The trinomial form of the given expression (2x-2)(2x+8) is 4x² + 12x - 16.
What is the trinomial form of the given expression?Given the expression in the question;
(2x-2)(2x+8)
Expand using FOIL Method.
Apply distributive property
(2x-2)(2x+8)
2x( 2x + 8 ) -2( 2x + 8 )
Apply distributive property
2x(2x) + 8(2x) -2(2x) + 8(-2)
Perform the operation
2x(2x) + 8(2x) -2(2x) + 8(-2)
4x² + 16x - 4x - 16
Combine like terms
4x² + 16x - 4x - 16
4x² + 12x - 16
Therefore, the trinomial form of the given expression (2x-2)(2x+8) is 4x² + 12x - 16.
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2. Order the numbers from least to
greatest.
45, 4.5, √20, √45
Answer:
√20, 4.5, √45, 45
Step-by-step explanation:
find your square roots first, then group based on the value of the square roots
Eva went miniature golfing with Taylor. She shot
4 under par and Taylor shot 2 under par. By how
many strokes did Eva beat Taylor?
Angles A and B are complementary to each other. If m∠A = 41° and m∠B = (2x + 19)°, find the value of x.
x = 15
x = 11
x = 58
x = 30
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
What is the numerical value of x?Complementary angles are angles that sum up to 90 degrees.
Given the data in the question;
Angles A and B are complementary to each other.Measure of angle A = 41°Measure of angle B = (2x + 19)°Since Angles A and B are complementary to each other, the sum of angle A and B is 90 degrees.
Measure of angle A + Measure of angle B = 90°
Plug in the given values and solve for x.
41 + (2x + 19) = 90
41 + 2x + 19 = 90
2x + 60 = 90
2x = 90 - 60
2x = 30
x = 30/2
x = 15
Given that Angles A and B are complementary to each other, the numerical value of x is 15.
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Answer: A is the answer
Step-by-step explanation: i took the test and got it right
Choose the correct term to complete each sentence.The additive identity of a matrix is the ____
Answer:
number 0
Step-by-step explanation:
The identity property of addition states that when zero is added to any real number, the number does not change. Thus, the number "0" is called the additive identity of a matrix.
To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute. What was the plane's average change of altitude per minute?
plane's average change of altitude per minute 0.35 miles descended per minute.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
To avoid a storm, a passenger-jet pilot descended 0.14 mile in 0.4 minute and it is to find the plane's average change of altitude per minute and to find that we divide 0.14 miles with 0.4 minutes it will give us the descended
passenger-jet pilot does in a minute that is plane's average change of altitude :
In 0.4 minute = 0.14 miles descended
In 1 minute = 0.14/0.4 miles descended
In 1 minute = 0.35 miles descended
Therefore, plane's average change of altitude per minute 0.35 miles descended per minute.
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I need help…………………….
you earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money to you need to earn.
Answer:
Step-by-step explanation:
ok so go on a new tab and put if I earn $9.15 per hour painting a fence. it takes 6.75 hours to paint the fence. did you earn enough to buy the jersey show? is so how much money do you have left? if not how much money do you need to earn? easy. -5 start pls-
Divide and simplify. √128/8
The simplest form of the expression is √2 .
Expressions in science square measure mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by degree operator in between.Simplifying expressions mean redaction an identical maths expression with no like terms and through a compact manner.To change expressions, we tend to tend to combine all kind terms and solve all the given brackets, if any, so at intervals the simplified expression, we tend to square measure about to be exclusively left with not like terms that cannot be reduced any.We have given an expression √128/8 . .....(1)
Factors of 128 is given by
128 = 2 × 2 × 2 × 2 × 2 × 2 × 2
Put this factors in equation (1) , we get
√128/8 = [tex]\frac{\sqrt{2\times2\times2\times2\times2\times2\times2} }{8}[/tex]
On simplifying , we get
√128/8 = 2 ×2 × 2√2 / 8
= 8√2 /8
= √2
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Simplify the expression
a(6-1)+3b-b(2-1)+10
Answer:
5a+2b+10
Step-by-step explanation:
Let's simplify step-by-step.
a(6−1)+3b−b(2−1)+10
=5a+3b+−b+10
Combine Like Terms:
=5a+3b+−b+10
=(5a)+(3b+−b)+(10)
=5a+2b+10
Factor each expression completely. 16 a²-9 b²
Use the identity a^2-b^2 = (a+b)(a-b) to factor 16a^2 - 9b^2. The two terms are perfect square thus find a and b by taking the square roots. Complete the factoring of a^2 - b^2
16a^2−9b^2
a=√16a^2=4a
b=√9b^2=3b
a^2−b^2=(4a)^2−(3b)^2
Substitute: a^2-b^2 = (a+b)(a-b)
(4a+3b)(4a−3b)
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What is the formula for the equation of a proportional line?
Answer: y=kx
Step-by-step explanation:
For each function, find the inverse and the domain and range of the function and its inverse. Determine whether the inverse is a function. f(x)=1/x²
Answer to this question is:
Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is √x/x,-√x/x
The domain is all values of x that make the expression defined.The entire range of independent variable values is the domain of a function.
This definition can be stated simply as follows: The domain is the collection of all x-values that can be used to make the function "work" and produce actual y-values.
When choosing the domain, keep in mind that a fraction's denominator (bottom) cannot be 0.
Interval Notation:(-∞,0)∪(0,∞)
Set-Builder Notation:{x|x≠0}
The set of all valid y values constitutes the range.Graph may be used to find the values.
Interval Notation:(0,∞)
Set-Builder Notation:{y|y>0}
For calculation of inverse:
Interchange the variables x=1/y²Solve for yy=√x/x,-√x/xReplace y with f^-1(x)f^-1(x)=√x/x,-√x/x∴Domain of given function is (-∞,0)∪(0,∞),{x|x≠0}
Range of given function is (0,∞),{y|y>0}
Inverse of given function is √x/x,-√x/x
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Please help me with the blanks.
Each answer can be used more than once, by the way.
Completing the Automatic grading is used for empty questions. If a student's response corresponds to the right response you give, you will receive credit for that answer. The technique you use to assess the responses is up to you.
100% exact
Comprised comprises a portion of the right response
meets the criteria you define for a pattern
Enter your query in text form, then enclose the response in brackets. To format the text and add formulas, files, photos, and links, utilize the editor's formatting options.
Using a semicolon, divide several right responses.
Example: Red, blue, and yellow are three examples of primary colors.
A regular expression might also be used. Each blank will only accept one expression at a time. Remember to enclose both the regular expression and the solution in brackets.
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1. f(x)= (x+4)(x-6) 2. f(x)= (2x-4)(x-3)
Find the x-intercept
FOIL to convert functions to standard
Find the y-intercept
Answer both.
The intercepts and the standard form of each polynomial are listed below:
x-Intercept: x = - 4 or x = 6, Standard form: f(x) = x² - 2 · x - 24, y-Intercept: f(0) = - 24x-Intercept: x = 1 / 4 or x = 3, Standard form: f(x) = 2 · x² - 10 · x + 12, y-Intercept: f(0) = 12How to find the intercepts and the standard form of quadratic equationsIn this case we need to find the intercepts of each quadratic equation and transform each quadratic equation into standard form. The x-intercept correspond with each of the roots of the polynomial and the y-intercept is found by evaluating the expression at x = 0.
Now we proceed to find each element:
Case 1
x-Intercept
x = - 4 or x = 6
Standard form
f(x) = (x + 4) · (x - 6)
f(x) = x² - 2 · x - 24
y-Intercept
f(0) = - 24
Case 2
x-Intercept
x = 1 / 4 or x = 3
Standard form
f(x) = (2 · x - 4) · (x - 3)
f(x) = 2 · (x - 2) · (x - 3)
f(x) = 2 · (x² - 5 · x + 6)
f(x) = 2 · x² - 10 · x + 12
y-Intercept
f(0) = 12
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Ann starts her homework at 4.15pm. she takes 1 hour and 10 minutes. what time does she finish?
Answer:
5:25pm
Step-by-step explanation:
4.15 + 1.10 = 5.25
Drag each division expression to the correct location on the table.
Solve each division problem, and classify it based on its quotient.
There are three expressions having quotient 6 are:
4 2/3 ÷ 7/9
9 ÷ 3/2
12/7 ÷ 2/7
There are three expressions having quotient 9 are:
4 1/2 ÷ 1/2
21 ÷ 7/3
72/7 ÷ 8/7
What is division?The splitting of a large group into smaller groups such that every group will have an equal number of items.
We have,
Finding quotient for each expression.
1.
4 2/3 ÷ 7/9
= 14/3 ÷ 7/9
= 14/3 x 9/7
=6
2.
9 ÷ 3/2
= 9 x 2/3
= 6
3.
4 1/2 ÷ 1/2
= 9/2 x 2/1
= 9
4.
21 ÷ 7/3
= 21 x 3/7
= 9
5.
12/7 ÷ 2/7
= 12/7 x 7/2
= 6
6.
72/7 ÷ 8/7
= 72/7 x 7/8
= 9
Thus,
Expression having quotient 6:
- 4 2/3 ÷ 7/9
- 9 ÷ 3/2
- 12/7 ÷ 2/7
Expression having quotient 9:
- 4 1/2 ÷ 1/2
- 21 ÷ 7/3
- 72/7 ÷ 8/7
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2x + x - 4y simplify by combining like terms
0.3 centimeters= ?meters
Which function is a phase shift of y=sin \theta by 5 units to the left?
(A) y=5 sinθ (C) y=sin (θ+5)
(B) y=sinθ+5 (D) y=sin 5 θ
Answer:
C.
Step-by-step explanation:
C describes theta moving +5 units. In math, negative goes left, negative goes left. However, since there are no negative values involved, we can assume that theta will move 5 units to the left in terms of absolute value, which excludes the need for the negative to be moved left. Therefore, the answer is C due to this change.
I hope this helps, let me know if anything confuses you, and I will try my best to make it less confusing.
Adi has a dentist appointment at 09:10 am.
He gets to the dentist's surgery at 08:56 am.
How many minutes early is he?
Answer:
Step-by-step explanation: 14 minutes
31.4 rounded to the nearest tenth of a centimeter
Answer: 31.4
Step-by-step explanation:
the four is in the tenth place and we are rounding to that place.
The given decimal number is rounded to the nearest tenth as 31.4.
The given decimal number is 31.4.
Rounding a number means the process of making a number simpler such that its value remains close to what it was. The result obtained after rounding off a number is less accurate, but easier to use. While rounding a number, we consider the place value of digits in a number.
Here, in 31.40 digit in the hundredths place is 0, which is less than 5.
So, the digit in the tens place remain same and digits after tens place becomes zero.
That is, 31.4
Therefore, the given decimal number is rounded to the nearest tenth as 31.4.
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Find the sum 3/5+(-1/5)
Solving the Question
Whenever we add or subtract fractions, we have to first ensure that the denominators of the fractions are the same. In this case, they are, so we don't have to go out of our way to find a common denominator.
[tex]\dfrac{3}{5}+(-\dfrac{1}{5})[/tex]
Now, let's open up the parentheses:
[tex]\dfrac{3}{5}-\dfrac{1}{5}[/tex]
Subtract only the numerators:
[tex]\dfrac{2}{5}[/tex]
Answer[tex]\dfrac{2}{5}[/tex]
Can someone please explain this to me I need help asap
The value of x in the mean is 53.
How to calculate the value?The total values of the numbers will be given as:
= 50 × 5
= 250
Therefore, the last number represented by x will be:
= 250 - (55 + 45 + 53 + 44)
= 250 - 197
= 53
Therefore, the value of x is 53.
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Which of the binomials below is a factor of this expression?
100A²-498²
OA. A+ 7B
OB. 10A+7B
OC. A + B
OD. 10A+B
Answer: B. 10A + 7B
Step-by-step explanation:
To find the correct binomial, we will factor the given expression. I assume that by "-498²" you mean "-49B²".
This is a difference of squares:
(10A + 7B)(10A - 7B)
The binomial 10A + 7B is an answer option, so our answer is:
B. 10A + 7B
rewrite the equation in standard form (y=ax^2+bx+c)
y=3(x-5)^2 +1
please show and explain steps, thanks
It should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
How o illustrate the information?It should be noted that the information is that we should rewrite the equation y=3(x-5)² +1 in another form.
This will be illustrated as:
y = 3(x-5)² + 1.
It should be noted that (x - 5)² will be:
= (x - 5)(x - 5)
= x² - 5x - 5x + 25
= x² - 10x + 25
y = 3(x-5)² + 1.
y = 3(x² - 10x + 25) + 1
y = 3x² - 30x + 75 + 1
y = 3x² - 30x + 76
In conclusion, it should be noted that rewriting the equation y=3(x-5)² +1 in another form is y = 3x² - 30x + 76.
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How to figure out what to do HCF or LCM
Answer: To find the HCF, find any prime factors that are in common between the products. Each product contains two 2s and one 3, so use these for the HCF. Cross any numbers used so far off from the products. To find the LCM, multiply the HCF by all the numbers in the products that have not yet been used.
Step-by-step explanation:
What is the amplitude of y = 3sin4θ ? (F) 4/3 (G) 3 (H) 4 (I) 2π
Answer:
a sin(bθ−c)+d
→ Using this, find the amplitude based off of the given formula. Use the expression as a reference to help you identify a.
a = 3
b = 4
c = 0(no defined value)
d = 0(impossible to identify)
→ Find a.
→ Since a is already given, we know that a = 3, therefore, the amplitude is 3
Answer the following questions.
口
1) Choose the correct answer.
Which set of numbers are integers but not whole numbers or natural numbers?
O{0, 1, 2, 3}
O {√1,√√4,√-5}
O{-2, -3, - 4}
01 11
2'4'8)
0 {/1/2
}}
O {√2, T, √3}
The set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
From the question, we are to determine the set of numbers that are integers but not whole numbers or natural numbers
An integer is a number with no decimal or fractional part and it includes negative and positive numbers, including zero. E.g -5, -13, 5, 0, -3, 78, 15, etc
Whole numbers is a collection of all the basic counting numbers and 0. E.g 0, 1, 2, 3, 4, 5 etc
Natural numbers are the numbers that start from 1 and end at infinity. E.g 1, 2, 3, 4, 5, 6, etc
Hence, the set of numbers that are integers but not whole numbers or natural numbers is {-2, -3, -4}
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Write each expression as a single natural logarithm. 4 ln 8+ln 10
Expression as a single natural logarithm is ln 64/64 = ln 1.
ln 1 is the converted from 2 ln 8-3 ln 4 to a single natural logarithm.
We need to convert 2 ln 8-3 ln 4 as a single natural logarithm.
First apply power property
⇒ ln 8² - ln 4³
⇒ ln 64 - ln 64
Now, applying quotient property
⇒ ln 64/64 = ln 1
Here, we finally converted 2 ln 8-3 ln 4 to a single natural logarithm ln 1.
What is natural logarithm?The inverse of an exponential function, the natural log is the logarithm to the base of the number e. Natural logarithms are unique varieties of logarithms that are employed in the treatment of time and growth-related issues.
The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
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If n is a negative number and p is a positive
number, which of the following is the greatest?
A. n-p
B. np
C. np^2
D. p-n
E. pn^3
Answer:
The answer is n-p
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