In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
what is function ?The subject of mathematics includes quantities and their variations, equations and related structures, forms and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A relationship between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.
given
h(x) = (x+1)²
h(-2) = 1
h(-1) = 0
h(3) = 8
In light of this, 1,0,8 is the value of the function h(x) = (x+1)2 where h is defined for all real integers.
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Express $0.3\overline{2}$ as a fraction in simplest form.
Answer:
3/20
Step-by-step explanation:
[tex]\frac{0.3}{2}=\frac{0.3*10}{2*10}=\frac{3}{20}[/tex]
two subtracted from the product of 9 and a number is greater than or equal to 19 .
translate the sentence into an inequality
Answer: 9x - 2 >= 19.
Step-by-step explanation:
The sentence can be translated into the inequality 9x - 2 >= 19.
Here is a step-by-step breakdown:
"Two subtracted from the product of 9 and a number" can be written as 9x - 2.
"Is greater than or equal to 19" can be written as >= 19.
Putting these two pieces together, we get the inequality: 9x - 2 >= 19.
Josh and Diego are comparing how much candy they have. Josh has five boxes and fifteen loose candies. Diego has six
boxes and three loose candies. However, they each have the same total amount of candy. If there are the same number of
candies in each box, how many pieces are in a box?
3. Equation:
4. Number of pieces in each box:
The solution of given algebra question is-The number of candies in each box is 12.
What are the Algebra Basics?In algebra, the fundamental concepts are numbers, parameters, constants, expressions, coefficients, linear equations, and quadratic equations. Additionally, it requires adding, subtracting, multiplying, and dividing basic arithmetic operations within the algebraic formulas.
What is the algebraic first rule?Multiplication and division tasks should be completed first from left to right, followed by addition and subtraction tasks from left to right.
According to given information:Let the number of candies in the box be x
Total candies with Josh=5x+15
Total candies with Diego=6x+3
Since, they have same number of candies,
Hence,
5x+15=6x+3
6x-5x=15-3
x=12
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Use the binomial theorem to expand expressions 1-4 and answer question 5.
1. (3x^2 +y)^3
2. (5x^4 +2y^5)^4
3. (x^3 +4y^2)^5
4. (x-2y)^6
5. find the coefficient of x^3 y^4 in the expansion of (2x+5y^2)^5
On solving the provided question, we cans ay that the value of x from the polynomial [tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex] is = 16 and 1
what are polynomials?A polynomial is a mathematical statement made up of coefficients and uncertainty that exclusively uses additions, subtractions, multiplications, and positive integer powers of variables. A single indeterminate x polynomial is represented by the expression x2 4x + 7. A polynomial is an expression in mathematics that consists of variables (sometimes referred to as indeterminates) and coefficients that may be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic expression made up of coefficients and variables. The only operations that an expression can contain are addition, subtraction, multiplication, and non-negative integer exponents. These expressions are known as polynomials.
here,
[tex]5x^4 +2y^5)^4[/tex] and [tex](3x^2 +y)^3[/tex]
as x = 0 and y = 1
answer is = 16 and 1
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if a teenager receives 4 tokens for finishing first place in an arcade game, which table correctly represents the realtionship between the number of tokens the teenager receives and the number of first place finishes the teenager completes?
Answer:
The first chart.
Step-by-step explanation:
The first table. The chart gives a ratio of 1:4, which is the same as the amount the teenager made.
What is the point of intersection when the system of equations below is graphed on the coordinate plane?
(1, –3)
(–1, 3)
(1, 3)
(–1, –3)
The point of intersection is (–3.5, 0.5) when the system of equations below is graphed on the coordinate plane.
What is the equation?The equation is defined as a mathematical statement that has a minimum of two terms containing variables or numbers that are equal.
The system of equations below
-x + y = 4,
6x + y = -3
As per the given question, the required graph has been attached below.
The point of intersection when the system of equations is graphed on the coordinate plane is (–3.5, 0.5).
This is the point where the two lines cross each other.
Hence, the correct answer would be an option (D).
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The question seems to be incomplete the correct question would be:
What is the point of intersection when the system of equations below is graphed on the coordinate plane? -x+y=4, 6x+y= -3
A. (1, –3)
B. (–1, 3)
C. (1, 3)
D. (–3.5, 0.5)
Set V Is all do you need three digit numbers using the digits 1,2,3,4 and 5. Which set would be considered a subset V
The set that would be considered as subset V = {1,3,5} i.e set of odd numbers
What is a subset?A set A is a subset of another set B if all elements of the set A are elements of the set B. In other words, the set A is contained inside the set B. The subset relationship is denoted as A⊂B. A set is a collection of objects or elements, grouped in the curly braces, such as {a,b,c,d}. If a set A is a collection of even number and set B consists of {2,4,6}, then B is said to be a subset of A, denoted by B⊆A and A is the superset of B.
In the set 1,2,3,4,5 contains odd numbers and even numbers. But there are just 2 even numbers and 3 even numbers.
But the subset V of the numbers above must contain 3 numbers, this means that subset V will contain odd numbers from 1 to 5.
Therefore, This means that subset V = { 1,3,5}
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Jesus wants to start saving for college. His parents started an account for him tht currently holds $325. Jesus adds $50 each week.
from 84 books to 110 books
160.7 is what percent of 128?
Answer:
125.54%
Step-by-step explanation:
160.7/128 = 1.2554
1.2554 *100 = 125.54%
Roller coaster A can reach a top speed of 110 ft./s roller coaster B can reach a top speed of 85 mph which roller coaster has a greater top speed?
Roller coaster B has greater top speed than roller coaster A.
What is unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given,
speed of roller coaster A = 110ft./s
speed of roller coaster B = 85mph
1 mile = 5280 feet
⇒ 85 mile = 5280 × 85 = 448800 feet
1 hour = 3600 seconds
speed of roller coaster B = 448800/3600 ft/s = 124.67 ft/s
comparing speed of both
Speed of roller coaster B > speed of roller coaster A
Hence roller coaster B has greater top speed.
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A doctor gives 10 patients Drug A and 10 patients Drug B and records the differences. Is this an observation, survey, experiment, or simulation?
The given drug experiment is an example of observation.
What are the types of statistical studies worksheet?There are three major types of statistical studies :
observational studiessurveysexperiments.Given is that a doctor gives 10 patients Drug A and 10 patients Drug B and records the differences.
Giving 10 patients Drug A and 10 patients Drug B and then recording the differences is an example of observation.
Therefore, the given drug experiment is an example of observation.
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Hey guys can you help me with this math problem I'm stuck
The transformation of function y = |x| is g(x) = f(x + 4) + 2. The equation of transformed graph is y = |x + 4| - 2
What is a function?
An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given function is y = |x|.
The vertex is (0,0). The vertex of the transformed function is (-4,-2)
It means the graph is shifted 4 units left sides and 2 unit downward direction.
The graph of f(x) is horizontally shifted by a units on left side then the equation function becomes f(x + a).
The graph of f(x) is horizontally shifted by a units on right side then the equation function becomes f(x - a).
The graph of f(x) is vertically shifted by a units upward then the equation function becomes f(x)+a.
The graph of f(x) is vertically shifted by a unit downward then the equation function becomes f(x)-a.
The equation of the transformed equation is g(x) = f(x + 4) - 2
g(x) = |x + 4| -2
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3 1/4 - 5/8 as a fraction
5/8
i convert to decinal then back to fraction, but you can do it however.
Exact Form: 21/8
Mixed number form: 2 5/8
Step-by-step explanation:
in a military camp 50 offices had a choice of beans, plantain and rice. of there, 21 chose beans, 24 plantain and 18 rice. Also 3 chose beans only, 9 plantain only, 2 rice only and 5 chose all three kinds of food
illustrate this on a venn diagram
The Venn diagram to illustrate this information is given 24 children got plantain and 18 rice and 21 chose beans.Following relation are given below.
What is Venn diagram in math?A Venn diagram is a diagrammatic representation of two or more sets.The Venn diagram shows the relationship among sets using circles and the area they cover concerning each other.Venn diagrams are used to visually depict sets, relationships between sets, and operations on sets.
What are the symbols in Venn diagram?∪ symbol shows Union of two sets. A complete Venn diagram represents the union of two sets. ∩ shows the Intersection of two sets.Intersection represents something that you want to compare and contrast. Where the two circles intersect we would write traits that the two things have in common.
Now
The number of children who took plantain and beans only are:
Let beans = a
Rice = b
Plantain = P
So: a + b = 24 - 9 - 5 = 10
Note that 24 children took plantain.
9 children took only Plantain.
5 took the 3 food items.
So,
b + c = 18 -2 - 5 = 11
a + c = 21 - 3 - 5 = 13
P∩B = a + 5
= 6 + 5 = 11
R ∩ B = C + 5
=7 + 5 = 12
None of the three items of food =
50 - (3 + 2 + 9 + 6 + 4 + 7 + 5)
= 50 - 36
=14
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If a circle has a radius of 7/4 cm, what is the diameter?
Responses
a) 3 1/2 cm
b) 7/8 cm
c) 1 3/4 cm
d) 2 1/4 cm
Answer:
Step-by-step explanation:
Answer:
Option A) [tex]3\frac {1}{2}[/tex]
Step-by-step explanation:
In order to find the diameter you need to multiply the radius x 2
Over here the radius is given as 7/4cm
But the diameter is
[tex]\frac{7}{4} X\frac{2}{1}[/tex] = [tex]\frac{7}{2}[/tex]
And when we simply the mixed fractions we only get one possible answer
which is [tex]3\frac{1}{2} = \frac{7}{2}[/tex] Option A)
C(6,18), SF=____ C'(2,6)
Pls help me solve this and figure this out!!!
Two car dealerships pay their employees a monthly salary plus a commission on cars that they sell.
The person who is right on the dealership that pays a higher commission, is Tyson because Dealership A pays the higher commission.
How to find the commission paid ?The commission paid on Dealership A cars can be found by the formula :
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 850 - 1, 900 ) / ( 4 - 1 )
= $ 650
The commission paid on Dealership B cars would be:
= ( Monthly income for 4 cars - Monthly income for 1 car ) / Difference in number of cars
= ( 3, 500 - 2, 000 ) / ( 4 - 1 )
= 1, 500 / 3
= $ 500
Dealership A pays the higher commission.
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Using the following conversions between the metric and U.S. systems, convert the measurement.
Round your answer to 6 decimal places as needed
1 meter = 3.28 feet
1 Liter = 0.26 gallons
1 kilogram = 2.20 pounds
0.828 oz=________cg
Using the conversion between metric and U.S systems the value of 0.828oz is 2347.34 cg.
What is metric conversion?A system of measurements is called the metric system. It is employed in calculations and research across the globe. Some examples of metric system are distance in lengths, weights in grams, volume in milliliters and much more.
The conversion between ounces (oz) into centigram (cg) is given as follows:
1 oz = 2834.95
To convert 0.828 oz into centigram we need to multiply the value 0.828 oz with 2834.95 as follows:
(0.828) (2834.95)
2347.35
Hence the value of 0.828 oz is 2347.34 cg according to the conversion from metric to US system.
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I need to figure out how to do linear fuctions... If I could get help that would be great, thanks.
Answer:
linear function can be found by looking at a linear graph and determining the equation of the line and converting that equation into a function.Step-by-step explanation:
The steps to do this are: Find the y-intercept (this is equal to b in the formula) Find the slope of the line (this is equal to m in the formula)
Sean baked 18 dozen chocolate cupcakes and 13 dozen vanilla cupcakes. About how many cupcakes did sean bake
50 POINT ANSWER (screenshot attached)
Step-by-step explanation:
x + 6y = 8 ........... ( ×2 ) ....... ( 1 )
2x + 4y = -8 ......... ( × 1 ) ....... ( 2 )
2x + 12y = 16
- - -
2x + 4y = -8
+12y - ( +4y ) = 16 - 8
12y - 4y = 8
8y = 8
divide both sides by the coefficient of y ( 8 )
8y / 8 = 8 / 8
y = 1
substitute for x in equation ( 1 )
x + 6y = 8
x + 6 ( 1 ) = 8
x + 6 = 8
x = 8 - 6
x = 2
x = 2 , y = 1
A line has a slope of 3/8 and passes through the point (15.2,-7)
The equation of the line in point-slope form is???
ANSWERS↓↓
The linear equation can be written in point-slope form as:
y + 7 = (3/8)*(x - 15.2)
So the correct option is A.
How to get the linear equation?A linear equation with a slope M and a known point (h, k), can be written in the point-slope form as:
y - k = m*(x - h)
Here we know that the slope of the line is 3/8, then we get:
y - k = (3/8)*(x - h)
And we also know that this line must pass through the point (15.2, -7), then we know that:
h = 15.2
k = -7
Replacing these values we get:
y + 7 = (3/8)*(x - 15.2)
Thus the correct option is the first one, A.
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Graph the inequality.
y> -3x²-30x-68
(Will mark brainliest)
Answer:
See below
Step-by-step explanation:
Because it's an inequality, the upside-down parabola has dashed lines instead of a sold line. Additionally, only one side of that parabola will contain the solution set, which we can easily figure out by testing a point like (0,0):
[tex]0\stackrel{?}{ > }-3(0)^2-30(0)-48\\0\stackrel{?}{ > }-48\\\\0 > -48 \text{ is true}[/tex]
Hence, the side that contains (0,0) gets shaded. See the graph below.
A tank of water is being drained. Due to a problem, the sensor does not start working until some time into the draining process. The sensor starts its recording at time zero when there are 770 liters in the tank.
The complete table is given below.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1)
Time after change in water expression water in tank
sensor starts
0 0 770 + (0)(-14) 770
1 -14 770 + (1)(-14) 756
5 -70 770 + (5)(-14) 700
10 -140 770 + (10)(-14) 630
2)
Time after change in water expression water in tank
sensor starts
1 -14 770 + (1)(-14) 756
0 0 770 + (0)(-14) 770
-1 14 770 + (-1)(-14) 784
-2 28 770 + (-2)(14) 798
-3 42 770 + (-3)(14) 812
-4 56 770 + (-4)(14) 826
-5 70 770 + (-5)(-14) 840
Thus,
The complete table is given above.
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The complete question is given below.
Which of the following would not be an example of a compound event?
(1) having a coin land on heads three consecutive times
(2) pulling a king out of a deck of cards
(3) missing two free throws in a row
(4) answering four true/false questions correctly by guessing
The only option that is not a compound event is; (2) pulling a king out of a deck of cards
How to identify a compound event?Compound probability is defined as a mathematical term that relates to the likeliness of two independent events occurring.
Thus, a simple event has only one outcome while a compound event involves the probability of more than one outcome
1) For a coin to land on heads three consecutive times means that there can only be three possible independent outcome and so this is a compound event.
2) Pulling a king out of a deck of cards is a simple event and not compound because it has only one outcome.
3) This is a compound event because we are dealing with two independent probabilities.
4) This is a compound event because we are dealing with two independent events which are true or false answers.
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15. Malik used the method of elimination to solve the system below.
4x+3y=12
2x+y=5
(a) Malik first rewrote the second equation as:
-6x-3y=-15
What property justifies writing this equation?
(b) Malik correctly solves this system usi
elimination. Was the value he found for
larger or smaller than 1? Justify.
On solving the provided question, we can say that - the perimeter chest won't fit next to her bed, thus the answer is no.
What is a perimeter?The perimeter of a form is determined by the length of its contour. A rectangle or square's perimeter is determined by adding the widths of its four sides. In this instance, the rectangle's length and breadth are represented by x and y, respectively. The surface of a form is used to compute its area.
Given here is: In her room, it is 86 inches wide. The width of the bed is 76 inches.
She also wants to accommodate a chest of drawers that is 72 centimeters broad, which equals inches.
=> 90 cm = 24.6546536565 inches
and the space left in her room = 86-76=10 inches
thus, the chest will not fit next to her bed
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Which sets of three numbers could represent the lengths of the sides of a right triangle?
Choose the two correct answers.
Responses
12, 15, 21
40, 42, 58
9, 40, 41
31, 40, 41
Answer: why do we even need math
Step-by-step explanation:
At a bakery, 55 chocolate chip cookies were burned. if that was 15% of the day's production, how many total cookie did they make that day?
The total number of cookies that was made that day given that 55 which is 15% was burnt is 360.
How to solve for the number of cookies madeWe know that the number of burned cookies is 55, and that this represents 15% of the total production for the day.
We can use this information to set up a proportion to find the total number of cookies made that day.
Burned cookies / Total cookies = 15% / 100%
55 / X = 15/100
To find the total number of cookies made, we can cross-multiply and divide:
X = (55 * 100) / 15
X = 365
So, the bakery made a total of 365 cookies that day.
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Find the range of the relation. x y –3 4 –2 2 –1 0 0 –2 1 –4 Responses {–4, 4} {–4, 4} {–3, –2, –1, 0, 1} {–3, –2, –1, 0, 1} {–4, –3, –2, –1, 0, 1, 2, 4} {–4, –3, –2, –1, 0, 1, 2, 4} {–4, –2, 0, 2, 4}
The range of the function will be;
⇒ { 4, 2, 0, - 2, - 4 }
or, { - 4, - 2, 0, 2, 4 }
What is Function?A relation between a set of inputs having one output each is called a function.
Given that;
The relation is,
⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)
Now,
Since, The relation is,
⇒ (x, y) = (- 3, 4) , (- 2, 2), (- 1, 0), (0, - 2), (1, - 4)
We know that;
The range of relation is the value of y.
Hence, The range of relation = { 4, 2, 0, - 2, - 4 }
Thus, The range of the function will be;
⇒ { - 4, - 2, 0, 2, 4 }
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