Which is the product of 4^4(4^-7)(4)?
Answer:
1/16 or 0.0625
Step-by-step explanation:
we can take 4 outside the parentheses and we would get 4^(4-7+1)=4^(-2)= 1/(4^2)=1/16=0.0625.
Answer:
0.0625
Step-by-step explanation:
[tex]4^{4}[/tex] ( [tex]4^{-7}[/tex] ) (4)
First lets deal with 4^4 which is 256 (4 * 4 * 4 * 4)
256 ( [tex]4^{-7}[/tex] ) (4 )
Then 4^-7 which is [tex]\frac{1}{16384}[/tex] ( this is because when 4^-7 is simplified it becomes 1/4^7 which is 1/16384.
256 ( [tex]\frac{1}{16384}[/tex]) (4)
256 * [tex]\frac{1}{16384}[/tex] * 4= 0.0625
HOPE THIS HELPED
Find the zeros of the polynomial function and state the multiplicity of each. f(x) = 5(x + 7)2(x - 7)3 (2 points)
Answer:
x=-7 has a multiplicity of 2 and x=7 has a multiplicity of 3
Step-by-step explanation:
what is the value of x in 36/45 = x/5
Answer:
x = 4
Step-by-step explanation:
Cancel common factor of 9,
(x/5)=(4/5)
Multiply both sides by 5,
(5x/5)=(20/5)
Simplify to get x = 4
When x is added to its square, the total is 30. Fond the value of x.
(With solution please)
Answer:
[tex]x=\frac{30}{(1+x)}[/tex]
Step-by-step explanation:
step one:
This is a word problem, we need to translate is it to mathematical terms before we solve
"When x is added to its square, the total is 30"
step two:
[tex]x+x^2=30[/tex]
[tex]x+x^2=30\\\\x(1+x)=30\\\\[/tex]
step three:
divide both sides by 1+x we have the value of x as
[tex]x=\frac{30}{(1+x)}[/tex]
In a rectangle, the sides have measurements of 2x + 1 and 3x - 5 units Find an expression for the area of the rectangle, in square units.
Answer:
[tex] (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
Step-by-step explanation:
Area of rectangle = Product of sides
[tex] = (2x + 1) \times (3x - 5) \\ = 2x(3x - 5) + 1(3x - 5) \\ = 6 {x}^{2} - 10x + 3x - 5 \\ area \: of \: rectangle \: \\ = (6 {x}^{2} - 7x - 5) \: {units}^{2} [/tex]
f(x) = 3x + 12x - 5
Answer:
Step-by-step explanation:
Hey There!! ~ （。＾▽＾）
The answer to this is: [tex](- 2, - 7)[/tex]
Explanation: [tex]3x^{2} + 12x 5[/tex]
[tex]y = 3( x + 2)^{2} - 7[/tex]
[tex]3( x + 2) ^{2} - 7[/tex]
[tex]a = 3[/tex]
[tex]h = 2 \ - 7[/tex]
[tex]k = - 7[/tex]
Hope It Helped!~
Good Luck With Your Assignment~
[tex]UsedLess[/tex]~ ✧
g(x) = 2x^2 + x-1, find f(3)
Answer:
the answer is 20
Hope it helps
Jalen bought 24 juice packs for $7.20. Tia bought 6 juice packs for $2.70. Which
statement describes the difference in the unit prices of Jalen's and Tia's juice pack
Answer:
0.15
Step-by-step explanation:
What is 23569 rounded to the nearest ten thousand and thousand?
(4.5+3 5/6 )·0.6 HELP ME PLEASE
Answer:
5
Step-by-step explanation:
Answer:
8.33333333333
Step-by-step explanation:
–7 – (x + 3) = 12
solve for x
Answer:
Step-by-step explanation:
-7 -x - 3 = 12
-x - 10 = 12
-x = 22
x = -22
Solve for x???????????
Answer:
[tex]x=3/2=1.5[/tex]
Step-by-step explanation:
So we have the equation:
[tex]49=7^{2x-1}[/tex]
Note that 49 is the same as 7 squared. Thus:
[tex](7)^2=(7)^{2x-1}[/tex]
Since they now have the same base, the exponents must be equal to each other. So:
[tex]2=2x-1[/tex]
Add 1 to both sides:
[tex]3=2x[/tex]
Divide both sides by 2:
[tex]x=3/2=1.5[/tex]
And we're done!
Tammy wants to burn a total of 300 calories. So far, she has burned 289.3 calories. How many more calories must Tammy burn?
Answer:
10.7
Step-by-step explanation:
300 - 289.3 = 10.7 calories.
Answer:10.70
Step by step explanation
300-289.3=10.70
Which rule would indicate a transformation that is a rotation? *
1 point
A.(x, y) becomes (-x, -y)
B. (x, y) becomes (-x, y)
C. (x, y) becomes (x, -y)
D.(x, y) becomes (y, x)
Point R is on line segment QS. Given QS = 16 and QR = 9, determine the length RS.
Answer:
The length RS = 7
Step-by-step explanation:
Here, we are interested in determining the length of RS
Let’s have the line segment arranged as follows;
Q R S
where QR = 9 and QS = 16
From the arrangement, we can deduce that;
QS = QR + RS
Thus;
RS = QS - QR
RS = 16 -9
RS = 7
Which number line shows the inequality n < -3?
Answer: like he dark line represents all the numbers that satisfy x≤2 . If we pick any number on the dark line and plug it in for x, the inequality will be true. The following graph represents the inequality x < 2 . Note that the open circle on 2 shows that 2 is not a solution to x < 2 .
Step-by-step explanation:
Question 5 Rocko paid $12.50 for 25 game tickets. Louisa paid $17.50 for 35 game tickets. What is the constant of proportionality? Express your answer in decimal form.
Answer: k = $0.50
Step-by-step explanation:
The data that we have is:
Rocko paid: $12.50 for 25 tickets.
Louisa paid: $17.50 for 35 tickets.
Now, the question asks to find the constant of proportionality.
A proportional relation can be written as:
y = k*x
where k is the constant, and in this case, y is the price and x the number of tickets bought.
Then replacing with the values above, we have:
$12.50 = k*25
then:
k = $12.50/25 = $0.50
And the other data:
$17.50 = k*35
K = $17.50/35 = $0.50
So we have the same k in both cases, this means that the constant of proportionality is k = $0.50
Evaluate
5-(x - 2) for x = - 1
5 - ( x - 2 )
substitute -
5 - ( -1 -2 )
step 2 - now solvefirst solve the bracket
5 - ( - 1 - 2 )
therefore,
5 - ( - 3 )
solve
= 8
so the answer is 8hope that helps !
solve 3 ^x/2 * 3^x/4= 3^6
Answer:
i think this is it
Step-by-step explanation:
Brainliest user, virtuoso, and 700+ points in three days? I think i'm pretty smart. Do you think so? Also, please solve for x, 2x-30+2 and explain.
Hey there!
[tex]Answer:\boxed{2x-28}[/tex]
[tex]Explanation:[/tex]
[tex]2x-30+2[/tex]
Let's start off by simplifying.
[tex]2x+-30+2[/tex]
Now let's combine like terms.
[tex]2x+-30+2\\(2x)+(-30+2)\\2x+-28\\2x-28[/tex]
[tex]\boxed{2x-28}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Write the mixed number as a decimal. 83/5
Answer:
Write the mixed number as a decimal. 83/5
16.6
Question 3 of 10 Katerina is making picture frames of various widths for 5x7 photos. The diagram below shows what his picture frames look like. The colored rectangle is the frame with a width of 2 inches on all sides, the inner rectangle is the space for the picture. The polynomial expression 4x2 + 242 + 35 will calculate the total area of the frame and picture together for any value of L. What is the leading coefficient of this polynomial expression?
Answer:
leading co-efficent is 4
Which of the following numbers is divisible by 3 and 7?
O 396
O 399
O 402
O 405
Answer:
399
Step-by-step explanation:
396 is divisible by 3, but not 7.
399 is divisible by 3, and 7.
402 is divisible by 3, but not 7.
405 is divisible by 3, but not 7.
180 miles /2hours find the unit rate in feet per second
Answer:
132 ft per second
Step-by-step explanation:
180 miles in 2 hours
180 miles = 950400 ft.
2 hours = 7,200 secs.
950400 ft in 7,200 secs
Are 12/16 and 6/9 equivalent? Explain your answer.
Answer:
No
Step-by-step explanation:
Times the numerator and denominator by 2. 6 does turn into 12, but 9 doesn't turn into 16. Therefore, these fractions are not equivalent.
Determine if the square root is a rational or irrational number. Answer as R for rational and I for
irrational
Answer:
1- it is irrational
2- it is rational
Simplify the following expression 3(4x+5)+2
Answer:
12x+17
Step-by-step explanation:
3(4x+5)+2
12x+15+2
12x+17
ANSWER:
12x+17=y
Step-by-step explanation:
12x+15+2
12x+17
How do you write the converse of a conditional? How do you Write the contrapositive of a conditional?
Answer:
Converse- If q, then p. Contrapositive- If not p, then not q
Step-by-step explanation:
Let's say your conditional is if an angle is 90 degrees then it is a right angle.
Then the converse is, if an angle is a right angle then it is 90 degrees.
Finally, the contrapositive is if an angle is not 90 degrees then it is not a right angle.
If the last line in your solution is x = 0, how many solutions are there? A) One Solution B) Two Solutions C) No Solutions D) Infinitely many solutions
Answer:
There is one solution.
Step-by-step explanation:
x equals only one number which is 0 so there is one solution if there was like 0 = 0 it would be infinite if it was two different numbers, it would be no solutions.
Let f(x) = 16 - x^2, g(x) = 4 - x. Find (fg)(x) and its domain.
Answer:
(fg)(x) = x^3-4x^2-16x+64, D: All Real Numbers
Step-by-step explanation:
(fg)(x) = f(x) x g(x)
= 16-x^2(4-x)
=64-16x-4x+x^3
(fg)(x) = x^3-4x^2-16x+64
Domain is all real numbers because you can substitute any real number for x and the function would still work.
Thus the value of [tex](fg)(x) = x^3 -4x^2 -16x -64[/tex] , and the domain is a set of real numbers.
The domain is a set of all real numbers because by substituting any value in the equation we only get real numbers.
The function is defined as a relationship between two variables a dependent and an independent variable. A function consists of a domain and a co-domain. The set of codomains is called a range.
Example : [tex]f(x) = 4x+ 3[/tex]
All those values of a set for which a function is defined are called a domain.
According to the question :
[tex]f(x) = 16 - x^2\\ g(x) = 4 - x.[/tex]
[tex](fg)(x) = (16- x^2) (4-x)\\(fg)(x) = [16(4-x) -x^2(4- x)]\\\(fg)(x) = [64- 16x -4x^2+x^3]\\(fg)(x) = x^3 -4x^2 -16 x -64[/tex]
Thus the value of [tex](fg)(x) = x^3 -4x^2-16x-64.[/tex]
Learn more about function here :
https://brainly.com/question/30721594
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