Answer:
The values of y for which the inequality is true are;
-4,-3,-2,-1,1,0,1
Step-by-step explanation:
Here, we want to give all the values of y for which the given inequality is true
We have the inequality as;
-5 < y < 2
This can be read as -5 is less than 5 which is less than 2
This means that the correct y-values lie between -5 and 2 which are not inclusive
So the correct values of y in this case are;
-4,-3, -2, -1 , 0, 1
Work out the first four terms and the 10th term of the quadratic
sequence with
a T(n) = 2n2 + 4
b T(n) = 3n2-3
c T(n) = -3n2 + 7
d T(n) = 4n? -5
Answer:
a. The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b. The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c. The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d. The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Step-by-step explanation:
a.
∵ T(n) = 2n² + 4 is the rule of the sequence, where
n is the position of the number in the sequence∴ For the first term, n = 1
→ Substitute n by 1 in the rule above to find T(1)
∵ T(1) = 2(1)² + 4 = 2(1) + 4 = 2 + 4
∴ T(1) = 6
→ For the second term, n = 2
∵ T(2) = 2(2)² + 4 = 2(4) + 4 = 8 + 4
∴ T(2) = 12
→ For the third term, n = 3
∵ T(3) = 2(3)² + 4 = 2(9) + 4 = 18 + 4
∴ T(3) = 22
→ For the fourth term, n = 4
∵ T(4) = 2(4)² + 4 = 2(16) + 4 = 32 + 4
∴ T(4) = 36
→ For the tenth term, n = 10
∵ T(10) = 2(10)² + 4 = 2(100) + 4 = 200 + 4
∴ T(10) = 204
The first four terms and the 10th term are 6, 12, 22, 36, ......., 204
b.
∵ T(n) = 3n² - 3 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 3(1)² - 3 = 3(1) - 3 = 3 - 3
∴ T(1) = 0
→ For the second term, n = 2
∵ T(2) = 3(2)² - 3 = 3(4) - 3 = 12 - 3
∴ T(2) = 9
→ For the third term, n = 3
∵ T(3) = 3(3)² - 3 = 3(9) - 3 = 27 - 3
∴ T(3) = 24
→ For the fourth term, n = 4
∵ T(4) = 3(4)² - 3 = 3(16) - 3 = 48 - 3
∴ T(4) = 45
→ For the tenth term, n = 10
∵ T(10) = 3(10)² - 3 = 3(100) - 3 = 300 - 3
∴ T(10) = 297
The first four terms and the 10th term are 0, 9, 24, 45, ......., 297
c.
∵ T(n) = -3n² + 7 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = -3(1)² + 7 = -3(1) + 7 = -3 + 7
∴ T(1) = 4
→ For the second term, n = 2
∵ T(2) = -3(2)² + 7 = -3(4) + 7 = -12 + 7
∴ T(2) = -5
→ For the third term, n = 3
∵ T(3) = -3(3)² + 7 = -3(9) + 7 = -27 + 7
∴ T(3) = -20
→ For the fourth term, n = 4
∵ T(4) = -3(4)² +7 = -3(16) + 7 = -48 + 7
∴ T(4) = -41
→ For the tenth term, n = 10
∵ T(10) = -3(10)² + 7 = -3(100) + 7 = -300 + 7
∴ T(10) = -293
The first four terms and the 10th term are 4, -5, -20, -41, ......., -293
d.
∵ T(n) = 4n² - 5 is the rule of the sequence
→ For the first term, n = 1
∵ T(1) = 4(1)² - 5 = 4(1) - 5 = 4 - 5
∴ T(1) = -1
→ For the second term, n = 2
∵ T(2) = 4(2)² - 5 = 4(4) - 5 = 16 - 5
∴ T(2) = 11
→ For the third term, n = 3
∵ T(3) = 4(3)² - 5 = 4(9) - 5 = 36 - 5
∴ T(3) = 31
→ For the fourth term, n = 4
∵ T(4) = 4(4)² - 5 = 4(16) - 5 = 64 - 5
∴ T(4) = 59
→ For the tenth term, n = 10
∵ T(10) = 4(10)² - 5 = 4(100) - 5 = 400 - 5
∴ T(10) = 395
The first four terms and the 10th term are -1, 11, 31, 59, ......., 395
Helppp I need to pass critical! Oh um will give brainliest if requested!
Answer:
Subtraction property of equality (a)
The answer is A because the subtraction property of equality tells us that if we subtract from one side of an equation, we also must subtract from the other side of the equation to keep the equation the same.
4x + 6 = 8x – 10 graphing
Answer:
Step-by-step explanation: First things first, you have to have the variables on one side. To do that, subtract 4x from each side.
4x + 6 = 8x - 10
-4x -4x
Now you have your equation that is ready to graph.
6 = 4x - 10
Use a graphing calculator and put in the equation. You can also go to desmos.com
When you are done you will see your graph as well as the answer.
Task: 4 2/3 yards = ? feet
whats the rule
Answer:
4 2/3 yards = 14 feet
Step-by-step explanation:
1 yard = 3 feet
True or false? The circle above is 4 Square units.
Here you go :)
Hey, don't second guess yourself ok, you got this!!
The answer is True
________
Answered by James
i need help finding the value of n
Answer:
lakes 24
Step-by-step explanation:
HELP!!
Given h(x) = 4x – 1, solve for x when h(x) = -9.
Answer:
-2
Given:
h(x) = -9
Step-by-step explanation:
h(x) = 4x - 1
-9 = 4x - 1
-9 + 1 = 4x
-8 = 4x
-8/4 = x
x = -2
hope you understood❤
The solution for x when h(x) = -9 is -2
What is a linear equation?A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0. A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively
Given;
h(x) = 4x – 1...(1)
h(x) = -9
Substituting the value of h(x) in equation 1
-9=4x-1
-9+1=4x
-8=4x
x=-8/4
x=-2
Therefore, the solution for the equation will be x=-2
Learn more about linear equations;
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Plz help me I’ll give brainliest
Answer: (below)
Step-by-step explanation:
y = 2x + 1
slope = 2
y-int = (0, 1)
y = 3x - 1
slope = 3
y-int = (0, -1)
y = 4x
slope = 4
y-int = (0, 0)
y = -3x - 1
slope = -3
y-int = (0, -1)
y = -x - 4
slope = -1
y-int = (0, -4)
y = (2/5)x - 1
slope = 2/5
y-int = (0, -1)
what does a “mirror view” mean
Answer:
In mirror view, when you look at your self-view video, your video appears as if you were looking at your reflection in a mirror. The left and right sides of your image appear to be reversed.
Answer:
It means when a person can only see straight and not on the sides. For example, when you are looking at the computer screen, you also see things around it on the sides. By if a person has mirror view, the he only see only the thing directly in front of him and nothing else.
Step-by-step explanation:
Solve the system of equations..
y= 2x +42
y=8x
Answer:
x=7
Step-by-step explanation:
set up the equation equal to each other
8x=2x+42
subtract 2x from 8x.
equation should look like: 6x=42
divide 6x by 42
equal x=7
Answer:
x = 7
y = 56
Step-by-step explanation:
Sub y = 8x into first equation
8x = 2x + 42
Rearrange by collecting like terms
8x - 2x = 42
6x = 42
x = 7
Sub x = 7 into second equation
y = 8*7
y = 56
Somebody help ...............................
When I solve (1 + 5n^4 + n^2) + (8n^4 - 4 - n^2), is the answer -3 + 13n^4 + n^2 or just -3 + 13n^4
Answer:
Just -3 + 13n^4
Step-by-step explanation:
The difference of three times a number and 4 is 8. What is the value of n?
a. -1.3
C. 4
b. -4
d. 1.3
Answer:
It’s c
Step-by-step explanation:
I just did it in edg
Someone helppp pleasee
Answer:
Smaller
Step-by-step explanation:
the answer to 7 x 1/3 is 7/3 which is 2.333 in decimal form
therefore, 2.333 is smaller than 7
hopefully i was of help! :)
I neeeeed the answer ASP ILL GIVE BRAINLY
Answer:
Tree farm A mean = 8
Tree farm B mean = 8
Tree farm B
Step-by-step explanation:
Average the numbers
can someone help me with this please? asap
Answer:
C
Step-by-step explanation:
8^2-3^2=x^2
root x= root 55
PLEASE HELP ASAPPPPPPPPPPP
Answer:
3 inches.
Step-by-step explanation:
72 / 24 = 3.
hope that helps!
which equation represents a linear function?
number of your answer choice and the answer itself.
2. The point (5,-9) is the image under the translation (x, y) = (x + 4, y - 2). What is the pre-image?
1) (9,-11)
2) (1, -7)
3) (1, -11)
4) (20, 18)
+ Ac
Pear Deck Interactive Slide
Students, write your response!
Answer:
Answer: (1,-7)
Step-by-step explanation:
since the translation is under (x + 4, y - 2)
the symbols (+ and -) would change so the translation to use would be
(x - 4, y + 2)
so you plug in (5, -9) to the new translation and you get your answer which is (1,-7)
Solve for y.
-2 = y – 14
-2
the complement angle of 40 degree is
Answer:
50 degree angle
Step-by-step explanation:
Complementary angles add up to 90 degrees
QRS contains the points: Q(4, 2) R(5, 1) S(3, 7). If the triangle is reflected across the y-axis, what will S' be? ANDWER ASAP WILL GIVE BRAINLEST!!
Answer:
S'(-3, 7)
Step-by-step explanation:
The coordinate of point S' will be (-5, 1).
What is reflection?A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection.
What is the rule to find the reflection of a point in y-axis?The rules for finding the reflection of a point in y-axis are:
(i) Change the sign of abscissa, i.e. x-coordinate.
(ii) Retain the ordinate i.e., y-coordinate.
Therefore, when a point is reflected in the y-axis, the sign of its abscissa changes.
According to the given question.
We have a triangle QRS.
The coordinates of points Q, R, and S are (4, 2), (5, 1) and (3, 7) respectively.
Since, the triangle QRS is reflected across the y-axis .
Therefore, the coordinate of S' is given by
The sign of abscissa or x-coordinate of (5, 1) changes so, 5 changes to -5.
And the ordinate i.e. 1 will remain same.
Therefore, the coordinate of point S' will be (-5, 1).
Find out more information about reflection here:
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what is the change between -15 and 11
14. Given the function f(x) = 3x -9, what is the value of f(6)?
Answer:
f(6) = 3(6) - 9
Step-by-step explanation:
y = 3(6) - 9
y = 18 - 9
y / f(x) = 9
What does the graph of y = -4 look like?
Please help me I have no clue how to do this
Answer:
Try the answer B.
Step-by-step explanation:
Find the answer to the question below
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer:
0.336?
Step-by-step explanation:
If -2x -4 = -4x + 3, then does x = 3
Answer:
No it doesn't.
Step-by-step explanation:
what is the difference between an equal sign and an inequality sign?
Inequality sign means not equal (not same value)
Equal sign means equal (same value)
Answer:
Inequality is greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions
and equal is the sum of the problem
Step-by-step explanation:
need help answer quick
Answer:
number 10
k= 36
number 11
k=33