Answers
The domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
As we can see in the picture, a graph is shown.
The hollow points denote that at x = -3 and x = 7 the function value is not defined, that's why these points should be excluded from the domain of the functions.
The domain of the function:
D: x ∈ (-3, 7)
Thus, the domain of the function is D: x ∈ (-3, 7) here the points -3 and 7 are excluded from the domain.
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Related Questions
please help i font understand
Answers
To get the probability we get the amount of numbers that are prime and put them over the total number of sides of the spinner which equals: 3/5
Answer:
3/5
Step-by-step explanation:
Concepts + Application + Solution
We can write the probability of this event happening like this:
(number of prime numbers)/(total number of sections)For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.
Given this information above, let's find the prime numbers in the spinner.
1: not prime (not greater than 1)2: prime3: prime4: not prime (divisible by 2)5: primeAs you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.
Select the correct answer. Determine which equation has the same solutions as the given equation. x2 − 10x − 11 = 0 A. (x − 10)2 = 21 B. (x − 10)2 = 36 C. (x − 5)2 = 21 D. (x − 5)2 = 36
Answers
Answer:
D. [tex](x - 5)^{2} = 36[/tex]
Step-by-step explanation:
given equation: [tex]x^{2} - 10x - 11 = 0[/tex]
Write the quadratic equation whose roots are -6 and 5, and whose leading coefficient is 3.
(Use the letter x to represent the variable.)
= 0
Answers
Answer:
The equation is 3x²-6x+5
Given roots are-6,5
Sum of roots = -6+5 = -1
Product of roots = -6 x 5 = -30
Now the quadratic expression is
[tex]3x^{2}+x-30=0[/tex]
Hope this helps you dear;)
Have a good day :3
Graph the line 2x – 3y = 12.
Answers
Answer:
-6, -4
Step-by-step explanation:
I got it right
1/5 is 40% of what number
Answers
Answer:
8
Step-by-step explanation:
To get a fraction of a number, we will simply multiply this fraction by the number.
39-50 find the limit.
41. [tex]\lim _{t \rightarrow 0} \frac{\tan 6 t}{\sin 2 t}[/tex]
Answers
Write tan in terms of sin and cos.
[tex]\displaystyle \lim_{t\to0}\frac{\tan(6t)}{\sin(2t)} = \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)}[/tex]
Recall that
[tex]\displaystyle \lim_{x\to0}\frac{\sin(x)}x = 1[/tex]
Rewrite and expand the given limand as the product
[tex]\displaystyle \lim_{t\to0}\frac{\sin(6t)}{\sin(2t)\cos(6t)} = \lim_{t\to0} \frac{\sin(6t)}{6t} \times \frac{2t}{\sin(2t)} \times \frac{6t}{2t\cos(6t)} \\\\ = \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right)[/tex]
Then using the known limit above, it follows that
[tex]\displaystyle \left(\lim_{t\to0} \frac{\sin(6t)}{6t}\right) \times \left(\lim_{t\to0}\frac{2t}{\sin(2t)}\right) \times \left(\lim_{t\to0}\frac{3}{\cos(6t)}\right) = 1 \times 1 \times \frac3{\cos(0)} = \boxed{3}[/tex]
How many solutions are in 18+6x=20+6x
Answers
Answer:
the equation has no solutionStep-by-step explanation:
How many solutions are in 18+6x=20+6x
18+6x=20+6x
take away 6x from both side
18 = 20
the equation has no solution, 18 is not 20.
I need the answer because i been trying to figure this out for 20 minutes
Answers
Answer:
sqrt (65) = 8.062 units = x
Step-by-step explanation:
use Pythagorean theorem for a right triangle
a ^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
4^2 + x^2 = 9^2
x^2 = 9^2 - 4^2
x^2 = 65
x = sqrt 65
Answer:
c
Step-by-step explanation:
what is 1 2/3 - 2 1/3
Answers
Answer:
-2/3
Step-by-step explanation:
[tex]= 1 \frac{2}{3} - 2 \frac{1}{3}\\=\frac{1 * 3 + 2}{3} - \frac{2 * 3 + 1}{3} \\= \frac{5}{3} - \frac{7}{3}\\ = \frac{5 - 7}{3} \\\\= \frac{-2}{3}[/tex]
Type the correct answer in each box. use numerals instead of words. consider the quadratic equation x2 10x 27 = 0. completing the square leads to the equivalent equation (x )2 = .
Answers
The equivalent equation using the completing the square method is (x+5)² = -2
Completing the square method.Quadratic equations are equation that has a degree of 2. Given the equations expressed as:
x^2+10x+27 = 0
Subtract 27 from both sides
x^2+10x = -27
Complete the squares
x^2+10x = -27
x^2+10x + 5^2= -27 + 25
(x+5)² = -2
Hence the equivalent equation using the completing the square method is (x+5)² = -2
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What is the percentage of 20 from 400?
Answers
(20/400)×100
5%
hope it helps...!!!
Answer:5%
Step-by-step explanation:
40 is 10% so then you half that which is 20=5%
Find a number “a so that the numbers 42, 46, a, a, a have a mean and mode both equal.
Answers
Answer:
44
Step-by-step explanation:
The mode will be a as it is the most in frequency.
Calculating 'a' by taking the mean
42 + 46 + a + a + a / 5 = a88 + 3a = 5a2a = 88a = 44Which has least value when x=100?
Answers
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Which expression has least value when x=100?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\diamond[/tex]
Substitute 100 for x and solve:-
[tex]\bold{\dfrac{1}{100}}[/tex]
[tex]\bold{\dfrac{10}{100}}[/tex]
[tex]\bold{1-100=-99}[/tex]
[tex]\bold{10-100=-90}[/tex]
Since -99 is the smallest number here, the expression with the least value when x=100 is Option C - [tex]\checkmark\dashrightarrow\boxed{\boxed{1-x}}}\dashleftarrow\checkmark[/tex]
Good luck.- - -- - - - - - - - - - - - - - - - - - - -- - - - -
three times a number increased by 2 is greater than zero or less than or equal to negative three
Answers
Step-by-step explanation:
Let the number be X
3×X=3X
Increased by 2
3X+2>0≤-3
Given the quantity of 3 x squared plus x minus 4, all over x minus 1, what are the domain and range? domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal 1 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal negative 1 domain is x is all real numbers where x does not equal negative 1 comma range is y is all real numbers where y does not equal negative 7 domain is x is all real numbers where x does not equal 1 comma range is y is all real numbers where y does not equal 7
Answers
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
What are domain and range?The domain means all the possible values of x and the range means all the possible values of y.
The expression is given below.
(3x² + x - 4) / (x - 1)
The expression can be written as
(3x² + 4x - 3x - 4) / (x - 1)
[(3x + 4)(x - 1)] / (x - 1)
3x + 4
The domain of the expression is a real number except 1 and the range of the expression is also a real number.
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Which function can be used to model the graphed geometric sequence? f(x 1) = five-sixthsf(x) f(x 1) = six-fifthsf(x) f(x 1) = five-sixths superscript f (x) f(x 1) = six-fifths superscript f (x)
Answers
The function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x
Exponential functionsThe standard exponential function is expressed as y = ab^x
Using the coordinates (3, 900) and (4, 750)
Create the equations
900 = ab^3 ............. 1
750 = ab^4 ................. 2
Divide
900/750 = 1/b
b = 75/90
b = 5/6
Determine the value of "a"
900 = a(5/6)^3
900 = (125/216)a
a = 1555.2
Determine the required equation
y = 1555.2(5/6)^x
Hence the function that can be used to model the graphed geometric sequence is y = 1555.2(5/6)^x
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Answer:
a
Step-by-step explanation:
The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.
Answers
Answer:
Number of different options for Ms. Garcia are
3 * 2 * 8 = 48
So 48 options
Step-by-step explanation:
There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)
What is the distance in units between the points (6,-3) and (6,1)
Answers
Step-by-step explanation:
that is in this case totally simple :
both points have the same x value.
that means they are both on the same vertical line at x = 6.
so, we only need to calculate the y difference, and that is then their distance :
1 - -3 = 1 + 3 = 4
the distance is 4 units.
Evaluate the given expression for x = 3 and y = 2.
Answers
Answer:
11
Step-by-step explanation:
3(2) - (3(3) + 2) + 16
6 - (9 + 2) + 16
6 - 11 + 16
11
good luck, hope this helps :)
Find the value of y when x=-2
y=5x+6
y=
Answers
y=-10+6
y=-4
Answer:
Soln;
From the given question, We know that:
x= -2
So,
y= 5x+6
= 5*(-2)+6
= -4 Ans
Therefore, The value of y is -4.I will multiply twenty negative numbers together, with fifteen positive numbers. If the value of my number is x, how does it compare to zero? Fill in the blank using >, <, or, = to make the statement true.
x enter your response here
Answers
Answer:
x = 27
Step-by-step explanation:
Finding variation constant :
k = y/xk = 18/9k = 2Substituting in the equation y = kx, where y = 54 :
54 = 2xx = 54/2x = 27Does Anybody know this? Find the area of the shaded sector
Answers
Step-by-step explanation:
your teacher was very nice and warned you about the trap in the question.
so, really, what do we have to do ?
a full circle represents 360°.
the shaded sector is the full circle minus the white sector !
this is the same as directly calculating the shaded sector for 360-75 = 285°.
so, the area of a circle is
pi×r²
in our case
pi×20² = 400pi
the needed fraction of the whole circle is either
75/360, if we want to subtract it for the solution
or
285/360, if we want to calculate the solution directly.
both lead to the same result.
400pi×360/360 - 400pi×75/360 =
= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =
= 316.6666666...pi ≈ 316.7pi
Each edge of this cube is 6.7 cm long.
Work out
a) volume
b) surface area
Answers
Answer:
Hii.. The answer of the volume is 300.74 cm
And the surface area is 269.34 cm
Answer:
V=6.7×6.7×6.7
=300.763 cm^3
SA=6×6.7×6.7
=269.34 cm^2
There are two squares. the perimeter of square x is half the perimeter of square y.
how do the areas of the two squares compare?
o a. the area of square x is one-sixteenth the area of square y.
o b. the area of square x is one-eighth the area of square y.
oc. the area of square x is one-fourth the area of square y.
d. the area of square x is one-half the area of square y.
Answers
The area of square x will be one-fourth of the area of square y. Then the correct option is C.
What is a square?It is a polygon with four sides. The total interior angle is 360 degrees. A square's opposite sides are parallel and all sides are equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.
There are two squares.
The perimeter of square x is half the perimeter of square y.
Let the side of the square x be a and the side length of the square y be b. Then we have
Perimeter x = Perimeter y / 2
4a = 2b
2a = b
Then the area of the square x will be
Area of square x = (2a)²
Area of square x = 4a²
Then the area of the square y will be
Area of square x = (b)²
Area of square x = b²
Then the area of square x will be one-fourth of the area of square y.
Thus, the correct option is C.
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A volleyball has a surface area of 1 465cm^2 Calculate the volume of five volleyballs. Round your answer to the nearest THOUSAND.
Answers
The volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
We know the surface area of the sphere is given by:
SA = 4πr²
1465 = 4πr²
r = 10.79 cm
Volume of the sphere = 4πr³/3
V = 4π(10.79)³/3
V = 5262.03 cubic cm
Volume of five volleyballs = 5×5262.03 = 26310.15 cubic cm
Thus, the volume of five volleyballs is 26310.15 cubic cm if the volleyball has a surface area of 1465 square cm.
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how do you measure the perimeter of a shape
Answers
Perimeter is a measure of the area or distance around a two-dimensional shape. On a rectangle, for instance, the perimeter is the total length of the rectangle's outline, including the two widthwise borders and the two lengthwise borders.
To determine the perimeter of a shape, therefore, you add together all the dimensions that make up the shape's outer edge. Being able to find the perimeter of a shape has many applications in the real world. Say, for example, that you wanted to build a fence around your backyard. In order to purchase materials, you need to know how much fencing you'll need, and to determine that you have to figure out the perimeter of the area you want to fence in.
What is the surface area of a cube with a side length of 3 inches?
Answers
54
Step-by-step explanation:
Find the area of on side of the cube...it's a cube so all sides are the same
3x3=9
multiply the area of one face by the number of faces, 9x6=54
Please help, Write the sum.
Answers
[tex]12\sqrt{23 x^{13}}+14\sqrt{23 x^{13}}\\\\=(12+14)\left(\sqrt{23 x^{13}}\right)\\\\=26\left(\sqrt{23 x^{13} }\right)\\\\=26\sqrt{23} \sqrt{x^{13}}\\\\=26\cdot 23^{\tfrac 12} \cdot x^{\tfrac {13}2}[/tex]
What is the first incorrect step?
A Angelina did not make a mistake. Her work is correct
B Angelina first made a mistake in Step 3. The formula she should have used is an = 0n-1 + d.
Angelina first made a mistake in Step 4. When she distributed the - 7 to the -1, she should have gotten +7
D Angelina first made a mistake in Step 6. In order to find the 41st term, she should have plugged 40 into her equation.
Answers
1. Find the synonym in this sentence that hints at the meaning of the underlined word:
Nelly was astounded-the party was a complete surprise.
surprise
party
complete
Nelly
Answers
Answer:
Step-by-step explanation:
Surprise! It is the closest to the noun " astounded "
Answer:
surprise
Step-by-step explanation: