Answer:
91 +3409/12500
Step-by-step explanation:
Did you mean simplify as a fraction?
In a theater, there are 20 chairs in the first row, each row has 4 more chairs than the previous row, and there are 15 rows. How many chairs are there in the theater?
Answer:
There are a total of 720 chairs in the theater
Step-by-step explanation:
First row = 20 chairs
Second row = 24 chairs
Third row = 28 chairs
The given is an arithmetic progression (A.P)
First term
a = 20
Common difference
d = 4
Number of terms
n=15
Sum of the chairs in the theater with a total of 15 rows
Sum of an A.P = n/2 { 2a + (n-1) d}
= 15/2{ 2*20 + (15-1) 4}
= 7.5 { 40 + (14) 4 }
= 7.5 { 40 + 56}
= 7.5(96)
=720 chairs
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
Answer:
7Step-by-step explanation:
[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]
To find f(-2) , Substitute -2 for x in the given equation ;
[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]
To find g(f(-2)) ;
[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]
To find g(2) , substitute 2 for x in the given equation
[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]
Value of g(f(-2)) is equals to 7.
What is composition function?"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."
According to the question,
Given,
f(x) = x² + x
g(x) = 3x + 1
Substitute the value x=-2 in function f(x) we get,
f(-2) = (-2)² +(-2)
= 4 -2
= 2 ______(1)
Again substitute the value of x = f(-2) in g(x) to get composition function,
g(f(-2)) = 3f(-2) +1
Substitute the value f(-2) from (1) we have,
g(f(-2)) = 3(2) + 1
⇒ g(f(-2)) = 7
Hence, value of g(f(-2)) is equals to 7.
Learn more about composition function here
https://brainly.com/question/20379727
#SPJ2
Simplify the following polynomial expression (5x2y-3xy-8)+(7xy+4)
Answer:
5x²y + 4xy - 4
Step-by-step explanation:
Step 1: Write out expression
5x²y - 3xy - 8 + 7xy + 4
Step 2: Combine like terms (xy)
5x²y + 4xy - 8 + 4
Step 3: Combine like terms (constants)
5x²y + 4xy - 4
3 divided by 10 in decimal form plz thnks
Answer:
Step-by-step explanation:
3/10 = 0.3 in decimal form
Answer: I agree with the person above it's 0.3 I did the math twice and got the same answer
Step-by-step explanation:
Solve the inequality d – 6 < –0.5 and graph the solutions.
Answer:
Hope it will help you :)
Step-by-step explanation:
d-6<-0.5
Adding 6in both sides to find out the value of d
d-6+6<-0.5+6
d<5.5
Solution set={d/d<5.5}
Clare had $110 in her saving. She wanted to buy an MP3 player for $ 118 what is the difference between how much money Clare had and how much she needed
Answer:
$8
Step-by-step explanation:
We want to find the difference between the money Clare has and the money she needs.
Difference means subtract, so we should subtract the amount of money she has from the amount she needs.
money needed - money she has
She has $110 and she needs $118 to purchase the MP3 player.
$118 - $110
Subtract 110 from 118.
$8
The difference between the money Clare has and the money she needs is 8 dollars.
If y = 8x − 2, which of the following sets represents possible inputs and outputs of the function represented as ordered pairs?
{(0, −2), (1, 6), (2, 14)}
{(0, −2), (2, 13), (−5, −40)}
{(1, 7), (2, 7), (3, 7)}
{(1, 6), (2, 13), (3, 24)}
Answer:
the first set
Step-by-step explanation:
y = 8x − 2
to see which of the following represent the right input and out put substitute the amount of x in the equation and see it you get the same output .
x y=8x-2 y
0 8(0)-2 -2
1 8(1)-2 6
2 8(2)-2 14
Smplify the expression. -5(6+9K) *
HELPP
Answer:
-30 -45K
Step-by-step explanation:
-5(6+9K)
Distribute
-5 * 6 + -5 * 9k
-30 -45K
Given g(x)=3x2+3 find x if g(x)=78 Help me please
Answer:
The answer is 5
Step-by-step explanation:
Given g(x)=3x2+3 find x if g(x)=78 = 5
Hope this helped you :)
Answer:
x = ± 5
Step-by-step explanation:
Given
g(x) = 3x² + 3 and g(x) = 78 , then equate the right sides, that is
3x² + 3 = 78 ( subtract 3 from both sides )
3x² = 75 ( divide both sides by 3 )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
That is x = - 5 or x = 5
110 +0.70x = 50+ 0.90x
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 300}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{110 + 0.70x = 50 + 0.90x}[/tex]
Move 0.90x to left hand side and change it's sign
⇒[tex] \sf{0.70x - 0.90x + 110 = 50}[/tex]
Move 110 to right hand side and change it's sign
⇒[tex] \sf{0.70x - 0.90x = 50 - 110}[/tex]
Collect like terms
⇒[tex] \sf{ - 0.2x = 50 - 110}[/tex]
Calculate
⇒[tex] \sf{ - 0.2x = - 60}[/tex]
Divide both sides of the equation by -0.2
⇒[tex] \sf{ \frac{ - 0.2x}{ - 0.2} = \frac{ - 60}{ - 0.2} }[/tex]
Calculate
⇒[tex] \sf{x = 300}[/tex]
Hope I helped!
Best regards!!
c) 28 - 11
-7
[tex] \frac{28}{ - 7} - 11[/tex]
Answer:
Step-by-step explanation:
-4 - 11 = -15
It is a customer appreciation week at the vans shoe outlet, Which means all customers are given a 20% discount on all items. A customer comes in with an birthday coupon for an additional 10% off any shoe item, once the first discount has been applied. The customer buys 3 pairs of shoes for $120.00 each. After the two discounts how much does the customer pay?
Answer:
$278.40
Step-by-step explanation:
Note: "...an additional 10% off any shoe item, once the first discount has been applied." (emphasis added).
Note that the customer is buying 3 pairs of shoes for $120 each: 120 x 3 = $360
The first discount is the 20% discount (on every single item), the second discount is the 10% discount coupon of of any item (which signifies one item only).
Solve for the first discount:
$360 x 0.20 = $72
$360 - 72 = $288.
Next, divide $288 by 3 (to get the individual prices of the shoes:
$288/3 = $96.
The customer then uses a birthday coupon for one of the shoes, which gives an additional 10% off.
$96 x 0.10 = 9.6
$96 - 9.6 = $86.4
Remember, the other two shoes still cost $96 each. Add the price together:
$96 + $96 + $86.4 = $278.40
$278.40 will be the total.
~
Answer:
278.40
Step-by-step explanation:
can you please help me
Answer:
(5, 6)
Step-by-step explanation:
(5, 6)
x, then y.
one grid space is one up or down.
Good luck mate :)
The inclination (tilt) of an amusement park ride is accelerating at a rate of 2160\,\dfrac{\text{degrees}}{\text{min}^2}2160 min 2 degrees 2160, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, i, n, end text, squared, end fraction. What is the ride's acceleration rate in \dfrac{\text{degrees}}{\text{s}^2} s 2 degrees start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, squared, end fraction?
Answer:
0.6 deg/s²
Step-by-step explanation:
Acceleration is the time rate of change of velocity, it is the ratio of velocity to time. The formula for acceleration is given by:
Acceleration = Change in velocity / time taken = (Final velocity - Initial velocity) / time
Given that the acceleration is 2160 deg/min², we have to convert it to deg/s²
1 min = 60 seconds
1 min² = 60² s² = 3600 s²
[tex]2160\ deg/min^2=\frac{2160\ deg}{1\ min^2*3600\ \frac{s^2}{min^2} }=0.6\ deg/s^2\\ \\2160\ deg/min^2=0.6\ deg/s^2[/tex]
Answer:
0.6
Step-by-step explanation:
what is reflection ?
Answer:
the conceptual operation of inverting a system or event with respect to a plane, each element being transferred perpendicularly through the plane to a point the same distance the other side of it.
Step-by-step explanation:
Answer:
Goosebumps remix in Spotify
Solve for all values of x in simplest form 1+3|x-5|=10
Answer:
x = 8 x = 2
Step-by-step explanation:
1+3|x-5|=10
Subtract 1 from each side
1-1+3|x-5|=10-1
3|x-5|=9
Divide by 3
3/3|x-5|=9/3
|x-5|=3
There is a positive and negative solutions
x-5 =3 x-5 = -3
Add 5 to each side
x-5+5 = 3+5 x-5+5 = -3+5
x = 8 x = 2
Answer:
[tex]x=2,8[/tex]
Step-by-step explanation:
So we have the equation:
[tex]1+3|x-5|=10[/tex]
First, subtract 1 from both sides:
[tex]3|x-5|=9[/tex]
Now, divide 3 from both sides:
[tex]|x-5|=3[/tex]
Definition of absolute value:
[tex]x-5=3\text{ or }x-5=-3[/tex]
For the left, add 5 to both sides.
For the right, add 5 to both sides:
[tex]x=3+5\text{ or } x=-3+5\\x=8\text{ or }x=2[/tex]
Thus, the answers are:
[tex]x=2,8[/tex]
6x - 5 = 2 Times 3x + 4
What’s the answer
And does it have an infinite solutions.
WILL MARK BRAINLIEST
Answer:
no solution
Step-by-step explanation:
u cant multiply when there is an equal
Answer:
6x−5=(2)(3)x+4
Step 1: Simplify both sides of the equation.
6x−5=(2)(3)x+4
6x+−5=6x+4
6x−5=6x+4
Step 2: Subtract 6x from both sides.
6x−5−6x=6x+4−6x
−5=4
Step 3: Add 5 to both sides.
−5+5=4+5
x=9
What is greater 16/28 or 28/49
Answer:
They are equal.
Step-by-step explanation:
Step 1: Evaluate 16/28
16/28 = 0.571429...
Step 2: Evaluate 28/49
28/49 = 0.571429...
Step 3: Compare
0.571429... ? 0.571429...
0.571429... = 0.571429...
So 16/28 = 28/49
Solve V- E = 2 for E; E =
A.) V - 2
B.) V + 2
C.) - V - 2
D.) - V + 2
25
Is 25 irrational or rational and why
Answer:
The number 25 is a rational number.
It is a whole number which can be written as the fraction 25/1.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
solve the equation
2x + 4x -7=5
×=
Answer:
soln,
6x=12
so,x=2.........
Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that it is not.
Answer:
The expression is false
Step-by-step explanation:
Given
[tex]f - (g - h) = (f - g) - h[/tex]
Required
True or False
To determine if the expression is true or false, we need to simplify both sides of the equation
[tex]f - (g - h) = (f - g) - h[/tex]
Start by opening the bracket on the right hand side
[tex]f - (g - h) = f - g - h[/tex]
Then open the bracket on the left
[tex]f - g + h = f - g - h[/tex]
Subtract f - g from both sides
[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]
[tex]f - g - f + g + h = f - g - f + g - h[/tex]
[tex]f - f - g + g + h = f - f - g + g - h[/tex]
[tex]h \neq -h[/tex]
Hence;
The statement is false
To further check;
Assume f = 5; g = 4 and h = 3
[tex]f - (g - h) = (f - g) - h[/tex] becomes
[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]
[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]
[tex]2 \neq -2[/tex]
it would be amazing if you show work please
Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](1,\infty)[/tex]
Step-by-step explanation:
The domain of a function is the span of x-values it covers.
The range of a function is the span of y-values it covers.
From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
For the range, note that horizontal line at y=1.
The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.
Thus, our range would be all values greater than 1 (to positive infinity).
In interval notation, this is:
[tex](1,\infty)[/tex]
And we're done :)
Please answer ASAP! Describe how you would graph a figure that is translated by (x - 4, y + 2). I will pick you as brainliest!
Answer:
the answer is 3820
Step-by-step explanation:
first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest
If they work together, Mark and Yvonne can sort 50 library books in 1.5 hours. Working alone, it would take
Yvonne 5 hours to do the same job. How long would it take Mark if he worked alone? Express your answer in
hours and minutes.
veres
e out of
Answer:
B
Step-by-step explanation:
Help me please I’ll give brainliest PLEASE HELP ASSP
Answer:
fundamental orders of connecticut
Step-by-step explanation:
A digital camera is marked 33% off the
original price. If the discount is $52.80,
what was the original price?
A) $107.20
B) $160.00
C)$170.00
D) $175.00
Answer:
A. $107.20
Step-by-step explanation:
dont know sorry
what is 9 3/4 as a percentage
First, turn the fraction into a decimal.
9.75
Second, multiply by 100%.
9.75 * 100% = 975%
Best of Luck!
Select the correct answer. Which term is a term in this expression? -3x - 7(x+4) OA x + 4 O B. -7 Ос. -3x OD. -3
Answer:
D. -3x
Step-by-step explanation:
Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.
-3x follows the above rule, so -3x is a term.
Answer:
D
Step-by-step explanation:
Hi...
(5/2)x=5 please help me
Answer:
x=2.5
Step-by-step explanation:
2.5x=5
subtract 2.5 from itself and 5
x=2.5