The intersection point on the graph has an approximate x-value of 1a.
Describe graphs?Making the curve that represents a function on a coordinate plane is the process of graphing a function. If the curve (or graph) represents the function, then each point on the curve will satisfy the function equation.
The line, also called the "curve," has a point at each point that fulfils the function.
The three lines are contemporaneous if they all cross at the same point.
From the second equation,
x = 8y + 19
Putting value of x,
2(8y + 19) + 3y = 0 9(8y + 19) + 5y = 17
16y + 38 + 3y = 0 72y + 171 + 5y = 17
19y = -38 77y = -154
y = -2 y = -2
You'll see that the y value for the answer is the same for the two equations. Simply evaluate the second equation now to find x. Hence, we are aware that the y-coordinate is negative two at some x number.
x = 8(-2) + 19
x = -16 + 19
x = 3
The single point that these three equations share is (3, -2).
4x - 3y = 13 eq1
-6x + 2y = -7 eq2
Use the elimination method. Multiply eq1 by eq2 and multiply eq2 by eq3.
8x - 6y = 26 eq1
-18 + 6y = -21 eq2
Adding the equations to eliminate the y terms.
-10x = 5
x = -1/2
Substituting this value of x into any of the equations to solve for the value of y.
Substituting the first equation into the second equation. In terms of x, this will translate the second equation. From that freshly created equation, find x. Once you solved for x, substitute that value of x into the first equation to solve for y.
You have a vertical line that passes all points that have the x coordinate 7 and you have a horizontal line that passes all point that have the y coordinate -5.
If you were to graph these two lines, they will be intersecting at (7, -5).
Now, draw the following lines on a coordinate system:
i) A vertical line passing through the points (3, 0).
ii) A horizontal line passing through the point (0, 6).
iii) A line passing through the points (0,0) and (1, -3).
Once you have drawn these lines, look for 3 points of intersection.
Area = (base × height) / 2
Lines that have the same slope never intersect. Put both equations in y=mx+b form where the slope is the coefficient of x.
2x + 3y = > 3y = -2x + 23
y = (-2 / 3) x + 23/3
7x + py = 8
py = -7x + 8
y = (-7 / p) x + 8/p
Set the slopes equal to each other.
-2 / 3 = -7 / p
Cross-multiply.
-2p = -21
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Math question 5 help
Can some one help me with dis math
Answer:
Step-by-step explanation:
c
Answer:E
Step-by-step explanation:
Calculate the expected value of the scenario.
xi P(xi)
11 0.24
22 0.31
33 0.01
44 0.15
55 0.29
The expected value of this scenario is 4.19.
The Expected value (EV), which is based on a random variable's probability distribution, describes the long-term average level of that variable. The expected value of a stock or other investment is a crucial factor in investing and is taken into account while performing scenario analysis.
To calculate the expected value, we need to multiply each outcome xi by its respective probability P(xi), and then add up all of these products. So, we have:
Expected value = 1(0.24) + 2(0.22) + 3(0.31) + 4(0.01) + 5(0.16) + 6(0.29)
Expected value = 0.24 + 0.44 + 0.93 + 0.04 + 0.80 + 1.74
Expected value = 4.19
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For each of the following, find the formula for an
exponential function that passes through the two points
given.
a. (0,4) and (2,64)
f(x)=?
b. (0,810) and (2,10)
g(x)=?
The formula for an exponential function that passes through the two points are
a. (0,4) and (2,64)
f(x)= 4(4ˣ)
b. (0,810) and (2,10)
g(x)=810(1/9)ˣ
The following is the formula for an exponential function that traverses two points:
f(x) = abˣ
Where a is the initial value and b is the growth rate.
To find the formula for an exponential function that passes through the two points given, we can plug in the values of x and y into the formula and solve for a and b.
For the first set of points, (0,4) and (2,64), we can plug in the values of x and y into the formula and solve for a and b:
4 = ab⁰
64 = ab²
Simplifying the first equation gives us:
a = 4
Substituting this value of a into the second equation gives us:
64 = 4b²
Solving for b gives us:
b = √(64/4) = 4
Therefore, the formula for the exponential function that passes through the two points (0,4) and (2,64) is:
f(x) = 4(4ˣ)
For the second set of points, (0,810) and (2,10), we can plug in the values of x and y into the formula and solve for a and b:
810 = ab⁰
10 = ab²
Simplifying the first equation gives us:
a = 810
Substituting this value of a into the second equation gives us:
10 = 810b²
Solving for b gives us:
b = √(10/810) = 1/9
Therefore, the formula for the exponential function that passes through the two points (0,810) and (2,10) is:
g(x) = 810(1/9)ˣ
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Solve Show all steps
(x^3/2)^6/5 =x^a
[tex](x^{3/2} )^{6/5}[/tex]
= [tex]x^{9/5}[/tex]
The value of a after solving through exponents = 9/5
What are exponents?The way of representing huge numbers in terms of powers is known as an exponent. The number of times a number has been multiplied by itself is the exponent, so to speak.
For instance, the result of multiplying the number 6 by itself four times is:
6 × 6 × 6 × 6. You can write this as
Now here,
[tex](x^{3/2} )^{6/5}[/tex]
= [tex]x^{9/5}[/tex]
Therefore, the value of a = 9/5.
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Arrange these in descending order
0. 68
0. 5
0. 345
0. 99
An architect is designing a covered bridge to be placed over a ravine. In the diagram BF and BG represent the sides of the ravina, FIG represents the road surface of the bridge, and AC represents the of covering the bridge. Would these
urements ensure the roof is parallel to the road of the bridge? Explain
Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.
what is parallel ?Two or more lines, dotted lines, or planes that remain the same distance apart and never cross, even if they are extended indefinitely in both directions, are referred to as parallel in mathematics. The sign "||" stands for parallel lines. There are many significant characteristics of parallel lines. The fact that a transversal line—a line that crosses two or more parallel lines—always forms equal angles is among the most significant.
given
If two lines are drawn, one from the highest spot on the roof to the surface and the other from the lowest point, they must be parallel to one another. Those lines must also be parallel to one another if we sketch one from the leftmost point on the roof to the surface and another from the rightmost point on the roof to the surface.
Therefore, it would be necessary to take the measurements in a manner that would guarantee that these requirements are met.
To ensure that the measurements are precise and that the roof is built at the right angle to be parallel to the road, this may require using a level or other instruments.
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In triangle ABC, Angle C is a right angle. Find the value of the trig function. Find the Tan A if c=7√10 and a=21
Answer:
tan A= 8/15
draw triangle where A and B are legs and C is hypotenuse
A=8 and C=17, meaning that you need to find B by using Pythagorean theorem (a^2+b^2=c^2)
8^2+b^2=17^2
64+b^2=289
b^2=225
b=15
tan= opposite/adjacent
tan A=8/15
If the constant of variation is 12 and y = 36 and they vary directly, what does x equal?
If the constant of variation is 12 and y = 36 and they vary directly, then x equals 3.
Direct variation is when two quantities, x and y, are related in such a way that the ratio of their values is always the same. This means that y = kx, where k is the constant of variation.
In this case, we are given that k = 12 and y = 36. We can plug these values into the equation to find x:
36 = 12x
To solve for x, we can divide both sides of the equation by 12:
36/12 = 12x/12
This simplifies to:
3 = x
Therefore, x equals 3.
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HELP!!!!!!!!!!!!!!!!!!!!
The value of m and n is 5√2 and 5 respectively.
What is Pythagoras' theorem?The hypotenuse side of a right-angled triangle's square is equal to the sum of the squares of its other two sides, according to Pythagoras' Theorem.
A right-angled triangle.
A 45° angle is found in a triangle.
The triangle is therefore a right-angled isosceles triangle.
Hence, n = 5.
To find m:
Apply Pythagoras' theorem,
m = √{n² + 5²}
m = √(25 + 25)
m = √50
m = 5√2
Therefore, m = 5√2.
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HELP PLEASE THIS IS SOO HAARD!!!!!!!!
If a car is going at 75 mph, how far would you get in one hour?
Answer: 75
Step-by-step explanation:
MPH stands for Miles per hour
So the car drives 75 miles per hour
PLEAAAASEEEE HELPP!!!!!!!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!
1. The y-intercept of y = -3/2x - 4, is -4, which would be marked at y = -4 on the y-axis.
2. The slope (m) = 3; y-intercept (b) = -86;
The equation for the situation is: y = 3x - 86
3. Median of class A = 40; Median of class B = 8
The difference is: 32
What is the Y-intercept of a Linear Equation?In a linear equation, the y-intercept is the point at which the graph of the equation intersects the y-axis. It is the value of y when x is equal to zero.
1. The y-intercept of the equation, y = -3/2x - 4, is -4. This means the y-intercept on the graph would be at when y = -4 on the y-axis.
2. The slope (m) = unit rate = 3 degrees every hour
The starting value = y-intercept (b) of the situation = -86
To write an equation for the situation substitute m = 3 and b = -86 into y = mx + b:
y = 3x - 86
3. Median is the middle value of a data set, therefore:
Median of class A = 40
Median of class B = 8
The difference between the medians of the class = 40 - 8 = 32
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The solids are similar. Find the missing dimension.
d
12ft.
8in.
3ft.
Answer:
32 in
Step-by-step explanation:
You want the missing diameter of the smaller of two similar cylinders, where the larger is 12 ft in diameter and 3 ft high, while the smaller is 8 inches high.
Similar figuresThe linear dimensions of similar figures have the same ratio.
The ratio of the diameter to the height of the larger figure is ...
(12 ft)/(3 ft) = 4
The smaller figure will also have a diameter that is 4 times the height:
d = 4 × 8 in = 32 in
The missing dimension is 32 inches.
a pair of pants usually sells at 500.00 during a sale , it is being sold at a 40% discount how much is the discount?how much will u pay for a pair of pants during the sale?
Subtract. (7)/(12vx^(2))-(3)/(8v^(2)x) Simplify your answer as much as possible.
Subtracting the expression (3)/(8v²x) from the expression (7)/(12vx²) will result to the expression (14v - 9x)/(24v²x²).
To subtract the two fractions, we need to find a common denominator. The least common denominator (LCD) is the least common multiple of the denominators of two or more fractions, and it is used to find a common denominator so that we can perform operations on them. The LCD of 12vx² and 8v²x is 24v²x². We can then multiply each fraction by the LCD to get the same denominator and subtract the numerators.
(7)/(12vx²) x (24v²x²)/(24v²x²) - (3)/(8v²x) x (24v²x²)/(24v²x²) = (14v)/(24v²x²) - (9x)/(24v²x²) = (14v - 9x)/(24v²x²)
So the simplified answer is (14v - 9x)/(24v²x²).
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Caleb needs to place a ground cover
under a tent. The floor of the tent measures 82 feet by 92 feet.
He purchases a ground cover that states that it covers 90 square
feet. Will the ground cover be able to be used under the tent?
Explain your reasoning.
One cover is not enough to cover tent, Caleb will need at least 84 ground covers to cover the entire floor of the tent.
How to find the Cover area of the tent?To determine if the ground cover will be sufficient, we need to calculate the area of the tent floor and compare it with the area covered by the ground cover.
The area of the tent floor is:
82 feet x 92 feet = 7544 square feet
The area covered by one ground cover is:
90 square feet
To determine the number of ground covers needed to cover the tent floor, we can divide the area of the tent floor by the area covered by each ground cover:
7544 square feet ÷ 90 square feet ≈ 84
Therefore, Caleb will need at least 84 ground covers to cover the entire floor of the tent. As the number of ground covers required is greater than one, we can conclude that the ground cover will be able to be used under the tent.
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solve this
please i need help with this
Answer:
45
Step-by-step explanation:
You want the area of triangle RST using the area formula A=1/2bh, given the points R(-2, 7), S(-5, 1), and T(7, -5).
Side lengthsA plot of the points is shown in the first attachment. By counting grid squares, you can see that segment RS has a "rise" of 2 grid squares for each 1 to the right. The total (run, rise) is ...
R -S = (-2, 7) -(-5, 1) = (-2 +5, 7 -1) = (3, 6)
The length of RS is found using the Pythagorean theorem (distance formula). It is ...
RS = √(3² +6²) = √45 = 3√5
Similarly the length of segment ST is ...
T -S = (7, -5) -(-5, 1) = (7 +5, -5 -1) = (12, -6)
ST = √(12² +(-6)²) = √180 = 6√5
SlopesWe note that the slopes of these segments are opposite inverses of each other:
slope RS = 6/3 = 2
slope ST = -6/12 = -1/2
This means the segments are at right angles. One of them can be considered to be the "base" and the other the "height" of the triangle.
AreaUsing the area formula, we find the area to be ...
A = 1/2bh
A = 1/2(6√5)(3√5) = (1/2·6·3)(√(5·5)) = 9·5 = 45
The area of ∆RST is 45 square units.
__
Alternate solution
When the coordinates of a polygon are given, there are several other ways to find its area. One of these is illustrated in the second attachment.
The method illustrated here computes successive "determinants", then finds the area as half the absolute value of their sum. (The sign of the sum will depend on the order in which the points are listed around the figure. Here, it is counterclockwise.) As you can see, we get the same result. You can also see that a spreadsheet is useful for doing the repetitive math.
Area ∆RST = 45 square units
__
Additional comment
The distance formula for the length of the segment between two points is ...
d = √((x2-x1)² +(y2-y1)²)
Above, we calculated the differences (x2-x1, y2-y1) separately, then used the "root sum squares" formula for the distance. This has the advantage that (y2-y1)/(x2-x1) is the slope of the segment, and we needed to make sure the segments were perpendicular.
The table for the quadratic functions f(x) and g(x) are given.
x f(x) g(x)
−6 36 4
−3 9 1
0 0 0
3 9 1
6 36 4
Determine the type of transformation and the value of k.
1. g(x) = 3f(x)
2. g(x) = f(3x)
3. g of x equals one third times f of x
4. g of x equals f of one third times x
The value of k is 1, which is the value of g(x) (and f(x)) when x = -3 or x = 3.
We can determine the type of transformation and the value of k for each of the aforementioned functions using the tables provided for f(x) and g(x).
g(x) = 3f(x) (x)
Here, there occurs a vertical stretch/compression transformation. The function g(x) is a three-fold vertical expansion or contraction of f(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(3x) (3x)
Here, there occurs a horizontal stretch/compression transformation. A horizontal stretch or compression of f(x) by a factor of 1/3 results in the function g(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
g(x) = (1/3)f(x) (x)
Here, there occurs a vertical stretch/compression transformation. A vertical stretch or compression of f(x) by a factor of 1/3 results in the function g(x). G(x) has a value of 4, which is identical to the value of k, whether x = -6 or = 6.
g(x) = f(x/3)
Here, there occurs a horizontal stretch/compression transformation. The function g(x) is a three-fold horizontal stretching or compression of f(x). When x = -3 or x = 3, the value of k is 1, which is also the value of g(x) and f(x).
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Annabel sent 39 text messages to her brother during the last 13 days. How many text messages did she send her brother each day if she sent him the same number of text messages each day?
Answer: 3
Step-by-step explanation:
39 divided by 13 is equal to 3
there are 39 days, and if you divide it by how many days (13), you would get how many messages were sent each day which is 3
Well It’s Really Simple You’ve Could Have A Calculator. 52 Fifty- Two
Match the cylinder in the left column with its surface area in the right column
Show work please!! I need this ASAP
The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively
What is an equation?An equation is an expression that shows the relationship between numbers and variables using mathematical operators such as addition, subtraction, exponent, multiplication and division.
The surface area of a cylinder is:
Surface area = 2πr(r + h)
where r is the radius and h is the height
1) r = 5 in., h = 11 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(5)(5 + 11) = 502.4 in²
2) r = 6 in., h = 10 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(6)(6 + 10) = 602.88 in²
3) r = 2 in., h = 12 in. and π = 3.14, hence:
Surface area = 2πr(r + h) = 2(3.14)(2)(2 + 12) = 175.84 in²
The surface area of the cylinder is 502.4 in², 602.88 in² and 175.84 in² respectively
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What is the product of (−2)(18)(−8)?
Pls do this
Answer:
288
Step-by-step explanation:
-2 x -8 =16
16 x 18 = 288
Answer:
288
is the answer
Step-by-step explanation:
please mark brainiest
Solve each system of equations by substitution. Clearly identify your solution.
y=3x+19
y=5x+33
Answer:
(x, y) = (-7, -2).
Step-by-step explanation:
To solve the system of equations:
y = 3x + 19
y = 5x + 33
We can use the substitution method, which involves solving one equation for one variable and substituting that expression into the other equation. Then we can solve for the remaining variable.
From the first equation, we can solve for y in terms of x:
y = 3x + 19
From the second equation, we can solve for y in terms of x:
y = 5x + 33
Now we can substitute the expression for y from the first equation into the second equation:
3x + 19 = 5x + 33
Simplifying this equation by subtracting 3x from both sides:
19 = 2x + 33
Subtracting 33 from both sides:
-14 = 2x
Dividing both sides by 2:
x = -7
Now that we have the value of x, we can substitute it back into either equation to find the value of y:
y = 3x + 19
y = 3(-7) + 19
y = -21 + 19
y = -2
The solution to the system of equations is (x, y) = (-7, -2).
(a)Let Q be the quotient of the ring R=Z*Z by the ideal I= 2Z*2Z.
What is Q four elements?
(b) Use the Fundamental Homomorphism Theorem to show Q is
equivalent to Z2*Z2?
By the Fundamental Homomorphism Theorem, Q is isomorphic to Z2*Z2.
a) Q is the quotient ring R/I, which has four elements: [0]_I, [1]_I, [2]_I, and [3]_I. Here, [x]_I is the equivalence class of x in R/I.
b) Using the Fundamental Homomorphism Theorem, we can show that Q is equivalent to Z2*Z2. Since I is a normal subring of R, the quotient ring Q can be written as Q = R/I. Then the homomorphism defined by φ: R → Z2*Z2, where φ(r) = (r mod 2, r mod 2) is onto and I is the kernel of φ. Thus, by the Fundamental Homomorphism Theorem, Q is isomorphic to Z2*Z2.
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a ice cream truck driver figured out that the number of ratio of vanilla to chocolate ice cream cones sold was 5 to 2 if 125 vanilla cones were sold how many chocolate cones were sold?
Answer: 50 chocolate cones
Step-by-step explanation: if 5 is 125 vanilla then 125/5= 25 so every 1=25 and that means 2*25= 50
Answer:
50. There were 50 chocolate cones sold.
Step-by-step explanation:
so we do it like this: see the attachment for the work i did to solve
*Baige=Vanilla*
*brown=chocolate*
when you cross multiply you get 50
0.12x= 1 I need help on this please
Answer:
x=8.3 recurring
Step-by-step explanation:
1÷0.12=8.3 recurring
x=8.3 recurring
or as a fraction 8 1/3
James spent 2/5 of his pocket money on snacks and 1/4 of the remaining amount on snacks a) Calculate the fraction of his pocket money spent on snacks. b)calculate his pocket money if he still has$9.00 left
Answer: about 26.00
Step-by-step explanation:
The sum of two number is 40. The larger number is 8 more than the smaller number. What are the numbers?
Answer:
16 + 24
Step-by-step explanation:
Someone please help me with this I got 0 clue what I'm doing with it
Answer:
3rd choice down
f(x) = -1/2x + 8
Step-by-step explanation:
find the slope of the line using the 2 given points:
slope = m = (8-14) / (0--12) = -6/12 = -1/2
read the y intercept right off the graph at point (0,8):
b = 8
f(x) = mx + b = -1/2x + 8
A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF
Answer:
/AC/=10.2
Mark as brainliest
estimate the product of 3.8 and 11.9 by rounding
The product or multiple of 3.8 and 11.9 by rounding off (simplification) is equal to 45.22.
What is simplification in mathematics?Simplification means keeping it simple. In mathematics, it simplifies or simplifies formulas/fractions/problems into simpler forms. Simplify the problem with calculations and solutions.
Simplification generally means finding answers to complex calculations involving division, multiplication, square roots, cube roots, plus and minus numbers.
Why do we use simplification?Simplicity complicates deadpan, making it easier to understand and solve. Here are some advantages of solving a problem or equation by simplification.
It helps you solve your problem in fewer steps. Complex problems can be reduced to simpler forms by following the rules of simplification
According to the question:
3.8×11.9 = (38/10)×(119/10)
= 4522/100
= 45.22
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