NO LINKS!!! For each below, tell whether the table represents a linear, exponential, inverse or no relationship. Write an equation for each table (if possible).
Answers
[tex]\large \boxed{\sf y = (x - 2)^2 - 4}[/tex]
[tex]\large \boxed{\sf Quadratic \ Function}[/tex]
Explanation:A linear function shall increase linearly. Here due to mass differences between points, it is visible that it is not a linear function.
There is a better way to understand what type of equation it is after plotting the coordinates on the graph.
Look at the attachment!After looking so, we can determine this as quadratic function.
** Not a exponential, inverse, linear function **
To find equation:Quadratic function: y = a(x - h)² + k
Locate (h, k) = (2, -4)
Take any other suitable point for example = (0, 0)
Insert values to find (a),
a(0 - 2)² - 4 = 0
4a = 4
a = 1
Now Join together: y = 1(x - 2)² - 4 --- Quadratic Equation
Exponential
It should be a parabola
The best shortcut trick is the fact about the parabola is that parabola is symmetric and axis of symmetry goes through vertex
So on both sides of vertex i e same distance on x from vertex the two x values have same y value .
Observe the table and find similar y values
(0,0) and (4,0)(1,-3) and (3,-3)FIND midpoint of x which is axis of symmetry
0+4/2=21+3/2=2We have been sured axis of symmetry is at x=2
Vertex (2,-4)Form equation
y=a(x-h)²+ky=a(x-2)²-4Put (5,5)
5=a(5-2)²-45=a(3²)-49a-4=59a=9a=9Final equation
y=(x-2)²-4Related Questions
Translate the phrase into an algebraic expression the product of W and 9
Answers
An expression is defined as a set of numbers, variables, and mathematical operations. The algebraic expression that can represent the product of W and 9 is 9W.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The phrase "the product of W and 9" in the form of an algebraic expression can be written as,
Expression = 9 × W = 9W
Hence, the algebraic expression that can represent the product of W and 9 is 9W.
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Two cars, A and B, are travelling along a straight road and in the same direction. Car B is 20 km
ahead of Car A. Car A is travelling at 60 km · while Car B at 50 km 1. They both start at 12:00
hours. At what time Car A will overtake Car B?
Answers
Answer:
2 o'clock
Step-by-step explanation:
Their 'closing speed' is 60 - 50 = 10 km/hr
they have 20 km between them
at closing speed this will take 20 km / 10 km/hr = 2 hours for the cars to meet....this would be at 14:00 or 2 oclock
suppose the mean height in inches of all 9th grade students at one high school is estimated. The population standard deviation is 4 inches. The heights of 10 randomly selected students are 66, 61, 67, 61, 75, 71, 70, 61, 61, and 74
Answers
A mean is an arithmetic average of a set of observations. The height of the 9th-grade students will be 66.7±4 inches.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
Given the height of the 10 selected students is {66, 61, 67, 61, 75, 71, 70, 61, 61, and 74}, also, the standard deviation of the 9th-grade students is 4 inches. Therefore, The mean height in inches of the selected students is,
Mean = (66+61+67+61+75+71+70+61+64)/10 = 66.7inches
Therefore, the height of the 9th-grade students will be 66.7±4 inches.
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Hello please help me………….thank you
Answers
Answer:
1. False —> that’s how you find the perimeter.
2. False —> area is measured in square units.
3. False —> you can only use a multiplication.
4. True —> (2x6) + (2x8) = 28 inches.
5. False —> 5x5 = 25 square meters.
—-
Have a nice day!!
Answer:
Step-by-step explanation:
1 False. The suggestion given is for Perimeter, not area.
2 False. The perimeter is given in units not square units. For example, the Perimeter of square with one side of 7 in is 4 * 7 inches is 28 inches
3 False. You can only use multiplication equations to find a rectangle's area (or at least it is the easiest way to do it.) Higher math courses find areas by using multiplication and addition, but I'm pretty sure you are not in a higher math course.
4.True
5 False. The area of a square is 5 * 5 = 25. Not 4*5 = 20
really need help with my aleks
Answers
Answer:
(4x -4)° +x° +(6x-3)° = 180°J = 99°K = 64°L = 17°Step-by-step explanation:
The relation that helps you write an equation for x is, "the sum of angles in a triangle is 180°."
__
equation(4x -4)° +x° +(6x -3)° = 180° . . . . . sum of angles in this triangle
solution for x11x -7 = 180 . . . . . . . divide by °, collect terms
11x = 187 . . . . . . . . add 7
x = 17 . . . . . . . . . divide by 11
angle valuesm∠J = (6x -3)° = (6(17) -3)° = 99°
m∠K = (4x -4)° = (4(17) -4)° = 64°
m∠L = x° = 17°
Solve this
4 ∙ 7 1/2 ∙ 1 3/5
Answers
Step-by-step explanation:
[tex] = 7 \frac{1}{2} .1 \frac{3}{5} [/tex]
[tex] = \frac{ \red{\cancel{15}}}{ \blue{ \cancel{2}}} . \frac{ \blue{\cancel{8}}}{ \red{\cancel{5}}} [/tex]
[tex] = \frac{3}{1} . \frac{4}{1} [/tex]
[tex] = 12[/tex]
[tex] \: [/tex]
You buy milk at $2.48 per gallon. One portion of oatmeal requires 4 ounces of milk. How much does the milk for one portion cost?
Answers
Answer:
$0.01
Step-by-step explanation:
Convert gallons to ounces:
0.03125 Gallons of milk per serving
0.03125/2.48=0.0126008
Simplify:
0.01.
One portion costs 1 cent.
Assume rounding to $0.08
$2.48/ 128 ounces (1 gallon) = .019375 per ounce x 4 ounces
How many pounds of walnuts that cost $0.80 per pound must be mixed
with 8 pounds of cashews that costs $1.25 per pound to make a mixture of
nuts that costs $1.00 per pound?
Answers
Answer:
The number of walnut pounds we need to add is 10
Step-by-step explanation:
We need to make a mixture that costs $1 per pound.
That means that the total cost of our mixture, divided by the number of pounds must be equal to 1.
[tex]\frac{MixtureCost}{NumberOfPounds} = 1[/tex]
Well, we know that the total cost of our mixture is equal to the cost of the cashews + cost of walnuts.
[tex]MixtureCost = CashewsCost + WalnutsCost[/tex]
We also know that we'll buy 8 pounds of cashews that cost $1.25 each and some amount of pounds (which we'll call x) of walnuts that cost $0.80.
Knowing all of that, we can write this:
[tex]MixtureCost=8*1.25 + x*0.8[/tex]
If we make that multiplication, we have that
[tex]MixtureCost=10+x*0.8[/tex]
Now that we know the cost of our mixture, we just need to know the total number of pounds... But we already know that, don't we?
We know that there are 8 pounds of cashews and x pounds of walnuts, so here's what we can write:
[tex]NumberOfPounds=8+x[/tex]
Now, if we plug in the values we found in the first equation, here's what we have:
[tex]\frac{10+x*0.8}{8+x}=1[/tex]
The 8+x is dividing, so i'll pass it to the other side multiplying:
[tex]10+0.8*x=x+8[/tex]
The 10 in the left side will go to the right side with a negative sign:
[tex]0.8x=x-2[/tex]
Now, if I pass the x from the right side to the left one changing signs:
[tex]0.8x-x=-2\\\\-0.2x=-2[/tex]
By changing signs from both sides, we have that:
[tex]0.2x = 2\\\\x = 10[/tex]
Therefore, the number of walnut pounds we need to add is 10
Determine the equation of the circle graphed below.
10
8
6
4
2
-10 -B -6
8
-4
-2
-2
4
-6
-8
-10
2
4
10
Answers
Answer: (x +7)^2 +(y +6)^2 = 9
Step-by-step explanation:
The given circle appears to be centered at (-7, -6) and have a radius of 3. The standard form equation of a circle is ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle of radius r centered at (h, k)
For (h, k) = (-7, -6) and r=3, your circle is ...
(x -(-7))^2 +(y -(-6))^3 = 3^2
(x +7)^2 +(y +6)^2 = 9
i hope this helps btw i did not copy n paste l got 100% on this
Question 5 options:
Type right or left in the space.
17.2 is 17.2 units to the (right/left) of zero on the number line.
Answers
Answer:
17.2 is 17.2 units to the right of zero on the number line.
Step-by-step explanation:
On a number line positive numbers are on the right of 0 and negative numbers are one the left of 0.
Please mark brainliest :)
Answer: Right
Step-by-step explanation:
All positive numbers are to the right of zero on the number line.
All negative numbers are to the left of zero on the number line.
17.2 is a positive number, so;
17.2 is 17.2 units to the (right/left) of zero on the number line.
what equation represents the graph
Answers
Answer:
y = (x + 1)(x - 2)(x -3)
Step-by-step explanation:
Looking at the graph we see our zeros which is on the x-axis is -1 , 2, 3.
Thus create an equation.
y = (x + 1)(x - 2)(x -3)
Find AUB and AnB for set A and B
Answers
Answer:
Option C is the correct answer
Step-by-step explanation:
A= {-4, -6, 6, 4} (Given)B = {-8, -4, -5, -6, 0} (Given)[tex]A \cup B = \{-4, -6,\: 6, \:4, -8, -5, \:0\}[/tex][tex]A\cap B= \{-4, -6\}[/tex]Please help, image below. Thank you!
Answers
Answer:
10 Inches
Hope it helps, have a fantastic day.
Step-by-step explanation:
The Circumference of a circle can be displayed by this formula:
[tex]C = 2\pi r[/tex]
[tex]C[/tex] is the circumference, and [tex]r[/tex] is the radius.
So just plug in 31 for [tex]C[/tex], and simplify:
[tex]31 = 2\pi r[/tex]
Because the question is asking for the diameter, we only need to divide both sides by pi, as [tex]2r[/tex] is the same thing as diameter.
[tex]9.87 = 2r[/tex] (rounded to the nearest hundredth)
We can even rewrite [tex]2r[/tex] as [tex]d[/tex], which stands for diameter, to make things a little simpler.
[tex]9.87 = d[/tex]
Now we just take 9.87, and round it to the nearest whole number, and we get 10. So your answer is 10 Inches.
Hope it helps, have a fantastic day.
Mr. Clinton chose 10 different test scores out of 50, and they are shown below. For the following set of data, find the mean test score, rounding to the nearest tenth (i.e. one decimal place)
{48, 36, 23, 19, 50, 50, 49, 47, 38, 20}
Answers
Answer:
38.0
Step-by-step explanation:
'Mean' is just the average of the 10 scores ....
add them all together and divide by 10
380 / 10 = 38
help will mark Brainliest
Answers
Answer:
C. is the correct answer
Step-by-step explanation:
A. is incorrect because the sequence does not start with 15
B. is incorrect because the pattern increases by 5, not multiplied by 5
C. is correct because all of the even numbers in the pattern do end in 0
D. is incorrect because even numbers don't end in 5's
Hope this helps!
Answer: "Every even-numbered term in the pattern has a 0 in the evens place"
Step-by-step explanation:
We can compare each statement to the pattern and see which ones don't apply.
The first one is not true. We are adding 5, not having a sum of previous numbers.
The second one is not true, it is adding 5. Not 5 times greater.
An even number is a number ending in 0, 2, 4, 6, or 8. This means
that the third option is correct, giving us our answer.
Pls help urgent i will marke the brainlist
Answers
Answer:
Yes, because 8n + 4 = 4(2n + 1) because of the distributive property. And about the 4 = 52 - 8n, that is also equivalent to the rest of them because of the associative property.
OR
You could just solve the math and show that they are equivalent.
Infusions (or intravenous drips) are used to deliver fluids and drugs to patients.
Nurses need to calculate the drip rate, D, in drops per minute for infusions.
They use the formula D =dv/60n where
d is the drop factor measured in drops per milliliter (mL)
v is the volume in mL of the infusion
n is the number of hours the infusion is required to run.
A nurse wants to double the time an infusion runs for.
Describe precisely how D changes if n is doubled but d and v do not change.
Answers
Answer:
D is halved
Step-by-step explanation:
Given :
D = -dv/60nIf n is doubled :
D' = -dv/60(2n)D' = -dv/120nD' = D/2When n is doubled, D (the drop factor) is half of its original value.
What will be the new function g(x) if f(x)=2x is translated 2 units down and 3 units left?
Answers
2 units down means y is decreased by 2
3 units left mean x is decreased by 3
So
for
f(x)=2xThe translation is
f(x)=2(x+3)-217) Your parents put $2000 into an account when you were born. This account has an interest rate of 8%
How much money will be in the account on your 18th birthday if the interest is
a) Compounded annually?
b) Compounded continuously?
Answers
Answer:
a.......4880
Step-by-step explanation:
b.......180 per year
use the appropriate conversions listed to convert 8 gallons into pints
2 cups=1 pint
2 pints=1 quart
4 quarts=1 gallon
Answers
4qt = 1 gal,
times both sides by 8 gal
32qt = 8 gal, times qts x 2 (pints per qt.)
32qt = 64 pints
if (2x+5,7)=(7,y), find the value of x and y
Answers
[tex]\text{Given that,}~ (2x+5, 7)=(7,y)\\\\\text{So,}~ y = 7 ~ \text{and}~2x +5 = 7\\\\~~~~~~~~2x+ 5=7 \\\\\implies 2x = 7- 5 \\\\\implies 2x = 2\\\\\implies x = \dfrac 22 \\\\\implies x = 1\\\\\text{Hence,}~~ x = 1 ~ \text{and}~ y = 7[/tex]
Add.
−4 3/8 + 8 6/7
It should be a mixed number.
Answers
Answer:
4 27/56
Step-by-step explanation:
−4 3/8 + 8 6/7
8 6/7−4 3/8
subtract whole numbers 8-4=4
combine fractions 6/7-3/8=27/56
4+27/56
=4 27/56
A woodworking artist makes two types of carvings: type X and type Y. He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings. His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less. If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week, which of the following systems of inequalities models this situation?
A. 2x + 3y ≥ 30, 6x + 4y ≤ 120
B. 2x + 3y ≥ 30, 6x + 4y ≥ 120
C. 2x + 3y ≤ 30, 6x + 4y ≤ 120
D. 2x + 3y ≤ 30, 6x + 4y ≥ 120
Answers
The linear systems of inequalities model this situation will be 2x + 3y ≥ 30 and 6x + 4y ≤ 120. Then the correct option is A.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
A woodworking artist makes two types of carvings: type X and type Y.
He spends 2 hours making each type X carving and 3 hours making each type Y carving, and he can spend up to 30 hours each week making carvings.
His materials cost him $6 for each type X carving and $4 for each type Y carving, and he must keep his weekly cost for materials to $120 or less.
If x is the number of type X carvings he makes in a week and y is the number of type Y carvings he makes in a week.
Then the linear systems of inequalities models this situation will be
2x + 3y ≥ 30 and 6x + 4y ≤ 120
Thus, the correct option is A.
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What is the image point of (1, -2) after a translation right 4 units and down 4 units?
Answers
Answer:
Hello!!!!
THE ANSWER: (5, -6)
Please read the explanation... it always helps... trust me...
Step-by-step explanation:
Okkeeeee lets beginnnn....
A translation is when you move a point of shape in a coordinate plane
so a translation of a point to the right means you are moving the point to the right of the coordinate plane meaning the positive side of the x-axis... so in this case you will need to add 4 to the x-coordinate....
simarily to the "down four units"
moving it down means subtraction.... meaning you need to subtract 4 from -2 which gets you -6...
I REALLY HOPE THIS HELPS!!! :)
PLEASE HELP ME WITH PROB AND STATS
6. Use the given data to find the equation of the regression line. Round the final values to three significant digits, if necessary.
Answers
Answer:
y = 5.07 + 0.850x
Step-by-step explanation:
You can check all equation on the calculator y =
Write the symbolic expression for each of the following descriptions, then get rid of the radical and make them exponential expressions in fractional form.
11. The eighth root of fifty-seven to the sixth degree
12. The square root of Y to the fourteenth degree
13. The nth root of m to the o plus p degree.
14. The fifth root plus x of eighty-one to the third power.
15. The cube root of five squared.
Answers
Answer:
11. [tex]57^{6/8}[/tex]
12. [tex]Y^{14/2}[/tex]
13. [tex]m^{\frac{o+p}{n}}[/tex]
14. [tex]81^{\frac{3}{50+x}}[/tex]
15. [tex]5^{2/3}[/tex]
Step-by-step explanation:
When converting from radicals to rational exponents, there's a quick, easy rule to remember:
[tex]\sqrt[n]{x} =\sqrt[\text{index}]{\text{radicand}}[/tex] the exponent is [tex]\frac{\text{power}}{\text{root}}[/tex][tex]\sqrt[n]{x} = x^{1/n}[/tex]The "power" represents the exponent of the radical/radicand, while the "root" represents the index.
11. the eight root of fifty-seven to the sixth degree.
Write the expression in radical form: [tex]\sqrt[8]{57^6}[/tex]Rewrite using the exponent rule (power over root): [tex]57^{6/8}[/tex]12. the square root of Y to the fourteenth power.
Write the expression in radical form: [tex]\sqrt[2]{Y^{14}}[/tex]Rewrite using the exponent rule (power over root): [tex]Y^{14/2}[/tex]13. the nth root of m to the o plus p degree.
Write the expression in radical form: [tex]\sqrt[n]{m^{o+p}}[/tex]Rewrite using the exponent rule (power over root): [tex]m^{\frac{o+p}{n}}[/tex]14. The fifth root plus x of eighty-one to the third power.
Write the expression in radical form: [tex]\sqrt[5+x]{81^{3}}[/tex]Rewrite using the exponent rule (power over root): [tex]81^{\frac{3}{50+x}}[/tex]15. The cube root of five squared.
Write the expression in radical form: [tex]\sqrt[3]{5^{2}}[/tex]Rewrite using the exponent rule (power over root): [tex]5^{2/3}[/tex]A boat takes 2 hours to travel 15 miles upriver against the current. if the rate of the boat in still water is 12 miles per hour, what is the rate of the current ?
Answers
Answer:
4.5 mph or 9/2 mph
Step-by-step explanation:
Let x be the rate of the current
Formula: Distance = rate x time
where rate upstream =(12-x) and time =2 hours
15=(12-x)(2)
15=24–2x
2x=24–15
2x= 9
x=9/2=4.5 miles per hour (rate of current)
From the top of a 180-foot tall lighthouse, the angle of
depression to a ship in the ocean is 27º. How far is the
ship from the base of the lighthouse?
inch tall me
Answers
Reading the given Question , we get to know that 180 ft. is the height of lighthouse and 27° is the angle of depression from top of it to a ship in the ocean
(Figure is attached )
We know , Angle Of depression = Angle Of elevationFor finding base length from the ship to base of lighthouse ,
Tanθ = perpendicular/base
Tan 27° = 180ft/base
Base = 180/0.5095 (Value of tan 27° is 0.5095)
Base = 353.28 ft.
Base = 4239.36 inches
Round 82585 to the nearest ten thousand. Enter your answer in the box
below.
Answers
Volume of 15 ft 13ft and 8ft
Answers
Answer: 1560
Step-by-step explanation:
15 x 13 = 195 and 195 x 8 = 1560
