PLZZ HELPPP
Which matrix equation can be used to solve the system?
x+y=21
5x+4y=20
Answers
Answer:
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Step-by-step explanation:
Given the simultaneous equation
x+y=21
5x+4y=20
To write in matrix form, it must be in the form AX= b
X = A⁻¹b
A⁻¹ is the inverse of matrix A
A is a 2by2 matrix
X is the variables
b is a column matrix
The expression will therefore be written as;
[tex]A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\[/tex]
Hence the required product matrix that represent X is;
[tex]X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\[/tex]
Related Questions
What are the domain and range of the function?
Answers
Answer: Domain: (-inf,inf) Range; [-4,inf)
Step-by-step explanation: Domain is x values possible and range is y values possible. Quadratics always have a domain of (-inf,inf) and the range starts from -4 going up infinitely. and if -4 is included then we use a bracket therefore, [-4,inf). Also, infinity always has a parenthesis.
A stationer fixes an equal rate of profit in his each item . If he sells a calculator costing Rs 700 for Rs 756 , how much should a customer pay for a novel book costing Rs 450 ?
Answers
Answer:
The customer should pay RS 506 for a novel book costing RS 450.
Step-by-step explanation:
We are given that
Selling price of calculator, S.P=RS 756
Cost of calculator, C.P=RS 700
We have to find S.P of novel book when the cost of novel book RS 450.
Profit=S.P-C.P
Profit=756-700
Profit=RS 56
Profit of each item is equal.
Therefore, profit for novel book=RS 56
C.P of novel book=RS 450
S.P=C.P+ Profit
Using the formula
S.P=450+56
S.P=RS 506
Hence, the customer should pay RS 506 for a novel book costing RS 450.
Please help me lovee<3
Answers
the measures of the angles of a triangle are shown in the figure. solve for x
Answers
Answer:
10
Step-by-step explanation:
First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180
90+27+6x+3=180
Add up left side
120+6x=180
Subtract 120 from both sides
6x=60
Divide both sides by 6
x=10
Which statement is true regarding the graphed functions?
Answers
Answer:
f(2) = 0 and g(2) = 0
f(2) = g(2) TRUE
b) f(0) = 2 and g(0) = -2
f(0) = g(0) FALSE
c) f(2) = 0 and g(0) = -2
f(2) = g(0) FALSE
d) f(0) = 2 and g(2) = 0
f(0) = g(2) FALSE
Explain in your own words why it takes more to prove quadrilaterals congruent. Include examples demonstrating how ""just angles"" or ""just sides"" is not enough.
Answers
Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Meaning of Congruent quadrilateralsA quadrilateral can be defined as a polygon shape that possesses four sides.
Congruent quadrilaterals are those quadrilaterals that are similar in sides and angles.
For example, a parallelogram needs to be proved by both the sides and the angles
In conclusion, Proving that quadrilaterals are congruent takes more because all quadrilaterals are polygons of four sides and they all have a sum angle of 360°
Learn more about Congruent quadrilaterals: https://brainly.com/question/224113
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Using the following image, find GH given HI = 1 and GI =
= 9.
Answers
Answer:
8
Step-by-step explanation:
Answer:
[tex]{ \tt{GH =GI - HI }} \\ = 9 - 1 \\ GH = 8[/tex]
What are biofertilisiers
Answers
Answer:
Step-by-step explanation:
biofertilizers are fertilizers consist of micro-organisms that will help plant growth. they are different from traditional fertilizers which consist of chemicals
Answer:
Any fertilizers involving living organisms, or the products obtained from living organisms can be referred to as biofertilizer, although nowadays, the term is generally used for living organisms used for fertilizer purpose.
Step-by-step explanation:
Hope this helps
4. The expression (3x –8)(2x+5)-(x+1)(2x+5) can be written as the product of 2x+5
with what other binomial?
(1) 4x-7
(3) 2x-7
(2) 2x-9
(4) 4x-9
Answers
Answer:
option 3 : (2x - 7 )
Step-by-step explanation:
ax + bx = x(a+ b)
a(x+ y) + b(x+y) = (x+y)(a+b)
[tex](3x - 8 ) ( 2x + 5) - (x + 1)(2x + 5)\\\\(2x+5)[ (3x - 8) - (x+1) ][/tex] [ (2x + 5) is common is both terms ]
[tex](2x+ 5)(3x -8 -x + 1)\\\\(2x+ 5)(2x - 7)[/tex]
Therefore , the binomial is ( 2x - 7)
How many quarters are there in 5 3/4?
Answers
Answer:
One quarter= 1/4
5 3/4= 23/4
Number of quarters in 5 3/4= 23/4 divided by 1/4
23/4 ÷ 1/4
= 23/4 × 4
=23
I hope this helps!
Answer:
23
Step-by-step explanation:
5x4 + 3
5 x 4 = 20
20 + 3 (3 Is the fraction part)
a)Convert 7.5 cm into m b) convert 2 m into mm c) Convert 5 m into cm d) convert mg into 9 e)Convert 1.5 mg into kg f)convert 1 day into sec g)Convert 5 hour into sec
Answers
Answer:
0.075 metre
2000 mm
500 cm
0.001 gram
1.5 × 10-6 kilogram
86400 second
18000 second
Step-by-step explanation:
hope it helps
Answer:
a) 0.075 m
b) 2000 mm
c) 500 cm
d) ?
e) 0.0015 kg
f) 86400 seconds
g) 18000 seconds
120 to 150 find the percentage of increase
Answers
Answer:
25%
Step-by-step explanation:
increase by = 150 - 120
=30
increase percent = 30/120 * 100%
=3000/120
=25 %
Answer:
25%
Step-by-step explanation:
Percentage increase=(new value-original value)/(original value) x 100%
Percentage increase=(150-120)/120 x 100%
Percentage increase=30/120 x 100%
Percentage increase=1/4 x 100%
Percentage increase=25%
Jada walks dogs to earn money. The points in this graph represent the total amount of money Jada earns based on the number of hours she walks dogs. Jada wants to purchase a new jacket that costs $32.
How many hours does Jada need to walk dogs to earn enough money to buy the jacket?
6 hours
7 hours
8 hours
9 hours
Answers
Answer:
8 hours
Step-by-step explanation:
In 4 hours she earns 16 dollars
Since this is proportional ( goes through zero), we can multiply by 2
8 hours = 32 dollars
Jada needs to walk the dog for, 8 hours.
4x8 = 32
Violet bought 2 yards of fabric. She will use it to make new pillow covers. How many inches of fabric did Violet get?
Answers
Answer:
24 inches
Step-by-step explanation:
2 yards to inches :
2 x 12 = 24
If my answer is incorrect, pls correct me!
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-Chetan K
Answer:
72 inches
Step-by-step explanation:
1 yard = 3 feet
1 foot = 12 inches
1 yard = 3(12) inches or 36"
∴ 2 yards = 72 inches
If y=2x+5, then determine the value of y if x=4.
Answers
2 plus 4 is 6 and 6 plus 5 is 11.
What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?
Answers
Answer:
[tex]x=-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0).
Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.
Vertical lines have their equations organized differently: [tex]x=d[/tex] where d is the x-intercept, or the value of x when y is 0.
Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation [tex]x=d[/tex]:
[tex]x=-3[/tex]
I hope this helps!
If the cos of an angle is .75, what is the csc?
A. 1/√(5)
B. 9/√(6)
C. 6/√(2)
D. 3/√(9)
E. 4/√(7)
F. 2/√(3)
Answers
Answer: Choice E. 4/sqrt(7)
This is the same as writing [tex]\frac{4}{\sqrt{7}}[/tex]
=================================================
Explanation:
0.75 = 3/4
Recall that cosine is the ratio of adjacent over hypotenuse.
That means if cos(theta) = 3/4, then the adjacent is 3 units and the hypotenuse is 4 units.
Through the pythagorean theorem, we would then find that
a^2+b^2 = c^2
a = sqrt(c^2 - b^2)
a = sqrt(4^2 - 3^2)
a = sqrt(7)
This is the opposite side of reference angle theta.
From here, we can say
csc(angle) = hypotenuse/opposite
csc(theta) = 4/sqrt(7)
which points to choice E as the final answer.
Answer the following
Answers
Answer:
Step-by-step explanation:
For what values of x is the expression below defined?
x +3 + x1 - x
O A. 35xs1
O B. 3 > XS-1
O C. 3 >x>1
O D. -3 sx< 1
Answers
Answer:
D. - 3 ≤ x < 1
Step-by-step explanation:
The numerator cannot be the square root of a neg. no.
So, x + 3 ≥ 0 or x ≥ -3
The denominator cannot be a neg. no. or 0.
So, 1 - x > 0
1 > x or x < 1
So, altogether - 3 ≤ x < 1
Therefore, D is the correct answer.
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what value of x makes this preportion true? (2.12.3) (15 points)
Answers
Answer:
A
Step-by-step explanation:
Given
[tex]\frac{x}{6}[/tex] = [tex]\frac{36}{24}[/tex] ( cross- multiply )
24x = 216 ( divide both sides by 24 )
x = 9 → A
Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8 Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.
Answers
Responder:
m = 7; n = - 3
Explicação passo a passo:
Dada a equação:
m − 3n = 16m + 5n = −8
Resolvendo a equação:
m − 3n = 16 - - - (1)
m + 5n = - 8 - - - (2)
Subtraia 1 de 2
m - m - 3n - 5n = 16 - - 8
-3n - 5n = 16 + 8
-8n = 24
n = 24 / - 8
n = - 3
Coloque n = - 3 em (1)
m − 3n = 16
m - 3 (-3) = 16
m + 9 = 16
m = 16 - 9
m = 7
The diagram shows a rectangle PQRS.
PQ = 14 cm and QR = 9 cm.
The point A lies on PS so that PA = 5 cm.
The point Blies on SR so that BR = 8 cm.
Answers
Answer:
a) The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is approximately 14.866 centimeters.
Step-by-step explanation:
a) The procedure consist in subtracting the areas of triangles APQ, ASB and BRQ of the area the rectangle, that is to say:
[tex]A = (9\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (5\,cm)\cdot (14\,cm) - \frac{1}{2}\cdot (8\,cm)\cdot (9\,cm) -\frac{1}{2}\cdot (4\,cm) \cdot (6\,cm)[/tex]
[tex]A = 43\,cm^{2}[/tex]
The area of the triangle AQB is 43 square centimeters.
b) The length of the line segment AQ is determined by Pythagorean Theorem:
[tex]AQ = \sqrt{AP^{2}+PQ^{2}}[/tex] (1)
[tex]AQ = \sqrt{(5\,cm)^{2}+(14\,cm)^{2}}[/tex]
[tex]AQ \approx 14.866\,cm[/tex]
The length of the line segment AQ is approximately 14.866 centimeters.
Question 7 of 27
Which of the following is an element in the sample space for first rolling a
number cube and then tossing a coin?
Answers
Answer:
TH is an element on the sample space for first rolling a die and then tossing a coin. A coin has both heads and tails.
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
The elements can be any of the elements in the sample space.
What is sample space?It is the total number of possible outcomes from a given set.
We have,
The sample space for rolling a number cube and then tossing a coin consists of all possible outcomes from rolling the number cube and tossing the coin.
Each outcome is a pair consisting of a number from 1 to 6 (the possible outcome from rolling the number cube) and a head or tail (the possible outcome from tossing the coin).
Therefore, an element in the sample space can be represented as an ordered pair (n, h/t), where n is the number rolled on the number cube and h/t is the outcome of the coin toss (either head or tail).
So,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
For example, (3, H), (6, T), (1, H), and (4, T) are all elements in the sample space.
Thus,
The sample space for rolling a number cube and then tossing a coin is:
{(1, H), (1, T), (2, H), (2, T), (3, H), (3, T), (4, H), (4, T), (5, H), (5, T), (6, H), (6, T)}
Learn more about sample space here:
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if x4 + 1/x4 = 4 find the value of x2+1/x2
Answers
Answer:
Hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
Step-by-step explanation:
I think its 2
Show √7 , √5 on a number line.
please hurry up my cissy and oppa
Answers
Answer:
Draw the number line like in the picture.
Step-by-step explanation:
√5 is about 2.236, meaning it's kind of close to 2.25.
√7 is about 2.646, meaning it's very close to 2.625.
Name the identical triangles and measurement of side BA
Answers
Step-by-step explanation:
BE/BC=BD/BA
tHE TWO SIMILAR TRIANGLES ARE BED AND BC. tHE PROPORTION ABOVE REPRESENTS USE OF THE TWO SIMILAR TRIANGLES.
4/(4 + 10) = 5/(5+X) Cross Multiply
4(5+x) = 5(4+10)m
20 +4x=20 +50 subtract 20 from both sides
4x = 50 divide by 4
x =12.5
Find the value of x. Around the length to the nearest tenth.
Answers
Answer:
x = 6 m
Step-by-step explanation:
x = 16sin22°
x = 6.0 m
Answer:
Step-by-step explanation:
12 points!! Please help out if you can! Means so much!!
Answers
Answer:
(2w+2)(w+8) ≤ 100
Step-by-step explanation:
Solve -2x + 6 = -20. -7 -13 7 13
Answers
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
Can someone help me? It's urgent and thank you!
Answers
Answer:
6 percent
Step-by-step explanation:
None
