Write the equation of a line in slope-intercept form from the graph below.
Write the equation of a line in slope-intercept form from the graph below.
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Slope of 1, y-intercept of (0,0)
y=1x+0...same as the initial answer
Answer: Y=x or y=1x
Step-by-step explanation:
Slope of 1 y-intercept of (0,0)
Related Questions
The formula for rate is r=d/t . Solve for d.
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d/t=r
d=r.t
you have: [tex]r= \frac{d}{t} [/tex]
You want to solve for d->>> to isolate d multiply both sides by t...
[tex]t*r =\frac{d}{t} *t[/tex]
[tex]t*r=d[/tex]
Thus, your answer.
the formula for finding the area of a circle is a equals pi r square. solve the formula for r.
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Area=pi.r^2
r^2=Area/pi
r= square root of Area/pi
In the formula A=\pi r^{2}, if the radius is 6 centimeters, what is the correct unit for the area of the circle?
A)\pi cm
B)cm^2
C)cm
D)cm^3
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Area=pi.6^2
Area=36pi cm^2
If h(x) = -3x - 10, find h(-3).
Answer
-1
2.3
-19
1
...?
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__________________________________________________________
Explanation:
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Given: " If h(x) = -3x − 10, find h(-3). "
So; we plug in "-3" for all values of "x" ; to solve for " h(-3)" ; as follows:
→ h(-3) = -3(-3) − 10 = 9 − 10 = - 1 .
The answer is: " - 1 " .
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Assume the function has an inverse. Without solving for the inverse find the indicated function values: f(x)=x^3+4x-1, (a) f^-1 (-1) (b) f^-1 (4) ...?
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To find the indicated function values of the inverse of a function, substitute the given values into the original function and solve for x.
Explanation:To find the indicated function values of the inverse of the function f(x)=x^3+4x-1, without solving for the inverse function, we substitute the given values into the original function and solve for x.
(a) To find f^-1(-1), we substitute -1 into the function: f(-1)=(-1)^3+4(-1)-1 = -1+(-4)-1 = -6.
(b) To find f^-1(4), we substitute 4 into the function: f(4)=(4)^3+4(4)-1 = 64+16-1 = 79.
A sequence in which each term is found by adding the same number
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Watermelons cost $0.35 per pound. Joseph’s watermelon costs between $4.20 and $5.25. Which compound inequality correctly represents the possible weights of his watermelon?
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x - the weight of Joseph's watermelon
Watermelons cost $0.35 per pound:
0.35x
Joseph’s watermelon costs between $4.20 and $5.25:
4.20 < 0.35x < 5.25
Divide all by 0.35:
4.20/0.35 < 0.35x/0.35 < 5.25/0.35
12 < x < 15
Answer: 12 < x < 15
Step-by-step explanation:
A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?
PLZZZZZZ HELPPPP
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Morgan calculated that he spent 305 minutes doing homework one week and 284 minutes doing homework the next week. How much more time did he spend doing homework the first week?
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The equation of line KL is y=-1/2x-6. The equation line WX is 7x-14y=-42. Rewrite the equation of line WX in slope-intercept form and determine if the two lines are parallel.
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The equation of line WX in slope-intercept form is,
⇒ y = 1/2x + 3
And, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line KL is,
⇒ y = - 1/2x - 6.
And, The equation line WX is,
⇒ 7x - 14y = - 42
Now,
The equation of line WX in slope-intercept form is,
⇒ 7x - 14y = - 42
⇒ 7x + 42 = 14y
⇒ 14y = 7x + 42
⇒ y = 7x/14 + 42/14
⇒ y = 1/2x + 3
Hence, Slope of equation of line WX is,
⇒ y = 1/2x + 3
⇒ dy/dx = 1/2
⇒ m = 1/2
And, Slope of equation of line KL is,
⇒ y = - 1/2x - 6
⇒ dy/dx = - 1/2
⇒ m = - 1/2
We know that;
Slopes of parallel lines are equal.
Hence, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
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I HATE MATH (and im lazy)
Oliver borrowed $215 from his friend John. He used this money to advertise his tutoring services. Oliver earned 8 times the amount he borrowed in his first month of tutoring. Approximately how much did Oliver earn in his first month of tutoring?
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215×8=1720
Answer:
then f the teacher
Step-by-step explanation:
XY is the perpendicular bisector of JK. which of the following statements must be true? check all that apply?
A. XY and JK form four right angles
B. P is the midpoint of XY
C. m
D. XP=YP
E.JP=KP
F. XY perpendicualr to JK
Answers
According to the properties of a perpendicular bisector, XY will form four right angles with JK, XY is perpendicular to JK, and it must bisect JK into two equal parts, making statements A, D, E, and F true.
Explanation:The question tells us that XY is the perpendicular bisector of JK. This tells us a few things about the relationship between the two lines and the points on them:
XY and JK form four right angles: Because XY is a perpendicular bisector, it intersects line JK at a 90° angle.XY perpendicular to JK: This simply restates that the angle formed by the intersection of XY and JK is a right angle.JP=KP: Perpendicular bisectors not only intersect the other line at a right angle, but they also bisect it, which means they cut it into two equal parts. Thus, point J is as far from the point of intersection as point K, making JP equal to KP.XP=YP: This is also a property of the perpendicular bisector. It means that the point of intersection P is the midpoint of XY, making segment XP equal to segment YP.The options regarding P being the midpoint of XY and the statement that includes an undefined variable 'm' were ignored due to lack of context.
Final answer:
The statements that must be true when XY is the perpendicular bisector of JK are: XY and JK form four right angles, P is the midpoint of XY, XP = YP, and XY is perpendicular to JK.
Explanation:
To determine which of the statements must be true, we need to understand the properties of a perpendicular bisector. A perpendicular bisector of a line segment is a line that divides the line segment into two equal parts and forms a right angle with the line segment.
From this definition, we can conclude that the following statements must be true:
A. XY and JK form four right angles - Since XY is the perpendicular bisector of JK, it forms a right angle with JK at each point of intersection.
B. P is the midpoint of XY - The perpendicular bisector passes through the midpoint of the line segment it bisects.
C. XP = YP - Since P is the midpoint of XY, XP and YP have equal lengths.
F. XY is perpendicular to JK - This is the definition of a perpendicular bisector.
The width of a square-based storage tank is 3m less than its height. The tank has a capacity of 20 m3. If the dimensions are integer values in metres, what are they?
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The volume of a rectangle is: V = w * l * h (w - width, l - length, h - height)
A rectangle is square based, so: w = l
V = w * w * h = w² * h
The width of a square-based storage tank is 3m less than its height: w = h - 3
V = 20 m³
w² * h = 20
(h - 3)² * h = 20
(h² - 2 * h * 3 + 3²) * h = 20
(h² - 6h + 9) * h = 20
h² * h - 6h * h + 9 * h = 20
h³ - 6h² + 9h = 20
h³ - 6h² + 9h - 20 = 0
h * h² - 5h² - h² + 5h + 4h - 4*5 =0
(h * h² - 5 * h²) - (h * h - 5h) + (4*h - 4*5) =0
h²(h - 5) - h(h - 5) + 4(h - 5) = 0
(h - 5)(h² - h + 4) = 0
We have that one solution is:
h - 5 = 0
h1 = 5
Other two solutions are:
h² - h + 4 = 0
Quadratic equation is: ax² + bx + c = 0
[tex]h_{2,3} = \frac{-b+/- \sqrt{ b^{2}-4ac } }{2a} = \frac{-(-1)+/- \sqrt{ (-1)^{2}-4*1*4 } }{2*1} = \frac{1+/- \sqrt{1-16} }{2} = \\ \\ = \frac{1+/- \sqrt{-15} }{2} = \frac{1+/- \sqrt{-1*15} }{2} = \frac{1+/- \sqrt{-1} * \sqrt{15} }{2}= \frac{1+/- i\sqrt{15} }{2} \\ \\ h_2 = \frac{1+ i\sqrt{15} }{2} \\ \\ h_3 = \frac{1- i\sqrt{15} }{2}[/tex]
The only integer value is h1 = 5 m
h = 5 m
w = h - 3 = 5 - 3 = 2 m
Volume = x(x)(x + 3) = x^3 + 3x^2 = 20
x^3 + 3x^2 - 20 = 0
x = 2
Therefore, the dimension of the tank is 2 m by 2 m by 5 m
how to find a whole number in this question 4% of ... is 56?
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[tex] \frac{1}{25} * x=56[/tex]
[tex]1400[/tex]
Sam is flying a kite. the length of the kite string is 80 meters, and it makes an angle of 75° with the ground. the height of the kite from the ground is meters.
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h = 80 (0.966) = 77.27 meters height of kite from the ground
Answer:
Height of the kite from ground is 77 m.
Step-by-step explanation:
Given: Length of the kite string = 80 m
Angle of elevation = 75°
To find: Height of the kite from the ground.
Figure is attached.
In ΔABC
using trigonometric ratio,
[tex]sin\,75^{\circ}=\frac{AB}{AC}[/tex]
[tex]0.97=\frac{AB}{80}[/tex]
[tex]AB=0.97\times80[/tex]
AB = 77.27 m
AB = 77 m (approx.)
Therefore, Height of the kite from ground is 77 m.
Write the standard form of the equation of the line that passes through the given points.
(5, 3) and (8, -2)
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y - 3 = (-2 - 3)/(8 - 5) (x - 5)
y - 3 = -5/3 (x - 5)
3y - 9 = -5x + 25
5x + 3y = 34
graph the equation. y = 4x - 3
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The ratio of sues age to her fathers age is 2:7 in three years their ages will total 60, how old is sue and her dad right now
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Write 16 1/2 as an improper fraction
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Then place the final answer the denominator.
16 1/2 becomes 33/2.
Which of the following is the inverse of the function {(1,2),(3,4),(6,8)}
A. {(6,8),(3,4),(1,2)}
B. {(2,1),(4,3),(6,8)}
C. {(2,1),(4,3),(8,6)}
D. {(2,1),(3,4),(8,6)}
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graph the line y=3/4x-2
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Step-by-step explanation: First, notice that this line is in slope intercept or more commonly known as y = mx + b form because y is by itself on one side of the equation.
Our slope or m therefore is the coefficient of the x-term which in this case is 3/4. Our b or y-intercept is the constant term which in this case is -2.
To graph a line given the slope and y-intercept, we will first start with its y-intercept. The y-intercept of a line is the point where the line crosses the y-axis. Since our y-intercept is -2, we start by plotting the point that is down 2 units on the y-axis and we call that point A.
From there we take our slope of 3/4 so our rise is 3 and our run is 4 and we end up at point B. Now we can connect the two points and we have our line.
I attached the image of the line in the image provided.
Dayla earns $108.75 for working 15 hours of holiday open rap at this rate how much money will see you earn if she works 18 hours the next week explain
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15 hours to $108.75
1 hour to 108.75/15 = $7.25 per hour
dayla would earn (7.25*18) for the preceding week which $130.50
What did the inventor of the 10 ton truck so often say
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Answer:
This is an equation in which we have to find the slope of the line. We are supposed to draw the line for the two given points.
Step-by-step explanation:
The equation and the graph are solved as:
For graph One: B=(4,4)(1,2) for that m= 2/3. E=(2,0)(-4,4), for this m=-2/3. O=(1,-3)(-3,-4),m=1/4.for Second graph: I=(-1,-3)(2,3), m=2. E=(-4,-3)(-2,-1), m=-2. O=(-3,0)(-1,5),m=5/2. for the third graph:E=(0,2)(5,-1),m=-3/5. D=(5,6)(2,-1), m=7/3.L=(-5,2)(0,-3),m=-1.for the fourth graph: D=(0,0)(2,-6),m=-3. G=(4,5)(-2,4),m=1/6. S=(2,-3)(-5,-3), m=0.Now the Graphical data and the results are attached to the answer, given hope it helps out.
What is the prime factorization of 126
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The prime factorization of the number 126 is 2,3,3, and 7.
What is prime factorization?Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2,3, and 3.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is 126. The prime factorization of the number 126 will be calculated as:-
126 = 2 x 3 x 3 x 7
Hence, the prime factorization of the number 126 is 2,3,3, and 7.
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who good at the math
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Does antibiotics help kill the common cold??
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Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 5(x + 8)2(x - 8)3
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
B. -8, multiplicity 2; 8, multiplicity 3
C. -8, multiplicity 3; 8, multiplicity 2
D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1
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the true answer is B. -8, multiplicity 2; 8, multiplicity 3
because
e.g: (x + 8)2= (x- (-8))², -8 is the zero and 2 is the multiplicity
The given polynomial has roots -8 with multiplicity 2 and 8 with multiplicity 3. Hence option B is correct.
Use the concept of polynomial defined as:
An expression that contains exponents, variables, and constants that is combined using mathematical operations such as addition, subtraction, multiplication, and division is known as a polynomial.
The given polynomial is:
f(x) = 5(x + 8)²(x - 8)³
To find its root equate this polynomial to 0.
Then,
5(x + 8)²(x - 8)³ = 0
(x + 8)²(x - 8)³ = 0
(x + 8)(x + 8)(x - 8)(x - 8)(x - 8) = 0
Therefore,
x = -8, -8, 8, 8, 8
Hence,
It has root -8 with multiplicity 2 and 8 with multiplicity 3 which is option B.
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The complete question is:
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 5(x + 8)²(x - 8)³
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
B. -8, multiplicity 2; 8, multiplicity 3
C. -8, multiplicity 3; 8, multiplicity 2
D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1
what is 4.09 rounded to the nearest
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A1+a2+a3=180 solve for a1
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_______________________
or:
_______________________
A1 = 180 - a2 - a3.
_______________________.
Since there are no values given, we solve for "A1" by isolating "A1" and solving in terms of the remaining values.
What is the solution of the equation?
4p/6+27=39
A. 22
B. 99
C. 4
D. 18
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We simplify the equation to the form, which is simple to understand
4p/6+27=39
Simplifying:
+ 0.666666666667p+27=39
We move all terms containing p to the left and all other terms to the right.
+ 0.666666666667p=+39-27
We simplify left and right side of the equation.
+ 0.666666666667p=+12
We divide both sides of the equation by 0.666666666667 to get p.
p=18