Answers
Using the slope-intercept form, the slope, y-intercept and equation of the graph are -1/7, 5 and y = -1/7x + 5 respectively
Equation of Straight LineThe general equation of straight line is given in slope-intercept form as
y = mx + c.
In the graph given, the function is a straight line with slope and y-intercept.
Taking two points from the graph.
A= (5, 0)B = (-2, 1)The slope of the equation can be calculated using the points
slope (m) = y₂ - y₁ / x₂ - x₁
m = 1 - 0 / -2 - 5
m = 1 / -7
The slope is -1/7
From the graph, we can see the point in which the line passes through the y - axis and it is known as the y - intercept.
The y - intercept on this graph is 5
The slope- intercept form can be written as
y = -1/7x + 5
a) When x = -1, y = ?
y = -1/7x + 5
y = -1/7(-1) + 5
y = 1/7 + 5
y = 36/7
b) When y = 7, x = ?
y = -1/7x + 5
7 = -1/7x + 5
x = -14
c) The y - intercept of the graph is 5
d) The x-intercept of the graph is at -2.2
e) The slope of the line is -1/7
f) The equation of the line is given as y = -1/7x + 5
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Related Questions
A department store buys 400 shirts at a cost of $4,800 and sells them at a selling price of $20 each. Find the percent markup.
Answers
40% is the percent markup.
What does math mean by percentage?
A value or ratio that may be stated as a fraction of 100 is referred to in mathematics as a percentage. Divide the number by the total and multiply by 100 to find the percent of a given number. , a.
an a, the in the an in the an in the an in the an in the Per 100 is what the word percentage signifies.
= 1 - 4800 /20 ÷ 400
= 1 - 12/20
= 1 - 3/5
= 5 - 3/5
= 2/5
Multiply a number to both the numerator and the denominator
2 *20/5 *20
= 40/100
= 40%
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EXERCISE 12.1 There are 20 girls and 15 boys in a class. (a) What is the ratio of number of girls to the number of boys? (b) What is the ratio of number of girls to the total number of students in the class?
Answers
Answer:
(a) 4 : 3
(b) 4 : 7
Step-by-step explanation:
a)
20:15
divide both by the HCF which is 5
4:3
b) 20 + 15 = 35
20 : 35
divide both by HCF which is 5
4:7
Pls help on my math question and for part c it’s 48 since the teacher gave us answer only for tht part and show work pls :)
Answers
a) Equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) Width of the rectangular rug be 3.5 feet
c) Diagonal of the rectangle is 12.5 feet
What is the area of the rectangle?
The area of a rectangle is the area occupied by the rectangle within its four sides or boundaries.
The area of a rectangle depends on its sides. Basically, the formula for area is equal to the product of the length and width of a rectangle. The perimeter of a rectangle is equal to the sum of all its four sides
It is given that area of a rectangular rug id 42 square feet. The rug is 8 feet longer than its wide
a) Let the width of the rectangular rug be x feet
Length of the rectangular rug = (x+8) feet
area of rectangular rug = Length × width = x × (x + 8) = [tex]x^{2}[/tex] + 8x
area of rectangular rug = 42
[tex]x^{2}[/tex] + 8x = 42
[tex]x^{2}[/tex] + 8x - 42 = 0
Therefore, equation for length and width of the rectangular rug be [tex]x^{2}[/tex] + 8x - 42 = 0
b) If the length of the rectangle is 12 feet
Area of rectangle = 42 square feet
length × width = 42 square feet
12 × width = 42 square feet
width = 42/12 = 3.5
Therefore, width of the rectangular rug be 3.5 feet
c) Length of the diagonal of the rectangle = [tex]\sqrt{length^2+width^2}[/tex]
= [tex]\sqrt{12^2+3.5^2}=\sqrt{144+12.25}=\sqrt{156.25}= 12.5[/tex]
Therefore, diagonal of the rectangle is 12.5 feet
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Please find the equation that fits this chart
Answers
Answer: y = 3/4x
Step-by-step explanation:
(100, 75)
(200, 150)
find slope
150 - 75 / 200 - 100
75 / 100 = 3/4
plug values into formula y=mx+b to find y-intercept
y = 3/4x + b
75 = 3/4(100) + b
75 = 75 + b
b = 0
Share 850 between 2
Give the answer in it's simplest form.
Answers
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
850 ÷ 2 = 425
The amount each person got is 425.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The total amount = 850
The number of people to share = 2
Now,
The amount each got.
= 850/2
= 425
Thus,
The amount each person got is 425.
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Fred is playing tennis. For every 2 of his serves that land in, 3 serves land out. If he hit 22 serves in, how many serves landed out?
Answers
Name two sets of alternate interior angles
Answers
Answer:
1st and 3rd ones.
Step-by-step explanation:
<BAD and <ADE are equal because the transversal connects the two angles on alrenate sides. Also <CBA and <CED are equal, as they are again, alternate and the transversal (the diangonal line) connects them.
what is 2(x + 4) equivalent to
Answers
Answer:
2 x x = 2x
2 x 4 = 4
so 2x + 8 is the answer.
To solve this equation we must expand its terms so that we can then multiply and add.
¿What are the equations?Equations are those mathematical equalities divided between two expressions which are called members and separated by their equal sign, in which known elements and unknown or unknown data appear, related by mathematical operations.
We solve the problem:2 (x + 4)2x + 2 × 42x + 8So, our result of the equation is 2x + 8
¡Hope this helped!
What is the domain of this function?
Answers
Answer:
C) x >= 3
Step-by-step explanation:
The domain of the function is all the x's for this function/graph/equation.
Since you have a graph, it is all the x's where the graph exists. The graph exists from 3 to the right (forever), so x can be everthing 3 and greater.
x >=3
3x + 4y =8 write equation in slope intercept
Answers
Answer:
[tex]y=2-\frac{3}{4} y[/tex]
Step-by-step explanation:
Slope intercept form is y=mx+b
m is the slope; b is the y-intercept
Therefore, we need to isolate the y variable first
3x + 4y = 8
-3x -3x
4y=8-3x Divide both sides by 4 to leave y by itself.
/4 /4
[tex]y=2-\frac{3}{4} y[/tex]
PLEASE HELPPPP brainiest answer will be marked.
Answers
35/12 is the value of tanZ
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Tanz is also given by ratio of sinz and cosz
The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side.
tanz=opposite side/adjacent side
tanz=xy/yz
=35/12
Hence, 35/12 is the value of tanZ
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pls help due tomm!! super easyy
Answers
Answer:see below
Step-by-step explanation:
a+4<b+4
If If you can help that would be great
3n < 3
Answers
Answer:
n<1
Step-by-step explanation:
3n<3
/3. /3
n<1
hopes this helps
Answer:
n < 1
Step-by-step explanation:
3/3 n < 3/3
n < 1
I need an explanation on how to solve it!
Answers
The factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
What is a factor?
A factor is a number/expression that divides another number/expression, leaves zero remainder . In other words, if multiplying two numbers/expressions gives us a product, then the numbers/expressions we are multiplying are factors of the product because they are divisible by the product.
f(x) = x³ +8x² + 20x + 16
The value of x at which f(x) is zero, is the root
x= -2 is a root
so, ( x- (-2) ) = ( x+2) is a factor
Divide the polynomial x³ +8x² + 20x + 16 by ( x+2) using long division method:
x+2) x³ +8x² + 20x + 16 ( x² + 6x + 8
x³ + 2x²
_______________________
6x² + 20x + 16
6 x² + 12x
____________________________
8x + 16
8x + 16
__________________________
00
f(x)= (x+2) (x² + 6x + 8 )
Factors of (x² + 6x + 8 ) are (x+2)(x+4)
f(x) = (x+2) (x+2)(x+4)
Thus, the factored form of f(x) is f(x) = (x+2) (x+2)(x+4)
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What is the equation of the line that passes through the point (-1,-5) and has a slope of 1?
Answers
Answer:
y=x-4
Step-by-step explanation:
if the slope is 1, the y intercept is -4
What is the equation of the line that passes through the point (-1,-5) and has a slope of 1?
The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope of the line and b is the y-intercept, which is the point where the line crosses the y-axis.
Since the line passes through the point (-1,-5) and has a slope of 1, we can substitute these values into the equation to solve for the y-intercept. We get:
y = 1x + b
(-5) = 1(-1) + b
-5 = -1 + b
-4 = b
Therefore, the equation of the line that passes through the point (-1,-5) and has a slope of 1 is y = 1x - 4.
Solve over the complex number x^2+16=0
Answers
X^2=-16
Take square root of both side
X=+4, x=-4
X1=-4i, x2=4i
May I get Brainly
Bart is writing lines on a chalkboard that is initially empty. It ordinarily takes Bart 50 minutes to cover the whole board; however, today, Nelson is erasing the board while Bart is writing. Nelson can erase the board in 80 minutes by himself. If they work simultaneously, how long will it be until the whole board is covered?
Answers
think about this conceptually first. The difference between their rates of work is going to be the total speed at which the chalk board fills up (speed of writing - speed of erasing).
Ok, so we need to find the speed that Bart is writing, and the speed at which Nelson is erasing.
Bart: 50 minutes/ 1 board
However, we want to find his speed, which will be in boards/minute. Flip the fraction to get 1 board/50 minutes. Then multiply top and bottom by 1/50 in order to get 1/50 board per minute.
Bart's Speed = 1/50 board per minute
Do the same for Nelson, to get 1/80 board per minute (erasing).
The difference between these will be 1/50 - 1/80 = 3/400 board per minute
Since we want to know how long it will take to fill the board at this rate, we multiply 1 board * 1/(3/400) minute per board - this is the same as 1 * 400/3
So, the answer is 400/3 minutes, or 133.33 minutes, or 2 hours, 13 minutes.
#2
This is the same idea as #1. His speed without the headwind is 2000 miles/5 hours = 400miles/hour.
His speed with the headwind is 2000 miles/8 hours = 250 miles/hour.
400m/h - 250m/h = 150m/h
The speed of the wind is 150 miles/hour.
If you rent a car from Caleb's Cars, you'll pay a $61 fee
and $24 per day. At Vinny's Vehicles, you'll pay a $105 fee and $20 per day. Determine the number of days you can rent a car from either place and pay the same amount. Use substitution or elimination.
Answers
11 days are required to rent a car at both locations at the same price.
What is a System of Equations?
A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step towards solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.
1st equation: 61+24x=y
Equation 2: 105+ 20x Equals y
Eq. 1 - 2 - subtracted
105-61+20x-24x= 0
44-4x= 0
4x = 44
4 divided by both sides
x= 44/4
x= 11 days
Hence, 11 days are required to rent a car at both locations at the same price.
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help me with this please !!!!
Answers
Answer: 2 times!
Step-by-step explanation:
(-1,0)
(4/3, 0)
Answer:
C.2
Step-by-step explanation:
See attached: the graph of your function
1) Triangle ABC has vertices A(6,2), B(3,4), and C (2,8). If the triangle is rotated
90° counterclockwise, what are the coordinates of the image A'B'C'?
Answers
The coordinates of the image A'B'C are A(-2, 6) B(-3, 4) C(-8, 2)
How do you find the coordinates of a triangle?A specific example of barycentric coordinates for a triangle is referred to as triangular coordinates, and it is also known as a ternary plot or areal coordinates. Triangular coordinates can also refer to any of at least three additional related systems of coordinates in the Euclidean plane.The coordinate geometry formula for the area of a triangle A = (1/2) |x1 1 (y2 2 y3 3) + x2 2 (y3 3 y1 1) + x3 3 (y1 1 y2 2)|, where (x1 1,y1 1), (x2 2,y2 2), and (x3 3,y3 3) are the coordinates of the triangle's vertices, gives the area of a triangle in coordinate geometry.y = mx + c. The points whose coordinates fulfil the equation y = mx + c, on the other hand, always lie on the line with gradient m and y-intercept c.Given data :
Triangle ABC has vertices A(6,2), B(3,4), and C (2,8).
Although I am aware that the coordinates must rotate around the origin, I am unsure of the signs (+ or -).
Consequently, the shape is in the second quadrant of the graph, and the 90-degree angle should be in the fourth quadrant rather than the first (which is 180 degrees anticlockwise) or third (.180 anticlockwise)
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Find the value of each variable
I’ve figured out Z, but need help with Y.
Answers
Answer: Y=112
Step-by-step explanation: Add all of the interior angles you have to get 248 and subtract 248 from 360.
67+80+101 = 248.
360-248 = 112
if a/b=c, then a= bc
A. If a/b ≠ c, then a ≠ bc.
B. If a =bc then a/b=c.
C.Ff a ≠ bc, then a/b ≠c
D. If a/b=c. then a≠ bc
Answers
Even though A and B are both square, AB always equals BA.
How to Prove that if ab=ac, then b=c ?Could someone please assist me in demonstrating that b=c follows from ab=ac and a does not equal 0. You can only apply the field axioms. Here is my try.
ab=ac then, ab-ac=0
a(b-c)=0
a(0)=0 Since a cannot equal zero (this has already been shown), (b-c) must also equal zero, leaving us with...
b-c=0
b=c
The only issue I have with the above is that I presupposed that a did not equal 0. I'm not sure if this is okay because the original theorem I'm attempting to prove includes the claim that "a does not equal 0."
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The surface area of this cylinder is 118.378 square yards. What is the height?
Use ≈ 3.14 and round your answer to the nearest hundredth.
r = 2.9 yd
Answers
The surface area of this cylinder is 118.378 square yards. 3.6 yard is the height.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
For instance, the surface area of a cube is its surface area if we need to determine how much paint is needed to paint it. Square units are used to measure it at all times.
The terms "lateral surface area," "curved surface area," and "total surface area" refer to three different forms of surface area.
Surface area and volume are the cylinder's two main characteristics because it is a three-dimensional form. The area of the two circular bases combined with the cylinder's curved surface area equals the cylinder's overall surface area. Its volume is the three-dimensional area that a cylinder takes up.
Given that,
Surface area (A) of the cylinder = 118.378 square yards.
radius (r) = 2.9 yard
As we know, A = 2πrh + 2πr²
putting the values we get -
or, 118.378 = 2πr (h + r)
or, 118.378 = 2 × 3.14 ×2.9 × (h + 2.9)
or, 118.378 = 18.212 × (h + 2.9)
or, 6.5 = h + 2.9
or, h = 6.5 - 2.9
or, h = 3.6 yard
Thus, 3.6 yard is the height of the cylinder.
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Graph the equation-5y=-6x+15
A.linear
B.quadratic
C.exponential
D.absolute value
Answers
The graph of the equation would be linear in nature.
Option (A) is correct.
What is a graph of an equation?
The picture is obtained by plotting all the points of an equation or inequality. If there is only one variable, the graph is on a number line. If there are two variables, the graph is on the coordinate plane. If there are three variables, the graph is in three-dimensional coordinates.
The given equation is
-5y = -6x + 15
Now arrange it properly, we get
6x - 5y = 15
Now draw the graph, we get
Hence, the degree of the equation is 1. so the graph of the equation would be linear in nature.
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Solve for x
Note drawn to scale
Geometry
Answers
Answer:
x=2
Step-by-step explanation:
1. Set the proportions equal: 5/2x-3 = 15/27
2. Butterfly method: 27x5 = 3x-3 x 15
3. Continue solving: 135 = 45x-45
4. Break it down: 45x = 90
5. Solution: 2 because 45 x 2 is equal to 90
Answer:
x=4
Step-by-step explanation:
[tex]\frac{3x-3}{5}=\frac{24+3x}{20}[/tex] Original equation. A proportion can be set up so that
you can find x. One proportion can be one side over the
other side of one of the smaller triangle set equal
to the total length of the larger triangle. 27 and -3 can
combine forming 24, which continues to be added to 3x.
15 and 5 can be combined to become 20.
20(3x-3)=5(24+3x) Now, cross multiply. This involves the distribution of one
term to the terms it's multiplied by. 20*3x=60x and
20*-3=-60. 5*24=120 and 5*3x=15x.
60x-60=120+15x Now, the goal is to get x alone on one side. You can do
this by combining like terms. Subtract 15x from both
sides and add 60 to both sides.
45x=180 Then, divide by 45 to get x by itself.
x=4 This is your answer.
Ohdhhdhdhdgdueyehehehhegehehehgegr
Answers
Answer:
JSHKAKSBKSBAK?
Step-by-step explanation:
What is the slope of the function
Y = -5/4x - 3
PLEASE HELP ASAP
Answers
Please help me solve this I’ll give brainless
Answers
Answer:
a) Solving by factoring, you move 225 to the left side by subtracting then making the equation equal to 0.
b) x = -15
x = 15
Step-by-step explanation:
1. x^2 -225=0
2. Find what two numbers equal to -225 then factor by using the expression a^-b^2=(a-b)(a+b)
In this case, -15(15)=-225
(x-15)(x+15)=0
3. Find x
x-15=0
x+15=0
This equation has 2 solutions
x=-15
x=15
To check answer, one of the solutions into X
The ribbon on a spool is 13 yards long. How many 4 inch pieces of ribbon can be cut from the spool?
Answers
Answer:
117
Step-by-step explanation:
13 yards = 468 inches
468 ÷ 4 = 117
2) AABC and ADEF are shown below. The
m/A=51°and m/F =39°. Is AABC~ADEF?
Fill in the blanks with words from the
word bank then read it to see if it
sounds correct.
the triangles are
because all angles
and the sides are
Word bank: yes, no, maybe, parallel,
vertical angles, corresponding,
complimentary, congruent, right angles,
similar, proportional.
Answers
Answer:
Yes, the triangles are similar, because all angles are congruent and the sides are proportional.
Step-by-step explanation:
In similar triangles the corresponding angles have the same measurement. The sum of the interior angles of a triangle is 180. Both triangles have a 90 angle. 180-90 = 90. The other two answer must add to 90.
90 - 51 = 39. So each triangle has a 90, 51 and 39 degree angle.
The sides are also proportional. The scale factor from the smaller triangle to the larger is 2 and if you go the other way the scale factor is 1/2