Answer: C. a set of input values
The domain is the set of allowed x values, aka input values.
With fairly many domain problems, one thing to look out for are things like potential division by zero issues. For example, if you had the function f(x) = 2/(x-3), then we want to avoid the denominator x-3 from being zero. Because x = 3 makes x-3 equal to zero, this means we must kick x = 3 out of the domain; however, any other real number will work. This example function therefore has the domain of any real number but 3.
Square roots are another thing that often comes up with domain problems. One example could be g(x) = sqrt(x+5). We'd want the x+5 to never be negative. Solving [tex]x+5 \ge 0[/tex] leads to [tex]x \ge -5[/tex] to tell us what set of input x values we can plug in: namely anything -5 or larger.
Other types of domain problems can occur, but those two types are most common in my experience.
What is the measure of angle X?
====================================================
Explanation:
Focus on triangle BDH
Interior angles B and D are given to be 40 and 31 respectively. Interior angle H is unknown
For any triangle, the interior angles always add to 180
B+D+H = 180
40+31+H = 180
H+71 = 180
H = 180-71
H = 109
Interior angle H is 109 degrees for triangle BDH
The exterior angle is 180 minus this measure
exterior angle = 180 - (interior angle)
exterior angle = 180 - 109
exterior angle = 71
Note how this is the sum of interior angles B and D, so you could use the remote interior angle theorem here.
are you allowed to simplify a fractional exponent when you are rewriting radicals to have a radical exponent? for example, [tex]\sqrt[8]{y^{2} }[/tex] is written as y^2/8 , but are you allowed to simplify the 2/8 to 1/4?
Answer:
This is true
Step-by-step explanation:
Yes when you make a radical into a power you can simplify the power, like you are saying.
The formula for the area of a square is sº, where s is the side length of the square. What is
area of a square with a side length of 6 centimeters? Do not include units in your answer.
Answer:
36
Step-by-step explanation:
The formula for the area of a square is s², where s is the side length of the square.
If a square with a side length of 6 centimeters then we get,
S = 6
Now, Area of square
= s² = (6)² = 36
A city has a property tax rate of 70 mills and an assessment level of 40%.
What is the effective property tax rate? Round your answer to the nearest
tenth of a percent.
Mill rate is a tax rate—the amount of tax payable per dollar of the assessed value of a property. Mill is derived from the Latin word millesimum, meaning thousandth. As used in property tax, 1 mill is equal to $1 in property tax levied per $1,000 of a property's assessed value.
The graph below shows the survey results for a group of students who were asked how many honors classes they have taken and how many elective classes: How many elective classes would a student likely have taken if he or she has taken 12 honors classes? 15, because y = one halfx + 9 12, because y = y = negative one halfx + 9 6, because y = one halfx + 9 3, because y = negative one halfx + 9
Answer:
3, because [tex]y=-\frac{1}{2}x+9[/tex].
Step-by-step explanation:
Looking at this graph, we can start to determine the equation for it.
The y-intercept of this graph is 9, therefore there will be a constant of 9.
We can find the slope by looking at rise over run. It vertically travels -1 for every 2 horizontally. So the slope is [tex]-\frac{1}{2}[/tex].
Making this into an equation gets us [tex]y=-\frac{1}{2}x+9[/tex].
Now we can substitute 12 into this equation as x.
[tex]y=-\frac{1}{2}(12)+9\\ y=-6+9\\y=3[/tex]
Hope this helped!
Answer:
the other person is correct! C:
Step-by-step explanation:
Which of the following options have the same value as 75\%75%75, percent of 969696?
Answer:
90
Step-by-step explanation:
Create a triangle of your choice on the grid. Measure the lengths of all the sides on the triangle and record them in the table.
Step-by-step explanation:
The program I used tells me the lengths, though I could use the law of cosines or Pythagoras's Therom for this.
AB: 2
BC: 3
AC: About 3.61
Also, point A is (-2, 4), point B is (-2, 2), and point C is (1, 2)
Hope this helps!
Dylan is driving to a concert and needs to pay for parking. There is an automatic fee
of $5 just to enter the parking lot, and when he leaves the lot, he will have to pay an
additional s2 for every hour he had his car in the lot. How much total money would
Dylan have to pay for parking if he left his car in the lot for 6 hours? How much
would Dylan have to pay if he left his car in the lot for t hours?
Answer:
17
Step-by-step explanation:
6 x 2 = 12 so 12 + 5 = 17
Dylan would have to pay $17.
For such questions it is best to form an expression.
The parking fee has a fixed cost of $5.
It also has a cost per hour of $2.
This means that if a person spends t hours at the parking lot, they will have to pay $2 per hour for those t hours.
Expression = 2 x t = 2t
Whole expression including the fixed amount is:
5 + 2t
If Dylan parked for 6 hours therefore, he would pay:
= 5 + 2 t
= 5 + 2 x 6
= $17
Dylan would therefore have to pay $17 if he left his car for 6 hours.
Find out more at https://brainly.com/question/21294839.
Determine the intercepts of the line.
Y-intercept: (_,_)
X-Intercept: (_,_)
Can you just answer this question quickly please what is the answer to 420 12 it is multiplication. thanks
Answer:
the answer to 420 times 12 is 5,040
Step-by-step explanation:
Answer: The answer would be 5040.
Step-by-step explanation:
integers
[tex]18 \div ( - 9) = [/tex]
[tex] - 10 \div 2 = [/tex]
[tex] - 2 + ( - 6) = [/tex]
[tex] - 8 - 4 = [/tex]
[tex]( - 2 \times - 12) \div (18 \div - 9 = [/tex]
[tex](120 - 30) \div ( - 42 - 3) = [/tex]
[tex]1000 \div (125 \times - 2) = [/tex]
[tex](5 - 30) \div ( 8 - 3) = [/tex]
[tex]12 \div (4 - 8) = [/tex]
please mark this answer as brainlist
A teacher orders 20 copies of a new graphic novel for his class to read. Each of the books weighs the same amount. The total weight of all the books is 10 pounds, What is the weight of 1 book?
Answer:
Each book weighs 1/2 lbs
Step-by-step explanation:
Take the total weight and divide by the number of books
10 lbs/20 books
1/2 lbs per book
Each book weighs 1/2 lbs
[tex]x^{2} +5x+3[/tex]+2x^{2}+10x-15=0
please mark this answer as brainlist
PLEASE HELP ASAP :))
Sophie tried to evaluate an expression. Here is her work:
92 : 32.2 + 7.6
= 81 - 9.2 + 7.6
Step 1
= 9.2 + 7.6
Step 2
= 18 + 7.6
Step 3
= 25.7
Step 4
= 175
Step 5
Is Sophie's work correct?
Yes, Sophie's work is correct
No, Sophie made a mistake going from Step 1 to Step 2
O No, Sophie made a mistake going from Step 3 to Step 4.
No, Sophie made a mistake going from Step 2 to Step 3
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
37/50 of a number is what percentage of that number?
Answer:
74% percentage of 37/50
Answer:
74%
Step-by-step explanation:
37/50 * 100 = 74%
When you want to obtain percentages, in most of the cases you multiply by 100.
NEED HELP!
Create a table of points from the equation f (x)= 3x^2 -8x + 2
Answer:
The second table
Step-by-step explanation:
To create table of points using the function, [tex] f(x) = 3x^2 - 8x + 2 [/tex], substitute the value of x in each case.
Thus,
For x = -1,
[tex] f(-1) = 3(-1)^2 - 8(-1) + 2 = 3(1) + 8 + 2 = 3 + 8 + 2 [/tex]
[tex] f(-1) = 13 [/tex]
For x = 0
[tex] f(0) = 3(0)^2 - 8(0) + 2 = 3(0) - 0 + 2 = 0 - 0 + 2 [/tex]
[tex] f(0) = 2 [/tex]
For x = 1,
[tex] f(1) = 3(1)^2 - 8(1) + 2 = 3(1) - 8 + 2 = 3 - 8 + 2 [/tex]
[tex] f(1) = -3 [/tex]
For x = 2,
[tex] f(2) = 3(2)^2 - 8(2) + 2 = 3(4) - 16 + 2 = 12 - 16 + 2 [/tex]
[tex] f(2) = -2 [/tex]
For x = 3,
[tex] f(3) = 3(3)^2 - 8(3) + 2 = 3(9) - 24 + 2 = 27 - 24 + 2 [/tex]
[tex] f(3) = 5 [/tex]
The second table is the correct answer.
E
What is the value of x in the equation 3x.. by y 18, when y27
Answer:
x = 15
Step-by-step explanation:
We need to find the value of x in the equation 3x – y = 18 when y = 27.
To find the value of x, put y = 27 in the above equation.
So,
3x - 27 = 18
3x = 45
x = 15
So, the value of x is 15.
help me please!!!!!!!!
Answer:
BC = 29.4
Step-by-step explanation:
30² = 20² + BC² -2•20•BC•cos(108)
900 = 400 +BC² -12.4•BC
900 -400 = BC² -12.4•BC
BC² -12.4•BC -500 = 0
Solve the equation using Bhaskara and you'll find two possible values for BC, which are:
BC = -17 and BC = 29.4
A negative number doesn't make sense because it is a side of a triangle, so we choose BC = 29.4
expand (x-4)^4 with binomial theorem or pascal's triangle
Answer:
(x-4)^4=x⁴+4x³(-4)¹+6x²(-4)²+4x¹(-4)³+(-4)⁴
=x⁴-16x³+96x²-256x+256
PLS SIMPLIFY b3·b^−5·b^11
A) b^9
B) b^15
C) b^19
D) b^-165
Answer:
a) b⁹
Step-by-step explanation:
b³ • b⁻⁵ • b¹¹
add the exponents
b³ ⁺ ⁽⁻⁵⁾ ⁺ ¹¹
b⁹
Answer:
b^9
Step-by-step explanation:
b^3·b^−5·b^11
Since the bases are the same, and we are multiplying, we can add the exponents
b^(3+-5+11)
b^9
What is the Answer to: 120 Times 2/3
Answer:
80
Step-by-step explanation:
You could multiply by 2 and then divide by 3
120*2 = 240
240/3 = 80
Or you could divide by 3 and then multiply by 2
120/3 = 40
40*2 = 80
Answer:
80Step-by-step explanation:
120 × 2/3= 120/1 × 2/3= 240/3= 80[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
am thinking of a number multiplying it by 4 then subtracting 6 the answer is greater than 14. Write the inequality
solve for r 5(r-10)= -51
Answer:
r= -1/5
Step-by-step explanation:
Step 1: Remove the parentheses (5r-10= -51)
Step 2: Move the constant to the right-hand side and change the sign (5r= -51 + 50)
Step 3: Calculate the sum of -51 +50 (5r = -1)
Last Step: Divide both sides by the equation by 5 (r = -1/5)
The solution for r in the equation is -1/5
The equation given is 5(r-10)= -51
To solve this question, use the distributive property. The distribute property entails expanding the terms in the bracket. This means multiply the terms in the bracket by 5
5(r - 10)
= 5 x (r - 10)
= 5r - 50
The equation then becomes : 5r - 50 = -51
The second step is to combine similar terms. This would be done by making use of the additive property of equalities: 50 would be added to both sides of the equation
5r = -51 + 50
5r = -1
The third step is to divide both sides of the equation by 5
(5r / 5) = (-1 /5)
r = -1/5
A similar question was solved here : https://brainly.com/question/17224218
Someone help asapppp
Answer:
1
Step-by-step explanation:
Answer:
1/ a
Step-by-step explanation:
go to desmos graphing calculator :) yea
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Solve the equation for X (If possible please show work)
Answer:
the correct answer is x=5
Which statement about the transformation is true?
Consider the transformation.
It is isometric because the side lengths remained the
same.
It is isometric because all angle measures remained the
same.
It is not isometric because the side lengths did not remain
the same.
It is not isometric because the angle measures did not
remain the same.
The image of the transformation is missing so i have attached it;
Answer:
Option C - The transformation is not isometric because the lengths did not remain the same.
Step-by-step explanation:
Transformation means that it preserves the length of the original figure which means that it is a distance preserving transformation.
Now, from the image of the question attached, the two figures can be said to be isometric if they are congruent.
Now, for the figure displaying the transformation we can see that the size of the original figure has changed.
We can see that the figure is dilated by a scale factor of 2 as each of the sides of the polygon which is a trapezoid is increased by a factor of 2.
Due to the fact that the lengths of sides of the original figure and transformed figure are are not same, we can say that the lengths are not preserved.
Thus, the transformation is not isometric because the lengths did not remain the same.
Answer:
C : It is not isometric because the side lengths did not remain the same.
Credits go to the person above me.
;)
Step-by-step explanation:
EDGE 2021
A weather balloon holds 2,600 cubic meters of helium. The density of helium is 0.1755 kilograms per cubic meter. How many kilograms of helium does the balloon contain?
Answer:
The balloon contains 456.3 kg of helium
Step-by-step explanation:
Density=mass / volume
Volume=2600 cubic meters of helium
Density=0.1755 kilograms per cubic meters
Mass=x
Find mass, x
Density=mass / volume
Mass=Density × volume
=0.1755 * 2600
=456.3 kg
The balloon contains 456.3 kg of helium
Find the distance of (2,5) and (-1,3)
Answer:
[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Use the distance formula:
[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]
Insert the values:
[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]
Simplify:
[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]
The distance between the two points is the square root of 13.
:Done
Answer: [tex]\sqrt{13}[/tex] or 3.61
Step-by-step explanation:
[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]
[tex]\sqrt{9+4}[/tex]
[tex]=\sqrt{13}[/tex]
What is the surface area of the rectangular prism below?
A. 736 units2
B. 812 units2
C. 706 units2
D. 824 units2
Answer:it’s A
Step-by-step explanation:
took the test