Bryan's assertion is not true. Here are two counter examples to disprove it:
1) x = 0
This equation has only one variable, x, but it has no solution because there is no value of x that will make the equation true.
2) x^2 + 1 = 0
This equation also has only one variable, x, but it has no solution because there is no value of x that will make the equation true.
These examples show that it is possible for an equation with one variable to have no solution.
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Two perpendicular lines intersect at K(-2,-5). One line has equation y = -5/3x-25/3. what is the equation of the other line?
Answer:
It is y = 3/5x - 19/5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes. Thus, the slope is 3/5x. Plug in -2 as x and solve for the intercept. It ii -19/5.
PLEASE HELP I REALY NEED THIS NOW How much simple interest is earned on an investment of $800 with a rate of 6.1% over 7 years?
A. $341.60
B. $410.87
C. $3,416.00
D. $4,108.70
The amount of simple interest is (a) $341.60
How to determine the amount of simple interest?From the question, we have the following parameters that can be used in our computation:
Principal, P = $800
Rate, r = 6.1 %
Time = 7 years
The simple interest on the investment is calculated as
I = PRT
Substitute the known values in the above equation, so, we have the following representation
I = 800 * 6.1% * 7
Express 6.1% as decimal
So, we have the following representation
I = 800 * 0.061 * 7
Evaluate the products
I = 341.6
Hence, the amount is (a) $341.6
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1. If candy canes cost.89 a dozen, how much would it cost to buy candy canes for a school with 400 students? Show all work!
mark has 100$in his savings account. He earns 25$ a week mowing lawns. If mark puts all of his earnings from mowing lawns into a savings account, how many weeks will it take for him to have 500$?
The function rule for this graph is
Answer:
Step-by-step explanation:
(0, 2) (4, 0)
(0 - 2)/(4 - 0) = -2/4 = -1/2
y - 2 = -1/2(x - 0)
y - 2 = -1/2x + 0
y = -1/2x + 2
#9 -5=9+(c divide by 4) *
O A. c = -56
O B. c = 56
O C. c = -16
OD. c = 16
After solving the given equation for c, we know that the value of c is (A) -56.
What are equations?Equivalent systems refer to sets of equations with the same solution.
We can create an analogous system from a system of two equations by replacing one equation with the total of the two equations or by replacing an equation with a multiple of itself.
So, we have the equation:
-5 = 9+(c/4)
Now, solve for the subject c as follows:
-5 = 9+(c/4)
-5 -9 = (c/4)
-14 = c/4
c = -14*4
c = -56
Therefore, after solving the given equation for c, we know that the value of c is (A) -56.
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PLS HELP ME IN THIS ASAP
Answer:
0.004
Step-by-step explanation:
Hope it helps!
The number of different hands possible in the game of bridge is about 635 billion. Write this number in scientific notation
Suppoe that the concentration of a bacterial ample i 100,000 bacteria per millimeter. If the concentration double every three hour how long will it take for the concentration to reach 350,000 material per millimeter?
The time t = 3.4209 will it take for the concentration to reach 350,000 material per millimeter.
How do you calculate hours and minutes?In an hour, there are 60 minutes. Divide the number of minutes by 60 to convert it to hours. For instance, 120/60=2 means that 2 hours are equal to 120 minutes.
What is millimeter?The millimeter, abbreviated mm in the International System of Units (SI), or millimeter, abbreviated mm in the American spelling, is a unit of length that is one thousandth of a metre long, the SI base unit of length. As a result, a metre is made up of 1000 millimeters.
We are going to use formula
y = a * e ^ (b * t)
a and b are constants and t is for time.
Initially there are 100,000 bacteria, so;
100000 = a * e ^ (b * 0)
100000 = a * 1
a = 100000
given condition is that the concentration doubles every 3 hours so
300000 = a * e ^ (b * 3)
As a equals to 100,000
e ^ (b * 3) = 3
b * 3 = ln 3
b = (ln 3) / 3
b = 0.3662
now we have to find value of the time when concentration of bacteria reaches to 350,000:
350000 = 100000 * (e ^ 0.3662 * t)
3.5 = e ^ 0.3662* t
ln 3.5 = 0.3662* t
t = 1.2527 / 0.3662
t = 3.4209
That is the required value of time
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Write the expression in simplest radical form. Please help !!
Answer:
[tex]7\sqrt5[/tex]
Step-by-step explanation:
245 ÷ 5 = 49
49 is a square number (7)
So you put 7 on the outside and 5 on the inside.
What is the equation for the graph shown?
The linear equation on the graph shown is:
y = (2/3)*x + 4
What is the equation on the graph?
We can see that we have a linear equation on the graph, remember that a general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
On the graph, we can see that the line intercepts the y-axis at y = 4, then the y-intercept is b = 4
y = a*x + 4
To find the slope we can use another point on the line, for example, we can see that (-6, 0) is also on the line, replacing these values in the linear equation above we will get:
0 = a*-6 + 4
6a = 4
a = 4/6 = 2/3
Thus, the line is:
y = (2/3)*x + 4
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how did you solve it??
The diagram shows a sector of a circle radius 10 cm.
Find the area of the sector, giving your answer correct to 1 decimal place.
Answer:
[tex]117.8cm ^{2} [/tex]
Step-by-step explanation:
[tex]a = {r}^{2} \theta \: \div 2 \\ = 100 \times 135 \div 2 \\ = 117.8 \: {cm}^{2} [/tex]
A dolphin is swimming in the ocean at −13 feet.
What is the dolphin's distance from the surface of the water in feet?
The depth of the water is 5.3 meters
What is the dolphin's distance from the surface of the water in feet?The dolphin jumps to a height of 4.5 over the water's surface, and her companion swims 9.8 straight beneath her, according to the story.
We will take the position of the dolphin's friend and subtract it from the dolphin's position to determine the location of the dolphin's friend with respect to the water's surface.
-5.3 denotes the depth of the water.
As a result, the friend of the dolphin is located 5.3 meters below the water's surface.
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Penny has 14 coins, all nickels, dimes, and quarters, totaling $2. 50. She has twice as many dimes as nickels, and twice as many quarters as dimes. How many dimes does she have?.
Out of the 14 coins she has, she will have 4 dimes, totaling $2.5.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Here,
Let n be the nickels, d be the dimes, q be the quarters.
Total coins=14
Total amount=$2.5
n=2d
d=2q
q=d/2
d+q+n=14
d+2d+d/2=14
2d+4d+d=28
7d=28
d=4
She will have 4 dimes out of 14 coins that she owns with an amount of $2.5.
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through (4,-9) perpendicular to 8y=x-16
Answer:
y = -8x + 23
Step-by-step explanation:
8y=x-16
we need to turn this into slope-intercept form by dividing 8 on both sides
y = x/8 - 2
to make a line perpendicular from another, we must make sure the slope is the negative reciprocal of the original line.
Right now, it's the same as the original. To make it a negative reciprocal, switch the places of the denominator and numerator and flip the signs
-8x is the negative reciprocal of x/8
Does it go through (4,-9)? No.
To make sure it goes through 4,-9, we change it's y-intercept.
Plug in the coordinate given (4,-9) in the y = -8x + b ( we removed -2 since it's not the right answer.
y = -8x + b
(-9) = -8(4) + b
-9 = -32 + b
-9 +32= -32 + b +32
23 = b
plug in b and we get our answer
y = -8x + 23
The total height of a building, b, and the antenna tower on top of it, t, is 425 feet. The difference in heights of the building and the antenna tower is 324 feet. The following system of equations represents the situation.
b + t = 425 b- t = 324
a. Solve the system of equations using elimination. Explain your process in your own words.
b. What is the height of the antenna tower?
Answer:
It A
Step-by-step explanation:
To prove that the triangles are similar by the SAS
similarity theorem, it needs to be shown that
Ozcazc
OC 2G
O AC-H
BC
O AC-BE
HI
It needs to be shown that <W = <H by the SAS congruent theorem
How to determine the additional information?The question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
Triangles = IWO, and IHOGiven theorem = SASThe SSS congruent theorem implies that the corresponding sides of the triangles in question and the angles between them are congruent
From the question, we can see that the following corresponding sides on the triangles have the same mark
W O and H O
AO and AO
This implies that these sides are congruent sides
For the triangle to be congruent by SAS, the following sides must also be congruent
Angle W must be congruent to Angle H
Hence, the additional info is <W = <H
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Complete question
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that____
Can anyone help me understand this please? I am mainly just confused about how to graph the first equation the second I can do
A graph of the given system of equations f(x) = 2x² - 8x + 3 and g(x) = -2x + 3 is shown in the image attached below.
The points that make both equations true is (0, 3)
What is a graph?In Mathematics, a graph can be defined as a type of chart that is typically used to graphically represent data points or ordered pairs on both the horizontal and vertical lines of a cartesian coordinate, which are the x-coordinate and y-coordinate respectively.
What is a quadratic function?In Mathematics, the graph of every quadratic equations (functions) is either an upward or downward parabola, which is typically a u-shaped curve. This ultimately implies that, the graph of a quadratic equation (function) would always form a parabolic curve.
Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each, which is the ordered pair (0, 3);
f(x) = 2x² - 8x + 3
3 = 2(0)² - 8(0) + 3
3 = 3 (True).
g(x) = -2x + 3
3 = -2(0) + 3
3 = 3 (True).
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Monica has $50 to spend at the video arcade. If each game costs $0.25, which of these graphs shows how much
money she will have after x games?
Answer:
A
Step-by-step explanation:
If Monica has $50 dollars to spend on the video arcade, and each game costs $0.25 then we can use an equation that looks something like this:
total = amount of money × cost of one game
50 × 0.25 = 200
Now look at the graphs.
The graph that best matches this equation is A.
Write an equation in standard form of the line that passes through the given point and has the given slope (I need an answer ASAP please)
1. (4, -1); m = 3
2. (-8, 0); m = -4
3. (-6, -10); m = 1/6
The equation of the lines is,
1. (4, -1); m = 3 : - y = 3x - 13
2. (-8, 0); m = -4 :- y = -4x - 24
3. (-6, -10); m = 1/6 :- y = -1/6x - 9
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
The equation of the lines will be,
y = mx + c
y = 3x + c
-1 = 4 x 3 + c
c = -13
y = 3x - 13
y = mx + c
y = -4x + c
0 = -4 x -8 + c
c = -24
y = -x -24
y = mx + c
y = 1/6x + c
-10 = -1 + c
c = -9
y = -1/6x - 9
Therefore, the equation of the lines is,y = 3x - 13 y = -4x - 24 and y = -1/6x - 9.
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Min receives an average score of 7 after completing 5 math tests. If she has another test coming up, find what mark she must gain to raise her average to 75.
Min needs to gain 80 marks to raise her average to 75.
What is Average number?Average number is got from sum of all numbers divided by the number of values.
Why we use average value?Average value is used to compare among different quantities of same terms.
given, Min receives an average score 70 from 5 math test.
let she needs to gain X in her 6th test to obtain an average of 75 from the total six test.
she gained average 70 from 5 test
if average is 75 then
75 = (X+ 70)/2
X=80
hence, in the 6th test she needs to gain 80 marks.
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Please help me!!!!!!!!!!!!
Answer:
Step-by-step explanation: One denominator in the question is 4/5 and another is 1/2. A common denominator would be /10 because it applies to /5 and /2.
A relation contains the points (1, 2), (2, −1), (3, 0), (4, 1), and (5, −1). Which statement accurately describes this relation?
The relation represents y as a function of x as for each value of x there is a unique value of y.
What is a function?A function y = f(x) is defined as a one to one relation between sets X and Y. The set X is called the domain while Y is called the range of f(x).
The given data is as follows,
A relation contains the points (1,2),(2,-1),(3,0),(4,1), and (5,-1).
Here x is the element of domain and y is of the range of the given relation.
Here, the values of y are distinct for different values of x.
Hence, the given relation represents y as a function of x because for each value of x there is a single value of y.
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If the simple interest on $2,000 for 10 years is $1,400, what is the interest rate?
Answer: I = $ 200.00
Step-by-step explanation:
I = Prt
Convert R (percent) to r (decimal)
r = R/100 = 1%/100 = 0.01 per year
I = 2000 × 0.01 × 10 = 200
I = $ 200.00
hope this helps!
What is the range of this table?
Answer: B
Step-by-step explanation:
Range will always be Y
Domain will always be X
Help me out!! Giving Brainly to whoever helps!
Answer: 325 adult tickets
Step-by-step explanation:
721 = (a+71) + a
721 = 2a + 71
2a = 650
a = 325
Solve the system of equations using elimination:
-5x + 8y = -6.
-
- 5y = -9 and
Answer:
x=102/25 y=9/5
Step-by-step explanation:
Point QQ is located at (3,-1)(3,−1) on the coordinate plane. Point QQ is reflected over the yy-axis to create point Q'Q ′ . What ordered pair describes the location of Q'?Q ′ ?
The ordered pair that describes the location of Q' is (-3, -1)
How to determine the ordered pair that describes the location of Q?From the question, we have the following parameters that can be used in our computation:
Point Q = (3, -1)
This point can be represented as
(x, y) = (3, -1)
Also, from the question, we have the transformation to be:
Point Q is reflected over the y-axis
Mathematically, this can be expressed as
(x, y) = (-x, y)
So, we have the following representation
Point Q' = (-3, -1)
Hence, the image is (-3, -1)
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what is 6 plues 9 i need it plesae.
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