The function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
How to read the data from the table?Table is a way to represent the data of the two or more variable. To read the data from the table, look for the value of one variable, and get the resultant value of other variable from the corresponding block.
The linear or quadratic function, can be model with the data table.
Linear model-The the highest power of unknown variable in linear model is 1. To construct the linear model with the values given in the table, the slope of the two lines should be equal.Quadratic model-The the highest power of unknown variable in linear model is 2. To construct the quadratic model, the standard form of the quadratic equation must satisfy for all the of the data table.The 2-column table with 5 rows is given with the following data.
The first column is labeled x with entries -2, -1, 0, 1, 2.
The second column is labeled [tex]f(x)[/tex] with entries 0, 3, 4, 3, 0.
The function for the above table is,
[tex]f(x)=|x^2-4|[/tex]
For an input of 0.
[tex]f(0)=|0^2-4|\\[/tex]
Thus, the function for the 2-coulmn table with 5 rows for an input of 0, which satisfy all the input and output values of table is,
[tex]f(0)=|0^2-4|\\[/tex]
Learn more about the data table here;
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Answer:
The answer is 4
Step-by-step explanation:
Says so on edge
In the diagram below, AB is parallel to CD. What is the value of x?
72
А
B
D
O 72
O 18
62
108
Answer:
x = 72
Step-by-step explanation:
angles x and 72° are corresponding angles and are congruent , then
x = 72
The value of x is 72 degree.
Option A is correct.
What is Parallel line?The basic qualities listed below make it simple to identify parallel lines.
Parallel lines are defined as straight lines that are always the same distance apart.Parallel lines never intersect, regardless of how far they are extended in either direction.We have the parallel line AB || CD.
As, we know the parallel line have following property
Corresponding Angle are EqualAlternate Interior Angle are EqualAlternate Exterior Angle are EqualNow, from the figure using Corresponding angle
x = 72 degree
Thus, the required angle is 72 degree.
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What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200.
On solving the linear system, for the value of y = 15, the value of x is 200. The correct option is D.
What is the linear system?It is a system of an equation in which the highest power of the variable is always 1. A one-dimension figure that has no width. It is a combination of infinite points side by side.
Given
The linear equation is shown below.
[tex]\rm \dfrac{1}{5}x - \dfrac{2}{3}y = 30[/tex]
The equation can be written as
[tex]\rm 3x - 10y = 450\\[/tex]
For y = 15, the value of x will be.
[tex]\begin{aligned} \rm 3x - 10*15 &= 450\\\\\rm 3x - 150 &= 450 \\\\\rm 3x &= 600\\\\\rm x &= 200\\\end{aligned}[/tex]
The value of x is 200.
Thus, option D is correct.
More about the linear system link is given below.
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Jose rode his bike for 18 miles in one hour. Which graph best represents y, the number of miles a Jose can travel in x hours?
Explain Please!
Answer:
the answer is option C..
Answer:
graph c
Step-by-step explanation:
if Jose rode his bike for 18 miles in one hour, the graph has to show it. Graph c is the only one that shows 18 miles in one hour, being the point (1,18)
One more I think!
We got this!
If the 0 in the numeral 60428 is changed to 6 , by how much is the new number greater?
I think it should be 6000 more! If not im so sorry!! Have a nice day!!
What is (2x⁵+2x³-5x²-x+4)÷(x²+x+2)?
Answer:
2x³ - 2x² - 1 + (6 / x² + x + 2)
Solve the inequality and graph the solution on the number line.
h−9 ≤ 3
I couldn't screenshot the graph
Answer:
A closed circle on 12, going to the left.
Step-by-step explanation:
h − 9 ≤ 3
+ 9 + 9
h ≤ 12
Look for a closed circle on 12, going to the left.
Hope that helps!
5. Which of the following algebraic expressions could
represent forty less than one-half the value of x?
A. 40 -
2
c. 3 (v – 40)
.
)
NINI
B.
40
D.
- 40
x
2
Select one:
O a. A
O b. B
Ос. С
O d. D.
Answer:
dang i had a hard time on this wish i could help
Step-by-step explanation:
Which of the following ordered pairs are solutions to the system of equations below?
a. (1, 6)
b. (1, -6)
3. (-1, -6)
4. (-1, 6)
Given :-
A system of linear equation in two variables .To Find :-
The solution set of the system .Solution :-
The given system of equation is ,
[tex]\begin{cases} 3x + 2y = 9\dots (i) \\\\ y = 4x + 10 \dots (ii)\end{cases}[/tex]
Firstly , taking equation (ii) ,
[tex] y = 4x +10[/tex]
On subtracting y on both sides, we have ;
[tex] 4x - y +10 = 0[/tex]
Multiplying both sides by 2 ,
[tex] 2(4x -y+10)=2(0)[/tex]
Simplify,
[tex] 8x - 2y = -20 \dots (iii)[/tex]
Adding equation (i) and (iii) ,
[tex] 3x + 2y + 8x - 2y = -20+9[/tex]
Add and subtract the like terms ,
[tex] 11x = -11 [/tex]
Divide both sides by 11 ,
[tex] x = -1 [/tex]
Now substitute this value in equation (i) ,
[tex] 3(-1) + 2y = 9\\ \\ -3 + 2y = 9 \\\\ 2y = 9+3 \\\\ 2y = 12 \\\\ y =\dfrac{12}{2}\\\\ y = 6[/tex]
Hence the correct option is 4 (-1,6) .
I hope this helps . Let me know if you need any further clarification .
Option 4.
For clear understanding refer to the attachment.
A regular octagon has a radius of 6 ft and a side length of 4. 6 ft. A regular octagon has a radius of 6 feet and side lengths of 4. 6 feet. What is the approximate area of the octagon? 71 ft2 101 ft2 110 ft2 202 ft2.
The regular octagon has eight equal sides. Then the area of the regular octagon of side length be 4.6 is 102 ft².
What is a regular octagon?It is a polygon that has eight equal sides. In a regular octagon, the opposite sides are parallel. And its diagonals are also equal and intersect at mid-point.
Given
A regular octagon has a radius of 6 ft and a side length of 4.6 ft.
We know the formula for the regular octagon.
Area of the regular octagon = 2(1 + [tex]\sqrt{2}[/tex]) a²
Where a be the side of a regular octagon.
Then the area of the regular octagon will be.
[tex]\rm Area = 2 (1+\sqrt{2} ) a^2\\\\Area = 2*(1 + 1.414) *4.6^2\\\\Area = 2 * (2.414)* 21.16\\\\Area = 102.16[/tex]
Thus, the area of the regular octagon of side length be 4.6 is 102 ft².
More about the regular octagon link is given below.
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If you can drive 300 km on 16 litres of petrol how far can you drive on 20 litres
Answer:
The answer is 375
Step-by-step explanation:
First you would need to divide 300 and 16 then you would get 18.75 then you multiply that by 20 and then you get your final answer which is 375.
Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for and round your final answer to the nearest hundredth.
Step-by-step explanation:
vol of sphere =
[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]
523.59 units^3
Answer:
523.33 units³
Explanation:
Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.
Using the formula:
[tex]\frac{4}{3}[/tex]πr³ [tex]\frac{4}{3}[/tex](3.14)(5)³523.33 units³ [ rounded to nearest hundredth ]i need help, plsss
4(-4x-1)+x+3=44
Answer:
x = -3
Step-by-step explanation:
Start by distributing the 4 to the terms in the parentheses:
4(-4x)+4(-1)+x+3=44
-16x-4+x+3=44
Combine like terms
-15x-1=44
Add 1 to both sides
-15x-1+1=44+1
-15x=45
Divide both sides by -15
x = -3
Answer: x = -3
Step-by-step explanation: distribute, combine, divide, you get x = -3
write 0.44320 in standard form?
Answer:
4.432 * 10^-1
Step-by-step explanation:
move your decimal so that you have less than 10 before the decimal.
Then count the number of spaces moved (1) and put that in the 10^x (10^-1)
Answer:
[tex]4.432 \times {10}^{ - 1} \\ [/tex]Find the missing side lengths.
Answer:
x= 6
y= 2
Step-by-step explanation:
conversion factor is 2, so you have to divide by 2 in order to get your answers :)
Answer:
x = 6
y = 2
Step-by-step explanation:
Just divide 6 a number and you have to get 3, in this case it's 2.
So then divide 4 and 12 by 2, and that will get you the answer.
Hope this helps!
Can you please help with problem 3
Answer: 6 and 8
Step-by-step explanation:
(The top and bottom)
A trapezoid has two bases and two legs. As seen, the lengths that represent the bases of the trapezoid are the parallel sides 8 and 6. This is because they go on straight and never intersect each other, which makes them parallel. The length that represents the height of the trapezoid is 4, which is the straight line that connects both bases.
Hope this helps =)
a right triangle has legs measuring 20 in. and 28 in. what is the length of the hypotnuse? round to the nearest tenth.
Let Hypotenuse be x
X² = 20² + 28²
x² = 400 + 784
[tex] \tt x= \sqrt{400 + 784 } [/tex]
[tex] \tt x= \sqrt{1,184} [/tex]
[tex] \tt x= 34.4[/tex]
I NEED ALL 3 ASAP IT CLOSES SOON
Answer:
Slope is (-9/3 or) -3
Y-intercept is 4
Equation is y = - 3x + 4
Hope this helps!
Which one is correct?
Answer:
C, there are 9 pencils in each row.
Step-by-step explanation:
-3х + 2 = 2х - 8
Solve for X
Answer:
x=2
Step-by-step explanation:
you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.
A father is 3 times as old as his son, 9 years ago the father was 4 times as old
as his son. find their present ages.
[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]
Given :-We have given in the question that, A father is 3 times as old as his son 9 years a ago, The father was 4 times as old as his son To Find :-We have to find the present ages of son and father Let's Begin :-Let the present age of son be x
A father is 3 times old as his sonTherefore,
Present age of the father will be
[tex]\bold{ = 3x\:\: years }[/tex]
9 years ago,
The age of the son was
[tex]\bold{ = ( x - 9)\: years}[/tex]
So,Age of the father was
[tex]\bold{ = 3(x - 9) \:years ...eq(1)}[/tex]
But,
It is given that, 9 years a ago father was 4 times as old his son age That is, [tex]\bold{ 4(x - 9) ...eq(2)}[/tex]From eq(1) and eq(2) :-
[tex]\sf{3(x - 9) = 4(x - 9)}[/tex]
[tex]\sf{3x - 27 = 4x - 36}[/tex]
[tex]\sf{3x - 4x = -36 + 27}[/tex]
[tex]\sf{-x = -9 }[/tex]
[tex]\bold{\pink{ x = 9 \: years }}[/tex]
Thus, The present age of the son is 9 years
Therefore,Age of the father will be
[tex]\sf{ = 3 × 9 }[/tex]
[tex]\bold{\red{ = 27 \: years }}[/tex]
Hence, The present ages of son and father is 9 years and 27 years
a car of mass 1000kg traveling at a speed of 108km/hr a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction
Answer:
Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.
A boat is heading towards a lighthouse, whose beacon-light is 105 feet above the water. From point AA, the boat’s crew measures the angle of elevation to the beacon, 7^{\circ}
∘
, before they draw closer. They measure the angle of elevation a second time from point BB at some later time to be 21^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest tenth of a foot if necessary.
Answer:
AB ≈ 581.6 ft
Step-by-step explanation:
The triangle from point A to the base of the lighthouse to the light beam can be modeled as a right triangle with the side opposite the angle being given. That means the distance from A to the base of the lighthouse is found from the tangent relation:
Tan = Opposite/Adjacent
tan(7°) = (105 ft)/A
A = (105 ft)/tan(7°)
Using similar reasoning, the distance to B is ...
B = (105 ft)/tan(21°)
Then the distance from A to B is ...
AB = (105 ft)/tan(7°) -(105 ft)/(tan(21°)) = (105 ft)(1/tan(7°) -1/tan(21°))
AB ≈ 581.6 ft
_____
Additional comment
We know that 1/tan(7°) = cot(7°) = tan(83°). This means the relation can be written ...
AB = (105 ft)(tan(83°) -tan(69°))
You have $100 to spend on Christmas gifts for your family. You buy the shirt below on sale for $15 for yourself. The remaining amount was split evenly on gifts for your four family members. How much did you spend on each family member?
Answer:
$21.25
Step-by-step explanation:
Step one: $100 and you subtract the $15 you spent on a shirt which leaves you with $85.
Step 2: finally you need to divide 4 into 85....Calculate...... You spend $21.25 on each member
In the table below, x represents miles traveled and y represents the cost to travel by train.
Miles, x
Cost, y
2
8.50
5
15.25
8
22.00
12
31.00
Which linear equation represents the situation?
y = 2 x + 8.50
o y = 2.25 x + 4.00
y = 6.50 x + 2.25
y = 12 x + 22.50
It's second option, just didn't see a question up for this one
Answer:
Y=2.25x+4.00 would be the answer!:)
Step-by-step explanation:
The slope is 2.25 and the starting point is 4.00
To find the slope subtract 8.50 and 15.25 then divide it by 3
Answer:
B.) y = 2.25x + 4.00
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Which ordered pair is the solution to this system of equation?
y = x - 1
x + y = 5
(-6, -1)
(-6, -1)
(7, -2)
(7, -2)
(-1, 6)
(-1, 6)
(3, 2)
Answer:
(d) (3, -2)
Step-by-step explanation:
It is easy enough to check the offered choices. All but the last fail in the first equation.
(-6, -1): -1 ≠ -6 -1
(7, -2): -2 ≠ 7 -1
(-1, 6): 6 ≠ -1 -1
(3, 2): 2 = 3 -1 . . . . . this is your solution point
Find the length of the third side if necessary write in simplest radical form
a^2 + b^2 = c^2
c is the hypotenuse of the right triangle.
answer: 6
I have the equation I just don't know how to solve it
the answer to your question is a.
WORK The ecology club is landscaping a local park. Dell can plant a flower bed in 3 hours. Max can plant a flower bed of the same size in 4 hours. a. Using t, time in hours, write an expression representing how many flower beds they will complete in t hours working together.
Step-by-step explanation:
this simply means that Dell can do 1/3 of the work in 1 hour, and Max can do 1/4 of the work in 1 hour.
so, working together, they can complete 1/3 + 1/4 of the work in 1 hour.
to really add these fractions, we need to bring them to the same denominator by finding the smallest (or lowest) common multiple of the existing denominators, which is in this very simple case just 3×4 = 12
1/3 + 1/4 = 4/12 + 3/12 = 7/12
therefore, together they can complete 7/12 of a flower bed in 1 hour.
so, by defining the variable fb as the number of completed flower beds :
fb = 7/12 × t
Will someone help out pleaseeeeee
Answer:
(x-2) (x+ 8)
that's the answer to the question