Answer:
C) y = -(x + 3)2
Step-by-step explanation:
To vertically shrink the function by a factor of 1/2, we just need to multiply f(x) by 1/2 (This way the values in the y-axis will decrease by a factor of 1/2):
[tex]y = (1/2) * 2(x + 3)^2[/tex]
[tex]y = (x + 3)^2[/tex]
Now, to reflect the function across the x-axis, we just need to put a minus sign in the front of the function (so the values in the first and second quadrant will go to the third and fourth quadrant, that is, f(x) will be -f(x)):
[tex]y = -(x + 3)^2[/tex]
So the correct option is C)
Use the drawing tool(s) to form the correct answer on the provided graph.
Graph the inverse of the line provided on the graph.
Answer: Slope 1/4 therefore slope of new line would be -1/4
Step-by-step explanation:
The points of the inverse of the line provided on the graph are as under:
x=2,y=5
x=0,y=-5
x=1,y=0
What is the inverse of a line?
It means interchanging the values of x with the values of y and form a line which is known a inverse of a line.
How to graph the inverse of a line?firstly point out the points from the graph given in the question as in the graph1 below
now by interchanging the values we get the values of inverse of the line as in the graph 2
By plotting these points on the graph we get the inverse of the line which is in the graph 3
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Which expression shows the simplified form of (8 r Superscript negative 5 Baseline) Superscript negative 3? 8 r Superscript 15 StartFraction 8 Over r Superscript 15 Baseline EndFraction 512 r Superscript 15 StartFraction r Superscript 15 Baseline Over 512 EndFraction
Answer:
[tex]\frac{r^{15}}{512}[/tex]
Step-by-step explanation:
Given
[tex](8r^{-5})^{-3}[/tex]
Required
Simplify
This can be simplified using the following law of indices;
[tex](ab)^n = a^{n}b^{n}[/tex]
The equation becomes
[tex](8^{-3})(r^{-5})^{-3}[/tex]
Express [tex]8^{-3}[/tex] as a fraction
[tex](\frac{1}{8^{3}})(r^{-5})^{-3}[/tex]
Simplify [tex]8^3[/tex]
[tex](\frac{1}{8*8*8})(r^{-5})^{-3}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex]
The expression can further be simplified using the following law of indices;
[tex](a^m)^n = a^{mn}[/tex]
[tex](\frac{1}{512})(r^{-5})^{-3}[/tex] becomes
[tex](\frac{1}{512})(r^{-5*-3})[/tex]
[tex](\frac{1}{512})(r^{15})[/tex]
[tex]\frac{r^{15}}{512}[/tex]
Hence, the solution to [tex](8r^{-5})^{-3}[/tex] is [tex]\frac{r^{15}}{512}[/tex]
Answer:
D
Step-by-step explanation:
Simplify as a ratio: 100:199:47
Answer:
Find GCF of all values in the given ratio
GCF(100, 199, 47) = 1
When GCF value is equal to 1, the given ratio can not be simplified.
Step-by-step explanation:
It cant be simplified
Answer:
100:199:47
Step-by-step explanation:
The ratio cannot be simplified.
The numbers 199 and 47 are prime numbers, and only have the factors of 1 and themselves.
FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 8 feet, what is the actual length of the green line? 16ft 18ft 19.5 ft 21 ft
Answer: The correct answer is 18ft
Step-by-step explanation:
Answer:
16 ft
Step-by-step explanation:
If you simply the ratio of 2/8 it becomes 1/4
This means that it has to be a multiple of 4
What is the equation of the parabola?
A. y=-1/8x^2+5
B. y=1/8x^2+5
C. y=1/8x^2-5
D. y=-1/8x^2-5
Answer:
The answer is option B.
y = 1/8x² + 5
Hope this helps you
Determine the area of the given kite. ANSWERS: 342 square units 2520 square units 5040 square units 684 square units
Answer: 342 square units
Step-by-step explanation:
Area of a kite = pq / 2 ( where PQ represents both diagonals)
Area = (38 x 18) / 2
Area = 684 / 2
Area = 342
Solve for x in the diagram.
Answer:
x = 15
Step-by-step explanation:
Using Pythagorean Theorem
=> [tex]c^2 = a^2+b^2[/tex]
Where c= x, a = 12, b = 9
=> [tex]x^2 = (12)^2+(9)^2[/tex]
=> [tex]x^2 = 144+81[/tex]
=> [tex]x^2 = 225[/tex]
Taking sqrt on both sides
=> x = 15
There are crows and groundhogs in a field. All of them together have 15 heads and 40 legs. How many of each animal are in the field?
Answer:
10 crows and 5 ground hogs
Step-by-step explanation:
10 ×2 is 20 because crows have 2 legs then we do 5×4 which is 20 because ground hogs have 4 legs 10 +5 equals 15 because each animal has one head
How is the graph of y = 2 (3)^x+1 -4 translated from the graph of y = 2(3)^x
Answer:
f(x - n) - shift the graph n units right
f(x + n) - shift the graph n units left
f(x) - n - shift the graph n units down
f(x) + n - shift the graph n units up ----------------------------------------------------------------------------
Answer: shift the graph of y = 2(3)ˣ one unit right and four units up.
I only need help step by step solution for question#40 and #44
the link is not working :(
A cube has an edge length of 13 feet. What is its volume, in cubic feet?
Answer:
V =2197 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the length of a side
V = 13^3
V =2197 ft^3
Answer:
Volume = 2197ft³
solve:
|3x+ 2| > 14
show work
Answer:
x < -16/3 or x > 4
Step-by-step explanation:
This is split into two inequalities: 3x + 2 > 14 and -(3x + 2) > 14.
3x + 2 > 14
3x > 12
x > 4
-(3x + 2) > 14
3x + 2 < -14
3x < -16
x < -16/3
Answer:
[tex]x > 4[/tex]
Step-by-step explanation:
Move the constant to the right-hand and change its sign:
[tex]3x > 14 - 2[/tex]
Subtract the number:
[tex]3x > 12[/tex]
Divide both sides of the inequality by 3:
[tex]3 \div 12 = 4[/tex]
Therefore, the answer will be x > 4.
-b -b +5 pls show work and solve
Answer:
Step-by-step explanation:
-b -b +5
= -2b + 5
Every day you collect 3 pennies and keep them in a jar. So the first day you have 3, the second day you have 6, the third day you have 9, etc. How many do you have on the 13th day?
Answer: 39 Pennies
Step-by-step explanation: You can think about this question as a multiplication problem. When you look at the pattern of the the other days you notice that they are all mulitples of 3. So when you want to find the number of pennies on the 13th day. You can do 3*13 = 39.
Write an equation of the line passing through the point (7,3) that is parallel to the line 4x-7y=9
Answer:
y = -7/4x + 61/4
Step-by-step explanation:
Step 1: Write equation in slope-intercept form
-7y = 9 - 4x
y = 4/7x - 9/7
Step 2: Find slope of perpendicular line
Take the negative reciprocal of the 1st equation
m = -7/4
Step 3: Write out known variables
y = -7/4x + b
Step 4: Find b
3 = -7/4(7) + b
3 = -49/4 + b
b = 61/4
Step 4: Rewrite equation
y = -7/4x + 61/4
Use the following data set to find the sample statistics for the following data set. 1. (N) or (n) 2. (x-bar) or (μ) 3. (σ) or (s) Thanks!
Answer:
(1) N or n = 20
(2) [tex]\bar X \text{ or } \mu[/tex] = 43.4
(3) σ = 9.78 and s = 10.04.
Step-by-step explanation:
We are given with the following data set below;
{51, 48, 42, 43, 48, 48, 46, 15, 29, 45, 47, 55, 46, 35, 47, 48, 54, 26, 53, 42}
(1) As we can see in the above data that there are 20 data values in our data set which means that the value of N or n (numner of observations) is 20.
(2) The formula for calculating Mean of the data, i.e. [tex]\bar X \text{ or } \mu[/tex] is given by;
Mean = [tex]\frac{\sum X}{n}[/tex]
= [tex]\frac{51 +48+ 42+ 43+48+48+ 46+ 15+ 29+ 45+ 47+ 55+ 46+ 35+ 47+ 48+ 54+ 26+ 53+ 42}{20}[/tex]
= [tex]\frac{868}{20}[/tex] = 43.4
So, the value of [tex]\bar X \text{ or } \mu[/tex] is 43.4.
(3) The formula for calculating population standard deviation ([tex]\sigma[/tex]) is given by;
Standard deviation, [tex]\sigma[/tex] = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{N} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20} }[/tex]
= 9.78
Similarly, the formula for calculating sample standard deviation (s) is given by;
Sample Standard deviation, s = [tex]\sqrt{\frac{\sum (X - \bar X)^{2} }{n-1} }[/tex]
= [tex]\sqrt{\frac{(51-43.4)^{2}+(48-43.4)^{2}+.......+(42-43.4)^{2} }{20-1} }[/tex]
= 10.04
Question 4 Select Prism from the list of shapes. Set the number of lateral faces to five, and explore the cross sections of a pentagonal prism. Move the intersecting plane, and vary the angle between the intersecting plane and the vertical axis to identify the shapes of different types of cross sections. Part A Note all the types of cross sections you observe. In the table, describe the shape of the cross section formed when a particular plane passes through the prism.
Answer:
Step-by-step explanation:
Answer:
Plato
Step-by-step explanation:
rectangle
pentagon
pentagon
pentagon, hexagon ,heptagon
pentagon, quadrilateral, or triangle
hi:) I need help with part 9(ii) ? Thanks :)!
Answer:
see explanation
Step-by-step explanation:
Given
2BD = 7BT , then
2(d - b ) = 7(t - b) ← distribute both sides
2d - 2b = 7t - 7b ( add 7b to both sides )
2d + 5b = 7t, thus
2[tex]\left[\begin{array}{ccc}10.5\\10\\\end{array}\right][/tex] + 5[tex]\left[\begin{array}{ccc}0\\3\\\end{array}\right][/tex] = 7t
[tex]\left[\begin{array}{ccc}21\\20\\\end{array}\right][/tex] + [tex]\left[\begin{array}{ccc}0\\15\\\end{array}\right][/tex] = 7t
[tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = 7t , thus
t = [tex]\frac{1}{7}[/tex][tex]\left[\begin{array}{ccc}21\\35\\\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3\\5\\\end{array}\right][/tex]
Hence T = (3, 5 )
Answer:
Please see the attached pictures for the full solution.
We reject x= -3 since x has to be between x=0 and x=10.5 since T lies on line BD.
We reject y= 1 since the y value has to be between 3 and 10 for T to lie on line BD.
Useful formula:
gradient=(y1-y2)/(x1-x2)
Further explanation:
1st picture, from line 12 to 13: cross multiply
line 14: expand
line 15: bring 9 over (or +9 on both sides)
line 16: ÷3 throughout
last picture: we have to show '(reject)' because whenever we introduce a square root, there must be a '±' sign.
Struggling!!! Math help plss!!!
Answer:
Step-by-step explanation:
the ratio of the surface area of two similar solids is equal to the square root of the ratios between their corresponding edge lengths. True or False
Answer:
False
Step-by-step explanation:
Just trust me on this
Answer:
The correct answer is False
Step-by-step explanation:
What are the first three terms of the Arithmetic Sequence an=11-3(n-1)?
a. 1, 2, 3
b. 0, 8, 16
c. 8, 5, 2
d. 11, 8, 5
Answer:
11,8,5
Step-by-step explanation:
an=11-3(n-1)
Let n=1
a1 = 11 - 3(1-1)
= 11 -0
=11
Let n=2
a2 = 11-3(2-1)
= 11 -3(1)
= 8
Let n=3
a3 = 11-3(3-1)
= 11 -3(2)
= 11 -6
=5
Answer:
The answer is 11,8,5
Step-by-step explanation:
that's the correct answer
Mr. Maddox asked four students to create a number line to help find the sum of the fractions. Negative StartFraction 7 over 10 EndFraction + StartFraction 4 over 10 EndFraction Which number line would be best to find this sum?
Answer:
First choice
Step-by-step explanation:
Sum of fractions:
-7/10 + 4/10= - 3/10
the interval required on the line from the left of - 7/10 to the right of -3/10
Which number line would be best to find this sum?
-8/10 to 0
yes, this is good as covers the interval from -7/10 to - 3/10
-3/10 to 3/10
no, it doesn't include the left half of required section
4/10 to 11/10
no, it doesn't include the required interval
0 to 15/10
no, it doesn't include the required interval
Answer:
A
Step-by-step explanation:
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by six; 7 minus StartFraction 2 Over n squared EndFraction + 6 nine times the difference of a number cubed and three; 9 (n cubed minus 3) eight more than the quotient of a number squared and four, decreased by seven; 8 + StartFraction 4 Over n squared EndFraction minus 7 twice the difference of a number cubed and eight; 2 n cubed minus 8
Answer:
the second description and and expression is correct
Step-by-step explanation:
the first one is wrong because it says 7 minus while it should be minus 7
nine times the difference of a number cubed and three; 9(n³-3)
Paired data in statistics, often referred to the ordered pairs, refers to 2 variables in the individuals of the population that are linked together in the order to determine correlation between them.
Given :
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
9 times the difference of a number cubed and three; 9(n³-3)
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
twice the difference of a number cubed and eight; 2 n³- 8
To Find: Which description is paired with its correct expression
Solution:
7 less than the quotient of two and a number squared increased by six
7 - (2/n²) + 6
Correct Expression is -7 + (2/n²) + 6
nine times the difference of a number cubed and three; 9(n³-3)
Expression is Correct
8 more than the quotient of a number squared and four, decreased by seven; 8 + (4 /n²) - 7
Correct Expression is 8 + (n²/4) - 7
twice the difference of a number cubed and eight; 2 n³- 8
The correct expression is 2( n³- 8)
Hence the correct answer is :
nine times the difference of a number cubed and three; 9(n³-3)
Statistics is a mathematical body of the science that pertains by the collection or analysis, or interpretation and explanation, or presentation of data, and as a branch of mathematics. Some consider statistics to be the distinct mathematical science rather than a branch of mathematics.
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Which are correct representations of the inequality -3(2x - 5) <5(2 - x)? Select two options.
Answer:
The third and fourth options.
Step-by-step explanation:
You simplify the inequality first...
-6x + 15 < 10 - 5x
-x < -5
x > 5
The first option is incorrect since it is less than.
The second option is basically -5x < 15; x > -3; that's incorrect.
The third option is basically -x < -5; x > 5; that is correct!
The fourth option is correct since it shows more than 5.
The fifth option is incorrect because it shows less than -5.
Hope this helps!
Answer: The answer is C and E
Step-by-step explanation:
Hope this helps;)
Determine the slope of the following equation: 2y -4x = 9
Can someone please Simplify -|-5 + 2|
Answer:
_|_5+2|
=_|_3|
=_3
is answer.
Does this table represent a function? why or why not?
Answer:
I think it's A but I could be wrong
Answer: B
Step-by-step explanation:
A graph or table is a function if it passes the vertical line test. That means, each x and only 1 y. One x cannot have more than 1 y because, that means it does not pass the veritcal line test. In the vertical line test, the vertival line only passes through 1 point, not 2. Since we know that this graph does not pass the vertical in test, we can eliminate C and D. We can eliminate A because 2 y-values can be the same as lone as there have different x. B fits the description of what we see on the table. Therefore, the answer is B.
For two months, Milan used the same landscaping maintenance company. The company had a fixed reservation rate per month, plus an hourly rate for the amount of time that is spent on landscaping work. Milan received two bills from the landscaping company. The first bill was $120.75 for 2.75 hours of
landscaping work and the second bill was $160.50 for 5.25 hours of landscaping work. Find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour. Round to the nearest cent, if necessary.
Answer:
The equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
Step-by-step explanation:
The first bill amount for 2.75 hours of landscaping work = $120.75
The second bill amount for 5.25 hours of landscaping work = $160.50
No we are supposed to find the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour
So, we will us two point slope form to find the equation:
Formula : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex](x_1,y_1)=(2.75,120.75)\\(x_2,y_2)=(5.25,160.50)[/tex]
Substitute the values in the formula
[tex]y-120.75=\frac{160.50-120.75}{5.25-2.75}(x-2.75)\\y=15.9x+77.025[/tex]
Hence the equation of the line that represents the landscaping company's fixed reservation rate and charge per hour is y=15.9x+77.025
and distance of the last ramp is ______ feet (round to the nearest foot)
Answer:
The distance of the last ramp is 10 feet.
Step-by-step explanation:
From the options and the question, I assume that the height of the ramp is 6 feet. Pythagorean theorem states:
a² + b² = c²
where c is the hypotenuse, and a and b are the legs of the triangle. In this case:
6² + 8² = x²
√100 = x
10 ft = x
The point (2,-5) is reflected over the y-axis. Which of the following points is the image?
(-2,5)
(-2,-5)
(2,-5)
(2,5)