====================================
Work Shown:
(x+1)(2x-3)
y(2x-3)
2xy - 3y
2x( y ) - 3( y )
2x( x+1 ) - 3( x+1 )
2x^2+2x - 3x-3
2x^2 - x - 3
Explanation:
In the second step, I replaced all of (x+1) with y. Afterward, I distributed that y term through. A few steps later, I replaced y with x+1 to help finish up the distributions. You could use the FOIL rule as an alternative approach.
If f (n)= - 3n + 2, what is the value of f(12) ?
Answer:
Step-by-step explanation:
f(n)= -3n + 2
to find :f(12)
substitute 12 in place of n
f(12)= -3*12 + 2
f(12)=-36 + 2
f(12)= -34
The value of the f(12) is equal to -46 where the expression is
f(n) = -3n + 2.
What is an expression?Any mathematical statement which consist of numbers , variables and arithmetic operations is known as expression. An expression gives some numerical value when we put the value of variables in it.
Here, f(n)= -3n + 2 is the given expression.
So, we can find the value of f(12) by putting n=12 in f(n).
Put n=12 in f(n), we get
f(12)= (-3)×12 + 2
= -48 + 2
= -46
Hence, the value of f(12) is -46.
To learn more about expressions click here:
https://brainly.com/question/23940600
#SPJ2
In a carnival game, players get 5 chances to throw a basketball through a hoop. If 7 out of 20 players made all 5 baskets, how many players out of 400 would you expect to make all 5 baskets?
=====================================================
Work Shown:
7/20 = 0.35 = 35% of the 20 players made all five baskets.
If this trend holds up, then we should expect 35% of the 400 people to make all five baskets.
35% of 400 = 0.35*400 = 140
We expect about 140 people will make all five baskets.
Note how 140/400 = 0.35 = 35%
-------------
Through another alternative method, we can solve like this
7/20 = x/400
7*400 = 20*x ... cross multiply
2800 = 20x
20x = 2800
x = 2800/20 ... dividing both sides by 20
x = 140 which is the same result as before
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
[tex]so \: area = \pi \times {r}^{2} \\ = \pi \times {3}^{2} \\ = 9\pi \: {units}^{2} [/tex]
What is f(5) for the function below?
f (x) = 6x – 10
Answer:
20
Step-by-step explanation:
f(5) = 6(5) - 10
= 30-10
=20
when x = 5, y = 20
I'm really lost . can somebody plz help
Answer:
7.5
Step-by-step explanation:
Median = middle number in terms of value
To make it easier to identify the middle number lets list the number from least to greatest
1, 4, 4, 7, 8, 8, 10, 15
Now we can simply find the middle number
We notice that there are two middle numbers as there is an even amount of numbers
Those two numbers being 7 and 8
When finding the median, if there are two middle numbers, you simply add the two numbers together and divide the sum by two to get the median.
So median = 8 + 7 = 15 / 2 = 7.5
Answer:
7.5
Step-by-step explanation:
The median of a set of numbers is the middle number, so we have to order them first from least to greatest. The order would be 1, 4, 4, 7, 8, 8, 10, 15. You can see that there are an even number of numbers, so if we take the two numbers in the middle of the order (7 and 8) and add them to get 15 and divide 15 by two, we get an answer of 7.5.
I hope this helped you!
A glass is 1/3 full then 40cm3 of orange juice is poured in the glass is now 5/7 full what is the total volume of the glass
Answer:
1/3 x + 40 = 5/7 x
7x +(21)(40) = 15x
21*40 = 8x
x = 105cm3
Step-by-step explanation:
A tiny area on a computer chip measures 2.3*10^-3 mm by 1.7*10^-4 mm. About how many times longer is the longer dimension than the shorter dimension? A. 1.35 B. 6 C. 7.4 D. 13.5
Factorize x²+7x+10. Show working please
Answer:
(x + 2)(x + 5)
Step-by-step explanation:
Given
x² + 7x + 10
Consider the factors of the constant term (+ 10) which sum to give the coefficient of the x- term (+ 7)
The factors are + 2 and + 5 , since
5 × 2 = + 10 and 2 + 5 = + 7 , then
x² + 7x + 10 = (x + 2)(x + 5) ← in factored form
An office manager buys 34 chairs for the new office. Each chair cost $205. What is the total amount the office manager pays for chairs?
Multiply the number of chairs by the price of the chair:
34 x 205 = 6,970
Total spent = $6,970
What is the average rate of change for this exponential function for the interval from x = 2 to x = 4?
Answer:
The average rate of change over the interval is 120
Step-by-step explanation:
For a function f(x) the average rate of change over an interval [a,b] is given as;
f(b)-f(a)/b-a
in this case, a is 2 and b is 4
f(b) is 256 and f(a) is 16
Substituting these values in the equation for rate of change, we have;
(256-16)/(4-2) = 240/2 = 120
If c is the number of cats, which variable expression represents the phrase
below?
The sum of the number of cats and 15 dogs
A. c•15
B. C+15
C. C-15
D.C/15
Find the surface area of a cylinder with a height of 11 feet and base radius of 3 feet.
______ square feet
Answer:
the surface area is 263.76 feet²
hope this helps
have a nice day
You are thinking of buying a new tent. Look at the dimensions given below.
What is the perimeter of the tent's porch?.
Answer:
Step-by-step explanation:
The shorter sides of the porch can be found by subtracting 2.5m from 3m to get .5m; the longer sides are found by looking at the opposite end of the tent at the rectangle with a 1 inside of it. That 1 indicates the length of the rectangle, which is the same for the porch's length. That means that the perimeter is .5+1+.5+1 which is 3m total.
Convert y + 2 = 3/2(x – 4)
to general form.
Answer:
3x − 2y = 16
Step-by-step explanation:
y + 2 = 3/2(x – 4) in standard form is 3x - 2y = 16
Hope this helps uwu
find x of the circle
Answer:
x= 80
Step-by-step explanation:
Angle Formed by Two Chords = 1/2(sum of Intercepted Arcs)
50 = 1/2 ( 20+x)
Multiply each side by 2
2*50 = 20+x
100 =20+x
Subtract 20 from each side
80 =x
It wants me to use division, but sadly I am not getting the answers I want with it. Please help!
Answer:
a. 70 gallons of water were leaked each month.
Step-by-step explanation:
Set up an equation:
Variable x = gallons leaked each month
210/3 = x/1
Cross multiply:
210 × 1 = 3 × x
210 = 3x
Divide by 3 to isolate the variable:
70 = x
The division part is only 210 ÷ 3 = x. I wrote it down this way so you can see how I came to this equation.
Check your work:
210/3 = 70/1
210 × 1 = 3 × 70
210 = 210
Correct!
Can someone please help with this ? Thanks
Please help me with the screenshot question
Answer:
owner withdrawal
1.225000
2.3300
(2a divided by 7) - (a-4)
Answer:
a=28/5 or 5.6
Step-by-step explanation:
2a/7=a-4
Multiple both sides of the equation by 7
2a=7a-28
Subtract 7a from both side
2a-7a=-28
Like Term
-5a=-26
Divide -5 from both side
a= 5.6
PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP please help please help
Answer:
Perpendicular and parallel
If X = 4 units, Y = 10 units, and h = 9 units, what is the area of the trapezoid shown above?
Step-by-step explanation:
hope the picture above help u to understand:)
please help explain it step by step
Answer:
452 m
Step-by-step explanation:
What are the solutions of the equation (5x − 2)(x + 6) = 0?
A. 0.4, −6
B. no real solution
C. −0.4, 6
D. 2.5, −6
Answer:
A. 0.4 , -6
Step-by-step explanation:
equate each of them to 0
5x - 2 =0 , x + 6 = 0
5x = 2 , x = 0 - 6
x = 2/5 , x = -6
x = 0.4 , x = -6
At Applebees, the average diner tips the waiter 20% of their total bill. Finn's bill was $66.50. How much money should Finn tip the waiter?
Answer:
56
Step-by-step explanation:
Answer:
13.3 US$
Step-by-step explanation:
How to find it
Written using the formula: x = 66.50 ÷ 20%
Convert the percent to a decimal.
20% ÷ 100 = 0.2.
X = 66.50 ÷ 0.2.
So 20% of 66.60 is 13.3.
Which of these answer choices can find the width
A. Width = (70 yd + 40 yd) /2
B. Width = (70 yd + 40 yd) /4
C. Width = (70 yd - 40 yd) /2
D.width = (70 yd - 40 yd) /4
Answer:
C
Step-by-step explanation:
2 (20)=40
70-40=30
30/2 = 15 actual width of both sides
P= 2l + 2w
How many roots does this function have in common f(x)=x^2-4x-5
125.315 to two significant figures
Answer: 130
Step-by-step explanation:
The five rounds up making it 130
HELP ASAP I need to submit this in two hours I WILL MARK BRAINLEST
What is the solution to the system of equations?
0 (0, -1)
(-10)
0 (0, 1)
O (10)
Answer:
its (0,-1) ...................................
Which is an equation of the inverse of y=3/2x?
Answer:
y
=
3
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
3
2
x
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
0
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
0
2
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
2
y-intercept:
(
0
,
0
)
x
y
0
0
2
3
image of graph
Step-by-step explanation:
Explain how geographic factors impacted the early river valley civilization.