When we're given f(x) and x, we can evaluate the function by replacing every x with the given value, and simplifying.
Solving the Question[tex]f(x) = 3x^2 + 2x - 20[/tex]
⇒ Replace every x with 3:
[tex]f(3) = 3(3)^2 + 2(3) - 20\\\\f(3) = 3(9) + 6 - 20\\\\f(3) = 27 + 6 - 20\\\\f(3) = 13[/tex]
Answer[tex]f(3) = 13[/tex]
Step-by-step explanation:
A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13.
What is a function?
The function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
A certain kind of relationship called a function binds inputs to essentially one output.
As per the given function,
F(x)=3x²+2x-20
Substitute, x = 3
F(3) = 3(3)^2 + 2(3) - 20
F(3) = 3(9) + 6 - 20
F(3) = 13
Hence "A function is a relationship bound to one output for every single input the value of F(3) for the given function F(x)=3x²+2x-20 is 13".
For more about the function,
30 PTS, SHOW YOUR WORK How much carbon dioxide will you prevent from entering the atmosphere in one year, if you replace a 100-watt light bulb with a CFL bulb that uses 30 watts in a fixture that you have on 8 hours per day? (round to the hundredths place)
(1.37 pounds of CO2 per kWh)
The amount of carbon dioxide will you prevent from entering the atmosphere in one year is 280028 lb
How much carbon dioxide will you prevent from entering the atmosphere in one year?We are given 1.37 pounds of carbon dioxide per kWh
Using a 100-watt light bulb daily for 8 hours, for a year, the amount of carbon dioxide produced will be:
100 × 1.37 × 8 ×365 = 400040 lb
Using a 30-watt CFL bulb for 8hrs/ day for a year, the amount of carbon dioxide produced will be:
30× 1.37 × 8 × 365 = 120012 lb
Therefore, carbon dioxide prevented:
= 400040-120012
= 280028 lb
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A store manager created this table representing the relationship between the reported number of rainy days during a given month, x, and the sales revenue of raincoats, y, rounded to the nearest dollar.
The predicted number of coffee sales, in hundreds of dollars, for an average daily temperature of 32 degrees is of:
63.34.
What is defined by the line of best fit?The definition of the line of best fit in this problem is given as follows:
y = -0.68x + 85.1.
The variables in the context of this problem are defined as follows:
Variable x: average daily temperature.Variable y: predicted number of coffee sales, in hundreds of dollars.Hence, for an average daily temperature of 32 degrees, the estimate of the number of coffee sales is given as follows:
y = -0.68(32) + 85.1 = 63.34 thousand dollars.
Missing InformationThe problem is incomplete and is given by the image at the end of the answer.
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Question 6 of 10
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
A. More than 1 solution
B. x = 4, y = 3
C. No solution
D. x = 3, y = 4
y-2x = -2
y-x = 1
Answer:
D x = 3 y = 4
(3.4)
Step-by-step explanation:
See below
Question
Evaluate the expression when b=9 .
24/b+8 =
The evaluated expression of 24 / b + 8 when b = 9 is [tex]10\frac{2}{3}[/tex]
How to evaluate an expression?In maths, an expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) .
In other words, an expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it
To evaluate an algebraic expression, you have to substitute a number for each variable and perform the arithmetic operations.
Therefore, let's evaluate 24 / b + 8 when b = 9
Hence,
[tex]\frac{24}{9}+8 = \frac{24+ 72}{9}=\frac{96}{9} = 10\frac{6}{9}=10\frac{2}{3}[/tex]
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t/4+5=20 how would you solve this problem
Answer:
t = 60
t/4+5=20
Step 1:
multiply both sides of equation by 4 to separate t from the fraction t/4.
t + 20 = 80
Step 2:
Subtract 20 from both sides of the equation ( you have to put constant values on the same side)
t= 80 - 20
Step 3:
Do the math
80-20=60 so t=60
Step-by-step explanation:
hope this helps! please give brainiest ^^^
5(2x - 1) - 11x
evaluate the above for x = 6
Hence, the solution is [tex]-11[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given that,
[tex]5(2x - 1) - 11x[/tex]
When [tex]x=6[/tex]
[tex]5(2x-1)-11x=5(2(6)-1)-11(6)\\=5(12-1)-66\\=5(11)-66\\=55-66\\=-11[/tex]
Hence, the solution is [tex]-11[/tex].
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The sum of 10 and b, multiplied by 8
A company orders 25 boxed lunches from a deli for $208.75. If each boxed lunch costs the same amount, what is the unit cost of each boxed lunch?
Answer:
8.35
A company orders 25 boxed lunches from a deli for $208.75
What do we need to do to find the unit cost?
Given:
[tex]25\\208.75[/tex]
We need to find the cost.
Therefore, we need to work on the numbers we are given:
If each boxed lunch costs the same amount, then we need to divideWe have to divide the numbers given.$208.75 / 25 = 8.35Therefore, the unit cost is 8.35
Michael went shopping for a new video game because of a sale. The price on the tag was $46, but Michael paid $34.50 before tax. Find the percent discount.
The discount percentage offered on the new video game as of a sale is 75%.
Explain the term discount percentage?When a product is offered at a discount, the seller is reducing the product's price from what it was originally listed for. The percentage discount just on product is determined by the discount amount stated as a percentage of the initial price.For the stated question-
The listed price on the video game = $46.
price paid exclusive of tax = $34.50.
Let 'x' be the percentage discount of the listed price.
Then,
x% of 46 = 34.50
x = 34.50 x 100 / 46
x = 75%
Thus, the discount percentage offered on the new video game as of a sale is 75%.
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julio pays 12.10 for 2.5 pounds of fish. what is the price per pound of fish
Answer:
$4.84 per pound
Step-by-step explanation:
divide 12.10 by 2.5 and you get 4.84, which is the price per pound
Answer:
12.1 × 2.5 = 30.25
Step-by-step explanation:
12.1 × 2.5
12.1 has 1 decimal place
2.5 has 1 decimal place
Therefore, the answer has 2 decimal places
= 30.25
HELP PLSPLSPSL QUICK
Answer:
B. y > 4x + 2
Step-by-step explanation:
The area of the graph above the dotted line is shaded; therefore, this inequality is greater than. The dotted line's slope is 4, hence x is multiplied by 4, and its y-intercept is at 2, hence + 2 on the right side.
Letters are converted into base two numbers for computer processing The capital letters A through Z are assigned 65 through 90, with each number expressed in base two. Thus, the binary code for A (55) is
1000001. Similarly, the lowercase letters a through z are assigned 97 through 122 in base two. Write the binary representation for the following letter
H
Answer: 1001000
Step-by-step explanation:
IF A= 65
H=72
BINARY OF H= 72 = 1001000
I need help, can someone help me
A town has a population of 17000 and grows at 3% every year. What will be the
population after 10 years, to the nearest whole number?
If the population grows 3% every year, then each year's population is 103% of the previous year's population. This gives us the exponential function:
[tex]f(x) = 17000 (1.03)^x[/tex]
17000 for the current population, 1.03 growth factor for the 103%, raised to the x power because we'll need 103% of 103% of 103% and so on until we multiply by 103% for the correct number of years.
[tex]f(10) = 17000(1.03)^{10} \approx 22846.578448850072648[/tex]
Following standard math rounding this would round to 22,847 people.
If you argue that last 0.57844 of a person really round up, you could argue that this is really 22,846 people.
Help finding answer to problem
Supplementary angles are angles that have a sum of 180 degrees. They are formed on a straight line.
Solving the QuestionLooking at the given diagram, we can notice how angle SUV and SUT are supplementary angles. We know this because they form the straight line, VT.
We are given angle SUT, which is 58 degrees.
Because angles SUV and SUT have a sum of 180 degrees, we can solve for angle SUV by subtracting 58 from 180:
180 - 58 = 122
Therefore, angle SUV is 122 degrees.
Answer122 degrees
Answer:
Angle SUV = 180 - 58
= 122° (adjacent angles on a straight line)
How many lines of symmetry does a peace sign have
Answer:
A peace sign has one line of symmetry.
The one line is up and down in the center.
Hope this helps! :D
Step-by-step explanation:
Liam is setting up folding chairs for a meeting. If he arranges the chairs in 7 rows of the same length, he has 5 chairs left over. If he arranges the chairs in 5 rows of that same length, he has 17 left over. How many chairs does Liam have?
Answer: 47
Step-by-step explanation: Let's call the number of chairs Liam has x. We can set up the following equations to represent the problem:
7r = x - 5
5r = x - 17
Where r is the length of each row.
To solve for x, we can set the two equations equal to each other:
7r = x - 5
5r = x - 17
Then we can solve for x by combining like terms and solving for the value of x:
7r - 5r = x - 5 - x + 17
2r = 12
r = 6
We can substitute the value of r back into either of the original equations to solve for x:
7r = x - 5
7 * 6 = x - 5
x = 47
Therefore, Liam has 47 chairs.
Clara and toby are telemarketers. yesterday, Clara reached 6 people in 12 calls, while Toby reached 7 people in 13 phone calls. If they continue at those rates, who will reach more peoples in 40 phone calls? How many more?
Step-by-step explanation:
Firstly we determine how many people clara will reach in 40 phone calls.
6 people=12 calls
X people=40 calls.
make X the subject of the formula.
X=(6×40)÷12=20
So clara will reach 20 people in 40 phone calls.
Now lets determine how many people Toby will reach in 40 phone calls.
7 people=13 calls
Y people=40 calls.
Therefore making Y the subject of the formula we have,
Y=(7×40)÷13=21 people.
So toby will reach more people in 40 calls
List the percent decrease for each of the following A year old $30,000 Subaru selling for $24,500
well, the decrease is really 30000 - 24500 = 5500.
now, if we take the 30000 to be the 100%, what is 5500 off of it in percentage?
[tex]\begin{array}{ccll} a&b\\ \cline{1-2} 30000 & 100\\ 5500& x \end{array} \implies \cfrac{30000}{5500}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 60 }{ 11 } ~~=~~ \cfrac{ 100 }{ x }\implies 60x=1100\implies x=\cfrac{1100}{60}\implies x=\cfrac{55}{3}\implies x=18\frac{1}{3}[/tex]
the sign at the garbage sale said 12 paper back books could be purchased for 8$ how much 3 paper backbooks cost
[tex]\begin{array}{ccll} books&\$\\ \cline{1-2} 12 & 8\\ 3& x \end{array} \implies \cfrac{12}{3}~~=~~\cfrac{8}{x} \\\\\\ 4 ~~=~~ \cfrac{ 8 }{ x }\implies 4x=8\implies x=\cfrac{8}{4}\implies x=2[/tex]
Answer:
2$
Step-by-step explanation:
If 12 paperback books could be purchased for 8$,
We need to divide by 4 on each side to find the answer.
Therefore, 3 paperback books costs 2$.
I would appreciate it if you mark my answer as brainliest.
27. A boy and his sister together weighs 60kg. if the boy is 6.8kg heavier than his sister, calculate his sister's weight. A. 26.6kg 8.23.2kg C. 33.4kg D. 36kg
help uhh don't worry i won't be asking all the time it's just the ones i don't understand
need help assap look at attachment
Answer: See the attachment
Step-by-step explanation: You would use the formula y=mx+b and since b is the y-intercept you would plug that into the equation and then plug in 3/4 as m resulting in
y=3/4x -1 then you just graph it!
Place a point on -1 in the y axis, (0,-1) then go up three units up and four units right, (4,2)
PLEASE HELP ME!!! I WILL GIVE YOU BRAINLIST!!!
Which triangle makes this statement true?
ΔABC ≅ _____
Answer:
A.
Step-by-step explanation:
the symbol means "congruent".
that means that both shapes have the same angles and the custodian same side lengths (even if the shape is turned in sine way, to you can reorient in a way, so that it will cover the other shape 1:1).
the only triangle with the same measurements everywhere is A. triangle EFG.
B and C (RST and XYZ) are similar triangles with ABC. the angles are the same, and all side lengths have the same scaling factor to the other shape.
D (KLM) is nothing at all to ABC.
PLS ASAP
An online bookstore sells hardcover books for a regular price of $17.95 and paperback books for a regular price of $9.95. The paperback books
are on sale for 25% off. The bookstore offers two shipping options:
• free shipping on orders of $59 or more
.
shipping charge of $5.95 on orders less than $59
Isa had planned to buy 2 hardcover and 3 paperback books.
How much more will Isa pay if she buys 2 hardcover and 4 paperback books instead of her original plan? Enter the answer in the box.
The extra amount that the store would have to pay for buying 2 hardcover and 4 paperback books instead of her original plan is $1.51
How to solve for the amount of books boughtThe paper back books have a discount of 25%
hence we what would be paid for in such category would be 1 - 25% charge = 75 %
price of hardcover = 17.95
price of paperback = 9.95 dollars
Isa bought 2 hardcover and 4 paper back
we are to find the cost of these items
2 x 17.95 + (4 x 9.95 x 75%)
= 35.9 + 29.85
= 65.75
We have to find the cost of the initial plan of 2 hardcover and 3 paperback books.
2 x 17.95 + 3 x 9.95 x 0.75
35.9 + 22.3875
= 58.29
This is less than 59 dollars, she would have to pay the shipping fee.
58.29 + $5.95
= 64.23
The extra amount that she has had to pay for going with 2 hardcover and 4 paperback books is:
65.75 - 64.23
= 1.51 dollars
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Its graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6. find the equation showing the steps
The equation of the line with y - intercept (0, 6) is [tex]y = -\frac{3}{2}x + 6[/tex].
What is tangent?
The straight line that "just touches" the curve at a given point is referred to as the tangent line to a plane curve in geometry. It was defined by Leibniz as the path connecting two points on a curve that are infinitely close together.
Given:
Graph is a parabola tangent to the x-axis at (4,0) with y-intercept 6.
That is there are two points (4, 0) and (0, 6).
From these two points we have to find the slope of the line.
[tex]m = \frac{y_2-y_1}{x_2-x_1} = \frac{0-6}{4-0} = -\frac{6}{4} = -\frac{3}{2}[/tex]
Now to use point slope form of the line.
[tex]y-y_1 = m(x-x_1)\\ y - 6 = -\frac{3}{2}(x-0)\\ y - 6 = -\frac{3}{2}x\\ y = -\frac{3}{2}x + 6[/tex]
Hence, the equation of line is, [tex]y = -\frac{3}{2}x + 6[/tex].
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What is the solution of this inequality?
r−6>−11
Drag and drop the choices to correctly complete the inequality.
Plss help me
The solution to the inequality r - 6 > −11 will be r > -5.
How to solve inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in an inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
Based on the information, the solution to the inequality r - 6 > −11 will be solved thus:
r - 6 > −11
Collect the like terms
r > - 11 + 6
r > -5
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NEED HELP!! Consider the following quadratic function.
f(x)= -3x^2 - 30x - 74
Write the equation in form f(x) = a (x - h)^2 +k. Then give the vertex of its graph.
As per the question, the solution to the equation f(x) = a(x-h)2+k is y = 3(x+5)2 -1.
What is an equation?Equations are mathematical expressions with two algebras on either side of an equal (=) sign. The expressions on the left and right are shown to be similar to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a simple fundamental equation.
As per the given values mentioned in the question,
a=3, b=30, c=74.
To fix this issue, employ the Vertex Formula,
(-b/(2a)) , f(-b/(2a))
-b/(2a)
= -(30)/(2 × 3)
h = -5.
f(-b/(2a))
= 3(-5)² + 30(-5) + 74
k = 75 +-150 +74
k = -1.
Vertex, V = (h,k)
V = (-5,-1).
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SOLVE Y
4y + 10 = -10 + 6y
Y =
Answer: The answer is y=10.
Step-by-step explanation:
4y + 10 = -10 + 6y First subtract 4y from both sides.
10 = -10 + 2y Then, add 10 to both sides.
20 = 2y Finally, divide both sides by 2.
y = 10.
The function f(x) is defined as f(x) = One-third(6)x. Which table of values could be used to graph g(x), a reflection of f(x) across the x-axis?
The table of values that could be used to graph g(x), a reflection of f(x) across the x-axis is table (c)
How to determine the table of values?From the question, we have the following equation that can be used in our computation:
f(x) = One-third(6)x
When this statement is represented as an equation, we have the following representation
f(x)= 1/3(6)ˣ
The transformation is given as
A reflection of f(x) across the x-axis
This means that
g(x) = -f(x)
So, we have
g(x) = -1/3(6)ˣ
What this means is that the values of f(x) are negated to get g(x)
The table that represents this is table (c)
Hence, the table of values is table (c)
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Answer: C
Step-by-step explanation:
Supposed you invest 1000 at 9% interest, compound monthly . Find the amount you have after 18 months
The amount you have after 18 months is $ 1143.96 .
what is compound interest?
Interest that is added to a loan or deposit sum is known as compound interest. In our daily lives, it is the notion that is employed the most frequently. Compound interest is calculated for a sum using the principal and interest accrued over time. Compound interest and simple interest differ primarily in this way.
[tex]A=P {(1 +\frac{r}{n})^{nt} }[/tex]
Given:
P = 1000 , r in decimal = 0.09 ,
n = 12 , t = 1.5 ( 18 months = one and a half years).
Substituting the values into the formula:
A = 1000 ( 1 + 0.09/ 12 ) ^[12 ( 1.5 )]
≈ 1000 ( 1.143960 )
= 1143.960
Rounding to the nearest cent, we get $ 1143.96 .
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