Answer:
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Step-by-step explanation:
Our answer is
3. The lines are neither parallel nor perpendicular to each other because -4/5 and -5/4 are not opposite reciprocals of each other.
Because [tex]-\frac{5}{4}[/tex] and [tex]-\frac{4}{5}[/tex] are not opposite reciprocals because they share the same sign ( - ).
Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To determine if two lines are perpendicular, we need to compare their slopes. If the slopes are negative reciprocals of each other, the lines are perpendicular.
Let's analyze the slopes of the given lines:
Line 1: y = -4/5x + 2
The slope of Line 1 is -4/5.
Line 2: y = -5/4x - 1/2
The slope of Line 2 is -5/4.
To check if these slopes are negative reciprocals, we need to invert one of the slopes and change its sign. Let's invert the slope of Line 1:
Inverted slope of Line 1: -5/4
The inverted slope of Line 1 is not equal to the slope of Line 2 (-5/4 ≠ -5/4). Therefore, the slopes are not negative reciprocals of each other.
Hence, Statement 3 is true. The lines y = -4/5x + 2 and y = -5/4x - 1/2 are neither parallel nor perpendicular to each other because the slopes -4/5 and -5/4 are not opposite reciprocals of each other.
To know more about slopes, refer here:
https://brainly.com/question/29243356
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Please answer correctly !!!!!!!!! Will mark brainliest answer !!!!!!!!!!!
Answer:
w = -5x^2+20x+160/x
Step-by-step explanation:
Divide both sides by x and since you can't divide -5(x-8)(x+4) by x, it becomes a fraction resulting the answer to be w = -5x^2+20x+160/x.
I may be wrong, it's been a while since I solved these types
if a function is one to one then the range becomes the what of the inverse function
One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .
Helpp pLZZZZ
Jack can mow the baseball grounds in 2 hours; Mike can mow the same grounds in 3 hours; and Chris can mow the grounds in 4 hours. How long will it take to mow the baseball grounds if Jack, Mike, and Chris work together?
Leave your answer in proper fraction form, then round to 1 decimal place.
Using your rounded answer, how many minutes would that be?
Answer:
1hr 37min 18 sec
Step-by-step explanation:
Jack can mow the baseball grounds in 6 hours
Jack rate = 1/6 job/hr
-------------------------------
Mike can mow the same grounds in 5 hours
Mike rate = 1/5 job/hr
-------------------------------
Chris can mow the grounds in 4 hours.
Chris rate = 1/4 job/hr
-------------------------------
Together rate = 1/x job/hr
----------------------------------
Equation:
rate + rate + rate = together rate
[ 1/6 + 1/5 + 1/4] = 1/x
x[(5*4 + 6*4+ 6*5)/(6*5*4)] = 1
----
x(74/120) = 1
x = 120/74 = 1.62 hours = 1 hr 37 min 18 sec
IThe first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
72, 24, 8, ...
Find the 8th term.
Answer: the eight term is 8/243
Step-by-step explanation:
Each term in this geometric sequence is equal to the previous term, divided by 3.
72,24, 8
a = 72, r = 1/3
a = first term, r is common ratio
tn = ar^n-1
t8 = 72÷ 3^8–1
t8 = 72÷ 3^7
= 72/ 3^7
= 8/243
can someone tell me how to do area i forgot
Answer:
the answer is
length * width
or side * side
Step-by-step explanation:
Answer:
Below:
Hope this helps :DDD
Step-by-step explanation:
Area of rectangle / square / parallelogram: Base * height
Area of triangle: [tex]\frac{Base*height}{2}[/tex]
Area of equilateral triangle: [tex]\frac{\sqrt{3} }{4} side^2[/tex]
Area of trapezoid: [tex]\frac{Base1 + Base2}{2}*height[/tex]
Area of circle: [tex]\pi r^2[/tex]
Area of rhombus / kite: [tex]\frac{Diagonal1 * Diagonal2}{2}[/tex]
Which of the following is(are) the solution(s) to |x+8|=1
A. x=9
B. x= 7,9
C. x= -7, 9
D. x= -7
answer this plz to be rater 5 stars
Answer:
Step-by-step explanation:
3 min 20 seconds = 3*60 + 20 = 180 +20 = 200 seconds
2 min 44 seconds = 2*60 + 44 = 120 + 44 = 164 seconds
Improvement = 200 - 164 = 36 seconds
Percentage =(36/200) *100
= 18 %
Find the value of x for which the graph of y = 3x^2 - 8x + 7 achieves its minimum y-value.
Answer:
The y value achieves its minimum at x = 4/3Step-by-step explanation:
Given the graph of y to be 3x² - 8x + 7, to get the value of x for which the graph function achieves its minimum y value, we need to find its turning point first.
At the turning point, dy/dx = 0
Given y = 3x² - 8x + 7
[tex]\frac{dy}{dx} = 6x-8\\ at\ turning\ point\ 6x-8 = 0[/tex]
[tex]6x = 8\\x = \frac{8}{6}\\ x =\frac{4}{3}[/tex]
The y value achieves its minimum at x = 4/3
What is the mean of this data set? If necessary, round your answer to the nearest tenth. 11,16,22,28,29,30,31,34,37,38,43,49,56,78,99
Answer:
67 to be at work by the end if your here and we can go to the group and we will be in the office Andy I have to go to work and come back to you and get to you by the end of siliconeyiq and the next day or spiral ham and cheese for the day but will be in a
Write an equation for the line that is parallel to the given line and that passes through the given point. y= 1/2x - 8; (-6,-17)
Answer:
y = x/2 -14
Step-by-step explanation:
Since the lines are parallel, their slopes are equal
For the first line, we have
y = 0.5x -8
so comparing this with the standard form y = mx + c
Our m is the slope which is 0.5 here
kindly recall that 1/2 is same as 0.5
so the slope of the line we want to form also is 0.5
Now, we use the point slope form to find the equation of this new line
Mathematically that would be;
y-y1 = m(x-x1)
So;
y-(-17) = 0.5(x-(-6)
y + 17 = 0.5(x + 6)
y + 17 = 0.5x + 3
y = 0.5x + 3-17
y = 0.5x -14
or y = x/2 -14
What is one value that is a solution t
o 4x+ .8>3.2 b
ut not -6 <-5x - 1
Answer:
x = 0.8
Step-by-step explanation:
What this question asks us is that what value of x solves the first inequality but does not work for the second
Let’s solve the first inequality;
4x > 3.2-0.8
4x > 2.4
x > 2.4/4
x > 0.6
Now all values of x which is greater than 0.6 is a solution to the first inequality
Now to the second, we have;
-6 > -5x -1
Using the range of values from the first inequality;
if we say x = 0.8
Then
-6 > -5(0.8) -1
-6 > -4-1
-6 > -5
But this is not right in the real sense as actually
-5 > -6
So we can confirm that 0.8 is a solution that works for the first inequality but doesn’t work for the second
Factor the trinomial by grouping.
6x^2 - 7x-20
Answer:
(3x+4)(2x-5)
Step-by-step explanation:
You have 6x^2 - 7x-20, you add and take 8x so now you have
6x^2 - 7x +8x -8x -20 now you take 6x^2 and the +8x and factorize
6x^2 +8x = 2x( 3x +4 )
and you have -7x -8x-20 = -15x -20 factorize
-5(3x +4 ) add all up.
2x(3x +4) -5(3x +4) and you have
(3x+4)(2x-5)
in a certain year a new bed costs 35000. if the rate of inflation was 20% for the next two years what would the same bed cost at the end of this period
Answer:
42000
Step-by-step explanation:
First of all, we need to find 20 percent of 35000.
35000×20 / 100 = 7000
now we increase the bed cost by 20 percent.
35000 + 7000 = 42000
Answer:
5000
Step-by-step explanation:
Simplify the following (7)(-6).
Answer:
-42
Step-by-step explanation:
7 x -6 = 42
Evaluate A^2-B^2 for A=3 and B=-4.
Answer:
7
Step-by-step explanation:
3^2 = 9
(-4)^2 = 16
16-9= 7
Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.
Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9
Answer:
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
Step-by-step explanation:
Given data table
x 7 10 8 8 8 9 = total 50
P(X=x) [tex]\frac{7}{50} = 0.14[/tex] [tex]\frac{10}{50} = 0.2[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{8}{50} = 0.16[/tex] [tex]\frac{9}{50} = 0.18[/tex]
Sum of the probabilities is equal ∑x P(x=x)
= 0.14 +0.2 +0.16 +0.16+0.16 +0.18
=1
Given data table
spinning
a spinner 1 2 3 4 5 6
x 7 10 8 8 8 9
P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18
The experimental probability of spinning a number less than 2
P( x<2) = P( x=0) +P(x=1)
= 0 + 0.14
The experimental probability of spinning a number less than 2
P( x<2) = 0.14
sally has a part time job mowing lawns so she can save money for a new car. she charges $5 per hour define the independent and dependent variables
Answer:
Independent: Amount of hours she works
Dependent: Amount of money she makes
Step-by-step explanation:
The independent variable is the part of the equation that changes. In this case the only thing that changes is how long she works, the amount of money she charges and what she is doing does not change.
The dependent variable is what you measure in the equation. In this case, the amount of money she makes depends on the amount of time she works.
A bag contains four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. You randomly pick a jersey. It is purple or has an even number. * A: 0.714 B:0.727 C:0.778 D:0.286
Answer:
A: 0.714
Step-by-step explanation:
four yellow jerseys numbered one to four. The bag also contains three purple jerseys numbered one to three. for a total of 7 jerseys
3 even + 3 purple - the purple even ( no double counting) = 5
P( purple or even) = purple or even / total
= 5/7
= .71428
Andrea's living room floor is a rectangle 12 feet by 15 feet. She wants to buy a rug that is geometrically similar to her living room floor. Which size of rug should she buy? *
Answer:
180 square feet
Step-by-step explanation:
A rug that is geometrically similar to her room floor is one that has the same size as her room floor.
The floor has dimensions 12 feet by 15 feet.
The area of the floor and hence, the rug is:
A = 12 * 15 = 180 square feet
She should buy a rug that is 180 square feet
A committee consisting of 2 faculty members and 4 students is to be formed. Every committee position has the same duties and voting rights. There are 10 faculty members and 11 students eligible to serve on the committee. In how many ways can the committee be formed?
Answer:
14,850 ways
Step-by-step explanation:
Since the order does not matter, the number of possible committees is given by the product of the combination of picking 2 out of 10 faculty members and the combination of picking 4 out of 11 students:
[tex]n= \frac{10!}{(10-2)!2!}* \frac{11!}{(11-4)!4!}\\n=\frac{10*9}{2}*\frac{11*10*9*8}{4*3*2*1}\\n=14,850[/tex]
The committee can be formed in 14,850 ways
The formula for the area of a triangle is , where b is the length of the base and h is the height.
Find the height of a triangle that has an area of 30 square units and a base measuring 12 units.
3 units
5 units
8 units
9 units
Answer:
5 units
Step-by-step explanation:
The area of a triangle is given by
A = 1/2 bh
30 = 1/2 (12)h
Multiply
30 = 6h
Divide each side by 6
30/6 = 6h/6
5 = h
Answer:
5 units
Step-by-step explanation:
Next time please supply the formula, which was apparently given in this question:
A = (1/2)(base)(height)
Here, A = 30 units^2 = (1/2)(12 units)(height), or
30 units^2 = (6 units)(height)
Solving for (height), we get
30 units^2
(height) = ------------------ = 5 units
6 units
The height is 5 units
what's the justification for 2x + 0 = 22
Answer:
Additive inverse property
Step-by-step explanation:
What is one value that makes the fraction (x^2 + 11x +30)/(4x + 44x^2 + 120x) Undefined?
Answer:
-31/11
Step-by-step explanation:
To get the value they makes the fraction undefined, we shall need to equate the denominator to zero
Hence;
4x + 44x^2 + 120x
Divide through be x
4 + 44x + 120 = 0
44x = -124
x = -124/44
x = -62/22
x = -31/11
4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)
Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
Please answer correctly !!!! Will mark brainliest answer !!!!!!!!!
Answer:
functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Step-by-step explanation:
Notice that function g(x) has for roots the values x = -1 and x = 2, (these are the crossings of the x axis that you see in the graph)
On the other hand, the function f(x) has two roots that are obtained by factoring it out:
[tex]f(x)=x^2+x-6\\f(x)= x^2-2x+3x-6\\f(x)=x(x-2)\,+\,3(x-2)\\f(x)=(x-2)\,(x+3)[/tex]
Therefore it has roots at x=2 and x= -3
So functions f(x) and g(x) share one root in common that of x=2 and each have another different root
Heather and Carlos each improved their yards by planting grass sod and geraniums. They bought their supplies from the same store. Heather spent $171 on 14ft^2 of grass sod and 5 geraniums. Carlos spent $117 on 6ft^2 of grass sod and 7 geraniums. Find the cost of one ft^2 of grass sod and the cost of one geranium.
Answer:
The cost of one ft^2 of grass sod = $9
the cost of one geranium= $9
Step-by-step explanation:
Hi, to answer this question we have to write a cost equation for each one:
Heather : 14x+5y =171
Carlos: 6x+7y=117
Where x is the cost of one ft^2 of grass sod and y is the cost of one geranium.
Multiplying Heather's equation by 7, Carlos' equation by 5, and subtracting Carlos' cost to Heather's cost:
98x+35y=1,197
-
30x+35y=585
____________
68x=612
Solving for x:
x = 612/68
x=$9 per ft2
Replacing x=9 on any equation:
6(9)+7y=117
54+7y=117
7y=117-54
7y=63
y=63/7
y=$9
What is the solution to the equation Negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3))? a = –5 a = –3 a = 3 a = 5
Answer:
a = -5
Step-by-step explanation:
negative (5 minus (a + 1)) = 9 minus (5 minus (2a minus 3)) can be expressed mathematically as follows.
- (5 - (a + 1)) = 9 - (5 - (2a - 3))
using the principle of PEMDAS, all the parenthesis values are first solved
- (5 - a - 1) = 9 - (5 - 2a + 3)
-5 + a + 1 = 9 - 5 + 2a - 3
collect like terms
-5 + 1 - 9 + 5 + 3 = 2a - a
-5 = a Therefore,
a = -5
Answer:
-5
Step-by-step explanation:
Tracy has a cell phone plan that provides 250 free minutes each month for a flat rate of $29.
Answer:
250 minutes with the flat rate of $29.
[tex]x\leq 250[/tex]
x would be the number of minutes called.
[tex]x-250[/tex]
Tracy would be charged by $0.35 per minute.
[tex]f(x)=29\\ 0\leq x\leq 250[/tex]
[tex]f(x)=0.35(x-250)+29,\\250\leq x\leq ∞[/tex]
A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At that rate, how many of the 2540 students at the local high school plan to go to college?
Answer:
1960
Step-by-step explanation:
8 out of 10 is 80% or 0.8. 0.8 * 2540 = 1960 students.
Answer:2032
Step-by-step explanation:
8 out of 10 is 80% or 0.8 then 2540 times 0.8=2023
If u subtract 1/2 from a number and multiply the result by 1/2, u get 1/8, what is the number. please help whoever answers correctly I will mark them brainiest, rate them, and thanks to them.
Answer:
3/4
Step-by-step explanation:
Let the unknown number be x.
Subtract 1/2 from the unknown number: x - 1/2
Multiply the result by 1/2: 1/2(x - 1/2)
You get 1/8: 1/2(x - 1/2) = 1/8
Now we solve the equation for x.
1/2(x - 1/2) = 1/8
Multiply both sides by 2.
2 * 1/2(x - 1/2) = 2 * 1/8
x - 1/2 = 1/4
Multiply both sides by 4
4x - 4 * 1/2 = 4 * 1/4
4x - 2 = 1
Add 2 to both sides.
4x = 3
Divide both sides by 4.
x = 3/4
Answer: The number is 3/4.
