F(4)=9 is the value for this function.
What is piecewise function?A function that is defined by numerous smaller functions across various time intervals is known as a piecewise function. The domain of a function is the sum of all the smaller domains, and each sub-function has its own formula and domain. The input value and the function that establishes that interval determine the function's output.
The typical functional notation, which represents the body of a function as an array of functions and related subdomains, can be used to define piecewise functions. Together, these subdomains must encompass the entire domain; frequently, it is also necessary for them to be pairwise disjoint, or constitute a partition of the domain.
x=4 is bigger than or equal to 0 because it.
we use the third function definition
F(x)=x+5.
Therefore, F(4)=4+5=9.
To know more about function visit:
brainly.com/question/12431044
#SPJ1
Which of the following would represent the first step in simplifying the problem 7 + 5/6 - 2) = 2. 1216 - 2) - 2 07+30-2-2 07-516-1 07+ 5/4) - 2
Answer:its 7+5(4) divided by 2
Step-by-step explanation:
because of order of operations
you need to use PEMDAS
It costs $145 for 10 people to attend a concert. How much does it cost a group of 8 people?
Answer:
It would cost $116 for a group of 8 people.
Step-by-step explanation:
You would divide 145/10 to find the cost for 1 group (which would be $14.5). Then, you would multiply 14.5x8 to get your answer of $116.
Answer:
$116
Step-by-step explanation:
1. First, let's find how much it costs for 1 person to attend a concert by dividing 145 by 10.
\(\frac{145}{10}\) \(14.5\)2. Next, let's multiply 14.5 by 8.
\(14.5 * 8\) \(116\)Therefore, it costs a group of 8 people $116 to attend a concert.
Please help me thanks so much
Answer:
1.335
Step-by-step explanation:
Drag each label to the correct location on the table. Each label can be used more than once, but not all labels will be used.
Complete the table by classifying the polynomials by degree and number of terms.
quadratic
constant
exponential
Polynominal
(picture)
The names of the expressions are;
1) Monomial, quadratic
2) Monomial, constant
3) Binomial, Linear
4) Trinomial, quadratic
What are polynomials and trinomials?
An algebraic expression that has one or more terms, each of which is a variable raised to a non-negative integer exponent and multiplied by a coefficient, is referred to as a polynomial. The terms are mixed by adding or removing. A polynomial may include 0 terms or more.
A particular kind of polynomial known as a trinomial has exactly three terms. Trinomials are made up of three different pieces, which are frequently denoted by the formula "ax2 + bx + c," where "a," "b," and "c" are coefficients.
Learn more about polynomials:https://brainly.com/question/11536910
#SPJ1
Tanya is given the graphs of the following functions. The functions Latex: f(x) f ( x ) and Latex: g(x) g ( x ) are linear, and the function Latex: s(x) s ( x ) is quadratic. f ( x ) = 3 x − 8 g ( x ) = − 2 x + 5 s ( x ) = 4 x 2 − 9 x + 2 Tanya is then asked to find the graph of Latex: (f\cdot g)(x) ( f ⋅ g ) ( x ) and the graph of Latex: (g\cdot s)(x)\textsf{.} For each combined function, she is given four options to choose from. What clues will help Tanya identify the correct graph of Latex: (f\cdot g)(x)\textsf{?} What clues will help Tanya identify the correct graph of Latex: (g\cdot s)(x)\textsf{?}
The functions (f.g)(x) and (g.s)(x) are illustrations of composite function
The values of the composite functions are:
(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10
How to determine the equation of the composite functionThe equation of the functions are given as:
f(x) = 3x - 8
g(x) = -2x + 5
s(x) = 4x^2 - 9x + 2
.
The composite functions are calculated using:
(fg)(x) = f(x) * g(x)
So, we have:
(f g)(x) = (3x - 8) * (-2x + 5)
Evaluate the product
(fg)(x) = -6x^2 + 15x + 16x - 40
Evaluate the like terms
(fg)(x) = -6x^2 + 31x - 40
Also, we have:
(gs)(x) = g(x) * s(x)
So, we have:
(gs)(x) = (-2x + 5) * (4x^2 - 9x + 2)
Expand
(gs)(x) = -8x^3 + 18x^2 -4x + 20x^2 - 45x + 10
Collect like terms
(gs)(x) = -8x^3 + 18x^2 + 20x^2-4x - 45x + 10
Evaluate the like terms
(gs)(x) = -8x^3 + 38x^2 -49x+ 10
Hence, the values of the composite functions are:
(fg)(x) = -6x^2 + 31x - 40 and (gs)(x) = -8x^3 + 38x^2 -49x+ 10
Read more about composite functions at:
https://brainly.com/question/10687170
100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
The values of the trigonometry functions are sin(θ) = 3/√13, cos(θ) = 2/√13, tan(θ) = 3/2, csc(θ) = √13/3, sec(θ) = √13/2 and cot(θ) = 2/3
Finding the values of the trigonometry functionsfrom the question, we have the following parameters that can be used in our computation:
The right triangle
The hypotenuse of the right triangle is calculated as
h² = 2² + 3²
When evaluated, we have
h = √13
The values of the trigonometry functions are then evaluated as
sin(θ) = 3/√13
cos(θ) = 2/√13
tan(θ) = 3/2
csc(θ) = √13/3
sec(θ) = √13/2
cot(θ) = 2/3
Read more about trigonometry functions at
https://brainly.com/question/24349828
#SPJ1
Can you help please on this
Answer:
5
Step-by-step explanation:
A 90° rotation about the origin maps APQR to ALMN. Are the
triangles congruent?
Answer:
No
Step-by-step explanation:
it is in the clipped picture
\(plsss \: answer \: my \: question\)
1. What is the sum of (-6) & (-9)?
-6 + (-9) = -6 - 9 = -15
D. -15 is your answer.
2. What is the result when (-12) is subtracted from (-8)?
-8 - (-12)
Note that when there are two negative signs directly next to each other, it becomes a positive:
-8 - (-12) =
-8 + 12 =
12 - 8 = 4
B. 4 is your answer.
3. What is the sum of two positive numbers?
Two positive numbers will give you a positive answer.
A. Positive.
4. What is the difference when -19 is subtracted by 5?
-19 - (5) = -19 + (-5) = -24
D. -24
5. To add two numbers having the same sign, find the sum of their absolute values and copy the common sign.
6. What is the result when the difference of (-9) and 4 is subtracted from the sum of (-5) and (-3)?
(-5 + (-3))- (-9 - 4)
(-8) - (-13)
-8 + 13 = 5
B. 5
7. What is the quotient of 180 and (-30)?
Divide 180 with -30:
180/-30 = -6
C. -6
8. What is the product of (-9) and 7?
Multiply -9 with 7:
-9 * 7 = -63
-63 is your answer.
9. For what value of the variable n will the statement (-612)/36 = n be true?
Divide:
(-612)/36 = -17
C. -17 is your answer.
~
Note:
If you are adding two positive numbers, your answer will be positive.
If you are adding two negative numbers, your answer will be negative.
If you are adding one positive number and one negative number, your answer will have the sign of whichever term is greater.
If you are subtracting two positive numbers, and your first term is greater then the second term, your answer will be positive.
If you are subtracting two positive numbers, and your first term is less then the second term, your answer will be negative.
If you are subtracting one negative term in front, and one positive term in the back, whichever term has the greater numerical number would have their sign carried over.
If you are subtracting one positive term in front, and one negative term in the back, the negative term's negative will cancel, which would result in a positive. Then you will add.
If you are multiplying two positive numbers, your answer will be positive.
If you are multiplying two negative numbers, your answer will be positive.
If you are multiplying one negative and one positive number, your answer will be negative.
If you are dividing two positive numbers, your answer will be positive.
If you are dividing two negative numbers, your answer will be positive.
If you are dividing one negative and one positive number, your answer will be negative.
based on the graph how many tiles are im figure 0
For figure {0}, the number of tiles will be equal to 2.
What is a mathematical function, equation and expression?Function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function
Expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators
Equation : A mathematical equation is used to equate two expressions.
Given is a graph as shown in the image.
The line passes through point -
(3, 8) and (4, 10)
So, the slope of the line will be -
m = (10 - 8)/(4 - 3)
m = 2
y = 2x + c
For the point (3, 8), we can write -
8 = 6 + c
c = 2
For figure {0}, the number of tiles will be equal to 2.
Therefore, for figure {0}, the number of tiles will be equal to 2.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ1
1 is subtracted from 8 times a certain number.the result is 15.find the number
Answer:
number is 2
Step-by-step explanation:
let the number be n then 8 times the number is 8n, subtract 1 from this and
8n - 1 = 15 ( add 1 to both sides )
8n = 16 ( divide both sides by 8 )
n = 2
that is the number is 2
Please Help!!! Cannot figure out how to answer this.
Answer:
10
Step-by-step explanation:
Given the limits of the functions f(x) and g(x) as x approaches -2, you want the limit of their product at that point.
LimitsThe limit of a product is the product of the limits:
\(\displaystyle \lim_{x\to -2}(f(x)\cdot g(x))=(\lim_{x\to -2}f(x))\cdot(\lim_{x\to-2}g(x))=5\cdot2=\boxed{10}\)
What is 23.58 in word form
here is the screenshot for anyone who is willing to help me
Answer:
1. 6,000
2. 7,000-4,000=3,000
3. 0
4. 15
5, 6/8 7/8
6. greater than
7. equal to
8. 520,685
9. the 5
10a. 3210
10b. 2346
--------------------
1. 7,000
2. all of them
3. two
4. 3
5. 2
6. b
7a. 3 b. 2
8. 14/30
9. 3/8
10. N=175
Step-by-step explanation:
What is the value of y?
3
4
5
6
Answer: actually its 4
Step-by-step explanation:
How do i work out what 6/7 of 77 is?
Answer:
First of all "of " means multiplication
To calculate 6/7 of 77 multiply 6/7 by 77
That is
6/7 × 77
= 6 × 11 = 66
Hope this helps you
Answer:
66
Step-by-step explanation:
6/7 × 77
Multiply.
462/7
Divide.
= 66
3 1/3 divided by 1 1/5
Answer:
25/9
Step-by-step explanation:
3 1/3 ÷ 1 1/5
3 1/3 = 10/3
1 1/5 = 6/5
10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9
So, the answer is 25/9
Isabella decides to sell handmade stationery. She decides to sell 2 cards for $9. Which table below show the possible values of c, the number of cards Isabella sells, and d, the number of dollars she charges?
Answer:
G.
Step-by-step explanation:
cards = 2
dollars = 9
to check that the number of cards with the correct amount d;
use the ratio and proportion.
(3 x 18)/9 = 4
(4 x 31.5)/18 = 7
(7 x 45)/31.5 = 10
therefore, option G. table G. is the correct answer
try doing the ratio and proportion on the other table and the number of cards DO NOT match with the amount. (see attached)
To start dividing 126 by 23, Miranda used the estimate 120÷20 = 6. How could you tell six is too high?
Answer:
the product of 6 and 23 is more than 126
Step-by-step explanation:
You want to know how to tell that 6 is too high an estimate for the first digit of the quotient of 126 and 23.
Trial dividendWhen the trial quotient value of 6 is multiplied by the actual divisor of 23, we are computing 6(20 +3) = 120 +18. This is more than 126, so the trial quotient value is too large.
__
Additional comment
Another way to tell is to consider the dual problem that 120/20 = 6 represents: 120/6 = 20. It is easy to see that 126/6 = 21, so we know that a divisor of 23 (larger than 21) will give a quotient less than 6.
…name three points that are collinear
Answer:
D. Points D, C and AStep-by-step explanation:
Points D, C and A are collinear as DC, CA and DA have same slope of 1/3.
Please I need some help hereeeeeeeeee
A student bought a calculator and a textbook for a course in algebra. He told his friend that the total cost was $130(without tax) and that the calculator cost $30 more than thrice the cost of the textbook. What was the cost of eachitem? Let x = the cost of a calculator and y = the cost of the textbook. The corresponding modeling system isS x + y = 130Solve the system by using the method of substitution.x = 3y + 30
Gievn equations are,
\(\begin{gathered} x+y=130\ldots(1) \\ x=3y+30\ldots(2) \end{gathered}\)To solve the equation using subsitution method,
Substitute, equation (2) in (1)
\(\begin{gathered} 3y+30+y=130 \\ 4y+30=130 \\ 4y=130-30 \\ 4y=100 \\ y=\frac{100}{4} \\ y=25 \end{gathered}\)put y =25 in equation (2)
\(\begin{gathered} x=3\cdot\: 25+30 \\ x=75+30 \\ x=105 \end{gathered}\)the solution to the given system of equation are,
\((x,y)=(105,25)\)Solve to find the area:
Answer:
16cm^2
Step-by-step explanation:
well if you multiply 4 x 8 to find the area it would be 32 but it is a triangle so divide 32 by 2 to get 16
Answer:
16 cm²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Triangle: A = 1/2bhStep-by-step explanation:
Step 1: Define
Base b = 8 cm
Height h = 4 cm
Step 2: Find A
Substitute [Area]: A = 1/2(8 cm)(4 cm)Multiply: A = (4 cm)(4 cm)Multiply: A = 16 cm²Please help me with this question
:)
Answer:
-9
Step-by-step explanation:
-3 l 3(-3) + 6 l
-3 l (-9) + 6 l
-3 l -3 l
-3 (3) = -9
What is the probability that a respondent chosen at random is a male or a female?
Answer:
%50
Step-by-step explanation:
%50 male - %50 female
I NEED THIS ASAP please. can someone please answer this question i put the picture its on Simplify Expressions im giving 15 points I will give bar i will give brainlist
Answer:
in step 4
Step-by-step explanation:
we have
\(0.5(-12c+6)-3(c+4)+10(c-5)\\\\step1=-12c(0.5)+6(0.5)-3(c+4)+10(c-5)\\\\=-6c+3-3(c+4)+10(c-5)\\\\\)
so step 1 is correct
step 2
\(-6c+3-3(c+4)+10(c-5)\\\\=-6c+3+c(-3)+4(-3)+10(c-5)\\\\=-6c+3-3c-12+10(c-5)\)
so step 2 is correct
step 3
\(-6c+3-3c-12+10(c-5)\\\\=-6c+3-3c-12+c(10)-5(10)\\\\=-6c+3-3c-12+10c-50\)
so step 3 is correct
step 4
\(-6c+3-3c-12+10c-50\\\\=(-6c-3c+10c)+(3-12-50)\\\\=(-6-3+10)c+(-9-50)\\\\=(-9+10)c-59\\\\=c-59\)
so step 4 is incorrect
To purchase $14,500 worth of restaurant equipment for her business, Debra made a down payment of $1300 and took out a business loan for the rest. After 2 years of paying monthly payments of $585.04, she finally paid off the loan.
(a) What was the total amount Debra ended up paying for the equipment (including the down payment and monthly payments)?
(b) How much interest did Debra pay on the loan?
The total amount Debra ended up paying for the equipment was $28,541.60 and the amount of interest Debra paid on the loan was $14,041.60
(a) To find the total amount Debra ended up paying for the equipment (including the down payment and monthly payments), we need to add the down payment to the total amount of the loan, and then add the total amount of the monthly payments made over the two years.
Total amount of the loan = $14,500 - $1,300 (down payment) = $13,200
Total amount paid = Down payment + Total amount of the loan + Total amount of monthly payments
Total amount paid = $1,300 + $13,200 + ($585.04 x 24) [since there are 24 monthly payments in 2 years]
Total amount paid = $1,300 + $13,200 + $14,041.60
Total amount paid = $28,541.60
Therefore, the total amount Debra ended up paying for the equipment (including the down payment and monthly payments) was $28,541.60.
(b) To find the amount of interest paid on the loan, we need to subtract the total amount borrowed from the total amount paid, and then subtract the down payment. This will give us the total amount of interest paid over the two years.
Total interest paid = Total amount paid - Total amount borrowed - Down payment
Total interest paid = $28,541.60 - $13,200 - $1,300
Total interest paid = $14,041.60
Therefore, the amount of interest Debra paid on the loan was $14,041.60.
To know more about the financial mathematics visit:
brainly.com/question/28221298
#SPJ1
If y = x then dy, the differential of y, as a changes from 64 to 64.1 is given
by
Answer:
\(dy \ = \ 0.1\)
Step-by-step explanation:
Considering the Leibniz notation to represent the derivative of \(y\) with respect to \(x\), suppose \(y \ = \ f\left(x\right)\) is a differentiable function, let \(dx\) be the independent variable such that it can be designated with any nonzero real number, and define the dependent variable \(dy\) as
\(dy \ = \ f'\left(x\right) \ dx\),
where \(dy\) is the function of both \(x\) and \(dx\). Hence, the terms \(dy\) and \(dx\) are known as differentials
Dividing both sides of the equation by \(dy\), yield the familiar expression
\(\displaystyle\frac{dy}{dx} \ = \ f'\left(x\right)\).
Given that \(f\left(x\right) \ = \ x\) and \(dx \ = \ 64.1 \ - \ 64 \ = \ 0.1\), hence
\(f'\left(x\right) \ = \ 1\).
Subsequently,
\(dy \ = \ f'\left(64\right) \ \times \ 0.1 \\ \\ dy \ = \ 1 \ \times \ 0.1 \\ \\ dy \ = \ 0.1\).
Question 7
0 / 2 pts
On March 1, Imhoff Co. began construction of a small building. Payments of $267,596 were made monthly for several months. The payments begin on the first day of April; the last payment was made August 1. The building was completed and ready for occupancy on the first day of September. In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are
Y Correct Answer 334,495 margin of error +/- 5
The solution is : the weighted-average accumulated expenditures are $101,269.5.
Explanation:
Calculation to determine the weighted-average accumulated expenditures
Weighted-average accumulated expenditures=$202,539* (3/12 + 2/12 + 1/12)
Weighted-average accumulated expenditures=$202,539*0.5
Weighted-average accumulated expenditures=$101,269.5
Therefore In determining the amount of interest cost to be capitalized, the weighted-average accumulated expenditures are $101,269.5.
learn more on weighted-average click:
https://brainly.com/question/16008865
#SPJ1
Which figures can have all of the properties shown below?
2 pairs of parallel sides
Sides that are perpendicular
Opposite sides that are equal
square, pentagon, rectangle
trapezoid, triangle, square
quadrilateral, square, rectangle
rectangle, hexagon, square
Answer:
Quadrilateral, square, rectangle
Step-by-step explanation:
An object have parallel sides if the sides have the same distance apart and they never meet.
Quadrilaterals usually have parallel sides
Polygons including triangles and pentagons do not have parallel sides
the sides of a quadrilateral are also perpendicular. the sides form a 90 degree angle with each other
Opposite sides of a quadrilateral are usually equal. For example, the opposite lengths of a rectangle are equal. the four sides of a square are equal