Point (2,10) is not satisfying the linear function y = 10x + 3 thus it will be not the solution of the system of equations.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given point (2,10)
Put it into y = x + 8
10 = 2 + 10 = 10 (satisfy)
Put it into y = 10x + 3
10 = 10 x 2 + 3 = 23 ≠ 10 (Not satisfy)
Hence "Point (2,10) will not be the system of equations' solution since it does not fulfill the linear function y = 10x + 3".
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1.2.12 m18 inC3.4.35 km5.6.15.6 cm7 mm
The required solution is the circumference of the circle for the given radius or diameter
The formula for the circumference of a circle with radius r is :
\(C\text{ = 2 }\pi\text{ r}\)The formula for the circumference of a circle with diameter d is:
\(C\text{ = }\pi\text{ d}\)For the first circle with a radius of 12m:
\(\text{Circumference = 2}\times\text{ }\pi\text{ }\times\text{ 12 = 24}\pi\)For the second circle with a diameter of 18in :
\(C\text{ = }\pi\text{ }\times\text{ 18 = 18}\pi\)For the third circle with a radius of 2.8ft:
\(\begin{gathered} C\text{ = 2 }\times\text{ }\pi\times\text{ 2.8 } \\ =\text{ 5.6}\pi \end{gathered}\)For the fourth circle with a diameter of 35km:
\(\begin{gathered} C\text{ = }\pi\text{ d} \\ =\text{ }\pi\text{ }\times\text{ 35 = 35}\pi \end{gathered}\)For the fifth circle with a radius of 7mm:
\(\begin{gathered} C\text{ = 2 }\times\pi\times\text{ r} \\ =\text{ 2 }\times\text{ }\pi\text{ }\times\text{ 7} \\ =\text{ 14}\pi \end{gathered}\)For the sixth circle with a radius of 15.6 cm:
\(\begin{gathered} C\text{ = 2}\pi r \\ =\text{ 2 }\times\text{ }\pi\text{ }\times\text{ 15.6 } \\ =\text{ 31.2 }\pi \end{gathered}\)Note: Circumference has a unit. It's unit depends on the unit of the radius/ diameter
Find the x- and y -intercepts of the graph of the linear equation -6x+9y=-18 .
The x -intercept is
.
The y -intercept is
.
Answer:
The x -intercept is (3, 0)
The y -intercept is (0, - 2)
Step-by-step explanation:
Given equation is: -6x + 9y = -18
To find x - intercept:
Plug y = 0 in the given equation.
-6x + 9(0) = - 18
-6x + 0 = -18
-6x = - 18
x = (-18)/(-6)
x = 3
The x -intercept is (3, 0)
To find y - intercept:
Plug x = 0 in the given equation.
-6(0) + 9y= - 18
0 + 9y = -18
9y = - 18
y = (-18)/(9)
y = - 2
The y -intercept is (0, - 2)
The following statement is a good definition of...
Answer:
It is not converse since converse is if q, then p in a conditional statement. So I will say that is a truth table
PLEASE SOMEONE HELP ME ILL MARK BRAINLESS AND PLEASE EXPLAIN AHHHH HELP
Answer:
angle 2 is 92 degree
Step-by-step explanation:
-8x + 144 = 2x + 74 (being alternate exterior angles)
-8x - 2x = 74 - 144
-10x = -70
x = -70/-10
x = 7 degree
2x + 74 + angle 2 = 180 degree (being linear pair)
2*7 + 74 + angle 2 = 180
14 + 74 + angle 2 = 180
88 + angle 2 = 180
angle 2 = 180 - 88
angle 2 = 92 degree
Answer:
92
MARK ME BRAINLIEST THANKS MY ANSWER PLEASE DO
Which value of y makes the equation y/9=12 true
Answer:
108
Step-by-step explanation:
9 times 12 is 108
CAN SOMEONE SHOW FULL STEPS PLEASEE I BEG YOU ??
Step-by-step explanation:
slope is the number before x so slope here is 3/1 always add the 1 if its a whole number if its a fraction leave it.
y=mx+b
the y-intercept is always be so graphing is now easy
put a dot on the y-intercept so in this case it is 3 on the y-axis. then use rise over run. rise being up and down and run being left and right. so go up 3 then right 1 and put a dot there and connect your 2 lines to make a graph. if the number was -3/1 you go down 3 and right one then but thats just hypothetical
now to make a equation for a point you put it in y=mx+b.
please mark me brainliest if this helped
If there are 10 values in a data set, in order from smallest to largest, what is
the median of the data set?
O A. The 6th value
B. The mean of the 4th and 5th values
O C. The mean of the 5th and 6th values
D. The 5th value
Answer:
C. The mean of the 5th and 6th values
Step-by-step explanation:
Since, there are 10 observations which is even number.
Thus the median would be the mean of 5th and 6th observations.
Answer:
C. The mean of the 5th and 6th values
Step-by-step explanation:
these are the first five terms in a Fibonacci sequence.
1 5 6 11 17
Write down the next two terms in the sequence.
Answer: 28 and 45
Step-by-step explanation: you add 11 and 17 to get 28 and then add 28 and 17 to get 45
How do I solve 5(24,500)+4b+3(10,100)=$210,400
Answer:
use a calculator
Step-by-step explanation:
What is the missing value in the table?
Answer:
A) 15
Step-by-step explanation:
45-(6*5)=15
2a+c=162.97
how do you use the elimination method for this
When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation
To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.
The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.
In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':
2a + c = 162.97
Rearrange the equation to isolate 'c':
c = 162.97 - 2a
Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.
For example, let's say we choose 'a' = 10:
c = 162.97 - 2(10)
c = 162.97 - 20
c = 142.97
So, when 'a' is 10, 'c' is approximately 142.97.
You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.
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--0.5x – 3 = 4 anybody know the awnser what does x =
Answer:
- 14
Step-by-step explanation:
Step 1:
- 0.5x - 3 = 4 Equation
Step 2:
- 0.5x = 7 Add 3 on both sides
Step 3:
x = 7 ÷ - 0.5 Divide
Answer:
x = - 14
Hope This Helps :)
What are all of the zeros in this equation?
x³ - 2x² + x = 0
x(x² - 2x + 1) = 0
x(x - 1)² = 0
x = 0 or x - 1 = 0
x = 0 or x = 1
Please help!!!! It’s urgent
Which of the following rational functions is graphed below?
-10
10-
-10
1
A. F(x) = 1/x(x+3)
B. F(x)= x/x+3
C. F(x)= 3/x
D. F(x)= 1/x(x-3)
Answer:
the answer is D. F(x) = 1/x(x-3)
Step-by-step explanation:
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, -0.75); f(x) = x2 - x + 1
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = -x2 + x
Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + 2x + 1
Graph of the question is missing so I have attached it
Answer:
Option A: Axis of symmetry: x = -0.5; Vertex: (-0.5, 0.75); f(x) = x2 + x + 1
Step-by-step explanation:
1) The axis of symmetry of quadratic graph is the vertical line that divides the graph curve into two congruent halves. In this case, it is: x = -0.5
2) Vertex is the point at which the graph curve changes direction or simply coordinates of the crest or trough of the curve.
The graph given has a trough with the coordinates: x = -0.5, y = 0.75. This is (-0.5, 0.75)
3) The roots of a quadratic equation are the points where the curve crosses the x-axis. In this case, it doesn't cross and so we have imaginary roots.
Now, formula for line of symmetry is; x = -b/2a
Thus; -b/2a = -0.5 or -b/2a = -1/2
Thus, b = 1 and a = 1
Our first and second terms will now be;
x² + x
Looking at the options, the only one with x² + x as it's first 2 terms is option A.
Thus, the complete equation will be x² + x + 1
At time t = 0, water begins to drip out of a pipe
nto an empty bucket. After 56 minutes, 8 inches
of water are in the bucket. What linear function
n the form y = mx + b represents the amount of
water in inches, w, in the bucket after t minutes?
Step-by-step explanation:
w = t/7
at the beginning we 0 inches of water.
after 56 minutes we have 8 inches of water.
that is a ratio of 56 minutes / 8 inches = 7/1 = 1 / 1/7.
so, in 1 minute we get 1/7 inch of water.
in 2 minutes 2×1/7 = 2/7.
in 3 minutes 3×1/7 = 3/7.
...
hence the equation.
Answer:
y = t/7Step-by-step explanation:
GivenStart time t = 0,Start level y = 0,Level of y = 8 in after t = 56 minSolutionFind the value of m and b in the equation y = mx + b.
The value of b = 0, since there is no level in the bucket initially.
Find the value of m, the slope:
8 = 56m,m = 8/56m = 1/7So the equation is:
y = (1/7)t + 0or
y = t/7A student in a foreign language program learns 15 new words each week. Which graph best represents the relationship between x, the number of weeks the student has been in the program and y, the total number of new words the student has learned
Linear equations are represented by straight line.
The required graph is graph (a).
The given parameters are:
\(\mathbf{Rate =15}\)
Let x represents the number of weeks, and y represents the number of words in week x.
So, we have:
\(\mathbf{y = Rate \times x}\)
Substitute 15 for Rate
\(\mathbf{y = 15\times x}\)
\(\mathbf{y = 15x}\)
The above equation means that:
\(\mathbf{(x,y) = (0,0)(1,15),(2,30)....}\)
The graph that represents the above ordered pair is graph (a).
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Answer:
im lost
Step-by-step explanation:
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What is the equation in point-slope form of the line passing through (−2, 0) and (2, 8)? (5 points)
a
y = 2(x + 2)
b
y = 2(x − 2)
c
y = −2(x − 2)
d
y = −2(x + 2)
Answer:
A) y=2(x+2)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(8-0)/(2-(-2))
m=8/(2+2)
m=8/4
m=2
y-y1=m(x-x1)
y-0=2(x-(-2))
y=2(x+2)
y=2x+4
how long would it tak to go 75 miles if you can go 45 mph
For his birthday, Zack and three of his friends went to a movie. They each got a ticket for $8.00 and the same snack from the concession stand. If Zack’s mom paid $48 for the group’s tickets and snacks, how much did each snack cost? The equation 4( s +8) = 48 represents the situation when s represents the cost, in dollars, of one snack.
Answer:
Which number is IRRATIONAL? A) √12 B) √36 C) √64 D) √144
Step-by-step explanation:
cual es el mayor comun divisor de 24 , 60 ??????
Answer:
12 es el factor común más grande
Step-by-step explanation:
3/4 = 12/y Find the missing value
3/4 = 12/y
3/4 * y = 12
.25 * y = 12
y = 3
Hope this helps! :)
Of(x) = x² - 6x-1-
Mark thic and return
24
-10-8-8-22-
-8
-8
-10
2
B
8 10 x
What is the axis of symmetry
The axis of symmetry of the function f(x) = x² - 6x-1 is equal to 3.
How to determine the axis of symmetry of a quadratic function?In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:
Axis of symmetry, Xmin = -b/2a
Where:
a and b represents the coefficients of the first and second term in the quadratic function.
By substituting the parameters, we have the following:
Axis of symmetry, Xmin = -b/2a
Axis of symmetry, Xmin = -(-6)/2(1)
Axis of symmetry, Xmin = 6/2
Axis of symmetry, Xmin = 3.
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An airliner carries 300 passengers and has doors with a height of 75 inches heights of men are normally distributed with a mean of 69 inches and a standard deviation of 2.8 inches female passenger is randomly selected find the probability that you can fit through the door way without bending
Complete Question
An airliner carries 300 passengers and has doors with a height of 75 inches. Heights of men are normally distributed with a mean of 69.0 inches and a standard deviation of 2.8 inches. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending. (Round to four decimal places as needed.)
Answer:
0.9839
Step-by-step explanation:
We solve using formula Z score
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
We are to find thethe probability that he can fit through the doorway without bending. This means his height is less than (< ) the height of the doorway(75 inches).
z = 75 - 69/2.8
z = 2.14286
Probability value from Z-Table:
P(x ≤ 75) = P(x = 75) = P(x < 75)
= 0.98394
Approximately ≈ 0.9839
Bandhan Bank employee salary after 10 years
Answer:
- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries
Plot the value of 8 x 1/2 on the number line shown.
Step 1: Firstly, simplify the expression
\(\begin{gathered} 8\text{ }\times\text{ }\frac{1}{2} \\ =\text{ }\frac{8\text{ x 1}}{2} \\ =\text{ }\frac{8}{2} \\ =\text{ 4} \end{gathered}\)Step 2: The value may be less than or greater than 4.
Positive numbers are plotted to the right of the origin while negative numbers are plotted to the left of the origin.
Step 3: Plot the number line
Circle X is shown in the diagram.
Circle X is shown. 2 chords intersect at a point to form arcs a and b. Arc a is intercepted by angle 1. Arc b is intercepted by angle 2. Arcs d and c are the other 2 arcs.
Which equation can be used to solve for m∠1?
m∠1 = One-half(a – b)
m∠1 = One-half(a + b)
m∠1 = One-half(c – d)
m∠1 = One-half(c + d)
Answer:
The equation that can be used to solve for m∠1 is:
m∠1 = One-half(a – b)
This is because angle 1 intercepts arc a, which has a measure of a. By the same token, angle 2 intercepts arc b, which has a measure of b. The sum of the measures of angles 1 and 2 is equal to the measure of the angle formed by the two intersecting chords, which is one-half the sum of the measures of arcs a and b. Therefore, we have:
m∠1 + m∠2 = One-half(a + b)
Since m∠2 is not given, we cannot solve for m∠1 using this equation. However, we can use the fact that the sum of the measures of the angles in a triangle is 180 degrees to get:
m∠1 + m∠2 + m∠3 = 180
where m∠3 is the measure of the angle formed by the two chords outside the circle. Since this angle is supplementary to angle 1, we have:
m∠1 + m∠3 = 180
Substituting the equation for the sum of the measures of angles 1 and 2, we get:
m∠1 + One-half(a + b) = 180
Solving for m∠1, we get:
m∠1 = 180 - One-half(a + b) = One-half(360 - a - b) = One-half(a - b)
this is one of my homework questions and if possible please help, I do some of it to a certain point but then get stuck. if im correct, the right choice is sin with a degree but I need some guidance. Thank you!
Given the expression:
\(2\sin 67.5\degree\cos 67.5\degree\)The angle of the sine and the cosine is the same angle = 67.5°
The given expression is the same as the rule of the sine of the double angle
Where:
\(2\sin \theta\cos \theta=\sin (2\theta)\)so, we will use the sine double-angle to solve the question
So, the answer will be:
\(\sin (2\cdot67.5\degree)=\sin 135\degree\)So, the answer will be option B) sin 135°
What numbers are missing from the pattern below? Enter your answer, using
a comma to separate each number.
57, 53, 49, 45, ?, ?, ?, ?, 25, 21, 17, 13
Answer here
The numbers that are missing from the pattern are 41, 37, 33, and 29
How to determine the numbers that are missing from the patternFrom the question, we have the following parameters that can be used in our computation:
57, 53, 49, 45, ?, ?, ?, ?, 25, 21, 17, 13
The above pattern is an arithmetic pattern that has the following features
First term = 57
Common difference = 4
using the above as a guide, we have the following:
Next term = 45 - 4 = 41
Next term = 41 - 4 = 37
Next term = 37 - 4 = 33
Next term = 33 - 4 = 29
Hence, the numbers that are missing from the pattern are 41, 37, 33, and 29
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Marina spent $13.50 at the grocery store. She bought pears,
kiwis, and pineapples. Pears cost $0.50 each, pineapples cost
$1.50 each, and kiwis are $0.30 each. How many of each kind of
fruit did she buy if she bought 9 more pears than pineapples and
2 fewer kiwis than pears?
Answer:
Step-by-step explanation:
First we are going to set up our general equation (what is being asked of us). Marina bought pears, pineapples, and kiwis and spent $13.50 on them. The equation for that is
pi + pe + k = 13.5
Now we need to figure out how to eliminate most of those unknowns and put 2 of them in terms of the other 1. It looks like everything is based on the number of pineapples she bought. First it says she bought 9 more pears than pineapples, so obviously, there are more pears than pineapple, so
pe = pi + 9
And if she bought 2 fewer than kiwis thatn pears, and pears = pi + 9, then the number of kiwis she bought was
kiwis = (pi + 9) - 2 which simplifies down to pi + 7.
Now we'll put all of those into the equation:
pi + (pi + 9) + (pi + 7) = 13.5 What I have done is create an equation that is not parallel. In other words, I have the NUMBER of the kinds of fruit on one side of the equation, and the COST of the fruit on the other side, and that's not cool. We have to have EITHER a NUMBER of fruit equation OR a COST of fruit equation, but not both in the same equation. To amend that, we will figure in the cost of each of these kinds of fruit by the correcpsonding number of that kind of fruit. Pineapples cost $1.50 each, so the expression for pineapples is 1.5pi; pears cost $.50 each, so the expression for pears is.5(pi + 9); kiwis cost $.30 each, so the expression for kiwis is .3(pi + 7). NOW we can set up the equation:
1.5pi + .5(pi + 9) + .3(pi + 7) = 13.5 and simplify:
1.5pi + .5pi + 4.5 + .3pi + 2.1 = 13.5 and simplify some more by combining like terms:
2.3pi = 6.9 so
pi = 3. Ok we have 3 pineapples. Now we go back up to the expression for pears:
pe = pi + 9 so
pears = 12. Now we go back to the expression for kiwis:
k = pi + 7 so
kiwis = 10. And there you go!