Answer:
the simplified expression of this is -23/2h + 3/2 or -11 1/2h + 1 1/2.
Step-by-step explanation:
7/2h - 3(5h - 1/2)
3(5h - 1/2)
First, we need to use the distributive property to distribute the expression which requires multiplication or division. We take 3 and multiply it by both values in the parentheses which gives us 15h - 1/2. However, since there is subtraction, we need to do the opposite of that which would be 15h + 1 1/2 or 15h + 3/2. Now we can't forget 7/2h at the beginning of the expression. Here is the remaining expression :
7/2h - 15h + 3/2 or 7/2h - 15h + 3/2
Now, we need to combine like terms which requires values to have the same variable. 7/2h and 15h have the same variable so combine like terms. We do subtraction.
7/2h - 15h
We subtract this and get a result of -23/2 or -11 1/2 but don't forget the variable.
-23/2h
1/2 doesn't have a variable so we no longer can combine like terms. Therefore, it would just be -23/2h + 3/2 or -23/h + 1 1/2.
For some integer q, Every odd integer is of the form
(a) q (b) q+1 (c) 2q (d) 2q+1
Answer:
Every Odd Integer is of the form 2q+1
Take 5 as our test odd Number
2(5) + 1 = 11.
This works and Nothing else will from the set of Options.
SO OPTION D IS LEGIT!
what is the longest line segment that can be drawn in a right rectanglular prism that is 14 cm long 13 cm wide and 10 cm tall
A man works 6 hours overtime. His basic rate is $7.00 per hour. He is paid double time for overtime. What is his overtime pay
Answer:
His overtime pay is of $84.00.
Step-by-step explanation:
He is paid double time for overtime.
Basic rate of $7.00, overtime is double, so $7.00*2 = $14.00.
Worked 6 hours overtime:
So his overtime pay is:
$14.00*6 = $84.00
His overtime pay is of $84.00.
Correctly order the steps to solve the equation below.
2(x + 5) + 3 = 4(x + 2) -11
= Use the distributive property on both sides
= "Undo" addition to isolate the variable term
= Identify and combine any like terms
= "Undo" multiplication to isolate the variable
Answer:
See belowStep-by-step explanation:
Solution
2(x + 5) + 3 = 4(x + 2) - 112x + 10 + 3 = 4x + 8 - 112x + 13 = 4x - 34x - 2x = 13 + 32x = 16x = 16/2x = 8Order of operations
= Use the distributive property on both sides= Identify and combine any like terms= "Undo" addition to isolate the variable term= "Undo" multiplication to isolate the variablei need to gina the length of the side
Answer:
15
Step-by-step explanation:
9 squared + 12 squared = x squared
81 + 144 = x
81 + 144 = 225
the sqaure root of 225 = 15
Linda invested $12,500 in an
account that earns 4.5% interest,
compounded monthly. What is
the value of the account after
4 years? Round your answer to
the nearest cent.
Answer:
12500
Step-by-step explanation:
4.5 × 48=216.
12500 Plus 216= 12,716
The value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+r)^t[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
t = How long the money is deposited or borrowed (in years)
We have in the question:
p = $12,500
r = 4.5% ⇒ 0.045
t = 4 years ⇒ 4×12 ⇒ 48 months
Put the above values in the formula, we get;
[tex]\rm A = 12500(1+0.045)^4^8[/tex]
A = 12500×8.27145
A = $103393.20
Thus, the value of the invested money becomes $103393.20 after 4 years if the interest rate is 4.5% and compounded annually.
Learn more about the compound interest here:
brainly.com/question/26457073
PLZ HELP, DUE TONIGHT!! Find the values of a and b such that f(x) is continuous at x=
Answers:
a = 2 and b = -4
============================================================
Explanation:
Let's define the three helper functions
f(x) = ax^2 - bh(x) = 6j(x) = 5ax+bwhich are drawn from the piecewise function. The g(x) function will change depending on what the input is.
If x < 1, then g(x) = f(x). If x = 1, then g(x) = h(x)If x > 1, then g(x) = j(x)Since we want g(x) to be continuous at x = 1, this must mean the three functions f(x), h(x), j(x) must have the same output value when the input is x = 1.
Because h(x) = 6 is a constant function, the output is always 6 regardless of the input. Therefore, we want f(x) and j(x) to have 6 as their output when x = 1. Or else, the pieces won't connect.
Plug x = 1 into the f(x) function to get
f(x) = ax^2 - b
f(1) = a(1)^2 - b
f(1) = a - b
Set this equal to the desired output of 6 and we end up with the equation a-b = 6. Solving for 'a' leads to a = b+6.
------------
We'll use the same idea for j(x)
j(x) = 5ax + b
j(1) = 5a(1) + b
j(1) = 5a + b
5a+b = 6
5(b+6) + b = 6 ... plug in a = b+6; solve for b
5b+30+b = 6
6b+30 = 6
6b = 6-30
6b = -24
b = -24/6
b = -4
Which then leads to,
a = b+6
a = -4+6
a = 2
------------
Since a = 2 and b = -4, we go from this
[tex]g(x) = \begin{cases}ax^2-b, \ \ x < 1\\6, \ \ x = 1\\5ax+b, \ \ x > 1\end{cases}[/tex]
to this
[tex]g(x) = \begin{cases}2x^2+4, \ \ x < 1\\6, \ \ x = 1\\10x-4, \ \ x > 1\end{cases}[/tex]
Meaning
f(x) = 2x^2+4 and j(x) = 10x-4
You should find that plugging x = 1 into each of those two functions leads to 6 as the output.
The graph is shown below. Note the red graph f(x) is only drawn when x < 1. Similarly, j(x) is only drawn when x > 1. The orange point represents h(x) which only happens when x = 1. So as the name implies, the piecewise function g(x) is composed of pieces of the three functions f(x), h(x), j(x).
An average of 20 pears were sold from Monday to Friday. After the sales on Saturday and Sunday, the average pears sold per day were increased to 25. How many pears were sold on Saturday and Sunday?
Answer:
5 pears
Step-by-step explanation:
Given that
The average of 20 pears were sold from Monday to Friday
But after the sales on Saturday and Sunday, the average pears sold per day were increased to 25
We need to determine the number of pears sold on Saturday and sunday
So, it is
= 25 pears - 20 pears
= 5 pears
what is the value of -35•(5/7)?
Answer:
[tex] - 35{ \bold{.}}( \frac{5}{7} ) \\ = - \frac{175}{7} \\ = 25[/tex]
Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8
Answer:
A. g=6
Step-by-step explanation:
5g-6=24
5g=30
g=30/5
g=6
Answer:
D, g = -8
Step-by-step explanation:
5 (-8) - 6 => 24
-40 - 6 => 24
-46 is NOT greater than or equal to 24.
Linda performed a computation using her calculator. The display on her calculator showed the answer as 6.1 E -4. Which numbers are equivalent to the number displayed in Linda’s calculator? Select all that apply.
Answer:c and f
Step-by-step explanation:
6.1E-4= 6.1 x 10^⁴ =0.00061
Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.
Answer:
Step-by-step explanation:
Given that :
Total amount in cups of green Ooze = 5 cups
From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10
Hence ; amout received by each contestants given equal distribution :
5 cups / 10 = 1/2 cups
1/2 cups per contestant.
1. what is the exact demical value of 225/16?
2. what is the exact decimal value of 77/12?
Answer:
14.0625 = [tex]\frac{225}{16}[/tex]
6.41666666666... = [tex]\frac{77}{12}[/tex]
Hope that this helps!
An ice-cream store sold 70 sundaes. The ratio of
strawberry to chocolate sundaes was 3:4. How
many strawberry sundacs did they sell
Answer:
30 strawberry sundaes.
Step-by-step explanation:
We know there is a total of 70 sundaes.
3 sundaes will be strawberry.
4 sundaes will be choclate.
When you add 3 and 4 together, you get 7. This is your total ratio.
So 3/7 of the sundaes are strawberry.
And 4/7 of sundaes are choclate.
We know there is a total of 70 sundaes.
The total ratio we figured out is 7.
If the total sundaes is 70, and the total ration is 7. Then the total sundaes is 10 times bigger than the ratio.
This means we need to multiply the 3 strawberry sundaes and 4 choclate sundaes by 10.
3*10=30
4*10=40
So there are 30 strawberry sundaes and 40 choclate sundaes.
We need to find the strawberry sundae amount, so the answer is 30.
Hope this helps!
Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed distance, the speed R varies inversely with the time T. In one particular pair of markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.
Answer: [tex]45.11\ mph[/tex]
Step-by-step explanation:
Given
Speed R varies inversely with time T i.e.
[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]
when R=58 mph, T=7 s i.e.
[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]
when T=9 s
[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]
Divide (i) and (ii)
[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]
hey! please help i’ll give brainliest
Answer:
A (Option 1)
Step-by-step explanation:
Answer:
A
hope this helps
have a good day :)
Step-by-step explanation:
For the linear function f(x) = -2x+1 , find the following
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Given:
The function is:
[tex]f(x)=-2x+1[/tex]
To find:
a. Slope and Y-intercept.
b. Is the function increasing, decreasing, or constant, justify your answer.
c. Graph the function, label x, and y-intercepts.
Solution:
a. We have,
[tex]f(x)=-2x+1[/tex] ...(i)
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-2,b=1[/tex]
Therefore, the slope of the line is -2 and the y-intercept is 1.
b. If the slope of a linear function is negative, then the function is decreasing.
If the slope of a linear function is positive, then the function is increasing.
If the slope of a linear function is 0, then the function is constant.
The slope of the linear function is negative.
Therefore, the function is decreasing.
c. We have,
[tex]f(x)=-2x+1[/tex]
At [tex]x=0[/tex], we get
[tex]f(0)=-2(0)+1[/tex]
[tex]f(0)=1[/tex]
So, the y-intercept is at (0,1).
At [tex]f(x)=0[/tex], we get
[tex]0=-2x+1[/tex]
[tex]2x=1[/tex]
[tex]x=\dfrac{1}{2}[/tex]
[tex]x=0.5[/tex]
So, the x-intercept is at [tex]\left(0.5,0\right)[/tex].
Plot the points [tex](0,1), \left(0.5,0\right)[/tex] and connect them by a straight line as shown below:
Here's the revenue and expenses for the month. Calculate whenever Mia had a profit or loss.
Answer:$450 i think?
Step-by-step explanation:
HELP PLEASEEEEEEE
Suppose x = 7 is a solution to the equation 4x – 2(x + a) = 8.
Find the value of a that makes the equation true.
-25
2
3
6
=> 4(7)–2(7+a)=8
=>28–14–2a=8=>14–2a=8=>-2a=8–14=>-2a=-6=>a=3The area of a rectangle is n^2+6n-27. One side of the rectangle is n + 9. What is the length of the
remaining side?
[tex]n^2 +6n-27 = n^2+6n-27+0\\~\\n^2+6n-27+0 = n^2+6n-27+(3n-3n) \\~\\n^2+6n-27+(3n-3n) = n^2+9n-3n-27\\~\\n^2+9n-3n-27 = n\cdot(n+9)-3\cdot(n+9) \\~\\n\cdot(n+9)-3\cdot(n+9) = (n+9)(n-3)[/tex]
The other side is n-3
A total of 394 people got on a boat that already had 108 people on it.
what is the best estimate for the total number of people on the boat?
Answer:
502
Step-by-step explanation:
394+108
Answer:
500 is my best answer
Step-by-step explanation:
A cylinder and a cone have the same volume. The cylinder has radius x and height y . The cone has radius 1/2x . Find the height of the cone in terms of y .
Answer:
height = 1/4y
Step-by-step explanation:
V(cylinder) = πr²h
V(cone) = πr²h ÷ 3
V(cyl) = πx²y
V(cone) = π(1/2x)²y which simplifies to be πx²y ÷ 4
πx²y = πx²y ÷ 4
if you divide each side by πx² you get:
y = y/4
height is 1/4y
what is the multiplicative inverse of
A)-7/8
B)0
C)-1. 3/7
Answer:
[tex]a) \frac{ - 8}{7} [/tex]
[tex]b) \frac{0}{1} [/tex]
[tex]c) \frac{7}{3} [/tex]
hope it helps you:)
What is the surface area of the composite solid?
A rectangular prism with a length of 2 meters, width of 8 meters, and height of 2 meters. A rectangular prism with a length of 2 meters, with of 3 meters, and height of 11 meters.
Answer:
162 m^2
Step-by-step explanation:
Tops:
The area of the high top is 3*2 = 6
The area of the lower top is 5*2 = 10
--------
16
Bottom:
The area of the bottom is 8*2 =16
Back:
The area of the back is 2*11 = 22
Front:
The top front is 9*2 =18
The bottom front is 2*2 =4
-------------------------------------------
22
Sides
The area of the left side is
vertical piece 11*3 =33
horizontal piece 5*2 = 10
-------------
43
The right side is the same = 33+10 = 43
Add them together
top+bottom+ back+front+left+right
16+16+22+22+43+43 =162 m^2
Which best describes the number
71
For the equation y = 2x2 − 5x + 18, choose the correct application of the quadratic formula.
Find the value of x
Answer:
use Pisagorth theormi
23²=18²+x²
x²=23²-18²
23²=529
18²=324
x²=205
so the x =√205
its nearly equal 14.3.....
Which property or postulate is shown? If A=B and B=C, then A=C.
Subtraction Postulate
Symmetric Property
Transitive Property
Reflexive Property
This is the transitive property :)
what is the smallest angle of this triangle
17,26,29
Describe the transformation