Answer:
im pretty sure its D
Step-by-step explanation:
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
Subtract 27 from a number K
Answer:
K - 27
Step-by-step explanation:
You would have to subtract 27 from the number K, so it would be K - 27
Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many house points do class 2 have?
Answer:
Class 2 has 210 house points.
Step-by-step explanation:
630/3 = 210
1 = 210 x 2 = 420
2 = 210
420 + 210 + 630
look at screenshot answer question and i will mark you brainliest
Answer:
[tex]y= -3x+9[/tex]
Step-by-step explanation:
We can easily see from the graph that the equation intersecs the x-axis at p=3 and the y-axis at q=9. Now there is a trick to quickly write the equation in these situations, and it is
[tex]\frac xp + \frac yq = 1[/tex] where p and q are the length of the segments (with their sign!!) the line cuts from the origin.
At this point, it's just a matter of writing the equation in the wanted form:
[tex]\frac x3 + \frac y9 =1\\9\frac x3 + y = 9\\y= -3x+9[/tex]
Which is the equation you want.
If you prefer a more traditional approach, you can determine the slope right away by noticing that when the y coordinate moves from 9 to 0, ie it decreases by 9, the x coordinate goes from 0 to 3, and the slope is [tex]m= {\Delta y \over \Delta x} = {{-9}\over{3}} = -3[/tex]
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/4
of
the drink iS apple juice and 2/5 is orange juice then write the ratio of cranberry juice to apple
juice to orange juice in its simplest form.
Answer:
7/20 cranberry
Step-by-step explanation:
Answer:
7/20 is the answer
Step-by-step explanation:
math!!
Find the value of the variables.
Answer:
x = 56
y = 68
Step-by-step explanation:
Please mark as brain list
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
hope it helps!!!!!!!!!!!!!!!!!!!!!!
How to find factors of a number.
Write a unit rate for the situation.
270 miles in 6 hours
Answer:
45 miles per hour. 270 divided by 6 is 45 there.
Step-by-step explanation:
you start with a given set of rules and conditions and determine something to be true. What type of reasoning did you use?
Answer:
Deductive Reasoning.
Step-by-step explanation:
Basically it’s logical thinking in simply terms.
What is 4+2(5)+(-3)=
Answer:
The answer is 11, I think, hope this helps!
Step-by-step explanation:
=================================================
Solve.
[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]
Therefore, the answer is 11.
=================================================
[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!
Answer:
20258. The missing digit is a 5
Step-by-step explanation:
Ok, let's write the number in a more creative way. That's [tex]21 000 - 700 = 20 300[/tex], minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).
That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]
In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.
I agree with the other person. The answer is 5.
Here's how we can check to see if a number is divisible by 7.
Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.
---------------
Let's use those steps to see if 20,258 is a multiple of 7
Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.
Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.
Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.
Notes:
182 = 26*72009 = 287*720258 = 2894*7---------------
We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.
Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007Repeat the steps until we get something more manageable
Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186Let's do one more round
Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.
If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.
186/7=26.57 2007/7=286.71 20259/7=2894.14This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
What is the charge on an object that has 1. 25 * 10 ^-17.
Answer: To determine the charge on an object, determine the number of excess protons or excess electrons. Multiply the excess by the charge of an electron or the charge of a proton - 1.6 x 10-19 C.
Step-by-step explanation:
12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles
in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation
y= 9/2x; x=10/9
y=2/9x; x=22.5
y=2/9x; y=10/9
Oy=9/2; y=22.5
Answer: y=2/9x; x=22.5
Step-by-step explanation:
Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).
Distance,y = (Speed)*(Time, x)
y = (Speed)x
y = (9/2)x
If x = 5 hours,
y = (9/2)*5, or 22.5
y=2/9x; x=22.5
solve the equation: 4) 12
Ani2n 12)
417
Step 1: Use the distributive property
Step 2: Subtract n from both sides
63
41
Step 3: Simplify:
311
Step 4: Divide both sides by 3
301
3
Step 5: Simplify.
Check the solution to the example problem by replacing
z in the original equation with - 2 and evaluating both
sides. What true statement do you get?
to climinate the fraction in
Answer:
not clear enough
Step-by-step explanation:
Help
I need help with this part
Answer:
[tex]3)y = kx \\ 4)y = kx \\ 5)y = - kx[/tex]
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
for more visit https://brainly.com/question/25552839
please helpp and show your work pleasee
Answer:
[tex]b=27[/tex]
Step-by-step explanation:
[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]
Invisible Steps:
Add 7 on each side of the equation:
[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]
Multiple 3 on each side of the equation:
[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]
[tex]9[/tex] · [tex]3=27[/tex]
A, B & C form a triangle where Z BAC = 90°
AB = 4.8 mm and CA = 6.6 mm.
Find the length of BC, giving your answer rounded
to 1 DP.
Answer:
BC = 8.2 mm
Step-by-step explanation:
This is a right triangle with BC as the hypotenuse
(BC)^2 = 4.8^2 + 6.6^2
(BC)^2 = 23.04 + 43.56
(BC)^2 = 66.6
Take the square root of both sides
BC = 8.1608823052
Rounded
BC = 8.2 mm
using the number 2, 4, 6 and 8 write an expression that equals 60
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
What is the area of this tile?
Answer:
i think its 16 but im not sure
Step-by-step explanation:
6+6+2+2= 16 but im not sure if that how u do it or not
it's been so long since i've done that stuff. 12 in i think
pls help!
Manny charges $1.25 for a cup of lemonade at the lemonade stand. He sells 9 cups. How much money does Manny collect?
Answer:
$11.25
Step-by-step explanation:
1.25 × 9 = 11.25
Answer:
$11.25
Step-by-step explanation:
HELP PLS ASAP PLS PLS PLS
Answer:
Step-by-step explanation:
m = 63°
n = 135°
p = 63°
r = 112.5°
s = 50°
t = 67.5°
Simplify (5p+1.49)-(2p+6.49)
Thank you!
What is the probability of getting 6 as a product explanation and calculation
For an individual die roll, the probability of rolling 6 is \dfrac{1}{6}
6
1
.
Effectively, this problem is asking for P(\text{1st roll is 6}\cap\text{2nd roll is 6})P(1st roll is 6∩2nd roll is 6).
Using the rule of product, this is:
\dfrac{1}{6}\times\dfrac{1}{6}=\dfrac{1}{36}
6
1
×
6
1
=
36
1
.
Need help on this question.
If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.
A = L*w
324 = L*w
324/w = L
P = 2*( L + w)
= 2 * ( 324/w + w)
= 648/w + 2w
= (648 + 2w^2)/w