Answer:
kids at playground
children are too young to know calorie count and the health benefits of certain foods. So they would simply choose the one they think tastes best
. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13
Answer:
2 sqrt(2x-1)
Step-by-step explanation:
f(x) = sqrt( x+9)
g(x) = 8x-13
f(g(x))
place the function g(x) in for x in f(x)
f(g(x)) = sqrt(8x-13+9)
Combine like terms
f(g(x)) = sqrt(8x-4)
Factor out 4
f(g(x)) = sqrt(4*(2x-1)
2 sqrt(2x-1)
[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]
[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]
g(x) will be put on the place of x[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]
[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]
Professor Goodheart has two exams, exam 1 and exam 2. The exam 1 weights 40% and the exam 2 weights 60% of the final grades. Put the grades on the exam 1 on the horizontal axis and the grade on the exam w on the vertical axis. What kind of preference a student should have for these two grades
Answer:
Imperfect substitutes
explanation:
The choices above are not perfect substitutes, meaning they can not be perfectly or directly replace the other. Imperfect substitutes are close substitutes but not perfect substitutes. Unlike perfect substitutes, imperfect substitutes satisfies same utility but has different characteristics and therefore not entirely substitutable. For example, while one may want to have the 40 marks too, he'd rather have 60 marks even if the criteria for a 60 mark score was increasingly hard.
Simplify (x³ - y²)(x+y) divided by (x² - y²)³
can you guys give me proper explanation?
Answer:
x^4 - yx^3 - xy^4 - y^5
Step-by-step explanation:
(x³ - y²)(x+y) / (x² - y²)³
(x^3 - y^2) (x+y) / (x^6 - y^6)
(x^3 - y^4) (x+y)
x^4 - yx^3 - xy^4 - y^5
find the missing length
Answer:
it is an rigjt angle triangle you shoult pythogores therom if you will know it it will be easy to you to understand this question
Help pls :(
Solve for x.
-4 + 3x = 20
Answer:
x = 8
Step-by-step explanation:
Given
- 4 + 3x = 20 ( add 4 to both sides )
3x = 24 ( divide both sides by 3 )
x = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-4 + 3x = 20}\\\rightarrow\large\textsf{3x - 4 = 20}\\\\\large\text{ADD 4 to BOTH SIDES}\\\large\textsf{3x - 4 + 4 = 20 + 4}\\\large\text{CANCEL out: \textsf{-4 + 4} because that gives you \textsf 0}\\\large\text{KEEP: \textsf{20 + 4}} \text{ because it gives you the \textsf{x-value}}}\\\\\large\textsf{20 + 4 = \bf 24}\\\\\large\text{DIVIDE 3 to BOTH SIDES}\\\\\mathsf{\dfrac{3x}{3}= \dfrac{24}{3}}\\\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because that gives you \textsf 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps gives you the result of the \textsf{x-value}}\\\\\mathsf{x = \dfrac{24}{3}}\\\\\large\textsf{x= 24}\div \large\textsf{3}}\\\large\textsf{x = \bf 8}\\\\\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 8}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The figure below is a square. Find the length of side x in simplest radical form with a
rational denominator.
X
oc
Answer: 2
Submit Answer
Just need some help
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
45 - 45 - 90 Triangles
When one leg = x, the hypotenuse = x[tex]\sqrt{2}[/tex]
So, if the hypotenuse is 1, then divide by [tex]\sqrt{2}[/tex] to get the leg.
[tex]\frac{1}{\sqrt{2} }[/tex] rationalize denominator.
[tex]\frac{1}{\sqrt{2}}[/tex] × [tex]\frac{\sqrt{2}}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2}}{\sqrt{2} \sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{\sqrt{4}}[/tex] = [tex]\frac{\sqrt{2}}{2}[/tex]
Mary has borrowed 48 books from the library. This is 22% of all of the books in the library. How many books are in the library?
Answer:
218
Step-by-step explanation:
ATQ,
22%of total books = 48
Let the total no. of books in library be x.
22/100x=48
x=4800/22
X=218(approximately)
Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)?
Answer:
(1c times 9/5) +32
That is the way to figure out °1c as 33.8°
Hope it helped
HELP PLEASE ASAP
The following box plot shows the number of years during which 24 schools have participated in an interschool swimming meet:
A box and whisker plot is drawn using a number line from 0 to 10 with primary markings and labels at 0, 5, 10. In between two primary markings are 4 secondary markings. The box extends from 1 to 6 on the number line. There is a vertical line at 3.5. The whiskers end at 0 and 8. Above the plot is written Duration of Participation. Below the plot is written Years.
At least how many schools have participated for 1 year or less?
6 schools
8 schools
12 schools
14 schools
Answer:
6 schools
Step-by-step explanation:
The answer is 6 schools.
In a box and whisker plot, every piece of whisker or box represents 25% of the whole number of schools.
The schools participated 1 year or less are represented by the left part of the whisker. Which stands for 25%.
To make an equation we need to set 100% = 24 and solve for 25% :
[tex] \frac{25}{100} = \frac{x}{24} [/tex]
solvr and x=6
Factor the polynomial x^2+9x+8 using the pattern x^2+(a+b)x+ab=(x+a)(x+b)
Answer: final answer is (x+1) (x+8)
We need two numbers that...
Add together to get 9
Multiply together to get 8
Try 1 and 8:
1+8 = 9
1*8 = 8
therefor the answer is (x+1) (x+8)
name all sets of number for -15
Answer:
all negative number to -15
Find the solutions to x2 = 28.
A. x = 14,2
O B. x = +2./14
O C. X = +2,7
O D. x = -7/2
Answer: [tex]x = \pm2\sqrt{7}\\\\[/tex]
Work Shown:
[tex]x^2 = 28\\\\x = \pm\sqrt{28}\\\\x = \pm\sqrt{4*7}\\\\x = \pm\sqrt{4}*\sqrt{7}\\\\x = \pm2\sqrt{7}\\\\[/tex]
This can be rewritten into [tex]x = 2\sqrt{7} \ \text{ or } \ x = -2\sqrt{7}[/tex]
Rachel's birthday party will cost $18 if she invites 6 guests. What is the unit rate?
Answer:
3
Step-by-step explanation:
Answer:
$3 per guest
Step-by-step explanation:
18/6
= 3
Drag the tiles to the boxes to form correct pairs. Not all tiles will be used. Match each verbal description to its equivalent function rule as applied to the given function below. The function f stretched vertically by a factor of 2 and translated down by 3 units. arrowBoth The function f reflected about the y-axis and translated 3 units left. arrowBoth The function f stretched vertically by a factor of 3 and translated up by 2 units. arrowBoth The function f translated 2 units down and 3 units right. arrowBoth
Answer:
The function f stretched vertically by a factor of 2 and translated down by 3 units. ---> [tex]g(x) = 14x +7[/tex]
The function f reflected about the y-axis and translated 3 units left. ---> [tex]g(x) = -7x-16[/tex]
The function f stretched vertically by a factor of 3 and translated up by 2 units. ---> [tex]g(x) = 21x +17[/tex]
The function f translated 2 units down and 3 units right. ----> [tex]g(x) = 7x -18[/tex]
Step-by-step explanation:
Explanation could not be submitted; So, I added it as an attachment
Answer: answer below :)
Step-by-step explanation:
Question 1
Drag the orange points on the cylinder and the cone to change their radii and heights. (Make sure the Freeze height
checkboxes are not checked.) Set equal radii and heights for the cylinder and the cone, and note their respective volumes.
Record the volumes for a few sets of heights and radii, and calculate the ratio of the volumes in each case. Remember, make
sure the height and radius of the cone and the cylinder are the same in each pair. (You might see some discrepancies in the
tool due to rounding of decimals.) Round your calculations for ratio to the hundredths place. The first one has been done for
you.
Answer:
.
Step-by-step explanation:
2: 5, 10, 261.8, 785.4, 0.33
3: 7, 20, 1,026.3, 3,078.8, 0.33
4: 8, 6, 402.1, 1,206.4, 0.33
5: 12, 11, 1,658.8, 4,976.3, 0.33
Simplify 6 - (-2) - 3(-5).
-11
-7
19
23
Answer:
23
Step-by-step explanation:
6-(-2)-3(-5)
you first have to multiply the signs
a negative×a negative is a positive.positive times negative is negative, positive times positive is positive.
so for this question
6+2+15
23
I hope this helps
Geometry, please answer question ASAP
Answer:
XY = 24
Step-by-step explanation:
In similar triangles, the corresponding sides are in same ratio.
[tex]\frac{AC}{XZ}=\frac{AB}{XY}\\\\\frac{x+6}{30}=\frac{16}{2x-4}[/tex]
Cross multiply,
(x + 6 )(2x-4) = 16*30
Use FOIL method
x*2x + x*(-4) + 6*2x + 6*(-4) = 480
2x² - 4x + 12x - 24 = 480 {Combine like terms}
2x² + 8x - 24 = 480
2x² + 8x - 24 - 480 = 0
2x² + 8x - 504 = 0
Divide the entire equation by 2
x² + 4x - 252 = 0
Sum = 4
Product = -252
Factors = 18 , -14 {18 +(-14) = 4 & 18*(-14) = -254 }
x² + 4x - 252 = 0
x² + 18x - 14x - 252 = 0 {Rewrite middle term}
x(x + 18) - 14(x + 18) = 0
(x + 18)(x - 14) = 0
x - 14 = 0 {Ignore x + 18 = 0 as measurement will not come in negative}
x = 14
XY = 2x - 4
= 2*14 -4
= 28 - 4
= 24
Find cos A and cot B exactly if a=15 and b=11 , what will Cos A be and Cot B be?
Answer:
D. <15/√346>
Have a nice day! :)
Si confused as to how to solve this
Answer:
x^2, 10-x , 1.5x -5
Step-by-step explanation:
What is the area of this triangle?
I can't type it I have to solve on a paper for you
Find the midpoint given the endpoints (4,-10) (22,-4) Please do not use space when
typing in your answer
Answer: (13,-7)
Step-by-step explanation:
By using the formula [tex](x_{m},y_{m}) =(\frac{x_{1}+x_{2} }{2},\frac{y_{1}+y_{2} }{2} )[/tex]
[tex](x_{m},y_{m})\\[/tex] is the coordinates of the midpoint.
For finding the midpoint X variable do:
[tex](\frac{4+22}{2})=13[/tex]
For finding the midpoint Y variable do:
[tex]\frac{-10+(-4)}{2} = -7[/tex] (you can either keep the parenthesis or take them out. Either way, the answer is the same.
Considering coordinate numbers follow the format: (x,y), you'll simply just substitute the numbers found above into their respective places.
x: 13
y: -7
(13,-7).
Help me pleaseeeeeeee
Answer:
The surface area is:
276cm^2
Step-by-step explanation:
10x5=50x2=100
4x5=20x2=40
10x4=40x2=80
100+40+80=220
6x2=12x4=48
2x2=4x2=8
48+8=56
220+56=276
A waitress pours 3/4 gallon of orange juice equally into 5 pitchers. what fraction of a gallon of orange juice is in each pitcher?
Answer:
15/100
Step-by-step explanation:
3/4 or a gallon is equal to 75/100
Because its 5 pitchers we divide by 5 and 75 divided by 5 is 15
Mis Gurung is a bank Manager in a development bank. She draws Rs 75000 every month and a Dashain bonus of one months salary. Find her income tax in a year.
Answer:
With new regime is 183,750Rs
Step-by-step explanation:
I. 75,000 * 13 [12 months + 1 month bonus] = 975,000
II. Ms.Gurung tax rate will be ₹37500 + 15%
III. Perform ratio x/975,000 = 15/100 [15% is 15/100] = 146,250
IIII. ₹37500 + 146,250 = 183,750Rs
It depends on how tax rate will costs, could be more or less.
Help with both plz :)
Step-by-step explanation:
Concept Required :-
BODMASBrackets , Of , Division , Multiplication , Addition , Subtraction .
Solution 9:-
We are here given ,
32 ÷ 10 - 8 ÷ 2 -3Putting brackets after and before 10 -8
32 ÷ ( 10 - 8 ) ÷ 2 - 3On simplifying,
32 ÷ 2 ÷ 2 - 3 16 ÷ 2 - 3 8 - 3 5Expression :- 32 ÷ (10 -8) ÷ 2 - 3
Solution 10 :-
We are given,
1/2 × 12 ÷ 2 - 2 + 11Putting brackets ,
1/2 × ( 12 ÷ 2 - 2 ) + 111/2 ( 6 - 2 ) + 111/2 × 4 + 112 + 1113Expression :- 1/2 × (12 ÷ 2 - 2 ) +11
Step-by-step explanation:
1. 32 ÷ 10 - 8 ÷ 2 - 3
32 ÷ 2 ÷ 2 - 3
16 ÷ 2 - 3
8 - 3
5
2.
½ × 12 + 2 - 2 + 11
6 + 2 - 2 + 11
19 - 2
17
name least to greatest
3780
3.78
0.378
378
0.0378
Answer:
0.0378
0.378
3.78
378
3780
Answer: 0.0378, 0.378, 3.78, 378, 3780
Step-by-step explanation:
What is 6/10 + 9/10 in simplest form?
Answer: 3/2
Step-by-step explanation:
Given
6/10 + 9/10
Add the numerator together
= (6 + 9) / 10
Simplify by addition
= 15 / 10
Simplify to simplest form by division
= (15 ÷ 5) / (10 ÷ 5)
= 3 / 2
Hope this helps!! :)
Please let me know if you have any questions
Hello there! The answer is:
3/2 OR 1 1/2
Step-by-step explanation:
With like denominators we can add the numerators.
6 + 9 = 15.
Then that answer over the denominator which gives us 15/10. Then simplifying the answer.
That gives us: 3/2 = 1 1/2
I hope this answer helps you out. Let me know if you have any questions/concerns.
142°
3xº + 220
X =
degrees.
Step-by-step explanation:
hope it will help you market is brilliant
What is the interquartile range of this data set? 1,5,12,14,29,45,48,61,72,84,96
Answer:
60
Step-by-step explanation:
Q1 = 12
Q3 = 72
the interquartile range = Q3-Q1 = 72-12 =60
What is the scale factor of this dilation?
A 2/3
B 1 1/2
C 3
D 5
Answer:
B. 1 1/2
Step-by-step explanation:
The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.