Answer:
39
Step-by-step explanation:
The given function to us is ,
[tex]\longrightarrow f(x) = 3x^3 + 1\\ [/tex]
We need to find the average rate of change between [tex] x=1 [/tex] and [tex] x=3[/tex] .
We can calculate the average rate of change as ,
[tex]\longrightarrow A(x) =\dfrac{f(b)-f(a)}{b-a} [/tex]
So that ,
[tex]\longrightarrow A(x) =\dfrac{f(3)-f(1)}{3-1}\\ [/tex]
[tex]\longrightarrow A(x) =\dfrac{ \{ 3(3)^3 +1 -(3(1)^3+1)\}}{2}\\ [/tex]
[tex]\longrightarrow A(x) = \dfrac{ 81 +1 - 3 -1 }{2}\\[/tex]
[tex]\longrightarrow A(x) = \dfrac{78}{2}\\ [/tex]
[tex]\longrightarrow\underline{\boxed{ A(x) = 39}} [/tex]
1/7 + 1/39 answer please
Answer:
46/273
Step-by-step explanation:
To add fractions, they must have a common denominator. To set one, find a common multiple of both denominators. Simply multiply them together if it proves difficult.
7 x 39 = 253
Now set the denominators to this number and multiply the numerators by the opposite fraction's denominator.
39/259 + 7/253 = 46/253
This simplifies to 2/11
So, 1/3 + 1/39 = 2/11
Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
slope: 4, ordered pair: (−3,−2)
Answer:
[tex] \huge{ \boxed{y = 4x + 10}}[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
From the question
m = 4
In order to find c we substitute the point (−3,−2) into the equation y = mx + c
We have
[tex] - 2 = 4( - 3) + c \\ - 2 = - 12 + c \\ c = - 2 + 12 \\ c = 10[/tex]
We now substitute m and c into the equation
We have the final answer as
[tex] \bold{y = 4x + 10}[/tex]
Hope this helps you
Please help me!!!!!11
Answer:A
Step-by-step explanation:
N is a lie, its increasing
Q is linear
R is linear
P must be true
Answer:
The answer is A) In Section P, the function is linear and increasing.
Step-by-step explanation:
B is false because it is not decreasing
C is false because it is considered linear (linear is a line). Non-linear is typically a curved line.
D is false because it's not increasing or decreasing, so when it states decreasing it isn't even right.
Hope this helps!!!
During the last snowstorm, Joey made $135 shoveling snow for his neighbor he decided to spend this money on a new TV for his room. He spent all $135 on the TV but was very excited because he got the TV on sale and the price he paid for the TV was 40% cheaper than it normally was what was the original price of the TV prior to the sale?
Answer:
54
Step-by-step explanation:
40 x 135
_______
100
=54
Now we will calculate the actual probability that all a randomly chosen student has a schedule that excludes music theory. We have found that the probability is given as P=4C38C3 Express your answer as a fraction in simplest form.
The probability that all a randomly chosen student has a schedule that excludes music theory, using the combination formula, is of:
p = 1/14.
What is the combination formula?The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Without simplifying it, the probability that all a randomly chosen student has a schedule that excludes music theory is of:
[tex]p = \frac{C_{4,3}}{C_{8,3}}[/tex]
The numeric value for each of these combinations is given as follows:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex][tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]Hence the probability is given as follows:
p = 4/56.
The division of 56 by 4 has a quotient of 14, hence the simplified probability is of:
p = 1/14.
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f(x)= { -4x +4 for x <= 0
{ 10x - 4 for x > 0
FIND THE FOLLOWING VALUES
1. f(-4)= __
2. f(0)= __
3. f(2)= __
4. f(3)= __
For function, f(-4)=20, f(0)=4, f(2)=16 and f(3)=26
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given function is
f(x)= { -4x +4 for x <= 0
{ 10x - 4 for x > 0
We need to find f(-4),f(0),f(2) and f(3)
f(-4) is -4x +4 as x<=0
-4(-4)+4
16+4=20
f(-4)=20
f(0) is -4x +4 as x<=0
-4(0)+4=4
f(0)=4
f(2) is 10x - 4 as x>0
10(2)-4
20-4
f(2)=16
f(3) is 10x - 4 as x>0
10(3)-4
30-4
f(3)=26
Hence f(-4)=20, f(0)=4, f(2)=16 and f(3)=26
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please helllp
There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
Draw a conclusion based on the data provided.
Examining the rainfall data for the two periods a conclusion is that the range of the values are period 1 has low variability while period 2 has high variability
period 1: 0.6
period 2: 4
What is range in statistics?The range in statistics refers to the distribution of data between the lowest and greatest value in the distribution. It is a widely used indicator of variation.
Measurements of variability provide you with descriptive statistics for summarizing your data set in addition to measures of central tendency.
By deducting the lowest value from the greatest value, the range is computed. A short range indicates low variability in a distribution, whereas a big range denotes significant variability.
The range is
period 1: 2.5 - 1.9 = 0.6
period 2: 4.7 - 0.7 = 4
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i need help what tis 10+10
Answer: 20 tis it
Step-by-step explanation:
my man
Which number sentence is true?
A.
B.
C.
D.
The number sentence 4.8 < √32 is true
How to determine which number sentence is true?A number sentence is an arrangement of numbers and mathematical operation symbols
Given:
For 3 1/3 < √7
3 1/3 = 3.33 and √7 = 2.65
3.33 < 2.65
This is not true
For 4.8 < √32
√32 = 5.66
4.8 < 5.66
This is true
For |-3.2| < |-3.1|
|-3.2| = 3.2 Note: when you see sign | | you neglect the sign
|-3.1| = 3.1
3.2 < 3.1
This is not true
For 5.3×10⁵ < 9.76× 10⁴
5.3×10⁵ = 5.3×100000 = 530000
9.76× 10⁴ = 9.76×10000 = 97600
530000 < 97600
This is not true
Therefore, the number sentence 4.8 < √32 (4.8 < 5.66) is true. So option B is the answer
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If C is to be chosen at random from the set 1,2,3, 4 And D is to be chosen at a random from the set 1234. What is the possiblity C, D would be Odd?
The probability that C and D would be odd according to the given task content is; 1/4.
What is the probability that C and D would be odd?It follows from the task content that the probability that C and D would be odd be determined.
Given that the C and D are each chosen from a set 1, 2, 3, 4.
The probability that C is odd would be;
P (C is odd) = 2/4 = 1/2
Also; P ( D is odd) = 1/2
Consequently, the probability that C and D would be odd is;
= 1 / 2 × 1 / 2
= 1 / 4.
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Need help with this
Step-by-step explanation:
please recheck your question..
There is no question attached.
hope it helps..
Lacey has 6 more than 7 times the number of marbles Rasheed has. Together, Lacey and Rasheed have 70 marbles. How many marbles does Lacey have?
Answer:62
Step-by-step explanation:
let x=number of marbles Rasheed has
let 7x+6 = number of marbles Lacey has
x+7x+6=70
8x+6=70
8x=64
x=8
Plug 8 into 7x+6 and you get 62
Find the exact value of tan F in simplest radical form
The exact value of tan(F) in the simplest radical form for the given triangle is (√29)/8.
We are given a triangle. The vertices of the triangle are F, G, and H. The lengths of the sides of the triangle are given. The lengths of FG, GH, and HF are 8 units, √29 units, and √93 units, respectively. The triangle is a right-angled triangle. The measure of the angle ∠G is 90°. We must find the value of tan(F) in its most basic radical form. A radical expression is one that contains a square root.
Considering the angle ∠F, the base and the perpendicular of the triangle are FG and GH. The trigonometric ratio tan (F) is calculated as follows.
tan(F) = GH/FG
tan(F) = (√29)/8
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Determine which vehicle to purchase based on monthly payment.
A. Final sale price $25,000, 5
% interest, and offer financing for 60 months
B. Final sale price $29,000, 4% interest and offers financing for 72 months.
The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
For vehicle A,
The Principal amount of the car, P = $25000,
The rate of interest, r = 5% = 5/100 = 0.05,
The tenure, n = 60 months = 60/12 = 5 years,
Calculate the amount by the formula given below,
A = P (1 + r)ⁿ
Here A is the amount,
Substitute the values,
A = 25000 (1 + 0.05)⁵,
A = $31907.03
Similarly, for vehicle b
A = 29000 (1 +0.04)⁶
A = $36694.25
As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.
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Find X and Y. Give reasons to justify your answer
Answer:
x = 8. y = 21
Step-by-step explanation:
x + 8x + 18 = 90
combine like terms
9x + 18 = 90
-18 both sides
9x = 72
divide by 9 both sides
x = 8
______
3y + 27 = 90
-27 both sides
3y = 63
divide by 3 both sides
y = 21
hii, sorry please could someone answer
5 - x²
Answer:
5+-
[tex]5 + - x {}^{2} [/tex]
[tex] - x {}^{2} + 5[/tex]
Given the equation f + 32 = −2, solve for f. 16 −30 −34 −64
To solve for a variable, simply isolate it.
f + 32 = -2
f + 32 - 32 = -2 - 32
f = 34
Answer:
The correct answer is -34.
The graph of a quadratic function with vertex (4, -4) is
Find the domain and the range.
Write the domain and range using interval notation.
Answer:
Domain: (negative infinity, positive infinity)
Range: (negative infinity,-4]
Step-by-step explanation:
infinity always has parentheses
domain is seen from left to right
range is seen from bottom to top
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.4. What is the probability that no more than 3 of the entry forms will include an order? Round your answer to four decimal places.
Answer: The probability that more than 12 of the entry forms will include an order is 0.624.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
The probability that more than 12 of the entry forms will include an order can be found as:
P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P( X = 3) - P(X = 4)
P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)
P(X > 4) = 1 - 0.0009 - 0.0097 - 0.043 - 0.117 - 0.205
P(X > 4) = 0.624
Thus, the probability that more than 12 of the entry forms will include order is 0.624.
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Step-by-step explanation:
Identify the greatest common factor.
[tex]6zx^{6} tx^{4} , 30zx^{8} tx^{3} , 18zx^{5} tx^{5}[/tex]
The required greatest common factor is given as 6zx¹⁰t.
Given that,
To determine the greatest common factor among the expressions,
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
Given expression,
= 6zx⁶tx⁴, 30zx⁸tx³, 18zx⁵tx⁵
Taking common 6zx¹⁰t,
= 6zx¹⁰t{1 , 5x³, 3}
Thus, the required greatest common factor is given as 6zx¹⁰t.
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what is 1/3 of 3/8?write a division problem to match.
Answer: 1/8, Division equation: 1/3 divided by 8/3
Step-by-step explanation:
Step 1: Write this problem as an equation, of means multiply so the equation is 1/3 x 3/8.
Step 2: Solve the equation by multiplying the numerators and the denominators. You get 3/24.
Step 3: Simplify by dividing the numerator and denominator by their gcf. In this case it is 3. So, 1/3 of 3/8 is 1/8.
Step 4: Now we need to get the division equation of 1/3 x 3/8, for this you do the same thing as if we had to actually solve the division equation with fraction, just for changing multiplication to division instead. I am talking about keep change flip. You keep the first fraction the same. you change the operation to it's opposite ,and you flip the numerator and denominator in the second fraction. When we do this we get our division equation of 1/3 divided by 8/3.
Its in the scren shot thanks!
JK and KL make up line JL.
JL = 2x + 8, JK = 2x - 2, KL = x - 9
If JK and KL make up line JL:
JK + KL = JL
We are solving for KL, so isolate it.
JK - JK + KL = JL - JK
KL = JL - JK
x - 9 = 2x + 8 - (2x - 2)
x - 9 = 2x - 2x + 8 + 2
x - 9 = 10
Often times, we would solve for x, but considering x - 9 is what we wanted the solution to anyway, we don't need to bother solving for x.
KL = 10
jordan uses 1/3 of a tank of gas each week on their commute for 5 days. on average, what fraction of a tank is used daily?
The fraction of a tank is used daily is 1/15.
Given that, Jordan uses 1/3 of a tank of gas each week on their commute for 5 days.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Average tank of gas used = Total tank of gas/Number of days
= 1/3 ÷ 5/1
= 1/3 × 1/5
= 1/15
Therefore, the fraction of a tank is used daily is 1/15.
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The price of an item has risen to $169 today. Yesterday it was $130. Find the percentage increase.
Answer:30%
Step-by-step explanation:
Step-by-step explanation:
so,
100% = $130
1 % = 100%/100 = 130/100 = $1.30
the price changed by 169 - 130 = $39.
how many % are that ?
as many % and times 1% fits into $39 :
39 / 1.3 = 30%
the price increase was 30%.
What is the reciprocal of 3 ⅞
Answer:
[tex]\frac{8}{31}[/tex]
Step-by-step explanation:
the reciprocal of a number n is [tex]\frac{1}{n}[/tex]
given
3 [tex]\frac{7}{8}[/tex] ← express as an improper fraction
= [tex]\frac{31}{8}[/tex] , then
reciprocal = [tex]\frac{1}{\frac{31}{8} }[/tex] = [tex]\frac{8}{31}[/tex]
Answer:
[tex]\displaystyle \frac{8}{31}[/tex]
Step-by-step explanation:
First, we will turn 3 ⅞ into an improper fraction.
[tex]\displaystyle (3*\frac{8}{8} )+(\frac{7}{8} )=\frac{24}{8} +\frac{7}{8} = \frac{31}{8}[/tex]
Next, we will find the reciprocal. This means we flip the numerator and the denominator.
[tex]\displaystyle \frac{31}{8} \rightarrow \frac{8}{31}[/tex]
URGENT:
suppose that ln5=a and ln11=b. Use properties of logarithms to write the logarithm in terms of a and b. ln 5sqrt55
The phrase asked: [tex]\ln5\sqrt{55}[/tex]
if ln5=a and ln11=b:
[tex]\ln5\sqrt{55} =\\\\ \ln5+\ln(55)^{\dfrac{1}{2}}=\\\\\\ \ln5+\dfrac{1}{2}(\ln55)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5.11)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5+\ln11)=\\\\\\ a+\dfrac{1}{2}(a+b)= \dfrac{1}{2}(3a+b)[/tex]
-----------------------
theorem 1:
[tex]\ln(x.y)= \ln x + \ln y[/tex]
theorem 2:
[tex]\log_a{x^n} = n \cdot \log_a{x}[/tex]
A farmer has 1,260 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $67,050 for the cost of growing his crops. How many acres of each crop should he plant?
If he has allocated $67,050 for the cost of growing his crops. The number of acres of each crop that should plant is Corn 270, Wheat 540, Soybeans 450.
How to determine the number of acres?Let c = corn
Let w = wheat
Let s = soybeans
C+W+S = 1260
45C + 60W + 50S = 67050
W =2C
Substitute equation 1 into equation 2
C + 2C +S = 1260
3C + S =1260
45C + 120C + 50S =67050
165C +50S =67050
Let eliminate S
165C+ 50(1260-3C) =67050
165C + 63000 - 150C= 67050
15C= 4050
Divide both side by 15c
c =4050/15
c = 270 (corn)
Wheat
W=2C
w = 2(270)
w= 540
S= 1260 - 3C
S= 1260- 3(270)
S =1260 -810
S = 450 (soybeans)
Therefore , 270, 540 and 450 are the acres that should be planted.
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3 cups of cashews for 4 cups of flour how many cups of flour for 2 cups of cashews
The cups of flour required for 2 cups of cashew is 2.6667
How to find the proportion for 2 cups of cashewsThe proportion given in the problem is 3 cups of cashews for 4 cups of flour.
From the given proportion we calculate for the quantity of flours required for 2 cups of cashew
3 cups of cashew = 4 cups of flours
2 cups of cashew = ?
cross multiplying
3 * ? = 4 * 2
? = 4 * 2 / 3
? = 8 / 3
? = 2.6667
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Which graph represents the function f(x) = −lx + 3|?
Gus is buying juice drinks, x, and snack packs, y, for a school picnic. The system of inequalities models how many of each item Gus needs to buy and how much he can spend. Which of the following points represents a viable solution to the system? x + y ≥ 150 1.5x + 3.5y ≤ 600
The viable solutions to the system will be (80, 90)
Gus is buying juice drinks, x, and snack packs, y, for a school picnic
The system of inequalities will be
x + y ≥ 150
1.5x + 3.5y ≤ 600
15x + 35y ≤ 6000
3x + 7y ≤ 1200.......equation 1
x + y ≥ 150....multiplied with 3
3x + 3y ≥ 450...equation 2
3x + 7y - (3x + 3y) = 1200 - 450
3x + 7y - 3x - 3y = 750
4y = 750
y = 750/4
y ≤ 187.5
x + y ≥ 150.
x ≥ 150 - 187.5
x ≥ -37.5
Therefore, the viable solutions to the system will be (80, 90)
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