Answer: (x+2)^2 -11
Step-by-step explanation:
X^2 +4x -7
Half the middle term, add it to x and put them into a bracket and square it
(X+2) ^2 -7
Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)
(X+2)^2 -7 -4
Now simplify the whole numbers outside the bracket
(X+2) ^2 -11
3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5
Answer:
[tex]5x^2 - 4[/tex]
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
[tex]f(x) - c[/tex]
In our case is:
[tex]x^2 - 4[/tex]
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
[tex]f(cx)[/tex]
In our case is:
[tex]5x^2[/tex]
Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:
[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]
Then evaluate for a number, for example 5:
[tex]f(5) = 25\\g(5) = 5[/tex]
the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get [tex]5x^2 - 4[/tex]
Which of the following is equivalent to the expression 2/5 divided by 4 ?
A
5/2×4
B
2/5
C
2/5×1/4
D
2/5÷1/4
Answer:
C) 2/5×1/4
Step-by-step explanation:
Dividing by a number is the same by multiplying by the reciprocal of the number.
For Example:
1/2 divided by 3 would be the same as 1/2 x 1/3
So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4
Help me with this answer please
Answer:
£6.25
Step-by-step explanation:
2.25 x 15 = 33.75
40 - 33.75 = 6.25
Answer:
£6.25
Step-by-step explanation:
Hii,
So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75
To get change, you need to take away the amount you are giving by how much the bill is.
£40 - £33.75 = £6.25
I hope this helped :P
simplify 5/13 ( 75 - 49)
Answer:
The answer is 10.
Step-by-step explanation:
I'm certain this is correct. :D
Can someone answer this for me?
Thanks!
Hiii :))
Answer is in the attachment.
Identity used :-
1) cosec² α = 1 + cot² α
Trigonometric Ratio :-
1) cot 30° = √3
_____
Reddam is an expensive school, right?
RainbowSalt2222 ☔
Answer:
hello :-D
Step-by-step explanation:
(C+X)/X
can be simplified as:
[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]
it's can simplify sorry
The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?
Answer: 27.5% decrease in the staff
Step-by-step explanation:
Water leaks from tanker at a rate of 8L/h. How much water will leak from the tank in: a: 2 Day. b: 2 Weeks
Answer:
look at the picture ..........
what is the percent of $300,000=$75,000
Answer:
25%
Step-by-step explanation:
75000/30000=75/300=25/100=25%
Answer:
25%
Step-by-step explanation:
(75,000/300,000) (100)
(0.25) (10)
= 25
What is 10 plus 5 to the 3 power minus 1? Order of operation
Step-by-step explanation:
(10+5)³-1 = 3375-1 = 3374.
The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896
Answer:
1503 years
Step-by-step explanation:
Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.
Evaluate 10.5s + 9.9t when s=3 and t = 4
Answer:
71.1
Step-by-step explanation:
Answer:
71.1 is the answer
Step-by-step explanation:
If GH is an altitude, what would mZGHF have to be?
Answer:
Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.
Step-by-step explanation:
.ggzgugimjhzieejwjdjnenwuene
Answer:
what da hel.l I didn't understood anything
In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II
Answer:
B.
Step-by-step explanation:
The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.
find the zscore which the area to the left is 0.46
Answer:
Z ≈ -0.100
Step-by-step explanation:
A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).
Z ≈ -0.100
What is the missing length?
Answer:
Length=12mi
Step-by-step explanation:
Area=123.6mi^3
Width=10.3mi
Length=u
Formula: Area=LxW
Area÷W=u
123.6÷10.3=12
Length=12mi
Hope this helps :)
simple math question!!!
There are 25 boxes and 15 of them are shaded.
15/25 = 0.6 = 60%
Answer:
15%
Step-by-step explanation:
Because 5 x 3 = 15%. So the answer is 15%
help me with this please
write 90 cm as percentage of a metre??
Answer: 90%
Step-by-step explanation:
90 cm is 0.9 m
and 0.9 m is 90% of 1 m
PLEASE HELP! Economics
100 francs = 50 dollars
Exchange rate = 50/100
= 1/2
= 0.50 dollars per franc (C)
Note :-
It's dollars per franc because here the dollar has more value.
______
RainbowSalt2222 ☔
Answer:
Im pretty sure it is c
Step-by-step explanation:
A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?
$15.08
Step-by-step explanation:As the value 226.20 is the total of all wages, you can work out the mean.
Mean averages are usually worked out as the total / number of values.
Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.
6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?
Answer:
From the looks of the graph, it looks like the answer will be Letter C. (The last graph).
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex: ( − 3 /4 , 41 /8 )
Focus: ( − 3 /4 , 5 )
Axis of Symmetry: x = − 3 /4
Directrix: y = 21 /4
x y
− 3 − 5
− 2 2
− 3 4
41 8
0 4
1 − 1
19 /5 as a mixed number
Answer:
[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]
Step-by-step explanation:
5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.
If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)
[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]
On October 1, Organic Farming purchases wind turbines for $140,000. The wind turbines are expected to last six years, have a salvage
value of $20,000, and be depreciated using the straight-line method.
1. Compute depreciation expense for the last three months of the first year.
2. Compute depreciation expense for the second year.
9514 1404 393
Answer:
$5000$20,000Step-by-step explanation:
1.The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...
$140,000 -20,000 = $120,000 . . . . loss of value in 6 years
3 months is 1/4 of one year, so the loss of value in that time period is ...
$120,000/6 × 1/4 = $5000
The depreciation expense for the last 3 months of the first year is $5000.
__
2.The depreciation expense for the second year is ...
$120,000/6 = $20,000
Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.
Answer:
$3,582.16
Step-by-step explanation:
Lunch trays are stacked in
4 stacks with 25 trays in
each stack. How many
lunch trays are in the stacks
altogethere Show your
work.
Answer:
4 stacks and 25 in each stack
its asking you what is the total so
25*4=100
so 100 trays altogether
Answer:
100
Step-by-step explanation:
25+25+25+25
50+50
100
Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6
Answer:
1
Step-by-step explanation:
because... it is
The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?
Step-by-step explanation:
the numbers : x, y
x + y = 65
x = y + 5
we use the second equation in the first equation :
y + 5 + y = 65
2y + 5 = 65
2y = 60
y = 30
x = y + 5 = 30 + 5 = 35