Answers
Answer:
Step-by-step explanation:
I used Cramer's Rule to find y, since we can isolate and solve for individual variables using Cramer's Rule. Do that by finding the determinant of the matrix, |A|. The matrix A looks like this:
2 -2 1
-1 3 2
1 -4 -3
and we find the determinant of a 3x3 by expanding it. Do that by picking up the first 2 columns and throw them on at the end, like this:
2 -2 1 2 -2
-1 3 2 -1 3
1 -4 -3 1 -4
and find the determinant by multiplying along the 3 major axes and subtract from that the product of the 3 minor axes:
[(2*3*-3)+(-2*2*1)+(1*-1*-4)] - [(1*3*1)+(-4*2*2)+(-3*-1*-2)] which simplifies to
-18 - (-19) = 1
So the determinant of the matrix A is |A| = 1.
Now to find the determinant of Ay, we replace the y column with the solutions and so the same thing by expansion and then multiplying and subtracting:
2 -7 1 2 -7
-1 0 2 -1 0
1 1 -3 1 1
and find the determinant of y:
[(2*0*-3)+(-7*2*1)+(1*-1*1)] - [(1*0*1)+(1*2*2)+(-3*-1*-7)] which simplifies to
-15 - (-17) = 2
So the detminant of y is |Ay| = 2
We can solve for the variable now by dividing Ay by A:
2 / 1 = 2
So the solution for y = 2
Related Questions
if A=13 and B=10, find C. Pythagorean theorem.
Answers
Answer:
C = √269
C ≈ 16.4
Step-by-step explanation:
Use the Pythagorean Theorem to solve for 'c'.
[tex]a^2+b^2=c^2[/tex]
We are given:
'a' = 13
'b' = 10
Replace the variables with the appropriate values and solve for 'c':
[tex]13^2+10^2=c^2\\\rightarrow 13^2=169\\\rightarrow 10^2=100\\169+100=c^2\\269=c^2\\\sqrt{269}=\sqrt{c^2}\\\boxed {16.40122... = c}[/tex]
16.4012195 ≈ 16.4
C is about 16.4.
The length of a rectangle is 4 units shorter than half the width. If the length of the rectangle is 18 units, which equation can
be used to find w, the width of the rectangle?
Answers
Answer:
The width is 11 units.
Step-by-step explanation:
First, you have to add 4 to 18 which is 22. Then divide by 2.
what is the value of x +when x=3?
Answers
Answer:
when x = 3, x would equal 3 since x can be substituted as 3, aka chancge any xes into 3 if they give you yhat info
Step-by-step explanation:
Answer:
x=3
will still remain as the same
so you answer is x=3
Find the average rate of change of the function defined by the following table X -2,2,6,10 Y -5,35,75,115
Answers
Answer:
The slope is 10 (y =10x +15)
Step-by-step explanation:
When using two coordinates to find the slope of a linear function, I choose (-2,-5) and (2,35) *but you can choose any two.
The formula for finding the slope is y-y divided by x-x.
so... (35)-(-5)=40 NOTE: I did 35 minus -5 but you can also do -5 minus 35.
2-(-2)=4 But just remember to do it the same order for
subtracting the x coordinates.
40/4=10
holp 4h+j, where h=−4 and j=−2
Answers
Answer:
-18
Step-by-step explanation:
We are given the expression:
4h+j
We are also given h= -4 and j= -2. Therefore, we can substitute -4 in for h and -2 in for j.
4(-4)+-2
4(-4)-2
Solve according to PEMDAS
Multiply 4 and -4
-16-2
Subtract 2 from -16
-18
Answer: 4(-4)+(-2)=-18
Step-by-step explanation:
Express the ratio below in its simplest form. 6 : 2 : 6
Answers
Answer:
Step-by-step explanation:
6:2:6=3:6=3/6=(1*3)/(2*3)=1/2
These tables of values represent continuous functions. For whichfunction
will the y-values be the greatest for very large values of x?
PLEASE HELP!!!
Answers
I think it's B because it contains the highest numbers
Answer:
D
Step-by-step explanation:
The answer is D because every time x increase by 1, the y is tripling. Making it so that as x gets larger and larger, the y will become the larger than the other choices.
another due for tomorrow help please
Answers
Answer:
189 cm²
Step-by-step explanation:
A= bh
h=9 , b=21
21×9=189 cm²
Mark me brainliest
12 less than a number y
Answers
Answer: y- 12
Step-by-step explanation:
12 is less than y so is like 12 being subtracted from y.
What type of scatterplots are they ?
(Left to right)
1 .
2.
3.
Answers
Answer:
1. positive
2. negative
3. null
Step-by-step explanation:
I looked up "all types of scatterplots and looked at which ones were on the screen
preform the operation indicated 3x^2(2x^2-5x+1)
Answers
Answer:
6x^4 -15x^3 + 3x^2
Step-by-step explanation:
What we want to do here is to multiply what is outside the bracket with what is inside
That would be;
3x^2(2x^2 -5x + 1)
= 3x^2(2x^2) -5x(3x^2) + 1(3x^2)
Opening the brackets, we have;
6x^4 -15x^3 + 3x^2
please help quick !!!
Answers
Answer:
(-x + 3)/4 = 12
Step-by-step explanation:
By doing the workingout for this expression you will get the same solution.
For what value of the variable will
b
the value of 3−5c be 1 less than the value of 1−c?
Answers
Answer:
c = 3/4
Step-by-step explanation:
Lets set up an equation.
You can get
3-5c + 1 = 1-c to show that it is one less.
now we can solve it.
So by combining like terms, we get:
4-5c = 1-c
that then becomes:
3-5c = -c
--> 3 = 4c
--> c = 3/4
Answer:
c=3/4
Step-by-step explanation:
I do RSM :)
Please answer correctly !!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
Let's take each one of those answers and test it against the graph.
"Greater app price always relates to greater profit."
***As you can see, this is not true. Although the profit does increase up to a point as the app price increases, look at the profit at an app price of $4 and an app price of $11. The profit from a $4 app is about $30 million and the profit from the $11 app is about $24 million.
"Greater app price relates to greater profit as long as the app's price is more than about $7."
***As we just saw in the above statement, this is not true.
"The largest possible profits the company can make is 7 million dollars."
***The highest profit is where the highest point on the graph is. While the APP price is $7 at this highest point, the profit there is about 39 million dollars. So the largest possible profit is not 7 million, the largest profit corresponds to an app price of $7 with a profit of 39 million.
"The largest possible profit the company can make is about 40 million dollars."
***From above, we know that this is true.
The only true statement is the last one.
Which table represents a linear function?
Answers
Answer:
its A i just took the quiz
hope i helped!
Step-by-step explanation:
The size of a TV set is described by the length of a diagonal of the screen. One TV is labeled as size 70cm. The screen is 40cm high.
What is the width of the screen?
Draw a diagram to illustrate your answer.
Answers
Answer:
Width of screen =57.44 cm
Step-by-step explanation:
Please refer to the attached image:
The TV screen is usually in the form of a rectangle.
The diagonal of the TV is termed as the screen size.
Size is given to be 70 cm
Height = 40 cm
As per the attached image:
BC = 40 cm
BD = 70 cm
Pythagoras theorem is given as:
[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Height}^{2}[/tex]
Using pythagoras theorem in [tex]\triangle BDC[/tex]:
[tex]BD^{2}= BC^{2}+ CD^{2}[/tex]
[tex]70^{2}= 40^{2}+ CD^{2}\\\Rightarrow CD^{2} =4900 - 1600\\\Rightarrow CD^{2} =3300\\\Rightarrow CD =57.44 cm[/tex]
Hence, width of screen, CD =57.44 cm
A shop is having a sale.all items are reduced by 25%. Work out the sale price of an item normally priced at £90 ?
Answers
Answer:
E67.5
Step-by-step explanation:
when we calculate 27%of E90 it result in 22.5then we subtract E22.5 from E90 which is equal to E67.5(WILL GIVE BRIANLIEST)
Please Help!
Question:
What is the solution set for the equation below?
(Look a the image, and the multiple choices are there)
Answers
Answer:
option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Step-by-step explanation:
The given Quadratic equation is:
[tex]3x^{2} -x-4=0[/tex]
Let us try to make factors:
[tex]3x^{2} -x-4=0[/tex]
Here, [tex]-x[/tex] can be written as [tex]-4x + 3x[/tex] (Look at the coefficient of [tex]x^{2}[/tex] and constant part i.e. 3 and 4). So, the quadratic equation becomes:
[tex]\Rightarrow 3x^{2} -4x+3x-4=0\\\text{Taking x common from }3x^{2} -4x \text{ and 1 common from }3x+4:\\\Rightarrow x(3x-4)+1(3x-4)=0\\\Rightarrow (x+1)(3x-4)=0\\\Rightarrow (x+1) =0\ or\ (3x-4) = 0\\\Rightarrow x =-1\ or\ x = \dfrac{4}{3}[/tex]
So, solution set for the equation [tex]3x^{2} -x-4=0[/tex] is:
[tex]\{-1,\dfrac{4}{3}\}[/tex]
Hence, option (c) [tex]\{-1,\dfrac{4}{3}\}[/tex] is the correct answer.
Tina has 10 packages of yarn to knit a scarf. She uses 1/3 package of yarn for each inch of length she adds to the scarf. If Tina uses all the yarn, how long will her scarf be?
Answers
Answer:
30 inches
Step-by-step explanation:
She has 10 packages of yarn.
She uses 1/3 package of yarn for each inch of the scarf.
Therefore, 1 package of yarn will be 3 times each inch:
3 * 1 = 3 inches
1 package of yarn goes for 3 inches of scarf.
Therefore, 10 packages will go for:
10 * 3 = 30 inches
In the figure above circles with centre o and o' are externally tangent at P. I f OA= 5 is a tangent to circle centre o', the area of rectangle oklm is Brainly
Answers
Answer:
give me points pls
Step-by-step explanation:
convert the polar representation of this complex number into its standard form z=4(cos150+isin150).
Answer Choices:
A) (-2, 2√3)
B) (-2√3, 2)
C) (-2√3, -2)
D) (-4, 4√3)
Answers
Answer:
B
Step-by-step explanation:
Using the exact values
cos150° = - cos30° = - [tex]\frac{\sqrt{3} }{2}[/tex]
sin150° = sin30° = [tex]\frac{1}{2}[/tex]
Given
z = 4(cos150° + isin150° ) , substitute values
= 4(- [tex]\frac{\sqrt{3} }{2}[/tex] + [tex]\frac{1}{2}[/tex]i )
= - 2[tex]\sqrt{3}[/tex] + 2i , that is
(- 2[tex]\sqrt{3}[/tex], 2 ) → B
An acute triangle has sides measuring 10 cm and 16 cm. The length of the third side is unknown.
Which best describes the range of possible values for the third side of the triangle?
< 12.5, x > 18.9
12.5 < x < 18.9
x < 6, X > 26
6
26
Answers
Answer:
I'm not sure but I think the second one. 12.5 < x < 18.9
Step-by-step explanation:
Answer:
B. 12.5 < x < 18.9
Step-by-step explanation:
on edge
what’s the answer of this and how do you get it?
Answers
Answer: the area of the star is 1.94in squared
Step-by-step explanation: One part of the quarter circle has a radius of 1.5 inches because 3 inches is the height of the square.
So the diameter of 4 of the quarters would be 3 inches because 4 quarters of a circle would make a full circle with a diameter of 3. The area of a full circle with the diameter of 3 is 7.06. The area of the square is 9 because 3x3 is 9. 9 minus 7.06 leaves 1.94 in area left in the square. :) 1.94 is rounded also
Step-by-step explanation:
PRIMERO ENCONTRAMOS EL ÁREA DE UNO DE LOS
SEGMENTOS DE C´RCLO SUPONIENDO QUE EL RADIO
ES IGOAL A LA MITAD DEL LADO DEL CUADRO
A = [tex](1.5 in)^{2}[/tex] - 3.14[tex]/1.5 in)^{2}[/tex]/4 = [tex]0.49 in^{2}[/tex]
LUEGO SE MULTIPLICA POR 4
[tex]1.96 m^{2}[/tex]
SE ENCUENTRA EL ÁREA DEL CUADRADO
A = [tex]3 in ^{2}[/tex] = [tex]9 in^{2}[/tex]
FINÁLMENTE SE ENCUENTRA EL ÁREA DE LA ESTRELLA
A = [tex]9 in^{2}[/tex] - [tex]1.96 in^{2}[/tex] = [tex]7.04 in^{2}[/tex]
How to find the length when the perimeter and width is given
Answers
Answer:
Step-by-step explanation:
Step 1:Width x 2
Step 2:Perimeter — step 1
Step 3:Step 2 divided by 2
There are 4 green marbles, 5 red marbles, and 6 blue marbles in a bag. Find the probability of drawing a red marble, replacing it back in the bag, and then drawing a second red marble *
Answers
Answer:
1/9
Step-by-step explanation:
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P(red)= number of red/ total = 5/15 = 1/3
Put it back in the bag
4 green marbles, 5 red marbles, and 6 blue marbles in a bag = 15 marbles
P (red)= number of red/ total = 5/15 = 1/3
P(red, replace, red) = P(red) * P(red) = 1/3*1/3 = 1/9
Mi cuaderno tenía originariamente 40 páginas, pero he usado 2/5 y he arrancado 1/8¿cuantas páginas quedan disponibles? ¿Qué fracción del total representan?
Answers
Answer:
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes es 19/40
Step-by-step explanation:
El número total de páginas en el cuaderno = 40
Número de páginas utilizadas = 2/5 × 40 = 16 páginas
Número de páginas extraídas = 1/8 × 40 = 5 páginas
Número de páginas disponibles = 40 - 16 - 5 = 19 páginas
Fracción del total restante = 19/40
La fracción del total de páginas iniciales del cuaderno que representan las páginas disponibles restantes = 19/40.
Simplify 19 – 1.67 + (–2.4)
Answers
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = P : P equals StartFraction I Over r t EndFraction.. Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
Answers
Work Shown:
i = 20 = interest we want to earn
r = 0.05 = decimal form of the annual interest rate
t = 5 = number of years
P = i/(r*t)
P = 20/(0.05*5)
P = 80
Answer:
80
Step-by-step explanation:
i got it right
Kurt's truck uses 12 gallons of gas to travel 156 miles. He has 6 gallons in the tank. How much more gas will he need to drive 351 miles?
Answers
Answer:
it will be 27 gallons
Step-by-step explanation:
if we take the gallons number is x
then x=[tex]\frac{351*12}{156}[/tex]
What is m∠BCD? A. 82 degrees B 168 degrees C. 192 degrees D. 220 degrees
Answers
Answer:
m∠BCD = 82°
Option A
Step-by-step explanation:
The opposite angles of quadrilateral inscribed in a circle are supplementary.
i.e m∠A +m∠C = 180°
or, m∠BAD + m∠BCD= 180°
or, 98° + m∠BCD = 180°
or, m∠BCD = 180°-98°
or,m∠BCD = 82°
Answer: A - 82
Step-by-step explanation:
180 - 98 = 82
took the test and got it right.
