Let x be the variable, and the unknown that gives the number of games Dave's favorite team has won.
Let y be the variable that express the number of games Kimiko's favorite baseball team has won.
Since Dave's favorite baseball team has won 10 games less than Kimiko's favorite baseball team, we can express this situation this way :
y - 10 = xy = x+10If
,
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]
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)
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
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
Write the equation of the line parallel to y = 1/3x- 6 that passes through the point (-12,3) in slope-intercept form
Answer:
[tex]y=\frac{1}{3} x+7.[/tex]
Step-by-step explanation:
all the detail are in the attached picture, here is the short explanation step-by-step:
1) to select the values of slope and interception from the given equation;
2) using the rule of parallel lines to find the slope of the required line;
3) to write the required equation (the value of slope is known, the value of interception is inknown);
4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;
5) to make up the required equation using calculated slope and interception.
-(-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.
Bronwyn wants to buy a house, so she has decided Savings to save one quarter of her salary. Bronwyn earns $47.00 per hour and receives an extra $28.00 a week because she declined How many hours must she work each week to achieve her goal? company benefits. She wants to save at least $550.00 each week.
Answer:
her goal is to have money 21250
I hope it helps u
Determine the expression for the perimeter of a rectangle with a length that is five less than twice its width
Solve the equation
X-5 = - 4x-5
..
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
O A. The solution is
(Simplify your answer.)
OB. The solution is all real numbers.
O C. There is no solution
Step-by-step explanation:
x - 5 = -4x - 5
x + 4x = -5 + 5
5x = 0
x = 0/5
x = 0
A. x = 0
B. Yes, 0 is a real number
C. There is a solution
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!Please Help!!! Will give brainliest
Answer:
all limits exist.
Step-by-step explanation:
plz see in the picture for more explaination.
Can someone help me please :00
Answer:
according to the dark spots which shows where each number goes to, it would be D.-2
A new car has a list price of $28,500 . Suppose that the dealer markup on this car is 10%. What is the dealer's cost?
Answer: 25650
Step-by-step explanation: 10% of 28500 is well 2850
28500-2850=25650
(if only i could get good rates on my car)
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!
how high is a tree that cast a 23 ft Shadow at the same time a 6 ft pole has a shadow which is 14 feet long
Answer:
9.857142857 ft
Step-by-step explanation:
We can use a ratio to solve
23 ft shadow 14 ft shadow
-------------------- = ---------------
x ft high 6 ft high
Using cross products
23*6 = 14 * x
Divide each side by 14
23*6/14 = x
9.857142857 ft
if SP is equal to rupees 400 and loss percent is 20% find CP
100-20=80%=400
[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]
[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]
[tex]\\ \rm\longmapsto CP=5(100)[/tex]
[tex]\\ \rm\longmapsto CP=500[/tex]
Step-by-step explanation:
Given,
S.p.=Rs400
Loss percent(L%) =20%
C.p.=?
We know,
S.p. =(100-L) % of c.p.
or,400=(100-20)% *c.p.
or,400=80% *c.p.
or, 400=80/100*c.p.
or,c.p.=Rs.500
Here, c.p.=Rs.500
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
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!
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!
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).
mary bought 8 pounds of granola at 3.10 a pound for a family hiking trip how much did spend altogether?
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!
Can you help me plzz i need it quick
Answer:
okbhyuugggfububububhhhukjgyi
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
Pat was 32 when his daughter Emma was born, and 36 when his son Andy was born. If the sum of the tree ages is now 100, how old is Andy Now?
What set(s) does the number ✓95 belong to? Mark all that applies: Natural, Whole, Integers, Rational, Irrational
Hi there!
»»————- ★ ————-««
I believe your answer is:
Irrational
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻[tex]\rightarrow \sqrt{95} = 9.74679...\\\\\text{This does \textbf{NOT} simplify into a whole number. This means that it's not a perfect square.}\\\\\text{Since } \sqrt{95} \text{ is not a perfect square, it is \textbf{irrational.}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Please help with this worksheet I don’t know any of it
Answer:
4. 1/25
5. 1/16
6. 2/9
7. 5/567
8. 1/40
9. 2/175
10. 1/30
11. 2/5
12. 9/8
13. 4/3
14. 1
Step-by-step explanation:
sorry I only know how to do 4-14. I hope this helps you.
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
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!
Integrate f(x,y,z) = (x+y+z) / (x^2 +y^2 + z^2) over the path r(t) = 2ti +2tj +t k, 0
The information about the path is incomplete, so I'll just use a domain of a ≤ t ≤ b, where a > 0 and b < ∞.
Differentiating r(t) gives
[tex]\vec r(t) = 2t\,\vec\imath + 2t\,\vec\jmath + t\,\vec k \implies \dfrac{\mathrm d\vec r(t)}{\mathrm dt} = 2\,\vec\imath + 2\,\vec\jmath + \vec k[/tex]
with magnitude √(2² + 2² + 1²) = √5.
Then we have
[tex]\displaystyle \int_C f(x,y,z)\,\mathrm ds = \int_a^b f(2t,2t,t) \left\|\frac{\mathrm d\vec r(t)}{\mathrm dt}\right\| \,\mathrm dt \\\\= \sqrt5 \int_a^b \frac{2t+2t+t}{(2t)^2+(2t)^2+t^2}\,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{5t}{5t^2} \,\mathrm dt \\\\ = \sqrt5 \int_a^b \frac{\mathrm dt}t \\\\ = \sqrt5 (\ln(b)-\ln(a)) = \boxed{\sqrt5 \ln\left(\frac ba\right)}[/tex]