Answer:
Look at the variables and numbers in the equation, and what it equals
Step-by-step explanation:
Expressions that are the exact same have infinite solutions
[tex]5x+3=5x+3[/tex]
Expressions that are different have 1 solution
[tex]6x+7=5x-2[/tex]
Expressions that are the same with different operands have no solution
[tex]5x-3=5x+3[/tex]
Explanation:
The short of it is that when the equations are in the same form, if one equation is the same as or a multiple of the other, there are infinite solutions. If one equation is the same as or a multiple of the other, except for the constant terms, there are no solutions. Otherwise, there is one solution.
Example:
If one equation is x +2y = 3, then you can consider the other equation:
3x +6y = 9 . . . . 3 times the first equation: infinite solutions
3x +6y = 6 . . . . 3 times the first equation; constants differ: no solutions
3x -6y = 9 . . . . not a multiple of the first equation: one solution
_____
Here's a more formal method.
Put both equations of the linear system of two equations into general form:
ax +by +c = 0
dx +ey +g = 0
Perform the following arithmetic:
p = ae -db . . . . . this is called the system "determinant"
q = bg -ec
r = cd -ga
If p = q = r = 0, the equations describe the same line, so there are infinite solutions.
If p = 0 and either of q ≠ 0 or r ≠ 0, the equations describe parallel lines, so there are no solutions.
If p ≠ 0, there is one solution: (x, y) = (q/p, r/p).
_____
Additional comment
This method can always be used to find the solution to a system that is known to have one solution. It often requires fewer arithmetic operations than other solution methods. It is a variation of what is sometimes called the "cross multiplication method."
What is -45+30-(-60)=?
Answer:
45
Step-by-step explanation:
-45 + 30 gives you -15. When subtractinf a negative number, it actually turning into addition/positive. This changes it into -15 + 60, which is 45.
Answer: 45
Step-by-step explanation:
-45+30-(-60)=
First, times the negative 60 with the negative outside the parenthesis.
-45+30+60
60+30=90
90-45=45
Answer: 45
4. Find the center and radius of the circle with equation x2 + y2-2x + 4y -
11 = 0
Answer:
(1 , -2) and r = 4
Step-by-step explanation:
x² + y² - 2x + 4y - 11 = 0
x² - 2x + 1 - 1 + y² + 4y + 4 - 4 - 11 = 0
(x - 1)² - 1 + (y + 2)² - 4 - 11 = 0
(x - 1)² + (y + 2)² = 16
We know equation of circle is of the form
(x - h)² + (y - k)² = r²
So, center is (1 , -2) and radius is 4
HELPPPP
In the diagram to the right, GKNM~VRPT.
Find the value of x. Give the scale factor of the left polygon to the right polygon.
Answer: Sorry, I had a different problem than you so this answer isn't correct for the OP but hopefully it shows you how to solve.
x=27/5
The scale factor is 7:3
Step-by-step explanation:
f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What's the coordinate of the vertex?
Answer:
1) Axis of symmetry = [tex]\frac{3}{2}[/tex]
2) Vertex form = [tex]y=3(x-\frac{3}{2} )^{2} -\frac{19}{4}[/tex]
Rewrite in vertex form and use this form to find the vertex (h,k).
[tex](\frac{3}{2} ,-\frac{19}{4} )[/tex] (coordinates of the vertex)
Step-by-step explanation:
Vocabulary:
Axis of symmetry- A line that passes through a figure in such a way that the part of the figure on one side of the line is a mirror reflection of the part on the other side of the line.
Vertex- The point on an angle where the two sides intersect.
Answer
Thats the answer below!
Step-by-step explanation:
Pleas I really really need help
Answer:
3.5 gallons of gas
Step-by-step explanation:
If m = miles
And the equation is m = 40g
Then: 140 = 40g
40g/40 = 140/40
g = 3.5 gallons of gas.
The car used "3.5" gallons of gas.
the numbers of motor vehicle fatalities in the united states for the years
A set of mathematics exam scores are normally distributed with a mean of 80.280.280, point, 2 points and a standard deviation of 444 points. What proportion of exam scores are between 828282 and 85.685.685, point, 6 points? You may round your answer to four decimal places.
Answer:
0.2379
lmk if im wrong :)
Approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
To find the proportion of exam scores between 82.2 and 85.6, we need to calculate the z-scores for both values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score for a value x in a normal distribution with mean μ and standard deviation σ is given by the formula:
z = (x - μ) / σ
where x is the value, μ is the mean, and σ is the standard deviation.
Let's calculate the z-scores:
For x = 82.2:
z₁ = (82.2 - 80.2) / 4 = 2 / 4 = 0.5
For x = 85.6:
z₂ = (85.6 - 80.2) / 4 = 5.4 / 4 = 1.35
Now, we can find the proportion of scores between these z-scores using the z-table. The table gives us the cumulative probability up to a certain z-score.
From the z-table, the cumulative probability for z₁ = 0.5 is approximately 0.6915, and the cumulative probability for z₂ = 1.35 is approximately 0.9115.
Now, we can find the proportion of scores between these two z-scores:
Proportion = P(0.5 ≤ z ≤ 1.35)
= P(z ≤ 1.35) - P(z ≤ 0.5)
= 0.9115 - 0.6915
≈ 0.2200
So, approximately 0.2200 or 22.00% of the exam scores are between 82.2 and 85.6.
Learn more about z-scores click;
https://brainly.com/question/32011298
#SPJ3
Please find the value of X!
Answer:
or,180=3x
or,x=180+3
or,x=183 answer
Answer:
54
Step-by-step explanation:
there are 2 ways
(180 - 18) ÷ 3 = 54
(360-18-18) ÷ 6 = 54
same answer
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
Answer:
answer d and e
Step-by-step explanation:
First, you need to figure out the radius of B.
As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2
Now you get the radius of B, calculate th area of B using the formula πr^2.
= π(7.2)^2 = 162.86 = area of B
Now, all answers except D and E is smaller than B. So, the answer would be D and E.
Answer:
A, E
Step-by-step explanation:
The radius of Circle B is 20% greater than 6 inches, so is ...
r = (6 in)(1 +20%) = 1.2×6 in = 7.2 in
The area of Circle B is ...
A = πr²
A = π(7.2 in)² ≈ 162.86 in²
The offered answer choices (and the area of Circle B) in order from least to greatest are ...
[B]51.84, [C]113.04, [F]148.49, [D]162.78,
(circle B)162.86,
[A}189.31, [E]203.15
Choices A and E are greater than Circle B's area.
are -8h - 3.5 and -0.5(16h - 7) equalivalent expressions?
Answer: Yes because they both have the same total
Step-by-step explanation:
In Figure 1, the area of square A is 9 square units, the area of square B is 16 square units, and the area of square C is 25 square units.
In Figure 2, the area of square D is 36 square units and the area of square E is 64 square units.
What is the area of square F in Figure 2?
A.
110 square units
B.
100 square units
C.
90 square units
D.
80 square units
Answer:
b) 100 square units as 36 add 64 is 100
please help. its on zearn name the coordinates of each shape
Answer:
circle: 2, 1/2
square: 1 1/2, 3 1/2
triangle: 0, 4 1/2
Answer:
Square X-coordinate: 1 and 1/2
Square Y-coordinate: 3 and 1/2
Triangle X-coordinate: 0
Triangle Y-coordinate: 4 and 1/2
Step-by-step explanation:
A hardware store stocks 85 reels of garden hose, each
containing 30 m of hose. How many kilometres of
garden hose are stocked by the store?
It's given that, the hardware store stocks 85 reels of garden hose. Each of them measure to be of 30 m.
Total length of hoses = 85 × 30
= 2550 m
= 2.550 km
= 2.5 km (approx.)
2.5 km of garden hose are stocked by the store.
Find the area of the shaded region.
Answer:
[tex] \boxed{ \tt\longrightarrow \: Area \: Of \: Shaded \: region \: =\boxed{ \tt 39 \: in²}}[/tex]
Step-by-step explanation:
Given:
The Dimensions of Parallelogram are 12 in.(Base) and 7 in.(Height)
And,
The Dimensions of Rectangle are 9 in.(Length) and 5 in.(Breadth).
To Find:
The Area of Shaded region
Solution:
When the dimensions of parallelogram and the dimensions of rectangle are given, we need to find the Shaded region using this formula:
[tex] \boxed{\tt \longrightarrow Area = (Parallelogram - Rectangle)}[/tex]
We know that the formula of Parallelogram is base*height[b×h] and the formula of rectangle is length*breadth[l*b] .
[tex] \tt\longrightarrow \: Area =B×h-l×b [/tex]
Put their values accordingly:
[tex]\longrightarrow \tt Area = (12 \times 7 - 9 \times 5)in {}^{2} [/tex]
Simplify it.
[Follow BODMAS Rule strictly while simplifying]
[tex] \tt\longrightarrow \: Area = (84 - 45 ) in {}^{2} [/tex]
[tex] \tt\longrightarrow \: Area = 39 \: {in}^{2} [/tex]
Hence, the Area of Shaded region would be 39 in² or 39 sq. in. .
[tex] \rule{225pt}{2pt}[/tex]
I hope this helps!
Solve the following system of equations using the elimination method. 8x – 5y = 5 –8x – 6y = 6 Question 3 options: A) (0,1) B) (0,–1) C) (2,–3) D) (–2,3)
Answer:
B: x = 0, y = -1
Step-by-step explanation: Hope it Helps!
Answer:
(0,-1)
Step-by-step explanation:
8x – 5y = 5
–8x – 6y = 6
-11y = 11
/-11 /-11
y = -1
8x – 5y = 5
8x - 5(-1) = 5
8x - (-5) = 5
8x + 5 = 5
- 5 - 5
8x = 0
/8 /8
x = 0
8x – 5y = 5
8(0) - 5y = 5
0 - 5y = 5
-5y = 5
/-5 /-5
y = -1
(x,y) ==> (0,-1)
Hope this helps!
A survey of 400 randomly selected high school students determined that 925 play organized sports.
A. What is the probability that a randomly selected high school student plays organized sports?
B. Interpret this probability.
Answer:
It is 43%.
Step-by-step explanation:
I took the 400 and divided it by the 925. I got 0.43 and moved the decimal point over 2 spots and the answer is 43%.
Have a good day!
help me pls ヾ(•ω•`)o
Now,
Volume = L × B × H
Volume = (L × B) × H
Volume = Area × H
Volume = 10/3 × 7/5 units
V = 70/15 = 14/3 or 4.7 cubic units
Thus, The answer is 14/3 or 4.7 cubic units
-TheUnknownScientist 72
Benjamin is four years younger than Kevin Williams for years less than twice Benjamin’s age and William is 22 how old are Kevin and Benjamin
Help me with this I will give brainliest
Answer:
see explanation
Step-by-step explanation:
both linear equations will have the form
y = mx + c ( m is the slope and c the y- intercept )
Chef Mate
c(n) = mn + c
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 14) and (x₂, y₂ ) = (3, 18.5) ← 2 ordered pairs from the table
m = [tex]\frac{18.5-14}{3-2}[/tex] = [tex]\frac{4.5}{1}[/tex] = 4.5 , then
c(n) = 4.5n + c ( n represents ounces )
To find c substitute any ordered pair from the table into c(n)
using (4, 23 )
23 = 18 + c ⇒ c = 23 - 18 = 5
c(n) = 4.5n + 5 ← equation for Chef Mate
--------------------------------------------------------------------
Similarly for Grocery Gourmet
g(n) = mn + c
using (2, 23 ) and (3, 27 ) to find m
m = [tex]\frac{27-23}{3-2}[/tex] = [tex]\frac{4}{1}[/tex] = 4 , then
g(n) = 4n + c
using (4, 31 ) to find c
31 = 16 + c ⇒ c = 31 - 16 = 15
g(n) = 4n + 15 ← equation for Grocery Gourmet
------------------------------------------------------------------
Equate the 2 equations to find when cost is the same
4.5n + 5 = 4n + 15 ( subtract 4n from both sides )
0.5n + 5 = 15 ( subtract 5 from both sides )
0.5n = 10 ( divide both sides by 0.5 )
n = 20
Then when n = 20
c(n) = 4.5(20) + 5 = 90 + 5 = 95
g(n) = 4(20) + 15 = 80 + 15 = 95
Both Chef Mate and Grocery Gourmet charge $95 for 20 ounces of extract
Is y = 3/7x -4 is it proportional or nonprotional
Answer:
Not proportional
Step-by-step explanation:
Not proportional because the line has to go through the origin
The y-intercept has to be 0, but here it is given as -4
The graph goes 4 units below the origin on the y-axis.
The correct equation would be y = 3/7x
-Chetan K
please Help Me answer this question
i want to know what 24 multipled by 1.5 is
Answer:
36
Step-by-step explanation:
24×1.5
tips to answer quickly:
1.5 is the same as 1 + [tex]\frac{1}{2}[/tex]
(1×24)+([tex]\frac{1}{2}[/tex]×24)
24+12
36
solve for x!!!!!!!!!!
Answer:
8 10
Step-by-step explanation:
maybe this will help you
2) Find the total cost (in dollars) of buying:
a) 8 pears at 50 cents each
b) p pears at 50 cents each
c) p pears at y cents each
Answer:
a=4
b=0.5p
c=py
Step-by-step explanation:
a) 8*0.5= 4
b) p*0.5= 0.5p
c) p*y= py
Hope this helps! :)
Helpp please find the value of s! I will give brainlist
We have :
s - 39⁰+ s - 9⁰ = s + 29⁰
s + s - s = 29⁰ + 9⁰ + 39⁰
s = 77⁰
Answer: 77⁰
Ok done. Thank to me :>
Help Iḿ stuck on this problem
Answer:
774
Step-by-step explanation:
38*15=570
17*12=204
570+204=774
3) Write the following numbers from highest to lowest: 6288, -8, 2301, -282, 202
Answer:
6288 2301 202 -8 -282
im genius
plzzzzzzzzzzzzzzzzzzzzzzzzzzzzz help me
Answer:
248
Step-by-step explanation:
I'm not completely sure but hope this helps
Answer:
220 cm²
Step-by-step explanation:
area of rectangle:
Length * Width
18 * 11
198 cm²
Triangle area:
1/2 * base * height
1/2 * (18-7)(15-11)
1/2 * 11 * 4
22 cm²
So total area: 198 cm² + 22 cm² = 220 cm²
At the school store, 3 pens and 2 notebooks cost a total of $12, while 1 pen and 3 notebooks cost a total of $11. This can be represented by the system of equations, where x stands for the cost, in dollars, of pens, and y stands for the cost, in dollars, of notebooks.
What is the cost of one notebook?
A.$2.40
B.$2.75
C.$2.00
D.$3.00
Answer:
D
Step-by-step explanation:
the reason why is because if you put 3 dollars in for the notebooks right you have 3x3=9 and that one pen will be 2 dollars. Now you have 3×2=6 and then the two notebooks will be 6 and you add that and get 12. Hope this helps
Answer:
One notebook is $3.00
Step-by-step explanation:
3x + 2y = $12
1x + 3y = $11
Add -3y to the second equation
x = 11 - 3y
Substitute ( 11 - 3y ) for x in 3x + 2y = 12
3 ( 11 - 3y ) + 2y = 12
33 - 9y + 2y = 12
33 - 7y = 12
Add -33 to each side
-7y = -21
Divide each side by -7
y = 3
substitute 3 for y in x = 11 - 3y
x = 11 - 3(3)
x = 11 -9
x = 2
One notebook is $3.00
whats this v+2=v+4 please help me
Answer:
this should help
Step-by-step explanation:
U dont have to believe me ;-;