The constant term in the expression is 3.
The expression is 4x ₋ 2y ₊ 3.
Here in this equation we have variables and constants.
variables = x and y whose coefficients are 4 and ₋2 respectively.
A variable is anything whose value can change and is not fixed. Typically, the letters x, y, z, etc. are used to indicate variables.
The above equation is in the form ax ₊ by ₊ c
An object with a fixed value in a circumstance is said to be a constant. We are aware that the constant is fixed, even though we do not know its exact value. In general, constants are represented by the letters a, b, c, p, q, etc. if their values are unknown or not given, and by particular numerical values) if their values are known.
Hence we get the constant term as 3.
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HELPPPP PLS EXPLAIN
PLS HELPPP
Answer: First graph
Step-by-step explanation:
We first rewrite the equation in slope-intercept form y = ax + b, where a is the slope and b is the y-intercept(where x is equal to 0).
24x + 64y = 384
64y = -24x + 384
y = [tex]-\frac{24}{64}[/tex]x + 6
The y-intercept for this graph is equal to 6. Only the first graph satisfied the slope of the linear equation that we are looking for. In the first graph, when x was equal to 0, y was equal to 6.
Sally knows the number of hours worked per week for five of the her employees is
30, 30, 38, 35 and 30. How many hours must the sixth person work per week if she
calms the average employee works 35 hours per week? Round your answer to the
nearest whole number. Be sure to show your work.
sixth person work per week=47 hours
Average:
The average is defined as the mean value which is equal to the ratio of the sum of the number of a given set of values to the total number of values present in the set
Given :
the number of hours worked per week for five of her employees is
30, 30, 38, 35, and 30.
the average work of 6 employees is 35 hours per week
Solution :
Let, Total work per week= S
sixth person work per week=x
Total work per week= Number of people x average working hour
S= 35(6) = 210..(1)
S = 30+30+38+35+30+x
S= 163+x..(2)
By equation 1 and equation 2
210= 163+x
210-163=x
47=x
sixth person work per week=47 hours
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Graph the equation y=-x^2-12x-35 on the accompanying set of axes. You must plot 5 points including the roots and the vertex
Please check the image attached aside with the graph of the quadratic equation.
How to graph a quadratic equation by matching three pointsIn this problem we have a quadratic equation, of which we should plot the graph by matching five points. We can make use of its vertex, two roots, y-intercept and other point. First, determine the vertex of the quadratic function:
- x² - 12 · x - (35 + y) = 0
x² + 12 · x + (35 + y) = 0
12² - 4 · 1 · (35 + y) = 0
144 - 4 · (35 + y) = 0
144 - 140 - 4 · y = 0
4 · y = 4
y = 1
- x² - 12 · x = 36
x² + 12 · x + 36 = 0
(x + 6)² = 0
x = - 6
The vertex of the quadratic equation is (x, y) = (- 6, 1).
Second, calculate the roots of the quadratic equation:
- x² - 12 · x - 35 = 0
x² + 12 · x + 35 = 0
(x + 5) · (x + 7) = 0
The roots of the quadratic equation are (x, y) = (- 5, 0) and (x, y) = (- 7, 0).
Third, determine the y-intercept of the quadratic equation:
y = - 0² - 12 · 0 - 35
y = - 35
The y-intercept of the quadratic equation is (x, y) = (0, - 35).
And fourth, find another point by evaluating the quadratic equation:
y = - 1² - 12 · 1 - 35
y = - 48
The remaining point is (x, y) = (1, - 48).
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please help I will give out brainlist
Abby ad brenda had total 190.4 kg rice. after abby gave brenda 64.5kg rice, brenda had 6 times as much as abby. how much rice did abby had at first
Abby has 36.4 kg rice at first.
Here,
Abby and Brenda had total 190.4 kg rice.
After Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
We have to find amount of rice at first.
What is Total amount?
A total is whole or complete amount, and to total is to add numbers or to destroy something.
Now,
Abby and Brenda had total 190.4 kg rice.
Let amount of rice Abby has = x kg
Let amount of rice Brenda has = y kg
x + y = 190.4 kg .....(i)
Abby gave Brenda 64.5kg rice, Brenda had 6 times as much as Abby.
64.5 + y = 6x
6x - y = 64.5 .....(ii)
From equation (i) and (ii) we get;
x = 36.4
Hence, Abby has 36.4 kg rice at first.
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Peyton needs to order some new supplies for the restaurant where she works. The restaurant needs at least 732 forks. There are currently 287 forks. If each sentence on sale contains 10 forks right and solve an inequality which can be used to determine X, The number of sets of forks Peyton could buy for the restaurant to have enough forks
Peyton needs to buy at least 45 sets for the restaurant to have enough forks.
Let the number of sets of forks be represented by 'x'. according to the question there are 10 forks in each set.
Since there are currently 287 forks available in the restaurant, and the restaurant needs at least 732 forks.
The inequality used to represent the given scenario is given by:
10x + 287 ≥ 732
10x ≥ 445
x ≥ 44.5
As Peyton cannot buy 44.5 sets of forks so we round it off to 45.
Therefore, he requires 45 sets in total.
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solve the inequality for y
3y+8<65
Answer:
Step-by-step explanation:
y < 19
hope this helps :)
One number is seven less than a second number. Five times the first is 13 more than twice the second. Find the numbers
The two numbers are found as 9 and 16.
What is explained as the linear equation in two variables?A linear equation in 2 variables is one that is written in the form ax + by + c = 0, where a, b, and c are real numbers and also the coefficients of x and y, i.e. a and b, are not equal to zero. For example, 17x + 4y = 9 and -x + 6y = 12 are two-variable linear equations.For the given questions;
Let the first number be 'a'.
Let the second number be 'b'.
Then, first number is seven less than a second number.
a = b - 7
Now, 5 times the first is 13 more than twice the second.
5a = 2b + 13
Put the value of a in above equation;
5(b - 7) = 2b + 13
Simplifying;
5b - 35 = 2b + 13
3b = 48
b = 16 (second number)
a = b - 7
a = 16 - 7
a = 9 (first number)
Therefore, the two number are found as 9 and 16.
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Solve the simultaneous equation
-4x+3y=1
6x-y=2
Answer:
x = 1/2 or 0.5, y = 1
Step-by-step explanation:
it just means a system of equations.
-4x + 3y = 1
6x - y = 2
let's multiply the second equation by 3 and add both resulting equations :
-4x + 3y = 1
18x - 3y = 6
-------------------
14x 0 = 7
14x = 7
x = 7/14 = 1/2 = 0.5
6x - y = 2
6×1/2 - y = 2
3 - y = 2
-y = -1
y = 1
Which is the graph of f(x) = 100(0.7)x? On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 9) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 70) and (0, 100). On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 30) and (0, 100). Mark this and return
Answer:
On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100).
Which is the graph of the given function?
Here we have the exponential decay:
f(x) = 100*(0.7)^x
So, as x increases, y will tend to zero (because this is a decay, the number with the exponent x is between zero and 1).
Now, if we evaluate in x = 0 we get:
f(0) = 100*(0.7)^0 = 100
Then it goes through the point (0, 100).
If we evaluate in x = 2, we get:
f(2) = 100*(0.7)^2 = 49
Then it also goes through the point (2, 49).
With all that in mind, the correct option is:
"On a coordinate plane, a curve approaches y = 0 in quadrant 1 and curves up into quadrant 2. It goes through (2, 49) and (0, 100)."
2r+1+(−4r)+72 please solve
Answer:
[tex] \sf \large \: −2r+73[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
2r+1−4r+72
=2r+1+−4r+72
Combine Like Terms:
=2r+1+−4r+72
=(2r+−4r)+(1+72)
=−2r+73
В
2x – у = 3
19x - 6y = 6
Answer:
work is shown and pictured
Write the equation using y=mx+b
We cannot write vertical lines in the format y = mx+b
This is because the slope of any vertical line is undefined.
The equation of this red line is x = 5. All points on this line have the same x coordinate of 5. Two such points being (5,0) and (5,1)
a bottle weighs 300gand holds 630ml,how much does it weight if i fill it with water
If a bottle weighs 300g and can hold 630ml, then it will weigh approximately 930g when filled with water.
As per the question statement, a bottle weighs 300g and can hold 630ml.
We are required to find out the weight of the bottle when it is filled up with water.
To solve this question, we need to know about the concept of density of a substance, i.e.,
[tex]Density=\frac{Mass}{Volume}\\ or, Mass=[Density*Volume][/tex].
And density of water is 1gm/ml, i.e., 1gm of water has a mass of 1ml.
Using the above info, we will calculate the mass of 630ml of water and then we will have to add up the mass of water and the mas of the bottle to obtain our desired answer.
Using the unitary method, if 1ml of water has a mass of 1gm, then,
630 ml of water has a mass of [tex](630*1)=630\\[/tex] gms.
Hence, total weight of the bottle filled with water will be
[tex](630+300)=930[/tex] gms.
Density: Density is the measure of degree of compactness of a substance, calculated as the ratio of Mass to volume of a substance.Unitary Method: This is a technique for solving a problem where first, we find the value of a single unit, and then find the necessary value by multiplying the single-unit value.To learn more about Unitary Method, click on the link below.
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Use the following items to determine the total assets, total liabilities, net worth, total cash inflows, and total cash outflows.
Rent for the month $ 1,390 Monthly take-home salary $ 3,920
Cash in checking account $ 1,340 Savings account balance $ 2,770
Spending for food $ 1,110 Balance of educational loan $ 3,050
Current value of automobile $ 8,020 Telephone bill paid for month $ 85
Credit card balance $ 334 Loan payment $ 143
Auto insurance $ 321 Household possessions $ 3,510
Stereo equipment $ 3,320 Payment for electricity $ 189
Lunches/parking at work $ 204 Donations $ 116
Home computer $ 2,490 Value of stock investment $ 1,160
Clothing purchase $ 139 Restaurant spending $ 223
Total assets is $20,120; total liabilities is $3,384; net worth is $16,7366; total cash inflows is $3,804; and total cash outflows is $3,920.
How do we calculate the net worth?Total assets = Cash in checking account + Savings account balance + Current value of automobile + Household possessions + Stereo equipment + Home computer + Value of stock investment = $1,340 + $2,770 + $8,020 + $3,510 + $3,320 + $1,160 = $20,120
Total liabilities = Balance of educational loan + Credit card balance = $3,050 + $334 = $3,384
Net worth = Total assets - Total liabilities = $20,120 - $3,384 = $16,736
Cash outflows = Rent for the month + Spending for food + Telephone bill paid for month + Loan pyment + Auto insurance + Payment for electricity + Lunches/parking at work + Donations + Clothing purchase + Restaurant spending = $1,390 + $1,110 + $85 + $143 + $321 + $189 + $204 + $139 + $223 = $3,804
Cash inflows = Monthly take-home salary = $3,920
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Name:
#5 Go Tigers!
Seven days a year, Tiger Stadium becomes the fifth largest city
in the state of Louisiana. Over 92,000 fans pack the stadium to
watch the Tigers play. After the game, if the fans leave at a rate
of 10% per minute, how long will it take before the stadium is
half empty?
Partner Name:
Circle:
EQUATION
y = abx
GRAPH (label the x, and y-axis, plot the four points from the table, and connect the dots to receive full credit)
X
a =
TABLE
or y = a (1+r)*
Identify if it is a GROWTH or DECAY by circling
Write your equation:
After the game, if the fans leave at a rate of 10% per minute, how long will it take before the
stadium is half empty?
b =
f(x)
MEANING OF THE EQUATION
Answer:
3/2
Step-by-step explanation:
s = gh−5gc ^3 solve for g.
the greatest integer function,shown below,is defend so that it produces the greatest integer_____or equal to x???
The greatest integer function, shown below, is defended so that it produces the greatest integer less than or equal to x
This is further explained below.
What is a integer?A natural number that is either positive or negative, expressed as an integer, or the number zero itself are all examples of integers.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, The biggest integer function, which is shown down below, is validated in such a way that it generates the greatest integer that is less than or equal to x.
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CQ
The greatest integer function shown below, is defined so that it produces the gretest integer__ or equal to x. f(x)=[ [x] ]
One spring day, Hunter noted the time of day and the temperature, in degrees
Fahrenheit. During that time, the temperature rose, stayed steady, and fell, at
different rates. On the set of axes below, Hunter created a graph of temperature over time.
How long did the temperature hold steady for??
For 6 hours the temperature is held steady
Solution :
Line Graph:
A line graph—also known as a line plot or a line chart—is a graph that uses lines to connect individual data points. A line graph displays quantitative values over a specified time interval. In finance, line graphs are commonly used to depict the historical price action of an asset or security.
Line graphs can be compared with other visualizations of data including bar charts, pie charts, and (in trading) candlestick charts, among others
Temperature Rose:
It is the increase over ambient temperature of the winding due to energizing and loading
stayed steady:
A steady situation continues or develops gradually without any interruptions and is not likely to change quickly.
Temperature fall :
Temperature drop (T1−T2) is a direct indication of energy extracted. For a given resource, it is dependent on T2 which is in turn dependent on the minimum temperature of the process Ti.
There, we can see that the temperature between 12 noon to 6 pm is not changed much.
therefore we can say that for 6 hours the temperature is holding steady.
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What is the f(n) for -5?
A.4
B.1
C.-1
D.-6
Pls help 15 points going out
will give brainliest
On a trip to Canada, you may wish to convert the local temperature from Celsius to Fahrenheit. Given the following formula, determine the temperature in degrees Fahrenheit
Answer:
138.2
Step-by-step explanation:
Celsius to Farenheit
(59/5)*9=106.2
106.2+32=138.2 farenheit
5. Find the area of each parallelogram. A= square centimeters B= square centimeters C= square units
4 cm is the height of the parallelogram.
What in mathematics is a parallelogram?
A quadrilateral with the opposing sides parallel is called a parallelogram (and therefore opposite angles equal). A parallelogram with all right angles is known as a rectangle, and a quadrilateral with equal sides is known as a rhombus.The area is always given by squared units and never by single units!
The area of a parallelogram is given by the equation
A = b * h
b is the base length of the parallelogram
h is the height of the parallelogram
And so, plugging in our given values, we get
24cm² = 6 cm . h
h = 24 cm/6cm
h = 4 cm
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The complete question is -
The area of a parallelogram is 24 centimeters and the base of the parallelogram is 6 centimeters. What is the height of the parallelogram?
The product of two number is -100. One of the factor is less than 10 and more than 0
The given problem has 4 different solutions as below.
(1, -100)(2, -50)(4, -25)(5, -20)Given that the product of the two numbers is -100.
And one of the factors is less than 10 and more than 0.
Assume c and d are the two required numbers.
Then we have cd = -100, here 0 < c <10.
We know that the factors of 100, which are less than 10 and greater than 0 are 1, 2, 4, and 5.
When c = 1, we get 1 x d = -100 ⇒ d = -100
When c = 2, we get 2 x d = -100 ⇒ d = -100/2 = -50
When c = 4, we get 4 x d = -100 ⇒ d = -100/4 = -25
When c = 5, we get 5 x d = -100 ⇒ d = -100/5 = -20
So, the other factors corresponding to the above factors are -100, -50, -25, and -20.
Therefore, the given problem has 4 different solutions as below.
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Tiffany buys a circular mirror. She
wants to decorate the mirror by gluing
ribbon along the outer edge of the
mirror. How long is the ribbon if the
mirror has a 15 inch radius?
Area = 70,6.5 inch² long is the ribbon if the mirror has a 15 inch radius .
What area is a circle?
A circle's area is equal to pi times the radius squared (A = r2). Discover how to apply this formula to determine a circle's area given its diameter.
Describe Area -
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.
Tiffany buys a circular mirror.
r = 15 inch
long is the ribbon if the mirror has = πr²
= 3.14 × 15 × 15
= 70,6.5 inch²
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(solve the literal equation for y.)
6 - 3y = -6
Answer:
4
Step-by-step explanation:
2x3-x2-2x+1 divided by 2x-1
Answer: we have to divide a
This should be done by using a long division method.
multiply x+1 by
Therefore the quotient is
The remainder is 0
Step-by-step explanation: hope this helps
Answer:
2x^3-7x/2 -1
Step-by-step explanation
Let me know if this is an option. I was unsure if the x was the letter x or the multiplication symbol. Thanks, let me know
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
Hint: the answer will be a 4 digit number, it might include decimals it might not i dunno
Answer:
127.3 feet
Step-by-step explanation:
Use Pythagorean Theorem which says
leg^2+leg^2=hyp^2
90^2+90^2= c^2
8100 +8100=c^2
16200 = c^2
sqrt16200 = c
c ~= 127.27922
Round to one decimal place.
c ~= 127.3 feet
OR, use the shortcut of Special Right Triangles, 45°-45°-90° where, the long side (hypotenuse) is the leg•sqrt2
The legs are 90.
So, the long side is 90•sqrt2
~= 127.27922
~= 127.3 feet
see image.
Suppose that dollars in principal is invested for years at the given interest rates with continuous compounding. determine the amount that the investment is worth at the end of the given time period. p=1$2000, t=10yr
Amount after 10 years at 3%, 4% and 5.5% interest with principal $20000 is $26878.32, $29604.88 & $34162.88 respectively.
Although a part of your question is missing, you might be referring to this full question: Suppose that P dollars in principal are invested for years at the given interest rates with continuous compounding. Determine the amount that the investment is worth at the end of the given time period. p=$20000, t=10yr
a. 3% interest
b. 4% interest
c. 5.5% interest
P = $2000
T = 10 years
Formula to be used:
A = P(1+r/100)^n
A = total amount after n years
P = principal amount invested
r = rate of interest
n = number of years the money is invested
Solving for part a:
A = 20000(1+3/100)^10
= 20000*1.34
A = 26878.32
Solving for part b:
A = 20000(1+4/100)^10
= 20000*1.48
A = 29604.88
Solving for part c:
A = 20000(1+5.5/100)^10
= 20000*1.70
A = 34162.88
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It rained a total of 10 inches in a week. the first day it rained 6 inches, then it rained 2/3 every day after that. how many more days did it rain for?
Solving the given fraction, we get that It will rain for 1 day more, that means a total of 2 days.
According to the question, first day it rained 6 inches. Then it rained 2/3 every day after that. Solving the fractions, we get that second day it will rain,
(6 × 2/3) = 4 inches as it rained 2/3 every day after that .
So, it rained a total of, 6 + 4 inches = 10 inches in a week.
We have been given that it rained a total of 10 inches in a week. While solving the fraction, we found that it rained for 10 inches in just days, 6 inches in a day and 4 inches the other day. This tells us that it will not rain for the remaining 5 ( 7 - 2 ) days.
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