Answer:
Step-by-step explanation:
4(x-3) =16
4x- 12=16
4x=28
8x=56
Answer:
8x = 56
Step-by-step explanation:
Solve for x by isolating it.
Divide both sides by 4
(x-3) = 4
Add 3 to both sides
x = 7
Now plug 7 in for x
8(7) = 56
22. What is the average(arithmetic mean) of all the integers
from -39 to 40, inclusive?
This range contains 80 numbers (40 in 1-40, and another 40 in -39-0).
We have
S = 1 + 2 + 3 + … + 38 + 39 + 40
S = 40 + 39 + 38 + … + 3 + 2 + 1
==> 2S = (1 + 40) + (2 + 39) + … + (39 + 2) + (40 + 1)
==> 2S = 40 × 41
==> S = 820
and
T = 0 + 1 + 2 + … + 37 + 38 + 39
T = 39 + 38 + 37 + … + 3 + 2 + 1
==> 2T = (0 + 39) + (1 + 38) + … + (38 + 2) + (39 + 0)
==> 2T = 40 × 39
==> T = 780
The average of the numbers in this range is equal to the total divided by the amount of numbers in the range, so
average = (40 + 39 + … + 1 + 0 + (-1) + … + (-38) + (-39))/80
average = (S - T )/80
average = (820 - 780)/80
average = 40/80 = 1/2
please help me. thank you so much
Answer:
D. On sale at 60% of the original price
Step-by-step explanation:
That just means they are taking off 40% off the original price.
I hope this helps!
pls ❤ and mark brainliest pls!
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
eg jammu jdndhdbshsbsbs
Answer:
A: [tex]3\frac{1}{3}[/tex]
B: [tex]3\frac{2}{3}[/tex]
I hope this helps!
pls ❤ and mark brainliest pls!
Use the approach in Guass's Problems to find the following sum of arithmetic sequence
a. 1+2+3+4...+101
b. 1+3+5+7...+997
c. 4+9+14+19...+494
d. 881+872+863+854+...+8
a. The sum of the sequence is
Answer:
a) 5151 b) 249001 c)24651 d)43561
Step-by-step explanation:
a) a1=1 a2=2
d=a2-a1= 2-1=1
Define the quantity of the terms of this sequence
an=a1+d(n-1)
101= 1+ 1(n-1)
n=101
Sn= (a1+an)/2*n=( (1+101)/2)*101=51*101=5151
b) a1=1 a2=3
d=a2-a1=3-1=2
an=a1+d(n-1)
997= 1+ 2(n-1)
498= n-1
n=499
Sn= (a1+an)/2*n= (1+997)/2*499= 249001
c) a1=4 a2=9
d=a2-a1=9-4=5
an=a1+d(n-1)
494=4+5(n-1)
n=99
Sn= (a1+an)/2*n=( 4+494) /2*99= 498/2*99= 249*99= 24651
d) a1=881, a2=872
d=a2-a1= 872-881=-9
an= a1+d(n-1)
8=881-9*(n-1)
9(n-1)= 873
n=98
Sn= (a1+an)/2*n= (881+8)/2*98= 889*49= 43561
Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15
Answer:
x ≠ -4, -1, 3
Step-by-step explanation:
12/(x^2+5x+4) = 8x/(5x-15)
12/((x+1)(x+4)) = 8x/(5(x-3))
division by zero is undefined
There are 3 answers to your question. x= -1 x= 3 x= -4
No clue what I’m doing. Please help.
Answer:
n1= -4
n2= 1
n3= 6
Step-by-step explanation:
the n column represents the numbers that are in n's place
eg n=1
n=2
n=3
5x1 - 9
5x2 -9
5x3 -9
Answer and Step-by-step explanation:
What this question wants you to do is fill out the right side (or the outputs) of the table.
To do this, plug in the value of n into the equation and solve.
n = n, 5n - 9
n = 1, 5(1) - 9 = -4
n = 2, 5(2) - 9 = 10 - 9 = 1
n = 3, 5(3) - 9 = 15 - 9 = 6
So, the values (in bold) should go into the table as so:
1 | -4
2 | 1
3 | 6
#teamtrees #PAW (Plant And Water)
I hope this helps!
mary bought 8 pounds of granola at 3.10 a pound for a family hiking trip how much did spend altogether?
2. Consider the addition operations below and choose whether the result can be
rational, irrational, or both.
Expressions
Rational
Irrational
4/5 + 3 /
(2 + 657) + (-655
√ √ + 2 VA
A number divided by 4 plus 3 is 8
Answer:
[tex]number = x \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 5 \\ x = 20 \\ thank \: you[/tex]
Answer:
[tex]let \: the \: number \: be \: x \: \\ then \: \\ \frac{x}{4} + 3 = 8 \\ \frac{x}{4} = 8 - 3 \\ \frac{x}{4} = 5 \\ x = 5 \times 4 \\ x = 20 \\ \: hence \: 20 \: is \: your \: answer \:hope \: it \: helped[/tex]
9,909.937 rounded to the nearest whole number
Answer and Step-by-step explanation:
To round to the nearest whole number, you look at the number in the tenths place.
- If this number is 5 and higher, then you round up (the number to the left of the tenths place [the ones place]).
- If it is lower than 5, then the number (in the ones place) stays the same.
9 is greater than 5, so we round up.
9,910 is the answer.
#teamtrees #PAW (Plant And Water)
I hope this helps!
Find the slope of the line passing through the points ( 9, -5) and (1, -1)
Answer:
m = - [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] )
( [tex]x_{2}[/tex] , [tex]y_{2}[/tex] )
m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{2} }[/tex]
~~~~~~~~~
( 9 , - 5 )
( 1 , - 1 )
m = ( - 1 - ( - 5 ) ) / ( 1 - 9 ) = - [tex]\frac{1}{2}[/tex]
Which is the solution to the inequality below?
1x + 2 + 5 4
0 -3 < x < -1
no solution
O x < -3
O x > -1 or x < 3
Answer:
ox,-3
Step-by-step explanation:
add 6 to the difference between 9 and 7
a) 7- (9 + 6)
b) (7 - 9) + 6
c) (9 - 7) + 6
d) 9 - (7 + 6)
What is the answer to this?
Answer:
18
Step-by-step explanation:
x+11=3x-25
36=2x
x=18
what is the greatest digit formed by 5 6 7 8 and 9
Answer:
98765 is the greatest digit that can be formed using those numbers
The school band has d drummers and 5 violinists. There are 2 more violinists than drummers. Which of the following equations represents the situation?
Answer:
A d = 5+2
Step-by-step explanation:
There are two more drummers than violinists
There are 5 violinists
5 + 2 = d
or in other words, d = 7
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Please Help!!! Will give brainliest
Answer:
all limits exist.
Step-by-step explanation:
plz see in the picture for more explaination.
PLEASE HELP ASAP
in a sample of people on the school board 2 out of 5 were in favor of a new high school being built. if 3,500 people vote in the new local election approximatelyhow how many would vote aginst the new high school being built?
Answer:
2,100 people
Step-by-step explanation:
~Divide to find the number of people in fifths
3,500 / 5 = 700
~Multiply to find 2/5 of the total people
700 * 2 = 1,400
~Subtract to find the number of people against building the school.
3,500 - 1,400 = 2,100
Best of Luck!
Answer and explanation?
Answer:
∠HDG = 117°
∠FDG = 180°
Step-by-step explanation:
∠FDG:
Since ∠FDG is a straight line, it measures 180°. This is because every straight line measures 180°.
∠HDG:
∠HDG = ∠FDG - ∠FDH
∠HDG = 180° - 63°
∠HDG = 117°
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!-(-v+y)-4(2y-4v)
How do I simplify this?
Step-by-step explanation:
hope you understand.
first simplify it by arranging correct signs then it's just subtraction or addition.
Power Function:
Exercise: Recognize and analyze the graph of the power function as the exponent "n" and the coefficient "a" vary.
1. Consider a positive exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
2. Consider a negative exponent power function
A) Describe the graph of the function when n is even, for this you must attach an image of the graph of the function that meets these conditions.
B) Describe the graph of the function when n is odd, for this you must attach an image of the graph of the function that meets these conditions.
C) Describe what happened when the coefficient a is positive and also when it is negative. Is there any change in the graph?
D) Describe what happened when the coefficient a increases or decreases. What happens to the graph of the function?
9514 1404 393
Explanation:
For this purpose, we define your power function as ...
f(x) = a·x^n
Most of the description here applies to any function. A "power function" is a special case of a polynomial function in that it only has one term. The parity of the exponent (even, odd) tells you whether the function is even or odd. As with any even or odd function, there will be a certain symmetry:
f(-x) = f(x) . . . even function; symmetrical about the y-axis
f(-x) = -f(x) . . . odd function; symmetrical about the origin
__
The coefficient of the function is the vertical scale factor. As with the vertical scale factor of any function, when it is negative, the function graph is reflected in the x-axis. When it increases in magnitude, points on the graph move farther from the x-axis; closer when it decreases.
__
1.A) The red graphs in the first attachment are graphs of f(x) = ax^2 for different values of 'a'. As described above, the graph is symmetrical about the y-axis.
B) The black graphs in the first attachment are graphs of f(x) = ax^3 for different values of 'a'. As described above, the graph is symmetrical about the origin.
C) As described above, when the coefficient is negative, the graph of the parent function is reflected across the x-axis. The dashed-line graphs in the first attachment are graphs of the function with a negative coefficient.
D) As described above, the coefficient is the vertical scale factor. Changing it stretches or compresses the graph vertically. The dotted red graph in the first attachment shows a vertical expansion; the dashed black graph shows a vertical compression (reduction in the coefficient magnitude).
__
2.The second attachment shows graphs with negative exponents. Otherwise, the graphs are scaled and reflected the same as they were in Part 1.
A) As described above, the graph is symmetrical about the y-axis.
B) As described above, the graph is symmetrical about the origin.
C) As described above, a negative coefficient causes the graph to be reflected across the x-axis.
D) As described above, the magnitude of the coefficient affects the distance of the graph from the x-axis. Increasing magnitude increases the distance; decreasing magnitude decreases the distance (proportionally).
67. Evaluate 2a - 3 when a = - 5
Answer:
-13
Step-by-step explanation:
2a - 3, where a = -5
= 2(-5) - 3
= -10 - 3
= - 13
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textsf{2a - 3}\\\\\huge\textsf{= 2(-5) - 3}\\\\\huge\textsf{= -10 - 3}\\\\\huge\textsf{= -13}\\\\\\\huge\textsf{Therefore, your answer is: \boxed{\mathsf{-13}}}\huge\checkmark\\\\\\\huge\textsf{Good luck on your assignment \& enjoy your day!}\\\\\huge\textsf{Amphitrite1040:)}[/tex]
Ben paid $86 for 40 gallons of gas. How much would $15 gallons cost?
Answer:
32.25
Step-by-step explanation:
For 40 gallons of gas = $86
For 1 gallon of gas = 86/40 = $2.15
For 15 gallons of gas = 15 x 2.15 = 32.25
What is p (blue)? ......
Answer:
P(blue)= 0.25 or 1/4
Step-by-step explanation:
On this spinner, each spot is the same size; therefore, there is a 1 in 4 chance that the spinner lands on blue. This is because there are 4 options but only one of them is blue. Then, if you want a decimal just divide 1 by 4. This equals 0.25. Additionally. If you wanted the answer as a percentage multiply the decimal by 100, so the percentage would be 25%.
Find the solution for
2 - 3(x +4) = 8
Answer:
The answer is -6.
Step-by-step explanation:
2-3*(-6+4)=8
2−3
Solve: 2 In 3 = In(x-4)
Answer:
x = 13
Step-by-step explanation:
one of the rules of logarithm (for all bases, by the way, not just e for ln) is
[tex]a \times ln(b) = ln( {b}^{a} ) [/tex]
so, we have
ln(3²) = ln(x-4)
=>
3² = x - 4
9 = x - 4
x = 13
12. Write an expression for the phrase 3 times the quantity 7 less than m
A. 3(m - 7)
B. 317-m)
C. 3(m + 7)
D. 3 + m - 7
Answer:
A
Step-by-step explanation:
7 less than m=m-7
multiplied by 3 = 3(m-7)
Answer:
C. 3(m + 7)Step-by-step explanation:
First,
7 less than m = m - 7
Then,
3 times the quantity of 7 less than m = 3 ( m - 7 )
Hence,
Req. expression is 3(m-7)
If
,
then f(2) =
1/3
1
7
Answer:
7
Step-by-step explanation:
f(x) = 3x+1
f(2) means let x=2
f(2) = 3(2)+1
= 6+1
=7
[tex]\\ \sf\longmapsto f(2)[/tex]
[tex]\\ \sf\longmapsto 3(2)+1[/tex]
[tex]\\ \sf\longmapsto 6+1[/tex]
[tex]\\ \sf\longmapsto 7[/tex]
Answer pls urgent shhzhzhsensnsj
Answer:
1/6 + 1/2 = 1/6 + 3/6 = 4/6
SIMPLIFIED IS = 2/3
Step-by-step explanation: