The domain is all values of x that makes the expression defined.
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
What is the domain of the given function?Given the function in the question;
y = 5√(6−2x)
To find the domain, set the radicand greater than or equal zero and solve for x.
6 - 2x ≥ 0
Subtract 6 from both sides
6 - 6- 2x ≥ 0 - 6
-2x ≥ -6
Divide both sides by -2
-2x/-2 ≤ -6/-2
x ≤ -6/-2
x ≤ 3
Therefore, the domain is;
Set-Builder Notation: {x| x ≤ 3 }
Interval Notation: (-∞,3]
Learn more about domain here: https://brainly.com/question/28135761
#SPJ1
Willow has a board that is 10 feet long. She needs to cut the board into equal pieces that are 1/3 feet long.
How many pieces can she cut?
Answer:
12
Step-by-step explanation:
i need help PLEASE DONT GIVE ME THE BITLY LINKS
Answer:
610
Step-by-step explanation:
area of triangle is A=0.5*h*b
a=0.5*20*(8+8+15)
a=310
area of square=lh
a=15*20
a=300
300+310=610
Jaime went to have a haircut that cost $40. She wanted to tip the hair stylist 20% and tax is 6.25%. How much did she spend total for the haircut?
8⁶ ÷ 8?
can yall help me my brains gone dead
Answer:
32768
Step-by-step explanation:
8^6 is 262144, divide by 8. Your answer is 32768
Answer:
32768
Step-by-step explanation:
8 to the power of 6 is 262144
262144 divided by 8=32768
also invite me to ur brains funeral
what is the correct value of 3x + 2 for x = 5?
Answer:
17
Step-by-step explanation:
3x + 2
x = 5
3x + 2
3(5) + 2
15 + 2
17
[tex]\boxed{The\:value\:of\:3x\:+\:2\:for\:"x\:=\:5"\:is\:17.}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex]3x + 2 \\ = 3(5) + 2 \\ = 3 \times 5 + 2 \\ = 15 + 2 \\ = 17[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
y 65° 25
can someone solve this ?
The average weekly salary of two employees is $5350. One makes $250 more than the other. Find their salaries.
One employee makes $
and the other makes $?
Answer:
g
Step-by-step explanation:
g
Evaluate the expression: 15(6 – 4)
WILL MARK BRAINLIEST
Answer:
30
Step-by-step explanation:
15(6 – 4)
=15(2)
=30
Answer:
larespuesta a conseguir sería 86
50PTS 50PTS don’t explain just answer.
Answer:
[tex] \sf \: x = 7[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of x.
Forming the equation,
→ 2x + 5 = 3x - 2
Then the value of x will be,
→ 2x + 5 = 3x - 2
→ 2x - 3x = -2 - 5
→ -x = -7
→ [ x = 7 ]
Hence, the value of x is 7.
40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue
40% of Damien’s marbles are 6/5 or 1.2.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
Damien has three marbles.
40% of Damien’s marbles are blue.
That means,
40% of 3 blue marbles.
So, using the percentage formula,
40% of 3,
= 40 x 3/100
= 120/100
= 12/10
= 6/5
= 1.2
Therefore, 1.2 marbles are blue.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ1
6^7/6^5 in index form
Answer:
[tex]6^{2}[/tex]
Step-by-step explanation:
When dividing numbers with same bases with indices this is the rule:
[tex]\frac{x^{y}}{x^{z} } =x^{y-z}[/tex]
So the answer is:
[tex]6^{7-5} = 6^{2}[/tex]
PLEASE ASAP ILL GIVE BRAINLIEST.
Answer:
The first law of motion
Step-by-step explanation:
What is 200/51 equal to
Answer:
Approx 3.92
Step-by-step explanation:
In altitude BH and angle bisector AL intersect at point M. Given m∠HML = 100° and m∠MLC = 110°. Find angles of △ABC
The angles of triangle ABC are 60 degrees when altitude BH and bisector AL intersect at point M.
What is equilateral triangle?
An equilateral triangle in geometry is a triangle with equal-length sides on all three sides.
Given that:
[tex]\angle HML = 100 \\\\\angle MLC = 110[/tex]
Since, BH is the altitude [tex]\angle MHC= 90[/tex].
The total angle of a quadrilateral is 360, hence:
100 + 110 + 90 + C = 360
C = 60 degrees.
Now consider triangle BHC:
The sum of angle of a triangle is 180, hence:
90 + 60 + B = 180
B = 30
Since the half angle B = 30, the entire [tex]\angle ABC = 60[/tex].
Consider triangle ABC:
Using sum of triangles, we have:
[tex]\angle A + \angle B + \angle C = 180\\\\\angle A + 60 + 60 = 180 \\\\\angle A = 60[/tex]
Hence the measure of angles of triangle ABC is 60 degrees.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
help me on this one bro I hate math
The initial amount of the investment is $800, the investment grows at the rate of 10% each year, and the value of the investment after 12 years is $1760.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates from the graph.
(0, 800), (1, 880), (2, 968)
x-coordinate is the number of years and the y-coordinate denotes the Value.
Now,
The initial amount of the investment is when x = 0.
= 800
Now,
Rate of change of the value each year.
=(880 - 800) / (1 - 0)
= $80
Rate of percentage.
= 80/800 x 100
= 10%
Now,
The value of the investment after 12 years.
= 800 + 12 x 80
= 800 + 960
= $1760
Thus,
The initial amount of the investment is $800.
The investment grows at the rate of 10% each year.
The value of the investment after 12 years is $1760.
Learn more about coordinates here:
https://brainly.com/question/13118993
#SPJ1
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'. Write 2 equations that could be used to solve for missing lengths?
2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Now, According to the question:
Two quadrilaterals are similar if their corresponding angles are equal and also their corresponding sides must be proportional.
Quadrilateral ABCD is similar to quadrilateral A'B'C'D'.
ABCD ~ A'B'C'D'
So,
[tex]\frac{AB}{A'B'} = \frac{BC}{B'C'}\\ \\ \frac{CD}{C'D'} = \frac{AD}{A'D'}[/tex]
Hence, 2 equations that could be used to solve for missing lengths are:
[tex]\frac{AD}{A'D'} = \frac{BC}{B'C'}[/tex]
Learn more about Quadrilateral at:
https://brainly.com/question/11037270
#SPJ4
10) En un triángulo rectángulo ABC, B es un ángulo
recto y m < A = 23° (medida del ángulo A). Si el
lado opuesto al ángulo A mide 17cm ¿Cuánto
mide la hipotenusa?
Answer:
140
Step-by-step explanation:
Primera tienes que sumar 23 y 17 despues tienes que buscar la differencia de 180 y 40.
28.2, 27.22, 27.62 , 27.54 , 27.5 in Greatest to Least
Answer:
28.2, 27.63, 27.54, 27.5, 27.22
Answer: 28.2, 27.62,27.5,27.22
Step-by-step explanation:
You fill a 13 1/2 gallon tub 1/9 full of water. How many gallons of water are in the tub?
Answer:
2
Step-by-step explanation:
Complete the table with values for x or y that make this equation true : 3x+y=15.
Answer:
Step-by-step explanation:
So first, with the given table you need to "plug-in" the numbers that are there for x and y.
Ok, for example 2 is listed in the "x" row. So plug it 2 for "x":
3x+y=15
3(2)+y=15
6+y=15
-6 -6
y=9
So do this for all of them...the same goes with all of the values...just plug in one, complete the steps then you'll get the answer for the other variable.
Hope this helps!
Find the range, mean, median and mode for the scores. Round to the nearest tenth when necessary.a.40; 75.5; 75; 75c.40; 74.5; 75; 100b.35; 75.5; 75; 75d.40; 74.5; 75; 75
Simplify the expression. (-3+ 4n²) - (5 - 2n²)
Answer:
2(3n^2-4) and 6n^2-8
Step-by-step explanation:
There are two different answers but try at least both of them.
A vegetable store sold 3 fewer tons of vegetables on the first day than on the second, and on the third day it sold 5 9 of the amount sold in the first two days. How many tons of vegetables did the store sell on each of the days if it sold a total of 98 tons of vegetables on those three days
On solving the provided question, we can say that by equation
30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x = amount (ton) of vegetables sold on day one; y = amount (ton) of vegetables sold on day two. Z = the amount of vegetables sold on the third day (in tons).
[tex]x=y-3\\z=(5/9)*(x+y)\\x+y+z=98\\x+y+[(5/9)*(x+y)]=98\\ 9x+9y+5x+5y=882\\14x+14y=882\\x=y-3\\14x+14y=882[/tex]
solution
[tex]x=30\\y=33\\x+y+z=98---- > z=98-(x+y)---- > z=98-63--- > 35[/tex]
30 tons of veggies were sold on the first day, 33 tons on the second day, and 35 tons on the third day.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ4
1. Find the value of the expressions using the correct order of operations.
a. -8 +5 (-3))
b. 5. (
29)
- 8+ -15 = -23
c. -57-4-3
0
d. 4+ (-5). 5-6
e. 3.-5. (-5)
f. (-5 + 4) 8
-8
21
8.
P: -64.-16 -
2
-5
i. -8
4
2. Find the value of the expressions when x = -2 and y - 5.
a. x(y + 1) -2 (5+1)
b. xy + 1
c. -2(x + y)
What is the sum of all the positive two-digit integers where one of the digits is three times the other
The sum of all the positive two-digit integers where one of the digits is three times the other is 630.
To arrive at this result, the numbers can be broken down into two groups. The first group consists of numbers with 3 as the first digit, and the second group consists of numbers with 3 as the second digit.
For the first group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9. This gives a sum of 3+6+9+12+15+18+21+24+27 = 135.
For the second group, the sum is calculated by multiplying the 3 by all the numbers from 1 to 9 and then reversing the digits. This gives a sum of 30+60+90+12+51+81+21+42+72 = 495.
The total sum of all the positive two-digit integers where one of the digits is three times the other is 135+495 = 630.
For more questions like Integers click the link below:
https://brainly.com/question/490943
#SPJ4
what can 18 and 6 both be divided by
Answer:
6
Step-by-step explanation:
they can both be divided by 6
Answer:
they can both be divided by 6
Step-by-step explanation:
18÷6=3
6÷6=1
How many triangles are there in the following figure 18 17 16 15?
There are 15 triangles in the given figure. Each of the four shapes in the figure can be divided into four triangles.
The figure contains four triangles, each with three sides. To calculate the total number of triangles in the figure, we can multiply the number of sides of each triangle by the number of triangles. Therefore, the total number of triangles in the figure is 3 x 4 = 12.
However, the figure also contains two additional triangles that are formed when three of the triangles intersect. To calculate the total number of triangles, we must add the two additional triangles to the 12 triangles we calculated earlier. Thus, the total number of triangles in the figure is 12 + 2 = 14.
Since the figure also has three more sides, it can be divided into one more triangle. Therefore, the total number of triangles in the figure is 14 + 1 = 15.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ4
What additional information would be necessary to determine sin A?
We can determine sin an in the above triangle using the available information without applying the Pythagorean theorem since the length of BC is required because it is the side opposite A.
We are told that we must calculate sin(a) without utilizing the Pythagorean theorem.
Now, we can see from the abbreviation SOHCAHTOA that if we wish to determine Sin a, it will be; sin a = opposite/adjacent
We must now locate a side opposing the angle A or the hypotenuse.
As a result, since the triangle is ABC, the required side is BC because it is the side opposite to A.
Finally, the length of BC is required because it is the side opposite A.
For more questions on Pythagorean theorem:
https://brainly.com/question/343682
#SPJ4
The complete question should be like:
What additional information would be necessary to determine sin(A) without using the Pythagorean theorem? Explain.
Write a recursive formula for an,the nth term of the sequence 125, -25, 5, ...
Recursive formula for a(n) , the nth term of the sequence is
⇒ a(n) = 125 × (5)ⁿ⁻¹
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
We have to given that;
The sequence is,
⇒ 125, - 25, 5 , ....
Clearly, The sequence is a geometry sequence with common ratio - 5 and first term 125.
We know that;
The nth term of geometry sequence is,
⇒ a(n) = a rⁿ⁻¹
Where, 'r' is common ratio and 'a' is first term of the sequence.
Substitute all the values, we get;
The nth term of the given sequence is,
⇒ a(n) = a rⁿ⁻¹
⇒ a(n) = 125 × (5)ⁿ⁻¹
Learn more about the geometric sequence visit:
https://brainly.com/question/25461416
#SPJ1
Find the greatest common factor of $144$ and $405$.
Answer:The answer to your question is 9