Now, when a system has at least one solution, it's called consistent. When it has only one solution, it's called independent. otherwise inconsistent
The classification which best describes the system of equations is; Consistent and dependent
A linear or nonlinear system of equations as the case may be is termed consistent if there is at least one set of values for the unknowns that satisfies each equation in the system. In essence, when substituted into each of the equations, they make each equation hold true.
Additionally, the system of equations is dependent because the value of each variable is dependent on the others.
Now, when a system has at least one solution, it's called consistent. When it has only one solution, it's called independent.
learn more about of independent here
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42. Use the Quadratic Equation to find the Roots of x2 + 3x - 3=0
Answer:
Step-by-step explanation:
The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21. The positive nature of the discriminant tells us that there are two real, unequal roots. Following the quadratic formula, we get:
-3 ± √21
x = -----------------
2
Which is equivalent to x2 - 4x = 12 by completing the square
Answer:
x = 6 , − 2
Step-by-step explanation:
find the surface area of the pyramid
Answer:
864cm squared
Step-by-step explanation:
The base is 16 x 16
The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}
A quantity with an initial value of 980 decays exponentially at a rate of 0.3% every 6 decades. What is the value of the quantity after 49 decades, to the nearest
hundredth?
Answer:
956.73
Step-by-step explanation:
0.3% = 0.003
1-0.003 = 0.997
49/6 = 8 r1 (use 8 because decay is not continuous)
0.997^8 = 0.97625...
0.97625... x 980 ≈ 956.73
Answer: 956.25
Step-by-step explanation:
Can someone please help me with math.
Answer:
B
Step-by-step explanation:
The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).
we can see b intersects on (0,1) so that is out answer.
10. Mason earns $10 for each lawn he mows. How much will he earn if he mows 6 lawns?
A. Write and solve an equation to solve the problem. Show your
work.
Answer:
60
Step-by-step explanation:
just multiply 10 by 6 why is this in highschool math though.
what is the product
4/6 x 9
13/16
36/54
3
6
A zoo starts off with 8 monkeys, and the monkeys population
doubles every year. How many monkeys are in the zoo after 4
years?
monkeys
Answer:
32
Step-by-step explanation:
Please help! Check to see if I have all of them correct! Will mark brainlist
James wants to cover a floor measuring 90 cm by 120 cm with square tiles of the same size.
Given that he uses only whole tiles, find the largest possible length of the side of each tile
Answer:
30cm
Step-by-step explanation:
Find L.C.M of 90 and 120
I need help I'm struggling :(
Someone pls help:( im new tysm if u doo!
Please help me out with this
Answer:
Step-by-step explanation:
surface area = 3^2 : 11^2
volume = 3^3 : 11^3
width = 3: 11
hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal. But I like the exponential form better.
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
a. Write equations for both Khalil's and Ronda's purchases.
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.
Answer:
a) For Khalil's purchase
4x + 3y = 11.67.....Equation 1
For Ronda's purchase
8x + y = 12.89......Equation 2
b) A can of soup = x = $2.09
Loaf of bread = y = $1.35
Step-by-step explanation:
A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three
loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.
Homework Help!
Let us represent:
a can of soup = x
Loaf of bread = y
a. Write equations for both Khalil's and Ronda's purchases.
For Khalil's purchase
= Khalil buys four cans of soup and three loaves of bread for $11.67.
4x + 3y = 11.67.....Equation 1
Ronda buys eight cans of soup and one loaf of bread for $12.89.
8x + y = 12.89......Equation 2
b. Solve the system to find the price of one can of soup and the price of one loaf of bread.
We have:
4x + 3y = 11.67.....Equation 1
8x + y = 12.89......Equation 2
y = 12.89 - 8x
We substitute 12.89 - 8x for y in Equation 1
4x + 3(12.89 - 8x) = 11.67
4x + 38.67 - 24x = 11.67
38.67 - 11.67 = 24x - 4x
27 = 20x
x = 27/20
x = 1.35
y = 12.89 - 8x
y = 12.89 - 8 × 1.35
y = 12.89 - 10.8
y = 2.09
Therefore,
Solving for y
a can of soup = x = $2.09
Loaf of bread = y = $1.35
Please, nobody answered it!!! :C
Answer:
C. 59
Step-by-step explanation:
Hello There!
Remember the angles in a triangle add up to equal 180
So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180
So missing angle = 180 - 65 - 56
180 - 65 = 115
115 - 56 = 59
So we can conclude that the missing angle has a measure of 59 degrees
Answer:
C: 59
Step-by-step explanation: His explanation is correct, I did it myself.
Ashley deposited $4,000 into a savings account that earns 4% simple interest. How much interest did she earn after three years?
Answer:
for the 1st year she earned 160 so for 3 years she will earn $480
Can some please help me on question 2 I am just confused.
Answer:
ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost
Step-by-step explanation:
A .Write an equation for the trend line in slope -intercept form .
Given:
The graph of a trend line.
To find:
The equation of the trend line is slope intercept form.
Solution:
From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).
Slope of the line is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{50-25}{5-0}[/tex]
[tex]m=\dfrac{25}{5}[/tex]
[tex]m=5[/tex]
The line passes through the point (0,25). So, the y-intercept of the line is 25.
Slope intercept form of a line is:
[tex]y=mx+b[/tex]
Where, m is slope and b is y-intercept.
The slope intercept from of the line is:
[tex]y=(5)x+(25)[/tex]
[tex]y=5x+25[/tex]
Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].
identify the equation whose graph is a vertical line.
a) y=x/3-1
b) y=0
c) x=0
additive inverse of 8/-13 pls help fast
Answer:
8/13
hope this answer helps you.....
What’s the formula to find the area of a right triangle? (pythagorean theorem)
Answer:
multiply the hight and length then divide it by 2
Step-by-step explanation:
Find the value of x.
Anyone help me solve for y.
Answer:
y = - 4
Step-by-step explanation:
Given
y = 2x + ( - 2) , that is
y = 2x - 2 ← substitute x = - 1
y = 2(- 1) - 2 = - 2 - 2 = - 4
This is confirmed by the point (- 1, - 4 ) on the graph
find the area please
Answer:
86.54625
Step-by-step explanation:
Formula: a = πr², r = d/2
Given: π = 3.14, d = 10.5
Sub: a = (3.14)r²
Find r.
10.5/2
5.25
Sub: a = (3.14)5.25²
Solve: 86.54625
A rectangular prism has a base with a length of 25, a width of 9, and a height of 12. A secod prism has a square base with a side of 15. If the volumd of the two prisms are equal, what is the height of the second prism?
Answer:
6cm
Step-by-step explanation:
correct for 100 points i swear
A new savings account is opened with $400 and gains 3% every year. What is the value of the account at 32 years?
Answer:
1072
Step-by-step explanation:
What is 2 2/13 divided by 2/3
Answer:
3.23
Step-by-step explanation:
Answer:
the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer
Which one doesn’t belong?
Come up with one reason for at least 3 different boxes
Answer:
I think box #1 doesnt't belong because it say spend $100 and get $10 off
Step-by-step explanation:
A bottle of soap costs $3.45 for 64ounces. What is the cost per ounce?
Answer:
$0.05
Step-by-step explanation:
All you have to do us divide the cost by the amount of ounces
3.45 ÷ 64 is about 0.05
The full answer is 0.05390625
Since we are talking about money, it should be $0.05
A triangular pyramid is formed from three right triangles as shown below.
Use the information given in the figure to find the length BD.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ AD² + CD² = AC²
The value of AD is 54 and the value of AC is 90:
54² + CD² = 90²
Solve for CD:
54² + CD² = 90²
CD² = 90² - 54²
CD² = 5184
CD = √5184
CD = 72
ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.
Formula of the Pythagorus Theorem :
⇒ a² + b² = c²
⇒ BD² + CD² = BC²
The value of CD is 72 and the value of BC is 97:
BD² + 72² = 97²
Solve for BD:
BD² = 97² - 72²
BD² = 4225
BD = √4225
BD = 65
Answer: The length of BD is 65 units.