Answer:
y = 1/3x - 3
Step-by-step explanation:
If the line is perpendicular to y = -3x + 11, it means that the two gradients multiply to make -1.
So the gradient of the perpendicular line is 1/3 (-3 × 1/3 = -1)
y = 1/3x + c
Next, substitute x = -9, and y = -6 to find the y intercept, or c:
-6 = 1/3(-9) + c
-6 = -3 + c
c = -6 + 3
c = -3
The equation of the line is y = 1/3x - 3
Use the Quadratic Formula to solve for x and then determine whether your solution is real or
complex.
y = x2 + 5x + 6
** Remember y = 0 **
Real
o Complex
1
Answer:
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
Step-by-step explanation:
x^2 + 5x + 6 = 0
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{5^2 - 4(1)(6)}}{2(1)} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{25 - 24}}{2} [/tex]
[tex] x = \dfrac{-5 \pm \sqrt{1}}{2} [/tex]
[tex] x = \dfrac{-4}{2} [/tex] or [tex] x = \dfrac{-6}{2} [/tex]
[tex] x = -2 [/tex] or [tex] x= -3 [/tex]
The solution is real.
What is the product of 2.5 x 4.3?
Answer:
10.75
Step-by-step explanation:
2.5 x 4.3 = 10.75
Answer:
[tex]{ \rm{2.5 \times 4.3 = 10.75}} [/tex]
If f(1) = 10 and f '(x) ≥ 3 for 1 ≤ x ≤ 6, how small can f(6) possibly be?
Answer:
[tex]f'( x ) = \frac{f(b) - f(a)}{b - a} \\ = \frac{f(6) -f(a)}{6 - 1} \\ 3\leqslant \frac{f(6) - 10}{5} \\ 15\leqslant f(6) - 10 \\ f(6) \geqslant 15 + 10 \\ f(6) \geqslant 25[/tex]
Answer:
25
Step-by-step explanation:
Our "best" case is when [tex]f'(x) = 3[/tex] everywhere - if it changes it means [tex]f(x)[/tex] will grow faster. But if [tex]f'(x)[/tex] is constant, it means [tex]f(x)[/tex] is the straight line [tex] y-10 = 3 (x-1) [tex], which passes through the point (6, 25)
If a bag contains 16 red, 4 yellow, 20 blue, and eight white balloons, what is the part to whole ratio of red balloons to all balloons?
Answer: 1:3
Step-by-step explanation:
(add) 16 + 4 + 20, + 8 = 48.
Then simplify 16:48 = 2:6 = 1:3
Hope this helped, have a great day/night!
~IFoundJiminsLostJams~
Find the area of the parallelogram.
Answer:
894
Step-by-step explanation:
Engineering An overpass intersects two
lanes of a highway. What must the value of x
be to ensure the two lanes are parallel?
Answer:
they are already paralell
Step-by-step explanation:
ok
If F(x) = 12x/(3 + x2), find F '(3) and use it to find an equation of the tangent line to the curve y = 12x/(3 + x2) at the point (3, 3).
F '(3) =
y(x) =
Answer:
f=12
yx=88
Step-by-step explanation:
How much does each piece cost individually?
Answer:
500 for sofa
Step-by-step explanation:
Need help with this...pronto..please
Highest common factor of 32,48,72
Answer:
8
Step-by-step explanation:
32 = 2 x 2 x 2 x 2 x 2
48 = 2 x 2 x 2 x 2 x 3
72 = 2 x 2 x 2 x 3 x 3
HCF ( 32, 48, 72 )
= 2 x 2 x 2
= 8
x likes teenager but hates children, x likes running but hates walking, x likes swimming but hates water, x likes trees but hates flowers, x likes jeeps but hates car, x likes beef but hates pork. from the following what does x likes?
Step-by-step explanation:
x likes teenagers, running, swimming , trees , jeeps and beef.
You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?
Answer:
208 ounces in 13 pounds
Step-by-step explanation:
Đề bài sau dùng cho 3 câu từ câu 1 đến 3
Doanh thu (triệu đồng) 830 900 950 1.020 1.200
Số cửa hàng 15 25 30 20 10
1. Doanh thu bình quân của các cửa hàng là:
a. 980,0 b. 958,5 c. 950,0 d. 980,6
2. Trung vị về doanh thu là:
a. 900 b. 950 c. 958 d. 925
3. Mốt về doanh thu là:
a. 900 b. 950 c. 1.020 d.
Answer:
Step-by-step explanation:
X-6y=6 find an ordered pair
Answer:
(6,0) or (0,-1)
Step-by-step explanation:
X-6y=6
X=6+6y
X/6=1+y
X/6-1=y
y=X/6-1
We'll use substitution to solve the ordered pair. Let's say Y = 0. We'll insert it back into our equation.
0=X/6-1
1=X/6
6=X
(6,0)
We can also start with X being = 0.
y=0/6 -1
y=-1
(0,-1)
I've attached what that would look like as a graph.
Please help me solve questions 10 & 11 (WILL MARK BRAINLY)!!!!!!
Answer:
10 c 100 b 1000 D 8888 A 2337
Anything would help :))
Step-by-step explanation:
1.
x = number
x/4 = x/3 - 1
x/3 - x/4 = 1
4x/12 - 3x/12 = 1
x/12 = 1
x = 12
2.
the numerator is the top (it gives the number of the parts of the whole that are combined in the fraction).
the denominator is the bottom (it says in how many and therefore how small parts we split the whole).
x = numerator
y= denominator
fraction is x/y
y = x + 2
(x+3)/(y+3) = 23
x + 3 = 23(y + 3) = 23y + 69
x = 23y + 66
now we use the first equation (y = x + 2) and substitute it into the last equation :
x = 23(x + 2) + 66 = 23x + 46 + 66 = 23x + 112
x = -112/22 = -56/11
y = -68/22 = -34/11
the original fraction is
x/y = -56/11 / -34/11 = -56/11 × -11/34 = 56/34 = 28/17
3.
in 1 hour the large pipe has done 1/3 of the work. and the small pipe 1/6 of the work.
so, in total in 1 hour we get (1/3 + 1/6) done.
what factor do we need to multiply (1/3 + 1/6) to get 1/1 (the whole work) ?
x(1/3 + 1/6) = 1
x(2/6 + 1/6) = 1
x(3/6) = 1
x × 1/2 = 1
x = 2
it takes both pipes together 2 hours to empty the pool.
4.
very similar to 3.
we are just using days instead of hours.
in 1 day Erwin gets 1/2 of the work done and Ana 1/5 of the work. so, together, 1/2 + 1/5 of the total work in one day.
so, how many days to get 1/1 (the whole work) done ?
x(1/2 + 1/5) = 1
x(5/10 + 2/10) = 1
x(7/10) = 1
7x = 10
x = 10/7
it takes them together 10/7 days to mow the whole lawn.
3v + 7v + 9v =3 v+7 v+9 v=
Answer:
I cant help you
Step-bBecause i just c
y-step explanation:
The time it takes a worker on an assembly line to complete a task is exponentially distributed with a mean of 8 minutes. a. What is the probability density function for the time it takes to complete the task? b. What is the probability that it will take a worker less than 4 minutes to complete the task? c. What is the probability that it will take a worker between 6 and 10 minutes to complete the task?
What is the equation of the line shown in this graph?
у
5
4
3
(-2,2)
2
1
-5
-4
-3 -2
-1 0
1
2.
3
4
5
-1
-27
(-2,-3)
-3
-4
Answer: (1,-4)
Step-by-step explanation:ssghvssd5633
Graph and solve the following system.
у= 2x + 3
y = -2x + 3
graphed in the image attached with points,
hope this helps :D
pls help i am in k12
Refer to the equation 2x − 6y = 12.
Write the equation in Slope Intercept Form.
Find the x-intercept and the y-intercept?
Create a table of values for 4 points. You can include the intercepts. Show your work.
X
Y
Answer:
(Hope this helps can I pls have brainlist (crown)☺️)
Step-by-step explanation:
To find the x-intercept, substitute in 0 for y yand solve for x . To find the y-intercept, substitute in 0 for x and solve for y .
x-intercept(s): ( 6 , 0 )
y-intercept(s): ( 0 , − 2 )
Use the slope-intercept form y = m x + b to find the slope m and y-intercept b .
Slope: [tex]\frac{1}{3}[/tex]
graph in pic
(Credit: M a t h w a y)
5) Cuando 102 se divide por 2/3 la respuesta es
Answer:
Cuando 102 se divide por 2/3 la respuesta es 153
Step-by-step explanation:
102 : 2/3 =
102 * 3/2 =
51 * 3 =
153Could use some help here plz.
Rainwater is collected in a large pool. After a significant rainstorm, the pool contains
3 3/4 gallons of water. The sun came out after the rain ended. Within a couple of hours, 1/6 of the water collected in the pool evaporated. What value represents the change in the amount of water in the pool? Enter your answer as a simplified fraction in the box.
Answer:
3 1/8
Step-by-step explanation:
3 3/4 and 1/6 percent of the water evaporated
3 3/4 as a inproper fraction 15/4
15/4 * 1/6= 15/24 = 5/8
so we have to subtract 5/8 from 15/ 4
15/4*2/2= 30/8
30/8-5/8= 25/8
Answer:
3 1/8
Step-by-step explanation:
IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
Your help will be much appreciated because i am losing my sanity doing this math
Hey there!
Let's take the number of cows in the field as 'c'.
Then, the number of horses in the field is = c + 2 [2 more horses than cows]
Total number of animals on the field = 16.
So, equation becomes...
c + c + 2 = 16
2c + 2 = 16
Hope it helps ya!
What is the largest multiple of 9 whose negation is greater than -100?
Answer:
99
Step-by-step explanation:
Its negation is greater than -100. Hope this helps!
~Just a joyful teen
[tex]SilentNature[/tex]
Answer:
99
Step-by-step explanation:
Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?
Step-by-step explanation:
Got it. Hope this will help.
Help help please math math please
Answer:
n = 6
Step-by-step explanation:
6÷4 = 9÷n
6n = 9*4
6n = 36
n = 6
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
а
a
O A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
O B. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
о
C. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the longer period
D. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?An Interest Rate is the rate at which a person either takes a loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interests are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
Hence, the correct answer is A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
To know more about Interest Rate
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