If x and y satisfy both 9x+2y=8 and 7x+2y=4, then y=?
Answer:
The value of y is -5
Step-by-step explanation:
we have
[tex]9x+2y=8[/tex] ------> equation A
[tex]7x+2y=4[/tex] ------> equation B
we know that
If x and y satisfy both equations, then (x,y) is the solution of the system of equations
Using a graphing tool
Remember that
The solution of the systems of equations is the intersection point both graphs
The intersection point is (2,-5)
therefore
The solution of the system of equations is the point (2,-5)
The value of y is -5
To find the value of y in the given system of equations, we can use the method of substitution.
Explanation:To find the value of y in the system of equations 9x + 2y = 8 and 7x + 2y = 4, we can use the method of substitution. First, we solve one equation for one variable and substitute the expression into the other equation. In this case, we can solve the second equation for y: 7x + 2y = 4, y = (4 - 7x)/2. Now substitute this expression for y in the first equation: 9x + 2((4 - 7x)/2) = 8. Simplify and solve for x. Once we have the value of x, we can substitute it back into the second equation to find y.
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Yolanda tossed a coin 15 times. The results were 9 heads and 6 tails. Determine the experimental probability of tossing tails.
The experimental probability of tossing tails in the given scenario is 0.4 or 40%, which is determined by dividing the number of tails (6) by the total number of tosses (15).
Explanation:The student is asking to determine the experimental probability of tossing tails when a coin was tossed 15 times and resulted in 9 heads and 6 tails. Experimental probability is calculated by dividing the number of times an event occurs by the total number of trials. In this case, the coin landed as tails 6 times out of 15 tosses.
To find the experimental probability of tossing tails, use the formula:
Experimental Probability of Tails = Number of Tails / Total Number of Tosses
So, it would be:
Experimental Probability of Tails = 6 / 15
Experimental Probability of Tails = 0.4 or 40%
multiply and simplify (x+3) squared
Answer:
[tex]\large\boxed{(x+3)^2=x^2+6x+9}[/tex]
Step-by-step explanation:
Use the FOIL: (a + b)(c + d) = ac + ad + bc + bd
[tex](x+3)^2=(x+3)(x+3)\\\\=(x)(x)+(x)(3)+(3)(x)+(3)(3)\\\\=x^2+3x+3x+9\qquad\text{combine like terms}\\\\=x^2+(3x+3x)+9\\\\=x^2+6x+9[/tex]
You can use
[tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex](x+3)^2=x^2+2(x)(3)+3^2=x^2+6x+9[/tex]
05.05)The coordinates below are the three vertices of a rectangle. Identify the fourth coordinate and the area of the rectangle. A coordinate plane with the following points A at negative 2, 2; B at negative 2, negative 4; and C at 2, negative 4.
Answer:
the other one is (2, 2)
the area is 24
Step-by-step explanation:
A = (2+2)(2+4) = 24
What is the decimal representation of seven hundredths
Answer:
0.07
.7 is 7 tenths or 70 hundredths
.07 is 7 hundredths
what is the y- value of the intersection y=2x and y=x^2-3
Answer:
y = - 2 or y = 6
Step-by-step explanation:
Given the 2 equations
y = 2x → (1)
y = x² - 3 → (2)
Substitute y = x² - 3 into (1)
x² - 3 = 2x ( subtract 2x from both sides )
x² - 2x - 3 = 0 ← in standard form
(x - 3)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2 × 3 = 6
x = - 1 : y = 2 × - 1 = - 2
How do you find the circumference or a circle with only a diameter?
To find the circumference of a circle that lists only as a diameter, you would do pi*d so lets say the diameter is 6, you would do pi*6 which would end up giving you 18.84. I hope this helps a bit! (:
Answer:
pi * d
Step-by-step explanation:
Multiply 3.14 by the Diameter.
Which inequality is equivalent to -x < 8?x < 8 x > 8 x < -8 x > -8
The inequality equivalent to -x < 8 is x > -8.
Option D is the correct answer.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
-x < 8
Interchange < with > and divide both sides by a negative sign.
x > -8
Thus,
x > -8 is equivalent to -x < 8.
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Describe the relationships among the four terms.
Answer:
An angle bisector intersects the middle of an angle and basically cuts it in half equally, leaving 2 parts. The relationship includes an angle having to exist in order to have a bisector. A ray starts at a one point, represented usually by a dot and goes off for ever in a direction whereas a line extends infinitely in both directions.
Step-by-step explanation:
What is the place value of the 9 in the number 31,985?
Answer:
Hundreds
Step-by-step explanation:
Please help with this ASAP! Please give an actual answer and show your work, I want to be able to understand how the problem is done, 35 points thank you very much.
Answer:
The answer would be 60cm.
Step-by-step explanation:
If triangle ABC has a side length of 4 cm and the area is equal to 40, the triangle PQR with a side length of 6 cm would have an area of 60.
Fabian is decorating a triangular pennant for a football game. The pennant has a base of 10 inches and a height of 24 inches. What is the total area of the pennant?
Please help!!!!
Answer: [tex]120in^2[/tex]
Step-by-step explanation:
The formula that is used to calculate the area of a triangle is:
[tex]A_{(triangle)}=\frac{b*h}{2}[/tex]
Where the base of the triangle is b and the height of triangle is h.
If the pennant has a base of 10 inches and a height of 24 inches, you know that:
[tex]b=10in\\h=24in[/tex]
As it is a triangular pennant, you can substitute the values of the base and the value of the height into the formula used to calculate the area of a triangle.
Then, total area of the pennant is:
[tex]A_{(pennant)}=\frac{(10in)(24in)}{2}\\\\A_{(pennant)}=120in^2[/tex]
Vector performed an experiment at a local farm to determine if the addition of bananas to his biomass cow manure recipes helps produce more or less energy. He collected random samples of manure and bananas from the farm, prepared 15 bottles of each of both mixtures, and placed a balloon on top of each bottle. After two weeks he measured the circumference of each ballon in centimeters; the bigger the balloon grew, the more energy that was produced. The results of the experiment are displayed in the box plots below.
What can Vector report to his local Biogas Club about the results of his experiments?
(Need the answer as soon as possible, thank you )
Answer:
About 75% of the time, the mixture of cow manure and mashed bananas IS LIKELY to produce MORE biogas than pure cow manure on THIS local farm.
Step-by-step explanation:
(don't worry I guessed and got it correct)
In his experiment, Vector can report that bananas added to cow manure results in more energy production, as indicated by larger balloon growth. However, "he should mention that other factors may also influence the results".
Explanation:Since the exact data from Vector's experiment isn't provided, I would still be able to draw a generalized conclusion based on the given situation. Vector produced bio-gas from cow manure and bananas, and the growth of balloons served as an indication of energy production. If the balloons corresponding to the banana-mixture bottles grew larger than the manure-only ones, it would imply that adding bananas creates more energy. Increased biogas production can be observed with larger circumference balloons because more gas fills up the balloon, causing it to grow larger. Thus, the experimenting student can report in Biogas Club that using a banana-enhanced biomass recipe for cow manure can potentially increase biogas production. It is, however, crucial to note that various other factors can influence gas production, and it might be beneficial to continue research and experimentation.
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future value = P × (1+ i)t `"present value" = "P" / (1 + i)^"t"` What would be the value of $100 after 10 years if you earn 11 percent interest per year?
Answer: $283.94
Step-by-step explanation:
[tex]A=P(1+r)^t\\\\\bullet P=100\\\bullet r=11\% \implies 0.11\\\bullet t=10\\\\\\A=100(1.11)^{10}\\.\ =283.94[/tex]
Graph the ellipse with equation x squared divided by 16 plus y squared divided by 4 = 1.
Answer:
See attached image.
Step-by-step explanation:
To easily solve this question, we use a graphing tool, or a calculator to plot the graph of the ellipse.
(1/16)*x^2 + (1/4)*y^2 = 1
Please see image below
Answer:
Step-by-step explanation:
How to solve this problem ?
Answer:
By using math skills, lol.
Step-by-step explanation:
Thats easily how you solve the problem..
what is the correct inverse function for f(x)=In(3x)
Answer:
[tex]f^{-1}(x)=\dfrac{e^x}{3},\ x\in(-\infty,\infty),\ y>0[/tex]
Step-by-step explanation:
Consider the function [tex]f(x)=\ln 3x.[/tex] the domain of this function is x>0 and the range of this function is all real numbers. The inverse function has the domain all real numbers and the range y>0.
If
[tex]y=\ln 3x,[/tex]
then
[tex]3x=e^y,\\ \\x=\dfrac{e^{y}}{3}.[/tex]
Change x into y and y into x:
[tex]y=\dfrac{e^x}{3}.[/tex]
Thus, the inverse function is
[tex]f^{-1}(x)=\dfrac{e^x}{3}.[/tex]
ANSWER
[tex]{f}^{ - 1} (x) = \frac{ {e}^{x} }{3} [/tex]
EXPLANATION
The given logarithmic function is
[tex]f(x) = ln(3x) [/tex]
Let
[tex]y = ln(3x) [/tex]
Interchange x and y.
[tex]x = ln(3y) [/tex]
Solve for y.
[tex] {e}^{x} = {e}^{ ln(3y) } [/tex]
[tex] {e}^{x} = 3y[/tex]
Divide both sides by 3.
[tex] \frac{ {e}^{x} }{3} = y[/tex]
Therefore
[tex] {f}^{ - 1} (x) = \frac{ {e}^{x} }{3} [/tex]
You and three friends are comparing the amount of money you have in your bank accounts. You have a balance of -$50, and your friends have balances of $20,
-$10, and $5. Which balance is the least?
Answer:
Step-by-step explanation:
Your balance or -50$
Choose the solution set represented by the following graph.
{x | x R, x < -2}
{x | x R, x > -2}
{x | x R, x ≤ -2}
{x | x R, x ≥ -2}
Answer:
The solution set represented by the following graph is:
{x | x∈ R, x < -2}
Step-by-step explanation:
Clearly from the figure we could see that the solution set is to the left of ' -2' and excluding the point '-2' since there is a open circle at -2.
This means that -2 is not included in the set.
Also in interval; form the set of points that belong to the solution set are:
(-∞,-2)
in set-builder form it is written as:
{x | x∈ R, x < -2}
Answer:
Option A.
Step-by-step explanation:
We need to find the solution set represented by the given graph.
From the given figure it is clear that there is an open circle around -2 and shaded region lie left side of -2.
Open circle around -2 represents that -2 is not included in the solution set.
Shaded area towards left of -2 represents that the solution must be less than -2. It means the sign of inequality is "<".
From the given graph it is clear that value of x lie in the interval (-∞,-2). So, the solution set is
[tex]\text{Solution set}=\{x|x\in R,x<2\}[/tex]
Therefore, the correct option is A.
Can anyone help me, please
Answer:
243
Step-by-step explanation:
Step 1:
Find the volume of each square: do 3/4*3/4*3/4.
Each square's volume is 27/64.
Step 2:
Find the volume of the cube.
Multiply 8*6*12.
8*6*12=576.
Step 3:
Do 576*27/64.
576*27/64=243.
Before a renovation, a movie theater had 138 seats. After the renovation, the theater has 186 seats. What is the approximate percentage increase of the number of seats in the theater? If necessary, round to the nearest tenth of a percent.
The approximate percentage increase of the number of seats in the movie theater after the renovation is 34.8% when rounded to the nearest tenth of a percent.
To calculate the approximate percentage increase of the number of seats in the movie theater, we start by finding the difference in the number of seats before and after the renovation. We then divide this difference by the original number of seats and multiply by 100 to get the percentage increase.
Original number of seats = 138
New number of seats = 186
Increase in seats = New number of seats - Original number of seats
Increase in seats = 186 - 138 = 48
Next, we calculate the percentage increase:
Percentage increase = (Increase in seats \/ Original numbe of seats) x 100
Percentage increase = (48 \/ 138) x 100
Percentage increase \/= 34.7826...
When rounded to the nearest tenth of a percent, the percentage increase is approximately 34.8%.
he table shows a pattern of exponents.
Answer:
Step-by-step explanation:
each new value is obtained by dividing the previous value by 5. For example, if we have 125, the next value is 125/5, or 25.
Answer:
Divide the previous value by 5
Step-by-step explanation:
5³, 5², 5¹, 5⁰, 5⁻¹, 5⁻²
The pattern of the exponents is evident that to get the next term, we divide the previous value by 5.
5³, to get 5², we divide 5³ by 5
To get 5¹, we divide 5² by 5 and so on.
What is the name of this angle?
Answer:
1. is an acute angle
2. is an acute angle
Step-by-step explanation:
Both the angles are less than 90° so the angles are both acute.
What is the median of these numbers: 14, 20, 24, 16, 20, and 18
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ To find the median of the numbers, you have to order them:
14, 16, 18, 20, 20, 24
Then, you find the average of the middle two numbers if the amount of numbers is even.
18+20/2
18+20=38
38/2=19
Final answer:
The median of those numbers is 19
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
TROLLER
♫ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ♫
➷ To find the median, you need to order your numbers first.
14, 16, 18, 20, 20, 24
There is an even amount of numbers, so you find the mean of the middle two numbers.
18+20=38/2=19
Median=19
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
DOGE
If f(x)=3/x-3, what is (f•f)(x)?
answer is B and it is the answer no questions asked hands down im the smartest person in the world
Answer:
B.
NEXT SLIDE:
A.
then
A, D.
then
A.
that's all i have time for. (im doing the assignment rn, but i have to log out and eat dinner! byeeee!)
Step-by-step explanation:
Good Luck Catching up fellow Edge people!!!
Find the sum of the first 20 terms
Answer:20.5
Step-by-step explanation:
1.5+1.45+1.40+1.35+1.30+1.25+1.20+1.15+1.10+1.05+1.00+0.95+0.90+0.85+0.80+0.75+0.70+0.65+0.60+0.55=20.5
wich of the following is a graph of the equation y=√x +5-2
The value of graph of equation y =√(x+5) - 2 is shown in figure.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
Equation is,
⇒ y = √(x + 5) - 2
Now, We can draw graph of equation y =√(x+5) - 2 is shown in figure.
Hence, The figure is shown in image.
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The product of (4z^2 + 7z - 8) and (-z + 3) is -4z^3 + xz^2 + yz - 24. What is the value of x? What is the value of y?
Answer:
[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]
[tex]y=5z+29-xz[/tex]
Step-by-step explanation:
Given: [tex](4z^2+7z-8)(-z+3)=-4z^3+xz^2+yz-24[/tex]; find x and y.
Let's start with finding x first. Let's distribute the left side of the equation.
[tex]-4z^3+5z^2+29z-24=-4z^3+xz^2+yz-24[/tex]
Let's move everything we can to the left side of the equation. Some things will cancel out.
[tex]5z^2+29z=xz^2+yz[/tex]
Now, let's move the term that includes [tex]x[/tex] to the left side of the equation. Everything else should be moved to the right.
[tex]-xz^2=-5z^2-29z+yz[/tex]
Let's get rid of the negative sign in front of [tex]x[/tex] by dividing both sides by -1.
[tex]xz^2=5z^2+29z-yz[/tex]
To get [tex]x[/tex] completely isolated, divide both sides by [tex]z^2[/tex].
[tex]\frac{xz^2}{z^2}=\frac{5z^2}{z^2}+\frac{29z}{z^2}-\frac{yz}{z^2}[/tex]
Simplify.
[tex]x=5+\frac{29}{z}-\frac{y}{z}[/tex]
Let's solve for y. We will start with the distributed and simplified equation to make it easier.
[tex]5z^2+29z=xz^2+yz[/tex]
Now, let's move the term that includes [tex]y[/tex] to the left side of the equation. Everything else should be moved to the right.
[tex]-yz=-5z^2-29z+xz^2[/tex]
Again, let's get rid of the negative sign in front of the [tex]y[/tex] by dividing both sides by -1.
[tex]yz=5z^2+29z-xz^2[/tex]
To isolate y, divide both sides by z.
[tex]\frac{yz}{z}=\frac{5z^2}{z}+\frac{29z}{z}-\frac{xz^2}{z}[/tex]
Simplify.
[tex]y=5z+29-xz[/tex]
Answer:
x = 5
y = 29
Step-by-step explanation:
Edge Answer
The base of a cone has a radius of 4 millimeters and the height of the cone is 24 millimeters. What is the volume of the cone?
Question 6 options:
A. 32π mm3
B. 96π mm3
C. 128π mm3
D. 384π mm3
Answer:
The volume of the cone is 128π mm³ ⇒ answer (C)
Step-by-step explanation:
* Lets study the cone
- Its base is a circle
- Its height the perpendicular distance from its vertex to
the center of the base
- The length of its slant height = √(h² + r²)
- The volume of the con is 1/3 the volume of the cylinder
∵ The volume of the cylinder = πr²h
∴ The volume of the cone = (1/3) πr²h
* In our problem:
- r = 4 mm
- h = 24 mm
∴ Its volume = (1/3) × π × (4)² × 24 = 128π mm³
* The volume of the cone is 128π mm³
(8c+5)(-2c-3) simplify
(8c+5)(-2c-3)
Multiply each term together, then combine like terms:
8c * -2c = -16c^2
8c *-3 = -24c
5 * -2c = -10c
5 *-3 = -15
Now combine:
-16c^2 - 24c -10c -15
Simplify:
-16c^2 -34c -15
Answer:
-16c^2 - 24c -10c -15
Step-by-step explanation: