Rewrite the system of equations in matrix form.
[tex]\begin{bmatrix}1&2&-2\\3&7&-1\\2&4&m\end{bmatrix} \mathbf x = \mathbf b[/tex]
This system has a unique solution [tex]\mathbf x = \mathbf A^{-1}\mathbf b[/tex] so long as the inverse of the coefficient matrix [tex]\mathbf A[/tex] exists. This is the case if the determinant is not zero.
We have
[tex]\det(\mathbf A) = m+4[/tex]
so the inverse, and hence a unique solution to the system of equations, exists as long as m ≠ -4.
You charge $1625 on your credit card that adds 8.2% intere don't make any payments, what will your balance be after 4 years compounded continuously?"
Answer:$2227.22
Step-by-step explanation: I answered your question in your comment. If its not right report it please.
Please help me :)
What is the solution to this system of equations?
Answer:
The answer is D
Step-by-step explanation:
Plug in the values and see which one is correct.
This is a glucose molecule. How many hydrogen atoms are in a molecule of glucose? A) 10. B) 11. C) 12. D) 13
Answer:
12 for sure
Step-by-step explanation:
I just know
Find all factors of 27.
Answer:
all the factors of 27 is 1, 3 ,9,and 27
This morning, Megan and her dad had smoothies for breakfast. Megan made her smoothie with 1 cup of mango and 3 cups of strawberries. Her dad made a giant smoothie with 2 cups of mango and 6 cups of strawberries. Did the smoothies have the same ratio of mango to strawberries?
Answer:
Yes.
Step-by-step explanation:
Please find the correct answer will give high points, mark brainliest, give 4 stars, and hearts. PLS
The perimeter of a triangle is 71 cm. If the longest side of the triangle is 8 cm longer than five times the shortest side and the third side is 7 cm less than four times the shortest side. How long is the longest side of the triangle?
Answer:
43 cm
Step-by-step explanation:
If the longest side of the triangle is 8 cm longer than five times the shortest side
5s + 8
the third side is 7 cm less than four times the shortest side
4s - 7
The perimeter of a triangle is 71 cm
s + (4s - 7) + (5s + 8) = 71
Combine like terms
10s + 1 = 71
Subtract 1 from both sides
10s = 70
divide both sides by 10
s = 7
---------------------------------
How long is the longest side of the triangle
5s + 8
5(7) + 8
35 + 8
43
Which table of ordered pairs represents a proportional relationship?
CS
Х
-2
-4
-6
у
4
16
36
х
-4
-6
-8
y
-8
-12
-18
Х
-3
-5
-7
y
5
3
1
X
-3
6
_9
у
12
24
36
Answer: A 2-column table with 3 rows.
Step-by-step explanation:
after how many years will £6,000.00 yield a simple interest of £900.00 at 3%
Answer:
add 1 Century to divide £6 000 000
Answer:
the answer to your question is 105 I think sorry if it's not
Use your work from above to find the sum of 501+502+503+…+800
Answer:
Step-by-step explanation:
Gauss n(n+1)/2
which is n? the last number of the sum
500(500 + 1)/2 = 125,250
800(800+1)/2 = 320,400
uh oh forgot to read the last one, give me a minute. done
(800 - 501 + 1)(800 + 501)/2
300(1301)/2 = 195,150
or
320,400 - 125,250 = 195,150
A 6-pack of ice cream sandwiches costs $3.86. What is the unit price, rounded to the nearest cent?
Answer: so either .64 or , .66,
Step-by-step explanation:
divide 3.86 by 6
Use the figure below to find the values of x and y
Answer:
x=68 and y = 112
Step-by-step explanation:
angles of a triangle must equal 180, so
52°+60°+x°=180
112+x=180 <-- subtract 112 to get x on one side.
x=68
To solve for y, a straight line = 180 so
68+y=180 --> just subtract 180-68
y=112
a ratio is a comparison between two or more numbers or quantities
a. True
b. False
Which of the functions below have period pie check all that apply
WHAT IS THE EQUATION IN SLOPE INTERCEPT FORM FOT THE LINE THAT PASSES THROUGH THE POINTS (2,-2) AND (-3,-17)
Answer:
y = 3x - 8
Step-by-step explanation:
to find slope the equation (y2 - y1) / (x2 - x1) is used
this means change of y over change of x
[-17 - (-2)] / (-3 - 2)
(-17 + 2) / -5
-15 / -5 = 3
the slope is 3
to find slope intercept form you must find the y intercept
using y = 3x + b and plugging things in we can find it
we can plug in the first point
-2 = 2(3) + b
b is your y intercept
-2 = 6 + b
b = -8
Answer:
y = 3/1x - 8
steps:
(2,-2) (-3, -17)
x1. y1. x2. y2
y2-y1
x2-x1
-17 - -2 = -15. = 3
-3-2. -5. 1
(2,-2)
y= mx + b
-2 = 3/1(2) + b
-2 = 6 + b
-6 -6
-8 = b
y = 3/1x - 8
A store is having a sale where movies are 15% off their original price a movie is on sale for 22.10$ what was the original price of the movie
Answer:
The answer is $26
Step-by-step explanation:
So, the price after the sale was $22.10 and to find the original price you have to divide the price by 1- the discount. So, I did $22.10/ 1-0.15. Then, I got $22.10/0.85 and then I divided them by each other and got $26.
An arrow is shot vertically upward from a platform 45 feet high at a rate of
132 ft/sec. Use the quadratic function h(t)=−16t2+132t+45 to find how long it will take the arrow to reach its maximum height, and then find the maximum height. Round to the nearest tenth.
Answer:
486 feet will reached after 5.25 seconds, when rounded to nearest tenth would be 5.3
Step-by-step explanation:
Which equation represents the data in the table shown?
A) y = -2x
B) y = 2x + 3
C) y = -2x + 3
D) y = -2x - 3
Answer:
C
Step-by-step explanation:
the y-axis is getting smaller by 2 so its -2 and the x-axis is getting bigger by 1 so its -2 times 1 which is -2 but then 0=3 so the equation would be y = -2 + 3 :)
A 6 sided die is rolled 2 times. What is the probability of getting a 1 both times ?
Answer:
Step-by-step explanation: If you roll the die twice, the probability of getting a even number both times is (1/2)(1/2) ... A probability experiment consists of rolling a 6 sided die
What is the algebraic expression for the following word phrase: "the product of x and the sum of 2 and y"?
Answer:
x(2+y)
Step-by-step explanation:
sum of 2 and y=2+y
product of x=x times expression
:. Answer =x(2+y)
This the right one click it so you can get it right
Answer:
The one highlighted yellow is the correct option
6 liters is to 72 km as 50 liters is to x km
Maria finds a local gym that advertises 44 training sessions for $1393. Find the cost of 136 training sessions.
Answer:
$4305.60
Step-by-step explanation:
1393 divided by 44 = 31.6590909
that's how much for one training session
so to find the pay for 136 sessions you need to do 31.6590909 x 136
which is 4305.63636
if you round that, you get $4305.60
In your own words what does pi 7 mean if it’s right I’ll give you brainliest
Answer:
10
Step-by-step explanation:
A
Triangle ABC is right-angled at A, and AD is the altitude from A to the hypotenuse BC.
Find x
Answer:
Step-by-step explanation:
5 x 6:30
Which of the following is equal to the expression below
(8 - 32014
A 40
B. 30
C 835
D. 1035
Answer:
C 835Which of the following is equal to the expression below
please help!
15 - (-20)
Find the GFC of 72 and 64
Answer:
8
Step-by-step explanation:
GCF of 64 and 72 is 8.
I hope it helps you..
6-4x=12+2x
Solve for x
Triangle ABC has coordinates A(-2, -3), B(1, 1), and C(2, -1). If the triangle is translated 1 unit right and 3 units up, what are the coordinates of A'?
Answer:
answeris: C.(-6,-9)➡(6-9)
Can somebody please help this is honestly due tomorrow
Answer:
I am almost completely sure its 4.
Step-by-step explanation:
I dont mind brainiests by the way