Identify h (x) = [x] + 4
A. Constant function
B. Greatest integer function
C. Direct Variation function
D. Absolute value function
PLEASE HELP ILL MARK BRIANLIEST
Answer:
C
Step-by-step explanation:
The given function h (x) = [x] + 4 as the greatest integer function which is the correct answer would be option (B).
What is the greatest integer function?The greatest integer function takes the greatest integer that is less than or equal to a specified value. The biggest integer less than or equal to a number x is expressed as ⌊x⌋. It will round off the input number to the nearest integer that is less than or equal to the number itself.
Mathematically, the greatest integer function ⌊x⌋ can be defined as follows:
⌊x⌋ = n, where n ≤ x < n + 1 and 'n' is an integer.
According to the given question,
The function is below as
⇒ h (x) = [x] + 4
Here ⌊x⌋ = 4, where 4 ≤ x < 4 + 1 and '4' is an integer.
The given function as the greatest integer function takes the greatest integer that is less than or equal to a value of 4.
Hence, the correct answer would be an option (B).
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What is the solution to the following equation? Please help!
Answer :
D
Step By Step Explanation :
187²–87² without using mathematical table or calculator
27.400
Step-by-step explanation:
187X187 = 34.969
87X87=7.569
34.969 - 7569 = 27.400
Use the identity
(a + b)² = a ² + 2ab + b ²
Then rewrite 187² as
187² = (100 + 87)² = 100² + 2•100•87 + 87²
Subtract 87² eliminates the last term from above, so we're left with
(100² + 2•100•87 + 87²) - 87²
= 100² + 2•100•87
= 10000 + 2•8700
= 10000 + 17400
= 27400
Select yes or no for each literal equation.
Answer:
No, Yes, Yes
Step-by-step explanation:
[tex]5x + 2y = 3[/tex]
2y = 3 - 5x
y = (3-5x) / 2
FALSE
[tex] \frac{w + 8}{2} = p[/tex]
2P = w + 8
w = 2P - 8
TRUE
[tex]ax + by = c[/tex]
by = c - ax
y = (c - ax) / b
TRUE
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547
Answer:
A & C
Step-by-step explanation:
If 25 metres of cloth costs Rs. 337. 50 , then the length of the cloth bought for Rs. 810 is
Answer:
19
Step-by-step explanation:
because it not it
Answer:
See below:
Step-by-step explanation:
So first, we can find out the cost for one meter of cloth by dividing 25 by 337.5 Rupees:
[tex]\frac{337.50}{25} = 13.50[/tex]
We now divide 810 by 13.50
[tex]\frac{810}{13.50} = 60[/tex]
We now get our answer of 60 meters!
Cheers!
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given the drawing below what is the difference between angle D and angle B
Answer:
given the drawing below what is the difference between angle D and angle B
Step-by-step explanation:
On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?
Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.
Number of yellow markers given = 16
Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:
= 1/2 × 16
= 8 markers
Therefore, the total markers will be:
= 8 + 16 = 24
In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.
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What is the value of k?
help!!!!
Answer:
k = 10°Step-by-step explanation:
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]
An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]
A sequence is defined recursively by
a1=4
an=34an−1
What is the explicit form of this sequence?
9514 1404 393
Answer:
an = 4×34^(n-1)
Step-by-step explanation:
If your recursive definition is ...
[tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]
this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...
[tex]a_n=a_1\times r^{n-1}[/tex]
For the values shown here, the explicit definition of the sequence is ...
[tex]\boxed{a_n=4\times 34^{n-1}}[/tex]
Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
what is the product of 1/2 and 3/5 ?
Answer:
3/10
I think??
Answer:
The answer is 0.3
don't really have a step-by-step explanation just either look it up or do it on a calculator
Select the correct answer.
One of the factors of the polynomial x2 + 5x + 6x is (x2 + 3x). What is the other factor?
AX-2
B. X+ 2
C. X+ 1
D. X-1
Answer:
I think it is B it is my guss
When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?
Answer:
20 minutes
Step-by-step explanation:
If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.
I found this by dividing 40 (boxes) by 2 (min per box)
PLEASE HELP ITS MATH THANK YOUUUU
Answer:
144%
Step-by-step explanation:
There are multiple ways to do this but here's the way I used:
2.50/100 = .025
Based on this, 1% of 2.50 is 0.025.
6.10-2.50 = 3.6
3.6/0.025 = 144
Based on this, 3.4 is 144 times greater than 0.025 (1%). So 3.4 is a 144% increase.
1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km
Answer:
a= 500km b= 1,250 c= 750
Step-by-step explanation:
a= 250x2=500km
b= 250x5=1,250km
c= 250x3=750km
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Answer:
To reflect a graph, f(x) over the x-axis, you take -f(x).
So if f(x)=x^2, then -f(x) is -x^2.
Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.
Step-by-step explanation:
Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?
Step-by-step explanation:
Got it. Hope this will help.
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.
p(x) =
9514 1404 393
Answer:
p(x) = -x^2 +2x +24
Step-by-step explanation:
When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.
p(x) = -(x +4)(x -6)
p(x) = -x^2 +2x +24
A class has 40 students. Number of boys are 6 more than girls. Find number of boys
and girls in the class.
Basically let's represent the number of girls with x.
There are 6 more boys than girls, so x+6
Let's sum it all up
x+x+6=40
Collect like terms;
2x+6=40
2x=40-6
2x= 34
Divide both sides by 2
x=17
17+6=23
Therefore there are 17 girls in the class and 23 boys.
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Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.
Answer:
look at the photo............
How do you evaluate -98 - 13
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98
Hhopppppopppppppohelpppppp
Answer:
gffghjjdfdgfgjgfdgj
Step-by-step explanation:
Josh wrote 483 out of an expected 500 words for his essay. How would this ratio be expressed in decimal form?
A 0.034
B 0.483
С 0.966
D 4.83
Answer:
b
Step-by-step explanation:
just trust me
The highest recorded temperature in Yuma, Arizona, was about 51 degrees C and the lowest recorded temperature was about 11 degrees C
Whats the difference between the highest and lowest temperatures?
Step-by-step explanation:
Definition of temperature:
The tendency of a substance or an object to transfer heat to its surroundings.
Definition of the thermodynamic temperature:
The Kelvin, unit of thermodynamic temperature, is the fraction 1/273.16 of the thermodynamic temperature of the triple point of water
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answer:b
Step-by-step explanation:
Which is the correct label for a right angle in the figure? (check picture for options and figure)
Answer:
C
Step-by-step explanation:
9. Write an equation of a parabola that opens to the right, has a vertex at the origin, and a focus at (7,0).
Answer:
[tex]x = \frac{1}{28} y^{2}[/tex]
Step-by-step explanation:
parabola equation with vertex (0 , 0) and focus length |f| = 7
4*f*(x - h) = (y - k)²
4*7*(x-0)=(y-0)²
28x = y²
[tex]x = \frac{1}{28} y^{2}[/tex]
Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?
Answer:
$17.81
Step-by-step explanation:
11.87 x 1.5 = 17.805