Simplify [tex]\frac{8(x+3)^{2}}{2(x+3)}[/tex]
evaluate the expression a²-2b when a=5 and b = 3
Answer: 3
Step-by-step explanation: i just did the lesson :)
a rectangular sandbox has a width of 15 ft and a length of X feet which expression represents the perimeter of the sandbox
Answer:
2x + 30
Step-by-step explanation: I took the test
2x + 30 is the representation of the perimeter of the sandbox.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
Area of rectangle = length × width.
Perimeter of rectangle = 2( length + width).
The perimeter of a rectangle is given by
⇒ 2( length + width)
So,
Perimeter = 2(X + 15)
Perimeter = 2x + 30
Hence "2x + 30 is the representation of the perimeter of the sandbox".
For more about rectangles,
https://brainly.com/question/15019502
#SPJ2
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away. Which equation could be used to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours? A. |4 + 65h| = 200 B. |200 − 65h| = 4 C. |65 − 4h| = 200 D. |200 − 4h| = 65
Answer:
|200-65h|=4
Step-by-step explanation:
The required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h | = 4. Option B is correct.
Given that,
A train is moving at a rate of 65 miles/hour toward a railroad marker located 200 miles away.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Let the time be h and the distance traveled by train in time h is 65h.
Since at time h the distance between the train and rail road maker is 4 miles,
So the expression can be given as train traveled 65h distance to reduce the distance of 200 miles to 4 miles
| 200 - 65h | = 4
MODULUS is used because distance can never be negative.
Thus, the required equation to find the time it will take for the distance between the train and the railroad marker to be 4 miles apart, where h represents the time in hours is | 200 - 65h | = 4.
Learn more about distance here:
brainly.com/question/15172156
#SPJ2
w(w + 5) + 2(w + 5)
Property ?
What is the solution to the compound inequality 3x - 8≤ -5 or 2x – 7 > 5?
Answer:
Step-by-step explanation:
3x - 8 ≤ -5
3x ≤ 3
x ≤ 1
or
2x - 7 > 5
2x > 12
x > 6
x ≤ 1 or x > 6
What does it mean to be self-reliant?
What is x? x−3/7=4 ty :)
Answer:
x=4 and 3/7, or 31/7. Unless you forgot to put parenthesis in the question.
Step-by-step explanation:
x-3/7=4
x=4+3/7
x=4 and 3/7 or 31/7
If the question was (x-3)/7=4, the answer would then be x=31.
(x-3)/7=4
x-3=4*7
x-3=28
x=31
Answer:
x=31/7
Step-by-step explanation:
x−3/7=4
x=3/7+4
x=3/7+28/7
x=31/7
Ben's favorite deli says the average serving time is 12 minutes. Ben notices that the wait time at the deli varies at different times of day, before and after noon. His observations when the wait time is as advertised can be represented by the equation 2|x − 2| − 12 = 0. Solve for the times when the serving time is as advertised, relative to noon.
Answer:
Step-by-step explanation:
Given Ben's observations when the wait time is as advertised represented by the equation 2|x − 2| − 12 = 0, to get the times when the serving time is as advertised, relative to noon, we will calculate for the value of x in the equation;
Note that the modulus of the function |x-2| will return both positive and negative value.
For the positive value of |x-2|;
2|x − 2| − 12 = 0
2(x − 2) − 12 = 0
open the parenthesis
2x-4 - 12 = 0
2x - 16 = 0
add 16 to both sides
2x-16+16 = 0+16
2x = 16
x = 16/2
x = 8
For the negative value of |x-2|;
2|x − 2| − 12 = 0
-2(x − 2) − 12 = 0
open the parenthesis
-2x+4 - 12 = 0
-2x - 8 = 0
add 8 to both sides
-2x-8+8 = 0+8
-2x = 8
x = -8/2
x = -4
Hence the times when the serving time is as advertised, relative to noon are 8minutes and 4minutes
Answer:
(8.-4)
Step-by-step explanation:
what is 456.2 in scientific notation
Answer:
4.562 × [tex]10^{2}[/tex]
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Answer
Step-by-step explanation:
Plzzzzzzzz help with problem
If [tex]f(x)=x^2-2[/tex] and [tex]g(x)=3x[/tex], what is [tex](f\circ g)(2)[/tex]?
Answer:
[tex]\boxed{f(6) = 34}[/tex]
Step-by-step explanation:
Composition of functions occurs when we have two functions normally written similar or exactly like f(x) & g(x) - you can have any coefficients to the (x), but the most commonly seen are f(x) and g(x). They are written as either f(g(x)) or (f o g)(x). Because our composition is written as [tex](f \circ g)(2)[/tex], we are replacing the x values in the g(x) function with 2 and simplifying the expression.
[tex]g(2) = 3(2)[/tex]
[tex]g(2) = 6[/tex]
Now, because we are composing the functions, this value we have solved for now replaces the x-values in the f(x) function. So, f(x) becomes f(6), and we use the same manner as above to simplify.
[tex]f(6) = (6)^2-2[/tex]
[tex]f(6) = 36-2[/tex]
[tex]f(6) = 34[/tex]
Therefore, when we compose the functions, our final answer is [tex]\bold{f(6) = 34}[/tex].
Answer:
[tex]\large\boxed{34}[/tex]
Step-by-step explanation:
[tex]f(x) = x^2 - 2[/tex]
[tex]g(x) = 3x[/tex]
[tex](fog)(2)[/tex]
Find g(2)
[tex]g(x) = g(2)[/tex]
[tex]x=2[/tex]
[tex]3x = 3(2) = 6[/tex]
[tex]g(2) = 6[/tex]
Find f(6)
[tex]f(x) = x^2-2[/tex]
Substitute
[tex]f(6) = x^2 - 2[/tex]
[tex]x^2 - 2 = 6^2 - 2[/tex]
[tex]36 - 2 = 34[/tex]
[tex]\large\boxed{34}[/tex]
Hope this helps :)
what is the sum of ( x-5) + ( 2x + 7)
Answer: 3x+2
Step-by-step explanation:
(x-5) + ( 2x + 7)
x−5+2x+7
(x+2x)+(−5+7)
3x+2
Answer:
x+2x-5+7. x+2x=3x. and -5+7=2
3x+2
Step-by-step explanation:
Find the GCF of the numbers 45 and 76 using lists
of factors.
Answer:
The factors of 45 are: 1, 3, 5, 9, 15, 45
The factors of 76 are: 1, 2, 4, 19, 38, 76
Then the greatest common factor is 1.
Step-by-step explanation:
There are no common factors other than 1
Answer:
the GCF is 1
trust me when i say this
The function g(x) = 3x + x is an odd function. Which transformations of g(x) would result in odd functions? Check all
that apply
0-9(x)
g(2x)
g(x - 1)
g(x) - 3
Og(-x)
Answer:
-g(x),g(2x),g(-x)
Step-by-step explanation:
Solve the triangle if C = 120°, B = 50°, and c = 15.
Find A.
Round to the nearest tenth.
Answer:
A = 10°a = 3.0b = 13.3Step-by-step explanation:
The law of sines is useful. First we need to find the remaining angle.
A + B + C = 180°
A = 180° - B - C = 180° -50° -120°
A = 10°
Now we can find the other two sides.
a/sin(A) = c/sin(C)
a = c(sin(A)/sin(C)) = 15(sin(10°)/sin(120°)) ≈ 3.00767 ≈ 3.0
b/sin(B) = c/sin(C)
b = c(sin(B)/sin(C)) = 15(sin(50°)/sin(120)) ≈ 13.2683 ≈ 13.3
___
The solution is A = 10°, a = 3.0, b = 13.3.
Your bill at Applebee's is $23.92, You
would like to leave an 18% tip. How
much is the total cost including tip?
Answer: Twenty-Five Dollars
Is √3,600 rational or irrational? Please help asap.
Answer:
[tex]\sqrt{3600}[/tex] is rational
Step-by-step explanation:
A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The answer of square root of 3600 is 60 which is not a decimal or an irrational number and therefore it's rational
best answer get brainiest
Answer:
-2
Step-by-step explanation:
-7 + 5. This is an easy question, you see, you could do this the other way (+) 5 - 7 = ? || All you have to do is start on the number line, -7, and count five in the positive, or "not negative", direction.
On a long-distance biking trip, annike started biking at 7 a.M., and her average speed was 11 miles per hour. Celia started at 8 a.M., and her average speed was 14 miles per hour
Answer:
3.67 hours
Step-by-step explanation:
Speed is the ratio of distance to time, it is given by the formula:
Speed = Distance / time
For annike her average speed was 11 miles per hour and she started at 7 am.
At 8 am (time = 1 hr i.e 7 am to 8 am) the distance she would have covered is given as:
11 miles/hr = distance / 1 hr
Distance = 11 miles per hr × 1 hr = 11 miles
After 8 am, the distance traveled at time t is:
11 = distance/t
distance = 11t
Total distance = 11t + 11
For Celia she started at 8 am at 14 miles per hour, at time t, the distance traveled is:
14 = distance/t
Distance = 14t
Given that both bikers traveled the same distance, hence:
14t = 11t + 11
3t = 11
t = 11/3
t = 3.67 hours
Leah scored 35 points in a basketball game and she scored x points in the
first half of the game. Write an expression to determine the number of
points she scored in the second half of the game. Then, find the number
of points she scored in the first half of the game if she scored 17 points in
the second half of the game.
x = # of points scored in the first half of the game
35 - x <---- This expression tells us how many points Leah scored in the second half of the game.
Leah scored 17 points in the second half of the game, let's set our expression equal to 17
35 - x = 17
Subtract 35 from both sides
-x = -18
Divide both sides by -1
x = 18
Leah scored 18 points in the first half of the game.
Evaluate 3x/y when x = 10 and y = 5
Answer:
6
Step-by-step explanation:
3x/y
3(10/5)
3(2)
6
Answer:
6
--------------------------
explanation below
----------------------------
3x means you gotta times x 3 times so 10 x 3 = 30. 30 / 5 is 6.
--------------------------------------------------------------------------------------------
this symbol (/) means to divide and a number and the x or whatever letter next to eachother means to multiply. have good day my friends answer is 6
A regulation baseball field measures 90 feet between each base.What is the distance around the bases in meters?
Answer:
360 ft
Step-by-step explanation:
to find the total distance between the bases, you would multiply 90 by 4!
if it helps, since there are 4 bases, each of them being the same distance apart, they would make a square. each side of the square would be 90 ft. then find the perimeter! 90×4=360!
Plzzz help me I will give you brainliest Plz try to give both ans if you don't know then just give 11 b ans
Answer:-11a) 1024+5120x+11520x²
11b) 1024+10240y+30720y²
12) p=256,q=-256 & n=8
The recipe of a certain type of rice calls for 2:3 ratio to water . If you need to make 5 cups of rice , how much water should you use ?
Answer:
7 and 1/2 cups of water.
Step-by-step explanation:
Every 2 cups of rice, you need three cups of water. You make this equation, [tex]\frac{2}{3} \frac{5}{y}[/tex] and do cross multiplication to get 2y=15, divide that by two and end up with 7 1/2 cups of water.
Simplify each expression using an exponent rule learned in class. [tex](\frac{y}{x} )^{4}[/tex]
Hey there! I'm happy to help!
If you raise a fraction to an exponent, you apply that exponent to the numerator and the denominator. This would give us [tex]\frac{y^4}{x^4}[/tex].
Have a wonderful day! :D
Since the exponent is outside the fraction, you apply the exponent to both the numerator and denominator.
(y/x)^4 = y^4/x^4
Best of Luck!
4x -5 = 2(2x +1)
I need help
Answer:
No Solution
Step-by-step explanation:
[tex]4x-5=2\left(2x+1\right)[/tex]
Expand:
[tex]4x-5=2* \:2x+2* \:1[/tex]
[tex]4x-5=4x+2[/tex]
Add 5 to both sides:
[tex]4x-5+5=4x+2+5[/tex]
[tex]4x=4x+7[/tex]
Subtract 4x from both sides:
[tex]4x-4x=4x+7-4x[/tex]
[tex]0=7[/tex]
No solution as this is false.
Answer:
0=7 and there is no solution
Step-by-step explanation:
if n represents a number, write an expression for the quantity three less than twice this number divided by the quantity 7 more than the square of this number .
Answer:
(2n / n^2 + 7) - 3 i think
Step-by-step explanation:
hope this helped a little bit :))
The mathematical expression will be (2n / n² + 7) - 3.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that the quantity three is less than twice this number divided by the quantity 7 more than the square of this number.
The required expression will be written as:-
E= (2n / n² + 7) - 3.
Therefore, the mathematical expression will be (2n / n² + 7) - 3.
To know more about an expression follow
https://brainly.com/question/24672369
#SPJ2
How many solutions does the following equation have?
-14(2-5) = -14z + 70
Choose 1 answer:
No solutions
B
Exactly one solution
Infinitely many solutions
87
What is the nearest tenth
Answer:
90
Step-by-step explanation:
You round up to 90........
