Answer:
Step-by-step explanation:
The domain is the allowed 'x' values that the function can take on without it being undefined. The natural log function is undefined for negative numbers and zero. It can only take on positive inputs. Therefore, we can set up an inequality:
[tex]3-4x > 0[/tex]
Subtrauct 3 on both sides:
[tex]-4x > -3[/tex]
Divide both sides by -4. When you divide an inequality by a negative number, you must switch the sign of the inequality:
[tex]x < 3/4[/tex]
Therefore, our allowed 'x' values is anything less than 3/4:
-∞ < x < 3/4
Factor rs - 5s + 5r - 25 by grouping
Answer:
(s+5)(r-5)
Step-by-step explanation:
From the first 2 terms, we can factor s to get
rs - 5s = s(r-5).
Similarly, we can factor 5 form the last 2 terms to get
5r - 25 = 5(r-5).
The original expression then becomes
s(r-5) + 5(r-5).
From here, we can treat (r-5) as a single term and factor the rest to get
(s+5)(r-5),
and we are done.
Pls help me
Pls show your answer pls and thank you
Answer:Pls help mePls show your answer pls and thank you
Pls help mePls show your answer pls and thank you
Step-by-step explanation:Pls help mePls show your answer pls and thank you
bot responded dont reply
this is a k 12 question
HELP
BRAINLEIST
AND 15 points!!!
Answer:
the product is 20 hope its helps :)
Step-by-step explanation:
The most common ages of children that use the library are
Answer:
12-17
Step-by-step explanation:
this is right. trust (:
NO LINKS!!!! Please help me with this problem
Answers:
a) x+y = 70b) The graph is shown below. The lines intersect at (20, 50) meaning that she has 20 quarters and 50 dimes.========================================================
Explanation:
a)
x = number of quarters
y = number of dimes
x+y = number of dimes and quarters
x+y = 70 coins total
-----------
b)
Use a graphing tool like Desmos or Geogebra to plot each linear equation on the same xy grid. I'm using Geogebra to get what is shown below.
The red line 25x+10y = 1000 goes through (0,100) and (40,0)
The blue line x+y = 70 goes through (0,70) and (70,0)
The two lines intersect at (x,y) = (20,50)
This means x = 20 and y = 50 pair up together.
Kateri has 20 quarters and 50 dimes
20 quarters = 20*25 = 500 cents = 500/100 = $550 dimes = 50*10 = 500 cents = 500/100 = $5Total value = $5 + $5 = $10
Also note that 20 quarters + 50 dimes = 70 coins total
Both conditions have been confirmed.
Help With this question
Answer:
i think it is 523.6
Step-by-step explanation:
α=4/3πr3=4/3·π·53≈523.59878
Hope This Helps
Tell whether the triangle with the given side lengths is a right triangle
14mm, 19mm, 23mm
Answer:
not a right triangle
Step-by-step explanation:
The side lengths of a right triangle will satisfy the relation given by the Pythagorean theorem:
c² = a² +b²
23² = 14² +19²
529 = 196 +361
529 = 557 . . . . . . . . not true; not a right triangle
__
The longest side (23 mm) is too short for a right triangle, so the angle opposite will be smaller than 90°. This is an acute triangle.
_____
If you're doing a bunch of these comparisons, use of a triangle solver app or spreadsheet can help.
In AABC, m ZA=36° and m ZB =92°. What is M
?
m∠C = 52°
The total interior angle of a triangle sum ups to 180°Solve:
m∠A + m∠B + m∠C = 180°
36° + 92° + m∠C = 180°
m∠C = 180° - 92° - 36°
m∠C = 52°
Answer:
m∠C = 52°Step-by-step explanation:
Angle Sum Property
∠A + ∠B + ∠C = 180°Here we have :
∠A = 36°∠B = 92°Solving :
36° + 92° + ∠C = 180°∠C + 128° = 180°∠C = 52°Look at the following solution of the equation x raised to the power of 6=64.
x raised to the power of 6=64
so, x raised to the power of 3=8
so, x=2
There is an error in this solution. Write a corrected version.
Answer:
Nothing wrong with the solution x = 2
Step-by-step explanation:
2^6 = 64
2^3= 8
Hence x = 2
If the spinner below is spun twice, find the probability that it lands on N, then a vowel.
Answer:
0.29 or 29%
Step-by-step explanation:
There are 7 options per spin. Of which 3 vowels.
For 2 spins, total spins is 14.
conditions:
First spin is 1/7
Second spin is 3/7
so,
4/14 = 0.29 or 29% I think
Need help with this asap please
The value of PN is 7.5 if the triangles KLJ and NPM are similar triangles.
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
The triangles KLJ and NPM are similar triangles.
So the sides of triangle are proportional.
KL/JL = PN/PM
Substitute the values:
5/6 = PN/9
Apply cross multiplication:
45=6PN
Divide both sides by 6:
45/6= PN
7.5=PN
Hence, the value of PN is 7.5.
To learn more on similar triangles click:
https://brainly.com/question/29731302
#SPJ3
Which ones are functions and which are not?
Answer:
relation 2 is not a function.
Step-by-step explanation:
objects in function can only have one image.
H
Write the decimal as a fraction.
0.5 = 11
[?]
Simplify your answer completely.
Step-by-step explanation:
The answer to Your Question in the image is 2/3
2/3=0.6_
Simplify the radical expression. [tex]\sqrt{400/5}[/tex]
Answer:
option c is correct answer
Step-by-step explanation:
since 4×4×5=80
While 400/5=80
find the L.C.M of 4x3 - 9x, 10x2 - 15x
Answer:
20x³ -45x
Step-by-step explanation:
The least common multiple of two expressions is the product of their unique factors.
__
4x³ -9x = x(4x² -9) = x(2x -3)(2x +3) . . . . factors of 1st expression
10x² -15x = 5x(2x -3) . . . . . . . . . . . . . . . . factors of 2nd expression
The unique factors are 5, x, (2x -3), and (2x +3). Their product is ...
5(4x³ -9x) = 20x³ -45x . . . . least common multiple
Marguerite can save 130 pictures on a DVD.How many pictures can be stored on 7 DVDS
Answer:
910 pictures can be stored on 7 DVDs.
Step-by-step explanation:
130 X 7 = 910.
Dans une boîte, il y a des jetons de différentes formes (triangle, disque flèche) décorées avec trois sortes de motif.
Flèch
Formes Triangle
30
Disque
10
Total
48
Motif
Motif 1
Motif 2
Motif 3
9
AD
4
16
90
45
23
Total
Answer:
The anwer for the top row is 30, 10, 8, and 48. The next row is 9, 8, 9, and 26. The next row is 6, 4, 6, and 16. The last row is 45, 22, 23, and 90.
Step-by-step explanation:
6. In acertain school the following data was compiled from a survery a 80 students 40study physics 30study chemistry 25study neither physics nor chemistry .how many students study
physics and chemistry?
Answer:
40+30
70÷2
35
hope this helps
I'm an even number.
I'm > 758 and <893.
I'm a multiple of 100.
What am I?
Answer:
800
Step-by-step explanation:
Multiples of 100 to 1000:
100, 200, 300, 400, 500, 600, 700, 800, 900, 1000.
|___________________________| |________|
These dont match the given criteria.
800 is greater than 758 and less than 893.
Hope that helps
What is eleven plus h squared in expression form?
Answer:
h²+11
Step-by-step explanation:
answer is h²+11
h squared= h²
h²+11
A model house has a scale of
lin: 2ft. If the real house is 26 ft
wide, then how wide is the
model house?
Answer: Assuming that you mean 1in:2ft the model house would be 13 inches wide.
Step-by-step explanation: well 1 is half of 2 right? So if you want to get the numbers easier to use then just divide that 26 by 2 and then you get the scale 1in:1ft. From there it is easy, 13 feet of the real house= 13 inches in the model house
the original price of an Audio Jukebox was $260 it is on sale for $240. what
percent discount does this represent?
Step-by-step explanation:
Roughly 8%
The exact answer is 7.6923076923
•** Pls Help Me **•
Pls show your work thank you
Answer: 34 cm^2.
Step-by-step explanation: To find the area of a trapezoid, you need to add base 1 and base 2, multiply the height, and divide it all by 1/2. The steps are done below:
Find base 1, base 2, and the height: To find base 1 and base 2, you find the top and bottom lengths of the trapezoid. 5 is the top and 12 is the bottom of the trapezoid. You can assign whichever base to whichever number, as long as base 1 and base 2 have a number. For this problem, we'll assign 5 for base 1 and 12 for base 2. To find the height, you need to find the height of the trapezoid, which is 4.Make an equation: The equation should look like the following... 5 (base 1) + 12 (base 2) x 4 (height) / 1/2.Solve: The first thing you should do when solving is to add the bases together, which is 17. Next multiply the height which is 4, by 17, which is 68. Lastly divide 68 by 2, which can be done in two ways. You can either simply divide 68 by 2 or multiply 68 by 1/2, which will both give you the same answer. 68 x 1/2 = 34.Therefore, your answer is 34 cm^2. There's an image below if you need additional information.
Hope this helps! :)
Prospect Creek, Alaska, holds the U.S. record for the coldest temperature, -62.1C. What is the temperature in Fahrenheit
Answer:
i don't understand the last one?
if i have a dog and she weighs 31.8 kilograms how many grams is equivalent to 31.8 kilograms
Answer:31800grams
Step-by-step explanation:
For what value(s) of b will cause 6x^2+bx-7=0 to have two real number solutions
Answer:
B can be All real values.
Step-by-step explanation:
The discriminant = b^2 - 4*6*-7 > 0
b^2 + 168 > 0
b^2 > -168
All values of b will be > 0.
Simplify: ( 3x + 4xy + 6y ) + ( 4y - 2x + 3xy )
Answer:
x + 7xy + 10y
Step-by-step explanation:
Remove parenthesis:
3x + 4xy + 6y + 4y - 2x + 3xy
Group like terms:
3x + 4xy + 6y + 4y - 2x + 3xy
x + 4xy + 6y + 4y + 3xy
x + 7xy + 6y + 4y
x + 7xy + 10y
hope this helps!
Use the information to answer the question.
A rectangular prism has a volume of 768 cubic inches. The area of the base of the rectangular prism is 48 square inches.
What is the height of the rectangular prism? Enter the answer in the box.
Answer:
16 inches
Step-by-step explanation:
Took the test
Hope this helps <3
Please thank if i got it right <3
f(x) = x + 2 g(x) = 3x^2 - 5. find ( f-g )(x)
Step-by-step explanation:
(f o g)(x)
= f(3x² - 5)
= (3x² - 5) + 2
= 3x² - 3.
[tex]\text{Given that,}\\\\f(x) =x+2\\\\g(x) = 3x^2 -5\\\\\\(f-g)(x) =f(x) -g(x)\\\\~~~~~~~~~~~~~~=x+2 - 3x^2 +5\\\\~~~~~~~~~~~~~~=-3x^2 +x +7[/tex]