Answer:
[tex]g(x) = (x-a,-y - b)[/tex]
Step-by-step explanation:
Given
Represent f(x) as follows:
[tex]f(x) = (x,y)[/tex]
Transformations:
Horizontally shifted right by a
Reflected across x axis
Vertically shifted down by b
Taking the transformations one after the other.
Horizontally shifted right by a
When a function is shifted right, the resulting function is:
[tex]f' = (x-a,y)[/tex]
Reflected across x axis
Here, the x axis remains unaltered while the y axis is negated
[tex]f' = (x-a,y)[/tex]
becomes
[tex]f" = (x-a,-y)[/tex]
Vertically shifted down by b
When a function is shifted down by b, the resulting function is:
[tex]f"' = f" - b[/tex]
i.e, subtract b from the function (f(x) or y, as the case may be)
So, we have:
[tex]f"' = (x-a,-y - b)[/tex]
Represent f"' with g(x)
[tex]g(x) = (x-a,-y - b)[/tex]
solve for x, 3x + 5 > 88
Answer:
x > 83 / 3
Step-by-step explanation:
Let's solve your inequality step-by-step.
3x+5>88
Step 1: Subtract 5 from both sides.
3x+5−5>88−5
3x>83
Step 2: Divide both sides by 3.
3x/3 > 83/3
x > 83/3
How many solutions does this system of equations have?
Answer:
1 solution
Step-by-step explanation:
A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.
what is the square root of 30.3 rounded to the nearest hundreth
What’s 17/5 as a decimal?
EMERGENCY! Please give me the correct answer!
Answer: 10^4 · 4^5
Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.
(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5
Hannah is making cookies. Each batch of cookies uses 3/4 lbs of butter. She is going to make 5 batches. How much butter will she need?
Answer:3/4*5=3 3/5
Step-by-step explanation:
Please help I am so confused!
Answer:
D
Step-by-step explanation:
If you match what the numbers say you will see the answer is D
PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!
Answer:
Step-by-step explanation:
I & III look good
CAN SOMEONE HELP ME PLS !!! RIGHT ANSWERS ONLY PLS <333
Answer:
90*
Step-by-step explanation:
because a 90 degree rotation is to the right on its side
Answer:
90 degees is right
Step-by-step explanation:
I checked
Given f(x)=3x2+7 and g(x)=5x-4 solve f(5) btw in the problem the 2 is on top of the X
Answer:
f(5) = 82
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x) , that is
f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82
Hi I need help :( Pls show your working..Will give brainliest for helpful answer
Answer:
number 10
dy/dx =(dy/dt).(dt/dx)
now find
dy/dt=4t-1. , dt/dx=1
so : dy/dx=(4t-1).(1)
dy/dx= 4t-1 ,we have x=t-3-----> t=x+3
subtitute at t
dy/dx= 4(x+3)-1=4x+12-1= 4x+11
-1/2x+2=-x+7 i need to know
[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]
[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]
[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]
[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]
[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]
[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]
[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]
[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]
[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7
[/tex]
help i need to pass:/
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms.
Answer:
A) 0.58
B) 58/100
Step-by-step explanation:
Can i have brainliest if its right :)
Consider the system of equations in standard form. x + 4y = 26, 3x – 4y = 30 What is the best window range for the x-values to determine the solution? What is the best window range for the y-values to determine the solution? What is the exact solution to the system of equations?
Answer: x + 4y = 26 Slope = -0.500/2.000 = -0.250
x-intercept = 26/1 = 26.00000
y-intercept = 26/4 = 13/2 = 6.50000
Step-by-step explanation: x + 4y = 26
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.500/2.000 = -0.250
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line x+4y-26 = 0 and calculate its properties
Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000
y-intercept = 26/4 = 13/2 = 6.50000
When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000
x-intercept = 26/1 = 26.00000
3x – 4y = 30 Slope = 1.500/2.000 = 0.750
x-intercept = 30/3 = 10
y-intercept = 30/-4 = 15/-2 = -7.50000
Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000
y-intercept = 30/-4 = 15/-2 = -7.50000
y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000
x-intercept = 30/3 = 10
Answer:
What is the best window range for the x-values to determine the solution?
x-min=-10, x-max = 15
What is the best window range for the y-values to determine the solution?
y-min= 0, y-max = 5
What is the exact solution to the system of equations?
(14, 3)
Find the area of this quadrilateral.
Five times the greater of two consecutive even
integers is 14 greater than three times the lesser
number. What is the greater number?
Which value of x makes the equation ,3 plus 0.75 ( x minus 2) equals 0.5 ( x + 20 ), true
Someone help fast for the bois??
Answer:
34
Step-by-step explanation:
3+0.75(x-2)=0.5(x+20)
3+0.75 x-1.5=0.5 x+10
1.5+0.75x=0.5 x+10
0.75x+0.5x=10-1.5
0.25x= 8.5
0.25/25, 8.5/0.25
x=34
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true
Answer:
The question is not complete, fortunately, I found a match:
Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.
one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.
one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.
answer:
one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Step-by-step explanation:
To calculate the scaling factor, we will divide the actual figure by the figure in the scale.
Before the change: 8cm in the drawing represents 40m
8cm ≡ 40m
∴ 1cm ≡ 40 ÷ 8 = 5m
∴ 1 cm represents 5m
After the change: 8cm in the drawing represents 32m
8cm ≡ 32m
∴ 1cm ≡ 32 ÷ 8 = 4
∴ 1cm represents 4m
Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.
Answer:
It’s the first choice
Step-by-step explanation:
Convert 0.0833333333333333..... to a fraction
Answer:
8333333333/100000000000 i think
Answer:
83/100
Step-by-step explanation:
How can you graphically tell if a quadratic equation will have a complex solution?
Answer:
If it does not cross the x axis.
Step-by-step explanation:
If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution
The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
if you search the Question up the fist thing to pop up should say Gr7_Math_Revision_T2. on the 7th page your answer, I think. is there
Step-by-step explanation:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
15-2
6. What is the value of the expression "eight more than three times the difference of four and a number' when
n = 3? (LEVEL 4)
Answer:
11
Step-by-step explanation:
3(4-n)+8
n=3 so
3(4-3)+8
3(1)+8
3+8
11
A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months
Answer:
17.7 meters
Step-by-step explanation:
x = 30
15 + 0.09*30
0.09*30 = 2.7
2.7 + 15 = 17.7 meters
Please help!!
Simplify the expression:
1) (m^2m^3)^4
2) (x^4x)^2
Hello! I hope i’m correct!! :)
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
[tex](m^{2+3})^{4}[/tex]
[tex](m^{5})^{4}[/tex]
[tex]=[/tex][tex]m^{20}[/tex]
First expression: m^20
______________________________
[tex](x^{5} )^{2}[/tex]
[tex]=x^{10}[/tex]
Second expression: x^10
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️
(Sorry if this is incorrect!)
~By, BrainlyAnime~ <3
Answer:
1) 20^m
2) x^10
Step-by-step explanation:
1. Reformatting the input:
Changes made to your input should not affect the solution:
( 1 ) : "m3" was replaced by "m^3".
m^5 raised to the 4th power = m^( 5 * 4 ) = m^20
_________________________________________________
2.
x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10
The table below shows the number of miles four cars can travel on a given amount of gasoline.
Car Mileage
Number of miles traveled
Number of gallons used
Car 1
528
22
Car 2
486
18
Car 3
475
19
Car 4
546
21
Which list shows the cars in order from least miles per gallon to greatest miles per gallon?
HURRY I NEED IT
FIRST RESPONCE GETS BRAINLIEST
Answer:
the person above me was correct
Step-by-step explanation:
btw it was c
Answer: C
Step-by-step explanation: I took the quiz yesterday
1. Five times a number minus 4 is 6.
how do I write 3.1 x 10-⁶ +1.9 x 10-³ in scientific notation form?
Answer: 1.9031 x 10^-3
can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z
Answer:
x = -7 2/3, y = 1 1/3 and z = 5 1/3.
Step-by-step explanation:
2x+4y+3z=6 ..... 1
x-2y+z=-5 ...... 2
-x-3y-2z=-7 .......3
Add equations 2 and 3 to eliminate x:
-5y - z = -12 .....4
Multiply equation 2 by - 2:
-2x + 4y - 2z = 10
Add this to equation 1:
8y + z = 16 ........ 5
Now add equation 4 to equation 5:
3y = 4
y = 4/3 = 1 1/3.
Now find z by substituting for y in equation 4:
-5(4/3) - z = -12
z = 12 - 20/3
z = 36/3 - 20/3 = 16/3 = 5 1/3.
Finally, we find x by substituting for y and z in equation 1:
2x + 4*4/3 + 3*16/3 = 6
2x = 6 - 16/3 - 16
2x = 18/3 - 16/3 - 48/3 = -46/3
x = 23/3 = 7 2/3.
Can someone please help me ?
Answer:
The answer is C because 40% of 1450 is 580.