From the rules of transformation;
To get the function g, shift f upwards by 1 unit.
What is the transformation of the function?
Transformations simply takes the basic function and transforms it to another function.
The rules of transformation are;
f(x) transformed to f(x) + a means that the function will be moved 'a' units upwards.f(x) transformed to f(x) - a means that the function will be moved 'a' units downwards.f(x) transformed to f(x + a) means that the function will be moved 'a' units to the left.f(x) transformed to f(x - a) means that the function will be moved 'a' units to the rightNow, we want to transform f(x) = |x| into g(x) = |x| + 1
This means from the rules of transformation above, we can say that;
To get the function g, shift f upwards by 1 unit.
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find the compound interest 316,000 naira in 3yrs if the interest rate is 5% per annum
Answer:
the compound interest will be 365,809.5 naira.
Simplify m^9m^−3??? thanks need this answer asapppp
Answer:
[tex]\sf \bf m^6[/tex]
Step-by-step explanation:
Exponent law:In exponent multiplication, if bases are same, add the powers.
[tex]\sf \boxed{\bf a^m*a^n =a^{m+n}}[/tex]
[tex]\sf m^9 * m^{-3}=m^{9 +(-3)}[/tex]
[tex]\sf = m^{6}[/tex]
4(5x+1)-3x
i need help solving this
Answer:
17x + 4
Step-by-step explanation:
Distribute: 4(5x + 1) - 3x
20x + 4 - 3x
Combine like terms: 20x + 4 - 3x --> 17x + 4
Hope this helps! :')
The product of 15 and √2 can be expressed as
15√2. Which of these is a true statement
about the expression 15√2?
Answer:
The alternative form would be ≈ 21.213203
Step-by-step explanation:
In the picture below, which line segment is parallel to AD.
a. BC
b. EB
c. EH
d. CD
In the cuboid, the line segment parallel to AD is BC as they both lie on same plane and are directed in same direction.
What are parallel lines?Two lines are said to be parallel if they lie on the same plane and are directed towards the same direction.
Given in the question is a labelled cuboid.
From the definition of parallel lines, they should lie on the same plane. Therefore, we will eliminate EB and EH because they don't lie in the plane of AB. CD lies in the plane of AB, but is directed perpendicular to AB. BC is in the same plane in which AB lies and is also directed in the direction of AB.
Therefore, in the cuboid, the line segment parallel to AD is BC.
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8y - 9y = -8 hhhhhhhh
Answer:
-y
Step-by-step explanation:
i did the test
Answer:
Y=8
Step-by-step explanation:
Move all terms that don't contain y to the right side and solve.
Use the distributive property to remove the parentheses. 7(2-x)
3/9 a rational number
Answer:
1 : 3 and/or 3 : 9.Step-by-step explanation:
3/9 can be a rational number.
Let me show you:
3/9= 1 : 3= 3 : 9The Answer and/or 1 : 3 or 3 : 9.
Elena elaboró un prisma de plástilina cuya base mide 4cm de largo por 2 cm de ancho, y su altura es de 8cm cual es el volumen del prisma que construyó? Porfis me urge
Answer:
elena
Step-by-step explanation:
Answer:
Step-by-step explanation:
What is the simplified form of each expression?
b. 11¹/² . 11¹/²
The simplified form of the expression is 11.
Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.
You may also hear the simplest form called "lowest term."
In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:
Combine Like terms
Factoring
Increasing (the opposite of factoring)
Clean out fractions by multiplying
Recognizing a pattern you have seen earlier, just like the difference between squares
Simplify the following:
sqrt(11) * sqrt(11)
sqrt(11) * sqrt(11) = 11:
Answer: 11
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nfs anyone ig lah.cj2x ??????????????????????????????????
Answer:
huh?
Step-by-step explanation:
Write each logarithmic expression as a single logarithm.
log₂ 15- log₂5
According to the question, write the single logarithm of the given logarithmic expression and the expression is as follows:
Expression: [tex]log_{2}15 -log_{2}5[/tex]
Using logarithmic formula that is it divide when subtraction is there: [tex]log(a)-log(b)=log(\frac{a}{b} )[/tex].
Now, the expression can be re-written as:
Expression: [tex]log_{2}15 -log_{2}5=log_{2}(\frac{15}{5} )=log_{2}(3)[/tex]
The solution for the given expression is: [tex]log_{2}(3)[/tex].
What is logarithmic function?
In terms of mathematics, the logarithmic function can be defined as the inverse of exponential function. It is always on the positive side of the ordinate axis.
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translate the equation into a sentence: 3/5 t + 2 = t
Answer:
6t
Step-by-step explanation:
Moshde runs a hairstyling business from her house. She charges $42 for a haircut and style. Her monthly expenses are $1040. She wants to be able to put at least $1,278 per month into her savings account order to open her own salon. How many "cut & styles" must she do to save at least $1,278 per month?
Moshde needs to carry out 55 cuts and style to save at least $1,278 per month
How to calculate the number of cuts required ?Moshde charges $42 per haircut and style
Her monthly expenses is $1040
She wants to save $1278
The number of cuts and styles required is
1040 + 1278 /42
= 2318/42
= 55.2
Hence Moshde need to make 55 cuts and style to save at least $1278 per month
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Help how do I do this ???
Answer:
A.) 2(-2) -y=10
-4-y= 10
+4 +4
-y=14
/-1 /-1
y= -14
B.) 2(0)-y=10
-y=10
/-1 /-1
y=-10
C.) 2(2)-y=10
4-y=10
-4 -4
-y = 6
/-1 /-1
y=-6
Find the sum of E = [3 4 7] and the additive inverse of G = [-2 0 5].
Answer:
[ 5 4 2 ]
Step-by-step explanation:
Interest Suppose you deposit $ 2000 in a savings account that pays interest at an annual rate of 4 % . If no money is added or withdrawn from the account, answer the following questions.
a. How much will be in the account after 3 years?
There will be $ 2249.728 in the account after 3 years .
Simple Interest : Each year interest is calculated on the principal amount ( the amount that was deposited initially ) .
Simple Interest = ( P * R * T ) / 100
P ( principal amount ) = 2000
R ( Rate of Interest ) = 4
T ( No . of years for which amount is deposited ) = 3
Substituting values
Simple Interest = ( 2000 * 4 * 1 ) / 100
= 80
Amount in account after 1 yr = 2000 + 80
= $ 2080
In second year amount will be = 2080 + [ ( 2080 * 4 * 1 ) / 100 ]
= 2080 + 83.2
= $ 2163.2
After three yrs . amount in account = 2163.2 + [ ( 2163.2 * 4 * 1 ) / 100 ]
= 2163.2 + 86.528
= $ 2249.728
Hence , there will be $ 2249.728 in the account after 3 yrs .
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Reasoning. If you multiply two decimals that are less than 1, can you predict wherer the product will be less than or greater than either of the factors? Explain.
The product is smaller than the factors of the product.
What can we predict about the product?Let's say that we have two real positive numbers A and B.
If we define 0 < A < 1
Then when we multiply A and B (a real positive number) we will have that:
A*B < B
So the value of B is decreased.
Now, if both numbers are in that range:
0 < A < 1
0 < B < 1
We will have that:
A*B < B
A*B < A
So the product is smaller than A and smaller than B, which are the factors of the product.
So the product is less than both of the factors.
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I need help with a geometry triangle problem, the question is, find the value of x
Answer:
17
Step-by-step explanation:
We can tell this is a right angle (90 degrees) by the square drawn in the angle.
So this becomes a two-step equation.
4x+22=90
4x+22-22=90-22
4x=68
4x/4=68/4
x=17
For the following geometric sequence find the recursive formula.
(1, -3, 9, ...)
an-3-an-1 where a₁ = 1
Oan= (-3) -1
an=-3-an-1 where a₁ = -1
an=-1-(-3) -1
Answer: the 2nd one
Step-by-step explanation: first term (a1) is -1
recursive formula goes like this
is the nth term
is the term before that
we normally have
we see each term is multipying by -3 to get next one
so that would be
where a1=-1
the 3rd option is correct except that it is the explicit formula
so answer is 2nd one.
Answer:
45
Step-by-step explanation:
run plus duck equals to the implement
Amir has 3 jars of sweets jar a contains 205 sweets jar c contains 175 sweets jar a has the most sweets and jar c has the least number of sweets how many sweets could be in jar b expain how you know this
Answer:
Step-by-step explanation:
well jar b's amount of sweets must be between 205 and 175
Please help again i'm stuck
Answer:
im jk wdf is this goodluck
A square has an area of 90 square inches. Which two consecutive integers does a side length of the square fall between?
The two consecutive integers in which the side length of the square fall between is 9 and 10
The formula for the area of a square is given as follows:
A = (s)²
where A = area of square
s = length of side of a square
According to the question we have been given that
the area of square = 90 inch²
Now putting the required values in the formula of area we get
(s)² = 90
Taking square root both sides we get
s = √90
As 90 is not a perfect square but it lies between two perfect squares which are 81 and 100.
As √81 = 9 and √100 = 10
Now, √81 ≤ √90 ≤ √100
⇒ 9 ≤ √90 ≤ 10
Hence two consecutive integers such that the side length of the square fall between is 9 and 10
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Name the property of real numbers illustrated by the equation. 2. 3(3. 4. 12. 9)=(2. 3. 3. 4)(12. 9)
The property of real numbers illustrated by the given equation is associative property of multiplication.
Associative property states that the number in an equation can be grouped together in any way without the total value of the result changing. There are two types of associative property.
1. Associative property of addition which is given by:
(a+b)+c=a+(b+c)
2. Associative property of multiplication which is given by:
(ab)c=a(bc)
Associative property of multiplication states that the way factors are grouped in a multiplication equation does not change its product.
As the given equation 2. 3(3. 4. 12. 9)=(2. 3. 3. 4)(12. 9) contain multiplication operation, the property of real numbers illustrated is associative property of multiplication.
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select the correct answer. the distance versus time plot for a particular object shows a quadratic relationship. which column of distance data is possible for this situation?
column A is the correct answer.
The distance versus time plot for a particular object shows a quadratic relationship. Which column of distance data is possible for this situation? Time (s) A. Distance (m) B. Distance (m) C. Distance (m) D. Distance (m) E. Distance (m) 0 0 2.00 9.00 ‡ ‡ 1 1.00 4.00 18.00 1.00 1.00 2 4.00 6.00 27.00 0.50 0.25 3 9.00 8.00 36.00 0.33 0.11 4 16.00 10.00 45.00 0.25 0.06 5 25.00 12.00 54.00 0.20 0.04 6 36.00 14.00 63.00
A quadratic relation means one variable is proportional to the square of the other variable.
for this problem, distance and time will be proportional to the following equation
d = kt² or t = kd²
where k is a (constant).
when y look at column A closely. The numbers are all perfect squares: 1, 4, 9, 16...
This means d = kt² with k=1:
at t = 0, d = 1 x 0² = 0
at t = 1, d = 1 x 1² = 1
at t = 2, d = 1 x 2² = 4
at t = 3, d = 1 x 3² = 9
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The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1). How many possibilities are there for the position of the fourth vertex? What are coordinates of the fourth vertex?
The fourth coordinate for the given parallelogram are going to be (5, 7).
According to the statement
We have to find that the coordinate of the parallelogram.
So, For this purpose, we know that the
A parallelogram is a quadrilateral with opposite sides parallel
From the given information:
The coordinates of three of the vertices of parallelogram ABCD are A(2, 0), B(4, 3), C(3, 1).
Then
Now,
The slope of AB = Slope of CD
(y - 5)/(x - 11) = (1 - 3)/(8 - 2)
6(y - 5) = -2(x - 11)
⇒ 6y + 2x = 52 are going to be the primary equation.
Now,
The slope of BC = Slope of AD
[(y - 3)/(x - 2)] = [(5 - 1)/(11 - 8)]
[(y - 3)/(x - 2)] = 4/3
3(y - 3) = 4(x - 2)
⇒ 3y - 4x = 1 are the second equation.
Now, By substitution
x = 5 and y = 7
Hence, The fourth coordinate for the given parallelogram are going to be (5, 7).
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A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If Ian has a 30-gallon tank, predict how many inch-long fish he can have.
inch-long fish
Determine whether each logarithm is a common logarithm.
C. (log₁₀100)
Yes , the given logarithm is a common logarithmic.
A base 10 logarithm is a common logarithm.It is also known as decimal logarithm and is named after its base. It is also known as the Briggs logarithm, and the "standard logarithm", after Henry Briggs, the English mathematician who pioneered its use.Calculators usually say "logarithm", but mathematicians usually mean the natural logarithm (the logarithm with base e ≈ 2.71828), not the common logarithm when writing "logarithm". To reduce this ambiguity [tex]log_{10}x[/tex] should be written lg(x) and [tex]log_ex[/tex] must be ln(x).We have given an logarithm function which is [tex]log_{10}100[/tex] ..... (1)
As , we can see that this log has a base of 10 so , it is a common logarithm.
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When making lasagna, Mr. Singleton uses 1 pound of sausage for every 3/4 of a pound of mozzarella cheese. For a dinner party, Mr. Singleton wants to make an extra lasagna with 1 pound of mozzarella cheese. How much sausage will he need?
Using ratio we can calculate that Mr. Singleton used approximately 1.33 pounds of sausage .
A ratio demonstrates how frequently one number is found within another. For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.
A ratio can therefore be thought of as an ordered pair of integers, a fraction with the first number in the numerator and the second in the denominator, or as the value represented by this fraction. Ratios of counts that are expressed in terms of (non-zero) natural numbers are rational numbers and occasionally natural numbers as well. The ratio of two numbers is a dimensionless number when they are measured using the same unit, which happens frequently. A rate is the product of two quantities that are divided by their respective units of measurement.He uses 1 pound sausage for every 3/4 pound of cheese.
Ratio of sausage to cheese = 1 : 0.75 = 4 : 3 .
Now he uses 1 pound of cheese therefore let he uses x pounds of sausage.
Now using ratio:
x : 1 = 4 : 3
or , x / 1 = 4 / 3
or, x = 1.333..
or, x ≈ 1.33 pounds
Hence he uses 1.33 about pounds of sausage
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Simplify each radical expression. Use absolute value symbols when needed. ∛64 x⁶
The correct answer of the given expression is 4x².
A formula is a statement containing at least two numbers/variables and at least one mathematical operation. An expression is a combination of terms combined by mathematical operations such as subtraction, addition, multiplication, and division. The terms that appear in the formula are:Constant: A constant is a fixed number.Variables: Variables are symbols that do not have fixed values.Term: A term can be a single constant, a single variable, or a combination of variables and constants combined with multiplication or division.Coefficient: A coefficient is a number that is multiplied by a variable in an expression.It is given that ∛64 x⁶
On simplifying , we get
= ∛4³(x²)³
= 4x²
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