Answer:
The interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
Step-by-step explanation:
Consider the provided information.
It is given that [tex]\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7[/tex]
We need to find the value of [tex]f\left(g\left(x\right)\right)[/tex].
Put the value of g(x) in [tex]f\left(g\left(x\right)\right)[/tex].
[tex]f\left(g\left(x\right)\right)=f(x-7)[/tex] ....(1)
Now, put x=x-7 in [tex]\:f\left(x\right)=\sqrt{3x-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3(x-7)-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-21-2}[/tex]
[tex]\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
From equation 1.
[tex]f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}[/tex]
The domain of the function is the set of input values for which a function is defined.
Here, the value of [tex]3x-23[/tex] should be greater or equal to 0 as the square root of a negative number is not real.
Domain= [tex]3x-23\geq0[/tex]
[tex]x\geq\frac{23}{3}[/tex]
The value of x is all real number greater than [tex]\frac{23}{3}[/tex].
Hence, the interval notation for the domain is [tex][\frac{23}{3},\infty ][/tex].
Jan 16, 3:12:20 PM
Subtract 3.x2 + 8x from 9x2 + 3x – 8.
Answer:
Step-by-step explanation:
ok so do this
9x² + 3x - 8 - (3x² + 8x)
distribute the negative sign
9x² + 3x - 8 - 3x² - 8x
simplify
6x² - 5x - 8
hope this helps <3
Step by step explanation
Answer:
[tex]\huge\boxed{\tt{Slope = 0}}[/tex]
Step-by-step explanation:
[tex]\sf (x_{1},y_{1} ) = (6,-5)\\\\(x_{2},y_{2}) = (1,-5)[/tex]
[tex]\sf Slope = \frac{y_{2}-y_{1}}{x_{2}-x{1}} \\\\Slope = \frac{-5-(-5)}{1-6} \\\\Slope = \frac{-5+5}{-5} \\\\Slope = \frac{0}{-5} \\\\Slope = 0\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The ratio copper and zinc in an alloy is 5:7. if the weight of copper is 33.5 g, what is the weight of zinc.?
please answer this question. will give you brainliest. please. ASAP.
Answer:
19.5416g
Step-by-step explanation:
5+7 =12
33.5/12 = 2.7916
2.7916 x 7 = 19.5416g
Step-by-step explanation:
Can any kind soul help me ASAP
The blue is the shaded region
Answer:
200π/3 cm^2
Step-by-step explanation:
The answer is explained in the above photo
help? i cant understand
Help please ?????? I don't understand
Answer:
It's going up by a difference of 70, & 2.
Step-by-step explanation:
Can someone help me pleas
Answer:
2)6h+9c+6
Step-by-step explanation:
3(2h+3c+2)
3*2h=6h
3*3c=9c
3*2=6
6h+9c+6
simplify 2x+1-2x/2x+1
Answer:
1 = 2+ 348/46 (56+35)
Step-by-step explanation:
What is the equation of the line that passes through the points (2, –1) and (6, 1)?
Answer:
y = 2/4x -2
Step-by-step explanation:
if m=7 then what is 5m-6
Answer:
29
Step-by-step explanation:
5(7)-6
35-6
29
Determine the value of x in the figure shown.
Hope it will help you..............
HELP!! Mr. Posey is buying a baseball bat that normally cost $160. It is now on sale for 24% off. If sales tax is 10%, how much will he pay for the baseball bat?
Answer:
he will pay $133.10
Step-by-step explanation:
pls help!!
what would the answer be when rounded to one significant figure.
h(n) = 3^n+3; Find h (3n)
Answer:
[tex] h(3n) = 27^{n}+3 [/tex]
Step-by-step explanation:
[tex]h(n) = 3^n+3 \\ \\ plug \: n = 3n \\ \\ h(3n) = 3^{3n}+3 \\ \\ \red{ \bold{ h(3n) = 27^{n}+3 }}[/tex]
write the equation of the line passing through points (2,-2) and (1,0) in the slope intercept form
Answer:
y=-2x+2
Step-by-step explanation:
Just follow the slope-intercept form formula-
Formula: y=mx+b
Key:
y = y-coordinate
m = slope
x = x-coordinate
b = y-intercept
Let me know if you have any questions, hope this helps! (:
Triangle D E F is shown. Angle D E F is a right angle. The length of hypotenuse D F is 5 StartRoot 2 EndRoot and the lengths of sides D E and E F are 5.
Given △DEF, which is not equal to cos(F)?
sin(F).
sin(D).
tan(F).
cos(D).
Answer: tan(F)
Step-by-step explanation:
Answer: C). tan(F)
Step-by-step explanation:
One week, Paige earned $165.75 at her job when she worked for 13 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $318.75?
Answer: 25 hours
Step-by-step explanation:
From the question, we are informed that Paige earned $165.75 at her job when she worked for 13 hours. This means that her hourly rate will be:
= $165.75 / 13
= $12.75.
The number of hours that she would have to work the next week to earn $318.75 will be:
= $318.75 / $12.75
= 25 hours
The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.
Answer:
₹ 1290Step-by-step explanation:
The total surface area of the room = 2(LW + WH + LH)
TSA = 2(9*5 + 9*6 + 5*6)
TSA = 2(45 + 54 + 30)
TSA = 2(129)
TSA = 258
Hence the total surface area of the room is 258m²
If 1m² = ₹ 5
258m² = 5(258) = ₹ 1290
The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290
Solve for n: 2n = n + 3
Answer:
Step-by-step explanation:
Here you go mate
Step 1
2n=n+3 Equation/Question
Step 2
2n=n+3 Simplify
2n=n+3
Step 3
2n=n+3 Subtract n
answer
n=3
The value of n is given by the equation n = 3
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2n = n + 3 be equation (1)
On simplifying the equation , we get
Subtracting n on both sides of the equation , we get
2n - n = 3
n = 3
Therefore , the value of n is 3
Hence , the equation is n = 3
To learn more about equations click :
https://brainly.com/question/19297665
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when you spin a 2D triangle, it looks like a 3D pyramid. true or false
Answer:
False
Step-by-step explanation:
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
On the left triangle, the shorter side is labeled 4 inches and the longer side is labeled 10 inches. On the right triangle, the shorter side is labeled x inches and the longer side is labeled 20 inches.
The two triangles above are similar. Find the value of x. Be sure to explain your steps.
Answer:
8
Step-by-step explanation:
We are dealing with similaraty and similar shapes length are in proportion so we are going to set up an proportion.
Length of left triangle small side/ Length of left triangle long side= length of right triangle small side/length of right triangle long side
4/10=x/20
Cross multiply: 10x=80
x=8
Answer:
x = 8 inchesStep-by-step explanation:
As the triangles are similar, their corresponding sides will have same ratio:
left short side /right short side = left long side / right long sideor simpler
s₁/s₂ = l₁/l₂Substitute values to find the missing one:
4/x = 10/204/x = 1/2x = 4*2x = 8The missing side is 8 inches long
Given the statement "r varies jointly as s and t". if r =16 when s = 4 and t =6, what is the constant of the variation?
WILL MARK YOU BRAINLIEST
Answer: 4
Step-by-step explanation:
Answer:
PZ = 4
because P is the centre of XYWZ
=> PZ = 1/2.XZ
WP = 1/2. WY
=> PZ + WP = 1/2.(XZ + WY) = 1/2.24 = 12
=> PZ = 12 - WP = 12 - 8 = 4
Plzzz someone help me with these 2 problems I will give you 33 points
please help!! ill give ten points
Answer:
its f
Step-by-step explanation:
00:00
Mr. Herr pays $9 for 2.5 pounds of chicken at the grocery store. What is the cost per pound?
Answer:
3$
Step-by-step explanation:
She ran 52.16 seconds per 400 meters how many seconds did it take her to run 100 meters?
Answer:
13.04
Step-by-step explanation:
since 100 is 1/4 of 400, you divide 52.16 by 4
What is 352 beats in 4 2/5 minutes please help and tell me step by step please
Answer:
352/4.4 =80
Got it?
Please give me Brainly
please help it's due today
Answer:
one pound of meat is $3.89
Step-by-step explanation:
93.36/8=11.67
11.67/3=3.89
Answer:
it is now by this
x^2 by jai ieye play free fire boyahh
Three times a day, Dylan mixes 2 ounces of protein powder into a shake. How many days can he make all three shakes from his 5-pound container of protein powder? Remember, there are 16 ounces in a pound. Enter your answer in the box.
Answer:
13 days
Step-by-step explanation:
To calculate this we first need to find the total number of ounces in the container. We do this by multiplying the total number of pounds in the container by 16oz
5 * 16oz = 80oz
Since Dylan is making three 2oz shakes per day that would mean he is using a total of 6oz (2oz*3) per day. Therefore, in order to find out how many days the container will last we simply divide the total amount of protein powder in the container by the amount he uses every day.
80oz / 6oz = 13.33 days
The container will last 13.33 days but since we cannot count a percentage of a day, then we need to round down to the day in which he will no longer be able to make the three shakes which are 13 days.
Answer:
13
Step-by-step explanation:
no