Using Cramer's rule it is found that Dx = -34.
In Cramer's rule, we have three matrices.
x is a matrix in which the first column is the coefficients that multiply x, and the second are the coefficients on the right side of the equality.y is a matrix in which the first column is composed by the coefficients on the right side of the equality and the second is the coefficients that multiply y.M is a matrix in which the first column is the coefficients that multiply x, and the second is the coefficients that multiply y.In this problem, the system is:
[tex]6x - 5y = -4[/tex]
[tex]-7x + 3y = -1[/tex]
Matrix x is given by:
[tex]x = \left[\begin{array}{ccc}6&-4\\-7&-1\\\end{array}\right][/tex]
It's determinant is given by:
[tex]Dx = 6(-1) -(-4)(-7) = -6 - 28 = -34[/tex]
Thus, Dx = -34.
A similar problem is given at https://brainly.com/question/24749091
Solve for x. 3(x−7)=6(x−10) Enter your answer in the box. x =
Answer:
X = 13
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Can someone pls help meee
_________
[tex] \: [/tex]
[tex] \triangle \sf \: abc = \triangle \sf \: xyz[/tex]
Soo :
Ab = Xy Bc = Yz Ca = ZxTriangle in the picture.
Find the value of f(5) for the function f(m) = 1 - 4(m/2) *
Answer:
f(m) = -9
Step-by-step explanation:
We replace m with 5 in the function.
f(m) = 1 - 4(m/2) becomes f(5) = 1 - 4(5/2)
then we solve the numbers in the parenthesis first
= 1 - 4 (5/2)
= 1 - 4 (2.5)
= 1 - 10
= -9
if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.
Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km
Consumption rate = 8L for 100 km
Km per Litre :
8L = 100km
1 L = m
8m = 100
m = (100 ÷ 8)
= 12.5 kilometer per Litre
Number of kilometers for 42 L
12.5 km = 1 L
m = 42 L
Cross multiply
m = 12.5 × 42
m = 525 km
The difference in the distance = 525 - 360 = 165 km
Therefore, the gas can go for a further 165 km
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How many solutions does this equation have?
9p + 5 = 5 + 9p
how do you do this, thanks for helping
Answer:
A: (-7, -4)
B: (-3, 8)
Step-by-step explanation:
Ordered pairs are (x,y).
Count the lines and see:
A is 7 to the left and 4 down so (-7, -4)
B is 3 to the left and 8 up so (-3, 8)
REMEMBER X IS ALWAYS FIRST!!
Does this answer make sense? YES! Because quadrant II all the pairs will be (-#, #) and in quadrant III the pairs will be (-#, -#)
Hope that helps!
Help help help help help help help help help
Answer:
subtract 20 from both sides
Step-by-step explanation:
1. To find the answer, let's actually try solving the equation first and find the 2nd step.
2. (Solving)
Step 1: Distribute 2 to each term.
[tex](2)(x)+(2)(10)=60[/tex] [tex]2x + 20 = 60[/tex]Step 2: Subtract 20 from both sides.
[tex]2x + 20 - 20 = 60 - 20[/tex] [tex]2x = 40[/tex]3. Since we got that the second step was "subtract 20 from both sides," the answer is subtract 20 from both sides.
How do you line graph Y equals 7X -8
Answer:
x
y
0
−
8
8
7
0
Graph the line using the slope and the y-intercept, or the points.
Slope:
7
y-intercept:
(
0
,
−
8
)
Step-by-step explanation:
MARK ME AS BRAINLIEST
What is the factored form of this expression?
4t2 − 27t + 18
A.
(4t − 18)(t − 1)
B.
(4t − 3)(t − 6)
C.
(2t − 9)(2t − 2)
D.
(2t − 6)(2t − 3)
Answer: B. (4t - 3)(t - 6)
Step-by-step explanation:
(4t - 3)(t - 6)
= 4t^2 - 24t - 3t + 18
= 4t^2 - 27t + 18
Answer:
B
Step-by-step explanation:
Sum = -27
Product = 18*4 = 72
Factors = (-24) ; (-3) {(-24)*(-3)=72 & (-24) + (-3) = -27}
4t² -27t + 18 = 4t² - 24t - 3t + (-3)*(-6)
= 4t(t -6) - 3(t - 6)
= (t - 6)(4t - 3)
You are given a card number that says 9 3 4 3 9 4 8 5 3 1 7 3 2 3 6 x. If this is the credit card number what must x be?
Answer:
7
Step-by-step explanation:
it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.
9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x
final number should be divisible by 10.
x=7
Can someone help me please
Step-by-step explanation:
5⁴×5² = 5⁶
10⁶/10³ = 10³
so, we have 5⁶/10³ = 15.625
and in scientific notation we have to write the first digit (which is not 0) in front of the decimal point, and the following digits of the number as pairings after the decimal point, and then indicate a multiplication with a power of 10 to tell us the right position of the decimal point in the plain number.
so, 15.625 as plain number is
1.5625 × 10¹ in scientific notation.
therefore option 1 is correct.
Fill in the missing number. 40% of = 800
Answer:
40% of 800 is 320
Step-by-step explanation:
0.40×800=320
Gavin jarred 6 liters of jam after 2 days. How many days did Gavin spend making jam if he jarred 24 liters of jam?
Answer:
=8
Step-by-step explanation: becuase this inst high school this is like third grade
May I please receive help?
Answer:
m<2 = 94°
Step-by-step explanation:
just have to subtract 132-39=94
PLEASE HELP
Absolute Value Inequalities
In triangle abc ac=8cm, line bm is a median
Answer:
In triangle ABC, centroid D is on the median line segment AM.
Step-by-step explanation:
If AB=13cm,BC =13cm and AC=10cm, calculate: the height BM of the triangle. In triangle ABC, centroid D is on the median line segment AM.
hope i helped
findthe classification schemes of a fungues
Step-by-step explanation:
The five true phyla of fungi are the Chytridiomycota (Chytrids), the Zygomycota (conjugated fungi), the Ascomycota (sac fungi), the Basidiomycota (club fungi) and the recently described Phylum Glomeromycota.
What is the slope of a line perpendicular to the line represented by the equation 2y=-6x+8
Answer:
First we need to solve the linear equation for y because we need to get the slope. Once we have the slope we need to convert it to its negative reciprocal, this means to just change the sign of the slope and flip it. The negative reciprocal is always perpendicular to the original slope.
2y = - 6x + 8
y = (-6x/2) + 8/2
y = - 3x + 4
The current slope is -3 or -3/1
The negative reciprocal is 1/3
Robin Bolton earns a monthly gross salary of 3,280 as a medical assistant she is considering a new position as a medical office manager which would pay 14.90 an hour with time and a half per hour for all 40 per week how many of overtime per week would robin need to work to earn the same amount as her current job
The number of overtime hours Bolton will need at his new position in other to make the same monthly income ls 10 hours per week.
Monthly gross = 3,280 Weekly gross = 3280 / 4 = 820New position :
Pay per hour = 14.90Overtime = 1.5(14.90) = 22.35Let the number of overtime hours required weekly = t
Hence,
(14.90 × 40) + 22.35t = 820
596 + 22.35t = 820
22.35t = 820 - 596
22.35t = 224
t = 224 / 22.35
t = 10
Therefore, he'll need 10 hours of overtime.
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Can someone pls help em brainliest
Answer:
9
Step-by-step explanation:
I've attached a picture, and I hope it's clear and understandable.
Answer: k=9
Step-by-step explanation:
Parallel lines have the same slope. y=mx+b, where m is the slope. The reference line, y = 6x-5 has a slope of 6. The new line must therefore also have a slope of 6. The slope is the Rise/Run, the change in y for a change in x.
The two points on the new line are (10,2k) and (13,4k). Rise over run for this new line is (4k-2k)/(13-10) or 2k/3. This must be equal to 6,
2k/3 = 6
2k = 18
k = 9
Kayla bought 16 bagels. Each bagel cost $1.50. She paid a total of $20. Write an equation to determine how many bagels she bought.
find the area
(not to scale)
Answer: no
Step-by-step explanation: no
Lines AD and BC are parallel. Find the measures
of the three angles in triangle ADE.
A
D
1500
45°
B
F
Answer:
45, 30, & 105
Step-by-step explanation:
<B=<D by alt. interior <s
180-150=30, so <C=30, <C=<A by alt interior <s
30+45=75
180-75=105
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
Is the following inequality true : 4 <_ 4 ?
Answer:
Yes
Step-by-step explanation:
This is true because it is asking you if this is less than or EQUAL TO. 4 = 4, making it true.
PLEASE ANSWER ALL THESE FOR 60 POINTS!!!
Answer:
Step-by-step explanation:
17. ≈ 1.41 + 5 = 6.41
18. ≈ 1.73 × 2.24 = 3.8752
19. ≈ 3.14 × 25 = 78.5
20. ≈ 2.24 × 2.24 = 5.0176
21. ≈ 10 - 2 × 3.14 = 10 - 6.28 = 3.72
22. I’m sorry. I don’t know.
please give me a brainliest answer
WHO WANTS TO SOLVE ANY MATH QUESTION?
Answer:ok
Step-by-step explanation:
ez ez ez ez
High School
Please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please help please please help me please please AND SHOW YOUR WORK
Answer:
Step-by-step explanation:
6) y = 2x² + 6x - 80
1) y = 2*x² + 2*3x - 2*40
y = 2 [ x² + 3x - 40]
2) Sum = 3
Product = -40
Factors = (-5) ; 8 {-5 +8 = 3 ; (-5)*8 = -40}
y = 2 [ x² + 8x - 5x - 40]
= 2 [ x(x + 8) - 5(x + 8) ]
= 2 [ (x +8) (x - 5)]
y = 2(x +8)(x -5)
b) y = 0
2(x + 8)(X - 5) = 0
x + 8 = 0 ; x - 5 = 0
x = -8 ; x = 5
(-8) ; 5 are the zeros.
At what rate is a car traveling, if it goes 157.5 miles in 2.5 hours?
an artist spent 3/5 of an hour painting 1/4 of a mural. how kuch of the mural will be completed in one hour how long will it take to complete one mural
Answer:
2.4hrs or 2hrs 24 minutes
Step-by-step explanation:
3/5 × 4/1 = 12/5
60÷5=12
12×12=144
144÷60=2.4hrs