Answers
A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function.
The rate of change will be 3/4.
What is meant by linear function?A function with the formula f(x) = ax + b, where a and b are real values, is referred to as a linear function. Here, a stands for the line's gradient, and b for the y-axis intercept (which is sometimes called the vertical intercept).
The rate of change of y with respect to x, can be calculated utilizing any two of the pairs of values of the table, say, (3, -5) and (7, -2).
Rate of change [tex]$=\frac{y_2-y_1}{x_2-x_1}$[/tex]
Let, (3, -5) = (x1, y1) and (7, -2) = (x1, y1).
Rate of change [tex]$=\frac{(-5)-(-2)}{7-3}$[/tex]
Rate of change = 3/4.
Therefore, the correct answer is option c) 3/4.
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Related Questions
i need 2 more please help me
Answers
A and B and C
Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and express P in the form P(x) = D(x) Q(x) + R(x).
P(x) = 3x³-4x²-3x, D(x) = 3x - 4
P(x) =
Answers
The value of Q(x) = x² - 1
R(x) = 4
What is Long Division?
Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.
By long Division method:
x² - 1
_______________________________
(3x - 4) | 3x³ - 4x² - 3x
3x³ - 4x²
_________________
0 - 0 - 3x
- 3x + 4
___________________
0 + 4
Q(x) = x² - 1
R(x) = 4
Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1 ) + 4
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Determine the rule for translating ABC to A'B'C'
Answers
Correct answer is A, the rule for translating ABC to A'B'C' is left 2, up 9.
What does translating a triangle mean?An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. are frequently called slides. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."
A translation in geometry is a type of transformation that shifts a geometric figure in a certain direction without altering its size or orientation. The figures are congruent before and after the transformation since it is a type of stiff transformation.
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The midpoint of GH is M(3, 6). One endpoint is H(6, 5). Find the coordinates of the other endpoint G.
Answers
The coordinates of the endpoint G is (0, 7).
The midpoint of the coordinate is the centre point which can be calculated by finding the average. So, the relation representing the endpoints and midpoint is as follows -
Midpoint (x, y) = ([tex] x_{1}[/tex] + [tex] x_{2}[/tex]/2), ([tex] y_{1}[/tex] + [tex] y_{2}[/tex]/2)
Keep the value in mentioned formula to find the endpoint G, represented as [tex] x_{1}[/tex] and [tex] y_{1}[/tex].
(3, 6) = ([tex] x_{1}[/tex] + 6/2) ([tex] y_{1}[/tex] + 5/2)
Relating the x and y values -
x value :
3 = [tex] x_{1}[/tex] + 6/2
[tex] x_{1}[/tex] + 6 = 3×2
[tex] x_{1}[/tex] + 6 = 6
[tex] x_{1}[/tex] = 6 - 6
[tex] x_{1}[/tex] = 0
y value :
6 = [tex] y_{1}[/tex] + 5/2
[tex] y_{1}[/tex] + 5 = 6×2
[tex] y_{1}[/tex] + 5 = 12
[tex] y_{1}[/tex] = 12 - 5
[tex] y_{1}[/tex] = 7
Thus, the coordinates of point G from the line GH is (0, 7).
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please try to answer quickly my brainly app is crashing
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The formula to calculate the lateral area of a cone is given by
[tex]LA=pi*r*l[/tex]where
LA=10.5pi in2
r=2.1 in
l=? slant height
substitute given values
[tex]\begin{gathered} 10.5pi=pi*2.1*l \\ solve\text{ for l} \\ l=\frac{10.5pi}{pi*2.1} \\ \\ l=5\text{ in} \end{gathered}[/tex]The answer is 5 inchesA pedestrian is walking at a speed of 3 km/hr. Express the distance in kilometers, d, as a function of time in hours, t.
The question format : d(t) =
Answers
This is because
distance = rate*time
Rate is another term for speed.
Fill in the blanks to express the quantities given in ratio language. Ratios must be
expressed in simplest form.
Number of Animals in the Pet Store:
Animal Count
16 cats
8 dogs
For every __ cats in the pet store, there are __dogs.
Answers
An eighteen-acre building lot is five times as long as it is wide. What are its dimensions? [Note: 1 acre = 43,560 ft2.]
Answers
The dimensions of building lot are 396 feet width and 1980 feet length.
Let the width of building lot be x. So, the length of the same building lot will be 5x. According to the formula, the area will be length × width.
18 acre = x×5x
Keep the value of acre in the above mentioned relation
18 × 43,560 = 5x²
Performing multiplication on Left Hand Side of the equation
784,080 = 5x²
Performing division by 5
x² = 156,816
Now taking square root to find the value of x
x = ✓156,816
x = 396 ft
Thus, the width of building lot is 396 feet
The length of building lot = 5×396
Performing multiplication
The length of building lot = 1980 feet
Therefore, the length and width of building lot is 1980 feet and 396 feet respectively.
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I REALLY NEED HELP PLEASE THIS WORK IS FOR MONDAY.can y’all please help me:(
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The statement that best describes the total cost of the Screened Loam, Round stone, and Crushed stone is; D: The total cost is greater than $325
How to solve Algebra Word Problems?We are given the amount of each material required for the Landscaping Project as;
Screened Loam = 3.25 cubic yards
Round stone = 1.5 cubic yards
Crushed stone = 2.5 cubic yards
Likewise we are given the cost of each of these materials per cubic yard as;
Cost of Screened Loam = $26 per cubic yards
Cost of Round stone = $112.5 per cubic yards
Cost of Crushed stone = $37.5 cubic yards
Thus;
Total Cost = (26 * 3.25) + (112.5 * 1.5) + (37.5 * 2.5)
Total Cost = 84.5 + 168.75 + 93.75
Total Cost = $347
Looking at the given options, the most appropriate is option D
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Find the value of x.
(5x − 17)°
13
132
12
48
Answers
Answer:
its 12
Step-by-step explanation:
Write an equation is point slope form of a line given that the slope is 2/3 and that the line goes through the point (5,-2)
Answers
Answer:
[tex](y+2)=\frac{2}{3} (x-5)[/tex]
Step-by-step explanation:
Point slope form is shown below:
[tex](y-y_1)=m(x-x_1)[/tex]
We are given the slope m = 2/3 and the point x1 = 5, y1 = -2
Simply plug in these numbers into the above equation.
[tex](y--2)=\frac{2}{3} (x-5)[/tex]
Simplify:
[tex](y+2)=\frac{2}{3} (x-5)[/tex]
Use the remainder theorem to find P (3) for P(x) = -x^4+3x^3-2x+3.
Specifically, give the quotient and the remainder for the associated division and the value of P (3).
Answers
The most appropriate choice for remainder theorem will be given by-
Quotient = [tex]-x^3-2[/tex]
Remainder = -3
What is remainder theorem?
When f(x) is divided by (x-a), the remainder will be f(a).
If the remainder is zero, (x-a) will become a factor of f(x)
Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.
There is also a well known formula
Divisor x Quotient + Remainder = Dividend
Here,
P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]
P(3) = [tex]-(3)^4+3(3)^3-2(3)+3[/tex]
= [tex]\\-81+81-6+3[/tex]
= -3
So by Remainder theorem, remainder is P(3)
So, Remainder = -3
Let the quotient be q(x)
divisor = [tex]x - 3[/tex]
We know,
Divisor x Quotient + Remainder = Dividend
[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]
So, Quotient = [tex]-x^3-2[/tex]
Remainder = -3
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Simplify the expression,
Assume all variables are positive.
Answers
Answer:
x²[tex]\sqrt{5}[/tex]
Step-by-step explanation:
using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
given
5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]
simplify the 20 and 45 inside the radicals
[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]
[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]
Then
= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )
= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²
= x²[tex]\sqrt{5}[/tex]
Thu has the same amount of money automatically deposited into a new savings account each week. After 2 weeks, she has $14. After 5 weeks, she has $35. The unit rate is measured in dollars per week. What is the constant of proportionality?
Answers
For the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.
As given in the question,
For the saving account,
Amount deposited is directly proportional to the number of weeks
Let y be the amount deposited and x be the number of weeks
y ∝ x
y = kx
'k' is the constant of proportionality
As per data unit rate is measured in dollars per week
For y = $14 then x = 2 weeks
14 = 2k
⇒ k = $7
For y = $35 then x = 5weeks
35 =5k
⇒ k = $7
Therefore, for the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.
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What are the The values of X and why that satisfy this equation (x+yi)+(4+9i)=9-4i
Answers
The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
In the question ,
the equation is given as
(x+yi)+(4+9i)=9-4i
to find the value of x and y , we solve LHS and RHS of the equation separately
So LHS =
(x+yi)+(4+9i)
x+yi+4+9i
Adding the real and imaginary terms , we get
(x+4)+(y+9)i which is equal to RHS that is 9-4i
So , on comparing , we get
x+4 = 9 and y+9 = -4
x= 9-4 and y = -4-9
x = 5 and y = -13
Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .
The given question is incomplete , the complete question is
What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i ?
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the measure of the angle of a triangle are shown in the figure below. solve for x (8x-18)° 110° 40°
Answers
Answer:
x = 6
Step-by-step explanation:
180 = (8x - 18) + 110 + 40
180 = 8x + 132
48 = 8x
6 = x
If the measure of the angle is needed:
8(6) - 18 = 30
I need help with this
Answers
Answer:
113.85
Step-by-step explanation:
230*55% because 100%-45%=55% is 126.5
Then 126.5*90% because 100%-10%=90% which is 113.85
The graph of f(x) is shown.
For what values of x does f(x) = 0?
A) −1, 1, 2
B) −2, −1, 1
C) −3, −1, 1
D) −1, 1, 3
Answers
Answer:
C
Step-by-step explanation:
f(x) =0
when the curve intersects the x axis
goodluck :)
Evaluate g(18), when g(x)=−8x+14
Answers
Answer:
-130
Step-by-step explanation:
g(18)= -8(18)+14
=-144+14
=-130
The employees at a baseball bat factory need to make 350,000 bats in 6 months. They make 2,750 bats each day and work 127 days in the 6 months. Do the employees make enough bats?
Answers
Answer:
75 boxes
Step-by-step explanation:
If you divide 24000 bats by 50 boxes, you get 480. Then, if you divide the 36000 by 480, you will get 75
under what circumstances can a very small treatment effect still be significant? group of answer choices if the standard error of m (s m) is very large if the sample size (n) is very large all of the other factors are likely to produce a significant result. if the sample standard deviation (s) is very large
Answers
A minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
What is the standard error, and sample size?The standard error calculates the discrepancy between a sample's estimate and the actual value for the population. Therefore, the standard error should be smaller the better. In fact, a standard error of zero or extremely close to it would indicate that the projected value and the actual value are identical.Sample size determination is the process of deciding how many observations or replicates to include in a statistical sample. The sample size is an important consideration in any empirical study that aims to infer information about a population from a sample.Therefore, a minor treatment effect may nonetheless be significant under certain circumstances if the sample size is large and the sample variance is low.
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help meeeeeeeeeeee pleaseeeeeeeeeeeeee!!
Answers
Answer:
Yes, is a function
Step-by-step explanation:
it does not repeat x's
Water is drained at constant rate of 2 gallons per minute from a fish tank containing 28 gallons of water which equation represent the number of gallons of water remaining in the tank y based on the number of minutes t since water started draining from the fish tank where 0<_t_<14?
Answers
The equation represent the number of gallons of water remaining in the tank is y = 28 - 2t
What is an equation?A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.
The water remaining is illustrated as y.
The time taken is t.
The appropriate equation will be:
y = 28 - (2 × t)
y = 28 - 2t
This illustrates the water remaining in the tank.
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Determine the range of the following graph:
Answers
Answer:
The range is the allowed values of y.
Set notation: { y | -9 [tex]\leq[/tex] y [tex]\leq[/tex] 0, y ∈ R}
Interval notation: [-9,0]
Hope that helps
Determine which integer will make the inequality 5x + 12 > 2x + 6 false.
S:{−3}
S:{3}
S:{−1}
S:{1}
Answers
Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.
As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false
Let's solve the inequality for range of x first,
5x + 12 > 2x + 6
5x - 2x > 6 - 12
3x > -6
x > -2
So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.
And out of the given options only x = -3 < -2
Hence, we accept {−3} as our required integer.
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Answer:
S:{−3}
Step-by-step explanation:
Got it right on a test.
If what is the length of DF?
Answers
Answer:
DF = 13
Step-by-step explanation:
Congruent triangles:
In ΔABC & ΔDEF,
∠A = ∠D
∠C = ∠F
CB = FE
ΔABC ≅ ΔDEF {Angle Angle Side congruency}
DF = AC = 13
C = dn or C = 2rn
(What is the radius of a circle with a circumference of 25cm?)
Answers
Hello!
Let's take this problem step by-step:
What is the formula for the circumference of a circle:
[tex]\text{Circumference} = 2\pi *\text{radius}[/tex]
Since the circumference is 25 cm
[tex]25 = 2\pi *\text{radius}\\\\\text{radius} = \dfrac{25}{2\pi }[/tex]
Answer: [tex]\text{radius} = \dfrac{25}{2\pi }[/tex]
Hope that helps!
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A total of 77 tornadoes have been documented in tuscaloosa county in the period beginning on january 1, 1950 and ending on december 31, 2020. What is the recurrence interval for tornadoes in tuscaloosa county?.
Answers
The Recurrence interval for tornadoes in tuscaloosa county is 0.909
What is recurrence interval ?
The time period in which a new occurrence of something that happened or appeared before : a repeated occurrence or The time frame in which a previously occurring event or appearance first occurs: a recurring occurrence
Given that,
Total number of tornadoes is 77
Total time for Recurrence is 70 years
Using these data,
Recurrence = Total time for recurrence / Total number of tornadoes
Substituting we get,
Recurrence interval = 70/77
= (70/77)
= (0.909)
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Question 4(Multiple Choice Worth 1 points)
(03.01 MC)
Simplify square root of three times square root of twenty one.
square root of twenty four
square root of sixty three
three square root of seven
nine square root of seven
Answers
The Simplification of square root of three times square root of twenty one is; C: three square root of seven
How to use law of Exponents?The Laws of Exponents are;
When multiplying like bases, ensure that the base is kept the same while we add the exponents. When raising a base with a particular power to another specific power, ensure that the base is kept the same and multiply the exponents. When dividing like bases, ensure that the base is kept the same and subtract the denominator exponent from the numerator exponent.We have the expression;
√3 * √21
= √3 * √3 * √7
= (√3 * √3) * √7
= 3√7
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X - 11 = -44 solve one step equation.
Answers
Answer: x = -33
Explanation:
Given the following question:
x - 11 = -44
Step 1: collect the like terms
x = -44 + 11
x = -33
Therefore, x = -33