The graph of the first equation is a dashed line with a slope of -1/2 and a y-intercept of 6. Since point (2,3) satisfies both inequalities, it is included in the solution, the answer is Yes.
Part A:
To graph the system of equations, we first need to rewrite them in slope-intercept form (y = mx + b):
2x + 4y ≤ 24
4y ≤ -2x + 24
y ≤ (-1/2)x + 6
x + y ≤ 27
y ≤ -x + 27
Part B:
The solution to the system of equations is the set of points that satisfy both inequalities. Geometrically, this is the region that is shaded by both lines. The solution represents all the possible combinations of Pokemon and Bakugan cards that Noah can purchase with his $24 while also providing at least 7 friends with a card.
Part C:
Whether the point (2,3) is included in the solution, we substitute x=2 and y=3 into both inequalities and see if the conditions are satisfied.
For the first inequality:
2(2) + 4(3) = 14 ≤ 24, so the condition is satisfied.
For the second inequality:
2 + 3 = 5 ≤ 27, so the condition is also satisfied.
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How many significant figures are in the number
43.6? 43.6 has [?] significant figures.
Answer:
43.6 has 3 significant figures.
For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form. 11) y = 2x² - 16x +27 at (2, 3)
The equation of the tangent line to the function, y = f(x) = 2x² - 16x + 23 at ( 2,3) in slope-intercept form is y = -8x + 19 .
What is Tangent Line?The tangent line to the graph of a differentiable function f(x) at the point x = a, has two important properties:
1. The slope of the tangent line is equals to f'(a).
2. The tangent line will intersect the point (a, f(a)).
We have, y = f(x) = 2x² - 16x + 23
We can write the equation in slope-intercept form y = mx +c, where m represents the slope and c , the y-intercept. The value of f'(2) is equal to m and c may be found by evaluating f(2).
f'(x) = 4x - 16
f'(2) = 4×2 - 16 = - 8
so, m = -8
f(2) = 2(2)²- 16×2 + 27 = 3
Thus, tangent line intersects the point (2, 3) and slop of it is -8.
Now, equation of tangent line is
y = -8x + c --(2)
put x = 2 , y = 3 then, 3 = - 8 × 2 + c
=> c = 19
from equation (1), y = -8x + 19
Therefore, required equation is y = -8x + 19 .
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Your estimated closing cost for your $450,000 home were $11,500, the actual closing cost were 4.5% of
the cost of the home. Were the closing costs higher or lower than the estimate?
The 4.5% of cost of home is $20250 which is higher than the estimated.
What is percentage ?
percentage can be defined as the product of ratio of given value, total value and hundred.
Given,
Your estimated closing cost for your $450,000 home were $11,500,
the actual closing cost were 4.5% of the cost of the home.
So,
the 4.5% of cost of home is
= 4.5% of 450,000
= (4.5 / 100) * 450,000
= 45*450
= 20250
Hence, The 4.5% of cost of home is $20250 which is higher than the estimated.
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5m - 4z + 8m + 3 – 2z
Answer:
13m-6z+3
Step-by-step explanation:
5m-4z+8m+3-2z
5m+8m-4z-2z+3
13m-6z+3
need help
Determine when a simple 2x2 system of linear equations has no solutions.
If m = -5 or m = 3, the system of linear equations has no solution.
To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:
| 3 m |
| m+2 5 |
The determinant is
= (3 x 5) - (m x (m+2))
= 15 - m^2 - 2m
= -(m^2 + 2m - 15)
= -(m+5)(m-3)
So, for the system to have no solution, the determinant must be zero, so we have:
-(m+5)(m-3) = 0
This gives us two values of m: m = -5 and m = 3.
Thus, if m = -5 or m = 3, the system of linear equations has no solution.
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Will give brainliest if correct what is the discriminant of the quadratic equation: (multiple choice)
Ramon earns $1,690 each month and pays $53.60 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
3.1%
Step-by-step explanation:
divide his electricty payment by his monthly pay
Jennifer needs to purchase a computer for her company. The price of the computer is c dollars, and sales tax is 9%. Select all the expressions that represent the total amount she will pay.
Answer:
c(.09)=t
Step-by-step explanation:
let C = the amount of the computer times .09 (sales tax) , t will represent the
the total amount of a computer
hope that helps a bit
Answer:
c
Step-by-step explanation:
Please help! Will Mark brainliest if correct!!
A cone’s height is reduced to 3/8 of its original length, and its radius is tripled. How has the volume of the cone changed?
A. The volume is now 8/27 of its original size.
B. The volume is now 3/8 of its original size.
C. The volume is now 27/8 of its original size.
D. The volume is now 27/3 of its original size.
Answer:
The new volume will be 3 3/8 or maybe 27/8 of its original volume.
Step-by-step explanation:
Cone Volume = PI * radius^2 * height / 3
So if radius = 1 and height = 1 then volume = 1.0472
When radius = 3 and height = .375 then volume = 3.5343
Volume increases by 3.5343 / 1.0472 = 3 and 3/8
Simplify the expression so there is only one positive power for the base, -5.
Answer:
c
Step-by-step explanation:
it's a property of powers, when the base is the same (-5) , you need to
sum the powers when both terms are multiplyng
subtract the powers when both terms are dividing (numerator power minus denominator power, in that order)
I need help on this for real
Answer:
x < 3
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
Gang ima just take them points tbh
Step-by-step explanation:
Find the value of n for which the division of x^2n-1 by x+3 leave remainder of -80.
The value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
To find the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80, we can use polynomial long division. Let's perform the division step by step:
Write the dividend and divisor in polynomial long division format:
_________________________
x + 3 │ x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ...
Divide the leading term of the dividend (x^(2n-1)) by the leading term of the divisor (x). The result is x^(2n-1)/x = x^(2n-2).
Multiply the divisor (x + 3) by the quotient obtained in the previous step (x^(2n-2)). The result is x^(2n-2) * (x + 3) = x^(2n-1) + 3x^(2n-2).
Subtract the result obtained in step 3 from the original dividend:
x^(2n-1) + 0x^(2n-2) + 0x^(2n-3) + ... - (x^(2n-1) + 3x^(2n-2)) = -3x^(2n-2) + 0x^(2n-3) + ...
Bring down the next term of the dividend (which is 0x^(2n-3)) and repeat steps 2-4 until the remainder is constant.
Since we are given that the remainder is -80, we can set the remainder equal to -80 and solve for 'n'.
-3x^(2n-2) + 0x^(2n-3) + ... = -80
Since the remainder is constant (-80), it means that all the terms with x have been canceled out in the division process. Therefore, we can deduce that the highest power of x in the divisor (x + 3) is 0.
This implies that x^(2n-2) = 0, and for any value of 'n', the exponent 2n-2 should be equal to zero. Solving this equation:
2n-2 = 0
2n = 2
n = 1
Therefore, the value of 'n' for which the division of x^(2n-1) by x + 3 leaves a remainder of -80 is n = 1.
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will give brainlisttttt for who first
Answer:
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The length of a rectangle is four times its width. If the perimeter of the rectangle is 180 ft, find its area
The area of the rectangle is 1296 square feet.
Let's denote the width of the rectangle as "w" and its length as "4w" since the length is four times the width.
The formula for the perimeter of a rectangle is given by:
P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Given that the perimeter of the rectangle is 180 ft, we can write the equation as:
180 = 2(4w + w)
Simplifying the equation:
180 = 2(5w)
180 = 10w
w = 18
So, the width of the rectangle is 18 ft.
Now, we can find the length of the rectangle:
Length = 4w = 4(18) = 72 ft
The area of a rectangle is given by the formula:
\(A = l \times w,\)
where A is the area,
l is the length,
and w is the width.
Substituting the values we found:
Area \(= 72 ft \times 18 ft = 1296 ft^2\)
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Fill in the blank to make equivalent rational expressions
Answer:
-42
Step-by-step explanation:
denominator is multiplied by -7, so do the same in numerator
solve for x ~
13x = 169
thankyou~
The result of solving for x in the given equation: 13x = 169 is; x = 13
Solving one variable equationsThe given equation is;
13x = 169.Hence, we must get rid of the coefficient of x by dividing both sides of the equation by 13;
Therefore, x = 169/13
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Carry out the following integrals, counterclockwise, around the indicated contour
For the first integral, z = π/4 is a pole of order 3 and lies inside the contour |z| = 1. Compute the residue:
\(\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = \lim_{z\to\frac\pi4}\frac1{(3-1)!} \frac{d^{3-1}}{dz^{3-1}}\left[e^z\cos(z)\right]\)
We have
\(\dfrac{d^2}{dz^2}[e^z\cos(z)] = -2e^z \sin(z)\)
and so
\(\displaystyle \mathrm{Res}\left(\frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3}, z=\frac\pi4\right) = - \lim_{z\to\frac\pi4} e^z \sin(z) = -\frac{e^{\pi/4}}{\sqrt2}\)
Then by the residue theorem,
\(\displaystyle \int_C \frac{e^z\cos(z)}{\left(z-\frac\pi4\right)^3} \, dz = 2\pi j \left(-\frac{e^{\pi/4}}{\sqrt2}\right) = \boxed{-\sqrt2\,\pi e^{\pi/4} j}\)
For the second integral, z = 2j and z = j/2 are both poles of order 2. The second poles lies inside the rectangle, so just compute the residue there as usual:
\(\displaystyle \mathrm{Res}\left(\frac{\cosh(2z)}{(z-2j)^2\left(z-\frac j2\right)^2}, z=\frac j2\right) = \lim_{z\to\frac j2}\frac1{(2-1)!} \frac{d^{2-1}}{dz^{2-1}}\left[\frac{\cosh(2z)}{(z-2j)^2}\right] = \frac{16\cos(1)-24\sin(1)}{27}j\)
The other pole lies on the rectangle itself, and I'm not so sure how to handle it... You may be able to deform the contour and consider a principal value integral around the pole at z = 2j. The details elude me at the moment, however.
can someone please help me?
Answer:
X=119
Z=28
Step-by-step explanation:
5z-79=61
Solve for x:
A straight line is 180 so...
180-61=119
Solve for z:
5z=61+79
5z=140
Z=140/5
Z=28
Sorry for who ever uploaded the disturbing photos :(
Hope this help and have a nice day!
I’ll continue to report the, as I have all day and will contact Brainly again since this is another account
Here’s a cute dog image to remove the other photo from mind
help with rewriting polynomial in standard form
The polynomial -6x⁵ - 1/8 - x³ in standard form is -6x⁵ - x³ - 1/8
Rewriting the polynomial in standard formFrom the question, we have the following parameters that can be used in our computation:
-6x⁵ - 1/8 - x³
To rewrite polynomial in standard form, we order the powers in decreasing order
Using the above as a guide, we have the following:
-6x⁵ - x³ - 1/8
Hence, the polynomial in standard form is -6x⁵ - x³ - 1/8
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Which is greater: 25% of 15 or 15% of 25? Explain your reasoning using mathematical evidence or visual models
Answer:
15% of 25
Step-by-step explanation:
Given the following questions:
25% of 15
15% of 25
We find the answer by using the formula to calculate percentage for both questions.
Question one:
\(\frac{p\times n}{100}\)
\(\frac{25\times15}{100} =25\times15=375\div100=3.75\)
\(=3.75\)
25% of 15 is 3.75
Question two:
\(\frac{p\times n}{100}\)
\(\frac{15\times 25}{100}=15\times25=375\div100=3.75\)
\(=3.75\)
15% of 25 is 3.75
Finally:
\(3.75=3.75\)
\(15-3.75=11.25\)
\(25-3.75=21.25\)
\(11.25 < 21.25\)
Which means 15% of 25 is "greater than" 25% of 15.
Hope this helps.
answer this fast please!!!!!!!!!!b
Answer:
20
Step-by-step explanation:
reasoning; you can see that all three of them form a 180 angle so you add 125+35 which is 160 then 180- 160 which is 20 that is the answer
hope it helps!
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What is the round trip distance in miles from city 1 to city 3?
15
30
50
70
The round trip distance in miles from city 1 to city 3 is given as follows:
30 miles.
How to obtain the round trip distance?The matrix corresponding to the distances between each of the cities is given by the image presented at the end of the answer.
Looking at row 1, column 3, we have that the distance from city 1 to city 3 is of 15 miles.
For the round trip distance, we have to go back from city 3 to city 1, more 15 miles, hence the distance is given as follows:
2 x 15 = 30 miles.
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Please help, thanks!
Multiplying Monomials and Binomials
The dimensions of a rectangle
are x + 3 and x + 2. Which
expression represents the
area of the rectangle?
a) x2 + 6
b) x2 + 5x + 6
c) x² +6x + 6
d) x² + 6x
Answer:
A) x2+6
Step-by-step explanation:
which of the following is not one of the strengths of quantitative forecasting methods? group of answer choices
Option C, One of the weaknesses of quantitative forecasting approaches is the time-series forecast.
Whenever there is no previous data available, businesses utilize qualitative forecasting to predict a certain financial outcome. This method depends on people with knowledge or skill on the potential outcomes. For accurate results, these specialists should draw from trustworthy sources and have relevant expertise.
Making business forecasts using precise figures is known as quantitative forecasting.
Qualitative forecast examples include,
executive judgmentsDelphi ApproachEstimates/opinions of the sales forceConsumer pollsGroup ConversationsTime-series prediction is an illustration of a quantitative forecasting approach, hence the answer c is the one that is right.
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The question is -
Which of the following is not a qualitative forecast?
A. Executive opinions
B. Sales force opinions
C. Time-series forecast
D. All of the above
A Jar contains 125 marbles. Given 3% of the marbles are green, 9% of the marbles are blue, and the rest are red, how many red marbles are in the jar? There are red marbles in the jar?
Answer:
111 red balls
Step-by-step explanation:
125×0.03= 3.75 3balls
125×0.09=11.25 11balls
125-3-11=111
111 is red
1. A rational number divided by an integer is always __?
2. True or false? Every rational number is either a natural number or an integer.
Answer:
1. Rational
2. False
Step-by-step explanation:
1. You will always get a rational number when you add, subtract, multiply, or divide rational numbers.
2. All whole numbers, integers, and natural numbers are rationals, but not all rational numbers are integers, natural numbers, or whole numbers.
Hope it helps!
PLEASE HELP!!!!!!!!!!!!
Answer:
b
Step-by-step explanation:
Pls answer report if wrong
Answer:
III
Step-by-step explanation:
It is expanded by an uneven scale factor.
ax+bx=c, solve for x
Answer:
x = c/(a + b)
Step-by-step explanation:
Step 1: Write equation
ax + bx = c
Step 2: Factor
x(a + b) = c
Step 3: Divide
x = c/(a + b)
Answer:
x=c/(a+b)
Step-by-step explanation:
ax+bx=c
x(a+b)=c
x=c/(a+b)