Answers
Answer:
[tex]\boxed {\boxed {\sf (4,3) \ is \ not \ a \ solution}}[/tex]
Step-by-step explanation:
If we want to test a solution, we can plug it into the equations and see if it checks out.
We are given the point (4,3). Since points are written (x,y)...
x=4 y=3Substitute the values into the first equation.
[tex]11x+9y=17 \\11(4)+9(3)=17[/tex]
Multiply.
[tex]44+ 27=17\\[/tex]
Add.
[tex]71 \neq 71[/tex]
This does not check out, so we automatically know this point doesn't work. However, we can check the other equation.
[tex]x+y=7 \\4+3=7\\7=7[/tex]
Even though the second equation works, BOTH have to work because this is a system of equations. Therefore, (4,3) is not a solution.
Related Questions
What is the domain of the function y= x+6 -7?
O X>-7
0 x>-6
O X>6
O X>7
Answers
Answer:
x>-6
Step-by-step explanation:
please mark me as brainliest answer
In the figure shown, the measures of all angles are equal, and AB = EF.
What type of transformation appears to map ABC onto EFG?
A. reflection
B. translation
C. rotation
D. none of the above
Answers
Answer:
your answer will be C. rotation
Step-by-step explanation:
hope it helps...
have a great day!
The type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
What is ASA congruency?If corresponding two angles and one corresponding side of two triangles are of same measurement, then the considered pair of triangles are congruent.
For this case, both the triangles ABC and EFG satisfy the ASA congruency. Thus, they are congruent. Congruent triangle means they are just same, but might be placed different or rotated.
For this case, for making ABC look like EFG, we need to rotate it, and will have to move it too(which is called translation).
Thus, the type of transformation appears to map ABC onto EFG is given by: Option B: Translation and Option C: Rotation
For some cases, we may ignore translation and just call them transformed rotationally, because usually two triangles will be placed different. But in literal sense, these two transformation will be needed for sure.
Learn more about rotation of triangles here:
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Which situation is best modeled with a division expression?
the total cost of 4 pints of strawberries that sell for $3 each the cost per pint of 3 pints of blueberries if the total cost was $6
the cost per pint of raspberries after applying a $1 coupon if the normal price was $3 each
the total cost of a pint of blackberries that sells for $3 and a pint of cherries that sells for $4
Answers
Answer:
B: the cost per pint of 3 pints of blueberries if the total cost is $6
Step-by-step explanation:
A is using multiplication
C is using addition and multiplication
D is using multiplication and addition.
Therefore, B would be your answer.
Hope this helps! :)
Answer:
Its B
Step-by-step explanation:
I got 100 on quiz
write these in order of size starting
with smallest in
7m 750 cm 0.7m 77cm
Answers
Answer:
it's 0.7m, 77cm , 7m , 750 cm . hope I helped you .
if the cost of 8 boxes is rupees 243.20 the cost of one box
Answers
Answer:
30.4
Step-by-step explanation:
8 boxes = 243.20
find 1 boxes
= 243.20 ÷ 8
= 30.40 / 30.4
Given the following information: P(A) = 0.62 P(B) = 0.25 P(A and B) = 0.12 P(B given A) = 0.19 What is the probability of A or B? Round your answer to the nearest hundredth as needed. P(A or B) =
Answers
Answer:
P(A or B) = 0.75
Step-by-step explanation:
For Venn probabilities, we have that:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
In which [tex]P(A \cup B)[/tex] is P(A or B).
We have that:
[tex]P(A) = 0.62, P(B) = 0.25, P(A \cap B) = 0.12[/tex]
So
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.62 + 0.25 - 0.12 = 0.75[/tex]
P(A or B) = 0.75
What is the mid point of the segment shown below (1,2) (1,-5)
Answers
Answer:
(1, -3/2)
Step-by-step explanation:
Answer:
(1, -3/2)
Step-by-step explanation:
[1 + 1)/2, 2 + (-5)/2] = (2/2), (-3/2)
The residents of a city voted on whether to raise property taxes. The ratio of yes votes 3 to no votes was 5 to . If there were 2247 yes votes, what was the total number of votes?
Answers
Answer:
Total number of votes = 5,992
Step-by-step explanation:
Given:
Ratio of Yes and No = 3:5
Total number of yes votes = 2,247
Find:
Total number of votes
Computation:
Total number of votes = Total number of yes votes [(3+5)/3]
Total number of votes = 2,247[(8)/3]
Total number of votes = 5,992
I need help the area of the triangle is 24 square feet. Hat is the lengths of the base
Answers
Answer:
The answer is B the base is 16 feet
to find the base of a triangle the formula is b=2[tex]\frac{A\\}{h}[/tex]
hope this helps
When Lucas first opened his bank account, he deposited x amount of
money in there. The second week, he deposited the same amount of
money in his bank account. Two weeks later, he wrote a check for $116
and ended up having -$6 in his balance. How much money did Lucas
deposit when he first opened his account?
Answers
Answer:
55
Step-by-step explanation:
Lucas went to the bank the first time with $55 and the second time with $55, when you add those togeother you get $110. Then he wrote a check for $116 and ended up having -$6...basically if you have $110 in all then you write a check for $116 you would have -$6 in your balance. 110-116 = -6
For the following indefinite integral, find the full power series centered at x=0 and then give the first 5 nonzero terms of the power series.
f(x)=∫x9cos(x3) dx
Answers
Answer:
a. [tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(2n)!} + C_1[/tex]
b. [tex]\displaystyle P_5(x) = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationIntegration
IntegralsIndefinite IntegralsIntegration Constant CIntegration Rule [Reverse Power Rule]: [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]
Sequences
Series
MacLaurin Polynomials
MacLaurin Polynomial: [tex]\displaystyle P_n(x) = \frac{f(0)}{0!} + \frac{f'(0)}{1!}x + \frac{f''(0)}{2!}x^2 + \frac{f'''(0)}{3!}x^3 + \cdots + \frac{f^n(0)}{n!}x^n + \cdots[/tex]MacLaurin Series: [tex]\displaystyle P(x) = \sum^{\infty}_{n = 0} \frac{f^n(0)}{n!}x^n[/tex]Power Series
Power Series of Elementary FunctionsMacLaurin PolynomialsTaylor PolynomialsIntegration of Power Series:
[tex]\displaystyle f(x) = \sum^{\infty}_{n = 0} a_n(x - c)^n[/tex] [tex]\displaystyle \int {f(x)} \, dx = \sum^{\infty}_{n = 0} \frac{a_n(x - c)^{n + 1}}{n + 1} + C_1[/tex]Step-by-step explanation:
*Note:
You could derive the Taylor Series for cos(x) using Taylor polynomials differentiation but usually you have to memorize it.
We are given and are trying to find the power series:
[tex]\displaystyle f(x) = \int {x^9cos(x^3)} \, dx[/tex]
We know that the power series for cos(x) is:
[tex]\displaystyle cos(x) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{2n}}{(2n)!}[/tex]
To find the power series for cos(x³), substitute in x = x³:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n (x^3)^{2n}}{(2n)!}[/tex]
Simplifying it, we have:
[tex]\displaystyle cos(x^3) = \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}[/tex]
Rewrite the original function:
[tex]\displaystyle f(x) = \int {x^9 \sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n}}{(2n)!}} \, dx[/tex]
Rewrite the integrand by including the x⁹ in the power series:
[tex]\displaystyle f(x) = \int {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 9}}{(2n)!}} \, dx[/tex]
Integrating the power series, we have:
[tex]\displaystyle f(x) = {\sum^{\infty}_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1[/tex]
To find the first 5 nonzero terms of the power series, we simply expand it as a MacLaurin polynomial:
[tex]\displaystyle P_5(x) = {\sum^4_{n = 0} \frac{(-1)^n x^{6n + 10}}{(6n + 10)(2n)!}} + C_1 = \frac{x^{10}}{10} - \frac{x^{16}}{16 \cdot 2!} + \frac{x^{22}}{22 \cdot 4!} - \frac{x^{28}}{28 \cdot 6!} + \frac{x^{34}}{34 \cdot 8!} + C_1[/tex]
Topic: AP Calculus BC (Calculus I + II)
Unit: Power Series
Book: College Calculus 10e
HELPPPP MEEE PLEEASSEEEE !!!
Answers
Answer:
67°
Step-by-step explanation:
Angle 67° and that at H are corresponding this are equal.
Therefore 67+46=113°
180-113=67 as the answer
if the probability of passing a driving test is 0.9,what is the probability of failing the driving test
Answers
Answer:
0.1
Step-by-step explanation:
Lol hi again . hope this helped you
Help
need answer asap, correct answer gets brainliest.
Answers
Answer:
(x+3,y+4)
Step-by-step explanation:
mskdidikffjcycufbr
Solve the equation using the quadratic formula.
y2-8y + 17 = 0
The solution set is
Answers
Step-by-step explanation:
Formula is:
x=(-b± √b^2-4ac)/2a
a= 1
b= -8
c= 17
x= (-(-8)±√64-4(1)(17))/2
x= (8±√-4)/2
now
x1= (8+√-4)/2
x2=(8-√-4)/2
BRAINLIEST FOR THE ANSWER
Answers
Answer:
A
Step-by-step explanation:
14/8-11/8=3/8
Answer:
a
Step-by-step explanation:
1 3/4 =1 6/8 so 3/8 plus 3/8 is 6/8
PLEASE HELP
!!NO LINKS!!
!! ANSWERS ONLY!!
Answers
Answer:
Step-by-step explanation:
because you know that the exponent is 20 and that is n*t... and you can see that n= 2 in the equation
you know it's been collecting interest for 10 years
Otis measured the heights of several sunflowers. He found that their heights were 4, 6, 7, 9, and 9 feet Otis found that the mean was 7 feet and the range was 5 feet Which numbers describe the center and spread of this data set? A. 4 feet describes the center, and 9 feet describes the spread. , B. 7 feet describes the center, and 5 feet describes the spread C. 9 feet describes the center, and 4 feet describes the spread D. 5 feet describes the center, and 7 feet describes the spread.
Answers
Answer:
B) 7 feet is the median (center) and 5 is the range (spread)
Step-by-step explanation:
spread is the difference between the largest and smallest numbers in the data set (9 - 4 = 5 in this case)
1. Complete the empty cells in the table below with the correct values. sin theta= sqrt 2/2
Answers
Using trigonometric function concepts, it is found that:
The angle is of 45 degrees, or [tex]\frac{\pi}{4}[/tex] radians.[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex][tex]\csc{\theta} = \sqrt{2}[/tex][tex]\sec{\theta} = \sqrt{2}[/tex][tex]\cot{\theta} = 1[/tex]From the sine, we have that:
[tex]\sin{\theta} = \frac{\sqrt{2}}{2}[/tex]
Then:
[tex]\sin^{-1}{\sin{\theta}} = \sin^{-1}{\frac{\sqrt{2}}{2}}[/tex]
[tex]\theta = \frac{\pi}{4}[/tex]
Since pi radians is 180º, this angle is of 180/4 = 45 degrees.
From the tangent:
[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]
[tex]1 = \frac{\frac{\sqrt{2}}{2}}{\cos{\theta}}[/tex]
[tex]\cos{\theta} = \frac{\sqrt{2}}{2}[/tex]
[tex]\cot{\theta} = \frac{1}{\tan{\theta}}[/tex]
[tex]\cot{\theta} = 1[/tex]
For the cosecant and secant:
[tex]\csc{\theta} = \frac{1}{\sin{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \frac{1}{\cos{\theta}} = \frac{1}{\frac{\sqrt{2}}{2}} = \frac{2}{\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}} = \sqrt{2}[/tex]
[tex]\csc{\theta} = \sqrt{2}[/tex]
[tex]\sec{\theta} = \sqrt{2}[/tex]
To learn more about trigonometric functions, you can take a look at https://brainly.com/question/18055768
Use a graphing calculator for the following problem. If using a Casio fx-9750GII, follow the steps outlined in the Lesson to determine the linear, quadratic, or exponential equation that best models the data. For a linear model, round the slope and y-intercept to the nearest integer. For a quadratic model, round the coefficients to the nearest integer. For an exponential model, round ato the nearest integer and b to the nearest tenth.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5
Answers
The function is an exponential function and the function is, y = 100[tex]e^{-0.5x}[/tex].
What is an exponential function?Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.
Given:
We have the table.
Elapsed Time Amount
1 58
2 34
3 20
4 14
5 7
6 4
7 2.5.
We have drawn a graph from the points.
And the graph is given in the attached image.
Then the exponential function,
y = 100[tex]e^{-0.5x}[/tex].
Therefore, the function is y = 100[tex]e^{-0.5x}[/tex].
To learn more about the exponential;
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(20 POINTS) The graph of f(x)= |x| is translated 2 units to the left and then horizontally stretched by a factor of 2. Determine the equation of the final graph.
Answers
Answer:
g(x) = Ix/2 + 1I
Step-by-step explanation:
First, let's describe the transformations in a general way.
Horizontal translation.
For a function f(x) a horizontal translation of N units is written as:
g(x) = f(x + N)
if N is positive, the translation is to the left.
If N is negative, the translation is to the right.
Horizontal stretch.
For a function f(x) a horizontal stretch of scale factor k is written as:
g(x) = f(x/k)
Then if we have the function f(x) = IxI
First we do a translation of 2 units to the left, then we have N = 2
The transformation is:
g(x) = f(x + 2)
Now we do a horizontal stretch by a factor of 2.
g(x) = f( (x + 2)/2=
g(x) = f( x/2 + 1) = Ix/2 + 1I
The equation of the final graph is:
g(x) = Ix/2 + 1I
Consuelo paid $16.72 for an item which was discounted
24%. What was the price of the item before it was
discounted?
.
Answers
1/4x - 8=4. I am not understanding this question can someone help me plssss.
Answers
Answer:
48
Step-by-step explanation:
Answer: 48
Step-by-step explanation:
How many unique roots are possible in a seventh-degree polynomial
function?
O A. 7
OB. 4
O C. 6
O D.5
Answers
Answer:
A. 7
Step-by-step explanation:
No.of unique roots are possible in a seventh-degree polynomial is 7
State fundamental theorem of AlgebraA polynomial of degree n can have at most n real roots. The Degree of Polynomial with one variable is largest power of that variable.For example, 3x^2+4x+2 = 0 have two roots since the equation degree 2.A real number p is a zero of a polynomial f(x),f(p) = 0.
Since seventh degree polynomial has degree 7, number of roots in a seventh-degree polynomial is 7.
Therefore, the number of unique roots are possible in a seventh-degree polynomial is 7.
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Help please, again, sorry I’m struggling
Answers
Answer:
7 feet
Step-by-step explanation:
Answer:
A. 4ft
Step-by-step explanation:
It would be four feet because since the opening is 3ft and the length is 5ft, it would be 4ft because the length is going to be close to the height which would also be the same with the opening. The opening is always a little shorter than the top of the tent meaning this would be 4ft.
HURRYYYYYYYYY
What is the domain of the function y=x?
-00
0
0
0
1
Answers
Answer:
All real numbers
Step-by-step explanation:
The domain of the function is the set of real values that can be substituted into a function to produce a valid output. Any real number can be substituted into the function (y = x), and produce a valid output. Thus, the domain is all real numbers.
the area of the base is 34 cm2 the height is 7cm what is the volume
Answers
Answer:
[tex]238cm^3[/tex]
Step-by-step explanation:
The equation for volume is length x width x height
The equation for area is length x width
Since the area of the base is known, we can substitute that into the volume equation
base x height
34 x 7 = 238 cm^3
The Marching Band ordered 14 pizzas for a party. Each pizza had 6 slices. Juan ate 7 of the slices. How many slices were left for the rest of the band?
Answers
Answer:
77 slices
Step-by-step explanation:
Given
[tex]Pizza=14[/tex]
[tex]Slice = 6[/tex] per pizza
[tex]Juan = 7\ slices[/tex]
Required
Determine the slices left
First, calculate the slices in 14 pizzas.
[tex]Total = 14 * 6[/tex]
[tex]Total = 84[/tex]
Subtract the amount eaten by Juan, to get the remaining.
[tex]Remaining = Total - Juan[/tex]
[tex]Remaining = 84 - 7[/tex]
[tex]Remaining = 77[/tex]
Can anyone help me it would mean the world to me if u helped and tysm! <3 to the people to helped me! <3
Answers
Answer:
The area is 266
Step-by-step explanation:
If the length is 19 and the width is 5 less then the width is 14. To calculate the area you need to multiply the area by the length. So the answer is 266
What is the value of x?
Answers
Answer:
x = 27
Step-by-step explanation:
Based on the angle bisector theorem, we would have the following:
(x + 8)/10 = (2x - 5)/14
Cross multiply
14(x + 8) = 10(2x - 5)
14x + 112 = 20x - 50
Collect like terms
14x - 20x = -112 - 50
-6x = -162
Divide both sides by -6
-6x/-6 = -162/-6
x = 27