Domain:(−∞,∞),{x|x∈R}
Range:[2,∞),{y|y≥2}
The Domain is {1, 2, 3, 4} and the range is { 11, 18, 27, 38}
What is Domain and Range?The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f(x) make up this set. A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.
Given:
Y=x^2+4x+6
As, we know that domain is the input value and range is the output value.
Then, x = 1
y = 1 + 4 +6
y= 11
and, x= 2
Y = 4 + 8 +6
Y = 18
and, x= 3
Y = 9 + 12 + 6
Y = 27
and, x = 4
Y = 16 + 16 + 6
Y = 38
Learn more about Domain and Range here:
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3 rational number between -3/2 and 0
Answer: 'So, the 3 rational numbers between 0 and 1 are 21,41 and 43.Jan 11, 2021'
Step-by-step explanation:
What is the remainder when 7x^2- x^3is divided by x - 8?
Answer:
The remainder is -64
Step-by-step explanation:
Given
[tex]7x^2 - x^3[/tex]
Divided by [tex]x - 8[/tex]
Required
Determine the remainder
Equate [tex]x - 8[/tex] to 0
[tex]x - 8 = 0[/tex]
Solve for x
[tex]x = 8[/tex]
Using remainder theorem, substitute 8 for x in [tex]7x^2 - x^3[/tex]
So, we have:
[tex]7 * 8^2 - 8^3[/tex]
Evaluate all exponents
[tex]7 * 64 - 512[/tex]
[tex]448 - 512[/tex]
[tex]-64[/tex]
Coach Nichols asked the track team to run a lap around the track. Determine the distance the team ran. Use 3 for pi.
Answer:
375
Step-by-step explanation:
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
7.51 cm2
8.6251 cm2
o
10.5 cm
19.551 cm2
Answer: SA≈27.1.
The formula is SA=2πrh+2πr2.
The radius is 0.75 since 1.5 divided by 2=0.75.
Plug it in.
X square/3 - x/3 -44
Answer:
[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]
Required
Solve
Take LCM
[tex]\frac{x^2 - x - 132}{3}[/tex]
Expand
[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]
Factorize:
[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]
[tex]\frac{(x -12)(x+ 11)}{3}[/tex]
Hence:
[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]
An arm wrestler is the champion for a period of 75 hours. (Here, by an hour, we mean a period starting from an exact hour, such as 1 P.M., until the next hour.) The arm wrestler had at least one match an hour, but no more than 125 total matches. Show that there is a period of consecutive hours during which the arm wrestler had exactly 24 matches.
Answer:
The answer is "In the i-th to J-th hour, the Wrestler played only 24 match-ups".
Step-by-step explanation:
Let [tex]x_i[/tex] label the number of teams played by the wrestler for [tex]1 \leq i \leq 75[/tex], after i-th hour, where [tex]1 \leq x_i \leq 125[/tex]. This also means [tex]25 \leq x_i + 24 \leq 149[/tex]. The Pigeonhole Principle means that [tex]\ni i \neq j \ni x i+ 24 = x ,j[/tex] is played exactly 24 matches between the i-th and j-th-hours end. Thus, 150 integrals [tex]x_1,x_2,......x_{75}, x_1+24,x_2+24.[/tex] In the i-th to J-th hour, the Wrestler played only 24 match-ups.
what is the answer
-3x+6(2x+4)=15
Answer:
x=-1
Step-by-step explanation:
use math a way
Question 1
10 pts
1. Burger Town sells cheeseburgers for $7.95 each plus
an additional $1.00 for each extra topping, t. Which of
the following equations best represents the cost, c, of a
cheeseburger?
O AC = 7.951
OB.C - 8.95
C. c = 7.95t + 1.00
D. C = 7.95 + 1.000
will mark brainlest
Answer: C
Step-by-step explanation:
3) The volume of a cube is 1,000 cu. in. What is the height of the cube? (Remember what is true about a cube!)
Answer:
10 inches
Step-by-step explanation:
A rectangular carport has area of one 50 ft.The width of the carport is 5 feet less than twice its length. Find the length and width of the carport
Width= ? feet,
Length= ? feet
Answer:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
Step-by-step explanation:
Given
[tex]W= Width\\ L = Length[/tex]
[tex]Area = 150[/tex]
[tex]W=2*L- 5[/tex]
Required
Determine the dimension
Area is calculated as:
[tex]Area = L * W[/tex]
So, we have:
[tex]L * W = 150[/tex]
Substitute: [tex]W=2*L- 5[/tex]
[tex]L * (2*L-5) = 150[/tex]
[tex]L * (2L-5) = 150[/tex]
Open bracket
[tex]2L^2 - 5L = 150[/tex]
Rewrite as:
[tex]2L^2 - 5L - 150=0[/tex]
Expand
[tex]2L^2 -20L + 15L - 150 = 0[/tex]
Factorize:
[tex]2L(L -10) + 15(L - 10) = 0[/tex]
[tex](2L + 15) (L - 10) = 0[/tex]
Split
[tex]2L + 15=0[/tex] or [tex]L -10 = 0[/tex]
Solve for L
[tex]2L =-15[/tex] or [tex]L = 10[/tex]
L cannot be negative
So:
[tex]L = 10[/tex]
Substitute [tex]L = 10[/tex] in [tex]W=2*L- 5[/tex]
[tex]W = 2 * 10 - 5[/tex]
[tex]W = 20 - 5[/tex]
[tex]W = 15[/tex]
Hence:
[tex]Length = 10ft[/tex]
[tex]Width = 15ft[/tex]
47100 was rounded to the nearest hundred.
What is the lower bound?
Tom bought a banner for
his bedroom that measures 2
feet by 1 1/2 feet. What is
the area of the banner
Answer:
3 feet
Step-by-step explanation:
The area of banner is 3 because A = l * w. So 2 * 1 1/2. Is 3 feet. Make sure to include the ft. Unit.
sally had 21 marbles her friendgave her some more.she then had 35 marbles. write an expression that shows how many marbles she had.
Answer:
21 + x = 35
x = 14
Hope this helps :)
Two angles are complementary.
If one angle measures 45
degrees, then what is the
measure of the other angle? *
Answer:
45
Step-by-step explanation:
What is the area of the kite? 10 yd 4 yd 6 yd 4 yd
Find the area (in square feet) of a trapezoid
Answer:
Solution Given :
apothegm [a]=9in
perimeter [p]=13.1×5=65.5in
given
A=1/2 aP=1/2×9×65.5=294.75in²
What’s the missing number for this equation:)
[tex]{\red\star}\:{\underline{\underline{\mathfrak{\purple{hello}}}}}\:{\red\star}[/tex]
[tex]140x = 8400[/tex]
[tex] \frac{140x}{140} = \frac{8400}{140} [/tex]
[tex]x = 60[/tex]
Our answer is 60.
Good luck.
Answer:
140 x X =8400
X=8400/140
X= 60
140 x 60 =8400
Which of the following is an equation of the line that has a slope of - 3 and passes through the point (-6, 2)?
Answer:
y = -3x - 16
Step-by-step explanation:
m = -3 ; (-6 , 2)
Slope point form : y - y1 = m(x -x1)
y - 2 = -3(x - [-6])
y - 2 = -3(x + 6)
y -2 = -3x + 6*(-3)
y - 2 = -3x - 18
y = -3x - 18 + 2
y = -3x - 16
Which of the following statements is true for the quadratic equation x2 – 16x + 64 = 0?
Answer:
Please provide the statements.
Step-by-step explanation:
Answer:
the equation has one anser
Step-by-step explanation:
NEED HELP ASAP FREE BRAINLIST
Answer:
D). 10699
Step-by-step explanation:
D is right the math is hard to explain.
1 hundredth+3 tenths equal what
.Answer:
The answer is .31
Step-by-step explanation:
When there is a “th” at the end of the number it signals that the number is to the right of the decimal.
Tenths are immediately to the right of the decimal, next is hundredths, then thousandths, and so on.
una escuela debe transportar 200 estudiantes
Answer: a school must transport 200 students
Step-by-step explanation:
Help please I need it DONT scam
Which coordinate grid shows points and plotted at (4.3)
Answer:
B
Step-by-step explanation:
(x-coordinate, y-coordinate) and the horizontal axis refers to the x-axis and the vertical axis refers to the y-axis.
PLEASE IT'S VERY IMPORTANT FOR ME
Determine the area of the composite figure.
Determine the perimeter of the composite figure.
Add the half circle to the rectangle and subtract the triangle.
Area of half circle = 1/2 x pi x 8.5^2 = 113.4325
Area of rectangle = 11 x 17 = 187
Area of triangle: 1/2 x 3 x 17 = 25.5
Total area: 113.4325 + 187 - 25.5 = 274.9325 square m
Perimeter: outside dimension for 1/2 circle = 1/2 x 3.14 x 17 = 26.69
Perimeter = 26.69 + 11 + 11 + 9 + 9 = 66.69 m
The radius of a. circular garden is 15 feet. About how much fencing will be needed to enclose the garden?
Answer:
94.2 ft of fencing
Step-by-step explanation:
To answer this, find the circumference, C, of the garden, using the circumference formula C = 2(pi)r.
Here, with r = 15 ft, we get C = 2(3.14)(15 ft) = 94.2 ft of fencing will enclose this garden.
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:Area
≈
55637.81
≈
55637.8
Area≈55637.81≈55637.8
Step-by-step explanation:
Two traffic lights operate independently. Your probability of being stopped at the first one is 0.4 and your probability of being stopped at the second one is 0.7. The probability at being stopped at the first light and second light is 0.3. What is your probability of being stopped at the first light or second light?Make sure to show your work. NEED HELP ASAP. The correct answer was .8 I just don't know how. Thank you.
Answer:
0.54 or 54%
Step-by-step explanation:
P( 1st but not second) = P(1st) - P(1st and Second) = 0.4 - 0.28 = 0.12 = 12%
P( 2nd but not first) = P(2nd) - P(1st and Second) = 0.7 - 0.28 = 0.42 = 42%
Probability of 1 of them (exactly one) = P( 1st but not second) + P( 2nd but not first) = 0.12 (12%) + 0.42 (42%) = 0.54 or also 54%.
Hope this helps!
3 over x minus 2 equals 1 over x
9514 1404 393
Answer:
x = 1
Step-by-step explanation:
As written, we must interpret your equation as ...
[tex]\dfrac{3}{x}-2=\dfrac{1}{x}\\\\\dfrac{2}{x}=2\qquad\text{add $2-\dfrac{1}{x}$}\\\\x=\dfrac{2}{2}=1\qquad\text{multiply by $\dfrac{x}{2}$}[/tex]
The value of x is 1.
12 Terrel says 5x = 5x + 0. Johnny says 5x = 5x .0. Which person is correct?
A Johnny
B Terrel
C Both are correct
D Neither are correct
Answer:
c
5x=5x so when five Cross the=sign
5x-5x=0
IF YOU ARE CORRECT I WILL MARK YOU AS BRAINLIEST! Look at the image below.
Answer:
17 cubes
Step-by-step explanation:
first we do the volume of the rectangular prism to get 135/64.then we do the area of the cube to get 1/8 and now to get how many cubes it fills the prism. 135/64 divide by 1/8 you get 16.8 round off you get 17