equal to (-8)^2, which is 64. However, without knowing the specific equation for f(x), we cannot provide the exact answer for f(-8).
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Which measure of central tendency best describes situation the favorite fruit sold in the cafeteria explain
Answer:
the mode
Step-by-step explanation:
The mode of a set of data values is the value that appears most often. if it is the favorite, it will have the most votes so it will be what appears most often
Final answer:
The mode is the best measure of central tendency to describe the favorite fruit sold in the cafeteria because it shows the most frequently sold fruit. However, the mean could also be relevant if the average sales are of interest, while the median is typically less informative for this specific question.
Explanation:
The measure of central tendency that best describes the favorite fruit sold in the cafeteria would typically be the mode. This is because the mode identifies the category with the highest frequency, which means it represents the fruit that appears most often in the sales data, or in other words, the favorite. However, to provide a definitive answer, one would need to analyze the actual sales data of fruits sold in the cafeteria. If we're looking solely at what is most common without considering how much more common, then the mode suffices. If, on the other hand, we're interested in the average number of each type of fruit sold, then the mean would be more appropriate. The mean is calculated by taking the sum of all observations and dividing by the number of observations. The measure of central tendency known as the median might be less useful in this specific case unless we're interested in the middle value of fruit sales when they're ordered from least to most sold.
Consider the polinomial function (x+3) (x+9) (x-6)=0. Which of the following are zeros of the function ? Select all the apply
Answer:
The zeros are -9,-3,6
Step-by-step explanation:
(x+3) (x+9) (x-6)=0.
We can use the zero product property
x+3 =0 x+9 =0 x-6 =0
x = -3 x = -9 x=6
The zeros are -9,-3,6
HELP PLEASE HURRY!!!!!!!!!
Find the area of each figure to the nearest tenth.
See the attached pictures for the answers:
use the graph of the polynomial function to find the factored form of the related polynomial. Assume it has no constant
Answer:
The correct answer is B) (x + 4)(x - 4)
Step-by-step explanation:
We can tell this since it crosses the x axis at 4 and -4. This means we need parenthesis that gives us these two values.
Answer:
B (x+4)(x-4)
Step-by-step explanation:
when using FOIL to unfactor this, the bx term is equal to 0, hence why it is at 0 as the x value
About ______% of the area is between zequalsminus1 and zequals1 (or within 1 standard deviation of the mean).
According to the empirical rule, about 68% of the data in a normal distribution is within one standard deviation of the mean, which corresponds to z-scores between -1 and 1.
Explanation:The question is about the percentage of data found within certain ranges of standard deviations from the mean in a normal distribution, as represented by z-scores. Specifically, it refers to the proportion of data within one standard deviation (z-scores between -1 and 1). According to the empirical rule (also known as the 68-95-99.7 rule), about 68% of the data in a normal distribution is within one standard deviation of the mean.
So, about 68% of the area is between z=-1 and z=1 (or within 1 standard deviation of the mean). This empirical rule is a quick way to estimate the spread of data in a normal distribution and is useful for various statistical analyses.
8. What’s the answer to this question please
D) $5
Half of $25 is $5
25/5= 5
horace wants to buy a pound of pecans. if a 1 pound bag costs $8.65 and a 4 ounce bag cost $2.35, how much money would horace save by buying the 1 pound bag instead of multiple 4 ounce bags.
Answer:
Step-by-step explanation: there is 16 oz in a pound. Horace would buy 4-4 ounce bags at 2.35 per bag which equals $9.40 and since he can pay $8.65 for a pound bag, there would be a $.75 difference
By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
Explanation:To find out how much money Horace would save by buying the 1 pound bag instead of multiple 4 ounce bags, we need to compare the unit prices of the two bags. The 1 pound bag costs $8.65, so the cost per ounce is $8.65 divided by 16 (since there are 16 ounces in a pound), which is $0.54 per ounce. The 4 ounce bag costs $2.35, so the cost per ounce is $2.35 divided by 4, which is $0.59 per ounce. By buying the 1 pound bag, Horace would save $0.05 per ounce compared to buying multiple 4 ounce bags.
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What time and day will it be
154hr 36 mins after Thursday 1:26pm?
The time and day that will be 154 hours and 36 minutes after Thursday 1:26pm is Thursday at 8:02pm.
Explanation:To determine the day and time that will be 154 hours and 36 minutes after Thursday 1:26pm, we need to perform some calculations:
Add 154 hours to the given time of 1:26pm. This gives us a new time of 7:26pm on the same day.Next, add 36 minutes to the new time of 7:26pm. This gives us a final time of 8:02pm on the same day.Since the question asks for the day as well, the answer would be the same Thursday, with a time of 8:02pm.Therefore, it will be Thursday at 8:02pm 154 hours and 36 minutes after Thursday 1:26pm.
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Solve –5√ x = –15 Please help!
Answer:
x=9
Step-by-step explanation:
First divide both sides by -5. Once you do this you should have a result of √x=3. from here, square both sides. This will give you an answer of 9
Answer:
x = 9Step-by-step explanation:
[tex]Domain:\ x\geq0\\\\-5\sqrt{x}=-15\qquad\text{divide both sides by (-5)}\\\\\sqrt{x}=3\qquad\text{square both sides}\\\\(\sqrt{x})^2=3^2\qquad\text{use}\ (\sqrt{a})^2=a\\\\x=9[/tex]
simplify the equation (-5-c) (-1)
a.) 5-c
b.) 5+c
c.) -5-c
d.) -5+c
-1(-5-c)
-1*-5=5
-1*-c=c
:5+c
Answer:
d) 5 + cStep-by-step explanation:
We know:
(-)(-) = (+)
(+)(+) = (+)
(-)(+) = (+)(-) = (-)
We have (-5 - c)(-1) use the distributive property a(b + c) = ab + ac
= (-5)(-1) + (-c)(-1) = 5 + c
Translate answer T^2=A^3 into words
Answer:
T to the power of two equals A to the power of 3
~batmans wife dun dun dun...aka ~serenitybella
Answer:
Step-by-step explanation:
Té al cuadrado es igual a A al cubo.
John drew a polygon with 2 line segments that meet to form a right angle.
Answer:
Step-by-step explanation:
Two lines that intersect and form right angles are called perpendicular lines. The symbol ⊥ is used to denote perpendicular lines.
please help me this is urgent
Answer:
99.9
Step-by-step explanation:
shade in circles and write equivalent fractions 3/6
Answer:
A fraction that would be equivalent to 3/6 would be 1/2, therefore a shaded circle would be half of a circle.
Step-by-step explanation:
Look at the picture.
Divide the circle to six congruent pieces. Shade three pieces.
Equivelent fractions:
[tex]\dfrac{3}{6}=\dfrac{3:3}{6:3}=\dfrac{1}{2}\\\\\dfrac{3}{6}=\dfrac{3\cdot2}{6\cdot2}=\dfrac{6}{12}\\\\\dfrac{3}{6}=\dfrac{1}{2}=\dfrac{1\cdot2}{2\cdot2}=\dfrac{2}{4}\\\vdots[/tex]
What are the possible values for p in the equation below? Check all that apply. |p| = 12
Answer:
A and F
Step-by-step explanation:
Help on number four please?
Answer:
49
Step-by-step explanation:
Bisection means that the angle is divided exactly in half.
All you have to do it divide 98/2 to find the angle measure of MVP
That number is 49.
the volume of a box (V) varies directly with its length (l). if one of the boxes has a volume of 288 cubic inches and a length of 12 inches, what is the constant proportionality for the group of boxes
Answer: 24
Step-by-step explanation: got it righ
10.........................
The answer is:
a. [tex]a^{\frac{3}{2}}bc^{2}[/tex]
Why?To simplify the expression, we need to transform the radical into a exponential form, then apply the exponential property.
Transforming radical to exponential form:
[tex]\sqrt[n]{x}=x^{\frac{1}{n}}\\\sqrt{x}=x^{\frac{1}{2} }[/tex]
Power of a power property:
[tex](a^{m})^{n}=a^{mn}\\\\(a^{m})^{\frac{1}{n}}=a^{\frac{m}{n}}[/tex]
So,
[tex]\sqrt[4]{a^{6}b^{4}c^{8}}=(a^{6}b^{4}c^{8})^{\frac{1}{4}}\\\\(a^{6}b^{4}c^{8})^{\frac{1}{4}}=a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}\\\\a^{\frac{6}{4}}b^{\frac{4}{4}}c^{\frac{8}{4}}=a^{\frac{3}{2}}bc^{2}[/tex]
Have a nice day!
Hey im struggling i need help pleaseee
Answer:
D
Step-by-step explanation:
The opposite angles of the inscribed quadrilateral are supplementary
∠A + ∠C = 180 and ∠B + ∠D = 180
∠B + ∠D = 93 + x + 30 = x + 123, hence
x + 123 = 180 ( subtract 123 from both sides )
x = 57 → D
Plz help !!!!!!!!!!!!
Answer: √2
Step-by-step explanation:
[tex]\sqrt[4]{4} =\sqrt[4]{2^2} =2^{\frac{2}{4}}=2^{\frac{1}{2}}=\sqrt2[/tex]
The dot pot shows the number of miles Zac ran each day
Answer:
could you specify the question because im not sure what it is??
The sum of two numbers is 55 and the difference is 7. What are the numbers?
larger number:
smaller number:
Answer:
31
24
Step-by-step explanation:
the larger number is 31 and the smaller number is 24 :)
What is the measure of arc WX in the diagram below ?
The measure of the arc WX is 26 degrees.
What is the secant of the circle?A secant is a line that intersects a circle in exactly two pints. When a tangent and a secant, two secants, or two tangents intersect outside a circle then the measure of the angle formed is one half the positive difference of the measure of the intercepted arcs.
According to the given question.
WSX is a secant angle.
TR and WX are intercepted arcs.
Therefore, by the secant of the circle formula
[tex]\frac{1}{2} (116^{o} -WX) = 45^{o}[/tex]
[tex]\implies 116^{o} -WX = 90^{o}[/tex]
[tex]\implies WX = 116^{o} -90^{o}\\ \implies WX = 26^{o}[/tex]
Hence, the measure of the arc WX is 26 degrees.
Thus, option B is correct.
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What are the roots of the polynomial equation x^3 - 7 x = 6x - 12
Answer:
x(roots) = 3, 1, -4.
Step-by-step explanation:
Find the roots by solving for x.
Hope this helps,
Davinia.
x^3 - 7x = 6x -12
Subtract 6x from both sides:
x^3 - 13x = -12
Add 12 to both sides:
x^3 - 13x +12 = 0
Factor the left side:
(x-3) (x-1)(x+4) = 0
Now solve for x in each set of parenthesis so they all equal 0:
x = 3
x = 1
x = -4
The roots are 3,1, -4