Answer: Slope = 8.000/2.000 = 4.000
x-intercept = 14/-4 = 7/-2 = -3.50000
y-intercept = 14/1 = 14.00000
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(4*x+14)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-4x-14 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-4x-14 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 14/1 so this line "cuts" the y axis at y=14.00000
y-intercept = 14/1 = 14.00000
Calculate the X-Intercept :
When y = 0 the value of x is 7/-2 Our line therefore "cuts" the x axis at x=-3.50000
x-intercept = 14/-4 = 7/-2 = -3.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 14.000 and for x=2.000, the value of y is 22.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 22.000 - 14.000 = 8.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 8.000/2.000 = 4.000
Geometric figure: Straight Line
Slope = 8.000/2.000 = 4.000
x-intercept = 14/-4 = 7/-2 = -3.50000
y-intercept = 14/1 = 14.00000
a mat is 3m long and xm wide what is the area in m²
Step-by-step explanation:
Area = Length * Width = (3m)(xm) = 3xm².
In a series of 4 one day cricket matches, the runs scored by Pakistan and Australia are given below: (06 Marks) Match Pakistan Australia First 102 208 Second 202 192 Third 360 241 Fourth 276 203 Find: (i) What is the average score of Pakistan in one match? (ii) What is the average score of Australia in one match? (iii) Which team performed better?
Step-by-step explanation:
Scores of Australia in all four matches starting from 1st 208, 192, 241, 203 respectively.
Similarly, scores of Pakistan in all four matches starting from 1st 102, 202, 360, 276 respectively.
The avg of Pakistan in one match = (102+202+360+276)/4 = 235
The avg of Australia in one match = (208+192+241+203)/4= 211
Since, the avg score of Pakistan is more than that of Australia, Pakistan performed better.
What value of x is in the solution set of 8x - 6 > 12 + 2x?
O-1
O0
O3
O5
The answer of X will be equal (3)
The number of girl child per family was recorded for 1000 families with 3 children. The data obtained was as follows: [2] Number of Girls 0 1 2 3 Number of Families 112 314 382 192 Suppose a family is chosen at random, find the probability that it has: (a). At most one girl (b). More girls than boys
Answer:
[tex]a.\ Probability = 0.426[/tex]
[tex]b.\ Probability = 0.574[/tex]
Step-by-step explanation:
Given
[tex]Total\ Families = 1000[/tex]
Number of Girls : 0 ----> 1 -----> 2 ------->3
Number of Families: 112 -> 314 --> 382 ---> 192
Solving (a): At most one girl
From the table, the number of families with at most one girl is: 112 + 314
i.e.
Number of Girls : 0 ----> 1
Number of Families: 112 -> 314
So, we have:
[tex]At\ Most\ One\ Girl = 112 + 314[/tex]
[tex]At\ Most\ One\ Girl = 426[/tex]
The probability is then calculated as:
[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]
[tex]Probability = \frac{426}{1000}[/tex]
[tex]Probability = 0.426[/tex]
Solving (b): More girls
From the table, the number of families with more girl is: 382 + 192
i.e.
Number of Girls : -----> 2 ------->3
Number of Families: --> 382 ---> 192
So, we have:
[tex]More\ Girls = 382 + 192[/tex]
[tex]More\ Girls = 574[/tex]
The probability is then calculated as:
[tex]Probability = \frac{More\ Girls}{Total}[/tex]
[tex]Probability = \frac{574}{1000}[/tex]
[tex]Probability = 0.574[/tex]
MATH PLS HELPPP BRANLIETS 5 POINTS!!!!!!!!!!
Answer:
A?
Step-by-step explanation:
I think it is A but I'm not 100% sure
Answer:
The total cost of riding in the taxi
Step-by-step explanation:
Solve the equation below for x:
0.25(x - 13) = 7
Answer:
x=41
Step-by-step explanation:
0.25(x-13)=7
We move all terms to the left:
0.25(x-13)-(7)=0
We multiply parentheses
0.25x-3.25-7=0
We add all the numbers together, and all the variables
0.25x-10.25=0
We move all terms containing x to the left, all other terms to the right
0.25x=10.25
x=10.25/0.25
x=41
The solution to the equation; 0.25(x - 13) = 7 as given is; x = 41
According to the question;
We are required to solve for x in the equation; 0.25(x - 13) = 7The solution to the given equation can be evaluated as follows;
0.25(x - 13) = 70.25x - 3.25 = 70.25x = 10.25x = 41.
Read more on one variable equation;
https://brainly.com/question/21528555
What is the HCF of 200 and 240
Answer:
It is 40
Step-by-step explanation:
The highest common factor of 200 and 240 is 40
In a candy mix there are 4 green bars for every 3 red bars. How many red bars are there if there are 200 green bars? A. 150 red bar's B. 199 red bars c.201 red bars d. 267 red bars
Step-by-step explanation:
4 green bars to 3 red bars
=> 200 green bars to 3 * (200/4) = 150 red bars.
There are 150 red bars. (A)
Answer:
Step-by-step explanation:
A - 150 is the a answer
4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50
now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150
A ball bounces from a height of 8 feet. The ball bounces to 80% of its previous height with each bounce. How high (to the nearest tenth of a foot) does the ball bounce on the fifth bounce?
Answer:
2.6 feet
Step-by-step explanation:
At each point, there is a loss of 20% (since it flies to 80%)
a) 8 - 20% of 8
= 8-1.6 = 6.4
b) 6.4 - 20% of 6.4
= 5.12
c) 5.12 - 20% of 5.12
4.096
d) 4.096 - 20% of 4.096
3.2768
e) 3.2768 - 20% of 3.2768
= 2.62144 feet
A ladder 12 m long is propped up against a building at an angle of 15°. How far up the wall does the ladder go?
The ladder can go as far as 3.1m
Application of SOH CAH TOAThe given set up is. a triangle with the following parameters
Angle of elevation = 15 degrees
Hypotenuse = 12m
Required
Height of the building
Using the expression
sin theta = opp/hyp
sin 15 = h/12
h = 12sin15
h = 3.1m
Hence the ladder can go as far as 3.1m
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
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Ernesto baked 3 cakes in 2 1/2 hours. Assume that the number of cakes baked varies directly with the number of hours. Write and solve a direct variation equation to find how many cakes can he bake in 7 1/2 hours.
Answer: We assume that the number of cakes baked varies directly with the number of hours. Hence, he can bake 9 cakes in 7.5 hours.
Step-by-step explanation:
3.3 repeating as a fraction
Answer:
The correct answer is 33/100.
Step-by-step explanation:
To transform a decimal into a fraction, follow the steps below:
Step 1: Change the Fraction into a Decimal:
3.30 = 33/100
Step 2: Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Step 3: Divide both numbers by the GCF:
3.30 =
33/1 ÷ 100/1 =
33/100
Therefore, the correct answer is 33/100.
Hope this helps! :D
3.3 repeating in fraction form will be 33/100.
The correct answer is 33/100.
Given, 3.3 in repeating form.
To transform a decimal into a fraction, follow the steps below:
Change the Fraction into a Decimal:
3.30 = 33/100
Find the GCF of both numbers:
The GCF (Greatest Common Factor) of 33 and 10 is 1.
Divide both numbers by the GCF:
3.30 = 33/1 ÷ 100/1
= 33/100
Therefore, the correct answer is 33/100.
Know more about fraction,
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WILL GIVE BRAINLIEST!!! Which equation is modeled below? 4 x tiles and 2 negative 1 tiles = 2 x tiles and 4 1 tiles. 2 x + (negative 2) = negative 2 x + 6 4 x + (negative 2) = negative 2 x + 6 2 x + 4 = 6 x + 2 Negative 2 x + 4 = 6 x + (negative 2)
Answer:
B
Step-by-step explanation:
4x+ (-2) =-2x+6
just took the quiz
Answer:
B) 4 x + (-2) = -2 x + 6
Step-by-step explanation:
3y + 20 = 3 + 2y
A. -1/17
B.7 2/3
C. 23
D. -17
help i don’t understand!!
the length of a rectangular yard is 4 feet more than the width. the perimeter of the yard is 208 feet. write the equation that represents the perimeter of the yard. let w represent the width. solve the equation. what are the dimensions of the yard?
Answer:
Length = 54 ft.
Width = 50 ft.
Step-by-step explanation:
Let the width of the rectangle be 'w'.
According to question ,
Length = w + 4
Perimeter = 208 ft.
We know that [tex]perimeter = 2(l + w)[/tex] where l = length & w = width
So,
[tex]2(w + 4 + w) = 208[/tex]
[tex] = > 2(2w + 4) = 208[/tex]
[tex] = > 2w + 4 = \frac{208}{2} = 104 [/tex]
[tex] = > 2w = 104 - 4 = 100[/tex]
[tex] = > w = \frac{100}{2} = 50[/tex]
Width = 50 ft.
=> Length = 50 + 4 = 54 ft.
[tex] {x}^{3} - 4x + \sqrt{{x}^{3} - 4x + 9 } = 3[/tex]
Help me please
The diffrence between 9 and half of a number is 16 what is the number?
Answer:
is this how the question is really wrote out. it doesn't look like english
Step-by-step explanation:
half of 9 is 4.5
The perimeter of the rectangle is 10. Find the value of x.
Answer:
Hi! Is there a picture?
Step-by-step explanation:
Answer:
The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...
PLEASE PLEASE HELP FAST!!
Find the value of x in the figure below. Show your work. A 9 in 9 in 2x-4 44° ОС B 13 in
Answer:
x=24 degrees
Step-by-step explanation:
2x-4=44 <----The triangle is isosceles, in which the two base angles are equal
2x=48 <-----Solve the equation
x=24 <-------Answer
I need help pls with this question
A circle is inscribed in a square. If the sum of the perimeter of the square and the circumference of the circle is 100cm, calculate the radius of the circle.
Answer:
7 cm
Step-by-step explanation:
Let the side of square be x.
Perimeter of square = 4x
Diameter of circle = x
Radius of circle = x/2
Circumference of circle = 2 * 22/7 * x/2 = 22/7x
According to Question,
4x + 22/7x = 100
(28+22) / 7x = 100
50x = 700
x = 14
Hence, diameter of circle = 14 cm
Radius of circle = (14/2) cm = 7 cm
Red snapper cost $4.15 per pound find the cost of 3.5 pound round to the nearest cent
Answer:
$14.53 for 3.5 pounds of red snapper
Step-by-step explanation:
Answer:
14.52?
Step-by-step explanation:
i multiplied 4.15 by 3.5
Please help me choose the right equation!!! I’m a taking a test and really want to pass!!!
Answer:
Step-by-step explanation:
Emily makes $24 per hour. She worked 80 hours of regular time for the last pay
period and 5 hours of overtime at $36 per
hour.
Answer: 2,100$
Step-by-step explanation:
The conservation club has 32 members. There are 18 girls in the club. What is the ratio of girls to boys in simplest form?
79
916
97
716
Answer:
9:7
Step-by-step explanation:
number of boys is 32 - 18 = 14
ratio will be 18:14
then 9:7
Answer: 9:7 hope this help i did the quiz so i know answer
Step-by-step explanation:
Using Point Slope Formula, write an equation that passes through (-2, 6) and ( 8, 9)
Answer:
y - 9 = 3/10(x - 8)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Point-Slope Form: y - y₁ = m(x - x₁)
x₁ - x coordinate y₁ - y coordinate m - slopeStep-by-step explanation:
Step 1: Define
Point (-2, 6)
Point (8, 9)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{9-6}{8+2}[/tex]Subtract/Add: [tex]\displaystyle m=\frac{3}{10}[/tex]Step 3: Write Function
Plug in variables into general form.
y - 9 = 3/10(x - 8)
y - 6 = 3/10(x + 2)
Express the ratio 12:3:9 in its simplest form
Answer:
4:1:3
Step-by-step explanation:
In triangle △WXY, XY ≅ WX and m∠X=38 Find m∠W
Answer:
[tex]71^{\circ}[/tex]
Step-by-step explanation:
Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:
[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)
[tex]2(m\angle W) = 142[/tex]
[tex]m\angle W=71^{\circ}[/tex]
Hope this helps :)
Giving brainliest help I need it, ignore answers I put unless their right
Answer:
For the middle one 20 /9 or 2 and 2/9
Step-by-step explanation:
20 /9 or 2 and 2/9
Do you need help with the rest or no?