Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound. Which equation can be used to represent the amount of raspberries, r, in terms of apples, a?
r = 4 minus two-thirds a
r = 4 + two-thirds a
r = 6 minus three-halves a
r = 6 + three-halves aThe formula for electrical power is P = I V. Which is the equivalent equation solved for i?
Which of the following correctly uses absolute value to show the distance between -80 and 15? (5 points)
a
|-80 - 15| = |-95| = -95 units
b
|-80 + 15| = |-65| = 65 units
c
|-80 - 15| = |-95| = 95 units
d
|-80 + 15| = |-65| = -65 units
Answer:
it's answer is b
|-80+15| = |-65| = 65 units
Hope this helps :)
This question is about displacement. Displacement is a set of vectors. So the answer is - can't be + can't be.
so,answer-b
Simplify the expression below:
5(2x - 4y)
Answer:
10x-20y
Step-by-step explanation:
5 x 2x - 5 x 4y
10x - 20y
Answer:
10 • (x - 2y)
Step-by-step explanation:
Pull out like factors :
2x - 4y = 2 • (x - 2y)
Final Result:
10 • (x - 2y)
need help its 7th grade math
Answer:
1 inch represents 60 feet.
Step-by-step explanation:
120/2
= 60
So his scale is 1:60
Answer:
Its 1 inch represents 60 ft
Step-by-step explanation:
you have to divide 120 by 2 and thats 1 inch per 60 feet
What is the solution to the system of equations graphed below?
Answer:
a) (2,4)
Step-by-step explanation:
it's where the points meet
What’s the solution for 2x =8
Answer:
4
Step-by-step explanation:
2x = 8
x = 4
Answer: x=4
Step-by-step explanation:
2x = 8
x = 8/2
x = 4
Check: 2(4)=8
3 + 7 Is what
A) 10
B) 18
C) 37
Answer:
A)10
Step-by-step explanation:
hope it helps u
PLZ PLZ PLZ HELP MEEEE
Answer:
open comment
please mark me brilliant
Question 6
A machine is used to fill bags with a popular brand of trail mix. The machine is calibrated so the distribution of the weights of the bags of trail mix is normal,
with mean 240 grams and standard deviation 3 grams. Of the following, which is the least weight of a bag in the top 5 percent of the distribution?
Answer:
D. 246 grams
Step-by-step explanation:
invnorm(.95, 240, 3) is around 244 and the question is asking for the least weight of a bag in the top 95%, so the smallest number within
a. 234
b. 240
c. 243
d. 246
e. 248
is d.
The distribution of the mix follows inverse normal distribution
The least weight of a bag in the top 5% is 246 grams
The given parameters are:
[tex]\mathbf{\mu = 240}[/tex] ---- population mean
[tex]\mathbf{\sigma = 3}[/tex] ---- population standard deviation
To get the least weight of a bag in the top 5%, we make use of inverse normal distribution.
So, we have:
[tex]\mathbf{Least = invNorm(p,[\mu,\sigma])}[/tex]
Being in the top 5% means that:
p = 1 - 5%
p = 1 - 0.05
p = 0.95
So, we have:
[tex]\mathbf{Least = invNorm(0.95,240,3)}[/tex]
From the inverse normal calculator, we have
[tex]\mathbf{Least = 246}[/tex]
Hence, the least weight is 246 grams
Read more about inverse normal distributions at:
https://brainly.com/question/15798227
I need help math plz help me
Answer:
1 ballon will be leftover.
Step-by-step explanation:
53 divided by 4 will be 13 and 13 times 4 is 52 sooo 53 minus 52 is 1 balloon left over. the sad lonely balloon...
Please help me answer this question thank you.
Answer:
122°
Step-by-step explanation:
10a + 2° + 5a - 2° = 180° [ being linear pair ]
15a = 180°
a = 180° / 15
a =12°
Now
<XYQ = 10a + 2° = 10 * 12° + 2° = 120° + 2° = 122°
Hope it will help :)
what is the LCM of 9,12,16
Answer: The Least Common Multiple (LCM) for 9, 12 and 16, notation LCM (9,12,16), is 144.
Answer:
its 144
Step-by-step explanation:
A mountain climber ascends 800 feet per hour from his original
position. After 6 hours, his final position is 11,600 feet above sea
level. Find the climber's original position,
Answer:
4,800
Step-by-step explanation:
Just multiply 800 x 6, which gets 6,800. Then, get 11,600 and subtract 6,800 from it. You'll get 4,800.
Can someone tell just the answer
Answer:
Option D is correct .
Step by step explanation:
A function is given to us and we need to find its inverse . The function is g(x) = -2x⁵ - 2.
So for finding its inverse , exachange x with y .
⇒ g(x) = -2x⁵ - 2 .
Let g(x) = y ,
⇒ y = -2x⁵ - 2 .
Replace x with y ,
⇒ x = -2y⁵ - 2
⇒ x + 2 = -2y⁵
⇒ y⁵ = x+2 / -2
⇒ y⁵ = (-1) ( x + 2) / (-1)(-2)
⇒ y⁵ = -x - 2/ 2
⇒ y = ⁵√ [ ( -x -2)/2 ]
Hence the inverse of the function is ,
[tex]\boxed{\red{\bf f^{-1}(x)=\sqrt[5]{\dfrac{-x-2}{2}}}}[/tex]
Hence the correct option is (D) .Suppose a classroom where a debate is being held has an area of 252 square feet. If the classroom is 14 feet wide, how long is the classroom?
Answer:
18 feet long
Step-by-step explanation:
252 ÷ 14 = 18
:)
plzzzzz help plz i need this answer
Answer:
Step-by-step explanation:
3x - 4 = x + 4
2x - 4 = 4
2x = 8
x = 4
BC = 4 + 4 = 8
What value of x is in the solution set of 4x - 12 < 16 + 8x?
0-10
O-9
08
O 7
Answer: 7 and 8
Step-by-step explanation:
[tex]4x-12 < 16+8x\\\\-12 < 16+4x\\\\-28 < 4x\\\\-7 < x \\\\x > -7[/tex]
So, both 7 and 8 are in the solution set.
What are the pros and cons of using social media from the candidate's perspective?
Someone plz help last one for 100 Pt grade
Answer:
Pro: It can give greater insight into an applicant's abilities. ...
Con: It could reveal protected information. ...
Pro: It can reveal ugly incidents. ...
Con: It isn't always reliable. ...
Pro: It can make an even better case for an employee. ...
Con: It could raise equal employment opportunity concerns.
Step-by-step explanation:
got it right
Distance between (-9,-6) and (-6,-8)
Answer:
The distance is....
5
Step-by-step explanation:
What is 4.35 divided by 2.5?
Answer:
1.74
Step-by-step explanation:
6th grade math help me plzzz
Answer:
D
Step-by-step explanation:
Answer:
answer is d
2upon7
hope you understand
If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?
Answer:
The value of g(f(3)) = 2
Step-by-step explanation:
We are given:
[tex]f(x)=2x[/tex]
[tex]g(x) = x-4[/tex]
And we need to find g(f(3))
First we need to find g(f(x))
by putting the value of f(x) into g(x) i.e put x = 2x
[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]
Now, we need to find g(f(3)) by putting x = 3 in g(f(x))
[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]
So, the value of g(f(3)) = 2
Brian has reduced his cholesterol level by 13% after his last check up. If his original level was 240, what is his approximate cholesterol level now?
Answer:
208.8
Step-by-step explanation:
240 times 0.87 is 208.8
What is a simplified expression term for -10f + -9f + 7
Answer:
-19f + 7
Step-by-step explanation:
group the fs
-19f + 7
is the simple expression
Find the value of x in the triangle shown below choose 1 answer
Answer:
x=10
Step-by-step explanation:
X^2=6^+8^
x^2=36=64
x^2=100, square root of 100 =10
x=10
I don’t understand someone please help ! In the bottom it says follow the steps above to find the equation of these two trend line
1.(x2 , y2) =(3,12 ) ( x1 , y1) =(-6,-6)
2.(x 2 , y2 ) =(2,7 ) ( x1 ,y1) =(-2,-5)
Answer:
I really dont know
Step-by-step explanation:
Answer:
step below
Step-by-step explanation:
1. (0,9) (9,0) or (7,2) or (1,8)
2. m = rise/run = (0-9) / (9-0) = -1
3. y = mx + b for point (9,0)
y intercept ( b) = y - mx = 0 - (-1)*9 = 9
4. equation for trend line: y = -x + 9
check use (7,2): 2 = -7 + 9
Given mn, find the value of x.
+
(x-3)
(8x+3)
Answer
x=20
Step-by-step explanation:
(x-3) + (8x+3) = 180
9x = 180
x=20
I don't understand the way they've arranged the statement...
Which of these factions are greater than 11/20
Learning task 2
A.for this learning task,be able to supply the missing value if y varies jointly or if y varies both directly and inversely to x and z.
Step-by-step explanation:
Row 1
k=2 , Equation: y=2xzRow 2
x=10, k=2Row 3
y= 192, Equation: y= 4xzRow 4
z= 2, k= 3Row 5
x= 16/3, k= 3/4Note. The equation should be y = 3/4xz, not y = 3/4xy