There are two quadratic functions as A. 2b(b - 7) + b = 0 and B. (4a + 2)(2a - 1) + 1 = 0.
What is a quadratic function?The quadratic function is defined as a function containing the highest power of a variable is two.
A. 2b(b - 7) + b = 0 is a quadratic function because it can be simplified to the form of ax² + bx + c = 0 where a, b, and c are constants and x is the variable. In this case, a = 2, b = -13, and c = 0.
B. (4a + 2)(2a - 1) + 1 = 0 is also a quadratic function because it can be simplified to the form of ax² + bx + c = 0. In this case, a = 8, b = -2, and c = 1.
C. 2y + 2(3y - 5) = 0 is not a quadratic function because it can be simplified to the form of mx + b = 0 where m and b are constants and x is the variable.
D. 8 - 5x = 4(3x - 1) is not a quadratic function because it can be simplified to the form of mx + b = 0 where m and b are constants and x is the variable.
Thus, the correct answer would be options A. 2b(b - 7) + b = 0 and B. (4a + 2)(2a - 1) + 1 = 0.
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Please help!!!
I will give brainly if it gives me the opportunity
The expression that will help to find the area of the given shaded region is 3x²+27x+51.
What is area?Area is a measure of the amount of space inside a two-dimensional shape or surface. It is usually expressed in square units, such as square inches, square feet, or square meters. The area of a shape can be calculated by multiplying its length by its width, or by using a specific formula for that shape. For example, the area of a rectangle is found by multiplying its length and width, while the area of a circle is found by multiplying the square of its radius by pi (3.14). Area is an important concept in mathematics, and it is used in many real-world applications such as calculating the amount of paint needed to cover a wall, or the amount of land needed to build a house.
Here,
area of rectangle=(x+10)(2x+5)
area of square=(x+1)²
area of shaded region=area of rectangle-area of square
=(x+10)(2x+5)-(x+1)²
=2x²+20x+5x+50+x²+2x+1
=3x²+27x+51
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Select all the equations that are equivalent to this equation
The equations equivalent to the given equation 3x - 4 = 5 are A) 3x = 9, B) 3x - 4 + 4 = 5 + 4 and E) -4 = 5 - 3x.
What is an Equation?An equation is defined as a mathematical statement containing two expressions on either sides which are connected with an equal to sign.
Either sides of an equation are called as left hand side and right hand side.
Given equation is 3x - 4 = 5.
Adding the number 4 on both sides, we get,
3x - 4 + 4 = 5 + 4, which is the equation B.
Simplifying,
3x = 9, which is the equation A.
x = 3
3x - 4 = 5
Subtracting 3x on both sides of the equation,
3x - 4 - 3x = 5 - 3x
-4 = 5 - 3x, which is the equation E.
Hence the equivalent equations are A, B and E.
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Your question is incomplete. Probably the correct question is as follows.
Select ALL the equations that are equivalent to the equation 3x - 4 = 5.
A) 3x = 9
B) 3x - 4 + 4 = 5 + 4
C) x - 4 = 2
D) x = 9
E) -4 = 5 - 3x
Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister that she has to pay back before she can start saving.
This relationship can be shown by a linear function. Below is a table showing how many hours Yvette has worked (input), and how much money she's saved (output).
Hours Worked (x) Amount Saved (y)
0 -$25
4 $14
8 $53
12 $92
16 $131
Which of the following statements are true regarding the graph of this linear function? Select all that apply.
Group of answer choices:
A. The slope of the line, 25, is the amount of money she makes per hour of work.
B. The slope of the line, 9.75, is the amount of money she starts with having worked 0 hours.
C. The y-intercept of the line, 0, is the amount of money she starts with, since she's worked 0 hours.
D. The y-intercept of the line, -25, is the amount of money she starts with, since she owes her sister $25 and has worked 0 hours.
E. The slope of the lines, 9.75, is the amount of money she makes per hour of work.
The slope of the line is 9.75 and the y-intercept is -25.
What is a linear function?
Two distinct but related concepts are referred to by the phrase "linear function": A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.
Here, we have
Given: Yvette is saving money to buy holiday gifts. She will save the money she makes at her part-time job. However, she borrowed $25 from her sister which she has to pay back before she can start saving.
Let the linear function that models the given situation be y = ax + b. Here, a and b are constants. We can use this information to find the values of a and b.
We put x = 0 and y = -25 into y = ax + b
b = -25
Substitute the value of b into y = ax + b
y = ax -25...(1)
Now we put x = 4 and y = 14 in equation(1) and we get
14 = 4a - 25
4a = 39
a = 9.75
Substitute the value of a in equation (1):
y = 9.75x - 25
Compare the above function with the slope-intercept form of a line y = mx + c
m = 9.75, c = -25
Hence, the slope of the line is 9.75 and the y-intercept is -25.
A. From the previous calculations, it is clear that the slope of the line is 9.75. Hence, the first statement is not true.
B. From the given table, it is known that person Y had started working with -25 dollars. Clearly, 9.75 is the slope of the line, but it does not represent the initial amount that person Y had at x = 0. Hence, the second statement is not true.
C. From the previous calculations, it is clear that the y-intercept is -25, not 0. Hence, the third statement is not true.
D. From the previous calculations and the given table, it is clear that the y-intercept is -25, and it does represent the initial amount that person Y had at x = 0. Note that the y-intercept is negative as the person has borrowed 25 dollars from her sister. Hence, the fourth statement is true.
E. From the previous calculations, it is clear that the slope of the line is 9.75. It is known that the slope of a line represents the rate of change in the value of y with respect to x. So, it can be concluded that 9.75 represents the amount that person Y earns per hour. Hence, the fifth statement is true.
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What is 168 cm to ft inch ?
From the information given, 168 cm is approximately equal to 5 feet and 6.14 inches (rounded to two decimal places).
To convert centimeters to feet and inches, you can use the following conversion factors:
1 inch = 2.54 cm
1 foot = 12 inches
First, convert the length in centimeters to inches by dividing by 2.54:
168 cm ÷ 2.54 cm/inch = 66.14 inches
Next, convert the total number of inches to feet and inches. To do this, divide the total number of inches by 12 to get the number of whole feet, and then use the remainder as the number of inches.
66.14 inches ÷ 12 inches/foot = 5 feet with a remainder of 6.14 inches
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Fill in each blank with the correct number or variable.
7 (x + 2) = 7 x ___ + 7 x ___
Answer: x,2
Step-by-step explanation:
Answer:
7 x x + 7 x 2
Step-by-step explanation:
7(x + 2)
7x + 7(2)
7x + 14
Linda drove 567 miles in 9 hours.
At the same rate, how long would it take her to drive 693 miles?
The time taken by Linda to cover 693 miles is 11 hours.
What is rate of change?Rate of change is the speed at which the variables changes with respect to time.
In 9 hours Linda drove 567 miles.
Miles travelled in 1 hour is,
[tex]speed=\frac{distance covered}{timetaken}[/tex]------(1)
=[tex]\frac{567}{9}[/tex]
= 63 miles per hour.
Linda drove 63 miles per hour.
She is travel in the same rate from the beginning.
Let t be the time taken by her to travel 693 miles is,
By using (1),
[tex]speed=\frac{distance covered}{timetaken}[/tex]
[tex]t=\frac{693}{63}[/tex]
⇒t=11 hours.
Hence, the time taken by Linda to cover 693 miles is 11 hours.
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Please work the problem
Answer:
6x-7=3x-29
6x-3x=-29+7
3x=-23
x=-23/3
6x-7=8y+17
6(-23/3)-7=8y+17
-46-7=8y+17
8y+17+53=0
y=70/8
Y=8.75
ANS!!
The total number of signatures on a petition
doubles each week. In the sixth week, there
are 192 signatures on the petition. How many
signatures were on the petition in the first week?
(PLEASE give me an answer that is different from 192/2 96/2 etc..)
The number of signature on the petition in the first week is 6
What is doubling?A double is a number or an amount that is twice as large as the given number or amount. So, if we multiply a number by 2 or if we add a number to itself, we say that the number is doubled.
Since the signature doubles every week
represent the initial signature by x
p(o) = x
second week =2 x
third week =4 x
fourth week = 8x
fifth week =16 x
sixth week = 32x
32x = 192
x = 192/32
x = 6
therefore the number of signature on the petition in the first week is 6
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Find an expression that represents the difference when (-4x+4) is subtracted from (-9x-7) in simplest terms.
The required simplified expression result of (-4x+4) is subtracted from (-9x-7) is -5x -11.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
The expression (-9x-7) - (-4x+4) can be simplified as follows:
First, we'll combine the like terms:
-9x - 7 - (-4x + 4)
Next, we'll use the distributive property to simplify the right side:
-9x - 7 - (-4x) + 4
Combining like terms on the right side:
-9x - 7 + 4x - 4
Combining the remaining terms:
-5x -11
Thus, the requried simplified expression is given as -5x-11.
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Determine which of the following properties are always true by dragging them to the right:
-All four sides are congruent
-Opposite sides are congruent
-Opposite sides are parallel
All four angles are congruent
-Opposite angles are congruent
Diagonals are congruent
-Diagonals bisect each other
-Diagonals intersect at a right angle
diagonals bisect interior angles
-Sum of all angles equals 360
The properties that are always true are: Opposite sides are congruent. Opposite sides are parallel. Opposite angles are congruent. Sum of all angles equals 360. Diagonals bisect each other.
What are diagonals?A diagonal in mathematics is a line that joins two solids or polygons whose vertices are not on the same edge. Generally speaking, a diagonal is a sloping or slanting line that joins the vertices of a form. The term "diagonal" refers to lateral forms with sides, edges, and corners.
The properties that are always true are:
Opposite sides are congruent.
Opposite sides are parallel.
Opposite angles are congruent.
Sum of all angles equals 360.
Diagonals bisect each other.
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Micaela bought a concert ticket online for $76. She used a coupon code to get a 20%
discount. The website also applied a 5% processing fee to the price after the discount.
How much did Micaela pay, in the end? Round to the nearest cent.
Micaela paid the amount of $63.8 in the end for a concert ticket.
How to calculate the percentage discount?Subtract the final price from the original price then Divide this number by the original price. Finally, multiply the result by 100. You've obtained a discount in percentages.
Reformulate the basic equation to:
% discount = 100 × (original price - discounted price) / original price
To calculate the final price that Micaela paid, we need to apply the discount and the processing fee to the original price of the ticket.
The discount is 20% of the original price of $76, which is:
discount = 0.2 x $76 = $15.20
So Micaela paid:
price after discount = $76 - $15.20 = $60.80
Now we need to apply the processing fee. The processing fee is 5% of the price after the discount, which is:
processing fee = 0.05 x $60.80 = $3.04
So the final price that Micaela paid is:
final price = $60.80 + $3.04 = $63.84
Therefore, she paid $63.8 in the end, rounded to the nearest cent.
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half as big as last night’s crowd ( c = size of last night’s crowd )
verbal expression to algebraic expression
Answer: (1/2)c
To write an algebraic expression, convert parts of the verbal expression.
What is an expression?An expression is numbers or variables with operations performed between them. It does not have an equal sign.
OperationsOperations are ways we change numbers, usually to make them bigger or smaller. Examples of operations are multiplication, division, subtraction, addition, and square root.
Write an expressionThe question says: "half as big as last night’s crowd"
last night's crowd = c
'half as big' = 1/2
This is a proper fraction with the top number smaller than the bottom number. When we multiply 'c' with a proper fraction, the answer would get smaller.Therefore, we can represent the problem using the expression [tex]\frac{1}{2}c[/tex].
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How do you find the limit of a function on a calculator?
Answer:
Step-by-step explanation:
The method for finding the limit of a function on a calculator depends on the specific calculator you are using. Here are the general steps for finding the limit of a function using a graphing calculator:
Enter the function: Most graphing calculators have a function editor where you can enter the function you want to find the limit of.
Set the limit: To find the limit of the function at a particular point, you need to specify the value at which you want to find the limit. This is done by entering the limit expression, for example: limit(f(x), x, a) where f(x) is the function, x is the variable, and a is the value at which you want to find the limit.
Evaluate the limit: After entering the limit expression, you can evaluate it by pressing the "enter" or "=" button. The calculator will then display the limit of the function at the specified value.
It's important to note that a graphing calculator can only estimate the limit of a function based on the accuracy of the graph, so the result may not be exact. Additionally, some functions may have limits that cannot be evaluated using a calculator. In these cases, you may need to use analytical methods to determine the limit.
aiden earns 16.00 per hour if he gets a 4% raise, what will be his new hourly wage
Aiden's new hourly wage would be 16.64 per hour.
Solution:
We have been given that Aiden's hourly wage is 16.00 per hour
So, If he gets a 4% raise then his hourly wage will be,
16* (100+ 4) / 100 = 16.64
Therefore, Aiden's new hourly wage will be 16.64 per hour.
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There are 400 eighth graders at Wilson Middle SchoolIn the class president election, 296 students voted for Luke, 60 students voted Alice, and 44 students voted for Chris.who voted for luke
Answer: In the class president election at Wilson Middle School, 296 students voted for Luke.
Step-by-step explanation:
Two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.
Which Postulate or Theorem is stated above?
Question 1 options:
Polygon Similarity Postulate
Polygon Congruence Postulate
Angle-Angle Similarity Postulate
Side-Side-Side Similarity Theorem
Side-Angle-Side Similarity Theorem
Angle-Angle Similarity Postulate states that two polygons are similar if and only if they have two corresponding angles that are congruent.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Given that two polygons are similar if and only if there is a correspondence among their angles and among their sides so that all corresponding angles are congruent and all corresponding sides are proportional.
The statement above is the Angle-Angle Similarity Postulate, which states that two polygons are similar if and only if they have two corresponding angles that are congruent.
Hence, Angle-Angle Similarity Postulate states that two polygons are similar if and only if they have two corresponding angles that are congruent.
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Answer:
Angle-Angle Similarity Postulate
Step-by-step explanation:
9tailsminato9.
Seven people are going to share an 84-ounce bottle of soda. How many ounces will each person get to drink? Choose the correct equation and answer for this situation.
7 ÷ 84 =
= 12 ounces
84 ÷ 7 =
= 12 ounces
7 ÷ 84 =
ounces
84 ÷ 7 =
ounces 50 points if answered
Answer:
Each person will receive 12 ounces
Step-by-step explanation:
84 ounces divided by 7 people
84 / 7 = 12
Ayana is
1
1
2
1
2
1
1, start fraction, 1, divided by, 2, end fraction meters tall. Her little sister Chike is
1
1
4
1
4
1
1, start fraction, 1, divided by, 4, end fraction meters tall.
Ayana is 6/5 times as tall as Chike.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Height of Ayana = 1 1/2 meter
And, Height of Chike = 1 1/4 meter
Now, We can simply solve the above problem as follows;
Height of Ayana = 1(1/2) meters
We can also write it as;
= 3/2 meters
And, Height of Chike = 5/4 meters
Hence, To compare the given fractions we will first make the denominator equal by taking the LCM.
LCM of 2 and 4 = 8
Hence, Heights of Ayana can be rewritten as, 12/8 meters
And, Height of Chike can be rewritten as, 10/8
Now, Comparing the height of Ayana and Chike as;
= (12/8) ÷ (10/8)
= 12/10
= 6/5
Hence, Ayana is 6/5 times as tall as Chike.
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Complete question is this,
Ayana is 1(1/2) meters tall. Chike is 1(1/4) meters tall. Complete the comparison.
Ayana is ____ times as tall as chike.
Wayne earns 5.3% simple interest for 5 years on $3000. How much interest does he earn on the account? I=prt
*
1 point
$883.86
$795
$3,883.86
$1,795
Answer: I would say it’s D. $1,795
Step-by-step explanation: why not pick D….
Hope this helps^^
The simple interest earned on $3000 after 5 years at 5.3% rate of interest is $795. The correct option is C .
Given,
Principal amount = $3000
Rate of interest = 5.3%
Time = 5 years
Now,
Simple interest = Principal × ROI ×Time/100
Substitute the values ,
Simple interest = 3000 * 5.3 * 5/ 100
Simple interest = 79500/100
Simple interest = $795
Total amount after 5 years = $3000 + $795
= $3795
Hence simple interest earned on $3000 at ROI of 5.3% after 5 years will be $795 .
Therefore option C is correct.
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A rectangle has a length of 19 inches and a
vidth of 15 inches. What is the perimeter
of the rectangle?
The perimeter is
inches.
Answer:
Step-by-step explanation:
So when solving for the perimeter you need to add up all the sides. So 15 + 15 = 30 and 19 + 19 = 38. So 38 + 30 = 68 inches. So there is your answer. 68 inches is the perimeter.
Solve for x. Figures are not necessarily drawn to scale.
M
X
9
N
7
Q
10.5
9
The value of x is given as follows:
x = 13.5.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship for the side lengths is given as follows:
9/x = 7/10.5.
Applying cross multiplication, the value of x is obtained as follows:
7x = 9 x 10.5
x = 9 x 10.5/7
x = 13.5.
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How is matrix multiplication done in MATLAB?
The " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles.
So the " * " operator is used in MATLAB to do matrix multiplication. In MATLAB, the matrix multiplication process is based on linear algebraic principles. In MATLAB, the standard syntax for multiplying matrices is:
When the dimensions of A and B satisfy the matrix multiplication rule, the css copy code C = A * B can be used. Particularly, the number of rows in matrix B and the number of columns in matrix A must match.
The resulting matrix C will be the same size in terms of both rows and columns as matrix A and matrix B. Here is an illustration of how matrix multiplication functions in MATLAB:
A = [1 2; 3 4];% Define matrix A B = [5 6; 7 8];% specify matrix.
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Which shows how to solve the equation 3/4 X = -6 for x in one step?
To solve the equation 3/4 x = -6 for x in one step, you can multiply both sides of the equation by 4/3:
3/4 x = -6
4/3 * (3/4 x) = 4/3 * (-6)
x = 8
3. CONSTRUCTION
The diagram shows an
example of the Pratt truss used in bridge
construction.
Find m/1.
The angle ∠1 is 55 degrees.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given that diagram shows an example of the Pratt truss used in bridge
construction.
We need to find the angle ∠1.
The given triangle is a right angle triangle which has one angle 90 degrees.
The adjacent angle to 145 degrees be angle 2.
145+∠2=180
∠2=180-145
∠2=35 degrees.
We know that the sum of three angles is 180 degrees
So ∠1+35+90=180
∠1+125=180
Subtract 125 from both sides
∠1=180-125
∠1=55
Hence, the measure ∠1 is 55 degrees.
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HELP!!!!!! IM SICK AND IM TRYING TO TEACH MYSELF MATH!!!!!!!!!!!
Can someone please help me with this question
40 degrees Is the answer.
Hope this helps mate.
PLs give brainliest
Answer:
40
80 + (16x-4) + (9x +4) =180
x=4
BAC = (9*4+4)
BAC = 40
In order to ride a
roller coaster at the theme park, riders
must be at least 52 inches tall. Write
an inequality to show the
safe heights for riders.
The inequality to represent the height of roller coaster is x≥52.
What are inequalities?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.
Given that. in order to ride a roller coaster at the theme park, riders must be at least 52 inches tall.
Let the height be x.
Now, x≥52
Therefore, the inequality is x≥52.
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A group of 10 Science Club students is on a field trip. That number of students represents
20% of the total number of students in the Science Club. What is the total number
of students in the Science Club?
A
B
D
20
30
50
80
The total number of students in the science club will be 50. The correct option is C.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
If 10 students represent 20% of the total number of students in the Science Club, then 10 / 0.2 = 50 students is the total number.
Therefore, The total number of students in the science club will be 50. Then the correct option is C
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in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC. Show that BF = CE
BF=CE in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
Given E and F are mid point of equal sides AB and AC of triangle ABC
In ΔABF and ΔACE
AB=AC (given )
∠A=∠A (common angle )
The side FA is equal to EA
If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent
∴ΔABF≅ΔACE (SAS rule)
∴BF=CF ( Corresponding parts of Congruent triangles.)
Hence, in a triangle ABC, E and F are mid points of equal sides AB and AC of triangle ABC then BF=CE.
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how do i solve -(-8q-8.7)
On solving the expression, we get -> (8q + 8.7).
What are algebraic expressions in mathematics?In mathematics, an expression or mathematical expression is a combination of terms, both constants and variables. For example -
2x + 4y + z
Given is the algebraic expression as -
- (- 8q - 8.7)
The given expression is -
- (- 8q - 8.7)
- (- 8q) - (- 8.7)
8q + 8.7
Therefore, on solving the expression {- (- 8q - 8.7)}, we get -> (8q + 8.7).
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