The system of equations:
5x + 10y = 30
4x + 8y = 36
Has no solutions, the correct option is C.
How to solve the system of equations?Here we have the system of equations:
5x + 10y = 30
4x + 8y = 36
We want to use the substitution method, then we need to isolate one of the variables. Let's work with the second equation:
4x + 8y = 36
Divide by 4:
x + 2y = 9
x = 9 - 2y
Now replace that in the other equation to get:
5*(9 - 2y) + 10y = 30
45 - 10y + 10y = 30
45 = 30
This is a false equation, thus, the system has no solutions.
Learn moer about systems of equations at:
https://brainly.com/question/13729904
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Complete the following table using the problem
above.
Please help me I’m in a hurry what I have In The bottom column that is wrong I think
Answer:
20
Step-by-step explanation:
A swimming club is conducting a vote to choose a mascot. There are 164 club members who want a dolphin for their mascot. These members represent 82% of the total number of club members. How many club members are there?
Group of answer choices
134
200
136
2,000
Step-by-step explanation:
82÷100= 0.82
0.82×164= 134.48 /134
Does anyone know this?
Answers:
A. b=4/3, c=12
B. b=4/3, c=2/3
C. b=8/3, c=16/3
D. b=8/3, c=16
Answer:
the answer will be choice D
as we can see that the triangle have angles measuring 30 60 and 90 so we will use the 30-60-90 rule
you can look up the explantion about the rule online
please help me thank you
Answer:
3
Step-by-step explanation:
The slope is 3. It's the correct answer.
perpendicular to 8x - 2y = 5.
Step-by-step explanation:
First consider the given line 8x = 2y - 5. This can be rewritten as
2y = 8x + 5
y = (8x + 5)/2 = 4x + 2.5
The line is y = 4x + 2.5. This is of the form y = mx + b.
On comparing, we see that the slope of the given line is m = 4
Now, we require to find the slope of a line perpendicular to this. Let its slope be m'.
We know that for two lines to be perpendicular, the product of the slopes = -1
So, m * m' = -1
4 * m' = -1
m' = -1/4
Answer: Slope of the perpendicular line is -1/4.
Two eighth grade classes are having a
bake sale to raise money.
• One class is selling cookies for $1.50
each and has already raised $250.
• The other class is selling muffins for
$2.00 each and has already raised
$175.
Which equation can be used to find b, the
number of baked goods each class needs
to sell so that the total amount raised is
the same for both classes?
O 2.00b + 250 - 1.50b + 175
O 1.50b + 250 - 2.00b + 175
250b +1.50 - 175b + 2
Not Here
Answer:
1.50b + 250 - 2.00b + 175
Step-by-step explanation:
what about this one can someone help me NOT BOTSSSSSSS
Answer:
to be honest gang i dont know
Step-by-step explanation:
im just being honest
(d). Use an appropriate technique to find the derivative of the following functions:
(i) y = √4+3x²/ (x² +1)¹/³ . Pie^x
(ii) xy^3/1+ sec y= e^xy
[Verify your answer by MATHEMATICA and attach the printout of the commands and output]
(i) I would first suggest writing this function as a product of the functions,
[tex]\displaystyle y = fgh = (4+3x^2)^{1/2} (x^2+1)^{-1/3} \pi^x[/tex]
then apply the product rule. Hopefully it's clear which function each of f, g, and h refer to.
We then have, using the power and chain rules,
[tex]\displaystyle \frac{df}{dx} = \frac12 (4+3x^2)^{-1/2} \cdot 6x = \frac{3x}{(4+3x^2)^{1/2}}[/tex]
[tex]\displaystyle \frac{dg}{dx} = -\frac13 (x^2+1)^{-4/3} \cdot 2x = -\frac{2x}{3(x^2+1)^{4/3}}[/tex]
For the third function, we first rewrite in terms of the logarithmic and the exponential functions,
[tex]h = \pi^x = e^{\ln(\pi^x)} = e^{\ln(\pi)x}[/tex]
Then by the chain rule,
[tex]\displaystyle \frac{dh}{dx} = e^{\ln(\pi)x} \cdot \ln(\pi) = \ln(\pi) \pi^x[/tex]
By the product rule, we have
[tex]\displaystyle \frac{dy}{dx} = \frac{df}{dx}gh + f\frac{dg}{dx}h + fg\frac{dh}{dx}[/tex]
[tex]\displaystyle \frac{dy}{dx} = \frac{3x}{(4+3x^2)^{1/2}} (x^2+1)^{-1/3} \pi^x - (4+3x^2)^{1/2} \frac{2x}{3(x^2+1)^{4/3}} \pi^x + (4+3x^2)^{1/2} (x^2+1)^{-1/3} \ln(\pi) \pi^x[/tex]
[tex]\displaystyle \frac{dy}{dx} = \frac{3x}{(4+3x^2)^{1/2}} \frac{1}{(x^2+1)^{1/3}} \pi^x - (4+3x^2)^{1/2} \frac{2x}{3(x^2+1)^{4/3}} \pi^x + (4+3x^2)^{1/2} \frac{1}{ (x^2+1)^{1/3}} \ln(\pi) \pi^x[/tex]
[tex]\displaystyle \frac{dy}{dx} = \boxed{\frac{\pi^x}{(4+3x^2)^{1/2} (x^2+1)^{1/3}} \left( 3x - \frac{2x(4+3x^2)}{3(x^2+1)} + (4+3x^2)\ln(\pi)\right)}[/tex]
You could simplify this further if you like.
In Mathematica, you can confirm this by running
D[(4+3x^2)^(1/2) (x^2+1)^(-1/3) Pi^x, x]
The immediate result likely won't match up with what we found earlier, so you could try getting a result that more closely resembles it by following up with Simplify or FullSimplify, as in
FullSimplify[%]
(% refers to the last output)
If it still doesn't match, you can try running
Reduce[<our result> == %, {}]
and if our answer is indeed correct, this will return True. (I don't have access to M at the moment, so I can't check for myself.)
(ii) Given
[tex]\displaystyle \frac{xy^3}{1+\sec(y)} = e^{xy}[/tex]
differentiating both sides with respect to x by the quotient and chain rules, taking y = y(x), gives
[tex]\displaystyle \frac{(1+\sec(y))\left(y^3+3xy^2 \frac{dy}{dx}\right) - xy^3\sec(y)\tan(y) \frac{dy}{dx}}{(1+\sec(y))^2} = e^{xy} \left(y + x\frac{dy}{dx}\right)[/tex]
[tex]\displaystyle \frac{y^3(1+\sec(y)) + 3xy^2(1+\sec(y)) \frac{dy}{dx} - xy^3\sec(y)\tan(y) \frac{dy}{dx}}{(1+\sec(y))^2} = ye^{xy} + xe^{xy}\frac{dy}{dx}[/tex]
[tex]\displaystyle \frac{y^3}{1+\sec(y)} + \frac{3xy^2}{1+\sec(y)} \frac{dy}{dx} - \frac{xy^3\sec(y)\tan(y)}{(1+\sec(y))^2} \frac{dy}{dx} = ye^{xy} + xe^{xy}\frac{dy}{dx}[/tex]
[tex]\displaystyle \left(\frac{3xy^2}{1+\sec(y)} - \frac{xy^3\sec(y)\tan(y)}{(1+\sec(y))^2} - xe^{xy}\right) \frac{dy}{dx}= ye^{xy} - \frac{y^3}{1+\sec(y)}[/tex]
[tex]\displaystyle \frac{dy}{dx}= \frac{ye^{xy} - \frac{y^3}{1+\sec(y)}}{\frac{3xy^2}{1+\sec(y)} - \frac{xy^3\sec(y)\tan(y)}{(1+\sec(y))^2} - xe^{xy}}[/tex]
which could be simplified further if you wish.
In M, off the top of my head I would suggest verifying this solution by
Solve[D[x*y[x]^3/(1 + Sec[y[x]]) == E^(x*y[x]), x], y'[x]]
but I'm not entirely sure that will work. If you're using version 12 or older (you can check by running $Version), you can use a ResourceFunction,
ResourceFunction["ImplicitD"][<our equation>, x]
but I'm not completely confident that I have the right syntax, so you might want to consult the documentation.
Please help missed this lesson
Answer:
m∠XYW = 32°, m∠WYZ= 85°
Step-by-step explanation:
6x+44-10x+65=117
-4x+109=117
-4x=117-109
=8
x=-8÷4
=-2
Hence, ∠XYW = (6x+44)°
= [6(-2)+44]°
= (-12+44)°
= 32°
Hence, ∠WYZ = 117° - 32°
= 85°
Mrs.Balthazar’s car used 2.5 gallons of gasoline this week. She drove a total of 37.9 miles. If the car got the same gas mileage for the entire trip, how many miles did the car travel for each gallon of gasoline?
Answer:
Step-by-step explanation:
37.9 mi / 2.5 gallons = 15.16 miles
Does this graph represent a function? Why or why not?
Answer:
yes
Step-by-step explanation:
you can use the vertical line test
y<_ - 1/2 + 4
y> - x
Answer:
1.4.5
2.idont know the answer for that question because I am grade 6
A line passes through a point (8, 2) and has a slope of 3/2
Answer:
y = 3/2x - 10
Step-by-step explanation:
The equation :
y - y1 = m(x - x1)
y - 2 = 3/2(x - 8)
y - 2 = 3/2x - 12
y = 3/2x - 12 + 2
y = 3/2x - 10There were 5 7/10 of water in a bucket. Mollie spilled some of the water. Then she added an additional 1 5/10 liters of water to the bucket. After that, there was 6 4/10 liters of water in the bucket. How much did Mollie spill?
Answer:
8/10
Step-by-step explanation:
57/10 add 15/10=72/1072/10 subtract 64/10=8/10Which logarithmic equation is equivalent to the exponential equation below?
e^4x = 5
Step-by-step explanation:
e^4x = 5
x = 1/4 × ln(5)
x ÷ 1/4 = ln(5)
x.4 = ln(5)
4x = ln(5)
ln(5) = 4x
Option → D
harriet is making loaves of bread for her grandmothers bakery. she has 12 1/2 cups of flour. the recipe calls for 5 1/2 cups of flour to make 3 loaves of bread. which equation can be used to find L, the total number of loaves of bread harriet can make
A 12 1/2 x 5 1/2 = L/3
B 12 1/2 divided by 5 1/2 = L/3
C 12 1/2 + L/3 = 5 1/2
D 12 1/2 - L/3 = 5 1/2
9514 1404 393
Answer:
B 12 1/2 divided by 5 1/2 = L/3
Step-by-step explanation:
The proportion ...
(recipe flour)/(recipe loaves) = (available flour)/(available loaves)
can be rearranged to ...
(available flour)/(recipe flour) = (available loaves)/(recipe loaves)
(12 1/2) / (5 1/2) = L / 3 . . . . . . matches choice B
How many different four-digit numbers can be formed with the numbers 7; 4; 5; 1; 2; 9; and 8?
Slope of 4/5 on line graph
Answer:
0
Step-by-step explanation:
Because it is a line parallel to x-axis.
Write the equation of the line passing through the points (-7, 5) and (7, 1)
Answer:
y = -2/7(x) + 3
Step-by-step explanation:
The equation of a line can be stated as y = mx + b, where m is the slope and b is the y-intercept (the value of the function when x = 0). To find the equation of the line, we'll start by finding the slope.
The slope can be expressed as [tex]\frac{y_{2} - y_{1}}{x_{2}-{x_1}}[/tex]
Substituting in our coordinates, we have:
[tex]m = \frac{1 - 5}{7 - (-7)} = \frac{-4}{7 + 7} = \frac{-4}{14}[/tex], which can be simplified to [tex]-\frac{2}{7}[/tex]
Plugging that back into our equation, we have y = [tex]-\frac{2}{7}[/tex]x + b
Now, to find b, we substitute in one of our sets of coordinates. Let's use (-7, 5)
x = -7 and y = 5, which gives us:
[tex]5 = -\frac{2}{7} (-7) + b[/tex]
[tex]-\frac{2}{7} (-7) = 2[/tex], which gives us:
5 = 2 + b
Subtracting 2 from both sides, we get:
3 = b
Plugging that back into our equation, we have [tex]y = -\frac{2}{7} x + 3[/tex]
Marcus works at a clothing store and gets an employee discount. The price
he pays can be modeled by the function d(c) = C -0.10c, where c is the original price
of the item. Find d(32) and describe what this means in the context of the problem.
(please answer i need asap)
9514 1404 393
Answer:
d(32) = 28.80
the price Marcus pays on an item with an original price of 32
Step-by-step explanation:
d(32) = 32 -0.1(32)
d(32) = 28.8
The problem statement tells you d(32) is the price Marcus pays when the original price is 32.
Solve the equation 6m + 10n = 12 for m.
-IO
Answer:
N=7.2
Step-by-step explanation:
6x-10= -60
10x7.2= 72
72+-60=12
So N=7.2
elena, karla and feye are playing a card game where they score points. karla scores twice the number of points elena foes and faye scores 30 points more then elena does. the sum of their three scores is 114 . who scores more points
Answer:
faye
Step-by-step explanation:
okay so
114-30=84
25% of 84 = 21
21 is how much elena has
21 x 2 = 42
42 is how much karla has
21 + 30 = 51
51 is how much faye has
42 + 21 = 63
63 + 51 = 114
so therefore faye has the most
Identify the focus, directrix, an axis of symmetry of (f)x=1/16^2
Answer:
Focus is (0,64)
Step-by-step explanation:
Directrix is y = -64
Axis of Symmetry is x = 0
How to find the GCF 2x-4y+6z
Answer:
inding the Greatest Common Factor (GCF): To find the GCF of two expressions:
Factor each coefficient into primes. Write all variables with exponents in expanded form.
List all factors—matching common factors in a column. ...
Bring down the common factors that all expressions share.
Multiply the factors
Answer:
Step-by-step explanation:
2x = 2*x
4y = 2 *2 *y
6z = 2* 3 * z
GCF = 2
GCF is the greatest common factor. Here 2 is common factor
2x - 4y + 6z = 2*(x - 2y + 3z)
Suppose a poll is taken that shows that 530 out of 1000 randomly selected, independent people believe the rich should pay more taxes than they do. Test the hypothesis that a majority
(more than 50%) believe the rich should pay more taxes than they do. Use a significance level of 0.06.
State the null and alternative hypotheses.
Bob needs 496 inches of border to put around his kitchen walls. if each roll contains 10 ft of border, how many rolls will Bob need?
31. The sum of two consecutive numbers is 45. Find the numbers.
Step-by-step explanation:
U1 + U2 = 45
x + (x + 1) = 45
2x = 45 - 1
2x = 44
x = 44/2
x = 22
U1 = x
U1 = 22
U2 = x + 1
U2 = 22 + 1
U2 = 23
Number = 22 and 23
I need help with this one and don't understand what it is trying to say!
Answer:
A
Step-by-step explanation:
Each colored box cost 0.01
Answer:
A
Step-by-step explanation:
Each colored box cost 0.01
Which of the statements below is true about the range for the following set of
numbers?
20, 15, 50, 85, 75, 60
O The range is 40.
The range is 85.
The range is 70.
The range is 100.
Answer:
C) The range is 70.
Step-by-step explanation:
How to find range:
Subtract the lowest value from the highest value and there's your answer
A. Only A
B. Only B
C. Both
D. Neither
Answer:
A. Only A
Step-by-step explanation:
Lets take a look at Sequence A first. By translating triangle MNO along line segment NB, MNO's top left corner is now on point B, but the shape and orientation have not changed. Then, when we reflect MNO over the vertical line that goes through B, we "flip" MNO onto ABC exactly.
So Sequence A DOES map MNO onto ABC
Now let's take a look at Sequence B to see if it works too. First, we reflect, or "flip" triangle MNO over the vertical line that passes through points M and O. Now MNO and ABC have the same orientation or shape, but aren't in the same location. Next, Sequence B tells us to translate MNO along line segment MB. This puts point M on point B, resulting in the two triangles next to each other and in the same orientation, touching at point B, but not mapped onto one another.
So the answer is choice A: Only A maps MNO onto ABC
