Given the system of equations, what is the value of the system determinant?
2x + y = 8
x - y = 10
0-1
0-2
0-3
Given:
The system of equation is
[tex]2x+y=8[/tex]
[tex]x-y=10[/tex]
To find:
The value of the system determinant.
Solution:
If two equations of a system of equations are [tex]a_1x+b_1y=c_1[/tex] and [tex]a_2x+b_2y=c_2[/tex], then the system determinant is
[tex]D=\left|\begin{matrix}a_1&b_1\\a_2&b_2\end{matrix}\right|[/tex]
[tex]D=a_1b_2-b_1a_2[/tex]
The given two equations are [tex]2x+y=8[/tex] and [tex]x-y=10[/tex].
Here, [tex]a_1=2,b_1=1,c_1=8, a_2=1,b_2=-1,c_2=10[/tex].
[tex]D=\left|\begin{matrix}2&1\\1&-1\end{matrix}\right|[/tex]
[tex]D=(2)(-1)-(1)(1)[/tex]
[tex]D=-2-1[/tex]
[tex]D=-3[/tex]
The value of the system determinant is -3. Therefore, the correct option is C.
Answer:
-3
Step-by-step explanation:
2x+-3=8
x-3=10
please help!!
55% of students say chocolate is their favorite ice cream flavor. If 88 students said chocolate is their favorite ice cream flavor, how many total students were surveyed?
Answer:
160
Step-by-step explanation:
total = 100%
we know,
55 % of total = 88
or, 55/100 * total = 88
so total = 160
I REALLY NEED THIS... PLEASEEE...
Solve the system by substitution.
y= 4x+22
y= −7x
Answer:
x= -2
x= 14
Step-by-step explanation:
Hope this is useful! have a wonderful night or day, God bless you!
Plzzzzzzz helppp i will give brainliest if right
Answer:
1.) 20 square inches
2.) 4.16
3.) (-1, -5) (2, -5)
Step-by-step explanation:
Plz hurry will mark brainlyest.
Answer:62
Step-by-step explanation:
Please help me , at least do one and explain it please .
9514 1404 393
Answer:
113.0 cm²2464.0 in²95.0 ft²Step-by-step explanation:
1. The area of a circle is given by the formula ...
A = πr² . . . . . where r is the radius
The radius is shown as 6 cm, so the area is ...
A = (3.14)(6 cm)² = 113.0 cm²
__
2. The radius is shown as 28 in. We note that this is a number divisible by 7, so we choose 22/7 for π.
A = (22/7)(28 in)² = 2464 in² . . . . see comment
__
3. The radius is half the diameter, so is 11/2 = 5.5 ft. Then the area is ...
A = (3.14)(5.5 ft)² = 95.0 ft²
_____
Additional comment
If you use a more exact value of π for problem 2, the area is 2463.0 in². If you use 3.14 as the value of π, the area rounds to 2461.8 in². For these values of pi (3.14 or 22/7), the answer is only good to about 3 significant digits. 2464 has more significant digits, so digits beyond the first 3 may be in error.
Caroline owns 3 fewer T shirts than chase. Let k Represent the number of chase’s T shirt. What expression can be used? A. 3k B. 3-k C. K+3
D. K-3 Real quick please!
Answer:
D
Step-by-step explanation:
Hope this helps
1.5+4=2.3−1.2 in decimal form
Answer:
5.5=1.1
Step-by-step explanation:
hope this helps:)
-2/8, -0.2, -3/7 from least to greatest???
Answer:
-3/7, -2/8, -0.2
Step-by-step explanation:
-0.2 = -1/5
We have -3/7, -2/8 and -1/5
For positive b and d:
a/b < c/d if and only if a*d < c*b
-3/7 < -2/8 if and only if -3*8 < -2*7; obviously true
-2/8 < -1/5 if and only if -2*5 < -1*8; -10 < -8; true
so we get -3/7 < -2/8 < -0.2
Find the equation of the line.
Use exact numbers.
Answer:
y = 2/3x+4
Step-by-step explanation:
HELPPPPPPPPPP
The point (-10,4) is on the graph of which of these functions? Select ALL that apply.
===========================================================
Explanation:
We'll plug x = -10 into each equation shown. If we get y = 4 as an output, then it is one of the answers.
------------------------------
A)
y = -x^2 + 6
y = -(-10)^2 + 6
y = -100 + 6
y = -94
We don't get y = 4, so we cross choice A off the list.
The point (-10,4) is not on y = -x^2+6. Instead, the point (-10,-94) is.
------------------------------
B)
y = (-1/2)*x - 1
y = (-1/2)*(-10) - 1
y = 5 - 1
y = 4
We can see that x = -10 leads to y = 4. The point (x,y) = (-10,4) is on the line. Choice B is one of the answers.
------------------------------
C)
y = (-1/10)*x - 3
y = (-1/10)*(-10) - 3
y = 1 - 3
y = -2
Choice C is not one of the answers since we want y = 4 as an output. So we can cross choice C off the list.
The point (-10,-2) is on the line instead of (-10,4)
------------------------------
D)
y = (1/10)x + 5
y = (1/10)*(-10) + 5
y = -1 + 5
y = 4
Choice D is one of the answers
------------------------------
E)
y = (1/5)*x^2 - 16
y = (1/5)*(-10)^2 - 16
y = (1/5)*(100) - 16
y = 20 - 16
y = 4
Choice E is one of the answers
------------------------------
An alternative method is to graph each equation and see if (-10,4) is on the curve or not. See the diagram below. Only choices B, D and E have (-10,4) on their respective curves.
Is this non linear or linear?
Answer:
Non-linear
Step-by-step explanation:
If we were to graph this table, the points will form a curve.
This is most likely a exponential function, not a linear function.
A linear function would form a straight line on a graph.
Hope this helps!
Plssss help———What is an exponent and how do you solve it? 4-5 sentences :)
Answer:
[tex] {5 }^{2} [/tex]
that is an exponent
Step-by-step explanation:
an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125
Use the tape diagram below to help visualize 1/3 being devided by 5
Answer:
Step-by-step explanation:
Reduce the expression, if possible, by cancelling the common factors.
Exact Form:
1/15
Decimal Form:
0.06
What happens to the inequality sign when you multiply or divide by a negative
number?
Answer:
Much like when you divide by a negative number, the sign of the inequality must flip! ... When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!
Step-by-step explanation:
Answer:
It switches sides
Step-by-step explanation:
Example 2<4, 2<4(-2)=2<-8
find the surface area of the prism. 13.5in 9in 9in 10in
Answer:
I got the same answer
Step-by-step explanation:
Answer:
41in
Step-by-step explanation:
Please help due today right now
Answer:
Find "f(6)" __-8__
Find x when "f(x)=2" __x=1__
Step-by-step explanation:
For the first part, we will substitute 6 into the f(x) to get "-2(6)+4" When simplified further, you get "-12+4" which is "-8"
For the second part we will substitute the two as the answer of f(x) "-2x+4=2" Simplifying this further we get "-2x=-2" This means that x=1
I need help and a explanation
Answer:
Step-by-step explanation:
12(10/100)=$1.20
Brianna has 6 bags of soil. Filling one flowerpot requires 1/3 of a bag of soil. How many flowerpots can be filled with these 6 bags?
A.1/2
B.2
C.18
D.24
Help I suck at math 0-0
Answer:
C. 18
Step-by-step explanation:
Inverse of 1/3 = 3
3 x 6 = 18
18 flowerpots can be filled with these 6 bags.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
We have,
Brianna has 6 bags of soil.
Filling one flowerpot requires 1/3 of a bag of soil.
So, the number of flowerpots filled using 6 bags
= 6 / (1/3)
= 6 x 3
= 18 pots
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ5
what is the probability of rolling a dice twice and getting a six?
[tex] \huge \boxed{ \fcolorbox{black}{aqua}{Answer}}[/tex]
There are a total of 6 x 6 = 36 possible outcomes when a fair die is rolled twice. Of the 36 possible outcomes, there are 6 doubles: 1-1, 2-2, 3-3, 4-4, 5-5, and 6-6. Thus, the probability of getting a double is 6/36 = 1/6.
Write an equation of the line with the given slope, m, and y-intercept (0,b).
The equation is ______ m=0, b =-5
3.
(Simplify your answer. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
Answer:?
Step-by-step explanation:
Answer:
ur bad
Step-by-step explanation:
Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5
plzzzzzzzzz
Answer:
2 13/15
43/15
Step-by-step explanation:
through: (-3,-4) and (0,4)
Answer:
The slope = 8/3
Step-by-step explanation:
Let's find the slope between your two points.
(−3,−4);(0,4)
(x1,y1) = (−3,−4)
(x2,y2) = (0,4)
Use the slope formula:
m= y2−y1 / x2−x1
= 4 − −4 / 0 − −3
= 8/3
Answer:
m = 8/3
Graph:
hope this helps and is right :)
What is the area of the triangle below (in square units)?
10 mm
90mm
Answer:
450
Step-by-step explanation:
Answer:
450 square units, the formula is bxh divided by 2
Step-by-step explanation:
6. Petra visited the Empire State Building, which is approximately 1454 ft tall. The
scale of the model she bought is 1 in = 200 ft. What is the height of the model in
inches?
Answer:
Below.
Step-by-step explanation:
1454 / 200
= 7.27 inches.
Is c 9/10 ? I’m probably wrong
I’m a little confused please help
Why is it important to include a conclusion at the end of an argument? to answer a question to restate the claim to introduce an idea to show understanding
to restate the claim
The value of y varies inversely with x, and y=-2 when x=4
What is the equation?
PLZ HELP I WILL GIVE BRANLIEST
Myrna wants to know how many pairs of jeans middle school students own. She did not have time to ask all 257 middle school students, so she surveyed a random sample of 25 students. The results below display the number of pairs of jeans each surveyed student owns.
3, 4, 2, 1, 3, 1, 2, 4, 2, 3, 1, 2, 4, 2, 3, 2, 2, 6, 1, 1, 2, 4, 1, 1, 2
The mean of her data is 2.36 pairs of jeans. From the given data and the calculated mean, which inference could Myrna make?
A. All middle school students own jeans.
B. The average middle school student owns around two pairs of jeans.
C. Most seventh-grade students prefer cargo pants to jeans.
D. An average middle school student owns three or more jeans.
Answer: B-The average middle school student owns around two pairs of jeans.
Step-by-step explanation:
Plz, answer this question plz!
Plz, answer this question plz!
Answer:
24
Step-by-step explanation:
4 x 3 x 2 x 1 = 24
or P(4,4) = 4! = 24