Answers
Answer:
The table is a quadratic function
Step-by-step explanation:
Given
The attached table
Required
Tell if it is a quadratic function
The difference in the x values are uniform (i.e. difference of 1), so the following method can be applied.
(1) Subtract adjacent y values.
[tex]d_1=2 - 16 = -14[/tex]
[tex]d_2=-2 - 2 = -4[/tex]
[tex]d_3 = 4--2 = 6[/tex]
[tex]d_4 = 20 - 4 = 16[/tex]
(2) Subtract adjacent differences in (1) above
[tex]d_5 = d_2 - d_1 = -4 --14 = 10[/tex]
[tex]d_6 = d_3 - d_2 = 6 --4 = 10[/tex]
[tex]d_7 = d_4 - d_3 = 16 -6 = 10[/tex]
Notice the calculated differences in (2) are the same.
Hence, the table is a quadratic function
Related Questions
Find the slope of the line represented
by the data below.
Answers
Answer:
slope = 3/4
Step-by-step explanation:
(=^w^=)
can do 7-4/-5--9
3/4 woof
The slope of the line represented by the given data points is 3/4.
To find the slope of the line represented by the given data points, we can use the formula for slope:
slope = (change in y) / (change in x)
Let's calculate the changes in y and x using the given data points:
Change in y:
From y = 4 to y = 16, there is an increase of 16 - 4 = 12.
Change in x:
From x = -9 to x = 7, there is an increase of 7 - (-9) = 16.
Now, we can calculate the slope using the formula:
slope = (change in y) / (change in x)
= 12 / 16
= 3 / 4
Therefore, the slope of the line represented by the given data points is 3/4.
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Find the highest common factor of 126
and 140
Please help
Answers
Answer:
GCF= 14
Step-by-step explanation:
For the values 126 and 140
The highest common factor of 126 and 140 is 14
From the question,
We are to determine the highest common factor of 126 and 140
To do this,
We will list out the factors of the numbers
The factors of 126 are
126 - 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, and 126
The factors of 140 are
140 - 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, and 140.
From above, the common factors are 1,2,7 and 14, and 14 is the highest.
Hence, the highest common factor of 126 and 140 is 14
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Write an exponential function for the graph that passes through the points (0,4) and (2, 36). Use the formula y=ab^x
Answers
Answer:
Using the equation y = abx , substitute both of your given points into that equation.
2 = ab2 and 4 = ab3 Solve each equation for a.
2⁄b2 and 4⁄b3 = a Therefore, 2⁄b2 = 4⁄b3
Cross multiply: 2b3 = 4b2 Divide both sides by b2
2b = 4 a = 2/4 = 1/2
b = 2
y = 1 (2)x
2
Step-by-step explanation:
Two stacks of quarters are shown. Both stacks have the same amount of quarters.
The statement below uses the Cavlieri's principle to explain why the volumes of these two stacks of
quarters are equal.
the sections made by planes
from their respective bases are always equal, then the
volumes of the two solids are equal.
Which of the following pair of statements can be use to fill in the empty boxes above?
Answers
Answer:
in geometry nation its in two solids of equal altitude, parallel to and at the same distance.
Step-by-step explanation:
just got it wrong :(
Answer:
D
Step-by-step explanation:
What expression is undefined
Answers
Answer:
Step-by-step explanation:How do we know when a numerical expression is undefined? It is when the denominator equals zero. When we have a denominator that equals zero, we end up with division by zero. We can't divide by zero in math, so we end up with an expression that we can't solve.
To find:
Which of the four expressions are undefined, or not possible to calculate.
Steps:
Lets go through each option one by one
Option A:
[tex]-\frac{0}{2}[/tex] , in this expression a negative zero is divided by 2, we know that zero divided by any number is equal to 0.
[tex]-\frac{0}{2}= -0 = 0[/tex]
Since option A is defined. Now lets go to option B
Option B:
[tex]\frac{3}{6-6}= \frac{3}{0}[/tex]
this expression shows 3 divided by a zero, but dividing any non-zero number by 0 is not possible.
Therefore option B is undefined. We found out the answer but lets continue for learning purposes.
Option C:
0 ÷ 11 = [tex]\frac{0}{11}[/tex]
This expression is similar to the first expression, where zero is divided by any number.
[tex]\frac{0}{11} = 0[/tex]
Therefore option C is defined. Now let continue to option D
Option D:
[tex]\frac{-4+0}{8}= \frac{-4}{8}= \frac{-1}{2}[/tex]
In this expression, the final answer after simplifying is -1/2 which is a number and is possible to calculate
Therefore option D is defined.
Happy to help :)
If u need any more help feel free to ask
Order the following integers from least to greatest. -4, 3, 0, -2, 1, -3
Answers
Answer:
-4; -3; -2; 0; 1; 3;
Step-by-step explanation:
Given that the quadrilateral shown is a rhombus, which statements are correct? A) mz1 = 32° D) m26 = 58° B) m 2 = 58° E) m27 = 32° C) mz3 = 32°
Answers
Angle 4 would equal the given angle in the opposite corner so angle 4 = 32 degrees.
The diagonal line is a bisector so angle 3 = the given angle of 32 and then angle 5 would also be 32 degrees.
The two diagonals are perpendicular so angle 8 would be 90 degrees.
The three inside angles of a triangle need to equal 180 so angle 1 would be 180-90-32 = 58 and angle 2 would also be 58.
Here are all the angles:
1 = 58
2 = 58
3 = 32
4 = 32
5 = 32
6 = 58
7 = 58
8 = 90
Now just pick the correct answers
1. Suppose your credit card has a balance of $4200 and an annual interest rate of 18%. You
decide to pay off the balance over two years. If there are no further purchases charged to
the card
a. How much must you pay each month?
b. How much total interest will you pay?
Answers
a. I will payoff about $243 and 67 cents each month.
b. I will pay a total interest of 39.24%.
How do credit card payoffs work?
They work on the principle of compound interest.
After one year, I have to pay $(4200*18)/100 =$756 extra
which means my principle amount for second year will be 4200+756=4956$
After second year, I have to pay $(4956*18)/100=$892.08 extra
Total payoff at the end of second year=$4200+$756+$892.08=$5848.08
Therefore, each month I need to pay (5848.08/24)=$243.67
To calculate the interest:
Interest= (Total amount payoff - initial balance)*100/initial balance
=(5848.08-4200)*100/4200
=39.24%
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I was so confident in this question but I still got it wrong:( help!!
Answers
Answer:
I believe it's a. I've seen you posting a lot of questions I hope you do good on your resubmission.
You save $25 each week. How long will it take to save $1000?
Answers
Answer:
40 weeks
Step-by-step explanation:
1000 divided by 25=40
3 3/4 / 2/5 = what? I'm struggling
Answers
Lets convert 3 3/4 into improper fraction first.
[tex]3\frac{3}{4} = \frac{3 \times 4 + 3}{4} \\ = \frac{15}{4} [/tex]
[tex] \frac{3\frac{3}{4} }{ \frac{2}{5} } \\ = \frac{15}{4} \div \frac{2}{5} \\ = \frac{15}{4} \times \frac{5}{2} \\ = \frac{75}{6} \\ = \frac{25}{2} \: or12 \frac{1}{2} or \: 12.5[/tex]
The amount of flight time between failures of an airplane engine is exponentially distributed with mean 900 hours. If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected
Answers
Answer:
0.4866 = 48.66% probability that the engine will fail before it is inspected
Step-by-step explanation:
Exponential distribution:
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
The probability of finding a value higher than x is:
[tex]P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}[/tex]
Exponentially distributed with mean 900 hours.
This means that [tex]m = 900, \mu = \frac{1}{900}[/tex]
If the engine is inspected every 600 hours of flight time, what is the probability that the engine will fail before it is inspected?
This is [tex]P(X \leq 600)[/tex], which is:
[tex]P(X \leq 600) = 1 - e^{-\frac{600}{900}} = 0.4866[/tex]
0.4866 = 48.66% probability that the engine will fail before it is inspected
use the area of the rectangle to find the area of the triangle
Answers
Answer:
The area of the Triangle is 1/2 the area of the Rectangle
The answer is D.
Step-by-step explanation:
Ignore the area of the rectangle for the moment, just so you can get the answer.
Area Triangle = 1/2 * b * h
Area Triangle = 1/2 * 8 * 4
Area Triangle = 1/2 32
Area Triangle = 16 square feet.
The area of the rectangle = L * W
L = 8
W = 4
Area of the rectangle = 8*4 = 32
Working alone, it takes Kristin 11 hours to harvest a field. Kayla can harvest the same field in 16 hours. Find how long it would take them if they worked together.
Answers
Answer:
(11 hrs + 16 hrs)/2 = 13.5 hrs
13.5 hrs /2 = 6.75 hrs
Question 1
The grade 12 class of Ntsako secondary school wants to sell vetkoek with a mincs
to generate funds for the matric farewell. The ingredients of the recipe for the mic
well as the prices they negotiated at the local supermarket are shown on the tables beton
total amount needed for the matric farewell planned for so learners and 3 Educators with
partners, is R88 000.00 Including transport to the venue
25 VETKOEK S GRADE 12 CURRY MINCE FILLING FOR FUNDRAISING
TABLE
Ingredients for curry ice
2 Large onions
1 ko Mince
15 Cups of water
5 Teaspoons sa
2 Cups of vinegar
1 Large carrots (grated)
2 Large potatoes (died)
15 Tablespoons apricot jam
1 Tablespoon chutney
1.5 tablespoons sugar
% teaspoon mild curry powder
Steaspoons hot curry powder
2 tablespoons turmeric
Answers
answer: where is the question?
Since everyone is in the math side of Brainly, i will just get attention here.
Can someone please help me? Im desperate ://
I have a question nobody is answering yet in the geography side of Brainly. Please find my acc and help me.
I n e e d this, thank you ://
Answers
Answer:
yes sir/ma'am omw
Step-by-step explanation:
have a great evening
The ratio 2/8 could represent which of the following?
A) 8 parts that are one fourth each
B) 4 parts that are one-half each
C) 2parts that are one eighth each
D) 2 parts that are one fourth each
Answers
Answer:
C) 2parts that are one eight each.
Step-by-step explanation:
The reason I chose C) as the correct answer is becasue I evaluated it with the steps below.
A) - 8 parts that are one fourth each.
This cannot be correct because it would surpase the 2/8ths (would be over).
B) - 4 parts that are one-half each.
This cannot be correct because it would surpass the 2/8ths (would be over).
C) - 2parts that are one eight each.
This can be correct because 2 parts have 1/8th. 1/8 + 1/8 = 2/8.
D) - 2parts that are one fourth each.
This cannot be correct because the denominator is not 8, it is 4 meaning it wouldn't fit into the format the question asked for (which was 2/8).
This makes the correct answer C).
I hope this helps you understand and helps you in your question.
Plz hurry.....................
Answers
Answer:
It should be 115.2 meters^3
Step-by-step explanation:
Volume = 1/3 a^2h
= 1/3 x 12^2 x 2.4
= 115.2 m ^3
A circular grade has a circumference of 38 yards .Lars is digging a straight line along the diameter of the garden at a rate of 3 yards.How many hours will it take to dig acceso the garden?
Answers
Answer:
It will take 4 hours to dig access to the garden.
Step-by-step explanation:
Given that a circular grade has a circumference of 38 yards, and Lars is digging a straight line along the diameter of the garden at a rate of 3 yards, to determine how many hours it will take to dig access to the garden, the following calculation, knowing that the diameter of a circle is equal to the circumference divided by π:
38 / π = X
38 / 3.14 = X
12.09 = X
12.09 / 3 = 4.03
Therefore, it will take 4 hours to dig access to the garden.
What is the solution to this equation.
4x + 14 = -10 - 4x
Write the number only.
(No x =)
Answers
Answer:
Hi! The answer to your question is [tex]-3[/tex]
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
—————————————————————
If x is an acute angle, and tan x=3/4
evaluate
COS x-sin x/COS x+ sin x
please answer fast 10 points and brainliest answer
Answers
Use the pic and solve the COS x-sin x/COS x+ sin x part
comment if there's something u don't understand
The value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
tanx = 3/4 (x is an acute angle)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}-1=\dfrac{4}{3}-1\\\\\rm \dfrac{cosx-sinx}{sinx}=\dfrac{1}{3}\\\\[/tex] ….(1)
[tex]\rm \dfrac{sinx}{cosx}=\dfrac{3}{4} \\\\\ \rm \dfrac{cosx}{sinx}+1=\dfrac{4}{3}+1\\\\\rm \dfrac{cosx+sinx}{sinx}=\dfrac{7}{3}\\\\[/tex] …(2)
Divide (1) ÷ (2)
(cosx-sinx)/(cosx+sinx) = (1/3)/(7/3) = 1/7
Thus, the value of (cosx-sinx)/(cosx+sinx) is 1/7 if the x is an acute angle, and tan x=3/4
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A culture of bacteria has an initial population of 35000 bacteria and doubles every 10 hours. Using the formula P_t = P_0\cdot 2^{\frac{t}{d}}P t =P 0 ⋅2 d t , where P_tP t is the population after t hours, P_0P 0 is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 3 hours, to the nearest whole number?
Answers
=116,666.66
Answer:43090
Step-by-step explanation: Pt=35000*2 3/10
Pt= 43090.0545
Se extraen dos canicas de un paquete, que tiene dos canicas rojas, dos canicas negras y una canica blanca. ¿Cuáles son los posibles elementos de este experimento aleatorio?
A.
{(blanca, roja), (blanca, negra), (roja, negra), (roja, roja), (negra, negra)}
B.
{(blanca, roja), (blanca, negra), (roja, negra), (negra, roja)}
C.
{(blanca, roja), (blanca, negra), (roja, negra), (blanca, blanca)}
D.
{(roja, roja), (negra, negra), (blanca, blanca), (roja, negra), (blanca, negra)}
Answers
Hombre, no lo sé, pero estoy feliz de hablar
compare the following pairs of numbers. in each pair,state which is greater
Answers
a. 759
b. 8769
c. 96699
d. 36754209
The trick is looking at the first numbers for either possible answer. Pick the one that is the greatest going backward. If you're stuck with the same numbers as in d, just continue going back until you see something like the 7 being greater than the 5.
PLEASE HELP!!! Needed asappp!
Answers
Step-by-step explanation:
Add the corresponding sides of the two equations
1.
2x=6
x=3
substitute for x
3+y=-1
y=-4
4.
5x=10
x=2
substitute for x
2(2)+2y=-2
2y=-6
y=-3
5.
12y=24
y=2
substitute for y
6x+5(2)=4
6x+10=4
x=-6
x=-1
Answer:
Q3. x = 3, y = -4
Q4. x = 2, y = -3
Q5. x = -1, y = 2
Step-by-step explanation:
Since the question is asking us to solve the system using elimination/adding, that's what I'll do.
To solve by adding, we add the like terms of both equations together.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1st question:
x + y = -1
x - y = 7
We add the first term together.
x + x = 2x
Then the second term.
y + -y = y - y = 0
Then the last term.
-1 + 7 = 6
Which becomes:
2x = 6
Then we solve the linear equation.
2x = 6
÷ 2 ÷ 2
x = 3
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
x + y = -1
Substitute x = 3
3 + y = -1
-3 -3
y = -4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2nd question:
2x + 2y = -2
3x - 2y = 12
We add the first term together.
2x + 3x = 5x
Then the second term.
2y + - 2y = 2y - 2y = 0
Then the last term.
-2 + 12 = 10
Which becomes:
5x = 10
Then we solve the linear equation.
5x = 10
÷5 ÷5
x = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
2x + 2y = -2
Substitute x = 2
4 + 2y = -2
-4 -4
2y = -6
÷2 ÷2
y = -3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
3rd question:
6x + 5y = 4
-6x + 7y = 20
We add the first term together.
6x + -6x = 6x - 6x = 0
Then the second term.
5y + 7y = 12y
Then the last term.
4 + 20 = 24
Which becomes:
12y = 24
Then we solve the linear equation.
12y = 24
÷12 ÷12
y = 2
From the x value, we can then find y.
We can use either equation. In this example, I'll choose the first one.
6x + 5y = 4
Substitute y = 2
6x + 10 = 4
-10 -10
6x = -6
÷6 ÷6
x = -1
PLEASE HELP !! ILL GIVE BRAINLIEST !!
Answers
Answer: #1 is the answer. Alternate exterior angles are the pair of angles that lie on the outer side of the two parallel lines but on either side of the transversal line. Notice how the pairs of alternating exterior angles lie on opposite sides of the transversal but outside the two parallel lines.
Step-by-step explanation: Parallel Lines: Definition: We say that two lines (on the same plane) are parallel to each other if they never intersect each other, ragardless of how far they are extended on either side. Pictorially, parallel lines run along each other like the tracks of a train.
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
Answers
Answer:
90
Step-by-step explanation:
an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees
HELP ME PLZ
Which of the following situations could be solved by using the inequality 1 point shown below? * 9 + 1.25x > 14 +0.75x F. Park A charges an entrance fee of $9 plus $1.25 per ride. Park B charges $14 per ride and an entrance fee of $0.75. After how many rides will the total charge at Park A cost more than Park B? G. Danny finishes 1.25 homework problems every 9 minutes. Katie finishes 0.75 homework problems every 14 minutes. After how many minutes will Danny have completed more of his homework than Katie? H. Jake has $9 and spends $1.25 each day. Finn has $14 and spends $0.75 each day. After how many days will Jake have more money than Finn? J. Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia?
Answers
Answer: Essence has run 9 miles and she runs 1.25 additional miles each day. Asia has run 14 miles and she runs 0.75 additional miles each day. After how many days will Essence have run more total miles than Asia
Step-by-step explanation:
In 2000, the population of a district was 32,600. With a continuous annual growth rate of approximately 2%, what will the
population be in 2010 according to the exponential growth function?
Round the answer to the nearest whole number
Answers
Answer:
39,739
Step-by-step explanation:
The formula for exponential growth regarding this situation would be y=32600(1+0.02)^10, because 32600 is our initial amount, 1.02 is our growth rate, and 10 is the number of years. after putting it into a calculator you get 39.739.
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Answers
Answer:
i think your answer would be d
Step-by-step explanation:
The trophic level of an organism is the number of steps it is from the start of the chain
Answer:
D)
Step-by-step explanation:
It starts out with a leaf (1st trophic level)
the leaf then gets eaten by the caterpillar (2nd trophic level)
then, the chameleon eats the caterpillar ( 3rd trophic level)
next, the chameleon gets eaten by the snake ( 4th trophic level)
finally, the snake gets eaten by the mongoose ( 5th trophic level)
Therefore, there are 5 trophic levels