Solution
Step 1:
In order to solve a pair of simultaneous equations graphically, we first draw the graph of the two equations simultaneously. We get two straight lines intersecting each other at a common point. This common point intersection of two lines gives the solution of the pair of simultaneous equations.
Final answer
(0, -2)
Solve for x:
3x – 2 = x + 8
Answer:
x=5
Step-by-step explanation:
Let's solve your equation step-by-step.
3x−2=x+8
Answer:
Step-by-step explanation:
3x-2=x+8
2x-2=8 (get x's on both sides of equation, subtract x from 2x)
2x=10 (get x's by themslevs, add 2 to 8)
x=5 (divide 10 by 2, x=5)
How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
What fraction with a numerator of 2 is equivalent to 48?
Answer:
\(\frac{2}{\frac{1}{24} }\)
Step-by-step explanation:
2/x = 48
48x = 2
x = (2)/ (1/24)
\(\frac{2}{\frac{1}{24} }\) = 48
Which number is a zero of the function f?
f(x) = x2 - x - 6
F 6
G2
H 3
IO
Answer:
zeros of the function are −2 and 3
Step-by-step explanation:
there is no -2 so H.3
Math help guys please
Answer:
- 4 / 9
Step-by-step explanation:
..........................
Plot each point that is a horizontal distance of 6 and a vertical distance of 2 from the origin.
The points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)
What are points?Points are undefined terms in geometry, however they are used to represent the coordinate or location of items in a coordinate plane
How to plot the point?The features of the point are given as:
Horizontal distance = 6
Vertical distance = 2
The above means that:
x = 6
y = 2
The points are then represented as:
(x, y) = ±(x. y)
So, we have
(x, y) = ±(6, 2)
When the above equation is expanded, we have
(x, y) = (6, 2), (-6, 2), (6, -2), (-6, -2)
Next, we plot the points on a coordinate plane
See attachment for the graph of the plane
Hence. the points that are a horizontal distance of 6 and a vertical distance of 2 from the origin are (6, 2), (-6, 2), (6, -2), (-6, -2)
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the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!!!!!!!!!!!! 50 POINTS ASAP!!!!!50 POINTS ASAP!!!!!
Which of the following statements about BC and BD is true?
Answer: Its. C. Line BC is longer than line BD
Step-by-step explanation:
Find the product of ¾ and 1⅓ a)0 (b)1 (c)12 (d)1⁵/7
The value of the product of the number as given in the task content is; Choice B; 1.
What is the value big the product of the values; ¾ and 1⅓?It follows from the task content that the numbers whose product are to be determined are; ¾ and 1⅓.
To effectively multiply, we must convert the mixed number to a fraction as follows;
1⅓ = 4/3.
Hence, the product is; 4/3 × 3/4 = 12/12 = 1.
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What is inequality in maths?
Inequalities refer to the mathematical expressions in which both sides are not equal.
In Mathematics, equations are not always being same on both sides with an 'equal to' symbol. Sometimes it can be about 'not an equal to'(! =) relationship like something is greater or less than the other.
In mathematics, inequality refers to a relationship that makes a non-equal comparison between any two numbers or other mathematical expressions. These mathematical queries or expressions come under algebra and are called inequalities.
these are the basic inequality operations.
1. x ≠ q means that x is not equal to q
2. x < q means that x is less than q
3. x > q means that x is greater than q
4. x ≤ q means that x is less than or equal to q
5. x ≥ q means that x is greater than or equal to q
Here are some different types of inequality.
1. Polynomial inequalities
2. Absolute value inequalities
3. Rational inequalities
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Last week, a candy store sold 6 1/3
pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate. DUE NOWW HELP
Question 1
How many pounds (in mixed number form) of milk chocolate did the candy store sell last week?
Responses
A 24 2/3
B. 25 2/3
C. 25 1/3
D. 24 1/3
Question 2
How many more pounds of milk chocolate were sold than white chocolate at the candy store last week?
Responses
A. 19 2/3
B. 18
C. 19
D. 18 2/3
1)The number of milk chocolate that sold last week is = \(25\frac{2}{3}\) B is correct
2)white chocolate at the candy store last week is 19.
Last week, a candy store sold \(5\frac{1}{3}=\frac{16}{3}\) pounds of white chocolate. It sold 4 times as much milk chocolate as white chocolate.
The number of milk chocolate did the candy store sell last week.
Since the candy store sold 4 times as much milk chocolate as white chocolate, it sold:
\(4 *\frac{ 19}{3 } =\frac{ 76}{3}\\ pounds\ of\ milk\ chocolate.= 25 \frac{2}{3}\)
option B is correct.
2)
To find out how many more pounds of milk chocolate were sold than white chocolate at the candy store last week, we can subtract the amount of white chocolate sold from the amount of milk chocolate sold:
\(\frac{76}{3} - \frac{19}{3} \\= \frac{57}{3}\\ = 19\ pounds.\)
option C is correct
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what is the answer to this? solve for x
4x+4=24
Answer: x=5
Step-by-step explanation:
4x+4-4=24-4
4x=20
x=5
josh and jill bought 196 square acres of land. all four sides of the land are equal. what is the perimeter of the land?
Answer:
49
Step-by-step explanation:
What is the diameter of a tire in inches given the following data: P255/95R20 (25.4mm/ inch)?
Based on the information provided in the table (see attachment) for a tire with P255/95R20, the diameter of this tire is equal to 40.79 inches.
What is the area of a circle?The area of a circle can be defined as the space occupied or the region enclosed by a circle within its boundary, and in a two-dimensional plane.
How to calculate the area of a circle?Mathematically, the area of a circle is calculated by using this formula:
Area = πr² = πd²/4
Where:
r is the radius of a circle.d is the diameter of a circle.What is a diameter?In geometry, a diameter can be defined as a straight line segment whose endpoints lie on the circle and passes through the center of a circle.
Based on the information provided in the table (see attachment) for a tire with P255/95R20, we can infer and logically deduce that the diameter of this tire is equal to 40.79 inches.
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PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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-2 (x + 3) i need help... do your thing
Answer: -3
-2x-6=0
-2x=6
x=-3
Step-by-step explanation:
Pre calculus
Help me
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
What is the probability of selecting the 4 of spade or black diamond from a deck of 52 playing cards?
a) 2/52
b) 4/52
c) 3/52
d) 1/5
Answer:
b
Step-by-step explanation:
Answer:
he
Step-by-step explanation:
hi
What is 2 1/2 in inches?
Answer:
Formula: multiply the value in centimeters by the conversion factor '0.393700787402'. So, 2 1/2 centimeters = 2 1/2 × 0.393700787402 = 0.984251968505 inch.
Step-by-step explanation:
The sum of x and y equals 26.
If x= 17, which equation can be used to find the value of the y?
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.
Three- month simple moving average (sma) forecast for the average gas prices are $3.08
$3.16 , $3.29 and predict the average retail gasoline price for june 2020 is $3.54.
What Is a Simple Moving Average (SMA)?A simple moving average (SMA) is defined as an arithmetic moving average calculated by adding recent prices and then dividing that figure by the number of time periods in the calculation average. The formula for SMA is:
SMA = (A₁ + A₂ + ------+ Aₙ )/n
where, Aₙ = the price of object at nth period
n = the number of total periods
We have, a average gas prices for different months. Calculate the three-month moving average, add together the first three sets of data, for this example it would be Dec, January, and February. This gives a total of $9.25 , then calculate the average of this total, by dividing this figure by 3 we get 3-month simple moving average. We have to predict the 3-month simple moving average for June 2020. As we seen in above table we calculate the 3-month simple moving average for different months.
The 3-month simple moving average for June 2020 is ( $3.29 + $3.51 + $3.82 )/3 = $3.54
So, required value is $3.54..
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Complete question:
use the gas prices data below to calculate a 3-month simple moving average (sma) forecast for the average gas prices and predict the average retail gasoline price for june 2020. round your answer to two decimal places, if necessary.
Year - month Averge gas price
19-Dec $3.07
20-Jan $3.10
20-Feb $3.08
20-Mar $3.29
20-Apr $3.51
20-May $3.82
20-Jun
HELP ME I CAN GIVE BRAINLIEST
Answer:
For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.
Look at the tape diagram below for the number of boys and the number of girls in a school. Find total number of students in the school.
Solve the equation
x + x² = 132
Answer:
132÷3=44 the answer is 44 thanks me later
Answer:
Step-by-step explanation:
x + x^2 = 132
x^2 = 132 - x
x = \(\sqrt{132 - x}\)
12 - ___ =7.32
What is the missing blank
Answer:
Your blank answer is 4.68
Step-by-step explanation:
Well lets make the missing blank into a variable.
12 - x = 7.32
This way we can solve for x. Simplify.
Add x to both side.
12 = 7.32 + x
Subtract 7.32 to both side leaving you x.
12 - 7.32 = x
x = 4.68
Answer:
12 - 4.68 = 7.32
Step-by-step explanation:
Now we have to,
→ Find the missing number in the equation.
Let us assume that,
→ Missing number = m
Forming the equation,
→ 12 - m = 7.32
Then the value of m will be,
→ 12 - m = 7.32
→ -m = 7.32 - 12
→ -m = -4.68
→ [ m = 4.68 ]
Hence, the answer is 4.68.
At 10.5 gallon aquarium is 2/3 full how many more gallons of water does it take to fill the aquarium
Answer:
5.25
Step-by-step explanation:
HELP ME raaaaaaaa NOWWWWWWWWWW
Answer:
C: EAF Is the correct answer
Find Linear Functions using Graphs: y = 6x - 4
Answer:
\(x=\frac{y+4}{6}\)
Step-by-step explanation:
y=6x−4
Swap sides so that all variable terms are on the left hand side.
6x−4=y
Add 4 to both sides.
6x=y+4
Divide both sides by 6.
\(\frac{6x}{6}=\frac{y+4}{6}\)
Dividing by 6 undoes the multiplication by 6.
\(x=\frac{y+4}{6}\)
Divide y+4 by 6.
\(x=\frac{y}{6} +\frac{2}{3}\)
ANSWER:
x=1/6y + 2/3
y= 6x - 4
HELP ME PLEASE!!!!!!
ZEARN!!!!
The expression 1 2/5 + 2 2/3 using fifteenths is 3 + 6/15 + 10/15
How to rewrite the expression using fifteenthsFrom the question, we have the following parameters that can be used in our computation:
1 2/5 + 2 2/3
3 + 2/5 + 2/3
To rewrite the expression using fifteenths, we multiply the numerator and the denominator of the fractions by the same number
In this case, we use 3 and 5
So, we have
3 + 2/5 * 3/3 + 2/3 * 5/5
Evaluate the products
3 + 6/15 + 10/15
Hence, the expression using fifteenths is 3 + 6/15 + 10/15
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