The statement that best describes the rate of change of the linear function is given as follows:
For each increase of 1ºF in temperature, the average weight of the strawberries decays by 7/3 grams.
How to obtain the average rate of change of a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
The coefficients are listed as follows:
m is the slope of the linear function, representing the rate of change of the function, that is, by how much the output of the function changes when the input increases by one.b is the y-intercept of the function, which is the value of the output when the input is of zero.The input and the output variables for this problem are given as follows:
Input: Average daily mean tempetature, in ºF.Output: Weight of the strawberries, in grams.The function is defined as follows:
y = -7x/3 + 72.75.
Hence the slope is:
m = -7/3.
And the interpretation, considering the input and output variables, is that for each increase of 1ºF in temperature, which is the input variable, the average weight of the strawberries, which is the output variable, decays by 7/3 grams.
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If F=2x^2−3x−2, then select the correct statement. a. x=-1/2 is the position of stable equilibrium, b. x=2 is the position of stable equilibrium, c. x=-1/2 is the position of stable equilibrium, d. x=2 is the position of neutral equilibrium
The correct option is A which is x=-1/2 is the position of stable equilibrium.
Given in the question,
F=2x²−3x−2
dx/dF = 4x−3<0
x<3/4 for stable equilibrium
x>3/4 for unstable equilibrium
For stable F=0
2x²−3x−2=0
2x²−4x+x−2=0
2x(x−2)+1(x−2)=0
(2x+1)(x−2)=0
x=−1/2 ,x=+2
In the event that a system in equilibrium is disturbed marginally, in the event that it is steady it will in general re-visitation or waver about its unique equilibrium state. An unsteady system will in general keep on getting away from its unique equilibrium state when moved away by it. Consequently, on account of a stable equilibrium, there is a tendency for the item to return to its old position. In an unstable equilibrium again, the balance is temperamental when a slight unsettling influence inspires further unsettling influence, with the goal that the first position is rarely reestablished.
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Help me asap please!! Ill mark brainliest!! I really need to get this right! ty:))
Answer:
y=1/2x+2
Step-by-step explanation:
slope form is y=mx+b
m-slope
b- y intercept (when x is 0)
To find slope we use y2-y1/x2-x1
4-3/4-2
1/2 is the slope
Now we know every time X goes up 1 y goes up 1/2 so we subtract back to find y intercept
(1,2.5)
(0,2)
Y intercept is 2
Hopes this helps please mark brainliest
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
1,6, -7
2,12,-14
-7,1
-1,7
The roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x=-7 and x=1.
What is a quadratic equation?Any equation in algebra that can be written in the standard form where x stands for an unknown value and a, b, and c stand for known values is said to be a quadratic equation.
In general, it is assumed that a > 0; equations with a = 0 are regarded as degenerate since they become linear or even simpler.
So, the roots of 0 = 2x² + 12x-14 are:
2x² + 12x-14 = 0
2x² + 14x - 2x -14
2x(x + 7) - 2(x + 7)
(2x - 2) (x + 7)
Now, use the zero product property as follows:
2x - 2 = 0
2x = 2
x = 2/2
x = 1
And
x + 7 = 0
x = -7
Therefore, the roots of the quadratic equation 0 = 2x² + 12x-14 is (C) x = -7 and x = 1.
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Correct question:
What are the roots of the quadratic equation 0 = 2x² + 12x-14?
a. 1,6, -7
b. 2,12,-14
c. -7,1
d. -1,7
HELP SOLVE FOR 24 points
Answer:
Slope = -1/6
Step-by-step explanation:
Answer:
the correct one is Slope = -1/6
Type the correct answer in each box. Use numerals instead of words.
The table below shows the cost for certain number of truck loads of fruit. Fill in the missing costs.
Truck
Load Cost ($)
1 2,530
2
3 7,590
8
Based on the pattern in the table, 11 truck loads of fruit would cost $
.
Based on the pattern in the table (see attachment), 11 truck loads of fruit would cost $27,830.
What is a direct proportion?Mathematically, a direct proportion or direct variation can be represented the following mathematical expression:
y = kx
Where:
y represents the truck load.x represents the cost in dollars.k represents the constant of proportionality.By applying direct proportion, we have the following mathematical expressions:
1 truck load of fruit = 2,530 dollars.
11 truck load of fruit = X dollars.
Cross-multiplying, we have the following:
Cost, X dollars = 11 truck load of fruit × 2,530 dollars.
Cost, X dollars = 27,830 dollars.
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Rafael is making punch and needs a gallon of raspberry sorbet and 2 liters of Sprite to make 12 cups. He pays $3.00 for a 2-liter container of Sprite and $4.00 for a quart of sorbet. What is the minimum amount he should charge per cup of punch to make a $10 profit? (Remember there are 4 quarts in a gallon.) Your answer should be a dollar amount rounded to the nearest hundredth.
The $3.00 for 2 liters of Sprite and $16 for 1 gallon of raspberry sorbet indicates that the minimum amount Rafael should sell a cup of punch.
The minimum price at which Rafael should sell a cup of punch to make a profit of $10 is approximately $2.42 What is a profit?A profit is a financial gain from the revenue that exceeds the sum of expenses and the taxes.
The ingredients required to make 12 cups of punch are;
1 gallon of raspberry and 2 liters of Sprite
Amount he pays for 2-liter of Sprite = $3.00
Amount paid for a quart of sorbet = $4.00
The minimum amount to be charged so as to make a $10 profit is found as follows;
4 quarts is equivalent to one gallon
Therefore;
1 quart of sorbet costs $4
4 quart of sorbet = 1 gallon of sorbet costs 4 × $4 = $16
The cost of 2-liters of Sprite = $3.00
The cost of 12 cups of punch is therefore;
$3 + $16 = $19
The revenue when a profit of $10 is made is therefore;
Revenue = $19 + $10 = $29
The selling price per cup, p, is therefore;
p = $29 ÷ 12 $2.42
The price per cup to make a profit of $10 is approximately $2.42≈
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What number can be subtracted from
974,798 to make 291,256?
Answer:
Step-by-step explanation:
answer: 683542
974798-683542= 291256
974798-291256=683542
Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
a. Complete the table to model the situation.
The given table is completed.
Given,
Finance Desiree starts a savings account with $125.00. Every month, she
deposits $53.50.
we are asked to complete the table to model the situation.
Month is represented by x.
Amount in savings, be y.
hence we frame:
x = 0, y = $125
x = 1, y = $(125+53.5) = $178.50
x = 2, y = $(178.50+53.5) = $232
x = 3, y = $(232+53.5) = $285.50
x = 4, y = $(285.50+53.5) = $339
hence we complete the table for 5 months,
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40 sayısının çarpanlarından
A) 1
B) 2
kaç tanesi tek sayıdır?
C) 3
D) 4
Answer:
1. Factors of 40: 1, 2, 4, 5, 8, 10, 20 and 40
1. 40 sayısının çarpanlarından: 1, 2, 4, 5, 8, 10, 20 and 40
Step-by-step explanation:
kaç tanesi tek sayıdır: 2
How many are odd numbers: 2
yanılıyor olabilirim eğer bir hata yaparsam lütfen söyleyin
I might be wrong so if I make any mistakes please tell me
Consider the expression 1/3bwh
Complete 2 of the description parts of the expression:
1. The entire expression is the product of ____.
2. In this context, 1/3 is a ____.
1. The entire expression is the product of 4 factors.
2. In this context, 1/3 is a coefficient.
What are factors?Factors can be defined as the fundamental building blocks of a number. This ultimately implies that, factors simply refers to numbers which can be multiplied together to get another number.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Based on the given expression 1/3bwh, we can logically deduce that there are four (4) factors and these include the following:
1/3bwhIn conclusion, 1/3 is considered as a coefficient of bwh.
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there are 200 sixth graders and 170 of them want to take geometry and 175 want to take algebra what is the least number of people who want to take both geomtry and algebra
The least number of people who want to take both geometry and algebra is 145
How to find the least number of people that would like to take geometry and algebraThe inclusion-exclusion principle is a counting method that generalizes the well-known approach to determining the number of members in the union of two
The inclusion - exclusion principle is used here
let the number that will take both algebra and geometry be x
200 = 170 - x + 175 - x + x
200 = 345 - x
x = 354 - 200
x = 145
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The least number of people who want to take both geometry and algebra is 145 graders
What is intersection of set?The intersection of sets can be denoted using the symbol '∩'. the intersection of two sets A and B is the set of all those elements which are common to both A and B. Symbolically, we can represent the intersection of A and B as A ∩ B.
The number of graders that want to take geometry is 170
The number of graders that want to take algebra is 175
A ∩ G= n(A) + n(G) -( AUB)
=175+170-200
= 345-200
= 145
Therefore the least number of people that will want to do both geometry and algebra is 145
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Determine the value of x in the equation.
Four fifths times the quantity x plus 9 end quantity minus one fifth times x equals three fifths times the quantity x plus 12 end quantity.
A). No solution
B). Infinite solutions
C). x = 3
D). x = 1
Answer:
B) Infinite solutions
Step-by-step explanation:
[tex] \frac{4}{5} (x + 9) - \frac{1}{5} x = \frac{3}{5} (x + 12)[/tex]
[tex] \frac{4}{5} x + \frac{36}{5} - \frac{1}{5} x = \frac{3}{5} x + \frac{36}{5} [/tex]
[tex] \frac{3}{5} x = \frac{3}{5} x[/tex]
We have infinite solutions.
What is the measure of y?
4
16
X
y = [?]
4
y
N
The measure of y = 8
Define Pythagorean theorem
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Let, sides will be A, B, C and D
So, we have given that
AD = 16
DB = 4
DC = y
We know,
DC² = AD * DB
Now, plug in the values
y² = 4 * 16
y² = 64
y = 8
Hence the measure of y = 8
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I need assistance of Geometry, please help. (Transformation, Triangles, and Quadrilaterals.)
Answer: oh ok
Step-by-step explanation:
well you know just ask your mom
Which expressions are equivalent to g16? Check all that apply.
Answer:
I think you mean 6^16
if so, the right answers are
the 3rd one (6^-4)^-4
the 4th one (6^-2)^-8
last answer (6^8)^2
Step-by-step explanation:
you have to apply the Powers of a Powers Property:
(a^n)^m=a^(nm), basically you're multiplying the exponents (the powers)
Hope this helps.
Question Help v Error Analysis On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficients of the algebraic expression are 6, 1.
The constant of the algebraic expression is 9.
The error Jake might have made is that: D. Jake did not include the coefficient 1.
What is an algebraic expression?An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables, numerical quantities (constants), accompanied with the use of different mathematical operations.
What is a coefficient?In Mathematics, a coefficient can be defined as a constant quantity or numerical value (number or numeral) that is typically placed before the variable in an algebraic expression.
Based on the information provided about this algebraic expression, we can reasonably infer and logically deduce that there are only two (2) coefficients and one constant, and these include the following:
6 as the coefficient of b.1 as the coefficient of y.9 is a constant.This ultimately implies that, an error which was made by is the exclusion of the coefficient 1 for y.
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Complete Question:
On a math test a student, Jake, has to identify all the coefficients and constants of the expression 9 + 6b + y. Jake says that 6 is a coefficient and 9 is a constant. Identify all the coefficients and constants of the expression. What error might Jake have made?
The coefficient(s) of the expression is/are __
Use a comma to separate answers as needed.)
The constant(s) of the expression is/are __
(Use a comma to separate answers as needed.)
What error might Jake have made?
A. Jake said 9 is a coefficient. It is actually a constant.
OB. Jake said 6 is a constant. It is actually a coefficient.
OC. Jake did not include the constant 1.
OD. Jake did not include the coefficient 1.
pleaseeeeeee explain
The fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
What is the ratio?It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.
It is given that, the ratio of battleships to destroyers in the navy is 10:15.
battleships : destroyers = 10:15
The fraction of the total number of boats is the number of destroyers is,
=15/10+15
=15/25
The ratio of battleships to destroyers in the navy is 10:15. The number of battleships is 0.56 times the number of destroyers.
Thus, the fraction of the total number of boats is the number of destroyers is 15/25 and the number of battleships is 0.56 times the number of destroyers.
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3 miles in 45mins what’s the mph
Answer: 4mph
Step-by-step explanation: convert 45 minutes into hours: 45min*1hr/60min = 0.75hr 3miles/.75 hr = 4mlies/1hr = 4mph
Please help me with this question
Answer:
1.5 cm
Step-by-step explanation:
Triangles WTY and UTV are similar. Segment WT corresponds to UT and segment YT corresponds to VT. Thus we can create an equation knowing that the ratio of WT to UT must equal to the ratio of YT to VT.
WT = 7.5 cm
UT = ?
YT = 15 cm
VT = 12 cm
WT / UT = YT / VT
7.5 / UT = 15 / 12
UT = 6
WT = WU + UT
7.5 = WU + 6
WU = 1.5
(9x 10^-2 )- (3x 10^-2
a.6 x 10^-4
b.12 x 10^-2
c.6 x 10^0
d.6 x 10^-2
Answer:
Step-by-step explanation: i'm not one hundred percent sure but i think its B
pls help me with annoying sparx maths questions
and ill mark u as brainiest
mrs Stuart borrowed $4,000 from Commonwealth Bank for some furniture her loan is for 2 years at an interest rate of 7%, how much interest will she pay
Answer:
560
The formula for interest is I=prt
so 4000×7/100×2=560
Find the Error A student found the slope of one segment on a line to be 4 and the slope of another segment on the same line to be 8/2. He concludes that the slope is different at different points on the line. Correct his thinking
If we simplify the fraction we will see that the slope is equal in the two segments of the line.
How to correct the student?
A linear equation is written as:
y = m*x + b
Where m is the slope and b is the y-intercept, both of these are constants.
In this case the student found the slope on one part to be 4, and on other part to be 8/2.
But if you solve that second quotient:
8/2 = 4
The slope is still 4, so in both segments the slope is the same, which means that the slope is equal at different parts of the line.
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The test statistic of z = 1.49 is obtained when testing the claim that p > 0.8. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.05, should we reject H0 or should we fail to reject H0?
By using right tailed test the following results are obtained
a) The test is a right tailed test
b) P value = 0.0681
c) We fail to reject the null hypothesis
What is right tailed test?
Suppose there is a null hypothesis. If the alternate hypothesis claims that the true value of the parameter is greater than the null hypothesis, then the test used is called right tailed test.
a) Since p > 0.8, right tailed test is used
b) The corrosponding z is z = 1.49
P value = p(z > 1.49)
= 1 - p(z [tex]\leq[/tex] 1.49)
= 1 - 0.9319
= 0.0681
c) 0.0681 is greater than a = 0.05
So we fail to reject the null hypothesis [tex]H_0[/tex]
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The points (5, 4), (3, 2), and (-1, -2) all lie on the same line. Which is another
point that lies on the same line?
(-4,-5)
(7,5)
(-3, -3)
(0, 1)
Another point that lies on the same line is (-4,-5).
Given:
The points (5, 4), (3, 2), and (-1, -2) all lie on the same line.
if lines are on the same line there slopes are equal:
(5,4) and (3,2)
slope m = 2-4 / 3-5
= -2/-2
= 2/2
m = 1
The point that lies on the same line must have slope m = 1 with any given point.
suppose (5,4) and (-4,-5)
slope m = -5-4 / -4-5
= -9/-9
= 9/9
= 1.
Hence (-4,-5) is another point on the same line.
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The number y of perfume bottles in storage after x months is represented by the equation y=-20x+460 . Graph the equation.
The graph of the linear equation can be seen in the image at the end.
How to graph the linear equation?Here we have the following linear equation:
y = -20*x + 460
To graph the line, we need to find two points on the line, then graph these, and graph a line that connects them.
To get the points, we need to evaluate the linear equation in two values of x.
if x = 0
y = -20*0 + 460
y = 460
if x = 10
y = -20*10 + 460
y = -200 + 460
y = 260
So we have the points (0, 460) and (10, 260), then the graph of the line is:
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Find the cross-sectional area
Answer:
at middle of a,b,c
Step-by-step explanation:
........
the funtion 2x+1.5y=18 represents the number of book raffle tickets x and food raffle tickets y. you buy at the club event?
The solution of the equation 2x + 1.5y = 18 for the variable y is given as follows:
y = (18 - 2x)/1.5.
How to solve the equation for the variable y?The equation for this problem is presented as follows:
2x + 1.5y = 18.
To solve for the variable y, we have to isolate the variable y.
The first step is passing every term on the left side of the equality that does not contain the variable y to the right side, hence:
1.5y = 18 - 2x. (positive on the left side is negative on the right side).
Then the constant 1.5, which is multiplying on the left side, moves to the right side dividing the expression, hence:
y = (18 - 2x)/1.5.
Missing InformationThe problem asks for the solution of the equation 2x + 1.5y = 18 for the variable y.
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Lesson Performance Task
The image shows the angles formed by a pair of scissors. When the
scissors are closed, m<1= 0°. As the scissors are opened, the measures
of all four angles change in relation to each other. Describe how the
measures change as m<1 increases from 0° to 180°.
Answer: Angle 3 is a vertical angle of angle 1 and will always be identical to what angle 1 is.
Angle 2 and angle 4 are supplementary angles to angle 1 and will always be the difference between 180 and what angle 1 is.
For example, if angle 1 were 45 degrees, angle 3 would also be 45 degrees, and angles 2 and 4 would be 180-45 = 135 degrees.
Step-by-step explanation:
What is the answer to the equation:
2x+10=3x-5
Answer:
x=15
Step-by-step explanation:
Answer:
x=15
Step-by-step explanation:
See image below