Answers
Answer:
(i) Not true for any cases, (ii) True for some cases, (iii) True for some cases, (iv) True for all cases.
Step-by-step explanation:
Now we proceed to check each statement in terms of concepts of function from Analytical Geometry:
(i) Two lines that have the same y-intercept and the same slope intersect at exactly one point.
False, two lines that have the same y-intercept and the same slope intersect at every point. Both lines are coincident. (Answer: Not true for any cases)
(ii) Two lines that have the same y-intercept intersect at exactly one point.
Conditionally true, two lines that have the same y-intercept intersect at exactly one point if and only if slopes are different. (Answer: True for some cases)
(iii) Two lines that have the same slope do not intersect at any point.
Conditionally true, two lines that have the same slope do not intersect at any point if and only if they share the same y-intercept. (Answer: True for some cases)
(iv) Two lines that have two different slopes intersects at exactly one point.
True, two lines that have two different slopes intersects at exactly one point no matter what y-intercepts they have. (Answer: True for all cases)
Related Questions
Ax + By > C
In Which Form is this linear inequality?
Answers
Answer: A
Step-by-step explanation:
Find g(-4) if g(x) = 8x^2 + 4x
Answers
Answer:
Your answer would be -144
The value of the function g(x) = 8x² + 4x at g(-4) is 112.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, a function g(x) = 8x² + 4x.
Now to obtain the value of g(-4) we'll simply substitute - 4 in place of x.
which is g(-4) = 8(-4)² + 4(-4).
g(-4) = 8×16 - 16.
g(-4) = 128 - 16.
g(-4) = 112.
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I hate math so much Help
Answers
Answer:
73/100 is the fraction
0.73 is the decimal
Step-by-step explanation:
52,427 rounded to the nearest thousand
Answers
Answer:
52,000 to the nearest thousand
Answer:
52,000
Step-by-step explanation:
Is this a right triangle?
Answers
Answer:
Yes
Step-by-step explanation:
The equation to find it is Squareroot(a^2 +b^2)
Squareroot(6.4^2 + 12^2) = 13.6
so it is not
find the length of IR using the special right triangles
Answers
Answer:
7
Step-by-step explanation:
This is a 30-60-90 triangle. The side that include the 60 degree angle and the 90 degree symbol side length is half of the hypotenuse. The hypotenuse is 14 so IR is 7.
I’ll give u brainiest pls help me im so lost
Answers
Answer:
(f o g)(4)=27
Step-by-step explanation:
(f o g)(4)=2x+5
f(g(4))=2x+5
f(4²-2(4)+3)=2x+5
f(16-8+3)=2x+5
f(8+3)=2x+5
f(11)=2x+5
f(11)=2(11)+5
f(11)=22+5
f(11)=27
Therefore, (f o g)(4)=27
Please help! Will mark brainliest
Answers
Answer:
B
Step-by-step explanation:
Angles 5 & 6 are supplementary
“Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.”
let me know if this helped!
Please help me???????
Answers
Answer:
i can't see it
Step-by-step explanation:
8 = 4 (a - 6)
what method can I use to answer my problem
Answers
Answer:
expansion
Step-by-step explanation:
Which function has a greater rate of change? Function A: x 1.5 2.5 3.5 4.5 5.5 y 5 0 –5 –10 –15 Function B: y = –4.5x + 15 Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function A has a greater rate of change. Function A has a rate of change of 5 and Function B has a rate of change of 4.5, so Function B has a greater rate of change. Function A has a rate of change of –5 and Function B has a rate of change of –4.5, so Function B has a greater rate of
Answers
Answer:
Function A has a rate of change of -5 and Function B has a rate of change of -4.5, so Function B has a greater rate of
Step-by-step explanation:
Function A:
[tex]\begin{array}{cccccc}x & {1.5} & {2.5} & {3.5} & {4.5} & {5.5} \ \\ y & {5} & {0} & {-5} & {-10} & {-15} \ \end{array}[/tex]
Function B:
[tex]y = -4.5x + 15[/tex]
Required
Which has a greater rate of change
The rate of change of function A is calculated as thus:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1.5,5)[/tex]
[tex](x_2,y_2) = (2.5,0)[/tex]
So, we have:
[tex]m = \frac{0-5}{2.5 - 1.5}[/tex]
[tex]m = \frac{-5}{1}[/tex]
[tex]m = -5[/tex]
For function B
The general function is:
[tex]y = mx + b[/tex]
Where
m is the rate of change
By comparing [tex]y = mx + b[/tex] to [tex]y = -4.5x + 15[/tex]
[tex]m = -4.5[/tex]
So, we have that:
Function A has a rate of -5; function B has a rate of -4.5.
By comparison: -4.5 is greater than 5
Hence, function B has a greater rate.
Mirela has a rectangular piece of paper with an area of 0.35 m2. She cuts the paper into small rectangles with areas of 700 cm2. What is the maximum number of rectangles she can cut?
Answers
Answer:
The maximum number of rectangles that Mirela can cut is 5
Step-by-step explanation:
First, you must ensure that all the measurements are the same units.
The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them.
If the relationship between the magnitudes is direct, that is, when one magnitude increases, so does the other (or when one magnitude decreases, so does the other) , the direct rule of three must be applied. To solve a direct rule of three, the following formula must be followed:
a ⇒ b
c ⇒ x
where a, b and c are known values and x the value to calculate. So:
[tex]x=\frac{c* b}{a}[/tex]
The direct rule of three is the rule applied in this case where there is a change of units.
To perform this conversion of units, you must first know that 1 m² = 10,000 cm². So, if 10,000 cm² is 1 m², how many cm² equals 0.35 m²?
[tex]cm^{2} =\frac{0.35 m^{2} *10000 cm^{2} }{1 m^{2} }[/tex]
cm²= 3500
Now, to calculate the maximum number of rectangles that Mirela can cut you divide the total area of the paper by the area of each rectangle:
3500 cm² ÷ 700 cm²= 5
The maximum number of rectangles that Mirela can cut is 5
6 > 3p + 9
could u also show work
Answers
Answer:-1>p
Step-by-step explanation:
6>3p+9
-9 -9
-3>3p
Divide by 3 on each side
-1>p
Answer:
p < -1
Step-by-step explanation:
Original equation:
6 > 3p + 9
Subtract 9 from both sides
The equation should look like this now:
-3 > 3p
Divide both sides by 3 (to separate the 3 from the p)
-1 > p
p < -1
Hope this helps :)
An employee makes less than
$
78
,
000
a year in income. Which inequality and graph represent the employee’s possible income?
Answers
The inequality of the statememt is x < 78000
How to determine the inequalityFrom the question, we have the following parameters that can be used in our computation:
An employee makes less than $78,000 a year in income.
Represent the earnings of the employee with x
So, we have
x is less than $78,000
When represented as an inequality, we have
x < 78000
See attachment for the graph
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Cameron and Cadena go out to eat for lunch. Part A If their food and beverages cost $22.50 and there is a 9% meals tax, how much is the bill? Write your answer to the nearest cent
Answers
Answer:
24.53
Step-by-step explanation:
9% of 22.50 = 2.03
22.50 + 2.03 = 24.53
Answer:
24.53
Step-by-step explanation:
Please I need helppppll
Answers
Answer:
4 cases of oil
Step-by-step explanation:
Answer:
qwerty ur mother
Step-by-step explanation:
A cinema has 300 seats. 60% are filled. How many are empty? i will give brainliest
Answers
............
Answer:
120 seats
Step-by-step explanation:
Total seats in the hall = 300
Percentage of filled seats = 60 %
Number of seats filled = (60 / 100) 300
= 60 * 3
= 180
Therefore, number of empty seats = 300 - 180
= 120
Hope it helps :)
Please mark my answer as the brainliest
Write an equation and solve for x.
Answers
Answer:
x = 22
Step-by-step explanation:
All the sides are equal. So, it is and equilateral triangle and so all the angles will be equal.
Each angle of equilateral angle = 180/3 = 60
3x - 6 = 60 {Add 6 to both sides}
3x = 60 +6
3x = 66 {Divide both sides by 3}
x = 66/3
x = 22
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
Answers
The 6th term is 108
Clifton grew 1 foot over the past year. He is now 5 feet. What is the percent increase in cliftons height
Answers
Answer:
%5
Step-by-step explanation:
i took math lol
PS. plzz tell me if u got it right!!!
Answer:
he grew 1/5 = 20%
he was 4/5 = 80%
know he is 5/5 = 100%
Step-by-step explanation:
Which if the following tables represents a nonlinear function?
Answers
What is the area of this composite figure??
Please help! I am so confused!
Answers
Answer:
180 cm²
Step-by-step explanation:
Area of Triangle: 1/2bh
You can divide the figure into two parts: top and bottom.
Top:
1/2(4)(12)
1/2 (48)
24
24 • 2 (two triangles) = 48 cm²
Bottom:
1/2(12)(11)
1/2 (132)
66 • 2 (two triangles) = 132 cm²
Add them up: 48 cm² + 132 cm² = 180 cm²
find the area of the hexagon
Answers
Answer:A=33
2a2
Step-by-step explanation:look i dont know the whole answer but i hope this helps for a regular hexagon
How many triangles does it make
Answers
Which expression is equivalent to the distance between -13 and 4 on a number line? Select all that apply.
A --13 + (-4)
B. |-13-4)
C-13-4
D. H4+ (-13)
DE H4-(-13)
Answers
Answer:
b, d
Step-by-step explanation:
Zach earns 37.50 every weekend for delivering newspapers. Zach is saving his earnings in order to buy a new computer that costs 470.80. if Zach already has 58.30enter the minimum number of weekends Zach will need to work before he has enough money to buy the computer.
Answers
Answer:
11 weekends.
Step-by-step explanation:
470.80 = 58.30 + 37.50x
-58.30 -58.30
412.50 = 37.50x
divide both sides by 37.50, and x = 11
Plz help me on this
Plz I will give brainliest
Answers
Answer:
3.375 in³
Step-by-step explanation:
1) V = l x w x h
2) Since a cube has all equal sides, then our equation would be V = 1.5³
3) V = 1.5³ = 3.375 in³
Answer:
3.375 in^3.
Step-by-step explanation:
All sides have the same length so the volume = 1.5^3
= 3.375 in^3.
i will give brainliest to whoever answers correctly. this is due in 10 minutes so i would appreciate if you could do it
Answers
Answer:
choice 1) 7
Step-by-step explanation:
6 + (9-1)^2 / 4 x (1/2)^4
6 + 64/4(1/16)
6+16/16
6+1 = 7
Express as a trinomial
(3x + 4)(3x – 10)
Answers
2
−18x−40
9x square minus 18x minus 40
a person bikes 2 1/2 miles at a constant rate in 1/8 of an hour what distance , does the person bikes in an hour.
Answers
Answer:
20 miles
Step-by-step explanation:
We are given that
Person traveled total distance by bike=2 1/2 miles
Person traveled total distance by bike==[tex]2+\frac{1}{2}=2.5miles[/tex]
Time taken by person ,t=1/8 hour
We have to find the distance traveled by person bike in an hour.
We know that
Rate==[tex]\frac{Distance}{time}[/tex]
Using the formula
Rate=[tex]\frac{2.5}{\frac{1}{8}}[/tex]miles/hr
Rate=20mph
In 1 hour person bike traveled distance=20 miles