Answer:
It is clear that both equations are identical. Hence, the solution to the system of equations would contain infinitely many solutions.
Step-by-step explanation:
Given the system of equations
y = -4x + 2
y = -4x + 2
It is clear that both equations are identical. We know that when the system of equations is identical, then the system of equations will have infinitely many solutions.
Hence the given system of equations would contain infinitely many solutions.
solving the system of equations
[tex]\begin{bmatrix}y=-4x+2\\ y=-4x+2\end{bmatrix}[/tex]
Substitute y = -4x+2
[tex]\begin{bmatrix}-4x+2=-4x+2\end{bmatrix}[/tex]
For y = -4x+2
Express y in terms of x
[tex]y=-4x+2[/tex]
Thus, the solution to the system of equations would be:
[tex]y=-4x+2,\:x=x[/tex]
It is clear that x = x is true no matter what. Hence, the solution to the system of equations would contain infinitely many solutions.
The table shows the total number of U.S. participants in four high school sports over several school years. What was the percent decrease in basketball participants from 2013 2014 to 2014 2015?
The percent decrease in basketball participants from 2013 2014 to 2014 2015 is
(Round to the nearest tenth as needed.
Answer:
Baseball 482,740 36,011 7.5% 2.2% 2.3% 2.9%
Basketball 540,769 18,816 3.5% 1.0% 1.0% 1.4%
Cross Country 269,295 14,303 5.3% 1.8% 1.4% 2.1%
Football 1,006,013 73,712 7.3% 2.9% 1.9% 2.5%
Golf 143,200 8,485 5.9% 2.0% 1.6% 2.2%
Ice Hockey 35,283 4,323 12.3% 4.8% 0.6% 6.8%
Lacrosse 113,702 14,603 12.8% 3.1% 2.5% 7.3%
Soccer 459,077 25,499 5.6% 1.3% 1.5% 2.7%
Swimming 136,638 9,799 7.2% 2.8% 1.2% 3.2%
Tennis 159,314 7,785 4.9% 1.6% 1.0% 2.3%
Track & Field 605,354 28,914 4.8% 1.9% 1.2% 1.7%
Volleyball 63,563 2,355 3.7% 0.7% 0.7% 2.3%
Water Polo 22,475 1,072 4.8% 2.7% 0.8% 1.3%
Wrestling 247,441 7,300 3.0% 1.0% 0.8% 1.2%
Women
Basketball 399,067 16,509 4.1% 1.3% 1.2% 1.7%
Cross Country 219,345 15,624 7.1% 2.7% 1.7% 2.7%
Field Hockey 60,824 6,119 10.1% 2.9% 1.4% 5.8%
Golf 79,821 5,436 6.8% 2.8% 1.9% 2.1%
Ice Hockey 9,650 2,531 26.2% 8.9% 1.1% 16.2%
Lacrosse 99,750 12,452 12.5% 3.7% 2.6% 6.2%
Soccer 394,105 28,310 7.2% 2.4% 1.9% 2.9%
Softball 362,038 20,419 5.6% 1.8% 1.7% 2.2%
Swimming 173,088 12,980 7.5% 3.3% 1.2% 3.0%
Tennis 189,436 8,596 4.5% 1.5% 1.0% 2.0%
Track & Field 488,267 30,326 6.2% 2.8% 1.5% 1.9%
Volleyball 452,808 17,780 3.9% 1.2% 1.1% 1.6%
Water Polo 21,735 1,217 5.6% 3.3% 1.1% 1.2%
Step-by-step explanation:
The percentage decrease in basketball participation from 2013-2014 to 2014-2015 is 0.35%.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the given information in the question,
Number of basketball participants in 2013-2014 = 974,398
Number of basketball participants in 2014-2015 = 970,983
Then, the percentage decrease in the participants,
% decrease = (974,398 - 970,983)/ 974,398 × 100
% decrease = 0.35%.
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10 points - What is the 8th term of the sequence?
8, 24, 72, 216...
Answer:
17,496 hope this helps
Step-by-step explanation:
PLEASE I NEED HELP.
Which expression
uses the associative property to make it easier to evaluate
140 . )?
A. (141)
O B.76 : )
C. (143)
O D. 14 : )
Answer:
I believe it is D.
Step-by-step explanation:
The associative property switches around the order of the digits to make the problem easier. In my opinion it is easiest to multiply the fractions together, and then the whole number.
solve for x: 11 -4x = 19
Answer:
-2
Step-by-step explanation:
if you have -4 -2 then like ... you add 11 i think then ldk , i thought i was getting somewhere lol
[tex]2x^{2}+3x-20=0[/tex]
Solve the system of equations by using substitution.
y = 2x – 3
y = x+4
Answer:
point form=7,11 x= 7,y =11
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=2x-3
y=x+4
2x-3=x+4
2x-x=4+3
x=7
y=7+4=11
Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all.
Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).
Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
The equation of the graph in slope intercept form is y = -4x + 5
Using slope intercept equation
y = mx + b
where
m = slope
b = y- intercept
Therefore,
Let's take 2 coordinates to get the slope.
(1, 1)(0, 5)
y-intercept = 5
Therefore,
m = 5 - 1 / 0 - 1 = - 4
y = -4x + 5
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DESPERATE WILL GIVE BRAINLIST AND THANKS
What is 2410 expressed as a decimal?
Enter your answer in the box.
Answer:
2.1400
Step-by-step explanation:
Answer:
2.4
Step-by-step explanation:
find the first term and the common difference of an arithmetic progression in which t5=3x-y and t11=5y
t5 refers to term 5 and t11 refers to term 11
first term: 5x-5y
common difference: -x/2 + y
The common difference is d = -0.5x + y and the first term is 5x-5y
Geometric progressionThe nth term of the geometric progression is expressed as:
[tex]T_n=a+(n-1)d[/tex]
where;
a is the first termr is the common ration is the number of termsThe fifth term of the sequence is expressed as:
[tex]T_5=a+4d=3x-y[/tex]
[tex]T_{11}=a+10d=3x-y[/tex]
Take the difference of the terms:
[tex]4d-10d=3x-y-5y\\-6d=3x-6y\\d= -0.5x+y[/tex]
Get the first term:
a = 3x - y - 4(-0.5x+y)
a = 3x - y + 2x - 4y
a = 5x - 5y
Hence the common difference is d = -0.5x + y and the first term is 5x-5y
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. What is 6 8ths x 5? Draw a model of your choice to help
Answer:
3.75 in decimal form.
Step-by-step explanation:
Solve for y.
(y+k)h=C
Isolate the variable by dividing each side by factors that don't contain the variable.
Which graph represents an odd function?
What is the value of the expression 30 − 9 + 3 − (12 ÷ 4)? Options: 18, 20, 21, 24.
Answer:
21
Step-by-step explanation:
well first do 12 divided by 4 is 3. than 30-9 is 21. then do 21 +3 is 24 than 24- 3 is 21. therefore your answer is 21.
Answer:
21
Step-by-step explanation:
i just took the test
30 POINTS Math question algebra 2
Please, I would appreciate if you don't do unhelpful answers. I appreciate the help buddy :)
Answer:q=-6
Step-by-step explanation:
If the solution of the system is {(x,y) : x-3y=4}, then both equation should have proportional coefficients:
[tex]1/2=-3/q=4/8[/tex]
Solve it:
1/2 = -3/q
q=-3*2
q=-6
Check whether q=-6 is correct answer, substituting this value into the first ratio:
[tex]1/2=-3/-6=4/8[/tex]
q=-6
hope this helps,
have a great day,
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Answer:
Q = 2Step-by-step explanation:
If the solution to the system is the first equation only, then both equations should be same:
x - 3y = 4Qx - 6y = 8Double the first equation, then both of coefficients of y and constant will be equal:
2x - 6y = 8Qx - 6y = 8Comparing we get Q = 2
Como llega el gas natural a las Islas Baleares? I a Mallorca?
Answer:
El gas natural llegó ayer a Mallorca a través del gasoducto submarino.
10 POINTS!!! WILL MARK BRAINLIEST
Answer:
y=5Step-by-step explanation:
75+3x+(4x+10)
ok look at the triangle 2 sides are congruent means 2 angles are congruent
that means that 75 and 3x are congruent
75=3x
divide by 3 both sides
x=25
75+75=150
30=4y+10
y=5
Paula says that 2/3 is equivalent to 4/9 because 4 is a multiple of 2 and 9 is a multiple of 3. explain her error.
Answer:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
Step-by-step explanation:
Paula is wrong because, in order to be equivalent, the nominator and denominator of a fraction must have to be multiplied by the same number.
4/9 is basically obtained when we multiply the denominator of 2/3 by 2 and denominator by 3, which is wrong.
Thus, the correction is as follows:
Given the fraction
[tex]\frac{2}{3}[/tex]
Multiply the nominator and denominator of the fraction by 2
[tex]\frac{2\times 2}{3\times 2}=\frac{4}{6}[/tex]
Thus, the 4/6 is the correct equivalent expression of 2/3.
Select the correct answer. Which number has a repeating decimal form? A. 15 B. 11/25 C. 3/20 D. 2/6
Answer:
its D 2/6
Step-by-step explanation:
From the given options 2/6 has a repeating decimal form. Therefore, option D is the correct answer.
From the given options we need to find which number has a repeating decimal form.
What is a repeating decimal form?A repeating decimal or recurring decimal is the decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
Now, from option A:
1/5=0.2
From option B:
11/25=0.44
From option C:
3/20=0.15
From option D:
2/6=0.3333333
From the above calculation, we can see that number 2/6 has a repeating decimal form.
Therefore, option D is the correct answer.
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At the end of 2005, this price was `\$513.` At the end of 2015, it was `\$1060.` By what percentage did the price per ounce of gold increase?
Answer: The price per ounce of gold increases by 106.63%.
Step-by-step explanation:
Given: Price in 2005 = $ 513
Price in 2015 - $ 1060
Now , [tex]\text{Percentage increase in price}=\dfrac{\text{Change in price}}{\text{ Initial price}}\times100[/tex]
[tex]\Rightarrow\ \text{Percentage increase in price}=\dfrac{1060-513}{513}\times100\\\\=\dfrac{547}{513}\times100\\\\= 1.0663\times100\%=106.63\%[/tex]
hence, the price per ounce of gold increases by 106.63%.
Your weekly base salary is $150. You earn $20 for each phone you taht you sell. The company policy is that as a part-time employee , the maximum you can earn each week is $950
Write and solve an inequality that represents the number of cell phones you can sell each week.
Answer:
You can sell at least 40 phones each week.
Step-by-step explanation:
Given that:
Weekly base salary = $150
Earning on each phone = $20
Maximum amount that can be earned each week = $950
Let,
m be the number of phones.
20m + 150 ≤ 950
20m ≤ 950 - 150
20m ≤ 800
Dividing both sides by 20
[tex]\frac{20m}{20}\leq \frac{800}{20}[/tex]
m ≤ 40
Hence,
You can sell at least 40 phones each week.
Does (3, 10) make the inequality y > 2x + 2 true?
Answer:
Yes, it makes it true
Step-by-step explanation:
Plug in 3 and 10 as x and y into the inequality:
y > 2x + 2
10 > 2(3) + 2
10 > 6 + 2
10 > 8
Since 10 is bigger than 8, this inequality is true.
So, (3, 10) makes the inequality true.
What is the value for x?
Enter your answer in the box.
x =
Answer:
x = 8, y = 8
Step-by-step explanation:
So we know angle CAB is congruent to angle ACB so both angles are 69.
Now we add 69+69 and we get 138. Subtract from 180.
180 - 138 = 42.
Now, we set up the equation to 5x+2=42,
subtract two from both sides and get 5x = 40,
divide both sides by 5 and you get x=8.
You can simply plug in x to 5 and add two and still get 42.
WILL GIVE BRAINLEIST
Which graph shows three points that represent equivalent ratios?
Answer: The first one and the last one
Step-by-step explanation:
Answer:
The answer is c.
Step-by-step explanation: i took the test
im 100% sure
Please help it's easy!
Step-by-step explanation:
[tex] - \frac{1}{4} \times ( - \frac{6}{11} )[/tex]
[tex] \frac{1}{2} \times \frac{3}{11} [/tex]
[tex] \frac{3}{22} [/tex]
Answer:
3/22
Step-by-step explanation:
Re-do
-3 > 2/3p
Find inequality! :D
Answer:
p < -9/2 or p < -4.5
Step-by-step explanation:
-3 > 2/3p
-3 * 3> 2p
-9/2 > p
-9/2 > p or -4.5 > p
A recipe calls for 1/2 cup of milk for every 3/4 cup of flour. If Kenny wants to double the recipe, how many cups of flour will he need?
Answer:
2\3 cups will be needed..good luck
PLEASE HELP FAST. Which function is described by the values in the table?
Answer:
y = -x + 10 I believe.....
Which of the following sides of a triangle form a right triangle?
a.) 2.1, 7.2, 7.5
b.) 6, 8, 10
c.) 6.4, 12, 12.2
d.) 9, 11, 15
Solve for m < A
110
55
90
70
I guess the answer is 70°
3
Select the correct answer.
The graph of the rational function is shown.
16
14
-6
-4
-2
0
4
2
6
MA
which graph is the graph of g(x)=-f(x)
Answer:
0,-2,-4
Step-by-step explanation: