The interval notation of x^(2 )-2x-35>0 is (-∞,-5)∪(7,∞).
To solve the quadratic inequality x^(2)-2x-35>0, we first need to find the roots of the quadratic equation x^(2)-2x-35=0. We can do this by factoring the equation:
(x-7)(x+5)=0
The roots of the equation are x=7 and x=-5. Now, we can use these roots to determine the intervals where the inequality is true. We can do this by testing values in each interval:
- For x<-5, let's test x=-6: (-6)^(2)-2(-6)-35=1>0, so the inequality is true in this interval.
- For -57, let's test x=8: (8)^(2)-2(8)-35=29>0, so the inequality is true in this interval.
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Wite the first five terms of the sequence whose general term, a_(n), is given as a_(e)=2n-8.
The first five terms of the sequence whose general term is given as a_(n)=2n-8 are a_1=-6, a_2=-4, a_3=-2, a_4=0, and a_5=2.
To explain this in more detail, the general term for a sequence is given by an equation in the form a_(n)= some expression. In this case, the expression is 2n-8, so it can be read as “2 times the term number minus 8”.
To calculate the first term, we substitute n=1 into the equation and solve, so a_1=2*1-8=-6. To calculate the second term, we substitute n=2 into the equation and solve, so a_2=2*2-8=-4. Continuing in this manner, we calculate the third term as a_3=2*3-8=-2, the fourth term as a_4=2*4-8=0, and the fifth term as a_5=2*5-8=2.
Therefore, the first five terms of the sequence are a_1=-6, a_2=-4, a_3=-2, a_4=0, and a_5=2.
In conclusion, to find the first five terms of a sequence given by a general term a_(n)= some expression, substitute the values n=1, n=2, n=3, n=4, and n=5 into the expression and solve to get the desired terms.
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PLEASE help 55 points it’s math pls explain
The inequality is 3x + 2y ≥ 93 and the grade received is A for the test
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Let the number of multiply questions be x
Let the number of matching questions be y
Substituting the values in the equation , we get
3x + 2y ≥ 93
when x = 20 and y = 18
On simplifying the equation , we get
3 ( 20 ) + 2 ( 18 ) ≥ 93
60 + 36 ≥ 93
96 ≥ 93
Therefore , the student receives an A grade for the test
Hence , the inequality is true
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Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x) = x2 + 3, g(x) = x + 4 f(g(x)) = g(f(x)) =
f(g(x))=x² + 8x +19 ; g(f(x))=x² + 7 are the value of the asked functions
explanation:-
the given functions are: f(x) = x² + 3 and g(x) = x + 4
f(g(x)) = f(x + 4) = (x + 4)² + 3 = x² + 16 + 8x +3 = x² + 8x +19
g(f(x)) = g(x² + 3) = x ²+ 3 + 4 = x² + 7
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what are 3 numbers that equal 18.75 with a range of 1.75 and a median of 6
Answer:
5.5, 6, and 7.25
Step-by-step explanation:
3 numbers equal 18.75 tells us:
a + b + c = 18.75, where a, b, and c are the 3 unknown numbers respectively.
Next, we know that the range is 1.75. Let us consider that c is the greatest value and a is the smallest value. Thus, we can write
c - a = 1.75
Lastly, we know that there is a median of 6. This tells us that the "middle" number (which in this case would be b if c is greatest and a is smallest) should be 6.
b = 6.
Substituting we can write,
a + c + 6 = 18.75
a + c = 12.75
Also,
c - a = 1.75
c = a + 1.75
Substituting back into the other equation we get,
a + ( a + 1.75) = 12.75
2a + 1.75 = 12.75
2a = 11
a = 5.5
Now, we can find the last number.
c = (5.5) + 1.75
c = 7.25
Plug all 3 numbers back into the original equation to verify if our numbers are correct:
5.5 + 6 + 7.25 = 18.75
Thus, we know we are correct.
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Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would tske her to eat 35 hot dogs if she can keep up the same pace. How many minutes would Mika need to eat 35 hot dogs?
We can use a proportion to solve the problem:
Let x be the number of minutes it would take Mika to eat 35 hot dogs
Then we can set up the proportion:
21 hot dogs / 6 minutes = 35 hot dogs / x minutes
To solve for x, we can cross-multiply:
21 hot dogs * x minutes = 6 minutes * 35 hot dogs
21x = 210
x = 10
Therefore, it would take Mika 10 minutes to eat 35 hot dogs if she can keep up the same pace.
Richard’s Supplies sold 100 calculators in the month of August. Joseph’s Deals sold 30 calculators in the first week of October. A business consultant concluded that Richard's Supplies sells more calculators than Joseph's Deals. Explain why the statistic is misleading
The statistic that "Richard's Supplies sells more calculators than Joseph's Deals" based solely on the information given is misleading because it compares the total sales of one business for an entire month with the sales of another business for only one week.
What should be the most acceptable way to make the sales comparison in statistic?It's possible that Joseph's Deals could sell more calculators than Richard's Supplies in a given week or even in the entire month of October, despite the fact that they only sold 30 calculators in the first week but we don't have enough information to compare the sales of these two businesses accurately.
In addition, we don't know if Richard's Supplies and Joseph's Deals are similar businesses with similar customer bases, pricing strategies, and marketing efforts. These factors could also affect their respective sales numbers.
In conclusion, to draw a meaningful comparison between the sales of these two businesses, we would need to gather more data about their sales over a longer period of time and under similar conditions.
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Benjamin's math teacher finds that there's roughly a linear relationship between the amount of time students spend on their homework and their weekly quiz scores. This relationship can be represented by the equation y=8x+57 where y represents the expected quiz score and x represents hours spent on homework that week. What is the meaning of the x-value when y = 98?
When the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.
What is the linear equation in two variables?
A linear equation in two variables is an equation of the form:
ax + by = c
where x and y are variables, a, b, and c are constants, and a and b are not both zero. The graph of a linear equation in two variables is a straight line, and any point on the line satisfies the equation.
The given equation is:
y = 8x + 57
where y is the quiz score and x is the hours spent on homework.
To find the meaning of the x-value when y = 98, we can substitute y = 98 into the equation and solve for x:
98 = 8x + 57
Subtracting 57 from both sides, we get:
41 = 8x
Dividing both sides by 8, we get:
x = 5.125
when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours. This suggests that students who spend around 5 hours and 7.5 minutes on homework per week can expect to score around 98 on their weekly quiz.
Therefore, when the quiz score is expected to be 98, the corresponding x-value, which represents the number of hours spent on homework, is approximately 5.125 hours.
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I need help on number 14 please please
Given - two tangent lines are drawn from the point B
To find - the value of BC
Explanation - when tangent lines are drawn for outside of the circle then the length of line formed is equal
We get
AB=BC
[tex]x+3 =3x-1\\x-3x=-1-3\\-2x=-4\\x=2[/tex]
BC= [tex]3x-1 =3(2)-1=6-1=5[/tex]
The length of BC = 5
Final answer - The option A is correct, the length is 5
x + sin x, if x < 0
F(x) = { 2, if x=0
2/(1+x^2), if x > 0
a) Determine if f is continous from the left at x =0
b) Determine if f is continous from the right at x =0
c) Determine if f is continous at f = 0
"f " is continuous at x = 0.
a) To determine if f is continuous from the left at x = 0, we need to evaluate the limit of f(x) as x approaches 0 from the left. This means we need to use the first piece of the function, x + sin x, since this is the piece that applies when x < 0:
lim(x->0-) f(x) = lim(x->0-) (x + sin x) = 0 + sin 0 = 0
Since the limit exists and is equal to the value of the function at x = 0 (which is 2), f is continuous from the left at x = 0.
b) To determine if f is continuous from the right at x = 0, we need to evaluate the limit of f(x) as x approaches 0 from the right. This means we need to use the third piece of the function, 2/(1+x^2), since this is the piece that applies when x > 0:
lim(x->0+) f(x) = lim(x->0+) (2/(1+x^2)) = 2/(1+0^2) = 2
Since the limit exists and is equal to the value of the function at x = 0 (which is 2), f is continuous from the right at x = 0.
c) To determine if f is continuous at x = 0, we need to make sure that the limits from the left and right both exist and are equal to each other and to the value of the function at x = 0. We already found that the limits from the left and right are both equal to 2, which is also the value of the function at x = 0. Therefore, f is continuous at x = 0.
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Match the term to the definition. market price The quantity of a good or service that businesses are willing and able to provide consumer A person who buys and uses goods and services demand Individuals and organizations that determine what products and services will be available for sale supply The quantity of a good or service that consumers are willing and able to buy producers The point where supply and demand are equal
Market Price: The point where supply and demand are equal.
What is Market Price?Market price is the current price of a good or service that is determined by the interactions of buyers and sellers in a competitive market. It is the result of the forces of supply and demand and is determined by the number of buyers and sellers in the market and their respective levels of demand and supply. Market prices are affected by both external and internal market forces such as government policies, taxation, economic conditions, and availability of resources.
Demand: The quantity of a good or service that consumers are willing and able to buy
Supply: The quantity of a good or service that businesses are willing and able to provide
Producers: Individuals and organizations that determine what products and services will be available for sale
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In an upper tail test about the population mean, where the population standard deviation is known, a sample of size 30 was taken. Use 5% significance. Find the critical value(s).
Select one:
a. Both -1.96 and 1.96
b. Only 1.699
c. Only -1.699
d. Only -1.645
e. Both -2.045 and 2.045
f. Only 1.645
In an upper tail test about the population mean, where the population standard deviation is known, a sample of size 30 was taken. Use 5% significance the critical value is 1.645. The correct answer is option f. Only 1.645.
In an upper tail test about the population mean, where the population standard deviation is known, we need to find the critical value(s) for a 5% significance level.
To find the critical value(s), we need to use the z-table. The z-table shows the probability of a z-score being less than or equal to a certain value.
Since this is an upper tail test, we need to find the z-score that corresponds to a probability of 0.95 (1 - 0.05).
Looking at the z-table, we can see that the z-score that corresponds to a probability of 0.95 is 1.645.
Therefore, the critical value for this upper tail test is 1.645. The correct answer is f. Only 1.645
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Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).
The area of the shaded region is 7πcm²
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a figure is the number of unit squares that cover the surface of a closed figure. Area is measured in square units like cm² and m².
The area of a circle is expressed as πr²
area of the unshaded parts = 2× πr²
=2 (π × 1²)
= 2π cm²
area of the big circle = πr²
= π × 3²
= 9πcm²
area of the shaded part = 9π -2π
= 7π cm²
therefore the area of the shaded part is 7πcm²
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PLEASE HELP I WILL GIVE 30 points
Answer:
Your answer is Point T
Step-by-step explanation:
Answer:
s
Step-by-step explanation:
For the function f(x)=(x-2)^(2)-4, identify the parent function and the transformation (s) done.
For the function f(x)=(x-2)^(2)-4, the transformation(s) done to the parent function are a horizontal shift to the right by 2 units and a vertical shift downward by 4 units.
The parent function of the function f(x)=(x-2)^(2)-4 is the quadratic function f(x)=x^(2).
The transformation(s) done to the parent function are a horizontal shift to the right by 2 units and a vertical shift downward by 4 units.
This can be seen by comparing the given function to the parent function. The (x-2) in the given function indicates the horizontal shift to the right, and the -4 at the end of the function indicates the vertical shift downward.
Therefore, the transformation(s) done to the parent function are a horizontal shift to the right by 2 units and a vertical shift downward by 4 units.
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Jian made some designs using equilateral triangles, as shown below. He noticed that as he added new triangles, there was a
relationship between n, the number of triangles, and p, the outer perimeter of the design. The table below lists the outer
perimeters for the designs shown.
Number of 1 2 3 4
triangles
Outer
Perimeter
3 4 5 6
n
A
Р
Write a rule for finding p, the outer perimeter for a design that uses n triangles.
The perimeter is the tοtal length οf a shape's bοundary, and the rule fοr finding the οuter perimeter οf Jian's equilateral triangle designs is p = n + 1.
What is a perimeter?The perimeter οf a twο-dimensiοnal shape is the tοtal length οf its bοundary, which is the sum οf the lengths οf all its sides. It is typically measured in units such as centimeters, inches, οr meters.
Fοr example, the perimeter οf a square with side length s is 4s, since it has fοur sides οf equal length. The perimeter οf a rectangle with length l and width w is 2l + 2w, since it has twο pairs οf sides οf different lengths.
Nοw, let's cοnsider the relatiοnship between the number οf triangles and the οuter perimeter οf Jian's design. Frοm the table, we can see that the οuter perimeter increases by 1 as the number οf triangles increases by 1. Specifically, the οuter perimeter is always 1 mοre than the number οf triangles used in the design.
Therefοre, we can write the rule fοr finding the οuter perimeter p in terms οf the number οf triangles n as:
p = n + 1
This rule tells us that if we knοw the number οf triangles used in a design, we can find the οuter perimeter by adding 1 tο that number.
Hence, The perimeter is the tοtal length οf a shape's bοundary, and the rule fοr finding the οuter perimeter οf Jian's equilateral triangle designs is p = n + 1.
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Daily production in a sample of 30 carpet looms is recorded as follows – Class Frequency
15.2 – 15.4 2
15.5 – 15.7 5
15.8 – 16.0 11
16.1 – 16.3 6
16.4 – 16.6 3
16.7 – 16.9 3
Construct a histogram and cumulative frequency distribution (CFD) on the above data. Make comments on the distribution of the above data
The CFD shows that 17 observations (56.7%) fall between 15.8 and 16.0.
A histogram is a graph that displays the frequency of data in a given range. The cumulative frequency distribution (CFD) is a graph that displays the cumulative total of frequencies. The histogram and CFD of the given data are shown below:
The data shows a skewed distribution with most of the observations falling between 15.8 and 16.0. The data is highest at 16.0, with 11 observations falling in this range.
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Please help me solve
The area of the hexagon is given by A = 585 units²
What is the area of a hexagon?Six equilateral triangles make create a regular hexagon, which has six congruent sides and angles. The following is the formula to get the area of a regular hexagon.
Area of a hexagon A = 3 (√3)/ 2 ) a²
where, a represent the length of a side of the regular hexagon
Given data ,
Let the area of the hexagon be represented as A
Now , the value of A is
Let the side length of the hexagon be a = 15
Now , area of a hexagon A = 3 (√3)/ 2 ) a²
On simplifying , we get
The area of hexagon A = 3 (√3)/ 2 ) ( 15 )²
The area of hexagon A = 584.56715 units²
The area of hexagon A = 585 units²
Therefore , the value of A is 585 units²
Hence , the area of the hexagon is A = 585 units²
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Solve the equation. Check your solution.
11+ 3q = 12 + 2q
q=_
11+ 3q = 12 + 2q
subtract 11 from both sides
3q = 1 + 2q
subtract 2q from both sides
q = 1
what 5x10 = to
60x 10
30x1
1x1
2x2
what 5x10 = 50
60x 10 =600
30x1 =30
1x1=1
2x2=4
Answer:
Step-by-step explanation: shyweydehdeecebccecjeejddijde shut the f
Solve the proportion.
$\frac{x}{4}=\frac{2}{5}$
$
The value of x from the proportion is x = 1.6
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion equation be represented as A
Now , the value of A is
( x / 4 ) = ( 2 / 5 )
On simplifying , we get
Multiply by 4 on both sides , we get
x = ( 2 * 4 ) / 5
x = 8/5
On further simplification , we get
x = 1.6
Therefore , the value of x is 1.6
Hence , the proportion is x = 1.6
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Question is in the picture above
The values of the variables in the kite are:
x = 50°
y = 58°
z = 32°
How to find the values of the variables in the kite?Since a kite is symmetrical. Thus, it has two opposite and equal angles
Also, the line of symmetry divides the kite angle into equal angles and similar triangles. We have:
In ΔABO:
x + 90° + 40° = 180° (angle sum in a triangle)
x + 130 = 180
x = 180 - 130
x = 50°
In ΔBCO:
y + 90° + 32° = 180° (angle sum in a triangle)
y = 180 - 122
y = 58°
In ΔCDO:
z = 32° (congruent triangles)
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QUESTION 2.
Consumer Reports did a study of ice cram bars (only vanilla flavored) in their 2001 report. Eleven bars having taste-test ra)ng of at least "fair" were listed, and calories per bar was included. Calories vary quite a bit partly because bars are not of uniform size.
439 111 201 182 197 209 147 190 151 131 151
i) Find range of the data,
ii) Find the 1st quar)le, median and 3rd, quar)le. iii) Find the IQR
iv) Draw the box plot.
iv) Are there any outliers in the data?
The range of the data is 328. The 1st quartile, median and 3rd quartile is 147, 182, and 197, respectively. The IQR is 50. There is only one outlier in the data, which is 439.
i) The range of the data is the difference between the highest and lowest values. In this case, the range is 439 - 111 = 328.
ii) The 1st quartile is the 25th percentile of the data, the median is the 50th percentile, and the 3rd quartile is the 75th percentile. To find these values, we need to first sort the data in ascending order:
111, 131, 147, 151, 151, 182, 190, 197, 201, 209, 439
Then we can find the quartiles:
1st quartile = 147
Median = 182
3rd quartile = 197
iii) The interquartile range (IQR) is the difference between the 3rd and 1st quartiles. In this case, the IQR is 197 - 147 = 50.
v) Outliers are values that are more than 1.5 times the IQR above the 3rd quartile or below the 1st quartile. In this case, the upper bound for outliers is 197 + (1.5 * 50) = 272.5 and the lower bound is 147 - (1.5 * 50) = 71.5. The only value that falls outside of these bounds is 439, so there is one outlier in the data.
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100 POINTS!! HELP!! MATH!!
Arrange in order from least to greatest (Radicals)
a. 4√3
b. 3√5
c. 5√2
d. 2√10
e. 2√13
f. 3√6
A plus advertising charges a fee of $24 plus $0. 10 per flyefr to print and delever flyers. Print and more charges $0. 25 per flyer. For how many flyers is the cost at a-plus advertising less than the cost of print andff more
The cost of A Plus Advertising will be less than the cost of Print and More if the number of flyers to be printed and delivered is greater than 160.
Let's assume that the number of flyers to be printed and delivered is "x".
The cost of A Plus Advertising can be represented as:
Cost_A = 0.10x + 24
The cost of Print and More can be represented as:
Cost_P = 0.25x
To find out for how many flyers the cost of A Plus Advertising is less than the cost of Print and More, we need to set up an inequality:
Cost_A < Cost_P
0.10x + 24 < 0.25x
Subtracting 0.10x from both sides, we get:
24 < 0.15x
Dividing both sides by 0.15, we get:
160 < x
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"twice the difference of some number and 8 amounts to the quotient of 112 and 14 " written as an equation is
The solution to the equation is x = 12.
The equation for "twice the difference of some number and 8 amounts to the quotient of 112 and 14" can be written as:
2(x - 8) = 112/14
Where x is the unknown number.
First, simplify the right side of the equation by dividing 112 by 14 to get:
2(x - 8) = 8
Next, distribute the 2 on the left side of the equation:
2x - 16 = 8
Finally, solve for x by isolating the variable on one side of the equation:
2x = 8 + 16
2x = 24
x = 24/2
x = 12
Therefore, the solution to the equation is x = 12.
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Solve everything in this page please
Answer:
19. Angelique=0.3, Jamila=0.1 20.15.2
Step-by-step explanation:
19 Angelique=0.3
Jamila=0.1
20.
[tex]x^{2} =8.7^{2}+12.5^{2} \\x^{2} =231.94\\x=15.229...\\x=15.2[/tex]
A model a rocket is used to test materials that will be used to build the body
of the actual rocket. What is a limitation of this model?
OA. It can be used to predict how the materials might be affected by a
rocket launch.
OB. It is less expensive than the actual rocket.
C. It uses the materials that will be used on the actual rocket.
OD. It is smaller than the actual rocket.
If a model a rocket is used to test materials that will be used to build the body of the actual rocket. The limitation of this model is: D. It is smaller than the actual rocket.
What is a limitation of this model?A model rocket is a scaled-down version of an actual rocket, which means it is smaller than the actual rocket. While a model rocket can be used to test materials that will be used to build the body of the actual rocket, there are limitations to using a model rocket for this purpose.
One of the main limitations is that the smaller size of the model rocket may not accurately represent the effects of a full-scale rocket launch on the materials.
In addition, there may be other differences between the model rocket and the actual rocket, such as the types of engines used, the payload carried, and the environmental conditions during the launch, which can also limit the applicability of the results obtained from testing the materials on the model rocket to the actual rocket.
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Compute A² – 2A + I. A= | 1 0 -1| . | 0 -4 0| . |2 0 2| NOTE: Write the elements of the matriz exactly. A2 - 2A +I=
The elements of the matrix are: A² – 2A + I = | 0 0 -1 | | 0 25 0 | | 2 0 -1 |. To compute A² – 2A + I, we need to first find A², then multiply A by 2, and finally add the identity matrix I to the result.
The identity matrix I is a matrix with 1s on the main diagonal and 0s elsewhere.
A² = A * A = | 1 0 -1| * | 1 0 -1| = | 1*1+0*0+(-1)*2 1*0+0*(-4)+(-1)*0 1*(-1)+0*0+(-1)*2 |
| 0 -4 0| | 0 -4 0| | 0*1+(-4)*0+0*2 0*0+(-4)*(-4)+0*0 0*(-1)+(-4)*0+0*2 |
| 2 0 2| | 2 0 2| | 2*1+0*0+2*2 2*0+0*(-4)+2*0 2*(-1)+0*0+2*2 |
= | 1 0 -3 |
| 0 16 0 |
| 6 0 2 |
2A = 2 * | 1 0 -1| = | 2 0 -2|
| 0 -4 0| | 0 -8 0|
| 2 0 2| | 4 0 4|
I = | 1 0 0 |
| 0 1 0 |
| 0 0 1 |
A² – 2A + I = | 1 0 -3 | - | 2 0 -2 | + | 1 0 0 | = | 1-2+1 0-0+0 -3-(-2)+0 |
| 0 16 0 | | 0 -8 0 | | 0 1 0 | | 0-0+0 16-(-8)+1 0-0+0 |
| 6 0 2 | | 4 0 4 | | 0 0 1 | | 6-4+0 0-0+0 2-4+1 |
= | 0 0 -1 |
| 0 25 0 |
| 2 0 -1 |
Therefore, A² – 2A + I = | 0 0 -1 |
| 0 25 0 |
| 2 0 -1 |
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Jamie works twice as many hours on the weekend as he does during the week. He earns $7.75 per hour. This week, he wants to earn at least 279 dollars. Will Jamie meet his goal by working 10 hours during the week? Show your work.
Using algebra, we can conclude that, if Jamie only works 10 hours during the week, he will not be able to meet his goal of earning at least $279, because the total pay he will earn, which is $232.50, is less than the amount he wants to earn.
How to Use Algebra to Solve Problems?The method to use to solve this problem would be algebra. We will use variables to represent the number of hours that Jamie works during the week and on the weekend, and we used equations to express the relationship between the total pay Jamie earns and the number of hours he works.
Let's first find out how many hours Jamie works during the week and on the weekend.
Let's say Jamie works x hours during the week. Then, he works 2x hours on the weekend.
The total amount of money Jamie earns is given by:
Total pay = Pay for week hours + Pay for weekend hours
Pay for week hours = $7.75 per hour * x hours
Pay for weekend hours = $7.75 per hour * 2x hours = $15.50 per hour * x hours
Total pay = $7.75x + $15.50x = $23.25x
Now let's substitute x = 10, since Jamie wants to work 10 hours during the week, to see if he can meet his goal of earning at least $279:
Total pay = $23.25 * 10 = $232.50
Since $232.50 is less than $279, Jamie will not meet his goal by working 10 hours during the week alone. He will need to work more hours during the week and/or on the weekend to reach his goal.
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f(2)=5_(2^(2))+3_(2+1)
Given this function, what is the output
The value of Function f(x) = 5x²+ 3x + 1 at x=2 is 27.
What is Function?A function is an expression, rule, or law in mathematics that describes a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are common in mathematics and are required for the formulation of physical relationships in the sciences.
Given:
We have the Function as
f(x) = 5x²+ 3x + 1
Now, we have to find value of function at x= 2 so
f(x) = 5x²+ 3x + 1
f(2) = 5(2)²+ 3(2) + 1
f(2) = 5(4)+ 6 + 1
f(2) = 20 + 7
f(2)= 27
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