Answer:
x = 5.3
Step-by-step explanation:
ehhh, i'm jus helping,
you're welcome :)
Answer:
53
To find:
x
Step-by-step explanation:
0.3x+5.14=2.1x – 4.4
0.3x-2.1x=-4.4-5.14
-1.8x=-9.54
x=-9.54/-1.8
To remove the decimal point, multiply with 100 on both numerator and denominator as their are two digits after the decimal point
x=-9.54 × 100/-1.8 × 100
therefore you will get,
x=-954/-180
cut the negative sign from both numerator and denominator
x=954/180
x=53
hope it helps you!!
What is the gradient of the line that goes through coordinates (2,3) and (4,9)
3
2/6
1/3
Answer:
gradient = 3
Step-by-step explanation:
Calculate the gradient ( slope) using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3) and (x₂, y₂ ) = (4, 9)
m = [tex]\frac{9-3}{4-2}[/tex] = [tex]\frac{6}{2}[/tex] = 3
Solve the system of equations.
Answer:
x = -2
y = 8
Step-by-step explanation:
8x + 5y = 24
y = -4x
Substitute y;
8x + 5(-4x) = 24
Distribute;
8x - 20x = 24
-12x = 24
Divide both sides by -12
x = -2
Substitute x;
y = -4(-2)
y = 8
The solution to the system of equations is x = -2 and y = 8.
To solve the system of equations:
8x + 5y = 24
y = -4x
We can use the second equation (y = -4x) to substitute for 'y' in the first equation. This process is known as substitution. Replace 'y' in the first equation with (-4x):
8x + 5(-4x) = 24
Now, simplify and solve for 'x':
8x - 20x = 24
Combine the x terms:
-12x = 24
Next, isolate 'x' by dividing both sides by -12:
x = 24 / -12
x = -2
Now that we have the value of 'x', we can find 'y' by substituting '-2' back into the second equation:
y = -4(-2)
y = 8
The solution to the system of equations is x = -2 and y = 8.
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How can you find f(3) if f(x) = -2x^2 – 4?
Square 3, multiply -2 and subtract -4 from the result. Therefore, option C is the correct answer.
The given function is f(x) = -2x²-4.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Substitute x=3 in f(x) = -2x²-4, we get
f(3) = -2(3)²-4
Square 3, multiply -2 and subtract -4 from the result. that is
f(3) = -2×9-4
= -22
Square 3, multiply -2 and subtract -4 from the result. Therefore, option C is the correct answer.
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Do not answer this. Just leave it be please
Answer:
Well nah
Step-by-step explanation:
Answer:
Lol no
Step-by-step explanation:
please help meeeeeeeeeeee!!!!!!!!!!!!!!!
Answer:
6. b
7. d
8. a
9. c
10.around 40
Step-by-step explanation:
no idea but i think i did my best
dave drives to work. while driving the car over nine days, he observes his daily average speed and lists it in the table below. day average speed (mph) 1 45 2 62 3 44 4 70 5 59 6 66 7 54 8 63 9 67 the median speed at which dave drove to work was .
The median speed at which Dave drove to work is 62 mph.
To find the median speed at which Dave drove to work, we need to arrange the average speeds in ascending order and determine the middle value.
Arranging the average speeds in ascending order:
44, 45, 54, 59, 62, 63, 66, 67, 70
Since we have nine values, the middle value is the 5th value, which is 62.
Therefore, Dave's average speed on the way to work was 62 mph.
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What is the value of x?
1/2 x + 2 = x - 1/4
Hey, can someone answer this please?and if you're reading this, you matter, <3
The equation has a slope of -2 and the value of 5 is the y-intercept.
When ever you need to find the y-intercept, you need to look at the number without x.
A company that produces fine crystal knows from experience that 10% of its goblets have cosmetic flaws and must be classified as ''seconds.'' a. Among six randomly selected goblets, how likely is it that only one is a second? b. Among six randomly selected goblets, what is the probability that at least two are seconds? c. If goblets are examined one by one, what is the probability that at most five must be selected to find four that are not seconds?
There is a 38.29% likelihood that at most five goblets must be chosen to find four that are not seconds.
a. Among six randomly selected goblets, the likelihood that only one is a second is calculated as follows:[tex]P(only one is a second) = P(X = 1) = (6C1 x 0.1 x 0.9⁵) = 0.47 or 47%[/tex]Therefore, Among six randomly selected goblets,
The likelihood that at least two are seconds is calculated as follows[tex]:P(at least 2 seconds) = 1 - P(0 second or 1 second)P(0 second or 1 second) = P(X = 0) + P(X = 1) = (6C0 x 0.1⁰ x 0.9⁶) + (6C1 x 0.1 x 0.9⁵) = 0.531P(at least 2 seconds) = 1 - P(0 second or 1 second) = 1 - 0.531 = 0.469 or 46.9%[/tex]Therefore, it is 46.9% likely that at least two of the six selected goblets are seconds.c. If goblets are examined one by one, the probability that at most five must be selected to find four that are not seconds is calculated as follows:
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HELP ME PLEASE! Part A: If (7^2)x = 1, what is the value of x? Explain your answer. (5 points)
Part B: If (7^0)x = 1, what are the possible values of x? Explain your answer. (5 points)
i know the answers, but, i need a smarty pants to write out the PROBLEM.
I'm asking could y'all write out how i got the answers. do not copy and paste the answer picture, please, write it out.
Ill give brainliest THANK YOU!
LOVE YOU ALL! <3
Answer:
x=1/49, x=1
Step-by-step explanation:
part a:
so if (7^2)=49, you are left with 49x=1. we have to use inverse operations to isolate the variable x. this means we have to divide by 49 on both sides since 49 is multiplied with x. so, you are left with 1/49. x=1/49.
part b:
so according to the zero property, if you raise any number to the power of 0, you get 1. therefore, we are left with 1x=1. we can simplify this to x=1, which is the answer!
i think this is what you're asking for, if i misunderstood please comment under my response!
Answer:
x=1/49, x=1
hope this helped
Find (a) the perimeter and (b) the area of the figure. Use 3.14 or 22/7 for Pi. Round your answer to the nearest hundredth, if necessary.
I NEED HELP QUICK!!!!!!!!!!
Answer:
a) perimeter = 8π + 6 + 8 + 10
= (8π + 24) ft
= about 49.13 ft
8(3.14) + 24 = about 49.12 ft
b) area = π(4^2) + 10(8) + (1/2)(6)(8)
= (16π + 104) ft²
= about 154.27 ft²
16(3.14) + 104 = about 154.24 ft²
what is the simpelist math
Answer:
adding
Step-by-step explanation:
adding because you can use your fingers
i will give u brainliest
Answer:
It is 18
Step-by-step explanation:
A^2+31^2=36^2
After that you simplify then solve and you'll get 18
9514 1404 393
Answer:
18.3 m
Step-by-step explanation:
The Pythagorean theorem is helpful here. It tells you the sum of the squares of the sides of the triangle is equal to the square of the hypotenuse.
h^2 + 31^2 = 36^2
h^2 = 36^2 -31^2 = 1296 -961 = 335
h = √335 ≈ 18.303
Rounded to the nearest tenth, the height of the building is 18.3 m.
Parabola A can be represented using the equation (x + 3)2 = y, while line B can be represented using the equation y = mx + 9. Isabel claims one solution to the system of two equations must always be the vertex of parabola A.
Which best describes the reasonableness of her claim?
A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.
→B: Isabel is correct because the y-intercept of line B is (9, 0) and the value of x when y = 0 in parabola A is 9.
C: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
D: Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the x-intercept of the equations, not the vertex.
Answer:
The correct answer is c, Isabel is incorrect because the point of intersection between line B and parabola A that can be determined is the y-intercept of the equations, not the vertex.
We want to study the possible solutions of a system of equations where one equation is a parabola and the other equation is a line.
We will see that the correct option is A:
"Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9."
-----------------------------------------
Here we have the system of equations:
y = (x + 3)^2y = m*x + 9Isabel claims that one of the solutions to the system must always be the vertex of the parabola.
Now, the solutions of the system are the points where both graphs intersect, so to find the solutions we can write:
(x + 3)^2 = y = m*x + 9
Then the solutions can be found by solving:
(x + 3)^2 = m*x + 9
Now, the vertex of the parabola is at x = 0, so to test Isabel claim, we can evaluate the above expression in x = 0 to get:
(0 + 3)^2 = m*0 + 9
3^2 = 9
9 = 9
This is true, so Isabel is correct, there will always be a solution and that solution is the vertex of the given parabola.
Then the correct option is:
A: Isabel is correct because the y-intercept of line B is (0, 9) and the value of y when x = 0 in parabola A is 9.
(Option B is incorrect because the y-intercept of line B is written incorrectly there).
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Sonny and logan where driving go carts around the track. Sony took 15 minutes to drive 1 lap, it took logan 9 minutes to drive around 1 lap. If two of then start at the same time and went there same speeds, after how many minutes would the 2 of them meet at the same point?
Answer:
45 minutes
Step-by-step explanation:
Let, after time [tex]t[/tex] minutes, they meet again at the same point.
In time [tex]t[/tex] minutes, let Sony completes x lap while Iogan completes y laps. Note that x and y must be the counting numbers.
As Sonny took 15 minutes to drive 1 lap, so,
[tex]t=15x\cdots(i)[/tex]
While Iogan Sonny took 9 minutes to drive 1 lap, so,
[tex]t=9y[/tex]
[tex]\Rightarrow 15x=9y[/tex] [from equation (i)]
[tex]\Rightarrow \frac {x}{y}=\frac{9}{15}[/tex]
[tex]\Rightarrow \frac {x}{y}=\frac{3}{5}[/tex]
As x,y must be counting number, so
(x,y)=(3,5),(6,10),...,(3n,5n) where n is a positive integer.
So, the minimum number of laps required are
x=3 and y=5 (when they meet for the first time)
Now, from equation (i),
The time required to meet them for the first time, t=15x3=45 minutes.
The following image was reflected across the x-axis. What are the coordinates for C'?
=========================================================
Explanation:
Point C is located at (-2, -3).
When we apply an x axis reflection, the x coordinate stays the same and the y coordinate flips from negative to positive.
The x axis reflection rule is [tex](x,y) \to (x,-y)[/tex]
So that's how we go from (-2,-3) to (-2,3)
Answer:
-2,3
Step-by-step explanation:
Reflection in the x -axis:
A reflection of a point over the x -axis is shown. The rule for a reflection over the x -axis is. (x,y)→(x,−y) .
PLEASE HELPPP!!!!!!!
Answer:
D. g(x)=5x^2
Step-by-step explanation:
This is the graph, if you need help go to desmos.com
Answer:
D
Step-by-step explanation:
If you plug the x coordinate into the 4 possible answers, only one gives you the correct y coordinate.
Answer A: if X=1 then 1 squared is still 1 and 1 times 25 means Y=25 (wrong)
Answer B: If X=1 then 1 times 5 is 5 and 5 squared is 25 so Y=25 (wrong)
Answer C: if X=1 then 1 squared is still 1 and 1 times 1/5 is 1/5 so Y=1/5 (wrong)
Answer D: if X=1 then 1 squared is still 1 and 1 times 5 is 5 so Y=5 (Correct)
In the given figure, line p is parallel to line q. Which of the following describes the relationship between angles 2 and 3?
Answer:
see below
Step-by-step explanation:
<2 and <3 are same side interior angles
Since p and q are parallel, <2 and <3 add to 180 ( or are supplementary)
Answer:
They are consecutive interior angles
Step-by-step explanation:
please answer quickly
Answer:
QET
FWR
Step-by-step explanation:
Colinear means lying on the same line.
Troy went to Las Vegas over Spring Break. He spent some time playing Blackjack. Troy's gambling winnings during this trip totaled $2,500; his losses during the trip were $1,300. How much should Troy include in gross income related to his gambling activities?
Nicci is an unmarried taxpayer with no dependents. She received a $720 refund from the state of Utah in March 2022 (this refund was the result of filing her 2021 tax return in early 2022). How much of this refund must Nicci include in gross income if she claimed the standard deduction on her 2021 return?
Troy should include $1,200 in gross income related to his gambling activities.
Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.
For Troy, the amount he should include in gross income related to his gambling activities is the net winnings, which is calculated by subtracting his losses from his winnings.
Net Winnings = Winnings - Losses
Net Winnings = $2,500 - $1,300
Net Winnings = $1,200
Therefore, Troy should include $1,200 in gross income related to his gambling activities.
For Nicci, if she claimed the standard deduction on her 2021 tax return, she does not need to include the state refund in her gross income. State tax refunds are generally not taxable if the taxpayer did not itemize deductions in the year for which the refund is received. Since Nicci claimed the standard deduction, she can exclude the $720 refund from her gross income.
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A group of students are watching a documentary that is 58 minutes long. They have already watched 17 minutes of the documentary. How much time is left in the documentary?
Answer:
41 minutes
Step-by-step explanation:
1/2 ln (x+3) - ln x=0
Answer:
x ≈ 2.30277563
Step-by-step explanation:
what is the solution of this equation?
-1+x=4
Answer:
x=5
Step-by-step explanation:
-1+x=4
+1 +1
x=5
hope this helps :)
Please help!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Solve by Completing the Square: x2 + 8x + 6 = 0
Answer:
X2+8X+6=0
We add all the numbers together, and all the variables
X^2+8X+6=0
a = 1; b = 8; c = +6;
Δ = b2-4ac
Δ = 82-4·1·6
Δ = 40
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
X1=−b−Δ√2aX2=−b+Δ√2a
The end solution:
Δ−−√=40−−√=4∗10−−−−−√=4√∗10−−√=210−−√
X1=−b−Δ√2a=−(8)−210√2∗1=−8−210√2
X2=−b+Δ√2a=−(8)+210√2∗1=−8+210√2
Step-by-step explanation:
-x/3 + 10 > 15
Solve and show your steps to the inequality below.
Answer:
x < 15
Step-by-step explanation:
Step 1: Write inequality
-x/3 + 10 > 5
Step 2: Solve for x
Subtract 10 on both sides: -x/3 > -5Multiply both sides by -3: x < 15Find the sum of the first 9 terms in the following geometric series.
Do not round your answer.
64+32+16+...
Answer:
127.75
Step-by-step explanation:
64+32+16+8+4+2+1+.5+.25=127.75
Answer:
127.75
Step-by-step explanation:
Determine whether the number is a perfect square P.S there is a lot
8 4 81 44 49 125 150 144
THANKS FOR THE HELP
Answer:
okay so to figure out a perfect square a number has to be outlined by itself. 8 is not. 4 is because 2 times itself is 4. 81 is because 9 time itself is 81. 44 is not. 49 is because 7 times itself is 49. 125 is not. 150 is not. 144 is because 12 times itself is 144.
A 300-liter tank initially contains 175 liters Of Fuel. A pump empties the tank at a rate of 7.5 Liters per minute. which of these represents a function that models the number of liters of fuel in the tank after X minutes
Answer:
Option (D)
Step-by-step explanation:
Rate of emptying the fuel tank = 7.5 liters per minute
Fuel emptied in x minute = 7.5x liters
Volume of the fuel in the fuel tank initially = 175 liters
Therefore, amount of fuel left in the tank after x minutes = (175 - 7.5x) liters
Function representing the emptying of the fuel tank will be,
f(x) = 175 - 7.5x
Option (D) will be the answer.
F(k,l)=.75L+K
Q=1
draw the isoquant
An isoquant is a curve that represents all the various combinations of two factors of production that can produce a particular level of output. The formula for the given production function is
F(k,l)=.75L+K, where Q=1. Now, we will draw the isoquant for the given function.
The graph of the isoquant will be plotted with the help of two axes, K and L, where K represents capital, and L represents labor.
Steps to draw the Isoquant for the given production function F(k,l)=.75L+K:
Step 1: First, we need to assume a level of output, which is Q=1.Step 2: Substitute Q=1 in the production function F(k,l)=.75L+K, then rewrite it as 1=.75L+K.Step 3: Now, solve the above equation for K, which is K=1-.75L.Step 4: Use this K value and draw a graph with K on the x-axis and L on the y-axis.Step 5: Plot the curve by assigning different values to L, which will represent the various combinations of the capital and labor that can produce the same output of Q=1.Here's the graph of the Isoquant for the given production function:
F(k,l)=.75L+K where Q=1:
f(k, l) = 0.75L + Kf(k, l) = 0.75L + KQ = 1
Isoquant1 = 1; K = 1 - 0.75L0.75(4) + 1 = 1 + 0.75(0)1 + 0 = 0.75(3) + 1= 1 + 2.25
Isoquant0.75(1) + 1 = 1 + 0.75(2)0.75 + 1 = 1 + 1.5= 1 + 0.75(1)
Isoquant0.75(0) + 1 = 1 + 0.75(4)1 + 0 = 3
isoquant's graph indicates the various combinations of two factors of production, labor, and capital, that can produce a particular level of output, Q = 1.
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