how do I graph f(x) = 1/4(x-1)2 - 3
Answers
Find the intercepts, if there are any. ...
Find the vertical asymptotes by setting the denominator equal to zero and solving.
Find the horizontal asymptote, if it exists, using the fact above.
The vertical asymptotes will divide the number line into regions. ...
Related Questions
4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!
Answers
Answer: 12
Step-by-step explanation:
Please help me with this question asap
Answers
Answer:
156 for the first, 14 for the second
Step-by-step explanation:
x = -5 y=4
Plug in (first equation)
(4(4))^2 - (2(-5))^2
(16)^2 - (-10)^2
256-100
156
Second Equation
4y^2-2x^2
Plug in
4(4)^2 - 2(-5)^2
4(16) - 2(25)
64-50
14
Parenthesis make a huge difference
Hope this helps =D
The sum of the digits of a two digit number is eight the digits are reversed the number increases by 18 find the original number
Answers
Answer:
The two digit number is 35.
Step-by-step explanation:
Let xy be the two digit number
According to given statement
[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]
The place value of xy is 10x+y
Reversing the number will be: 10y+x
It is also mentioned that the new number is previous number increase by 18
So,
[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]
From equation 2
[tex]y = 2+x[/tex]
Putting in equation 1
[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]
Putting x = 3 in equation 1
[tex]3+y = 8\\y = 8-3 = 5[/tex]
xy = 35
Hence,
The two digit number is 35.
What is the roots of f(x)=-x^2-6x-14
Answers
Answer:
[tex]x=-3\pm i \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary roots: √-1 = iStep-by-step explanation:
Step 1: Define function
f(x) = -x² - 6x - 14
Step 2: Set up
Set equation equal to 0: -x² - 6x - 14 = 0Factor out -1: -(x² + 6x + 14) = 0Divide both sides by -1: x² + 6x + 14 = 0Step 3: Define variables
a = 1
b = 6
c = 14
Step 4: Find roots
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}[/tex]Exponents: [tex]x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-56} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{-20} }{2}[/tex]Factor: [tex]x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2i \sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm i \sqrt{5} )}{2}[/tex]Divide: [tex]x=-3\pm i \sqrt{5}[/tex]A set of 4 consecutive odd integers has a sum of 216. What are the integers?
Answers
Answer:
Hope this helps!!
Step-by-step explanation:
So the four consecutive odd integers are: 51 , 53 , 55 and 57 .
If the first integer is n, then the other three are n+2,n+4 and n+6
and we have:
216=n+(n+2)+(n+4)+(n+6)=4n+12
Subtract 12 from both ends and transpose to get:
4n=204
Divide both sides by 4
to get:
n=51
So the four consecutive odd integers are:
51,53, 55 and 57.
GJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answers
Answer:
D: It has exactly 3 congruent sides
Step-by-step explanation:
finished quiz on edg2020
Answer:
the answer is D just took the test
Step-by-step explanation:
just took the test
Question in picture solve
Answers
Find the slope of the following given points (-3, 1) and (5, 17)
Answers
Answer:
slope is 2
Step-by-step explanation:
find the change in y and x to then divide them
17-1/5- -3 = 16/8 = 2
help me pls UoU Uwu
\djjn
Answers
Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
[tex]\frac{18-14}{1-0}[/tex]
Simplify:
18 - 14 = 4
1 - 0 = 1
[tex]\frac{4}{1}=4[/tex]
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
HELP I WILL GIVEBRAINLIST! FALSE ANSWERS OR SPAM WILL BE REPORTED!!!!1
What do the differences between the points (as shown on the graph) represent? On a coordinate plane, point B is at (2, 7) and point D is at (4, 14). StartFraction 7 over 2 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 2 over 7 EndFraction is the unit rate because it compares the change in y-values to the change in x-values of the points on the graph. StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1. StartFraction 2 over 7 EndFraction can be used to find the unit rate if one divides 2 by 7 and compares the result to 1.
Answers
Answer:
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the points
B(2, 7) and D(4, 14)
substitute the values
The unit rate is
therefore
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
Answer:
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
we have the points
B(2, 7) and D(4, 14)
substitute the values
The unit rate is
therefore
StartFraction 7 over 2 EndFraction can be used to find the unit rate if one divides 7 by 2 and compares the result to 1
Consider the line y=-2/5x+7
Find the equation of the line that is parallel to this line and passes through the point (-4, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 4).
Equation of parallel line:
Equation of perpendicular line:
Answers
Answer:
Paraellel: y=-2/5x+12/5
Perpendicular: y=5/2x+14
Step-by-step explanation:
hope this helps <3
If 84 J of work are exerted to pull a wagon, how much force does it take to pull the wagon 7.0 m? Round your answer to the nearest whole number.
It takes N of force to pull the wagon.
Answers
Answer:
12N
Step-by-step explanation:
force=workdone/distance
=84/7
=12N
hope it helps
Answer:
12n
Step-by-step explanation:
In Exercises 7–10, graph the function, and label its vertex and y-intercept.
7. F(x) = 3x^2 – 12x + 6
8. y = 5x2 + 20x - 9
9. y = –6x2 – 12x - 5
10. f(x) = -7x2 + 28x - 8
Answers
Answer:
#7: Vertex is (2,-6)
y-intercept is (0,6)
#8: Vertex is (-2,-29)
y-intercept is (0,-9)
#9: Vertex is (-1,1)
y-intercept is (0,-5)
#10: Vertex is (2,20)
y-intercept is (0,-8)
Step-by-step explanation:
Graphs are in the picture below
. A book collector has 425 books,
56% of which were published
prior to 1900. How many books
were published prior to 1900?
Answers
Answer:
238
Step-by-step explanation:
all you do is part and whole divide
1) Every day, the Clark Pet Store uses 2/3 of a bag of dog food to feed the dogs. How
many days will 4 2/3 bags of dog food last?
BRIANLYEST TO WHOEVER ANSWERS FIRST
Answers
Answer:
7 days
Step-by-step explanation:
I'm on crack but I never did it bruh
4 2/3=14/3
14/2=7
7 days
The food will last 7days
StartFraction negative 8 (17 minus 12) over Negative 2 (8 minus (negative 2)) EndFraction
Answers
-2(8-(-2)) = -2(10) = -20
-40/-20 = 2
Answer : 2
Answer:
2
Step-by-step explanation:
i took the test
Evaluate f(x) =-3x + 7 for x = 2
Answers
f(x)=-6-7
f(x)=-13
Answer:
F(x)=1
Step-by-step explanation:
Just add in 2 were x is. f(x)=-3(2)+7 then multiply -3(2) which is -6 then add 7
Solve for x.
I need help
Answers
Answer:
x = 35
Step-by-step explanation:
The segment from the vertex of the triangle is an angle bisector and divides the opposite side into 2 segments that are proportional to the other 2 sides, that is
[tex]\frac{20}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 280 ( divide both sides by 8 )
x = 35
In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV
Answers
Answer:
B
Step-by-step explanation:
just ended the test
Answer: (-3, 5) : Quadrant 2
Leo bought 4 T-shirts and 2 pairs of pants for Php 3 000.00. If the T-
shirts cost Php 300.00 each, find the cost of each pair of pants.
1) What is asked?
2) What are the given?
3) What operation will be used?
4) What is the hidden question?
5. What is the number sentence?
6. Write the solution:
Answers
Answer:
hey
Step-by-step explanation:
What is the volume of material he must purchase?
2 ft3
4 ft3
6 ft3
8 ft3
Answers
Answer:
In this problem, we use the formula for volume which is:
volume=(length*width*height)/3
Since the base of the triangle is a square, we simply know that the length and width is equal.
L = W = 2 ft
H = 6 ft
Solution:
V = (2*2*6)/3V = 8 ft^3
The correct answer is 8 ft^3
Hope this helps.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust me bro.
What is one important thing you have to do before solving a word problem?
Answers
Answer:
read the answer through and collect all the information you can
Help! What is the solution to the system shown below?
Answers
Answer:
3,-2
Step-by-step explanation:
the solution set is the point where the two lines intercept. in this case it's 3,-2
who mISSES SCHOOL? because i dont rlly...
Answers
Not at all, I was doing online school before quarantine started, so this is all normal for me lol
Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?
Answers
Answer:
a = 9, b = 3
Step-by-step explanation:
The exponential function is
y = a [tex]b^{x}[/tex]
Find a and b by using the points it passes through
Using (0, 9 ) then
9 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 )
a = 9
y = 9 [tex]b^{x}[/tex]
Using (3, 243 ) then
243 = 9b³ ( divide both sides by 9 )
27 = b³ ( take the cube root of both sides )
b = [tex]\sqrt[3]{27}[/tex] = 3
y = 9[tex](3)^{x}[/tex] ← exponential equation
what is the possibility that a randomly selected person is on the swim team
Express the probability as a percent rounded to the nearest tenth of a percent
Answers
Answer:
What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
41.7910448% round to the nearest tenth
41.8% is the answer.
Step-by-step explanation:
farmers are better than doctors
Answers
Answer:
they are both the same
Step-by-step explanation:
farmers give us food and doctors make us healthier
simple math
Maria wants to measure the length of her thumb using a nonstandard unit. Which object would be the best for Maria to use?
A stapler
B chalkboard eraser
C book
D paper clip
Answers
give me brainliest :D
Graph the line.
y=3x-7
Answers
Step-by-step explanation:
so the -7 means that the line will cross the y-axis at the point (0,-7). from there, we knows the slope is 3. slope is rise over run, so 3 over 1. we go up 3 and over 1
write an equation of the perpendicular bisector of the line segment with coordinates A (4,6) and B ( 8,10)
Answers
Answer:
[tex]\sqrt{x}[/tex]Step-by-step explanation:
blah blah blah blah blah i'm fifth grade not highschool bye still give me my point