Answer:
\(y = \frac{3}{7}x + 5 \frac{3}{7} \)
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the gradient and c is the y-intercept.
Given equation: 7x +3y= 18
Rewrite into slope-intercept form to find out its gradient:
7x +3y= 18
3y= -7x +18
\(y = - \frac{7}{3} x + 6\)
Thus, gradient of given line is -7/3.
The product of the gradients of 2 perpendicular lines is -1.
(Gradient of line)(-7/3)= -1
Gradient of line
\( = - 1 \div ( - \frac{7}{3}) \\ = - 1 \times( - \frac{3}{7} ) \\ = \frac{3}{7} \)
Substitute m= 3/7 into the equation:
\(y = \frac{3}{7}x + c \)
To find the value of c, substitute a pair of coordinates.
Since the line contains P(6,8), we substitute x=6 and y=8 into the equation.
When x=6, y= 8,
\(8 = \frac{3}{7} (6) + c \\ c = 8 - \frac{18}{7} \\ c = 5 \frac{3}{7} \)
Thus, the equation of the line is \(y = \frac{3}{7} x + 5 \frac{3}{7} \).
What’s equivalent to this
Answer:
a^(m-n)
Step-by-step explanation:
We have
a^m / a^n
Exponent rules state that
a^m / a^n = a^(m-n)
Is this or is this not a function?
Answer:
This is not a function
Step-by-step explanation:
Assuming that the line in question is parallel with the y axis, by using the line test we can see that the line is not a function. The line test is where you draw straight lines going vertically over the graph and if the lines touch the figure in question more than once that means it's not a function.
This can also be proved by imagining there are 2 different points on the line in question. Since the line is straight vertically that means that the points will share the same x value for different y values, which makes it not a function
Answer:
This is not a function.
Step-by-step explanation:
The questioned parallel line within the y-axis does not meet the requirements to be a function. The line test, as the other person stated, is a test where lines are drawn over the points to determine if the graph / model is, or is not a function. Doing so in this process, if the lines touch the same point more than once, that means the graph is not a function.
Which fraction is represented by point A on the number line?
The fraction represented by point A, it is crucial to have information about the scale, intervals, and the relative position of point A on the number line.
With these details, you can calculate the fraction accurately.
Point A on the number line represents a fraction that requires additional information to determine its precise value.
I can provide you with a general approach to finding the fraction corresponding to a given point on the number line.
A number line represents a range of values, typically with a specific scale or interval.
The scale can be divided into equal parts, such as units or fractions.
To determine the fraction represented by point A, we need to know the scale and the position of point A relative to that scale.
Let's consider a number line that ranges from 0 to 1, with evenly spaced tick marks representing tenths.
If point A is located halfway between the tick marks representing 0.4 and 0.5, then it represents the fraction 0.45 (or 9/20 in simplified form).
If the number line has a different scale or is divided into different intervals, the fraction represented by point A will be different.
Without specific details about the number line and the position of point A, it is impossible to determine the fraction precisely.
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a line pases through the point (4,-1) and has a y interespt of of -3
Please help me ASAP please
Answer:
217=31m; m=7, 7 miles per day
Step-by-step explanation:
217/31=m 217=31m, just divide the total number of miles by the number of days
the table shows linear relashonsips between x and y write an equation in slope intercept form for this relashonsip!!!!!!!!!!!!!!!!!!!!!!!
QUICK PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
\(y=-2x+6\)
Step-by-step explanation:
Slope-intercept form is given as \(y=mx+b\), where \(m\) is slope and \(b\) is the y-intercept.
To find the slope of a line that passes through two points \((x_1, x_2)\) and \((y_1, y_2)\), use the slope formula:
\(m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}\)
Let:
\((x_1, y_1)\implies (1, 4)\\(x_2, y_2)\implies (0, 6)\)
The slope of the line that passes through these two points is:
\(m=\frac{6-4}{0-1}=\frac{2}{-1}=-2\)
Now substitute \(m=-2\) and any point to solve for \(b\):
\(y=mx+b,\\6=-2(0)+b,\\6=0+b,\\b=6\)
Therefore, the slope-intercept form of a line that is represented by the table is \(\boxed{y=-2x+6}\)
ASSIGNMENT
1. Suppose the demand function for a product is given
by: Qa = 500 - 5P, compute the:
(a) quantity demanded at the unit price of Ghé 10
(b) price to sell 200 units
(c) price for zero demand
(d) quantity demanded at zero price
(e) the own-price elasticity of demand at the price for
which 200 units are sold.
The value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.
What is demand function?The link between the quantity demanded for a commodity (the dependent variable) and its price is represented by the demand function (independent variable).
a) At the price of Gh¢10 , then
Qd= 500 - 5P
Qd= 500 -5(10)
Qd= 500-50 = 450 units
The value of quantity demanded at unit price Gh¢10 is 450 units.
b) If there are 200 units,then
Qd= 500- 5P
200 = 500-5P
5P = 500-200
P= 300/5
P= Gh¢60
The price to sell 200 units is Gh¢60
c) if demand is zero, it mens Qd= 0
Qd= 500- 5P
0= 500-5P
5P= 500
P= Gh¢100
The price for 0 demand is Gh¢100.
d) If P= 0, then
Qd= 500-5P
Qd= 500-5(0)
Qd= 500 units
The quantity demanded at zero price is 500 units.
Hence, the value of quantity demanded at unit price Gh¢10 is 450 units. b. The price to sell 200 units is Gh¢60. c. The price for 0 demand is Gh¢100. d. The quantity demanded at zero price is 500 units.
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A hotel had seven levels and there were 148 rooms on each level how many rooms are in the hotel? if there were four people in each room how many people are in the hotel?
Answer:
There are 1, 036 rooms in the hotel.
148×7 = 1, 036
There are 4, 144 people in the hotel.
1, 036×4 = 4, 144
H
6:00 PM
What is a frostbite?
Which graph shows the information in the table?
Calories in Salad Dressing
Number of Ounces of Salad
Dressing
2
3
4
5
Total Calories
300
450
600
750
Answer: Number 2
Step-by-step explanation: yes
Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. the ball python is 4 1/2 ft long and the corn snake is 45 in. long. Vivian wants the shorter snake. Which snake should she get? Show your work. (12 in. = 1 ft)
Answer:
The 45 in snake is the shorter one.
Step-by-step explanation:
Which is shorter, 45 in or 4 1/2 ft?
12 in
Convert 4 1/2 ft into inches by multiplying 4 1/2 ft by --------- = 54 in.
1 ft
Thus, the 45 in snake is shorter than the 54 in one and should b e V's first choice.
The shorter snake will be a corn snake. Then she will get a corn snake.
What is conversion?Conversion means to convert the same thing into different units.
Vivian is getting a pet snake. She is choosing between the ball python and the corn snake. The ball python is 4 1/2 feet long and the corn snake is 45 inches long.
Convert inches into feet. Then the length of a corn snake will be
45 inches = 45/12 feet
45 inches = 3 3/4 feet
Vivian wants the shorter snake.
Thus, the shorter snake will be a corn snake. Then she will get a corn snake.
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Find the greatest common factor (GCF) for this of composite number 9_14
Answer:
the gcf of 9 and 14 is 1
Step-by-step explanation:
factors of 9: 1, 3
factors of 14: 1, 2, 7
Is the ratio of 1:7 the same of 7:1
Answer:
The ratios are equal if they are equal when written as fractions. ... A ratio of 1:7 is not the same as a ratio of 7:1.
Step-by-step explanation:
Find the slope of the ordered pairs below: (4, 2) and (7, 6.5
(4,2)(7, 6.5)
slope=y2-y1/ x2-x1
x1=4
y1=2
x2=7
y2=6.5
6.5-2/7-4
4.5/3
divide 4.5 and 3
=1.5
answer:
slope= 1.5
the sum of two number is twenty-six using x to represent the smaller of the two numbers, translate "the difference between five more then the larger number and twice the smaller number' into a variable expression. then simplify
"the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Given, the sum of two numbers is twenty-six the difference between five is more than the larger number and twice the smaller number' into a variable expression.
Since x represents the smaller of the two numbers,
Thus the larger number will be 26 - x
The expression asked above will be:
=> 5 + larger number - 2 * smaller number
=> 5 + 26 - x - 2 * x
=> 31 -3x
therefore, "the difference between five more than the larger number and twice the smaller number' can be written as the expression 31 -3x.
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Who is most affected by a discrepancy in dosage
When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.
What is the discrepancy in dosageInsufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.
It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.
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solve it
\( \sqrt{2x + 1} - \sqrt{x + 1} = 2\)
check for extraneous solutions
Take note of the domain of possible solutions:
• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1
So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).
To solve, move one of the root expressions to the right side, then square both sides:
√(2x + 1) = 2 + √(x + 1))
[√(2x + 1)]² = [2 + √(x + 1))]²
2x + 1 = 4 + 4 √(x + 1) + (x + 1)
Simplify this to
x - 4 = 4 √(x + 1)
and now square both sides again and solve for x :
[x - 4]² = [4 √(x + 1)]²
x ² - 8x + 16 = 16 (x + 1)
x ² - 8x + 16 = 16x + 16
x ² - 24x = 0
x (x - 24) = 0
x = 0 or x - 24 = 0
x = 0 or x = 24
Both of these solutions are greater than -1/2; however, if x = 0, we get
√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2
so the only solution is x = 24.
Answer:
• √(2x + 1) is defined for 2x + 1 ≥ 0, or x ≥ -1/2
• √(x + 1) is defined for x + 1 ≥ 0, or x ≥ -1
So any solutions to this equation must fall in the interval x ≥ -1/2, or [-1/2, ∞).
To solve, move one of the root expressions to the right side, then square both sides:
√(2x + 1) = 2 + √(x + 1))
[√(2x + 1)]² = [2 + √(x + 1))]²
2x + 1 = 4 + 4 √(x + 1) + (x + 1)
Simplify this to
x - 4 = 4 √(x + 1)
and now square both sides again and solve for x :
[x - 4]² = [4 √(x + 1)]²
x ² - 8x + 16 = 16 (x + 1)
x ² - 8x + 16 = 16x + 16
x ² - 24x = 0
x (x - 24) = 0
x = 0 or x - 24 = 0
x = 0 or x = 24
Both of these solutions are greater than -1/2; however, if x = 0, we get
√(2×0 + 1) - √(0 + 1) = √1 - √1 = 1 - 1 = 0 ≠ 2
so the only solution is x = 24.
What is the area? Round to the nearest tenth
Answer:
60.8 mm^2
D
Step-by-step explanation:
Remark
You have to assume that the left and right sides are both 9.3. The question is undoable without that assumption.
Next, you have to assume that The top is 7.8 mm across and both ends meet 9.3 at right angles. Again if that is not true, the problem can't be done. Sometimes people making these questions make errors which you are asked to correct.
Solution
So let's assume that everything I've assumed is correct.
Find the area of the rectangle.
Area = L*W
L = 9.3
W = 7.8
Area = 7.8 * 9.3
Area = 72.54 Do your rounding at the end.
Now find the are of the triangle that has been cut out.
The height = 3
The base = 7.8
Area = 1/2 b * h
Area = 1/2 7.8 * 3
Area = 11.7
The area of the figure = area of the rectangle - the triangle's area
Figure Area = 72.54 - 11.7
Figure Area = 60.84
5. If that same manufacturer miscalculates the demand of the market and manufactures 5,000 dozen of those sweaters, but only sells 3,000 dozen, what is the total profit from the sweaters? (Show your calculations.) $ profit.
If a manufacturer manufactures 5,000 dozen of sweaters, and sells 3,000 dozen of them only, then the total profit he/she earns from the these sweaters is [1000(3x - 5y)], assuming that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y".
As per the question statement, a manufacturer miscalculates the demand of the market and manufactures 5,000 sweaters, but sold only 3000 of them.
We are required to calculate the total profit earned by the manufacturer from the sale of the sweaters.
Since, no data about the manufacturing cost of the sweaters and their selling price is provided in the question statement, let us assume that the cost of manufacturing one sweater is "x" and the selling price of that sweater is "y". Solving with these variables will give us a generalized answer which we can use for any value.
Now, Since assumed that, manufacturing cost of one sweater is "x", then, manufacturing cost of 5000 sweaters will be \((5000*x)=5000x\).
Similarly assumed that, selling cost of one sweater is "y", and then, selling cost of 3000 sweater will be \([(3000*y)=3000y]\).
Now, we know that,
[Profit = (Total Selling Cosy) - (Total Manufacturing Cost)],
Therefore, in this case, total profit from the sale of 3000 sweaters
\(=(3000y-5000x)\\=1000(3y-5x)\).
Now, on using real integers or numbers in place of "x" and "y", if the value of Profit comes negative, it will mean, that for those values of "x" and "y", the manufacturer makes loss, not profit.
Profit: On sale of any goods, a person makes profit if he/she can sell the goods for a higher value than what they had bought for, or what they had manufactured at and is thus, calculated as the difference of total selling price of the goods and the manufacturing cost or buying price of them.Loss: This is the exact opposite of profit and is calculated as the difference of manufacturing cost or buying price of the goods and their selling price.To learn more about Profit and Loss, click on the link below.
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The gift is 1.5 feet tall and Amberly choose to leave one of its bases uncovered. Explain how many many square inches of paper she would use to wrap the gift, assuming the paper does not overlap
And one of the bases is 9 inches by 0.5 feet
The net area of the paper needed is 4.125 square feet.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, The gift is 1.5 feet tall and one of the bases is 9 inches = 0.75 by 0.5 feet.
Therefore the total surface area is,
= 2(1.5×0.5 + 1.5×0.75 + 0.75×0.5).
= 2(0.75 + 1.125 + 0.375).
= 2(2.25).
= 4.5 square feet.
Now, She left one of the bases uncovered which have an area of 0.375 square feet.
Therefore, the net amount of paper needed is = 4.5 - 0.375.
= 4.125 square feet.
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t
Given the two points, write the
I equation in slope-intercept form.
(-5, 2) and (10, 8)
Answer:
y = 2/5x + 4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Slope:
( y1 - y2 ) / ( x1 - x2 )
( 2 - 8 ) / ( -5 - 10 )
( -6 ) / ( -15 )
2 / 5
Y-Intercept:
8 = 2/5(10) + b
8 = 4 + b
4 = b
Hopefully this helps!
Brainliest please?
5 thousand is ———————- times as many as 5 hundred
Answer:
Ten
Step-by-step explanation:
5000/500 = 10
Answer: 10 times as many 5 hundreds
Step-by-step explanation: five times five hundreds equals 5,000
The rectangular foor of a classrom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. What is the perimeter, in inches, of the floor in the scale drawing?
The required perimeter of the scale drawing is given as 18 inches.
Given that,
The rectangular floor of a classroom is 30 feet in length and 24 feet in width. A scale drawing of the floor has a length of 5 inches. The perimeter, in inches, of the floor in the scale drawing, is to be determined.
Perimeter is the measure of the figure on its circumference.
Here,
According to the question,
L = 30 feet, W = 24 feet,
for Scaled drawing
l = 5 inch, w = x
Now,
30/5 = 24 / x
6 = 24 / x
x = 24 {1/6}
x = 4,
So the width of the scale drawing is 4 inches,
perimeter of the scaled drawing = 2[l + w]
= 2 [5 + 4] = 18 inches
Thus, the required perimeter of the scale drawing is given as 18 inches.
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Help pls just answer if u know the answer...
Answer:
CGE
Step-by-step explanation:
angle CGE is same side interior angle
same side reffers to same side of transversal
interior refers that is between the parallel lines
Answer: CGE because the interior is parallel lignes
Step-by-step explanation:
Emily is going to use a computer at an internet cafe. The cafe charges an initial fee to use the computer and then an additional price per minute of usage. An equation representing the total cost of using a computer for tt minutes at the internet cafe is given by C=9+0.50t.C=9+0.50t. What is the slope of the equation and what is its interpretation in the context of the problem?
The slope of the equation is 0.50 and it interprets the additional price per minute of usage.
A cafe charges an initial fee to use the computer and then an additional price per minute of usage.
An equation representing the total cost of using a computer for t minutes at the internet cafe is given by:
C = 9 + 0.50 t
Initial fee = 9 and C = total cost and t = time usage.
What is a slope of an equation?
The process of determining the rate of change of a dependent variable
when the independent variable change is called the slope of an equation.
We can find the slope by differentiating the dependent variable with respect to the independent variable.
Slope = dy / dx
Where y = independent variable and x = dependent variable.
The given equation :
C=9+0.50t
C = dependent variable and t = independent variable.
Differentiating C with respect to t
we have,
dC / dt = d9 / dt + 0.50 dt / dt
dC / dt = 0 + 0.50. Where \(\frac{d}{dy} constant = 0\)
dC / dt = 0.50
Slope = 0.50
Interpretation of the slope = 0.50.
The slope = 0.50 means that the additonal price per minute of usage is 0.50.
For,
t = 1, C = 9 + 0.50 = 9.5
t = 2, C = 9 + 0.50 x 2 = 9 + 1 = 10
t = 3, C = 9 + 0.50 x 3 = 9 + 1.50 = 10.50
t = 4, C = 9 + 0.50 x 4 = 9 + 2 = 11.
10 - 9.5 = 0.50
10.50 - 10 = 0.50
11 - 10.50 = 0.50
We see that the rate of change is constant which means it is 0.50 price per minute of usage.
Thus the slope of the equation is 0.50 and it interprets the additional price per minute of usage.
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Which equation can you use to solve 150% of 500?
Answer:
150×500=30, i got you man
The graph shows the distance, y, that a car traveled in x hours:
A graph is shown with x axis title as Time in hours. The title on the y axis is Distance Traveled in miles. The values on the x axis are from 0 to 5 in increments of 1 for each grid line. The values on the y axis are from 0 to175 in increments of 35 for each grid line. A line is shown connecting ordered pairs 1, 35 and 2, 70 and 3, 105 and 4, 140. The title of the graph is Rate of Travel.
What is the rate of change for the relationship represented in the graph?
Group of answer choices
fraction 1 over 35
fraction 1 over 34
34
35
Answer:
Hello, Your answer would be 35 (Fraction 1 over 35)
Hope's this helped.
Step-by-step explanation:
the sum of two numbers is 30 and their difference is 20. What are the two numbers?
\(\huge\pink{Answer}\)
Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 30. In other words, x plus y equals 30 and can be written as equation A:
x + y = 30
The difference between x and y is 20. In other words, x minus y equals 20 and can be written as equation B:
x - y = 20
Now solve equation B for x to get the revised equation B:
x - y = 20
x = 20 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 30
20 + y + y = 30
20 + 2y = 30
2y = 10
y = 5
Now we know y is 5. Which means that we can substitute y for 5 in equation A and solve for x:
x + y = 30
x + 5 = 30
X = 25
Summary: The sum of two numbers is 30 and their difference is 20. What are the two numbers? Answer: 25 and 5 as proven here:
Sum: 25 + 5 = 30
Difference: 25 - 5 = 20
ꜰᴏʟʟᴏᴡ ᴍᴇ❤Evaluate the expression
3n - x =
if n = 5 and x = 3
Answer:
12
Step-by-step explanation:
Answer:
she's a 100% correct its 12
Step-by-step explanation:
Give her brainliest!!!!!!
write down the 3 integers, all the less than 25, whose range is 10 and
mean is 13
The three integers are