Answer:
x = 0.414729
y = 5.6822
Step-by-step explanation:
We can solve this by either of two mwethods: Solve the equations directly, or graph them to find the point they intersect (the only solution that satisfies both equations).
SOLVE
33y+6x=190
8x+y=9
y = 9-8x
Substitute this value of y in the first equation:
33y+6x=190
33(9-8x)+6x=190
297-264x+6x=190
-264x+6x=190-297
-258x = -107
x = (107/258)
x = 0.414729 Use this value of x to solve for y (in either equation)
8x+y=9
8(0.414729)+y=9
3.317829 + y = 9
y = 5.6822
======
GRAPH:
Plot the two equations and find where they intersect.
(Attached)
A line that passes trough the point (7,3) with slope of -1 ( answer plesse I need help )
Answer:
Slope-Intercept Form:
The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.
3=-7+b
Add 7 to both sides.
10=b
The equation of the line is slope intercept form is y=-x-10.
Point-Slope Form:
The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).
Hope this helps! :)
Answer:
y= -x + 10
Step-by-step explanation:
3 = -1(7) + b
3 = -7 + b
10 = b
Since the slope is -1, that means it's just -x
So y = -x + 10
A car and a van start driving from the same location. The car drives at 40 miles per hour, and the van drives at 52 miles per hour. After 7 hours, how far apart are the car and the van?
WILL MARK BRAINLY NO BOTS!!!
Answer:
84 Miles
Step-by-step explanation:
The car drove 40 miles per hour for 7 hours so the car traveled 40X7 which is 280 miles and the van traveled at 52 miles per hour for 7 hours so the van traveled 52X7 which is 364 miles so the difference between both is 84 miles.
Si al doble de un número, se le adiciona 4 resulta 10 ¿Cuál es el número?
Answer:
3
Step-by-step explanation:
Hice una ecuación: 2x+4=10. Luego, reste 4 de cada lado para obtener: 2x = 6, lo que resulta en: x = 3.
Which values are solutions to the inequality -3x - 4 < 2? Check all of the boxes that apply.
-4
-2
0
3
Answer:
-2
Step-by-step explanation:
You would add 4 to 2 inorder to get 6, then divide by 3 to get -2
express the function graphed on the axes below as piecewise function
for x<-4
for x>2
Answer:
<--------o o------------->
-4 2
Step-by-step explanation:
Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.
From there, we shade the area on the graph that is true to the function. So, we can test points.
First we will test x=-5
-5<-4 --> this is true, so we will shade to the left of x=-4
Now test x=0
0<-4 --> this is false
0>2 --> this is also false, so the area between the two open dots will not be shaded
Now test x=3
3>2 --> this is true, so we will shade to the right of x=3
Shane downloaded 5 songs in two minutes At this rate, how many songs can he download in ½ hour?
Answer:
75
Step-by-step explanation:
he can download 2.5 songs per minute so 2.5 x 30 is 75
Answer:
Shane can download 75 songs in half an hour.
Step-by-step explanation:
use a proportion;
5 x
--- = ---
2 30
30/2 = 15
15 x 5 = 75
x = 75
can anyone please help me asap? thanks in advance.
1. In three minutes Alex typed 120 words. At this rate, how long would it take him to type a 4800 word assignment?
2. The ratio of the length to the width of the Canadian flag is 2:1. What is the width of a 50 cm long Canadian flag?
3. A bulk nut mixture is priced at $1.14 per 100 grams. How much is 600g of this mixture?
please show ur work for each.
Answer:
1. 2 hours
2. 25cm
3. 6.84
Step-by-step explanation:
120÷3=40
4800÷40=120 so 2 hours
for the second one just divide 50 in half
for 3 just do $1.14×6
Answer:
1. 120 min
2. 25 cm
3. $6.84
Step-by-step explanation:
1. 120 words : 3min
multiply each side by 40 because 120 words times 4 is 4800 words
4800 words : 120min
2. 2 : 1 = length : width
multiply each side by 25 because 2 times 25 is 50 cm
50 cm : 25 cm
3. $1.14 : 100 grams
multiply each side by 6 because 100 grams times 6 is 600 grams
$6.84 : 600 grams
The function f(x) =59(x − 32) can be used to determine the temperature in °C when the temperature is x°F. Find the inverse function that can be used to determine the temperature in °F when the temperature is x°C.
Answer:
[tex]F = ( \frac{9}{5}C ) + 32[/tex]
with F = xF and C = xC
=> f(x) = (9/5)x + 32
I'm sorry I can't mark the degree symbol
Step-by-step explanation:
[tex]f(x) = \frac{5}{9}(x-32) \\xC = \frac{5}{9}(xF-32) \\xC * \frac{9}{5} = \frac{5}{9}(xF-32) * \frac{9}{5} \\xC * \frac{9}{5} + 32 = xF - 32 + 32 \\\\xC * \frac{9}{5} + 32 = xF[/tex]
A smokestack deposits soot on the ground with a concentration inversely proportional to the square of the distance from the stack. With two smokestacks d miles apart, the concentration of the combined deposits on the line joining them, at a distance x from one stack, is given by:
[tex]S=\frac{c}{x^2} +\frac{k}{(d-x)^2}[/tex]
where c and k are positive constants which depend on the quantity of smoke each stack is emitting. If k=8c, find the point on the line joining the stacks where the concentration of the deposit is a minimum. xmin= ? miles
Answer:
d/3
Step-by-step explanation:
For k = 8c, the concentration is ...
S = c/x^2 + 8c/(d -x)^2
The minimum of the function will be found where its derivative is zero. The derivative with respect to x is ...
S' = -2c/x^3 +(-2)(8c)(-x)/(d -x)^3
We are interested in the value of x that makes this zero.
0 = -2c/x^3 +16c/(d -x)^3 . . . . . simplify slightly, set S'=0
0 = (-2(d -x)^3 +16x^3)/(x(d -x))^3 . . . . . combine terms, divide by c
0 = d^3 -3d^2x +3dx^2 -x^3 -8x^3 . . . . multiply by (x(d-x))^3/(-2)
9x^3 -3dx^2 +3d^2x -d^3 = 0 . . . . . simplified cubic
Factoring by grouping, we have ...
(9x^3 -3dx^2) +(3d^2x -d^3) = 0
3x^2(3x -d) +d^2(3x -d) = 0
(3x^2 +d^2)(3x -d) = 0
The solution will be found where the second of these factors is zero:
3x -d = 0
x = d/3
The concentration of the deposit is a minimum at x = d/3 miles.
_____
The graph shows the minimum is x = 1/3 when d = 1.
HELP!! Highschool math
Answer:
What does this mean?
Step-by-step explanation:
So you need to divide the m by 234 and after you got your answer you would need to times it by 156
hi please help me with part b and can you see if i did a correctly pls?
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
PLS HELP!! GEOMETRYYY
Plot the points on a graph. You'll get a figure like a trapezoid.
Check the attached image.
_____
RainbowSalt2222 ☔
Find the slope between:
(1,-2)
(2,-2)
Answer: the slope would be 0
Step-by-step explanation:
Factor
1
out of
2x+6.
.
The factored expression is
Answer:
the factored expression: 2(x + 3)
7968 divided by 22 estimating
Answer:
363
Step-by-step explanation:
Which function has the graph shown below? *
a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign
Answer:
C
Step-by-step explanation:
yeah-ya......... right?
Solve for n.
n + 24 = 99
n =
Answer:
[tex]n + 24 = 99 \\ \\ n = 99 - 24 \\ \\ n = 75[/tex]
find the equation of the tangent whose slope is 3 and has the y-intercept 1
Answer:
Look, this should help.
Step-by-step explanation:
A textbook store sold a combined total of 328 math and history textbooks in a week. The number of math textbooks sold was three times the number of history textbooks sold. How many textbooks of each type were sold?.
Answer:
246 math and 82 history textbooks
Step-by-step explanation:
this one is a fun one
328 / 4 gives us a value of m and h which is 82
so 328 = 3x + y
328 = 3m(82) + 1h(82)
328 = 246m + 82h
328=328
HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x
The equation
N(t) = 400/1 + 39e−0.7t models the number of people N in a town who have heard a rumor after t days.
How many people started the rumor?
Functions can be represented as equations, and equations can be represented as functions.
The number of people that started the rumor is 10
The function is represented as:
[tex]\mathbf{N(t) = \frac{400}{1 + 39e^{-0.7t}}}[/tex]
To calculate the number of people that started the rumor, we simply set t to 0.
So, we have:
[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{-0.7 \times 0}}}[/tex]
Evaluate the exponent of e
[tex]\mathbf{N(0) = \frac{400}{1 + 39e^{0}}}[/tex]
Express e^0 as 1
[tex]\mathbf{N(0) = \frac{400}{1 + 39\times 1}}[/tex]
Multiply 39 and 1
[tex]\mathbf{N(0) = \frac{400}{1 + 39}}[/tex]
Add 1 and 39
[tex]\mathbf{N(0) = \frac{400}{40}}[/tex]
Divide 400 by 40
[tex]\mathbf{N(0) = 10}[/tex]
When t = 0, N(t) = 10
This means that 10 people started the rumor.
Hence, the number of people that started the rumor is 10
Read more about functions and equations at:
https://brainly.com/question/3468890
A board is 65 inches long into two pieces, so that one piece is 7 inches shorter than twice the length of the other pieces. Find the length of two pieces
Answer: 24 in, 41 in
Step-by-step explanation:
Set shorter piece is x in, and another longer one is y.
1. x + y = 65
2. y = 2x - 7
plug in the second equation into y of the first equation, we get:
x + (2x - 7) = 65
x + 2x - 7 = 65
3x - 7 = 65 (Add 7 to the both side)
3x = 72 (Divide 3 to both side)
x = 24 in
Plug x in the second equations to slove y.
y = 2x - 7
y = 2(24) - 7
y = 41 in
Aaliyah is deciding between two parking garages. Garage A charges an initial fee of $8 to park plus $2 per hour. Garage B charges an initial fee of $4 to park plus $3 per hour. Let AA represent the amount Garage A would charge if Aaliyah parks for tt hours, and let BB represent the amount Garage B would charge if Aaliyah parks for tt hours. Graph each function and determine the interval of hours parked, t,t, for which Garage A is cheaper than Garage B.
The interval of hours for which Garage A is cheaper than Garage B is t > 4.
Let A represent the amount Garage A would charge if Aaliyah parks for t hours, and let B represent the amount Garage B would charge if Aaliyah parks for t hours.
Garage A charges an initial fee of $8 to park plus $2 per hour. Hence:
A = 2t + 8
Garage B charges an initial fee of $4 to park plus $3 per hour. Hence:
A = 3t + 4
For Garage A to be cheaper than Garage B:
2t + 8 < 3t + 4
8 - 4 < 3t - 2t
4 < t
t > 4
The interval of hours for which Garage A is cheaper than Garage B is t > 4.
Find out more at: https://brainly.com/question/25285332
Help me asap plssssssss
Answer:
B) 20
Step-by-step explanation:
c = √b2 + c2 - 2bc·cos(A) = 20
Have a nice day! :-)
HELP!!! IM CONFUSED
Answer:
2/3Step-by-step explanation:
If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.
=> We see that the rise is 2. So 2 will be our numerator,
=> We can also see that the run is 3. So 3 will be our denominator.
What do we get?
We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.
Which of the following equations has one real solution?
2x2+x+3=0
x2+5x−3=0
x2−5x+4=0
4x2−12x+9=0
Answer:
4x2−12x+9=0
Step-by-step explanation:
The equation, 2x2+x+3=0, does not have a solution
The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37
The equation, x2−5x+4=0, equal 1 and 4
The equation, 4x2−12x+9=0, equals only 3/2
Hope this Helps
I need help with this assignment.
Answer:
slope = - 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 0) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line
m = [tex]\frac{-2-0}{0-(-2)}[/tex] = [tex]\frac{-2}{0+2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1
Please help me with this problem in math it's about evaluating numbers.Thank you if you help me :D
Answer:
5
Step-by-step explanation:
|-3| = 3
2 + 3 = 5
3x-8=3(1x-3)-2
whats the answer to that problem
Answer:
-3
Step-by-step explanation:
......................
digital root of 5307
Answer:
15 hegevwyegecceccr
Step-by-step explanation:
5+3+0+7=15
Answer:
The digital root of 5307 is 6
Step-by-step explanation: