Which table represents a linear function
Answer:
3rd option (top right)
Step-by-step explanation:
3rd option represents a linear equation
y = -2x-1
Answered by GAUTHMATH
What is the equation of the line that passes through (-3,-1) and has a slope of 2/5? Put your answer in slope-intercept form
A: y= 2/5x -1/5
B: y= 2/5x +1/5
C: y= -2/5x -1/5
Answer:
y = 2/5x + 1/5
Step-by-step explanation:
y = 2/5x + b
-1 = 2/5(-3) + b
-1 = -6/5 + b
1/5 = b
Rebecca buys a new couch for $1,200. She plans on making a monthly payment of $75 on the balance, starting the month
after she buys the couch. Which recursive function models the amount of money Rebecca still has to pay for the couch?
The recursive function is A(t + 1) = A(t) - 75
Where;
A(t) = 1,200 - 75×t
The known parameter are;
The amount Rebecca buys the new couch = $1,200
The amount she plans to make as monthly payment = $75
The time she plans to start paying = The month after she buys the couch
Strategy;
Define a recursive function that models the amount of money Rebecca still has to pay
Definition
A recursive function is one which has its own process as an input in the process of its implementation
A recursive function that models the amount of money Rebecca still has to pay for the couch is found as follows;
The amount left for her to pay in the present month = The amount left to pay in the previous month - $75
Let A(t + 1) represent the amount left for her to pay in the present month and let A(t) represent the amount left to pay in the previous month, we get;
A(t) = 1,200 - 75×t
A(t + 1) = 1,200 - 75×t - 75 = A(t) - 75
The recursive function is A(t + 1) = A(t) - 75
The function is recursive because, the function, A(t), is called in as an input to the execution of the function
Learn more about recursive functions here;
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Answer:
f(1) = 1,200
f(n) = f(n-1) -75 for n > 2
Step-by-step explanation:
Since the initial loan amount is $1,200, f(1) =1200.
And since $75 is deducted from the balance each month starting with n >2 , the common difference, d, is -75 .
Use the general recursive function for an arithmetic sequence,f(n)= f (n - 1 ) +d , for n > 2 to write the recursive function models Rebecca’s situation:
sold 72 books, if ratio of books to bookmarks sols was 9:2, how many bookmarks sold?
16 book marks has been sold
Answer:
16 bookmarks
Step-by-step explanation:
9/72 = 2/x
72/9 = 8
2 x 8 = 16
hope this helps
A box contains orange balls and green The number of more four the number of orange If there 38 balls how many green balls and how balls are there in the box ?
let number of green balls= x
let number of orange balls=x+4
x+x+4=38
2x=38-4
2x=34
x=17
number of green balls=17
number of orange balls=21
(a) Joe runs 12 miles in 84 minutes.
How many miles does he run per minute?
İmiles per minute
Step-by-step explanation:
We want to find how many miles per minute Joe runs. This means, we need to simplify the equation:
[tex]\frac{12 mi}{84 min}[/tex]
so that the number on the bottom is 1. How do we do that?
Simple.
Just divide 12 / 84
Answer:
Joe runs approx. 0.143 miles per minute.
Last year, Singh had $20,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 6% simple interest per year. After one year, he received a total of $1280 in interest. How much did he invest in each account?
Answer:
8000 and 12000 respectively
Step-by-step explanation:
Let the amount invested in first account be x and y be the amount invested in the second account.
ATQ, x+y=20000 and 1280=(7/100)*x+(6/100)*y
x=8000 and y=12000.
Use formula autocomplete to enter a sum function in cell B7 to calculate the total of cells in B2:B6
Excel enables the users to perform mathematics basic and advanced function with just one formula.
The formula for sum of entire row or column can be done with just entering a single formula and results are shown in seconds.
The formula for sum of few column cells is,
=SUM(B2:B6)
The spreadsheet allows the user to enter various formula and results are displayed withing seconds.
There are formulas for basic math functions and there are also formulas for advance mathematics calculations. For addition of values of many cells sum formula is used and range is assigned for reference.
The formula adds all the values of selected cells and displays the results in different cell.
Learn more at https://brainly.com/question/24365931
If a household appliance has a wattage of 1,892 and is in use for 5, how much CO2 was produced? Round to 1 decimal.
Answer:
Step-by-step explanation:
dude what class?
A rectangle has a length of 7 in. and a width of 2 in. if the rectangle is enlarged using a scale factor of 1.5, what will be the perimeter of the new rectangle
Answer:
27 inch
Step-by-step explanation:
Current perimeter=18
New perimeter=18*1.5=27 in
Imagine that you are given two linear equations in slope-intercept form. You
notice that both the slopes and the y-intercepts are the same. How many
solutions would you expect for this system of equations?
O A. 1
ОВ. о
C. infinitely many
O D. cannot be determined
SURAT
Answer:
C. infinitely many
Step-by-step explanation:
If two equations in slope-intercept form have the same slope and y-intercept they must be the same line. Additionally, the solutions of a system of equations are wherever the two lines intersect. Since the lines are the same they must intersect at every point. Therefore, there are infinitely many solutions.
(-4/9)*3×(-27/20)*4=
(-4/9)*3×(-27/20)*4= 7.2
Step-by-step explanation:
here's the answer to your question
Determine a scalar c so that the angle between a = i + cj and b = i + j is 45°.
Answer:
c=0
Step-by-step explanation:
ATQ a.b=|a||b|sin(45)
1+c=sqrt(1+c^2)*sqrt(2)*1/sqrt(2)
1+c=sqrt(1+c^2)
(1+c)^2=(1+c^2)
2c=0, c=0
The required simplified value of c is zero for which the angle between a and b is 45°.
What is a vector?Vector is defined as the quantities that have both magnitude and direction are called a vector quantity and the nature of the quantity is called a vector.
Here,
scaler product is given as,
a . b = |a|.|b|cos45
(i + cj). (i + j) = √[1² + c²] . √[1²+1²] × 1/√2
1 + c = √1 + c²
Squaring both sides
(1 + c)² = 1 + c²
1 + c² + 2c =1 + c²
2c = 0
c = 0
Thus, the required simplified value of c is zero for which the angle between a and b is 45°.
Learn more about vectors here,
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Put these numbers in descending order.
0.308
0.193
0.26
0.6
Answer:
0.6
0.308
0.26
0.193
Step-by-step explanation:
0.6
0.308
0.26
0.193
Help! Please? Dont understand
Which set of angles are complementary
Answer:
A. <ECF and <BCF
Step-by-step explanation:
Complementary angles are angles that add up to give 90°
m<BCE = m<BCA = 90° (right angles)
m<ECF + m<BCF = m<BCA
m<ECF + m<BCF = 90° (Substitution)
Therefore, <ECF and <BCF are complementary angles.
(a) 4x + 3y + 2x + 7y
Answer:
6x + 10y
Step-by-step explanation:
4x + 3y + 2x + 7y
=> (4x + 2x) + (3y + 7y)
=> 6x + 10y
Question 4
A sector of a circle has a diameter of 16 feet and an angle of 2pi 5 this is a fraction by the way) radians. What is the area of the sector?
Answer:
40.2
Step-by-step explanation:
Diameter = 16, Radius = 16/2 = 8
Central angle = 2π/5 radians = 72°
Sector area,
8²π×(72/360)
= 64π/5
= 40.2 (rounded to the nearest tenth)
Answered by GAUTHMATH
please help me with geometry
Answer:
∠ DBC = 60°
Step-by-step explanation:
BD is an angle bisector , so
∠ DBC = ∠ ABD = 60°
angel ABD =60°
BD line is bisector
angel DBC=60° because both the angel are similar
find the supplement of 158 degrees and 17 minutes
Answer:
supplement of 158 degree
x+158=180
x=180-158
x=22 degree.
Step-by-step explanation:
Which of the following is a quadratic function
A quadratic a function has a form of,
[tex]f(x)=ax^2+bx+c,a\neq0[/tex]
The first function has a term [tex]x^3[/tex] which doesn't fit the profile of a quadratic function. The highest exponent on x inside a quadratic function can be 2, but here we have 3 so this is not a quadratic function, but rather a cubic function.
The second function fits the form of a quadratic function perfectly.
The third function is a bit tricky. While technically the third function could be considered quadratic if the leading term would be something like [tex]0x^2[/tex] and we did't even see it written out because multiplying with 0. But when we specified the form of a quadratic function, we strictly said that the number before [tex]x^2[/tex] aka [tex]a[/tex] cannot equal to zero. So the last function is not a quadratic function but rather a linear function.
Hope this helps :)
Step-by-step explanation:
f(x) = 4x² + x - 3
[tex]f(x) = 4x {}^{2} + 3 - 2[/tex]
r3t40 is correct
Two identical lines are graphed below. How many solutions are there to the
system of equations?
5
A. Infinitely many
B. Zero
C. One
D. Two
Two identical lines have, A. Infinitely many solutions.
What are the three types of solutions for a system of linear equations?If a system of equations only contains two linear equations with two variables,
The system's equation can be graphed, the graph will have two straight lines, and the intersection point(s) of those lines will be the system's solution.
There are only three matching forms of solution for a given system of equations because there are only three different ways that two straight lines in the plane can graph.
Given are two identical lines,
Now we know the solution of two lines is where they intersect.
We also know that a line is made up of infinite points, So if two lines are identical every point of one line lies with every other point of the other line.
Therefore they have an infinite number of solutions.
learn more about types of solutions system of linear equations here :
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A line passes through (2, −1) and (4, 5).
Which answer is the equation of the line?
A. −3x + 5y = 13
B. −3x + y = −7
C. −3x + y = 17
D. −3x + 5y = −13
Which answer is an equation in point-slope form for the given point and slope?
Point: (1, 9); Slope: 5
A. y − 1 = 5 (x + 9)
B. y − 9 = 5 (x − 1)
C. y + 9 = 5 (x−1)
D. y − 9 = 5 (x+1)
Answer:
−3x + y = −7 y - 9 = 5 (x - 1)
Step-by-step explanation:
y2 - y1 / x2 - x1
5 - (-1) / 4 - 2
6/2
= 3
slope intercept: −3x + y = −7
y - 9 = 5 (x - 1)
Let a submarine be at a constant depth of 5 km. It is headed in the direction of a lighthouse. If the distance between the submarine and the base of the lighthouse is decreasing at a rate of 24 km/h when the sub is 13 km away from the base, then what is the speed of the submarine
Answer:
24 km/h
Step-by-step explanation:
Given:
Constant speed of submarine = 24 km/h
Depth under sea = 5 km
Distance of submarine from lighthouse = 13 km
Find:
Speed of the submarine
Computation:
At steady speed, the distance between both the submarine and the lighthouse base decreases at a rate of 24 km/hr.
So, when it is 13 kilometres from its starting point, the speed remains constant at 24 kilometres per hour.
3. A rectangular sheet of paper is 121/2 cm long and 102/3 cm wide. Find its perimeter .
Answer:189 cm
Step-by-step explanation:
the area of a perimeter is 2L+2w while l is length and w is width
in this case, 121/2 is the length and 102/3 is the width.
using the formula it should be
121/2 x 2 +102/3 x
= 121 + 68
=189 cm
i hope this helps.
how would i find the area of the blue region and the perimeter of the outer window frame
Answer:
The diameter is 6. The radius is 3. For the half of the orange circle.
The area of the half of the small orange circle is = pi*r*r = pi*3*3.
The diameter is 24. The radius is 12.
The area of the half of the light orange circle and the other colors is = pi*r*r = pi*12*12
The area of dark orange, light blue, purple and green figures = pi*12*12 – pi*3*3 = 135*pi
To get the area of the blue figure we need to divide 135*pi into ¼ and you will get the area of the blue figure.
The area of the blue figure =( ¼ )*135*pi *(1/2) = ¼ *1/2 = 1/8
The area of the blue figure is = 135pi / 8
B) outside perimeter of the window frame = 28 +pi*14 = 71.98
Hope this helps you :)
Se practica un orificio circular de 2 cm de diámetro en la pared lateral de un gran depósito a una distancia de 10 m por debajo del nivel del agua. Calcule: a) la velocidad de salida, y b) el volumen que sale por unidad de tiempo. Sol. a) 14 m/s. b) 4.4 x 10-3 m3 /s
Answer:
I dont speak Spanish bro bro
Instructions: Determine whether the lines
passing through the pairs of points are
parallel, perpendicular or neither.
• Line a: (5,3) and (5,7)
• Line b: (2,7) and (-1,7)
Select one:
O Perpendicular
Neither
Parallel
Answer: Perpendicular
Explanation
the gradient of line b is (7-7)/(-1-2) = 0/-3 = 0
Therefore it means that it is a horizontal line
Must click thanks and mark brainliest
Which equation is equivalent to 24% = 82-3?
0 24x _ 22x-3
O 24% = 22%-6
O 24% = 23x-3
O 24% – 23%-9
Answer:
the 4th option
Step-by-step explanation:
8 = 2³
so, when we convert
[tex] {8}^{x - 3} [/tex]
into a "2 to the power of" expression, we get therefore
[tex] ({2}^{3}) ^{x - 3} [/tex]
and when we have an exponent of an exponent, we can simplify by multiplying these two exponents.
3×(x-3) = 3x - 9
and therefore we get
[tex] {2}^{3x - 9} [/tex]
and by the way, we can now even easily solve this for x, as we know
[tex] {2}^{4x} = {2}^{3x + x} [/tex]
after all, because 4x = x + x + x + x = 3x + x = ...
and because we got also
[tex] {2}^{4x} = {2}^{3x - 9} [/tex]
we know that 3x + x = 3x - 9
and that gives us x = -9
What is the value of -
-X2 - 4x – 11 if x = -3?
