(08.01)Two lines, A and B, are represented by the following equations:
Line A: 2x + 2y = 8
Line B: x + y = 3
Which statement is true about the solution to the set of equations?
It is (1, 2).
There are infinitely many solutions.
It is (2, 2).
There is no solution.
Answers
Answer:
It is D, ( the numbers to the right of the equals sign are different.)
Step-by-step explanation:
Related Questions
HELPPP!! I'LL MARK U
The area of the figure is ______ square units.
Answers
Answer:
8 units
Step-by-step explanation:
Area of square:
length * width
2 * 3
= 6 units
Area of triangle:
1/2 * base * height
1/2 * 2 * 2
= 2 units
Area of entire shape:
6 + 2
= 8 units
So, the area of the shape is 8 units.
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Lori wants to trade more than 3/10 but less than 4/5
Answers
Answer:
i dont know what you are asking but 3/10-8/10
Step-by-step explanation:
3 > 8/10 “> needs the line up under”
PLEASE I NEED HELP CLICK ON THIS IMAGE
Answers
Answer:11
Step-by-step explanation:smart
Use the graph to find the domain of F, the range of F, The X intercepts, the Y intercept, the intervals on which F is increasing and decreasing, The intervals on which F is constant and The number at which F has a relative minimum. What are the zeros of the function. What is the value of f(-1).x-values where f(x) = 3. Is F odd, even or neither.
Answers
The domain of a function is all values of x the function can assume.
Looking at the graph, we can see that the function can assume any real value for x, so the domain in interval notation is:
\((-\infty,\infty)\)The range of a function is all values of y the function can assume.
Looking at the graph, the minimum value of y the function can assume is -1, and there is no maximum value (it goes towards positive infinity), therefore the range is:
\(\lbrack-1,\infty)\)The x-intercepts are the points where the graph intersects the x-axis (where y = 0).
Looking at the graph, the x-intercepts are (2, 0) and (4, 0).
The y-intercepts are the points where the graph intersects the y-axis (where x = 0).
Looking at the graph, the y-intercept is (0, 8).
The interval where F is increasing is:
\((3,\infty)\)The interval where F is constant is:
\((-\infty,0)\)The interval where F is decreasing is:
\((0,3)\)The minimum point of the function is (3, -1), so the number at which F has a relative minimum is x = 3 and the relative minimum is y = -1.
The zeros of a function are the values of x where y = 0 (the zeros are the x-coordinates of the x-intercepts).
So the zeros are 2 and 4.
f(-1) is the value of the function for x = -1.
Looking at the graph, for x = -1 the function value is 8, so f(-1) = 8.
In order to find the x-values for f(x) = 3, we need to find the values of x for y = 3.
Looking at the graph, the value y = 3 can be found when x = 1 and x = 5.
Therefore the leftmost x-value is x = 1 and the rightmost x-value is x = 5.
Odd functions have the property:
f(x) = -f(-x).
These functions are symmetric about the origin.
Even functions have the property:
f(x) = f(-x).
These functions are symmetric about the y-axis.
Looking at the graph, function F is neither odd nor even.
Help me on this math problem?
Answers
Answer:
just add them
Step-by-step explanation:
veronica is making a large table in the shape of a trapezoid. she needs to calculate the area of the table she is making the longest side
Answers
1. We can see that the number in the bottom box is: 13.5yd.
2. The number in the top box is: 7.5yd.
3. The area of the table = 78.75yd²
What is a trapezoid?A trapezoid, also known as a trapezium in some countries, is a quadrilateral shape that has only one pair of parallel sides. The parallel sides of a trapezoid are called the bases of the trapezoid, and the non-parallel sides are called the legs.
We see here that in order to get the number in the bottom box, we discover that the number in the top box is a square which means that all the sides are equal to 7.5yd.
Thus, the number in the bottom box = 3 + 7.5 + 3 = 13.5yd.
Thus, the area of the table, a trapezoid = 1/2(a + b)h
Where a = 7.5yd
b = 13.5yd
height, h = 7.5yd.
Thus, A = 1/2(7.5 + 13.5) 7.5 = 157.5/2 = 78.75
∴ Area of the table, A = 78.75yd²
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Which set of sides will make a triangle
Answers
Answer:
the third one 10 cm, 9cm 9cm
25.05+36.05 equal the answer
Answers
Answer:
61.1
Step-by-step explanation:
Here, we simply add the two numbers together.
25+36=61
0.5+0.5=1
so, the answer is 61.1
Due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. Will the rock hit the water in 2 seconds?
Explain
Answers
If due to gravity, an object falls 16t^2 feet in t seconds. You drop a rock from a bridge that is 75 feet above the water. The rock will hit the water in 2 seconds?
How to find seconds the rock will hit the rock?Given data:
Object falls = 16t² feet in t seconds
Rock from a bridge = 75 feet above the water
So,
72 =16t²
t² = 72/16
t²= 4.5
t = √4.5
t = 2.12 seconds to hit the water
Therefore we can conclude that the rock will hit the water in 2 seconds.
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Give the domain and range. On a coordinate plane, points are at (negative 2, negative 1), (0, 1), (2, 3). a. domain: {2, 0, 2}, range: {1, 1, 3} b. domain: {–1, 1, 3}, range: {–2, 0, 2} c. domain: {–2, 0, 2}, range: {–1, 1, 3} d. domain: {1, 1, 3}, range: {2, 0, 2} Please select the best answer from the choices provided A B C D
Answers
Answer:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
Step-by-step explanation:
From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.
The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.
In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.
Therefore, the correct answer is:
c. domain: {-2, 0, 2}, range: {-1, 1, 3}
The midpoint of \overline{\text{AB}} AB is M(7, -7)M(7,−7). If the coordinates of AA are (8, -6)(8,−6), what are the coordinates of BB?
Answers
Using the formula for the midpoint of the line with given points A and B as the end points of the line, the coordinates of the point B is (6,-8).
How do you find the midpoint of a line segment?To find the midpoint of a line segment, you must first find the coordinates of the two endpoints of the segment. Then, take the average of the x-coordinates and the y-coordinates to find the x and y coordinates of the midpoint. This can be done by adding the x-coordinates and y-coordinates of the two endpoints together and then dividing by 2.
What is the formula for finding the midpoint of a line segment?
The formula for finding the midpoint of a line segment is:
Midpoint = ( (x1+x2)/2 , (y1+y2)/2 )
Where (x1,y1) and (x2,y2) are the coordinates of the two endpoints of the line segment.
Using the given coordinates of point A(8,-6) and the midpoint M(7,-7) of the line, and using the midpoint formula for a line AB,
Midpoint(M) = \((\frac{x1+x2}{2},\frac{y1+y2}{2} )\)
where x1, y1 are coordinates of point A , and x2, y2 are the coordinates of point B
so , (7,-7) = \((\frac{8+x2}{2} , \frac{-6+y2}{2})\)
equating the corresponding points,
7 =(8+x2)/2
therefore, x2 = 6
and , -7 = (-6+y2)/2
therefore , y2 = -8
Hence the coordinates of B is , (x2,y2 ) = (6,-8)
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8. Make a prediction for a resting heart rate after 6 hours of
exercise a week
Resting Heart Rate (BPM)
Hours of Exercise per Week
a.) 6
b.) 50
c.) 55
d.) 59
Answers
Answer:
the answer is 50!!! it sure is
45 points + brainlest please help due today
How do you think arithmetic sequences are similar to direct variation? How do they relate to linear functions? Full credit will be given to responses that answer both questions and are at least 5 sentences long. How do you think arithmetic sequences are similar to direct variation?
Answers
Answer:
Use the formula for direct variation, and this will help answer the last part of the question.
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between consecutive terms is constant.
Similarities in arithmetic sequence direct variations.An arithmetic sequence is a linear function. Instead of y=mx+b, we write an=dn+c where d is the common difference and c is a constant (not the first term of the sequence, however).
A recursive definition, since each term is found by adding the common difference to the previous term is ak+1=ak+d.
For any term in the sequence, we've added the difference one less time than the number of the term. For example, for the first term, we haven't added the difference at all (0 times). For the second term, we've added the difference once. For the third term, we've added the difference two times.
The formula for the general term of an arithmetic sequence is: an = a1 + (n-1) d.
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in the first quarter of the game the Giants gained 5 yards lost 13 yards gained 2 yards gained 6 yards and unfortunately lost 12 yards in their final play
Answers
Answer:
They lost a total of -12 yards.
Step-by-step explanation:
Do the calculation.
5- 13= -8
-8 + 2 + 6= 0
0 - 12 = -12
Use the formula SA = 2πrh + 2πr2 to find is the surface area of the cylindrical food storage container. Use 3.14 for π. Round your answer to the nearest hundredth of a square inch.
A cylinder. The radius of the base is 8 inches and the height of the cylinder is 11 inches.
Answers
Step-by-step explanation:
SA = 2πrh + 2πr²
where;
π = 3.14
r = 8
h = 11
Slotting in those parameters, we have;
= (2 x 3 x 8 x 11) + ( 2 x 3 x 8²)
= 528 + 384
= 912 inches²
To the nearest 100th, answer becomes 900inches²
A drain must be installed with a grade of 1/10 in. of vertical drop per foot of horizontal run. How much of a drop will there be for 58 ft of run?
Answers
Answer:
1/10 x 58 =5.8 if they want it in fraction its 4/5
Step-by-step explanation:
The answer would be 5 and 4/5.
I need to show work
#1. (-2/7) + (-4/7)
#2. 5.4+ (-8.6)
Answers
Answer:
#1. -6/7
#2. -3.2
Step-by-step explanation:
#1. (-2/7) + (-4/7)
You are adding two negative numbers.
When you add two positive numbers or two negative numbers, just ignore the signs and add the numbers as positive numbers. Then the answer has the same sign as the original numbers.
Step 1. Ignore the signs and make both numbers positive.
Add 2/7 and 4/7.
2/7 + 4/7 = 6/7
Step 2. Since the two numbers are originally negative, the answer is negative.
(-2/7) + (-4/7) = -6/7
#2. 5.4 + (-8.6)
When you add a positive number and a negative number, first make both numbers positive. Then, subtract the smaller positive number from the larger positive number. Finally, the answer has the same sign as the original number that corresponds to the larger positive number.
Here we do it step by step.
5.4 + (-8.6)
Step 1. Make both numbers positive. The numbers now are:
5.4 and 8.6
Step 2. Subtract the smaller positive number from the larger positive number.
8.6 - 5.4 = 3.2
Now look at the two positive numbers. 5.4 and 8.6. The larger number is 8.6. The original number that 8.6 came from is -8.6, a negative number, so the answer is negative.
5.4 + (-8.6) = -3.2
\( \rm \sum_{n = 0}^ \infty \frac{( - 1 {)}^{n} (n + 1)}{(n + 2)n! \cdot {2}^{n - 1} } \\ \)
Answers
Expand into partial fractions,
\(\dfrac{n+1}{n+2} = \dfrac{(n+2)-1}{n+2} = 1 - \dfrac1{n+2}\)
and rewrite the sum as
\(\displaystyle 2 \left(\sum_{n=0}^\infty \frac1{n!} \left(-\frac12\right)^n - \sum_{n=0}^\infty \frac1{n!(n+2)} \left(-\frac12\right)^n\right)\)
The first sum we recognize as the series expansion of \(e^x\) at \(x=-\frac12\). For the other sum, let
\(\displaystyle f(x) = \sum_{n=0}^\infty \frac1{n!(n+2)} x^n\)
Introduce factors of \(x\) so that differentiating both sides will eliminate the \(n+2\) in the denominator of the summand.
\(\displaystyle x^2 f(x) = \sum_{n=0}^\infty \frac1{n!(n+2)} x^{n+2} \\\\ ~~~~ \implies x^2 f'(x) + 2x f(x) = \sum_{n=0}^\infty \frac1{n!} x^{n+1} = xe^x\)
Solve the differentiating equation for \(f\), using the initial condition \(f(0)=0\).
\(\left(x^2 f(x)\right)' = xe^x \implies x^2 f(x) = (x-1)e^x + C\)
\(f(0) = 0 \implies 0 = -1 + C \implies C = 1\)
\(\implies f(x) = \dfrac{x-1}{x^2} e^x + \dfrac1{x^2}\)
Now let \(x=-\frac12\). We find
\(\displaystyle 2 \left(\sum_{n=0}^\infty \frac1{n!} \left(-\frac12\right)^n - \sum_{n=0}^\infty \frac1{n!(n+2)} \left(-\frac12\right)^n\right) \\\\ ~~~~~~~~ = 2 \left(e^{-1/2} - \left(4-6e^{-1/2}\right)\right) = \boxed{\frac{14}{\sqrt e} - 8}\)
Emilio borrows $1200 from a bank with 8.5% simple interest per year. How much will he
have to pay back total in 2 years?
Answers
Emilio will have to repay loan of a total of $1404 in 2 years.
To calculate the simple interest, we use the formula:
I = Prt
where:
I is the interest
P is the principal (the amount borrowed)
r is the interest rate per year
t is the time in years
In this case, Emilio borrowed $1200, the interest rate is 8.5%, and the time is 2 years, so we have:
I = 1200 * 0.085 * 2 = $204
Therefore, Emilio will have to pay back the principal plus the interest, which is:
1200 + 204 = $1404
So, Emilio will have to pay back a total of $1404 in 2 years.
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Find the perimeter of a rectangular garden that has a width of 4x−6 and a length of 2x+4.
Answers
Answer:
perimwter = 2(4x-6 + 2x+4) = 2 (6x-2) = 12x-4
for a March past competition on sports day the house captain of one house cut 25 pieces of ribbon each 1/2 metre in length.what was the length of ribbon cut altogether
Answers
Answer:
not lenguague spanish
Step-by-step explanation:
that bad
Sarah has been an exemplary employee! The library has given her a 5% raise in recognition of
her hard work. If Sarah normally has a net salary of $212.50, what will Jessica’s net salary be now?
Remember, you calculated that 15% of Sarahs gross salary is withheld each week.
Answers
The correct value of Jessica's new net salary will be $225.
To calculate Jessica's new net salary after a 5% raise, we need to first determine Sarah's gross salary. We know that Sarah's net salary is $212.50, and 15% of her gross salary is withheld each week.
Let's denote Sarah's gross salary as "G." We can set up the following equation:
G - 15% of G = $212.50
Simplifying the equation, we have:
G - 0.15G = $212.50
0.85G = $212.50
G = $212.50 / 0.85
G ≈ $250
Sarah's gross salary is approximately $250.
Now, to find Jessica's new net salary after a 5% raise, we can calculate 5% of Sarah's gross salary and subtract the withheld amount:
Jessica's net salary = Sarah's gross salary + 5% of Sarah's gross salary - 15% of Sarah's gross salary
Jessica's net salary = $250 + 0.05 * $250 - 0.15 * $250
Jessica's net salary = $250 + $12.50 - $37.50
Jessica's net salary = $225
Therefore, Jessica's new net salary will be $225.
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Helpp!! Solve the system by graphing.
Answers
The solution of the system of equations:
y = 3x - 4
y = (-1/2)*x + 3
Is (2, 2).
How to solve a system of equations graphically?Here we have the following system of equations:
y = 3x - 4
y = (-1/2)*x + 3
To solve this graphically, we just need to graph both equations on the same coordinate axis, and find a point where these two graphs intercept.
Below you can see the graph of the system, and there you can see that the lines intercept at the point (2, 2), so that is the solution of the system.
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Please I need help fast
Answers
PLEASE HURRY AND ANSWER!!!!
Answers
The probability that that arrow will land on the part labelled C after the first spin would be = 1/5.
How to calculate the probability of the chosen event?To calculate the probability of the chosen event, the formula for probability should be used which is given as follows:
Probability = possible outcome/ sample space
Where possible outcome = 2
sample space = A,B,B,B,C,C,D,D,D,E = 10
Therefore the probability that the arrow will land on the part labelled C after the first spin = 2/10 = 1/5.
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Enter The Missing Numbers To Create Equivalent Ratios
Answers
Answer:
3, 1
6, 2
12, 6
24, 8
Step-by-step explanation:
All of them, when reduced, will equal (3, 1)
Answer:
Step-by-step explanation:
20. Find the unknown angle measures.
51°
53°
Answers
The unknown angle measures are d = 76, c = 53, a = 51 and b = 76
Finding the unknown angle measures.From the question, we have the following parameters that can be used in our computation:
The lines
The sum of angles on a line is 180
So, we have
b = 180 - 51 - 53
b = 76
By vertical angle theorems, we have
d = 76
c = 53
a = 51
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What is the correct order for the moon phrases.
Answers
Answer:
New moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full moon, Waning Gibbous, Last Quarter, and finally Waning Crescent.
Step-by-step explanation:
I HOPE THIS HELPS.
THANK U!
What Is the equation of the line through (2, -1) and (0,5)?
A. y = 3x + 5
B. y=-3x + 5
c. y = 3x - 5
D. y=-3x - 5
Answers
Answer:
B
Step-by-step explanation:
To find the equation, we can use the point-slope form:
\(y-y_1=m(x-x_1)\)
Where m is the slope and (x₁, y₁) is a point.
First, we will need to find the slope. Since we have two points, we can use the slope formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Let (2, -1) be (x₁, y₁) and let (0, 5) be (x₂, y₂). Substitute and evaluate:
\(\displaystyle m=\frac{5-(-1)}{0-2}=6/-2=-3\)
Therefore, the slope m is -3.
Now, we can use the point-slope form. We also need a point. Let’s use (2, -1) for consistency. So, we will substitute -3 for m and (2, -1) for (x₁, y₁). This yields:
\(y-(-1)=-3(x-2)\)
We will now convert this to slope-intercept form. Simplify the left and distribute the right:
\(y+1=-3x+6\)
Subtract 1 from both sides. Therefore, our equation is:
\(y=-3x+5\)
Thus, our answer is B.
help me please :)))))))))))
Answers
Answer: Can you pleaes post the pic again it is not clear
Step-by-step explanation: