Answer:
Step-by-step explanation:
y = 4x is proportional and linear ( y = coffienient(x) )
y = -4x - 3 is not proportional because it has a costant ( -3 )
They are both an equation, they have a coffienient, and a value like (x)
9514 1404 393
Answer:
the lines have opposite slopeseach is a mirror of the other in the line y = -1.5the point (-3/8, -3/2) is common to both linesStep-by-step explanation:
The slope of the first line is 4; the slope of the second line is -4, so the slopes are opposites of each other. (The lines are not perpendicular.)
The y-intercept of the first line is 0; that of the second line is -3, so they cross the y-axis in different places.
Since the slopes are opposites of each other, one line is a reflection of the other about the horizontal line through the point where the lines meet. That point is ...
4x = -4x -3
8x = -3
x = -3/8
y = 4x = -3/2
The point of intersection (common to both lines) is (-3/8, -3/2).
Question 6 of 20Subtract.(2x²+5)-(4x-3)A. 2x² - 4x + 2B. 2x² - 4x+8C. -2x² +2D. -2x² +8
Hello!
To solve this exercise, we'll follow the same steps as a common subtraction: group the numbers with the same coefficient.
Look:
\((2x^2+5)-(4x-3)\)First, let's remove the parenthesis and change the signal of the second term:
\(2x^2+5-4x+3\)Now let's group the numbers with the same coefficient:
\(2x^2+5-4x+3=\boxed{2x^2-4x+8}\)Answer:Alternative B.
If x = 2, solve for y. y = 6.3x y=[?]
Answer: y = 12.6
Step-by-step explanation:
Since x = 2 and y = 6.3 * x, y = 6.3 * 2.
6.3 * 2 is equal to 12.6, so y is 12.6.
Answer:
y = 12.6
Step-by-step explanation:
y = 6.3x x = 2
Solve for y.
y = 6.3(2)
y = 12.6
So, the answer is 12.6
3x + 1/5y - 2 = 0
A. y=15x + 10
B.y=15x - 10
C.y=-15x +10
D.y=-15x-10
Answer:
C
Step-by-step explanation:
You need to isolate the y variable. The first thing you need to do is move the 2 and 3x to the other side of the equation.
3x + 1/5y - 2 = 0
1/5y = -3x +2
Then you need to get rid of the 1/5 so you multiply both sides equation by the reciprocal of 1/5 which is 5/1 or 5.
y = ( -3x +2) 5
then you distribute the 5 to get
y = -15x+10
C.y=-15x +10
Move everything to the other side:
1/5y = 2-3x
Switch -3x and 2
1/5y= -3x+2
multiply by 5
y= -15x + 10
Which equation can be used to find 55 percent of 900?
StartFraction 55 times 1 Over 900 times 1 EndFraction = StartFraction 55 Over 900 EndFraction
StartFraction 100 times 16.36 Over 55 times 16.36 EndFraction = StartFraction 1636 Over 899.8 EndFraction
StartFraction 900 times 9 Over 100 times 9 EndFraction = StartFraction 8100 Over 900 EndFraction
StartFraction 55 times 9 Over 100 times 9 EndFraction = StartFraction 495 Over 900 EndFraction
Answer:
the answer is A
Step-by-step explanation:
igot a 100
Answer:
D
Step-by-step explanation:
what is synthetic division method
If 57 is added to a number, it will be 4 times as large as it was originally. Find the number.
Answer:
19
Step-by-step explanation:
X will refer to the number.
X+57( the number added to the original.)=4x. (x time 4)
X+57=4x.
Subtract x from both sides to get the variable on one side.
(X+57)-x =(4x)-x
57=3x. You would then divide by 3 on both sides to again get integer isolated.
57/3=3/3x.
57/3=19. 3/3=1.
19=x.
Select the correct answer.
Function bis nonlinear, and b(9) = 4. Which equation could represent function b?
The nonlinear- function which represents b(9)=4 is given by b(x)=72/x - 4 .
In mathematics and physics, a nonlinear system is one in which the change in the output is not proportional to the change in the input. Engineers, biologists, physicists, mathematicians, and many other scientists are interested in nonlinear problems since the majority of systems are inherently nonlinear.
Nonlinear function graphs don't resemble lines at all. It contains the formula f(x) = ax + b. Its equation can take any form, with the exception of f(x) = ax + b. The slope of the curve is the same between any two points. The point pairs on the graph do not all have equal slopes.
Of all the given options: the only equations which imply that b(9)=4 are :
i) b(x)=72/x - 4 and (iv) b(x)=4
Of this two options only the first option is non-linear.
Hence the required option is b(x)=72/x - 4 .
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Disclaimer:
The missing options are:
i) b(x) = 72/x - 4
ii) b(x) = √x + 7
iii)b(x) = 2x+1
iv) b(x) = 4
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hay 1230 personas, entre hombres y mujeres. Si se sabe que el número de mujeres, supera en 150 al número de hombres. ¿Cuántos hombres están habitando la mini ciudad?
There are 540 men living in the mini city.
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
Therefore, there are 540 men living in the mini city.
To check our answer, we can substitute x = 540 into our original equation:
540 + (540 + 150) = 1230
690 = 1230
This is false, so there must be an error in our calculation. We can double-check our work by trying a different approach.
We know that the number of women exceeds the number of men by 150, so we can represent the number of women as (x + 150). We also know that the total number of people is 1230, so we can set up an equation:
x + (x + 150) = 1230
Simplifying this equation, we get:
2x + 150 = 1230
Subtracting 150 from both sides, we get:
2x = 1080
Dividing both sides by 2, we get:
x = 540
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What do you think about given set of ordered pairs?
{ (-2, 1), (-1, 0 ) , ( 1, 0), (2, 0 ) }
Responses
A-It is a function.
B-It is a relation but not a function.
Note that the given set of ordered pairs are an example of a mathematical function. (Option A)
What is an ordered pair?An ordered pair is a composite of the x coordinate (abscissa) and the y coordinate (ordinate), with two values expressed between parenthesis in a predetermined order. By situating a point on the Cartesian plane, it enhances visual comprehension. The numeric values of an ordered pair might be integers or fractions.
A function is a collection of ordered pairs in which each input (or "x" value) corresponds to exactly one output (or "y" value). In this provided set of ordered pairs: (-2, 1), (-1, 0), (1, 0), (2, 0), there is only one matching value of y for each value of x.
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T=PV/k, determined P when T=80, V=20 and K= 0.5
We have the following equation:
\(T=\frac{PV}{k}\)since we need P, we must move k and V to the left hand side as
\(P=\frac{k\cdot T}{V}\)By substituting the given values, we get
\(\begin{gathered} P=\frac{(0.5)(80)}{20} \\ P=\frac{40}{20} \\ P=2 \end{gathered}\)that is, P is equal to 2.
What is the image of (-1,-5) after a dilation by a scale factor of 5 centered at the
origin?
A dilation by a scale factor of 5 centered at the origin simply multplies by 5 the coordinates of every point. So, the new coordinates are (-5, -25)
Find value on f X (pic included)
The value for base side is obtained as x = 84.149 yd.
What are trigonometric ratios?
Sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec) are the six trigonometric ratios. A branch of mathematics called trigonometry in geometry deals with the sides and angles of a right-angled triangle.
It is seen in the diagram that the above angle with 16° forms a right angle.
Hence, the θ value will be -
90° - 16° = 74°
Now apply the formula for trigonometric ratio sec θ-
sec θ = Hypotenuse/Base
sec 74°= 490/x
x = 490/5.823
x = 84.149
Therefore, the length for x is 84.149 yd.
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Help meeeeeee ASAP helppppppp
Answer:
45 × 1/3 = 15
Step-by-step explanation:
15 / (1/3) = (3×15)/1 = 45
so, from 15 / (1/3) = 45
we can then adapt the equation by multiplying both sides by 1/3
15 = 45 × (1/3)
Find the slope on the line?
Answer:
slope=0
Step-by-step explanation:
Hi there!
We're given a graph with a line and two marked points on the graph: (-1,3) and (3,3)
the formula given for slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we have our two points: (-1,3) and (3,3) and we can label them:
x1=-1
y1=3
x2=3
y2=3
now substitute into the formula
note: Remember the formula shows SUBTRACTION, even though we have NEGATIVE numbers. When we simplify, we'll add the numbers.
slope=(3-3)/(3--1)
simplify
slope=0/4
divide
slope=0
Hope this helps!
Which of the following is the equation of the function f(x) graphed above? A. ƒ(x) = x(x − 2)²(x − 1)(x + 1) B. f(x) = (x - 2) (x − 1)(x + 1) c. f(x)= x(x - 2)²(x − 1)(x + 1) + 1)² D. f(x) = (x - 2)²(x - 1)(x - 1)^ E
Which expressions is equivalent to 3x (2x– 3)?
(hint: select ALL that apply. Remember to distribute!)
Hi ;-)
\(3x(2x-3)=3x\cdot2x-3x\cdot3=\\\\=\boxed{6x^2-9x}=\boxed{-9x+6x^2}\)
\(3x(2x - 3) = 3x2x - 3x3 \\ = 6 {x}^{2} - 9x \\ thank \: you\)
A class of 30 music students includes 13 who play the piano, 15 who play the guitar, and 9 who play both the piano and the guitar. How many students in the class play neither instrument?
Answer: 2
Step-by-step explanation:
As given, out of 30 students, 15 play guitar and 13 play piano, thats 28.
Among these, 9 play both the guitar and the piano.
That means, only 2 remaining students play neither instrument. (30-15-13)
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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Printer A and Printer B complete the same printing task. Printer A completes the task in 40 minutes. Printer B can print 4 more pages per minute than printer A and takes 16 fewer minutes to complete the task.
How many pages were in the printing task?
there were 240 pages in the printing task.
What is an Equations?
Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.
Now we can use the last two equations to solve for "p". First, substitute "r" into the equation for Printer A's printing rate:
r + 4 = (p / t)
(p / 40) + 4 = (p / 24)
Multiplying both sides by 120 (the least common multiple of 40 and 24) to eliminate the fractions, we get:
3p + 480 = 5p
480 = 2p
p = 240
Therefore, there were 240 pages in the printing task.
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Is 6 inches in 10 seconds proportional to 12 inches in 60 seconds?
Answer: No
Step-by-step explanation:
to be proportional, both numbers have to increase by the same number
because if u multiply 6 by 2 you get 12, but when you multiply 10 by 2 you get 20, not 60 it would be proportional if you said 6 and 10 in to 12 and 20 in
During each hour of exercise, Matthew drinks 1 cups of water. Matthew exercised for 14 hours this
month. How many cups of water did he drink while he was exercising this month?
I’m so bad with math please ask:((((
From delta math:
Subtract -2x^2 + 3x - 9 from 8x^2 + 10x - 10
Answer:
\(10x^2 + 7x - 1\)
Step-by-step explanation:
Step 1: Build the expression in numerical form.
\((8x^2 +10x - 10) - (-2x^2 + 3x - 9)\)Step 2: Distribute the negative sign.
\(8x^2 +10x -10 + (-1)(-2x^2) + (-1)(3x) + (-1)(-9)\) \(8x^2 + 10x - 10 + 2x^2 + (-3x) + 9\)Step 3: Combine like terms.
\((8x^2 +2x^2) + (10x -3x) + (-10+9)\) \(10x^2 +7x -1\)Therefore, the answer is \(10x^2 + 7x -1\).
Cody is cutting fabric for a quilt. She has 4 feet of cloth to make 12 quilt pieces. Is he uses all of the fabric, how long should each quilt piece be?
Answer:
Each quilt will be 3 feet long.
Step-by-step explanation:
This is a division problem. All you have to do is divide 12 by 4. After that, you should get an answer of 3! :)
Calculating the WACC. Given the following information for Watson Power Co., find the WACC. Assume the company’s tax rate is 21 percent. Debt: 15,000 bonds with a 5.8 percent coupon outstanding, $1,000 par value, 25 years to maturity, selling for 108 percent of par; the bonds make semiannual payments. Common stock: 575,000 shares outstanding, selling for $64 per share; the beta is 1.09. Preferred stock: 35,000 shares of 2.8 percent preferred stock outstanding, currently selling for $65 per share. Market: 7 percent market risk premium and 3.2 percent risk-free rate.
Total market value of the firm is $55,275,000.
Define the term percentage?Using a number out of 100, a percentage is a technique to indicate a fraction or piece of a total. "Percent" is short for "per hundred."
Step 1: Calculate the market value of debt.
Market value of debt = Number of bonds outstanding × Bond price × Par value
Market value of debt = 15,000 × 1.08 × $1,000 = $16,200,000
Step 2: Calculate the market value of common stock.
Market value of common stock = Number of shares outstanding × Stock price
Market value of common stock = 575,000 × $64 = $36,800,000
Step 3: Calculate the market value of preferred stock.
Market value of preferred stock = Number of shares outstanding × Stock price
Market value of preferred stock = 35,000 × $65 = $2,275,000
Step 4: Calculate the total market value of the firm.
Total market value of the firm = Market value of debt + Market value of common stock + Market value of preferred stock
Total market value of the firm = $16,200,000 + $36,800,000 + $2,275,000 = $55,275,000.
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I need to change the subject to x
(x - 4y) / w = 9
Multiply both sides by w
x - 4y = 9w
Add 4y to both sides
x = 9w + 4y
Set up an equation and use it to solve for X
(6x + 3)
33°
9514 1404 393
Answer:
24
Step-by-step explanation:
The angles of a linear pair are supplementary.
(6x +3)° +33° = 180°
6x = 144 . . . . . . . . . . . divide by °, subtract 36
x = 24 . . . . . . . . divide by 6
Solve.
log6x+log6(x−1)=1
Enter your answer in the box.
x = ?
Answer:
7
Step-by-step explanation:
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What is the value of sin-1(1)?
The value of sin^(-1) 1 is; π/2
We want to find the value of sin^(-1) 1Now, when using trigonometric functions, we know that; If sin θ = x Then; θ = sin^(-1) xNow, we want to find the angle.We know that in radians the value of θ at which sin θ = 1 is; π/2 radians
Thus; sin^(-1) 1 = π/2
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3 Jack walk from Santa Clara to Polo Allo. Il took I hour 25 min to walk from Santa Clot to Los Altos. Than it took 25 minute of wal from los altos to Palo buto. He arrived in Palo alto at 2:45 P.M. of what time die Santa Clara ? he leave Santa clara
The time Jack left Santa Clara is 1 : 55 pm
What is word problem?A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.
The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.
Therefore, the total time he spent is
25mins + 25 mins = 50 mins
He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;
2:45 pm = 14 :45
= 14:45 - 50mins
= 13:55
= 1 : 55pm
Therefore he left at 1:55 pm
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A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
Answer:
53\(x_{123}\) == 134 cf
Step-by-step explanation:
A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a
The height of the building is approximately 78.63 meters.
The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.
Draw a diagram of the situation described in the problem to get a better understanding of the problem. The diagram would have a right-angled triangle with angle of elevation of 66° at the bottom left vertex and another angle of elevation of 53° at the bottom right vertex. The object on top of the building is at the vertex of the triangle. Point M and I on the diagram are points on the horizontal line of sight and on the ground respectively. We can label the diagram with the following values:Angle of elevation from point A = 66°Angle of elevation from point P = 53° Length of line segment AM = h Length of line segment MP = x Length of line segment IP = y Length of line segment MT = 50m. We'll use these values to calculate the length of h, which is the height of the building.Use the tangent ratio to find x:tan 66° = h / x => x = h / tan 66°. Use the tangent ratio to find y:tan 53° = h / y => y = h / tan 53°.We know that x + y = 50, so substituting the expressions for x and y from step 3 gives:h / tan 66° + h / tan 53° = 50h = 50 tan 66° tan 53° / (tan 53° + tan 66°) ≈ 78.63 m.Therefore, the height of the building is approximately 78.63 meters.
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