The domain of the function is [1, ∞) and the range is [0, ∞)
How to determine the domain and the range?The equation of the function is given as:
g(x) = 3√x - 1
The domain is the possible values of x.
Set the radicand to greater than or equal to 0
x - 1 >= 0
Add 1 to both sides
x >= 1
This can be rewritten as:
[1, ∞)
Breakdown
g(x) = 3√x - 1
x - 1 >= 0
x >= 1
[1, ∞)
The range is the possible values of y.
Set the radicand to 0
g(x) = 3 * 0
Evaluate the product
g(x) = 0
This can be rewritten as:
[0, ∞)
Breakdown
g(x) = 3√x - 1
g(x) = 3 * 0
g(x) = 0
[0, ∞)
Hence, the domain of the function is [1, ∞) and the range is [0, ∞)
Read more about domain and range at
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Answer:
Correct answer is D: [1, ∞) and R: (-∞, 0]
Step-by-step explanation:
Insert the given function on desmos to observe the following explanation.
The domain (x values) begin at 1, and go on to positive infinity (the squared bracket indicates a stop/start at that certain point). The range goes into negative infinity (y values) and begins at the y value of 0, so it does not go above that point on the y axis (hence the squared bracket).
) Complete the sentence.
+) Omar can buy ?
pairs of socks.
Answer:
Omar can buy a bunch of pairs of socks.
Step-by-step explanation:
u didnt give me an equation to solve
Answer:
At most of 7
Step-by-step explanation:
Help I will be marking brainliest!!!!
A. 274
B. 300
C. 306
D. 316
Answer:
300 units
Step-by-step explanation:
How much are you paying in tax on a $95 skateboard if the sales tax is 6%? (Just the tax amount!)
95(6%) = 5.7
you are paying $5.70 cents in tax.
5.70
6% of 95 is 5.7
so its $5.70
how do you do trigonometric Ratios
¿Cuál es la mediana de 9,3 y 6,8 ????? or what is the median of 9.3 and 6.8?
Answer:
The median is 8.05
Step-by-step explanation:
mohon bantuannya guys soal limit, thanks
Answer:
im anserring for brainly points
Step-by-step explanation:
none honestly sorry
Hi can someone please help The inverse of a function contains the points (3,12). (-3,10). (2,6), and
(5,7). Which of the following points is contained within the original
function?
(-3,-10)
(-6,2)
(7,5)
(-12,3)
Answer:
(7,5)
Step-by-step explanation:
(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.
Subtract -7x^2+4x+2−7x
2
+4x+2 from x^2-3x
2
−3.
Answer:
-8x² - 12x + 1
Step-by-step explanation:
just add or subtract values with the same terms. eg -7x + 4x ,, etc
Find the missing side length will give crown
Answer: First of all, how much is it in all?
Step-by-step explanation:
Answer:
9 cm
Step-by-step explanation:
Call that length x.
We have: x + 5 = 14
=> x = 14 - 5 = 9 cm
solve the system of linear equation by graphing
y=x-7
y=-2x+5
Answer: (4,-3)
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WILL MARK BRAINLIEST!
1. 2x + 7 = 2x - 7
2. 3x + 8 = -2x + 8
3. 4(x + 1) = 4x + 4
Answer:
1. 0 = -14
2. x = 0
3. 0 = 0
Step-by-step explanation:
I hope this helps have a great day
Which additional piece of information would allow you to
prove that the triangles are congruent by the HL theorem?
Answer:
another leg
Step-by-step explanation:
bc thats fax
sorry but the last answer is a bit glitched out
Answer:
Because of the options you have, I believe it is GJ
Step-by-step explanation:
Hope that helps!
1. What must be multiplied to (x + 1) to obtain (x2 + 4x + 3)?
2. A cube has a side measure of (5x), find the volume of the cube.
3. Find the circumference of a plate if its radius measures (x + 7).
4. A notebook cost (2x + 5) pesos while a pencil cost (x - 7) pesos. What is the total cost
of 5 notebooks and 2 pencils?
5. A box measures (a + 2) cm by (a - 2) cm by 4 cm. Find the volume of the box.
6. The cost of 1 kilo of chicken is (x2 + 8x - 3). How much a 4 kilos of chicken cost?
Answer:
[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]
Order the values below from least to greatest.
Least
1
2 x 104
2
5.3 x 10-2
3
1.56 x 103
4
7.6 x 102
Greatest
please help me i have no idea how to do this and i’m failing
Answer:
x = 6.4
Step-by-step explanation:
ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4
Answer:
x=5
Step-by-step explanation:
see image
i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.
Find the slope!! Please helpp
Answer:
slope = 1/2
Step-by-step explanation:
the line is rising 1 box for every 2 boxes it goes over
Answer: Y=1/2x+3 (1/2 should be your slope)
Step-by-step explanation:
PLEASE HELP ME ASAP I NEED THEM IN THE NEXT 5 MINUTES
Answer:
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Step-by-step explanation:
C = (0, 7)
Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.
Therefore, plug x = 0 in y = 2x +1, we find:
y = 2*0 + 1 = 0 + 1 = 1
Hence, coordinates of point A are (0, 1).
Now, by distance formula:
[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]
[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]
[tex] AC= \sqrt{0 +36 }[/tex]
[tex] AC= \sqrt{36 }[/tex]
[tex] AC= 6\: units[/tex]
Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:
[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]
[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]
[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]
[tex] CB =\frac{6}{2.24} [/tex]
[tex] CB =2.68\: units [/tex]
By Pythagoras Theorem:
[tex] AB=\sqrt{AC^2 - CB^2} [/tex]
[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]
[tex] AB=\sqrt{36 - 7.18} [/tex]
[tex] AB=\sqrt{28.82} [/tex]
[tex] AB=5.36842621\: units [/tex]
[tex] AB\approx 5.37\: units [/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]
[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]
[tex] A(\triangle ABC) = 7.1958[/tex]
[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]
Hope it be correct.
someone pls help it's worth tons of points
Answer:
x = 8 b = -1 m = 3 x = 4
k = 4 m = 5 n = 8 x = -3
p = -7 x = -3 x = 8 v =1 x = 0
Step-by-step explanation:
Problem 44. The sum of a certain quantity "p" together with two-third of that number, and one-third of that number, becomes 234. What is the quantity "p"? (HINT: Write the equation out and solve)
Answer:
[tex]p=117[/tex]
Step-by-step explanation:
Given number is [tex]p[/tex].
Two-third of the number = [tex]\frac{2}{3}p[/tex]
One-third of the number = [tex]\frac{p}{3}[/tex]
The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.
[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]
Which point on the number line best represents 166 ?
A
B
C
D
7
9
8
B at 7.9
Cat 8.1
D at 8.8
A at 7.3
Answer:
a and b
Step-by-step explanation:
well i dk b
un pantalón se fabrica con 3/7de tela.¿Cuántos pantalones se pueden hacer con 36 metros de tela ?
Answer:
sam has egg plant seeds she puts the seed up her as/s hopeing for big egg plants to come out fast Forward 6 days in the past no egg plant are up her a/ss yet why is thath
Step-by-step explanation:
help I need it :| :|
Step-by-step explanation:
x= 2 y = 10
x= 0 y = 8
x= 4 y = 12
The sum of 2 numbers is 5. The larger number exceeds twice the smaller number by 14. Find the
numbers.
Answer:
I think 4 i don't know I tried
Company had $830,000 in sales, sales discounts of $12,450, sales returns and allowances of $18,675, cost of goods sold of $390,250, and $285,520 in operating expenses. Net income equals:
Answer: $123,105
Explanation:
Sales $830,000
Less: Sales Discounts $12,450
Sales returns $18,675 ($31,125)
Net Sales $798,875
Less: Cost of Goods sold ($390,250)
Gross Profit $408,625
Less: Operating expenses ($285,520)
Net income $123,105
Please help
What is 2 2/3 - 4/5
Answer:
1 13/15 yards
Step-by-step explanation:
2*3 = 6
6+ 2 = 8
8/3 * 5 = 40/15
4/5 * 3 = 12/15
40-12 = 28
28/15 = 1 13/15
Answer:
[tex]1 \frac{13}{15}[/tex]
Step-by-step explanation:
We have two fractions and are being asked to subtract them.
Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.
[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]
[tex]\frac{40}{15} - \frac{12}{15}[/tex]
Now subtract :
[tex]\frac{28}{15}[/tex]
[tex]1\frac{13}{15}[/tex]
broooooooo help me wit this plzz man
Answer:
Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44
Step-by-step explanation:
Hope this helps! i learned this last semester :)
How much greater than a whole is...
A)10/7
B) 6/5
C)4/3
Will give brainiest If correct
Answer:
For A, 3/7 greater than a whole
For B, 1/5 greater than a whole
For C, 1/3 greater than a whole
Step-by-step explanation:
Subtract the number on the left from the number on the right. then put what you get over the number on the right
Answer:
Step-by-step explanation:
A) 10/7 - 1 = 10/7 - 7/7 = 3/7
10/7 is 3/7 greater than a whole.
B) 6/5 - 1 = 6/5 - 5/5 = 1/5
6/5 is 1/5 greater than a whole.
C) 4/3 -1 = 4/3 - 3/3 = 1/3
4/3 is 1/3 greater than a whole.
Help me solve this please!!
Answer:
The answer is
[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]
Answer:
B
Step-by-step explanation:
Using the sine/ cosine ratios in the right triangle and the exact values
sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]
sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )
18 × sin60° = a , then
a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]
-------------------------------
cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )
18 × cos60° = b , then
b = 18 × [tex]\frac{1}{2}[/tex] = 9