Which function represents a horizontal shift of f(x)=5^x by 4 units to the right?
Answer: [tex]g(x)=5^{x-4}[/tex]
Step-by-step explanation:
When a function f(x) is shifted horizontally by n units to the right , the new function will become :-
[tex]g(x)=f(x-n)[/tex]
The given function : [tex]f(x)=5^x[/tex]
Now, if the given function shifted 4 units to the right , then the new function will become :
[tex]g(x)=f(x-4)[/tex]
[tex]g(x)=5^{x-4}[/tex]
Hence, the function represents a horizontal shift of [tex]f(x)=5^x[/tex] by 4 units to the right will be :-
[tex]g(x)=5^{x-4}[/tex]
36 is 12% of what number?
1. Kim's age is twice that of her sister. When you add Kim's age to her sister's age, you get 36. How old is each sister? You must complete all sections of this questions to receive full credit.
(a) Write an equation that represents the situation. Explain any variable used.
(b) Solve the equation from Part (a). Show your work. State your solution as a complete sentence.
HELP I SUCK SO BAD AT MATH ITS DUE TOMORROW!!!!!
It's # 11,12,13,14,17, and 18
Thanks
A gardener is attempting to put a fence around a rectangular garden. The total length of the fence is 30 feet. The width of the garden is 3 ft longer than the length. What are the length and width of the garden?
You buy 3.8 pounds of trail mix. The mix costs $2.78 per pound. What is the total price for the trail mix?
Is every isosceles triangle equilateral? Is every equilateral triangle isosceles? Explain
the state sales tax in new york is 4.25. Jean spends $208 at a department store
15 POINTS!!!
A third-degree polynomial has 4 intercepts. A third-degree function can have as many as 3 zeros only. Is there a way for both statements to be correct? Explain your answer.
turn 4b-2 into a word phrase
Sven is trying to find the maximum amount of time he can spend practicing the five scales of piano music he is supposed to be working on. He has 70 minutes to practice piano and would like to spend at least 55 minutes playing songs instead of practicing scales. So, Sven sets up the following inequality, where t is the number of minutes he spends on each scale, and solves it.
70 − 5t ≤ 55
−5t ≤ −15
t ≥ 3
Sven has concluded that he should spend 3 minutes or more on each scale. Is this correct? If not, what mistake did he make? Then solve for the correct answer.
Answer:
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Step-by-step explanation:
Let
t ------> is the number of minutes he spends on each scale
Remember that the phrase "at least" is equal to "greater than or equal"
so
The inequality that represent this scenario is
[tex]70-5t \geq 55[/tex]
solve for t
[tex]-5t \geq 55-70[/tex]
[tex]-5t \geq -15[/tex]
Multiply by -1 both sides
[tex]5t \leq 15[/tex]
Divide by 5 both sides
[tex]t \leq 3[/tex]
Sven is incorrect
He should spend 3 minutes or less on each scale
Sven made a mistake in the symbol of inequality, placing lesser or equal instead of greater or equal
Answer:
i dont think he made a mistake
Step-by-step explanation:
lmk if you need an explanation
The circle with center (1,5) and radius 4 has equation
How to simplify 6/18
The simplified form of [tex]\frac{6}{18}[/tex] is [tex]\frac{1}{3}[/tex].
To simplify the fraction [tex]\frac{6}{18}[/tex], follow these steps:
Find the greatest common divisor (GCD) of the numerator and the denominator. The numerator is 6 and the denominator is 18. The greatest common divisor of 6 and 18 is 6.
Divide both the numerator and the denominator by their GCD.
When we divide the numerator 6 by 6, we get [tex]\frac{6}{6} = 1[/tex].
When we divide the denominator 18 by 6, we get [tex]\frac{18}{6} = 3[/tex].
Write the simplified fraction: After dividing both parts by 6, the fraction [tex]\frac{6}{18}[/tex] simplifies to [tex]\frac{1}{3}[/tex].
Rose's stamp collection is 7 less than half of Van's stamp collection, x.
Which expression represents the total number of stamps that Rose has?
The expression representing Rose's stamp collection is given by R = (1/2)x - 7. It denotes that Rose's collection is 7 less than half of Van's stamp collection, where x represents the total number of stamps in Van's collection.
Let's denote Van's stamp collection as x. According to the given information, Rose's stamp collection is 7 less than half of Van's stamp collection.
Expression for Rose's stamp collection (R):
R = (1/2)x - 7
Here's the breakdown of the expression:
(1/2)x represents half of Van's stamp collection.
-7 signifies 7 less than half of Van's stamp collection.
This expression encapsulates the relationship between Rose's stamp collection and half of Van's collection, diminished by 7.
What's the prime factorization of 105
The prime factorisation of 105 is therefore 3 * 5 * 7.
Prime factorizationWe can factorize 105 into its prime factors by dividing it by prime numbers up to the point when we can no longer divide it. Here is how it works:
Divide 105 by the following prime number, 3, for a result of 35.
35 divided by the following prime number, 5, yields a result of 7 that is:
35/5 = 7
The seventh prime number has been reached. The prime factorisation of 105 is therefore 3 * 5 * 7.
Thus, 3 * 5 * 7 is the prime factorization of 105.
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25 is 10% of what number ?
11 is what percent of 55 ?
*****please explain*****
how do you put 4.110 in words
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold?
Answer:
There are 15 boxes of 10 oz boxes
Step-by-step explanation:
Let the number of boxes of 10 oz = x
and let the number of boxes of 16 oz = y
By the statement
"Total number of boxes sold is 24"
Equation for the statement will be
x + y =24 ---------------(1)
By the statement
"she collected $97.50 while rate of 10 oz box is $3.50 and rate of 16 oz box is $5.00."
Equation for the statement will be
1.5x + 5y = $97.50 ------------(2)
From equation (1) we put the value of y = 24 - x in equation (2)
1.5x + 5(24 - x) = 97.50
1.5x + 120 - 5x = 97.50
-3.5x = 97.50 - 120
3.5x = 22.50
x = [tex]\frac{22.5}{1.5}[/tex]
x = 15
Therefore, number of 10 oz boxes is 15.
Explain the process for finding the product of two integers
Kenya has 2 hours to make a 104 mile trip. What rate must she average to make the trip in 2 hours? A) 50 mph B) 51 mph C) 52 mph D) 53 mph
Jermey drew a polygon with four right angles and four sides with the same length . Name all the polygons that he could have drawn
Two cars on a roller coaster hold 14 riders combined. If 12 cars are linked together, how many riders can fit on the roller coaster at one time? Explain how to solve this problem.
Answer:
The rate of riders to cars is 14 divided by 2. So the unit rate is 7 riders per car. Multiply 7 riders by 12 cars to find that 84 riders can fit on the roller coaster at one time.
ten less than five times a number cubed
Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.
How to convert the sentence into an expression?The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.
Ten less than five times a number cubed.
Let the number be 'x'. Then the cube of the number x will be x³.
Then the five times a number cubed will be given as,
5x³
Ten less than five times a number cubed. Then the expression is given as,
⇒ 10 - 5x³
Ten less than five times a number cubed in the mathematical from will be 10 - 5x³.
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what is the answer to this: find three whole numbers, such that when inserted into the equation below, the value of x=6,
ax+b=c
Perform the indicated operation. 2/3 - 5/8
1. 5/12
2. 5/6
3. 1/24
why are there 9 square feet in a square yard
What do you add to 2 3/8 to make 6
The number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].
We need to find what we need to add to [tex]2\frac{3}{8}[/tex] to make 6.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
The fraction [tex]2\frac{3}{8}[/tex] can be written as 19/8
Let x be the number added to given fraction, that is
19/8 +x=6
⇒ x=6-19/8
⇒ x= (48-19)/8
⇒ x= 29/8
⇒ x= [tex]3\frac{5}{8}[/tex]
Hence, the number must be added to [tex]2\frac{3}{8}[/tex] to make 6 is [tex]3\frac{5}{8}[/tex].
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Which expression is equivalent to −1.3+(−4.9)+(−2.6) ?
A −(1.3−4.9)+(−2.6)
B −1.3−(4.9+2.6)
C −1.3+(4.9+2.6)
D (1.3+4.9+2.6)
Answer:
B −1.3−(4.9+2.6)
Please mark me as brainlyistAnswer:
-1.3-(4.9+2.6)
I
A bus is 4 1/3 metres tall. A bridge is 5 7/9 metres above the road. How much space is there between the bus and the bridge?
5 7/9 - 4 1/3
covert 1/3 to 9ths 3 x 3 = 9 so 1/3 = 3/9
5 7/9 - 4 3/9 = 1 4/9 meters
Como resolver 2a(ab+b)-b (3x+a2) eliminando os parenteses