Answer:
y=x^2 is a parabola when y is x squared
y=-x^2 is the first one but when it is flipped over the x axis
y=x^2+2 is the first one shifted two up
y=x^2-2 is the third one but shifted 4 units down
y=2x^2 is the first one but two times the square of x
Step-by-step explanation:
Describe and correct the error in finding the tenth term of the arithmetic sequence 4, 12, 20, 28.
(correct the error below!)
first term =4
common difference =8
tenth term =4 +10(8) = 84
Answer: The tenth term is 76
=======================================================
Explanation:
We use this arithmetic sequence formula to get the nth term
[tex]a_n = a_1 + d(n-1)[/tex]
Plug in [tex]a_1 = 4, \ d = 8, \ n = 10[/tex] and you should get the following:
[tex]a_n = a_1 + d(n-1)\\\\a_{10} = 4 + 8(10-1)\\\\a_{10} = 4 + 8(9)\\\\a_{10} = \textbf{76}\\\\[/tex]
The tenth term is 76
---------
We can verify this by listing out the terms one by one. Start at 4, add on 8 each time, until you generate the 10th term. A table like the one shown below is a good way to keep track of all the terms.
[tex]\begin{array}{c|c}\boldsymbol{n} & \boldsymbol{a_n}\\1 & 4\\2 & 12\\3 & 20\\4 & 28\\5 & 36\\6 & 44\\7 & 52\\8 & 60\\9 & 68\\10 & \textbf{76}\\\end{array}[/tex]
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In short, the error is with the "10" in the expression 4+10(8). The student should have used 9 instead. This is because of the n-1 term in [tex]a_n = a_1 + d(n-1)[/tex] which shifts everything one spot to the left.
The price of the trail mix at the health food store is $7.50 per pound at this rate what is total cost of 8 ounces bags of trail mix
Answer:
Below
Step-by-step explanation:
1 pound = 16 ounces
Therefore if you're looking for 8 ounces, divide $7.50 in half.
You get $3.75
Answer:
At this rate, the total cost of 8 ounce bag of trail mix would be $3.75.
Step-by-step explanation:
So first I found that for 1 LB (pound), there is 16 ounces so 8 oz is half of 16. If we know that, we have to divide 7.5 by 2 to get 3.75.
The table below shows a proportional relationship. True or False?
Answer:
True
Step-by-step explanation:
What is an equation of the line that passes through the points (2, -7)(2,−7) and (2, -2)(2,−2)
Answer:
X = 2
Step-by-step explanation:
Slope: (- 7 - -2)/(2 - 2) = -5/0 = 0
The line is vertical (undefined
ASP please
What is the slope of the line on the graph
Answer: 6
Step-by-step explanation:
Let's look at two points on this line (1, 5), and (0, -1)
Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])
[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]
[tex]\frac{6}{1}[/tex]
Hope it helps :)
Answer:
Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)
From point (0, -1) to point (1, 6) would look like this
(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7
Since you already have you y-intercept (where x is 0), your whole equation would be this:
y = 1/7x - 1
helppp plz is fue today
Answer:
Step-by-step explanation:
A CHOOSE A
Answer:
A
Step-by-step explanation:
sorry:c
The temperature of one furnace is 1,200°C and cools at a rate of 15°C per minute. The temperature of another furnace is 900°C and is heated at a rate of 5°C per minute. After how many minutes will the furnaces be the same temperature? Write the answer as a whole number or decimal. __ minute(s)
Step-by-step explanation:
how many cups of water do you need to fill fill one jar
A smart watch was marked 150 and is sold at 120. Find discount percentage
Step-by-step explanation:
100 % = 150
1% = 100%/100 = 150/100 = 1.5
the discount was 150 - 120 = 30.
how many percent are in 30 ? that is our discount preventative.
30/1.5 = 20
so, the watch was sold with 20% discount.
One of my grandmother's most vivid memories of Camp 3 was a riot between the Nisei and the Kibei. The Nisei and Kibei were Japanese Americans born in the United States, but they weren't all educated in America. The Nisei went to school in the United States, whereas the Kibei were mainly educated in Japan. Then they returned to the United States. In general, the Kibei opposed those Nisei who joined the U.S. Army to fight.
Answer:
Step-by-step explanation:
what is the question?
Alex paid $9 to park her car for 2 hours. Write an equation that shows the relationship between p, the numbers of hours parked, and c, the cost in dollars.
Answer:
Step-by-step explanation:
Parking charge for 2 hours = $ 9
Parking charge for 1 hour = 9/2 = $ 4.50
c = 4.50*p
c = 4.5p
pls help me with this:(((((
2: c
Step-by-step explanation:
3: a
by Supplementing each answer Into the equation
Step-by-step explanation:
what don't you understand about this ? did you never solve 2 equations with 2 variables ?
it is really easy. there are 2 main approaches :
1. substitution. you use one of the two equations to express one variable by an expression purely in the other variable. then you use that in the other equation (resulting in one equation with one variable) and solve it. with that result you go back to the other equation and calculate the other variable.
2. equation arithmetic. when the terms of at least one of the variables are similar in both equations, you can multiply (if needed) one or both equations (left and right side !) by a fitting number and then add it subtract one equation from the other, so that you are left with one equation in one variable, which you solve. with that result you go back to any of the original equations and calculate the other variable.
there would be a third option for questions like this :
3. trial and error. simply put the point coordinates as x and y into both equations, and see for what point(s) both remain true.
but in order to show you the methodical approaches, we will use substitution for question 2 and equation arithmetic for question 3.
2)
2x + y = 5
-x + 2y = 5
I use the first equation to transform. and I get
y = 5 - 2x
with that I go into the second equation :
-x + 2(5 - 2x) = 5
-x + 10 - 4x = 5
-5x = -5
x = 1
and with that I get
y = 5 - 2×1 = 5 - 2 = 3
so, C (1, 3) is the right answer.
3)
2x + y = 7
-x + y = 1
let's subtract the second equation from the first :
2x + y = 7
- -x + y = 1
------------------
3x + 0 = 6
3x = 6
x = 2
with that I go into one of the original equations :
-2 + y = 1
y = 3
so, A (2, 3) is the right answer.
Which linear equation represents a line with a slope of -7 and a y-intercept of 12
Answer:
Answer → y = -7x + 12
Step-by-step explanation:
General equation of a line:
[tex] \hookrightarrow \: { \tt{y = mx + c}} \\ [/tex]
m is the slopec is the y interceptFrom the question;
m is -7
c is 12
[tex]{ \tt{y = - 7x + 12}}[/tex]
x+y=3
2x-y=0
substituition method
Answer:
(1, 2 )
Step-by-step explanation:
x + y = 3 (subtract x from both sides )
y = 3 - x → (1)
2x - y = 0 → (2)
Substitute y = 3 - x into (2)
2x - (3 - x) = 0
2x - 3 + x = 0
3x - 3 = 0 ( add 3 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1)
y = 3 - 1 = 2
solution is (1, 2 )
PLEASE HELP!!
100 POINTS
5^a = 2^b = 10, what is a^-1 +b^-1
Answer:
1.
Step-by-step explanation:
5^a = 10
a log 5 = log 10
a log 5 = 1
a = 1 /log 5
a^-1 = log 5
In the same way:
b = 1 / log 2
b^-1 = log 2,
So a^1 + b^-1 = log5 + log 2 = log (2*5)
= log 10
= 1.
x²-x-(a+1)(a+2)
Find common multiple
Answer:
x2 - x - a2 - 3a - 2
Step-by-step explanation:
STEP 1
((x2) - x) - (a + 1) • (a + 2)
STEP 2
Final result :
x2 - x - a2 - 3a - 2
translate figure:RIGHT 2 DOWN 1
note:only use four point when drawing the translation
Answer:
Your answer is in the image linked below.
Step-by-step explanation:
When the shape is moved right 2, down 1, you should have this translation, hope this helps.
plsss help me again:((((
#carry on learning
A boat is carrying containers that weigh 2000 pounds each.
Use this information to fill in the table. Then plot the ordered pairs given by the table.
2 Weight?
4. Weight?
9. Weight?
Answer:
Write seven and twelve hundredths in standard form.
Step-by-step explanat
solve pls brainliest
Answer:
Integers are 55, -21/7, -35/7 ,
Step-by-step explanation:
Integers are whole number and their opposites. ... -3, -2, -1, 0, 1, 2, 3, ...
Integer
55 Yes Reason
83.61 No Not a whole number
-21/3 = -7 Yes Reduces to a whole number
-35/7 = -5 Yes Reduces to a whole number
-1/8 No Not a whole number, it is a faction
Find the ending balance if $500 was deposited at 5% annual interest compounded quarterly for 3 years.
Answer:
$575 ,
Step-by-step explanation:
5% of $500 is only $25
multiply that by 3YRS due to annual interest it would amount too
an addition $75 dollars so the answer is $575
What function represents the next graph?
[tex](x {}^{2} - 4) {}^{2} [/tex]
Brainliest me please please
I need some help please
The length is 5 units.
a transversal shown below.
True
or
False
Answer:
true
Step-by-step explanation:
because i just finished doing this in geometry
before dividing 0.0045 divided by 9 what will the dividends become after the decimals is moved
Answer:
wsjkolp
Step-by-step explanation:
qwdcdfvhbjnkml,;.
Answer this and explain please
Answer:
x = 12
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
8 + 6x is an exterior angle of the triangle , then
8 + 6x = 30 + 4x + 2
8 + 6x = 32 + 4x ( subtract 4x from both sides )
8 + 2x = 32 ( subtract 8 from both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Someone plz help me :(
Answer:
should be 7 let me know if i'm wrong
Which is the graph of linear inequality 6x + 2y > –10?
On a coordinate plane, a dashed straight line with negative slope goes through (negative 2, 0) and (0, negative 6). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with negative slope goes through (0, 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (0, negative 6) and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line with positive slope goes through (negative 2, 0) and (0, 4). Everything to the right of the line is shaded.
Hope it helps :) and let me know if you want me to explain why
Answer:
A
Step-by-step explanation:
DECYPHERED
Trevor has a collection of 600 dinosaur trading cards. If he has 60 pages in an album, how many cards can Trevor put on each page?
1
4
10
4
Answer:
10
Step-by-step explanation:
600 divided by 60 is 10
Help Please!!
Write an algebraic expression to model the unknown number problem.
the quotient of a number and nine
Which statements are true? Select all that apply
Answer: x/9
Step-by-step explanation: quotient means to divide. X is the unknown number and we divide this by 9.
Write the equation of a horizontal line going through the point (8, -1)
Answer:
y =-1
Step-by-step explanation:
An easy way to answer any type of these questions is looking at the part where it said "Write the equation of a horizontal line", if this is the case you have to look at the 2nd point given to you which is -1 and simply make y = to that. Having y = -1 covers every possible x value which is why it is valid.