Answer:
D
Step-by-step explanation:
These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.
Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.
Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.
There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.
The answer is thus D.
Answer:
Last one:
The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).
Step-by-step explanation:
g(x) = ½f(x)
g(x) is obtained by a vertical stretch of f(x) by factor ½ (compression)
g(x) would look like f(x), would just be wider
Area or Trapezoids and Composite Figures - Item 992350
Questioi
Drag the correct number of pieces to show how to find the area of the shaded figure in
two different ways. Pieces can be rotated to fit.
Pieces = 6
Pieces 46
DRAG AND
DROP ITEMS
HERE
DROP ITEMS
In order to find the area of composite figures and trapezoids, you should decompose the figure into simple shapes, calculate each of their areas, and then sum these areas up. For trapezoids, use the formula 1/2 (sum of the bases) x height.
Explanation:The question provides a complex description of a figure, but it seems this is a mathematical problem dealing with areas of trapezoids and composite figures. It can be inferred that you need to maneuver pieces to cover the shaded area of a figure. Here's a general way to approach it:
Decompose the figure: Break down the complex figure into simple shapes such as rectangles, squares, triangles etc. Calculate the areas: Use the appropriate formulas to calculate the areas of these simpler shapes. Sum up the areas: Add the areas of the individual shapes to get the total area of the composite figure.
For the trapezoids, remember that the area of a trapezoid is given by 1/2 (sum of the bases) x (height).
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Which number sentence is true? A. –39.6 ÷ 4.8 = 8.25 B. –39.6 ÷ (–4.8) = –8.25 C. 39.6 ÷ –4.8 = 8.25 D. –39.6 ÷ (–4.8) = 8.25
Answer:
A) 39.6 divided by 8.25 is true.
Answer:
D
Step-by-step explanation:
Got it right on test
Find m < RQP
70
55
80
90
Please help me I need help with answer
Answer:
+30 + -25
Savings is positive
Buying is negative
Step-by-step explanation:
We save 30 dollars
+30
We buy a game for 25
-25
+30 -25
Savings is positive
Buying is negative
For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile is 78, and the third quartile is 102.
Select all of the answers that create a true statement.
Approximately 25 students in the sample send...
Answer:
D. more than 102
E. between 90 and 102 messages
F. less than 78
Step-by-step explanation:
The median number of texts is 90, with approximately 25 students sending fewer than 78 texts (Q1) and 25 sending more than 102 texts (Q3) per day.
Explanation:For a sample of 100 students, the median number of text messages sent per day is 90, the first quartile (Q1) is 78, and the third quartile (Q3) is 102. This implies that approximately 25 students in the sample send fewer than 78 text messages per day (since Q1 marks the 25th percentile) and approximately another 25 students send more than 102 text messages per day (since Q3 marks the 75th percentile). Hence, the interquartile range (IQR), which measures the middle 50% of the data, is the difference between the third and first quartiles, which is 102 - 78 = 24 messages.
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On a coordinate plane, triangle J K L has points (negative 2, 1), (0, 3), and (2, negative 1). Reflect the figure over the line x = 0. The coordinate of J’ is . The coordinate of K’ is .
Answer:
J'(2, 1)
K'(0, 3)
Step-by-step explanation:
On a coordinate plane, coordinates of the points J, K and L are (-2, 1), (0, 3) and (2, -1) respectively.
If we reflect these points over the line x = 0 or y-axis, rule to be followed is
(x, y) → (-x, y)
Only sign of x coordinates get changed while y coordinates remain the same.
Following this rule coordinates of the images of J' and K' will be
J(-2, 1) → J'(2, 1)
and K(0, 3) → K'(0, 3)
Answer:
j = 2, 1
k = 0, 3
Step-by-step explanation:
i got it right on edg
What is the 15th term of the sequence 4,-8, 16, -32, 64...?
Answer: 16384
Step-by-step explanation:
The 15th term of the geometric sequence 4,-8, 16, -32, 64... is 131072. The term is obtained by using the formula for the nth term of a geometric sequence.
Explanation:The sequence given is a geometric sequence. This means every term is obtained by multiplying the previous term by a constant. In this case, the constant is -2 (since -8 = 4*-2, 16 = -8*-2, -32 = 16*-2, etc).
The formula for the nth term of a geometric sequence is a*r^(n-1), where a is the first term, r is the ratio (constant), and n is the position of the term in the sequence. In this case, the first term a is 4 and the ratio r is -2. Substituting these values and n=15 into the formula, we get the 15th term as 4*(-2)^(15-1) = 131072.
Therefore, the 15th term of the sequence 4,-8, 16, -32, 64... is 131072. This can be found by applying the formula for the nth term of a geometric sequence and substituting the given values.
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A fitness instructor tested the arm strength of members of a fitness dass to compare their scores to the national average. The test rated members on a scale from 1, the weakest, to 10, the strongest. The scores of 9 members are shown in the data set below. 4,6,6,7,7,8,8,8,9 Part A What is the value of each measure? Answers: Median: Mode: Range: Part B The mean absolute deviation (MAD) value of the data set is about 1.1. Tyler says that the lower the MAD value, the greater the variability. Is Tyler correct? Explain.
Answer:
A) Median: 7
Mode: 8
Range: 5
B) Tyler is wrong, the greater the MAD value, the greater the variability
Step-by-step explanation:
A) Given the data set: 4,6,6,7,7,8,8,8,9
The median is 7 (the middle point in the ordered list)
The mode is 8 (the most repeated number)
The range is 5 (the difference between the highest and lowest values)
I need help with this math equation. It's about quadratic equation.
Identify a, b, and c in the following quadratic equation 3x^2−7x=12.
A=
B=
C=
Answer:
A = 3
B = -7
C = -12
Step-by-step explanation:
3x^2−7x=12.
The standard form for a quadratic equation is
Ax^2 +Bx +C =0
Subtract 12 from each side
3x^2−7x-12=12-12
3x^2−7x-12=0
A = 3
B = -7
C = -12
Answer:
a = 3
b = -7
c = -12
Step-by-step explanation:
General form of a quadratic:
ax² + bx + c
Given:
3x² − 7x = 12
3x² - 7x - 12 = 0
Comparing the two:
a = 3
b = -7
c = -12
Which of the points is NOT one of the vertices (s,t) of the shaded region of the set of inequalities shown below?
Please help
Answer:
Option D
Step-by-step explanation:
Given: set of inequalities
To find: Points which do not satisfy all the inequalities
Solution:
For point [tex](15,0)[/tex]:
[tex]15\leq 30-3(0)=30\\15\geq 15-0=15\\15\leq 25-0=25\\15\geq 0\\0\geq 0[/tex]
So, (15, 0) satisfies all the inequalities
For point [tex](7.5,7.5)[/tex]:
[tex]7.5\leq 30-3(7.5)=30-22.5=7.5\\7.5\geq 15-7.5=7.5\\7.5\leq 25-7.5=17.5\\7.5\geq 0\\7.5\geq 0[/tex]
So, (7.5, 7.5) satisfies all the inequalities
For point (22.5,2.5):
[tex]22.5\leq 30-3(2.5)=30-7.5=22.5\\22.5\geq 15-2.5=12.5\\22.5\leq 25-2.5=22.5\\22.5\geq 0\\2.5\geq 0\\[/tex]
So, (22.5,2.5) satisfies all the inequalities
For point (7.5 ,0):
Put s = 7.5 and t = 0 in [tex]s\geq 15-t[/tex]
[tex]7.5\geq 15-0=15[/tex] which is false
So, [tex](s,t)\neq (7.5,0)[/tex]
Answer:
D.
Step-by-step explanation:
What are the leading coefficient, constant term and degree, if any, of the algebraic expression (x - 1)(x^2+1)
a. leading coefficient: 1; constant term: -1; degree: 3 b. leading coefficient: -1; constant term: 1; degree: 3
c. leading coefficient: 1; constant term: 1; degree: -3. d. none, expression is not a polynomial
Answer:
See below in bold.
Step-by-step explanation:
(x - 1)(x^2 + 1)
= x(x^2 + 1) - 1(x^2 + 1)
= x^3 + x - x^2 - 1
= x^3 - x^2 - x - 1.
Leading coefficient = 1.
Constant term = -1.
Degree = 3. (because of the x^3).
If the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that the expression is,
(x - 1)(x² + 1)
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
=(x - 1)(x²+ 1)
= x(x² + 1) - 1(x² + 1)
= x³ + x - x² - 1
= x³ - x² - x - 1.
From the expression the obtained result is,
Leading coefficient = 1
Constant term: -1
Degree: 3
Thus, if the algebraic expression is (x - 1)(x² + 1). The leading coefficient is 1, the constant term is -1 and the degree is 3. Option A is correct.
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What is 1,000,000,000,000 as a power of 10?
Answer:
1,000,000,000 as a power of 10, is: 10^12
Step-by-step Solution:
We can expand 1,000,000,000, and write this number as a multiplication sentence using only the number 10. By doing this, we can count the number of tens needed to be multiplied to get to his answer:
1,000,000,000 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10
Since 10 is multiplied by itself 12 times, we can therefore say that 10^12 is equal to 1,000,000,000
Answer:
10^12 (10 to the 12th power)
Step-by-step explanation:
10 to the twelth power would basically be 10x10x10x10x10x10x10x10x10x10x10x10
This equals 1,000,000,000,000, which is one trillion.
Complete the square to rewrite the equation in the form (x−h)2=p.
x2−6x−33=0
What is the equation in (x−h)2=p form?
(x−3)2=33
(x−3)2=42
(x−3)2=−33
(x−6)2=42
Answer:
second option
Step-by-step explanation:
Given
x² - 6x - 33 = 0 ( add 33 to both sides )
x² - 6x = 33
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 3)x + 9 = 33 + 9
(x - 3)² = 42 → second option
Find the distance between (0, 3) and (3, 7) .
Answer: (3,4)
This is what I had wrote, sorry if I'm wrong.
Will a set of data always have a mode? Explain your answer.
A set of data will not always have a mode.
A mode is defined as the value that appears the most often in a set.
For instance, a set of 1, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 6 would have a mode of 4, as it appears more often than any other number in the set.
However, a set of 1, 2, 3, 4, 5, 6 has no mode as there is no number that appears more than other numbers in the set.
-2x + 3y = -5
2x + 4y = 26
Answer:
[tex]x=7[/tex]
[tex]y=3[/tex]
Step-by-step explanation:
Considering the system of equations:
[tex]$\left \{ {{-2x + 3y = -5} \atop {2x + 4y = 26}} \right. $[/tex]
[tex]$\left \{ {{ 3y = -5} \atop {4y = 26}} \right. $[/tex]
[tex]7y=21\\y=3[/tex]
[tex]2x + 4(3) = 26\\2x + 12 = 26\\2x=14\\x=7[/tex]
Find the area of the figure shown below and type your result in the empty box.
Answer:
Area =
b1 + b2 ×h
2
=
10 + 10 × 10
2
= 100 feet2
Step-by-step explanation:
Factor x^4+xy^3+x^3+y^3 out completely. Hint: first factor out a monomial.
pls put the explanation and thank uu
Answer:
(x + y)(x² - xy + y²)(x + 1)
Step-by-step explanation:
Given
[tex]x^{4}[/tex] + xy³ + x³ + y³ ( factor out x from the first 2 terms )
= x(x³ + y³) + 1(x³ + y³) ← factor out (x³ + y³) from each term
= (x³ + y³)(x + 1)
x³ + y³ is a sum of cubes and factors as (x + y)(x² - xy + y²)
Thus
[tex]x^{4}[/tex] + xy³ + x³ + y³ = (x + y)(x² - xy + y²)(x + 1)
Please help me???? Much appreciated
Answer:
7.38
Step-by-step explanation:
ernie and lori are playing a game. the table shows their scores for 5 times they have played the game. which statement is true?
the medians are equal.
ernie has the greater range.
the means are equal.
ernie has the greater mode.
Answer:
Ernie has a greater range
The statement "the medians are equal" is true for the given table of data about playing a game by Ernie and Lori. This is obtained by calculating the mean, median, mode, and range of the data elements of each.
What are the mean, median, mode, and range for a set of data?Mean: This gives the average value of the data set and is calculated by adding all the elements in the data set and the result is divided by 2.Median: This is the middle value of the data set and it is calculated by rearranging the data in numerical order and then finding [tex]\frac{n}{2}[/tex] or [tex]\frac{n+1}{2}[/tex] for an even or odd number of data elements respectively.Mode: This gives the value that occurs most often in the data set.Range: The difference between the largest and smallest values of the data set is said to be the range.Calculating all the values for both Ernie and Lori:Given data sets for Ernie and Lori as follows:
Ernie: {18, 24, 17, 19, 17} and Lori: {16, 22, 18, 14, 18}
The number of elements in both the data sets is equal and it is 5
Calculating Mean:
For Ernie: {18, 24, 17, 19, 17}
Mean=(18+24+17+19+17)/2
=19
For Lori: {16, 22, 18, 14, 18}
Mean=(16+22+18+14+18)/2
=17.6
Thus, their "means are not equal". (3rd statement is false)
Calculating Median:
For Ernie: {18, 24, 17, 19, 17}
Re-arranging the data - 17, 17, 18, 19, 24
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
For Lori: {16, 22, 18, 14, 18}
Re-arranging the data - 14, 16, 18, 18, 22
Since n=5 (odd), then the median is at (5+1)/2 th term i.e., 3rd term
So, the median is 18
Thus, their "medians are equal". (first statement is true)
Calculating Mode:
The most occurring number in Ernie: {18, 24, 17, 19, 17} is 17 and
The most occurring number in Lori: {16, 22, 18, 14, 18} is 18
Thus, their modes are not equal, and "Lori has the greater mode".
(4th statement is false)
Calculating Range:
The range for Ernie's data set is 24 - 17=7
The range for Lori's data set is 22 - 14=8
Thus, their ranges are also not equal but "Lori has the greater range".
(2nd statement is false).
Therefore, 1st statement - " the medians are equal" is true.
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how do you graph y = -4/3x+8
Answer:
Below.
Step-by-step explanation:
The y-intercept of the graph is at (0, 8)
Plugging in x = 0 we get y = -4/3 * 0 + 8 = 8.
So we can mark 2 points on the graph paper.
One is at (0, 8).
If we let x = 3 then y = -4/3 * 3 + 8
y = -4 + 8
y = 4.
So our second point is at (3, 4)
We draw a line through these 2 points to get our graph.
Dominick drew a triangle on a map connecting his house, his school, and his favorite skate park. He used a scale on the map to determine that the height of the triangle that he drew represented 2 miles, and the base of the triangle that he drew represented 6 miles. What is the area of the triangle in square miles?
A triangle has points House, skate park, school. The height of the triangle is 2 miles and the base is 6 miles.
Use the formula for the area of a triangle, A = one-half b h, where A is the area of the triangle, b is the base, and h is the height.
Square miles
What is the measure of ∠ADC?
Answer:
<ADC = 131
Step-by-step explanation:
< ADC = <ADB + < BDC
The large angle is the sum of the two smaller angles.
<ADC = 89+42
=131
Answer:
131 degrees
Step-by-step explanation:
The reason for, is since <ADC is equal to < ADB + <BDC and that we already know the values of <ADB and <BDC, we can simply do
89 + 42 = 131.
So, <ADC is 131 degrees.
:)
Help me find the ratio
Answer:
1/4
Step-by-step explanation:
(0,1) (4,2)
m=(y2-y1)/(x2-x1)
m=(2-1)/(4-0)
m=1/4
Mr. Cutler makes day bricks and clay tiles to sell at maker fairs. It takes him 10 minutes to make a brick and
uses 3 pounds of clay and each tile uses 2 pounds of day. He has 160 minutes available for making the bric
clay on hand.
If he makes a profit of $2 on each brick and $3 on each tile, how many bricks and tiles should he make to m
A
Mr. Cutler should make 0 bricks and 8 tiles to maximize his profit.
B
Mr. Cutier should make 7 bricks and 2 tiles to maximize his profit.
OC Mr. Cutier should make 7 bricks and 0 tiles to maximize his profit.
D. Mr. Cutier should make 2 bricks and 7 tiles to maximize his profit.
Answer:
d
Step-by-step explanation:
if anyone can help me it would be appreciated I will give out 50 points I need answers quick.
Answer:
Step 4
Step-by-step explanation:
Tasha was correct in all the steps leading up to the fourth one. However, in the fourth step was where she messed up.
She said that: [tex]\frac{1}{256} =-\frac{1}{4^{-4}}=4^{-4}[/tex]
However, when we have a negative exponent, in order to get rid of the negative, we simply take the reciprocal of the number and then make the exponent positive. Here, the answer should be:
[tex]\frac{1}{256} =\frac{1}{4^{4}}=4^{-4}[/tex]
Answer:
Step 4
Step-by-step explanation:
1/256 = 4^-4 or 1/4⁴
What is the circumference of a circle with a diameter of 9 inches? (use for pi)
27 in.
24in.
28in.
30 in.
(show work)
PLZ HELP MEH :-:
Answer:
i think it would be 28.26
Step-by-step explanation:
because C=2 pie r and D=2 r (solving for C=pie d =pie . 9 = 28.27433 then just round and thats how you get 28.27 (sorry if its confusing) (im not good at explaining but i am smart)
need help quickly plz
Answer:
m<A = 20
Step-by-step explanation:
6y plus 3y = 9y
180 divided by 9 = 20
20x6=120
20x2=40
120+40=160
a triangle is equal to 180 so..
180-160=20
i did 6y + 3y because that line is 180 degrees ( half of a circle)
Find the exact circumference of a circle with an area equal to 36π sq. in.
1. 12π
2. 18π
3. 324π
Answer:
C = 12 pi
Step-by-step explanation:
The area of a circle is given by
A = pi r^2
36 pi = pi r^2
Divide each side by pi
36 = r^2
Take the square root of each side
sqrt(36) = sqrt (r^2)
6 =r
We can find the circumference
C = 2 * pi *r
C = 2* pi *6
C = 12 pi
Answer:
first option
Step-by-step explanation:
Complete the equation 3 x 18 = 3 x ____ x 9
Need answer ASAP
Answer:
2
Step-by-step explanation:
Since the 3's are the same on either side, you need to find a number that, when multiplied by 9, yields 18. The only number that satisfies that is 2, which is the answer. Hope this helps!