factorise x squared - 42 squared
Answer:
42 squared is 1764
Step-by-step explanation:
Answer: (x + 42)(x - 42)
Step-by-step explanation:
factorise: x^2 - 42^2
. x^2 - 42^2 have ^2 in common (so you can ignore that).
. put in brackets (x - 42)(x + 42)
. +/- any order really doesn't matter :D
The graph of y = -3x + 4 is:
Answer:
(0,4)
Step-by-step explanation:
Rewrite the statement as an equation. $10
for each x plus $5 for each y equals $1500
Answer:
10x+5y=1500
Step-by-step explanation:
I don't know how to explain this but i think this is right.
g(x) = 30x + 5
h(x) = 10x – 15
Find h(–3) + g(–5)
Answer:
The answer is: -190
Step-by-step explanation:
First, you need to input the -3 into the h(x) equation as follows:
h(-3) = 10(-3) - 15, then solve.
h(-3) = -30 - 15
h(-3) = -45.
Then you do the same for g(-5).
So, g(-5) = 30(-5) + 5
g(-5) = -150 + 5
g(-5) = -145.
Now you add the -45 and -145.
h(-3) + g(-5) = -45 - 145
h(-3) + g(-5) = -190.
g Explain why x is a discrete random variable. A. The event x is a discrete random variable because the values of the random variable are countable and each possible outcome is equally likely. B. The event x is a discrete random variable because the values of the random variable are contained in one or more intervals and each possible outcome is not equally likely. C. The event x is a discrete random variable because the values of the random variable are countable. D. The event x is a discrete
Answer:
Correct option: C
Step-by-step explanation:
A random variable, denote by X, is a variable whose probable values are numeric and are of a random occurrence. There are two types of random variables, discrete and continuous.
A discrete random variable is the one which takes on only a finite number of distinct values such as 0, 1, 2, 3, 4... For example, the number of female members in a family, the daily attendance at a yoga class, the number of defective light bulbs in a box of five bulbs.
The probability distribution of a discrete random variable consist of a list of probabilities related with the respective possible values. It is also known as the probability mass function.
The correct statement describing X is:
C. The event x is a discrete random variable because the values of the random variable are countable.
2. Which of the following uses the Distributive Property?
A. 0.4 x (2a-0.3b) = 0.4 + (2a-0.3b)
B. 0.4 x (2a-0.3b) = 0.8a - 0.12b
C. 0.4 x (2a -0.3b) = 0.8ax 0.12b
Answer:
B
Step-by-step explanation:
It is B because 0.4 times 2 would be 0.8 and 0.3 times 0.4 would be 0.12b.
I need help with 35-38 please!!!
Answer:
-3
Step-by-step explanation:
I can't find the answer
Answer: what grade is this
Step-by-step explanation:
Adding/Subtracting Rational Expressions
9514 1404 393
Answer:
(4x^2 +21x +18)/(3x^2 +34x -24)
Step-by-step explanation:
I find it helpful to keep in mind the form ...
a/b + c/d = (ad +bc)/(bd)
When we apply that to this case, we get ...
[tex]\dfrac{x+3}{x+12}+\dfrac{x+2}{3x-2}=\dfrac{(x+3)(3x-2)+(x+12)(x+2)}{(x+12)(3x-2)}\\\\=\dfrac{(3x^2+7x-6)+(x^2+14x+24)}{(x+12)(3x-2)}=\boxed{\dfrac{4x^2+21x+18}{3x^2+34x-24}}[/tex]
You have 8 quarts of brown stock. You need 3 cups to make one serving of braised short ribs. How many servings can you make? (don't include partial portions)
Answer:
You can make 2 servings.
Step-by-step explanation:
Hi there!
3 cups makes one serving, so 2 servings require 6 cups. Since you don't have 9 cups to make 3 servings, and you don't want partial portions, you can only make 2 servings with 6 cups and have 2 cups left over.
Have a great day!
(I'd also appreicate it if I got a rating and maybe a Thanks please!)
A gardener has 27 pansies and 36 daisies. He planted an equal number of each type of flower in each row. What is the greatest possible number of pansies in each row? I need the answer quick
Answer:
There will be 3 rows of pansies
Step-by-step explanation:
3x - 15 = 7 - 8x how do you solve this
Answer:
X=2
Step-by-step explanation:
3x-15=7-8x
3x+8x=7+15
11x=22
x=[tex]\frac{22}{11}[/tex]
x=2
Answer:
324
Step-by-step explanation:
3x3 = 9
9-15 = -6
8x8=64
7-64=-54
-54 x -6 = 324
What is five times the difference of a number and three?
Btw I need answer immediately
Answer:
t=x+3
y = (x+3)^2 + 5
y = x^2+6x + 9 + 5
y= x^2 + 6x + 14
Answer:
5 times x-3?
Step-by-step explanation:
Sorry if its wrong i didn't really understand what you wanted.
A farmer wanted to distribute 36 mangoes in paper bags, how many ways he can contribute the mangoes equally in paper bags?? Solve this using Factoring, Finding multiples and Divisibility Rules.
Answer:
36 = 2 x 2 x 3 x 3
Step-by-step explanation:
Given:
Number of mangoes = 36
Computation:
Factor of 36
36 = 2 x 2 x 3 x 3
Number of packing = 2 and number of mangoes in each = 18
Number of packing = 4 and number of mangoes in each = 9
Number of packing = 12 and number of mangoes in each = 3
Number of packing = 6 and number of mangoes in each = 6
Number of packing = 36 and number of mangoes in each = 1
8
Write the equation of the line through the
points (-8, -2) and (-4,-3) in POINT-SLOPE
FORM
Answer:
Y=-1/4x-4
Step-by-step explanation:
To find the slope, you would need to use the equation y2-y1/x2-x1 by the coordinates. You would get -3-(-2)/-4-(-8). This would result in -1/4. Now that you have your slope, you plug in one of the coordinates. If you used (-8,-2), you would get -2=-8(-1/4)+b. Simplify the equation to get -2=2+b, which simplifies to -4=b, and b is the y intercept.
what is the product of (2/5x-3/4y^2) and (2/5x+3/4y^2)?
Answer:
[tex]\frac{2x}{5}- \frac{3y^{2} }{4}[/tex]
Step-by-step explanation:
(2/5x-3/4y^2) & (2/5x+3/4y^2) is [tex]\frac{2x}{5}- \frac{3y^{2} }{4}\\[/tex]
Solve for x:3(x+1)=-6
Answer:
x=-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
3(x +1) =-6
3x +3 =-6
3x =-6 - 3
3x=-9
x=-9:3
x=-3
Rick invest $5,830 into a retirement saving account. The account compounds at 3.2% monthly for. How much money will Rick have in 4 years? Show work. Use comma and dollar signs in the final answer.
Answer:
$746.24
Step-by-step explanation:
3.2/100 = 0.032
5,830 X 4 = 23,320
23,320 X 0.032 = 746.24
I need these graphed, they’re easy but I don’t have time to do them since it’s late. Excuse the bad handwriting
Answer:
For #5 all you have to do is set down to points in order for it to count. The answer is: (0,2) and (3,6)
Step-by-step explanation:
In order to find where exactly you must plot the points, we plug in what we know. In our equation, the 2 is our y intercept, this means that the point is (0,2) (Side Note: here's another example, (0,6) the 6 would be our y intercept)
From the point (0,2) we use the other value given. The other value given in this case, is our slope. When dealing with slope, we use Rise over Run or Rise/Run. This means that from the 2 on the graph, you rise 3 which would be 5 and you run to the right for 4. This now gets you the points (3,6)
Hope this helps with plotting the other questions! :)
(SIDE NOTE: IF THEY GIVE THE VALUE WITH X AS JUST A NUMBER, YOU CAN PLACE A 1 UNDER IT TO TURN IT INTO A FRACTION. FOR EXAMPLE 3X CAN BE TURNED INTO 3/1 WHICH WOULD THEN BE RISE 3 AND RUN 1.
(sooory about the caps, it's just to get your attention.)
Let p = log10 x, q = log10 y, and r = log10 z. (The 10s are base numbers.)
Write the expression log10 (x / y^2 √z) in terms of p, q, and r.
Please show work! I have the answer ( p- (2q + 1/2 r) ), but I need to show my work.
Answer:
(p / q^2 √r)
Just make x, y, z into p, q, r.
Very simple!
Please help!!!! I'll give you 15 points!!
Step-by-step explanation:
the answer is C
2/5(2x+3)
I hope it helps
I WILL GIVE EXTRA POINTS!!! HELPPPPP PLEASE!!!! SHOW ALL WORK!!!
Answer: 2x+52=2(x+26)
3x-35=-105
Step-by-step explanation:
Reese wants to organize a party and decides to save money for it.He calculates that he needs $420 in 9 weeks.He already has $60
Mary has 96 muffins which she needs to box up, 5 of which are blueberry, into dozens. How many boxes dose he need
Answer:
8
Step-by-step explanation:
Mary needs 8 boxes to put 96 muffins in dozens so 96÷12 gives you 8
Can someone help
Please
Answer:
Step-by-step explanation:
.
h(x)=x^2-4x-12 in factored form?
k(x)=x^2-4x+8 in factored form?
Answer:
h(x) = (x-6)(x+2)
k(x) is not further factorable
Step-by-step explanation:
h(x) = x²-4x-12
= (x-6)(x+2)
k(x) = x²-4x+8
not further factorable
According to Boyle's Law, if the temperature of a confined gas is held fixed, then the product of the pressure P and the volume V is a constant, suppose that, for a certain gas, PV=800 where P is measured in pounds per square inch and V is measured in cubic inches. Answer the following: (this is calculus)
A) Find the average rate of change of P as V increases from 200in^3 to 250in^3.
B) Express V as a function of P and show that the instantaneous rate of change of V with respect to P is inversely proportional to the square of P.
If PV = 800, then P can be written as a function of V,
P(V) = 800 / V
(a) The average rate of change of P as V increases from 200 to 250 in³ is then
(P (250) - P (200)) / (250 in³ - 200 in³) = (3.2 lb/in² - 4lb/in²) / (50 in³)
... = -0.016 (lb/in²)/in³
(Or -0.016 lb/in⁵, but I figure writing the rate as (units of pressure) per (unit volume) makes more sense.)
(b) We can also write V as a function of P :
V(P) = 800 / P
Take the derivative:
V'(P) = - 800 / P²
which immediately demonstrates that V'(P) ∝ 1 / P², as required. (The fish-looking symbol, ∝, means "is proportional to".)
If differentiating is supposed to be more involved, you can use the limit definition:
[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{V(P+h)-V(P)}h[/tex]
[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800}{P+h}-\frac{800}P}h[/tex]
[tex]V'(P)=\displaystyle\lim_{h\to0}\frac{\frac{800P-800(P+h)}{P(P+h)}}h[/tex]
[tex]V'(P)=\displaystyle800\lim_{h\to0}\frac{-\frac h{P(P+h)}}h[/tex]
[tex]V'(P)=\displaystyle-800\lim_{h\to0}\frac1{P(P+h)}=-\dfrac{800}{P^2}[/tex]
Part(a): The average rate of change of [tex]\frac{dP}{dV}[/tex] is [tex]-0.0164 lb/in^{2}[/tex]
Part(b): The required answer is [tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]
Part(a):
Given,
[tex]PV=800[/tex]
Differentiating the above equation with respect to [tex]V[/tex].
[tex]\frac{dP}{dV}=-\frac{P}{V}[/tex]
Now, at [tex]V=200 in^{3}[/tex] and [tex]P=4 lb/in^2[/tex]
At [tex]V=250 in^3[/tex] and [tex]P=\frac{80}{25} lb/in^2[/tex]
Hence, we can write,
[tex]\frac{dP}{dV}[/tex] at [tex]V=200[/tex] we get,
[tex]\frac{-1}{200}=\frac{-1}{50}[/tex]
Again [tex]\frac{dP}{dV}[/tex] at [tex]V=250[/tex] we get,
[tex]\frac{-80}{25\times 250}[/tex]
So, the average rate of change of [tex]\frac{dP}{dV}[/tex] is,
[tex]\frac{-\frac{1}{50}- \frac{8}{25\times25} }2\\=-\frac{1}{100}-\frac{1}{625}\\=-0.0164 lb/in^2[/tex]
Part(b):
Given,[tex]PV=800[/tex] then,
[tex]V=\frac{800}{P}[/tex]
Now,[tex]\frac{dV}{dP} =-\frac{800}{P^2}[/tex]
Then the above implies,
[tex]\frac{dV}{dP} \infty \frac{1}{P^{2}}[/tex]
Learn more:https://brainly.com/question/12817429
2. Find the distance between (-2,1) and (3,4).
76 divided by 12 in a lixed fraction
6 or. 1/3
hopethishelp
Answer:
6 1/3
Step-by-step explanation:
72/12 = 6.3333 = 6
76 - (12 x 6) = 4
6 4/12
6 1/3
Referring to the methods for calculating average atomic mass, which one is 'incorrect' ?
Mary
Jack
Alan
Alan's method is correct coz to find we add all the given value and divide by the numbers present