Answer:
9y+6
Step-by-step explanation:
Write an equation for the translation of [tex]y=\frac{-7}{x}[/tex] that has the asymptotes x = -4 and y = -8.
Show your all your steps, then graph it. (Be sure to link your graph to your steps.)
a.) [tex]y=\frac{-7}{x-8}-4[/tex]
b.) [tex]y=\frac{-7}{x+4}-8[/tex]
c.) [tex]y=\frac{-7}{x+8}-4[/tex]
d.) [tex]y=\frac{-7}{x-4}-8[/tex]
______________________________
1.) Substitute x, y, and general form using the formulas:Formula for x: [tex]x=d=-4[/tex]Formula for y: [tex]y=k=-8[/tex]Formula for general form y: [tex]y=\frac{a}{x-d}+k=y\frac{-7}{x-(-4)}+(-8)[/tex]Note:
- When doing problems like this, it's best to list out each formula and do the drag down method, and replace methods rather than doing it the entire mathematical way, as doing it that way takes a long time and it's more confusing than it should be.
Equation at the end of Step 1:
[tex]y=\frac{-7}{x-(-4)}+(-8)[/tex]2.) Simplify the d and k forms:[tex]y=\frac{-7}{x-(-4)}+(-8)=y=\frac{-7}{x+4}-8[/tex]Note:
- The x(d) changes from [tex]x-(-4)[/tex] to [tex]x+4[/tex] because of the 2 negatives rule: When there is 2 negatives next to each other, it automatically changes to being the positive version of of that number or the sum of the 2 numbers.
- The y(k) changes from [tex]+(-8)[/tex] to [tex]-8[/tex] because when a [tex](+)[/tex] and [tex](-)[/tex] are next to each other, the rule is [tex]+<-[/tex]. The Minus always wins in this type of problem situation.
So the answer is b, [tex]\bold{y=\frac{-7}{x+4}-8}[/tex].
______________________________
Redfield, New York is one of the snowiest places in the United States, with an annual average snowfall of 22 feet. So far this year Redfield has received 105.6 inches of snow. What percentage of its average annual snowfall has fallen in Redfield so far?
Answer: 40 Percent
Step-by-step explanation:
105.6 Inches / 12 inches per feet = 8.8 Feet
8.8/22 annual = .4
.4 x 100 = 40 Percent
The percentage of its average annual snowfall has fallen in Redfield so far is 40 percent.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, Redfield receives an annual average snowfall of 22 feet.
We know that, 1 foot = 12 inches
Now, 22 feet = 22×12
= 264
This year Redfield has received 105.6 inches of snow.
Here, percentage = 105.6/264 ×100
= 0.4×100
= 40%
Therefore, so far Redfield has received 40% of snowfall.
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Simplify
(10^-2/10^3)^-1
a-100,000
B 1/-10
C1/10
D 100,000
Answer:
D
Step-by-step explanation:
Answer: its d
Step-by-step explanation:
Need help finding area!
WHAT IS 7/8 OF 3456739352=
PLEASE HELP ME!!!!!
Nicky wants to surround a painting 5 inches by 11 inches with a frame that is w inches wide. Write a quadratic function A in standard form to represent the combined area A of the picture and the frame.
A(w) = w2 + w +
Answer:
Since the frame is uniform around the picture, you need to add its width, W, to the sides of the picture. We will manipulate the formula for area, A = L x W. To ease confusion with the chosen variable, I will replace the W with an H for height to be A = L x H.
L = W + 11 + W
H = W + 5 + W
You can see this by drawing a picture with a frame around it. Looking from the top to the bottom, you will have it's width plus the picture plus the width of the frame again. Same thing for the height of the picture. Looking from the far left of the frame and across, you have the width of the frame plus the picture plus the width of the frame again. Now plug these into the area formula and combine like terms.
A = L x H
A = (W + 11 + W) x (W + 5 +W)
A = (2W + 11) x (2W + 5)
Now take the product of the two parenthesis.
I learned to use the FOIL method: multiply First, Outside, Inside, Last.
A = (2W x 2W) + (2W x 5) + (11 x 2W) + (11 x 5)
A = 4W2 + 10W + 22W + 55
A = 4W2 + 32W + 55
Step-by-step explanation:
The quadratic function A in standard form to represent the combined area A of the picture and the frame is 4w²+32w+55.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have,
Nicky wants to surround a painting 5 inches by 11 inches with a frame that is w inches wide.
Then, the width of the painting
w = 5 + w + w
=2w+5 (w inches wider on both sides)
and, the length of the painting
l = 11 + w + w = 2w+11
So, the area is
Area = length x width
= (2w+11)(2w+5)
=4w²+22w+10w+55
= 4w²+32w+55
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This Question: 1 pt
7 of 7 (5 complete)
A scale drawing of a building needs to be made using the scale 1 in = 230 ft. How tall will the building in the scale drawing be if the building is 1840 ft tall?
The height of the building in the scale drawing will be in
Answer:
8in
Step-by-step explanation:
1240÷230 = 8
you get this answer because you need to take the new scale and divide to fine the ratio
After arranging the terms in descending powers of a variable, select the opposite of the polynomial.
9 - 12n2 + 4n3 - 7n
4 n3 + 12 n2 + 7 n + 9
-4 n3 - 12 n2 + 7 n - 9
4 n3 - 12 n2 - 7 n + 9
-4 n3 + 12 n2 + 7 n - 9
Answer: -4n3+12n2+7n-9
Step-by-step explanation: it basically the opposite sign (positive or negative) switched, and the order backwards. hope that helped
Answer:-4n3+12n2+7n-9
Step-by-step explanation:
5 of 5
Paul, Fiona and Pip share some sweets in the ratio 4:5:1. Paul gets 15 more sweets than Pip.
How many sweets does Fiona get?
Answer:
Fiona gets 25 sweets
Step-by-step explanation:
System of Equations
Paul, Fiona, and Pip have some sweets in the ratio 4:5:1. Let's call x,y, and z the number of sweets they have respectively.
The ratios can be written as three separate equations:
[tex]\frac{x}{y}=\frac{4}{5}\qquad\qquad[1][/tex]
[tex]\frac{y}{z}=\frac{5}{1}\qquad\qquad[2][/tex]
[tex]\frac{x}{z}=\frac{4}{1}\qquad\qquad[3][/tex]
Paul has 15 more sweets than Pip, then:
x = z + 15 [4]
Multiplying [3] by z:
x = 4z
Substituing in [4]
4z = z + 15
Subtracting z:
3z = 15
z = 15/3 = 5
Multiplying [2] by z:
y = 5z = 5*5 = 25
Fiona gets 25 sweets
Find the unknown side length x. Write your answer in simplest radical form.
A.35
B.40
C.45
D.48
Please select the best answer from the choices provided
A
B
C
D
The number of seed in the orginal watermelon is 600 the second watermelon has 7% more how many seed are in the second watermelon
Answer:
642 seeds are in the second watermelon.
Step-by-step explanation:
7% of 600 is 42.
So 600 + 42 is 642.
Please help I’m a little confused
Answer:
1440°
Step-by-step explanation:
n = number of sides
n-2 x 180
10 - 2 = 8
8 x 180 = 1440°
A car approaches a stop sign going 10 m/s before coming to a stop. If it takes 5 seconds to
do this, what is its acceleration
Answer:
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
Step-by-step explanation:
Given
Initial velocity u = 10 m/sFinal velocity v = 0Time taken t = 5 secondsTo determine
Acceleration a = ?
Using the formula to determine the acceleration
a = (v - u) / t
substituting u = 10 m/s, v = 0 and t = 5
a = (0 - 10) / 5
a = -10 / 5
a = -2 m/s²
Thus,
The acceleration is: a = -2 m/s²
The negative sign indicates that velocity is decreasing with time.
I need the answer to this simple Algebra 1 question. Thank you, I will give 10 brainly!!
21.64 - (3)+(-8.89)-(-2 1/2)
Joseph Bettino purchased an 11.5-ounce box of cereal for $3.99. What is the unit price of the cereal?
Answer:
$0.35 per ounce. (rounded.)
Step-by-step explanation:
you just divide.
The cost of one pound of cereal Joseph Bettino purchased is $2.88.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Joseph Bettino purchased an 11.5-ounce box of cereal for $3.99.
Now, To obtain the cost of per pound of cereal we have to divide the total pounds of cereal by the total amount of money which is,
= $(11.5/3.99)
= $2.88.
So, The cost of one pound of cereal is $2.88 it can also be referred as the unit price of the cereal.
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Need some figuring out which sentence has one solution,no solution, and infinite solution.
equal coefficients, but unequal constants
unequal coefficients and equal constants
equal coefficients and equal constants
unequal coefficients and unequal constants
Answer:
the second one
Step-by-step explanation:
3/5 - 1/3 give your answer as a fraction in its simplest form
Answer:4/15
Step-by-step explanation:
1. multiply and divide (left to right)3/5
=3/5-1/3
2.multiply and divide (left to right) 1/3
=3/5-1/3
3.add and subtract (left to right) 3/5-1.3:4/15
=4/15
solve the system of equations using elimination
2X-y=1
-2X+3y=5
Answer:
(x,y) = (2,3)
Step-by-step explanation:
Solving steps:
2y = 6 (Divide both sides)
y = 3 (Substitute the value of y)
2x - 3 = 1 (Solve the equation)
x = 2
(x,y) = (2,3)
Hope this helped!!!
write an equation in point-slope for the line through the given point with the given slope.(2,6); m=3/2
Answer:
y-6=3/2(x-2)
Step-by-step explanation:
point slope form is y-y1=m(x-x1), where m is the slope and (x1,y1) are numbers.
we have the slope (m) given as 3/2, and the point given as (2,6)
substitute the numbers into the equation
y-6=3/2(x-2)
hope this helps :)
ANOTHER GIVEAWAY!!
first one to answer gets a thank you, 5 rate, brainliest and 100points :D
THE QUESTION IS... what is blank and white and hides in the forest, and eats bambo
Answer:
a panda
Step-by-step explanation:
If f(x) = 1/9x-2, what is f-1 (x)?
Answer:
Simplify (19/x−2)−1.
(x/9)−3
Remove parentheses. x
List all of the solutions.
f−1=(x/9)−3
x=x
Step-by-step explanation:
ANSWER QUICK
Identify an equation in point-slope form for the line perpendicular to y = 3x + 5
that passes through (4, -1).
A. 8+1=-(-4)
B. y-1= -3(x + 4)
C. y +1 = 3(x-4)
D. y - 4 = =
--3(x+1)
what is the slope and y-intercept for the line y = -2x
Answer:
slope = - 2, y- intercept = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 2x , that is
y = - 2x + 0 ← is in slope- intercept form
with slope m = - 2 and y- intercept c = 0 ( that is the origin )
I WILL GIVE BRAINLIEST PLS HELP ME!
Answer:
Quotient of Two Differences: F
Difference of Two Products: C
Product of Two Quotients: C, E
None of These: A, D
Step-by-step explanation:
First row: tile 1 is A, tile 2 is B, tile 3 is C, tile 4 is D
Second row: tile 5 is E, tile 6 is F
Hope this helps!
Find the equation of the line shown.
Answer:
y = -1x + 9
Step-by-step explanation:
y=mx+c
Find the gradient: (m)
gradient = change in y ÷ change in x
so, 3 ÷ -3 = -1
Substitute any coordinate into the equation y= -1x + c
eg. (6,3) (x,y)
x=6 and y=3
3 = -1(6) +c
3= -6 + c
Rearrange to make c the subject
C= 3+6 = 9
so y= -1x +9
1. Write an equation in point-slope form of the line that that passes through the point (4,-5) and has a
3/2
Answer:
y + 5 = (3/2)(x - 4)
Step-by-step explanation:
The point-slope formula is y - k = m(x - h). We get h and k from the given point: h = 4 and k = -5, and m from the given slope: 3/2. Then we have:
y + 5 = (3/2)(x - 4)
Simplify the expression.
16n−16
Answer:
16(n-1)
Step-by-step explanation:
16(n-1) is the simplest form of 16n-16 because you cannot backtrack any farther. To get to 16n-16, you must have 16(n-1) first. When you distribute, you will have 16n and -16. Put those into an equation, you get 16n-16 which is what you have originally.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
Avery has completed 40% of her road trip and has traveled 120 miles. How many total miles is her trip?
Answer:
Step-by-step explanation:
Answer:
300 miles.
Step-by-step explanation:
120 ÷ 40% = 300
Write the equation of the line parallel to 4x - y = 5 and passes through (3, 4)
Answer:
Equation of the line parallel to 4x - y = 5 and passes through (3, 4) is
[tex]y=-4x+16[/tex]
Step-by-step explanation:
Slope of line 4x - y = 5 is -4. Since parallel lines have same slopes therefore slope of other line is -4 as well.
Equation of the line that passes through (3, 4) and has slope -4 is given as
[tex]y-y_1=m(x-x_1)[/tex]
[tex]y-4=-4(x-3)[/tex]
Simplifying it further
[tex]y=-4x+12+4[/tex]
[tex]y=-4x+16[/tex]
