The domain of the function f(x) = |x|² is the set of all real numbers (-∞ < x < ∞)
The range of the function f(x) = |x|² is the set of all real numbers greater than or equal to zero ( f(x) ≥ 0)
The given function is:
f(x) = |x|²
This can also be expressed as:
f(x) = x²
This is because the square operator cancels the effect of the absolute value
The function f(x) = x² is valid for all real values of x. Therefore, the domain of the function f(x) is -∞ < x < ∞
The range of the function f(x) is all positive real numbers. This is because the square of all numbers gives a positive number.
Range = f(x) ≥ 0
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Answer:
1. all the real numbers
2. all numbers less than or equal to 2.
Step-by-step explanation:
If two terms of an arithmetic sequence are a11 = 23 and a15 = −5, what is a28?
The value of a28 given a11 = 23 and a15 = −5 is -96
Given:
a11 = 23
a15 = −5
Where,
a1 = first term
d = common difference
a11 = a + 10d = 23
a15 = a + 14d = -5
a + 10d = 23 (1)
a + 10d = 23 (1)a + 14d = -5 (2)
subtract (1) from (2) to eliminate a
14d - 10d = -5 - 23
4d = -28
d = -28 / 4
d = -7
Substitute d = -7 into (1)
a + 10d = 23 (1)
a + 10(-7) = 23
a - 70 = 23
a = 23 + 70
a = 93
So,
a28 = a + 27d
= 93 + 27(-7)
= 93 + -189
= 93 - 189
= -96
Therefore, the value of a28 given a11 = 23 and a15 = −5 is -96
Learn more about arithmetic sequence:
https://brainly.com/question/6561461
guys please (number 3)
Answer:
500 < c < 1,700
Step-by-step explanation:
May I please receive help?
Are you looking for a acute angle?
Answer:
Its right angel
Step-by-step explanation:
Sorry if m wrong
A community hall is in the shape of a cuboid.
The hall is 20m long, 15m wide, and 4m high.
Answer:
The total paint cost is £380. The total tiles cost is £1800. The total cost is £2180.
Step-by-step explanation:
To know the cost, you need to calculate the area of the community hall.
Area of the ceiling/floor: 40m x 15m = 600m2So together, their area is 1200m2.
Area of the small walls of the community hall: 15m x 3m = 45m2/each wallTogether the two walls have an area of 90m2
Area of the big walls of the community hall: 40m x 3m = 120mTogether the two big walls have an area of 240m2
So, therefore, the total area of the community hall: 1530m2Painting:
They are going to paint the walls and the ceiling and each 10L tin covers 25m2 so:
Area of the walls and ceiling = 600m2 + 90m2 + 240m2 = 930m2
930m2 ÷ 25m2 = 37.5 tins. Since you can't have half a tin, they will need 38 10L tins.
38 x £10 = £380
Floor:
1m2 floor tiles costs £3 so 600m2 x £3 = £1800
Total:
£1800 + £380 = £2180
Calculate the area of trapezium CDEF.
Answer:
i think 24 cm² is answer good luck
It is a Saturday morning, and Jeremy has discovered he has a leak coming from the water heater in his attic. Since plumbers charge extra to come out on weekends, Jeremy is planning to use buckets to catch the dripping water. He places a bucket under the drip and steps outside to walk the dog. In 20 min, the bucket is 1/8 of the way full. What is the rate at which the water is leaking per hour? and what is the longest time he can be away from the house before the bucket will overflow?
Step-by-step explanation:
You start by asking yourself or as I call it crossmultiply
if 20 min the bucket is 1/8 full what about 8/8 or a whole
20×8/8×1/8
=160 min or 2.6 hrs
Answer:
[tex]2\frac{1}{2} hours[/tex]
Step-by-step explanation:
What is the rate at which the water is leaking per hour?
rate: [tex]\frac{1}{5} buckets = \frac{1}{5}/ \frac{1}{2} buckets/ hr\\ ----\\\frac{1}{2} hour = \frac{2}{5} buckets/ hr[/tex]
Write an equation that represents the relationship between the number of buckets filled, , in hours.
[tex]y=\frac{2}{5}x[/tex]
What is the longest that Jeremy can be away from the house before the bucket will overflow?
[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2} hours[/tex]
What is the value of cos (150°)?
PLEASE NO WEBSITES!
Thank you
Answer:
Cos (150) = -√3/2
Step-by-step explanation:
You can find this using a calculator. You will get −0.866025403 which is equal to -√3/2
At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score
Answer:
The Rams scored 7 points.
Step-by-step explanation:
42/6 = 7
since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.
Please help me
if v=6, w=-9, and x=7
Answer:
im sorry but r u even trying..... bc i just answer one of ur questions
Step-by-step explanation:
Giving brainliest
Write the inequality that represents the possible values for x
Answer:
6x +12 < 10
Step-by-step explanation:
Please help I need help by the end of today
Answer:
A. x = 7, y = 3
Step-by-step explanation:
The triangles are congruent by HL if the hypotenuses are congruent, and if the marked legs are congruent.
3x -1 = 6y +2 . . . . hypotenuses are congruent
2x = 5y -1 . . . . . . .legs are congruent
Subtracting 2 times the first equation from 3 times the second gives ...
3(2x) -2(3x -1) = 3(5y -1) -2(6y +2)
6x -6x +2 = 15y -3 -12y -4
9 = 3y . . . . . . . . . . . add 7 and simplify
y = 3 . . . . . . . . divide by 3
This value of y matches only answer choice A.
A stainless steel gas grill is list priced at $495. The manufacturer offers a series discount of 25/20/10 to wholesalers and a 25/20 series discount to
retailers. What is the difference between the prices?
Answer:200$
Step-by-step explanation:
Does any one mind helping me on this question I have struggle solving it
answer for (a) attached.
Can someone please help me with this one? Tysm!!
Answer:
-26
Step-by-step explanation:
well add the negative numbers first so you get
-17-18=(-35)
then you add 9 so its (-35)+9=26
Answer:
Step-by-step explanation:
-17 + 9 +(-18) = -8 -18 = -26 final answer
Can you help me please
HELP HELP ME PLS I AM RUNNING OUT OF TIME!!!! HERE IS MY PROBLEM:
An attorney drove 9 1/4 miles from his home to a clients home and another 4 3/5 miles to get to his office. How far did he drive in total?
Answer:
Step-by-step explanation:
To write fractions with a common denominator, you will most likely need to scale some numbers up! I will explain how.
Let's try it with the fractions
2
3
and
3
12
12 is larger than 3, so we will have to multiply the 3 by some number to equal 12. (We are really finding the Least Common Multiple of the two denominators!) To do this, you have to multiply the 3 by 4, because 3x4=12. But now the numerator doesn't match the denominator. When you scale the denominator up, you have to scale the numerator up too! So the 2 must be multiplied by 4 also.
Now you have the following:
8
12
and
3
12
These fractions now have common denominators! Now they're all set for adding or subtracting fractions.
Try another:
2
6
and
3
5
: The least common multiple of 6 and 5 is 30. (the product of the denominators)
Transform each fraction by multiplying by "1":
2
6
⋅
5
5
=
10
30
and
3
5
⋅
6
6
=
18
30
One last problem:
4
9
and
7
6
What is the least common multiple of 9 and 6? Could you use 54? Absolutely, but it is not the LEAST number that you could use. How about 18? YES!
4
9
⋅
2
2
=
8
18
and
7
6
⋅
3
3
=
21
18
Ready to go...
Hope this helped!
Danielle pays $35 for 6 1/3 pounds of coffee.Charyn pays $60 for 9 1/4 of coffee. Whose coffee cost more per pound . What is the difference per pound in the coffee
Answer:
Charyn's coffee is the dearest.
Difference per pound is $0.96.
Step-by-step explanation:
Price per pound = total price / pounds bought
For Danielle this
is 35 / 6 1/3
= 35 / 19/3
= 35 * 3 / 19
= $5.526.
For Charyn this
is 60 / 9 1/4
= 60 / 37/4
= 60 * 4 / 37
= $6.486.
Difference = $0.96.
Rationalize the denominator 1/ (5-2√3)
[tex]\qquad[/tex]_________________________
[tex]\bf Multiplying\:by\:\: \purple{ \dfrac{5+\sqrt{3}}{5+\sqrt{3}}}\\[/tex]
[tex]\qquad[/tex][tex] \longrightarrow \bf \dfrac{1}{5 - 2\sqrt{3} } \times \dfrac{5 + 2\sqrt{3} }{5 + 2\sqrt{3} }\\ [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{1(5 + 2\sqrt{3}) }{(5 - 2\sqrt{3})(5 + 2\sqrt{3}) } [/tex]
[tex]\qquad[/tex][tex]\longrightarrow \sf \dfrac{5 + 2\sqrt{3} }{ {(5)}^{2} - (2 \sqrt{3})^{2} } [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(5 \times 5) - (2 \times 2 \times \sqrt{3} \times \sqrt{3} )} [/tex]
[tex]\qquad[/tex][tex] \longrightarrow \sf \dfrac{5 + 2 \sqrt{3} }{(25) - (12)} [/tex]
[tex]\qquad[/tex][tex] \purple{ \longrightarrow \bf \dfrac{5 + 2 \sqrt{3} }{13} } [/tex]
[tex]\qquad[/tex]_________________________
Answer is 2/(5+√13)
Rationalize the denominator 1/ (5-2√3)
PLEASE ANSWER QUICKLY 100 POINTS!!!! Simplify the expression below. (See picture below) What is the numerator of the simplified expression?
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Answer:
13N+26/9n-26/3
Step-by-step explanation:
Mark as brainliest
а 5. Protein Bar A has 15 grams of protein in
a 40 gram bar. Protein Bar B has 20 grams of protein in a 60 gram bar. Which bar has more protein per gram?
anybody help please hehehe
Answer:
It is the second one 20^247
Step-by-step explanation:
What is the percent of decrease from 100 to 38?
Answer: 62
Step-by-step explanation:
100 - x = 38
x =62
The perimeter of the figure below is 140 ft.
Find the length of the missing side.
Answer:
9.2 ft
Step-by-step explanation:
140 - 9.6 - 10.2*8 - 19.8*2 = 9.2
mark me as brainliest PLEASE
Is the relationship between the temperature scales proportional?Why or why not?
Answer: No, see explanation below
Step-by-step explanation:
For the relationship between the temperature scales to be proportional, the ratio (the number we get when dividing the given temperature in Celsius by the temperature in Fahrenheit) has to be constant.
[tex]\frac{0}{32}=0\\\frac{10}{50}=0.2\\\frac{20}{68}=0.29[/tex]
In the example, I give, we can see that is not the case. It applies to any value as well, therefore the relationship between the temperature scales is NOT proportional
pls help!! the answers are written but can someone explain how to find the angles step by step? I already know how to find the hypotenuse length.
There are a few options we can take. One way is to use the tangent ratio to tie together the opposite and adjacent sides, and then apply the inverse tangent (aka arctangent) to get the angle itself.
Let x be the upper left acute angle, and y be the lower right acute angle.
We can say
tan(angle) = opposite/adjacent
tan(x) = 16/5
x = arctan(16/5)
x = 72.645975 approximately
x = 72.6
and also
tan(angle) = opposite/adjacent
tan(y) = 5/16
y = arctan(5/16)
y = 17.3540246
y = 17.4
Note how x+y = 72.6+17.4 = 90. The two acute angles of any right triangle are complementary, meaning they always add to 90. So if you found x, then you can compute y = 90-x without needing the tangent ratio.
Your calculator needs to be in degree mode when using the arctangent function, which is denoted as [tex]\tan^{-1}[/tex] on many graphing calculators.
Monty Ricker obtained a used car loan of $6,000.00 at 8% for 36 months. The monthly payment is $ 187.80. The balance of the loan after 12 payments is $ 4,159.90. The balance after the 34th payment is $ 380.60.
Answer:
What is the intrest for the 13th payment?
Answer: What is the interset
Step-by-step explanation:
expand: -4(2x + 2) +3
Answer:
-8x-8+3
-8x-5
that is the answer for this question and I will send you the link to mp3 and
What is the distance between -9and -2 on the number line
Answer:
7 units
Step-by-step explanation:
Calculate the distance using the absolute value function
| - 9 - (- 2) | = | - 9 + 2 | = | - 7 | = 7
or
| - 2 - (- 9) | = | - 2 + 9 | = | 7 | = 7
What is an equation of the line that passes through the points (4, -1) and (-8, -7)?
Answer:
y=-1/2x - 3
I think this is it, its been a while though.
A bicycle has a listed price of $588.95 before tax. If the sales tax rate is 8.25% , find the total cost of the bicycle with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
$637.54
Step-by-step explanation:
The cost is $588.95 and the tax is 8.25%, which needs to be turned into a decimal by moving the decimal 2 places to the left. .0825. Now multiply 588.95 x .0825 and that gives you the tax: $48.59 after rounding. Now add the tax to the price: 588.95 + 48.59 = $637.54.