Answer:
d. 2x-6 is the answer
a=b, b=x, c=2
=5x-5×2
=2x-6
How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Answer:
Option D.
Step-by-step explanation:
The given parent function is
[tex]f(x)=\dfrac{1}{x}[/tex]
The given function is
[tex]g(x)=\dfrac{1}{x+4}-6[/tex]
Using the parent function, the given function can be written as
[tex]g(x)=f(x+4)-6[/tex] ...(1)
The translation is defined as
[tex]g(x)=f(x+a)+b[/tex] .... (2)
Where, a is horizontal shift and b is vertical shift.
If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.
If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.
On comparing (1) and (2), we get
[tex]a=4>0[/tex], it means the graph shifts 4 units left.
[tex]b=-6<0[/tex], it means the graph shifts 6 units down.
So, g(x) is shifted 4 units left and 6 units down from f(x).
Therefore, the correct option is D.
Transformation involves changing the form of a function.
The true option is (d) g(x) is shifted 4 units left and 6 units down from f(x).
The functions are given as:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
[tex]f(x)= \frac{1}{x}[/tex]
Start by shifting the function to the left, by 4 units.
This is represented as:
[tex](x,y) \to (x + 4,y)[/tex]
So, we have:
[tex]f'(x)= \frac{1}{x + 4}[/tex]
Next, shift the function down, by 6 units.
This is represented as:
[tex](x,y) \to (x,y - 6)[/tex]
So, we have:
[tex]g(x)= \frac{1}{x + 4} - 6[/tex]
Hence, the true option is (d)
Read more about transformation at:
https://brainly.com/question/12619643
The mean of four numbers is 85. The four numbers are 86, 83, 81, and .
a) Write an equation to show this information
b) Solve the equation for .
Answer:
90
Step-by-step explanation:
a)
Since, to find the average of a set of numbers, you need to add them all together and divide by the amount of numbers:
[tex]\dfrac{86+83+81+x}{4}=85[/tex]
b)
Multiply both sides by 4:
[tex]86+83+81+x=340\\x=90[/tex]
Hope this helps!
Solve the system using elimination and describe your steps.
3x + y = 9
5x + 4y = 22
-------------------
Answer:
x = 2, y=3
Step-by-step explanation:
3x + y = 9
5x + 4y = 22
Multiply the first equation by -4
-4(3x + y) = 9*-4
-12x -4y = -36
Add this to the second equation to eliminate y
-12x -4y = -36
5x + 4y = 22
---------------------------
-7x = -14
Divide each side by -7
-7x/-7 = -14/-7
x = 2
Now find y
3x+y = 9
3(2) +y = 9
6+y = 9
Subtract 6 from each side
-6+6 +y = 9-6
y = 3
Answer:
x = 2, y = 3
Step-by-step explanation:
3x + y = 9 (1)
5x + 4y = 22 (2)
Multiply equation (1) by -4 and add to equation (2)
-12x - 4y = -36
5x + 4y = 22
-7x = -14
x = 2
Using any equation, solve for y
5(2) + 4y = 22
4y = 12
y = 3
Use the Distributive Property to write an expression equivalent to 4(p-12).
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
I hope this helps!
Answer:
4p - 48
Step-by-step explanation:
(4 × p) + (4 × 12)
1. which is greater value 0.4 3/4 0.15
2. which is least value 2 and 2/3, 2.45, 2 and 2/5
3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death. Write an inequality to represent Brittany’s age, b. Brittany’s brother, Nate, is two years younger than Brittany. Write an equation for Nate’s age, n, in terms of Brittany’s age, b. Rewrite the expression from Part B to get the variable b alone on one side of the equation. (This is also called isolating b.) Substitute the value of b from Part C into the inequality you found in Part A. Solve the inequalities from parts A and D for the variables b and n, respectively. Could Brittany be 27 years old and Nate 26? Why or why not?
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
What is the area of a circle with a radius of 6 inches?
Answer:
113.04 inches
use the formula for the area a circle
[tex]A=\pi a^{2}[/tex]
:
Whats the distance between the points (7,3) and (7,-8)?
Also it deosnt come with a picture..
A. 11
B. 5
C. 10
D. 12
Answer:
A
Step-by-step explanation:
These two coordinates in (x,y) form have the same value for x, so they only differ in the y-value. That means if we subtract the y-values, that’s the vertical distance!
-8 - 3 = -11
(It helps me to think of this as -8 + -3.) They’re 11 units apart: think of it like a absolute value.
So the answer is A. 11
Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p, made from selling n candy bars.
P = 1.50n – 500
How many candy bars must be sold to make a profit of $400?
Answer:
600 candy bars must be sold to make a profit of $400
Step-by-step explanation:
Answer:
i have no clue
Step-by-step explanation:
Jillian read for 120 minutes. Sarah read for 180 minutes. Lexie said that Sarah read for 60 minutes more than Jillian.
Which could be the area of the base of the triangular prism?
[Not drawn to scale]
A) 6 ft2
B) 10 ft2
C) 12 ft2
D) 20 ft2
Answer:
It's 20 because 5ft times 4ft gives you 20ft
1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon?
2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas?
3.Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
plz show the work
Answer: 1. $3.85
2. $1.55
3. 7/12
Step-by-step explanation:
1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.
2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.
3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12. 1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12
Question 5 (1 point)
Answer:
B. [tex]\frac{d + 13}{d + 4}[/tex]
Hope this Helps :)
The unit of metric measurement used
when measuring the width of your
pencil point.
A. Milliliters
B. Milligrams
C. Millimeters
D. Centimeters
The unit of metric measurement used
when measuring the width of your
pencil point is millimeters
help me with this please I don't exactly get it
Answer:
P = 40.56 in (ANS)
Step-by-step explanation:
radius = 8/2 = 4 in
semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in
figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)
Which of the following is a correct step for constructing a median of triangle LMN? Bisect side LN. Construct a line perpendicular to LN through vertex M. Bisect the angle at vertex M. Extend the angle bisector to intersect side LN. Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN. Bisect side LN and side MN. Construct a line segment connecting the two midpoints. plzzz help
Answer:
C: Bisect side LN. Construct a line segment through vertex M and the midpoint of side LN.
Step-by-step explanation:
Just took assignment.
Answer:
C
Step-by-step explanation:
c
What are the odds against selecting a red marble
Answer: it’s the first one.
Step-by-step explanation:
Suppose (12, 8) and (4, 6) are the endpoints of a diameter of a circle. Which is an equation of the circle?
Answer:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
Step-by-step explanation:
The formula for the equation of a circle is:
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where (h,k) is the center and r is the radius of the circle.
To first solve solve this, use the endpoints of the diameter to solve for the center of the circle using the midpoint formula, which is known as:
[tex]\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)\ }{2}[/tex]
The points given are (12,8) and (4,6), so plug in the coordinates into the formula.
Center = (1/2)(12+4),(1/2)(8+6)
= (8,7)
Now, to find the radius, we can use the distance formula and use the center (8,7) and one of the endpoints, (12,8). The distance formula is known as:
[tex]\sqrt{(x_{1} -x_{2})^2 +(y_{1} -y_{2})^2 }[/tex]
Radius = √(x₂- x₁)² + (y₂-y₁)²
= √(12- 8)² + (8-7)²
= √(4² + 1²) = √(16+ 1) = √17
= r² = 17
Now that the radius and the center are known, the equation of the circle can be written as:
[tex](x-8)^2 + (y-7)^2 - 17 = 0[/tex]
Which is a solution for the equation 3x + 13 = 73?
Answer:
x=20
Step-by-step explanation:
73-13=60
60÷3=20
Answer:
x = 20
Step-by-step explanation:
3x + 13 = 73
3x = 73 - 13
3x = 60
x = 60 : 3
x = 20
What is the value of x? Leave answer in simplest radical form.
8
60°
Answer:
Your answer is A . 8
Step-by-step explanation:
hope it helps !
What’s the missing leg length
Answer:
15
Step-by-step explanation:
pythag theorum
Answer:
15
Step-by-step explanation:
Pythagorean thm. says a^2+b^2=c^2 where a and b are the legs of the triangle and c is the hypotenuse.
The hypotenuse, c = 17
Leg b =8
a^2=c^2-b^2
a^2=17*17-8*8
a^2=289-64
a^2=225
Take the square root of both sides.
a = 15
A cube has a volume of 8 cubic feet. What is the length of the cube?
Answer:
The side length is 2 ft
Step-by-step explanation:
A cube has a volume of
V = s^3
8 = s^3
Take the cube root of each side
8 ^ 1/3 = s^3 ^1/3
2 = s
Perform the addition of polynomials (middle school math pls help!)
Answer: 1/4a - 1/6b + 1/10c
Hope this helped! Have a great rest of your day :)
Rewrite y = x2 + x - 20 in factorized form.
Answer:
y = x2 + x - 20 factors into
y = (x +5) * (x -4)
Step-by-step explanation:
Answer:
y = (x + 5)(x - 4)
Step-by-step explanation:
Given
y = x² + x - 20
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 1)
The factors are + 5 and - 4, since
5 × - 4 = - 20 and 5 - 4 = + 1, thus
x² + x - 20 = (x + 5)(x - 4)
A small pouch contains 8 black marbles,5 white marbles, and 12 red marbles. Find the probability of picking a red then a black marble if you do not replace the first marble.
Answer:
4/25
Step-by-step explanation:
Total amount of marbles: 8 + 5 + 12 = 25
With 25 marbles, the probability of picking a red is: 12/25
After 1 red marble is removed, the probability of picking a black is: 8/24 = 1/3
Then, the probability of picking a red then a black marble if you do not replace the first marble is: 12/25 * 1/3 = 4/25
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle
Answer:
The answer is A I JUST DID it
The cross section of the figure is Pentagon.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
A plane intersects a pentagonal pyramid horizontally as shown.
Now, By the given figure,
The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.
Hence, It represent the Pentagon.
Learn more about the mathematical expression visit:
brainly.com/question/1859113
#SPJ2
what is the distance between the points (-4,0) and (-7, -14) ?
Answer:
Step-by-step explanation:
(-4,0) ; (-7, -14)
[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]
Write a quadratic function with a vertex at (-9,13).
Answer:
y = x² + 18x + 94
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 9, 13) and letting a = 1, then
y = (x + 9)² + 13 ← expand (x + 9)² using FOIL
= x² + 18x + 81 + 13
= x² + 18x + 94
PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!
People use water to cook, clean, and drink every day. An estimate of 17.2% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking, how many gallons do they use every day?
Please help, need an answer ASAP!
Answer:
6, -7
Step-by-step explanation:
when I followed those instructions, that's what i got.
:)
