The inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
Inverse of a matrixFor a 2 by 2 matrix, the inverse is generally expressed as:
[tex]\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] ^{-1}=\frac{1}{ad-bc}\left[\begin{array}{ccc}d&-b\\-c&a\\\end{array}\right][/tex]
Since the given matrix is a square matrix and 2 by 2, therefore it will have an inverse.
Determine the determinant
|A| = 5(5) - 2(12)
|A| = 25 - 24
|A| = 1
Substitute the values into the formula above
[tex]\left[\begin{array}{ccc}5&12\\2&5\\\end{array}\right] ^{-1}=(1)\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
Hence the inverse of the function is [tex]\left[\begin{array}{ccc}5&-12\\-2&5\\\end{array}\right][/tex]
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Write the equation in Point-Slope Form given the Slope is 5 and passes through the Point (-2, 10).
Answer:
y-10=5(x+2)
Step-by-step explanation:
y-y1=m(x-x1)
y-10=5(x-(-2))
y-10=5(x+2)
Answer:
y - 10 = 5(x + 2)Step-by-step explanation:
The Point-Slope form of equation of a line with slope of "m" and passing through point (x₁, y₁) is: y - y₁ = m(x - x₁)
m = 5
x₁ = -2
y₁ = 10
Therefore the equation:
y - 10 = 5(x + 2)Solve. (x-4)²=5
PLEASE HELP
Answer:
A
Step-by-step explanation:
(x-4)^2=5
(x-4)(x-4)=5
x(x-4)-4(x-4)=5
distribute
x^2-4x-4x+16=5
combine like terms
x^2-8x+16=5
move terms to the left and combine
x^2-8x+11=0
use the quadratic formula and simplify
x=-(-8)+/-2 to the square roots of 5 over 2
separate and solve
x=4+ square root of 5
x=4- square root of 5
ANSWER: x=4+/- square root of 5
Solve
2/3 feet = _____ inches
Answer:
8 Inches
Step-by-step explanation:
multiply the length value by 4
20 POINTS * A circle has a radius of 6. An arc in this circle has a central angle of 48°
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for it and enter your answer as a decimal.
Answer:
[tex] \frac{8\pi}{5}[/tex]
Step-by-step explanation:
Since this is a degree we going to use the arc length formula
[tex]2\pi \times( r)( \frac{x}{360)} [/tex]
where x is the central angle measure and r is the radius.
The radius is 6 and the central angle is 48 so let plug that in the formula
[tex]2\pi \times (6)( \frac{48}{360} )[/tex]
Multiply 2 pi by 6
[tex]12\pi \times ( \frac{48}{360} )[/tex]
[tex]12\pi \times \frac{4}{30} [/tex]
[tex] \frac{12\pi}{1} \times \frac{4}{30} = \frac{48\pi}{30} [/tex]
[tex] \frac{8\pi}{5} [/tex]
How do you write 133/50 as a percentage?
Answer:
266%
Step-by-step explanation:
133/50 =
2 33/50 =
266 %
Hope that helps!
Answer:
lol 266%
Step-by-step explanation:
hope this helps!
Mr. Hamstra’s car holds 14/25 gallons of gas and averages 20 miles per gallon. About how far can Mr. Hamstra travel when his tank is 14 full?
I WILL GIBE BRAINLEST
Liz created this table to show the ratio of red pencils to green pencils in her box. Identify the ratios that are equivalent to the ratio of red pencils to green pencils in Liz’s table. Red Pencils Green Pencils 2 6 4 12 6 18 8 24
Answer:
2:6
Step-by-step explanation:
I honestly don't know at all if this is correct or if I even get the question but what I did to get 2:6 was- for the reds which was 2, 4, 6, 8 it was +2 and for green which was 6, 12, 12, 24 was +6 which in the end gave me 2:6
Solve for y: y+6=5(x-4)
Answer:
Step-by-step explanation:
y+ 6= 5(x-4)
y + 6= 5x-20
-6 . -6
----------------
y= 5x-26
What is the value of the expression 9+n/3-6 when n is 12?
Answer:
7
9+12/3-6
12/3=4
9+4-6
9+4=13
13-6=(7)
Step-by-step explanation:
A store manager combines 2 lb of trail mix that contains some cashew nuts with 30 lb
of trail mix that is 20% cashews. The result is a trail mix that is 25% cashews. What is the concentration of cashews in the first mixture?
Answer:
100%
Step-by-step explanation:
Let p = percent of cashews in first mix
2p = lb. of cashews in first mix
30(.20) = 6 = lb. of cashews in second mix
32(.25) = 8 = lb. of cashews in the combined mix
So,
lb. of cashews in first mix + lb. of cashews in second mix = lb. of cashews in the combined mix
2p + 6 = 8
2p = 2
p = 1 = 100%
Answer:
100%
Step-by-step explanation:
I solved it and it was correct lol
How many solutions does the equation 3(x + 2) - 10 = 4x - 6+ xhave? A infinitely many solutions B two solutions one solution D no solution
Answer:
Step-by-step explanation:
3(x+2) -10 = 4x + 6 +x
3x +6 -10 = 5x+6
-10 = 2x
x = -5
One solution
NEED HELP WHAT IS THE SLOPE!!
Answer:2/3
Step-by-step explanation:
Slope is 2/3
Gaste el 60% de lo que no gasté: del resto perdí el 40% de lo que no perdí. De lo que me quedaba no ahorré 50% más de lo que ahorré. Si lo que ahorré es de S/. 70: ¿Cuánto tenia al principio?
5 5
2 t-shirts and 3 hats costs £12.
5 t-shirts and 4 hats costs £23.
Find the cost of a t-shirt.
Find the cost of a hat.
Step-by-step explanation:
Suppose the cost of each t-shirt is x
and the cost of each hat is y
according to question
[tex]\Rightarrow 2x+3y=12\quad \ldots(i)\\\Rightarrow 5x+4y=23\quad \ldots(ii)\\\text{solving (i) and (ii) we get}[/tex]
[tex]x=3\ \text{and}\ y=2[/tex]
So, the cost of a t-shirt is £3
the cost of a hat is £2
What two methods are the best choices to factor this express
4x2 - 26x + 30
Factor by grouping.
Factor out the GCF.
o Use the difference of squares rule.
Use the perfect square trinomial rule.
Correct method to factor this expression are:
Factor by grouping.
Factor out the GCF.
What is factorization?A number or other mathematical object is factorised or factored in mathematics by expressing it as the product of numerous factors, often smaller or simpler things of the same sort. The four primary methods of factoring are the Grouping technique, the Difference in Two Squares, the Sum or Difference in Cubes, and the Greatest Common Factor (GCF). Numerous issues might be resolved by using the factoring of integers. Similar to this, factoring is an extremely effective method in algebra that is utilised at all levels. It offers a common approach to simplifying complex statements as well as, of course, solving quadratic equations.
The equation becomes:
= 4x² - 26x + 30
= 2 (2x² - 13x + 15)
= 2 (2x² - 10x - 3x + 15)
= 2 {2x (x - 5) - 3 (x - 5)}
= 2 (2x - 3) (x - 5)
Thus, the two methods are the best choices to factor this express are:
Factor by grouping.
Factor out the GCF.
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y=x+5
4x+y=20
show work
Answer:
(3,8)
Step-by-step explanation:
Step-by-step explanation:
put value of y in equation 2
4x + (x + 5) =20
open the brackets
5x + 5 = 20
5x = 20 - 5
5x = 15
x = 15/3
x = 5
putting value of x in y we get
y = 10
GOOD LUCK FOR THE FUTURE! :)
in parallelogram ABCD, AB= x, BC= x+y, CD= y-x and AD= 15. solve for x and y
Answer:
I think 29
I don't know if it's right
plsssss help its easy!!!!!
(one question)
wrong answer for points=banned
Answer:
First that's a quiz. Lol
Step-by-step explanation:
It is the 2'nd answer.
Your Welcome.
okay so the problem is "A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is ( ) units. the point (-7, ) lies kn this circle. I'm not sure how to find the answer.
Answer:
A circle is centered at the point (-3,2) and passes through the point (1,5). The radius of the circle is (5 ) units. the point (-7, -1) and point (-7, 5) lies in this circle.
Step-by-step explanation:
equation of circle is
(X-center_X)^2 + (y-center_Y)^2 = r^2
==> (x+3)^2 + (y-2)^2 = r^2
Now it passes 1,5 so
4^2+3^2 = 5^2
==> r = 5
when x = -7
y = -1 or 5
PLS HELP AND FAST!!! also it needs to be simplified!!
Answer:
I think it's B because the bigger numbers stay the same an u subtract the smaller numbers
Which of the following best represents the dependent quantities in the graph below?
A. 2, 20, 4, 40
B. 2, 4, 6, 8
C. 20, 40, 60, 80
D. 10, 20, 30, 40, 50
Answer:
C
Step-by-step explanation:
Dependent quantity = y-value
Record: 0/5 Score: 0 Penalty: 1 off
Complete: 0%
Jereme Nixon
Using Trig to Find Angles
Mar 01, 12:19:51 PM
?.
In AQRS, the measure of ZS=90°, QR = 7.7 feet, and SQ = 6.5 feet. Find the measure
of ZR to the nearest tenth of a degree.
R
7.7
Answer:
Step-by-step explanation:
57.6
Joni sold 376 tickets for the school play. Student tickets cost $4 and adult tickets cost $7. Joni’s sales totaled $2080.
Which system of equations below will determine then number of adult tickets, a, and the number of student tickets, s, that Joni sold?
Answer:
(4s+7a) 376=2080
Step-by-step explanation:
(4s+7a) 376=2080
Solve problem using substitution
a = 3b + 1
5b - 2a = 1
Use trigonometry to work out the size of angle x. Hypotenuse= 10cm, Adjacent= 9cm
9514 1404 393
Answer:
25.8°
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig relations in a right triangle.
Cos = Adjacent/Hypotenuse
cos(x) = (9 cm)/(10 cm) = 0.9
Using the inverse cosine function, we can find the angle given its cosine.
x = arccos(0.9) ≈ 25.8°
Angle x is about 25.8°.
In ΔJKL, the measure of ∠L=90°, KL = 11 feet, and JK = 32 feet. Find the measure of ∠J to the nearest tenth of a degree.
Answer: J = 20.1
Step-by-step explanation:
sin J = hypotenuse/opposite = 11/32
Sin J =11/32
J=sin-1(11/32)
J= 20.1055
helppppp pleaseeeee im giving 15 for this ;^;
im in dire need for multiple questions. this is 2/5
Answer:
C
Step-by-step explanation:
when it asks for the zeroes its asking for when the equation passes the x=0 and it passes x=0 at (0,-3) and (0,1) so the answer is c
hope this helps (:
i need help
38 = 15 + n
Answer:
n=23
Step-by-step explanation:
38=15+n
step 1 subtract each side by 15
23=n
n is equal to 23
hope this helps :)
Answer:
n=23
Step-by-step explanation:
38-15=23 you gotta subtract
What is .05866 as a fraction?
.05866 as a fraction is 2933 / 50000
Explanation: Convert to a mixed number by placing the numbers to the right of the decimal over 100000. Then reduce the fraction.
combine these radicals -12√12-2√3
-50√3
-22√3
-26√3
-10√12
Answer:
[tex] - 26 \sqrt{3} [/tex]
I'm sure about the answer.