Answer:
The graph of f is shifted 1 unit down to create the graph of g.
Step-by-step explanation:
i took the test earlier and got this answer
The linear parent function f(x) = x is reflected over the x-axis to create the grap of g(x) = - f(x).
What is translation?There are four different kinds of translation: stretching, shrinking, rotating, and shifting.
When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.
We know that when we change the sign of x in a function it is rotated about
the y-axis and when we change the sign of y in a function it is rotated about the x-axis.
f(x) = y = x and g(x) = - f(x) = - y.
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What’s question number 2? I have been stuck on this.
Answer:
i feel like it's B. 3
Step-by-step explanation:
because if you like simplify the problem 3(m+n)-4=5 and then subtract 4 and add 4 to 5 the 5 becomes a 9. then if you divide 9 by 3 the answer would be 3
Plz help me with this ASAP!
Angel H and G are both are 51 degrees, and angle I is 78 degrees.
The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.
[tex]5x + 6 = 2x + 33[/tex]
[tex]3x = 27[/tex]
[tex]x = 9[/tex]
Plug in x for one equation:
[tex]5x + 6[/tex]
[tex]5(9) + 6[/tex]
[tex] = 51[/tex]
Therefore,
[tex]m < h = 51 \:[/tex]
and
[tex]m < g = 51[/tex]
And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:
[tex]180 - (51 + 51) = [/tex]
[tex]180 - 102 = [/tex]
[tex] = 78[/tex]
Steps for solving 4x - 12 = 20 are shown.
Explain how Step 3 helps solve the equation.
4x - 12 = 20
4x-12 +12 - 20 +12
4x = 32
4x32
4 4
X = 8
Original equation
Step 1
Step 2
Step 3
Step 4
A. Multiplying both sides by 4 undoes the division.
B. Dividing both sides by 4 eliminates the variable.
C. Multiplying both sides by 4 isolates the variable.
D. Dividing both sides by 4 isolates the variable.
SUBMIT
For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
The step 3 according to the question is,
4x = 32
Dividing both sides by 4,
x = 32/4
x = 8
Therefore, the final result will be x = 8.
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find the nth terms of the sequence with the following first four terms as shown in the table.
________________________
n 1 2 3 4
________________________
an 5 9 13 17
_______________________
Answer:
see explanation
Step-by-step explanation:
Both sequences have a common difference between consecutive terms, that is
2 - 1 = 3 - 2 = 4 - 3 = 1
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 1 , thus
[tex]a_{n}[/tex] = 1 + n - 1 = n
--------------------------------------------------------------------
Similarly
d = 9 - 5 = 13 - 9 = 17 - 13 = 4 and a₁ = 5 , then
[tex]a_{n}[/tex] = 5 + 4(n - 1) = 5 + 4n - 4 = 4n + 1
It took Kyle and yuan 11 minutes to canoe across lake Wyandot from one dock to the other. What was their average speed in kilometers per hour?
Answer:
30 min
Step-by-step explanation:
So, how long does it take to kayak a mile? It takes about 30 minutes to kayak 1 mile on flat calm water. Obviously this number will depend on several factors: how much paddling experience you have, wind and wave conditions, and what type of kayak you’re paddling.
Solve for the letter A
Answer:
a=bcd
Step-by-step explanation:
Answer:
a=bcd
Step-by-step explanation:
Let's solve for a.
a
dc
=b
Step 1: Multiply both sides by cd.
a=bcd
Answer:
a=bcd
The value of -4^2 is _____.
8
-16
16
-8
And please tell me why
Answer:
16
Step-by-step explanation:
A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.
is the slope of the line with equation y-3=-1/2(x-2)
Answer:
-1/2 is the slope.
Step-by-step explanation:
y-3 = -1/2(x-2)
y-3 = -1/2x +1
y= -1/2x + 4
m= -1/2
Maya’s grandfather open a savings account for a while she was born. He open the account with $100 and not add or take out money after that. The money in the account grows at a rate of 4% per year. Make a table to show the amount in the account from the time Maya was born until she turn 10.
Answer:
1140
Step-by-step explanation:
because 4% equals 4 pounds × 10 equals 40% which equals 40 pounds and 100 times 10 equals 1000 plus the extra 100 pounds from the beginning
What is the first step needed to solve (3/4) times -3=-18
x=-3
f (x) = -2x +4
f(x) = ?
Answer:
10
Step-by-step explanation:
-2X+4
-2(-3)+4
6+4
10
The answer to the problem 5 x (4 + 1) is called a _____. 2 points
Answer:
25
Step-by-step explanation:
5x(4+1)=
4+1=5
5x5=25
the area of the rhombus with diagonal 6.2cm and 10cm is _ square cm
Answer:
31cm².
Step-by-step explanation:
as we know that ,
area of Rhombus equal 1/2 of product of their diagonals .
product of the diagonals equal 6.2*10=62
1/2*62=31cm².
I need help ASAP cause I'm stuck
Answer:-16r^7
Step-by-step explanation:
Which equation represents a line that is parallel to the line with equation y = 2x + 1?
Select all that apply.
A. y= 2x - 8
B. y=-2x + 1
C. 2x + y=7
D. -2x + y = 2
E. -2x - y=9
Answer:
A and D
Step-by-step explanation:
Parallel lines have same slope.
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
Options A and D
Given :
The equation of a parallel line [tex]y=2x+1[/tex]
The given equation is in the form of y=mx+b
where m is the slope
Slope of parallel lines are same .
Slope of given line is 2.
Lets check whether the slope of all lines given in the options are equal to 2
[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]
Equations A and D have same slope 2
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
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what is the answer to 10 + 6x = 2(3x – 5)
Answer:
Step-by-step explanation:
10 + 6x = 6x - 10
10 - 10 = 6x -6x
0 = 0
equation is wrong
Find the midpoint of the segment with the following endpoints.
(6,3) and (0,9)
help please
The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is each person
Answer:
45 and 72Step-by-step explanation:
Let the ages be r and m
We have:
r + m = 1175r = 9 + 3mSubstitute m in the second equation and solve for r:
m = 117 - r5r = 9 + 3( 117 - r)5r = 9 + 351 - 3r5r + 3r = 3608r = 360r = 360/8r = 45Then m is
m = 117 - 45 = 72Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
- 1/2x+1=7x−14
(the 1/2 is got a - in the middle before it)
Answer:
x=2
Step-by-step explanation:
- 1/2x+1=7x−14
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches find the demensions of the rectangle
Answer:
W-18inches L-21inches
Step-by-step explanation:
42-6 = 36/2 = 18
Width is 18 inches
and
Length is 21 inches
Will MARK BRAINLIEST!!!!! What is the domain of the given function?
{x | x = –6, –1, 0, 3}
{y | y = –7, –2, 1, 9}
{x | x = –7, –6, –2, –1, 0, 1, 3, 9}
{y | y = –7, –6, –2, –1, 0, 1, 3, 9}
From the sum of 3x-4y+5z,2x-7y and 9z-5y subtract -2xy-2y-2z
Answer:
5x - 14y + 16z + 2xy
Step-by-step explanation:
Given expressions:
3x - 4y + 5z
2x - 7y
9z - 5y
-2xy - 2y -2z
Solution:
Sum of 3x - 4y + 5z
2x - 7y
9z - 5y
= 3x - 4y + 5z + 2x - 7y + 9z - 5y
= 3x + 2x - 4y - 7y -5y + 5z + 9z
= 5x - 16y + 14z
Subtract -2xy - 2y -2z
= 5x - 16y + 14z - ( -2xy - 2y -2z )
= 5x - 16y + 14z + 2xy + 2y + 2z
= 5x - 16y + 2y + 14z + 2z + 2xy
= 5x - 14y + 16z + 2xy
Consider the highlighted products the common factor is
Answer:
3
Step-by-step explanation:
use the binomial theorem to expand (4-2z)^3
Answer:
(
t
+
w
)
4
=
t
4
+
4
t
3
w
1
+
6
t
2
w
2
+
4
t
1
w
3
+
w
4
Explanation:
First, you should get to know Pascal's triangle. Here's a small portion of it up to 6 lines. Basically you're just adding the numbers that are beside each other, then writing the sum below them. (For example,
1
+
2
in the third line equals to
3
in the fourth line.) If you want a better explanation for that, feel free to do some more research on it.
Expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
What is binomial theorem?
" Binomial theorem is a way of expanding a binomial expression with exponent n, where n is any positive integer."
Formula used
Binomial Expansion
(a - b) ⁿ = ⁿC₀ aⁿb⁰+ ⁿC₁ aⁿ⁻¹ (-b)¹ + ⁿC₂ aⁿ⁻² + ....... + (-1)ⁿ ⁿCₙ a° bⁿ
According to the question,
Given,
(4 -2z)³
a = 4
b = 2z
Substitute the value in the formula of binomial expansion we have,
= ³C₀ (4)³ (-2z)⁰ +³C₁ (4)² (-2z)¹ +³C₂ (4)¹ (-2z)² + ³C₃ (4)⁰ (-2z)³
= (4)³ - 3 (4)² (2z) + 3 (4) (2z)² -(2z)³
= 64 -96z +48z² -8z³
Hence, expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
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please help for 15 points
What is the distance between points (-2,1) and (2,4)?
What is the distance between points (1,2) and (3,4)
Answer:
✓{2-(-2)2+(4-1)2
✓16+9
✓25
5
Step-by-step explanation:
using this formula you may find
✓(x2-x1)2+(y2-y1)2
Answer:
(-2,1) and (2,4) = 5
(1,2) and (3,4) = 2.82
Step-by-step explanation:
Select the equivalent expression (7/2)^8
A. 7/2^8
B.28
C.7^8/2^8
D.(7-2)^2
Answer:
The answer is A
Step-by-step explanation:
[tex] { (\frac{7}{2} )}^{8} = {7}^{8} \div {2}^{8} [/tex]
please answer. really need help because i dont understand
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room and of the area for the 1/6 kitchen. What area, in square feet, is left over for other parts of the house?
A 1400 ft2
B 1000 ft2
C 140 ft2
D 100 ft2
Answer:
6o×40=2400
area 1/4=2400÷4=600
area 1/6=600÷6=100
(d)=100 ft2
1289 x 13 =?
a) 17986
b)15678
c) 16757
d)1389
This is for younger kids!