Answer:
Reminder: [tex]log _a x[/tex] answers the question: "what power do I have to raise a to in order to get x?"
Thus said.
[tex]1. \ 64= 2^6 = 4^3 \implies log_464=3\\2. \ 5^1 = 5 \implies log_55 = 1\\3.\ 3^1=3; \ 2^1=2 \implies Log_33 + log_22 = 1+1=2\\4.\ 5^1=5; \ 8^1=8 \implies log_55 - log_88=1-1=0\\5. \ 8=2^3; 32=2^5 \implies log_28+log_232 = 3+5=8[/tex]
Last one, if you already talked about log properties, can be handled as:
[tex]log_28+log_232= log_2(8\times32) = log_2256 =8\ (256=2^8)[/tex]
FACTORISATION
i) Factorise:
4a(a-b)+3b(b-a)
4a(a - b) + 3b(b - a)
= 4a² - 4ab + 3b² - 3ab
= 4a² - 4ab - 3ab + 3b²
= 4a² - 7ab + 3b²
= (a - b) (4a - 3b)
________
Hope it helps ⚜
Lyla grew 16 flowers with 2 seed packets.
How many seed packets does Lyla need to have
a total of 40 flowers in her garden?
Assume the relationship is directly proportional.
seed packets
Help now.no spam.no links PLEASE HELP NOW.
Answer:
Lyla needs 5 seed packets to have a total of 40 flowers.
Hope this helps!
Step-by-step explanation:
16 / 2 = 8
Lyla can grow 8 flowers using 1 seed packet.
(5) 8 <- (5) 1
40 <- 5
Lyla can grow 40 flowers using 5 seed packets.
Determine whether each function is even, odd, or neither.
f(x) = x²_9
g(x) = |x-3
f(x) = 22-1
g(x) = x + x2
Rule for even
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=f(x),x\in D_f}[/tex]
Rule for odd
[tex]\\ \sf\longmapsto \boxed{\sf f(-x)=-f(x),D_f}[/tex]
Here D_f means domain of function.#1
[tex]\\ \sf\longmapsto f(x)=\sqrt{x^2}-9[/tex]
Take x=4[tex]\\ \sf\longmapsto f(4)=\sqrt{4^2}-9=4-9=-5[/tex]
[tex]\\ \sf\longmapsto f(-4)=\sqrt{(-4)^2}=4-9=-5[/tex]
Even function✓#2
[tex]\\ \sf\longmapsto g(x)=|x-3|[/tex]
Take x=2[tex]\\ \sf\longmapsto g(2)=|2-3|=|-1|=1[/tex]
[tex]\\ \sf\longmapsto g(-2)=|-2-3|=|-5|=5[/tex]
[tex]\\ \sf\longmapsto -g(2)=-1[/tex]
Odd function✓#3
[tex]\\ \sf\longmapsto f(x)=\dfrac{x}{x^2-1}[/tex]
Take x=3[tex]\\ \sf\longmapsto f(3)=\dfrac{3}{3^2-1}=\dfrac{3}{9-1}=\dfrac{3}{8}[/tex]
[tex]\\ \sf\longmapsto f(-3)=\dfrac{-3}{(-3)^2-1}=\dfrac{-3}{8}[/tex]
[tex]\\ \sf\longmapsto -f(3)=\dfrac{-3}{8}[/tex]
Odd function ✓#4
[tex]\\ \sf\longmapsto g(x)=x+x^2[/tex]
Take x=1[tex]\\ \sf\longmapsto g(1)=1+(1)^2=2[/tex]
[tex]\\ \sf\longmapsto g(-1)=-1+(-1)^2=0[/tex]
[tex]\\ \sf\longmapsto -g(1)=-2[/tex]
Neither✓Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
15 Brian spends 1 hours carving the parts for a model airplane. He
spends 3 times as long
assembling and painting the model. How
many hours does Brian spend carving, assembling, and painting
the model? Explain how you found your answer.
Publishing Company. Image
Answer:
4 hours
Step-by-step explanation:
1 hour x 3 = 3 hours
So Brian spent 3 hours assembling and painting the plane
However the question asks for the total time, so we would do:
1 hour + 3 hours to get 4 hours
So in total, Brian spent 4 hours carving, assembling and painting the plane
Hope this makes sense.
HELP ASAP WILL GIVE BRAINLIEST OR MORE POINTS
Answer:
the first option
Step-by-step explanation:
hope this help have a great rest of your night :)❤
What is the value of x?
Answer:
x=23
Step-by-step explanation:
3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.
:))
i need this one fast too so if you can please help fast
IM FAILLING PLZ HELPPPPP MEEEE
Answer: (x+ 13, y+13)
Step-by-step explanation:
is the answer i chose correct ?
Answer:
The answer is "yes. they're similar CDEF ~ QRST, scale factor; 4/3
Step-by-step explanation:
If you multiply 3 by 4/3. The answer will be 12/3 or 4.
If you multiply 6 by 4/3. The answer will be 24/3 or 8.
Help me please Research
Answer:
i think the details given for the question is in sufficient or question is wrong
fingernails grow about 0.0123 centimetres per day. write this rate in scientific nation
Answer:
1.23 x 10^-2
5. The dollar value of a moped is a function of the number of years, I, since the moped
was purchased. Tſie function, f, is defined by the equation f(t) = 2,500 - (1)'.
What is the best choice of domain for the function f?
A. -10 <1 <10
B.-10 <<0
C.O << 10
DO < t < 100
A similar image that is 10 times bigger write the rule
Answer:
× times 10
Step-by-step explanation:
that image times 10
Please help me please help meee
Answer:
A
Step-by-step explanation:
As it is 7 people that like blue
Line m passes through points (10, 7) and (3, 4). Line n is parallel to line m . What is the slope of line ?
Answer:
The slope is 3/7 or ~0.43
Step-by-step explanation:
The equation for slope is y2-y1/x2-x1
7-4=3
10-3=7
3/7=0.428
Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much does she use on 1 pizza. How much does she use on 15 pizzas.
Answer:
32.5
Step-by-step explanation:
10 ounces is in 4 pizzas so if we want 15 pizzas we need to count up
4 can not fit into 15 so we have to stop at 12 pizzas.
Now we need to add 3 pizzas
:Note: that one pizza is 2.5 of an ounce out of 10 ounces
so after you add the 3 pizzas you have 15 but that wasnt 4 pizzas so you have 2.5 ounces left over you add those ounces to the 30 you got from the 12 ounces which you have 30 and add it to the ounces left over
2.5 + 30 = 32.5
1) Round 26.728 to the nearest integer
What
work out the equation of the line which has a gradient of 1/2 and passes through the point (-4,2)
A movie store sells DVDs for $11 each. What is the cost, C, of n DVDs?
Please help quickly please
Answer
169
Step-by-step explanation:
What is the slope of the line that passes through the points (-9,10 ) and (-6,9 )?
Answer:
Step-by-step explanation:
(9-10)/(-6 - - 9) = -1/3
help me please on my math I need All of this FACTORS and the LCM
Answer:
the LCM is :
1. 144
2.40
3.870
4. 63
5.216
6.150
7. 112
8.162
9. 96
10. 40
Bobbi wanted to purchase a shirt that had an original price of $38.99 at the store where she works. She gets an employee discount of 25%. How much will she need to pay for the shirt?
Answer:
29.2425
Step-by-step explanation:
25%=0.25
38.99 * 0.75 = 29.2425
h3elpppp pleaseeeehejejrhegss
Answer:
First is 1, then 2, then 10
Step-by-step explanation:
I think this is right, could be completely wrong but I did blank times 50 equals 50, that is 1. Repeated with all the problems.
Mr. Holland is leaning a ladder against the side of his house to repair the roof. The top of the ladder reaches the roof, which is 3 meters high. The base of the ladder is 4 meters away from the house, where Mr. Holland's son is holding it steady. How long is the ladder? meters
Answer:
use Pythagoras theorem a^2+b^2 = c^2 where c is the longest side of the triangle (hypotenuse)
3^2 + 4^2 = c^2 (c is the length of the ladder)
9 + 16 = c^2
25 = c^2
c = √25 (square root)
c = 5
Answer:
blahhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Step-by-step explanation:
what goes around always come back around
solve pls brainliest
7/40 written as a decimal is 0.175
The answer is 0.175 So easy
Bridget was thinking of a number. Bridget adds 11 then divides by 9 to get an answer of 67.
Form an equation with x from the information.
Answer:
Bridget was thinking of the number 592
correct??
Step-by-step explanation:
Morgan is working two summer jobs, making $19 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work a maximum of 11 total hours and must earn no less than $120. If xx represents the number of hours lifeguarding and yy represents the number of hours walking dogs, write and solve a system of inequalities graphically and determine one possible solution. (Delta Math)
Answer:
(hope this helps can I pls have brainlist (crown))
Step-by-step explanation:
Morgan could work 6 hours lifeguarding and 3 hours walking dogs.
the total number of hours worked in both jobs,
x+y
x+y, must be less than or equal to 11
solve inequalities for y
x+y≤11
y≤11−x
Morgan makes $19 per hour lifeguarding, so in x hours she will make
19x dollars. Morgan makes $6 per hour walking dogs, so in
y hours she will make 6y dollars. The total amount earned 19x+6y
19x+6y must be greater than or equal to
$120
solve inequalities for y
19x+6y≥120
6y≥120−19x
y≥20-19/6x
100 PTS! HELP QUICK!!
Answer:
x=1
Step-by-step explanation: