Answer:
20x - 16
Step-by-step explanation:
We can first do 1/2 (36x - 14), getting 18x - 7.
Then our expression becomes 18x - 7 + 2x - 9.
We can combine like terms, getting 20x - 16.
What is the value of 3 minus (negative 2)?
Answer:
5 I think I'm pretty sure
The function g(x) = 3x3 + x is an odd function. Which transformations of g(x) would result in odd functions? Check all that apply. –g(x) g(2x) g(x − 1) g(x) − 3 g(–x)
Answer:
-g(x), g(2x), g(-x)
Step-by-st-ep explanation:
if f (–x) = f (x), so all of the signs are the same
you can also try on desmos, the graph is more helpful than words explain sometimes
The functions that are odd are -g(x), g(2x), and g(-x). The correct option is A, B, and E.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
For an odd function, -f(x) = f(-x).
Given that the function, g(x) = 3x³ + x is an odd function. Therefore, the transformation of the function that will again result in an odd function is,
A.) –g(x)
-g(x) = -(3x³ + x) = -3x³ - x
g(-x) = 3(-x)³ + (-1x = -3x³ - x
Thus, this is an odd function.
B.) g(2x) ⇒ Since this will result in the same function, the only difference will be that the function will be vertically stretched.
E.) g(–x)
-g(x) = -(3x³ + x) = -3x³ - x
g(-x) = 3(-x)³ + (-1x = -3x³ - x
Thus, this is an odd function.
Hence, the functions that are odd are -g(x), g(2x), and g(-x).
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A monitor with dimension ratio of 16:9 is playing a video imagine with a dimension ratio 3:4 at its fullest size which left a pillar boxed imagine what percent of the screen area is occupied the imagine
Answer:
75%
Step-by-step explanation:
The image is 4 : 3 = 12 : 9. It is displayed on a screen that is 16 : 9, so it occupies 12/16 = 3/4 of the screen.
75% of the screen area is occupied
a basketball team won 10 games and lost 15. what is the ratio of wins to the total number of games
Answer:
The total number of games =25 which is 10+15
then the number of wins are 10.
which is 10/25.
A ratio shows us the number of times a number contains another number. The ratio of wins to the total number of games is 2/5.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given that a basketball team won 10 games and lost 15. Therefore, the total number of games that the team plays is,
Total number of games = games won + games lost
= 10 + 15
= 25
Now, the ratio of wins to the total number of games can be written as,
Ratio = Games Won/ Total number of games
= 10/25
= 2/5
Hence, the ratio of wins to the total number of games is 2/5.
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Write (5)(5)(5)(5) in exponential form. A. 5 to the 4th power B. 4 to the 5th Power C. 625
Answer:
A. 5 to the fourth power
what is 1 3/5 as a improper fraction
Answer:
8/5
Step-by-step explanation:
1= 5/5
3/5 + 5/5
= 8/5
Improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).
What is improper fraction?
" Improper fractions are defined as the fractions whose value of the numerator is equals to or greater than it denominator."
Formula used
Convert Mixed fraction to improper fraction
[tex]r\frac{p}{q}[/tex] = (q ×r +p) /q
According to the question,
Given mixed fraction,
[tex]1\frac{3}{5}[/tex]
Substitute the value in the above formula to get improper fraction,
= (5×1 + 3) / 5
= ( 8 / 5)
Numerator 8 > denominator 5
Hence, improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).
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Which fraction is equivalent to 80%?
Answer:
4/5
Step-by-step explanation:
80% is equivalent to 80/100
80/100 can be simplified into 8/10 by dividing both sides by 10
8/10 can be further simplified into 4/5 by dividing both sides by 2
4/5 can not be simplified any further
Please help me on this question :(
The main table is at the top. This is what it would look like if you filled out your blank boxes. The second section below shows scratch work to help form the more complicated columns.
=========================================================
Explanation:
We have two atomic variables p and q. They can each take on values of True (T) or False (F).
There are 2*2 = 4 combinations of T and F as shown below
T,T ... both trueT,F ... p is true but q is falseF,T ... p is false, but q is trueF,F ... both are falseThat takes care of the first two columns of the table. Note how there aren't any other ways to have two truth values together.
The third column ~q is where we flip everything in the q column. So if q is true, then ~q is false, and vice versa. A similar situation happens with the ~p column as well.
The ~p v q column is where we apply a disjunction to ~p with q. The V stands for "or". It means either ~p is true or q is true. If either are true, then (~p v q) is true. Otherwise it's false. Put another way, (~p v q) is only false when both ~p and q are false together.
The last column is the entire expression ~q ^ (~p v q). We apply a conjunction to the ~q column and the (~p v q) column. Both expressions must be true for the entire ~q ^ (~p v q) to be true, otherwise it's false.
Let me know if you have any questions. It's probably tricky to wrap your head around at first, but hopefully the table clears things up.
The scratch work section is to show how the fifth and sixth columns are formed.
Question 2
At how many values of a(0° < a < 360°) does pentagon A'B'C'DE' coincide with pentagon ABCDE? What is significant about this
number?
Answer: each time the pentagon is rotated 72, it maps back onto itself. There are five values of a for which the pentagon maps back onto itself. this is the same as the number of sides of the pentagon.
Step-by-step explanation: edmentum
A regular pentagon has 5 congruent sides and a measure of 360 degrees, at its center.
Pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)
The angle where pentagon ABCDE and pentagon A'B'C'D'E coincide is:
[tex]\mathbf{\theta = \frac{360}{5}}[/tex]
[tex]\mathbf{\theta = 72}[/tex]
Other angles between 0 and 360 degrees, where pentagon ABCDE and pentagon A'B'C'D'E coincide are multiples of 72.
So, we have:
[tex]\mathbf{a = 72^o,\ 144^o,\ 216^o,\ 288^o}[/tex]
The count of angles is 4
Hence, pentagon ABCDE and A'B'C'D'E coincide at 4 values of (a)
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For the given word problem, identify the specific quantity. An environmental group is planting trees in a park. The group wants to plant 32 trees in all and have already planted 11 trees. If the group can plant 3 trees per hour, how long will it take it to finish? 11 3 32 t
Answer:
32
Step-by-step explanation:
its the end amount/quanity
A pound of raisins costs $2.00, and a pound of almonds costs $5.00. Six pounds of a trail mix contains 2 more pounds of raisins than almonds. What is the cost of the 6 pounds of trail mix?
Answer:
18.00 because 1 pound is 5.00, 1 plus 2 is 3 so 5 x 3 = 18
Step-by-step explanation:
6 pounds of a trail mix contains 2 more pounds of raisin than almonds
i.e.
Suppose:
raisins = r; andalmonds = a6 pounds of trails will contain a pound of almond (a) and two more pounds of raisin i.e. (a +2)
∴
a + (a+2) = 6
2a + 2 = 6
2a = 6 -2
2a = 4
a = 2
It implies that there are:
2 pounds of almond; and= (a +2) pounds of raisins
= (2+2) pounds of raisins
= 4 pounds of rasins
Provided that:
a pound of raisins costs = $2.00 a pound of almonds costs = $5.00∴
The total cost of the 6 pounds of trails mix will be:
= 2($4.00) + 2($5.00)
= $8.00 +$10.00
= $18.00
Therefore, we can conclude that the total cost of 6 pounds of trail mix is $18.00
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Each person at a picnic chose atleast one piece of a fruit one third of the people chose an apple three -quaters of the people chose a orange what fraction of the people chose both of them
Answer:
-1/12x
Step-by-step explanation:
Let total people at the picnic=x
People who chose apple= 1/3x
People who chose orange= 3/4x
People who chose each of the fruit= People who chose apple + People who chose orange
=1/3x + 3/4x
= 4x+9x / 12
=13/12x
People who chose each of the fruit= 13/12x
what fraction of the people chose both of them?
Fraction of the people who chose both fruits= Total people at the picnic - People who chose each of the fruit
=x - 13/12x
=12x- 13x /12
= -1/12 x
In which quadrant is the point (1.-2) located? (Remember to use Roman Numerals to write the quadrant numbers.) C 40 A B
(1,-2) is one point to the right on the x-axis and two points downwards on the y-axis which is point B OR Quadrant IV. try to memorize the quadrants and remember they are read right to left, downward, then left to right.
Directions: Circle the best answer.
7. Which does not represent an integer?
A. O
B.
18
2
C. VO
D.
FE
Type here to search
RI
^ D d
11:48 PM
8/26/2020
The anwser need help
Find the distance between the points (-3, 5) and (6,5)
Answer:
9
Step-by-step explanation:
Since the y coordinates are the same the distance is found by looking at the x coordinates
6 - -3
6+3
9
The distance is 9 units
Can you guys help me with this ?
Answer: think it’s b
A Jar contains 4 white chips, 5 purple chips, and 1 black chip. Chips are selected randomly one at a time, and are not
replaced
P(white, then purple, then black)
Answer:
1 / 36
Step-by-step explanation:
There are 4 + 5 + 1 = 10 chips so there are 10 * 9 * 8 = 720 ways to choose 3 chips and not replace them. There are 4 ways to choose the white chip, 5 ways to choose the purple chip and 1 way to choose the black chip so there are 4 * 5 * 1 = 20 successful ways, therefore, the probability is 20 / 720 = 1 / 36.
Find the inverse of f(x) = x-7/ 4
Answer:
inverse of f(x)=x7−4 f ( x ) = x 7 - 4 .
The water level as a river recedes after a flood is measured at regular intervals, and its height relative to normal, in inches, follows the sequence below. If the sequence continues, what do you expect the 7th measurement to be? 16, 9, 2, –5, ...,
Answer:
-26
Step-by-step explanation:
Given the sequence:
16, 9, 2, –5, ...,
To find:
7th measurement, if the above sequence continues:
Solution:
Let us examine the given sequence first:
First term is 16
Second term = 9
Third term = 2
Fourth term = -5
Difference between 2nd and 1st term = 9 - 16 = -7
Difference between 3rd and 2nd term = 2 - 9 = -7
Difference between 4th and 3rd term = -5 - 2 = -7
We can see that there is a common difference of -7 between each term.
That means, the sequence is in Arithmetic Progression.
whose first term, [tex]a=16[/tex]
Common difference, [tex]d=-7[/tex]
To find:
7th term i.e. [tex]a_7=?[/tex]
Solution:
Formula for [tex]nth[/tex] term of an Arithmetic Progression is given as:
[tex]a_n=a+(n-1)d[/tex]
Let us put [tex]n=7[/tex]
[tex]a_7=16+(7-1)\times (-7)\\\Rightarrow a_7=16+6\times (-7)\\\Rightarrow a_7=16-42\\\Rightarrow \bold{a_7=-26}[/tex]
7th measurement will be -26.
Answer:
7th measurement= -26
Step-by-step explanation:
The sequence is 16, 9, 2, –5, ...,
First term( a)= 16
Second term=9
Common difference (d) = 9-16
Common difference= -7
The sequence is a arithmetic progression
For AP's ,the terms formula is
Term(n) = a + (n-1)d
Where n represent the term to be found
In this case,we Are looking for the 7th term , so n= 7
Term(7) = 16+ (7-1)-7
Term(7)= 16 +6(-7).
Term (7) = 16-42
Term(7) = -26
7th term =-26
3 cakes
25 people
?
125 people
6 2 need help on this asap
Answer:
if its 6² it means 6×6 =36
Answer:
36
Step-by-step explanation:
6² = 6 × 6 = 36
Note any number squared, raised to the power of 2 is the number multiplied by itself.
The number of private investigators is expected to increase from 25,000 in 2009
to 30,000 in 2019. If there are 312,500 police officers in 2009, how many police
officers must there be in 2019 to have a greater percent increase than that of
private investigators? *
Answer:
[tex]375001[/tex] police officers
Step-by-step explanation:
[tex]\frac{30,000}{25,000} = \frac{30}{25} = \frac{120}{100} = 1.2[/tex]
That's a 20% increase.
So increase the police by 20% gets you:
[tex]312500 * 1.2 = 375000[/tex]
Based on the wording of the question, if you want a greater percentage, the answer should be a single policeman more, thus 375,001.
Find the domain and range of the function represented by the graph. A Domain: {−2,−1,1,2} Range: {−2,1,2}{−2,1,2} B Domain: −2≤x≤2 Range: −2≤y≤3 C Domain: {−2,1,2} Range:{−2,−1,1,2} D Domain: −4≤x≤4 Range: −4≤y≤4
Answer:
B) Domain: -2≤x≤2 Range: -2≤x≤3
Step-by-step explanation:
The domain is the x-values, in this case all the numbers between -2 and 2. The range is the y-values, which are the numbers between -2 and 3. So the answer is
B) Domain: -2≤x≤2
Range: -2≤x≤3
(b + 3g)a = 9
solve for a.
Answer: a=
−1
3
b+3
Step-by-step explanation:
(8 x 106 ) / (4 x 103 ) = ?
(the 10 stands for the 0 in scientific notation)
Answer:
3.2 x 10^12
Step-by-step explanation:
80000000/40000
Answer:
Answer:
3.2 x 10^12
Step-by-step explanation:
80000000/40000
What is the factored form of the expression 9x2 + 6x + 1?
O (3x - 1)2
O (3x + 1)2
O (9x + 1)2
O (9x - 1)
Answer:
(3x + 1)²
Step-by-step explanation:
Given
9x² + 6x + 1 ← is a perfect square of the form
(ax + b)² = a²x² + 2abx + b²
Compare like terms to find a and b
a²x² = 9x² ⇒ a² = 9 ⇒ a = [tex]\sqrt{9}[/tex] = 3
b² = 1 ⇒ b = [tex]\sqrt{1}[/tex] = 1
and 2ab = 2 × 3 × 1 = 6
Thus
9x² + 6x + 1 = (3x + 1)²
Answer:
(3x + 1)^2
Step-by-step explanation:
The first and last terms are perfect squares. From its structure, this is a perfect square trinomial.
All of the symbols in the expression 9x2 + 6x + 1 are positive, so use the rule for the square of the sum of two terms.
In the given expression, a2 = 9x2 and b2 = 1, so a = 3x and b = 1.
2ab = 2(3x)
= 6x
This result matches the middle term in the polynomial expression, 6x, so apply the rule for the square of the sum of two terms.
The expression 9x2 + 6x + 1 is equal to (3x + 1)2.
8x + 2+ 4y; x = 9, y = 2
Answer: 82
Step-by-step explanation:
We simply need to substitute the values for x and y into the equation
Both variables are already given to us, x=9, y=2
8(9)+2+4(2)
72+2+8
82
What is the domain of g?
Answer: The domain of G is 4
Step-by-step explanation:
The domain is the set of all inputs that makes the function definable. The domain is always represented on the x axis.So looking at g on its x axis you see 4. So the domain is 4.
Answer:
4
Step-by-step explanation:
Complete the equation of the line whose slope is -2 and y intercept is (0, -8)
Answer:
y = -2x-8
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -2x + -8
y = -2x-8
List down all the possible. perfect squares that fall within the given ranks
Answer:
BelowStep-by-step explanation:
(a). 5 to 30
[tex]9,16 , 25[/tex]
(b) . 100 to 200
[tex]100, 121 ,144, 169 , 196[/tex]
(c). 200 to 300
[tex]225,256,289[/tex]
(d). 300 to 400
[tex]324, 361,400[/tex]
(e). 400 to 550
[tex]400 , 441,484,529,[/tex]
Answer:
5-30
(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)
Step-by-step explanation: