Answer: None, 0 real roots
Step-by-step explanation:
To find the discriminant, you simply do [tex]b^2 - 4ac[/tex]
b = 2
a = -1
c = -5
[tex]2^2-4(-1)(-5) = 4 - 20 = -16[/tex]
iff x > 0: 2 roots
iff x < 0: none
iff x = 0: 1 root
Actual Explanation and Intuition behind it:
If the answer is negative, you cant take the square root of the number. Because no matter what, you will always strive for a positive number. Unless you implement calculus, but that is way beyond a middle schoolers level
If the answer is postive, there will be 2 roots because you can make x itself equal to a negative number because when you square it, it will be positive. So the positive and negative value will be an acceptable answer
If the answer is 0, then youre basically doing the square root of 0. Thats equal to 0
The discriminant formula itself comes straight from the quadratic formula, which you should memorize because it is extremely useful.[tex]\frac{-b (+/-) \sqrt{b^2-4ac} }{2a}[/tex]
Any ratio can be written as a complex ratio. Any ratio can be written as a
complex ratio. *
O True
O False
The given statement that any ratio can be written as a complex ratio is;
Option A; True.
A complex ratio is simple defined as a ratio to a ratio.For example if the numerator is a ratio/fraction and the denominator is also a ratio or fraction. Such as; (3/4)/(5/8), (2/3)/(4/5) e.t.c.
Now, let us say we have a simple ratio like 7/8. Now we can also express this as a complex ratio because;7 is same as 14/2
Also, 8 is the same as 24/3.
Thus, we can write that; 7/8 = (14/2)/(24/3)
From the example of converting a simple ratio to a complex one, we can see that any ratio can be converted to a complex ratio.Read more at; https://brainly.com/question/9280099
i need help with this ASAP
Answer:
[tex]1/9[/tex]
Step-by-step explanation:
when you divide a exponents, you subtract them. 4 - 0 = 4
3 to the power of 4 to the power of 2 = 3 to the power of 8, since exponents multiply.
3 to the power of negative 6 * 3 to the power of 8 = 3 to the power of negative 2, since multiplication adds the exponents when the base is equal.
3 to the power of negative 2 is 1/9
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
(30 POINTS WILL GIVE BRAINLEST ONLY RIGHT ANSWERS) Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of change of money in his savings account per week?
ok for real now doesn't make sense to me at all help-
Nate asked some of his friends how many people live in their homes. The answers were: 4,3,3,6, 10, 7, 4, and 3.
What is the range of the data?
Answer:
7
Step-by-step explanation:
10-3=7
A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities. [4×5 marks] A box contains 24 transistors, 4 of which are defective. If 4 are sold at random, find the following probabilities.
a) Exactly 2 are defectives.
b) None is defective.
c) All are defective.
d) At least 1 is defective.
Answer:
a) 10.73%
b) 45.60%
c) 0.0094%
d) 54.4%
Step-by-step explanation:
The probability of one transistor being defective is equal the number of defective transistors over the total number of transistors
a)
The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. The probability of the third one being not defective is 20/22, and the fourth one not being defective is 19/21. We also multiply the final probability by a combination of 4 choose 2, because the defective transistors can be any 2 of the group of 4:
C(4,2) = 4! / (2! * 2!) = 6
P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%
b)
Similar to the letter a), we have:
First one not defective: P = 20/24
Second one not defective: P = 19/23
Third one not defective: P = 18/22
Fourth one not defective: P = 17/21
P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%
c)
First one defective: P = 4/24
Second one defective: P = 3/23
Third one defective: P = 2/22
Fourth one defective: P = 1/21
P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%
d)
If we want at least 1 defective, we just need to subtract 100% from the case where all 4 are not defective:
P = 1 - 0.4560 = 0.5440 = 54.4%
In this exercise we have to use the knowledge of probability to calculate each of the requested probabilities, so we can say that:
a) [tex]10.73\%[/tex]
b) [tex]45.60\%[/tex]
c) [tex]0.0094\%[/tex]
d) [tex]54.4\%[/tex]
a)The probability of the first one being defective is 4/24, and then the probability of the second one being defective is 3/23, because we have one less defective transistor. So the combination will be:
[tex]C(4,2) = 4! / (2! * 2!) = 6\\P = 6 * (4/24) * (3/23) * (20/22) * (19/21) = 0.1073 = 10.73%[/tex]
b)So find the not defective, we have:
First one: P = 20/24 Second one: P = 19/23 Third one: P = 18/22 Fourth one: P = 17/21
[tex]P = (20/24) * (19/23) * (18/22) * (17/21) = 0.4560 = 45.60%[/tex]
c)So find the defective, we have:
First one: P = 4/24 Second one: P = 3/23 Third one: P = 2/22 Fourth one: P = 1/21
[tex]P = (4/24) * (3/23) * (2/22) * (1/21) = 0.000094 = 0.0094%[/tex]
d)We just need to subtract 100% from the case where all 4 are not defective:
[tex]P = 1 - 0.4560 = 0.5440 = 54.4%[/tex]
See more about probability at brainly.com/question/743546
The table below shows the price of movie tickets. Which equation can be used to find the price, p, of t tickets?
Answer:
A
Step-by-step explanation:
Answer: A
Step-by-step explanation:
Draw rectangles such as the ones shown to find fraction equivalent to 2/5 and 1/3 that have the same denominator
Answer:
2/5: 1/3:
6/15 5/15
Step-by-step explanation:
Sorry I couldn't upload a photo for some reason. If you multiply 2/5 by 3 you'll get 6/15, and if you multiply 1/3 by 5 you will get 5/15. I really hope this helps, and yes, I double-checked, it is correct. Have a great day!!!
solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c
Can someone help me out with this?
9) obtuse 10) isosceles
Please help me!!! :(
Answer:
280
Step-by-step explanation:
7*5*4*2=280
Which of the following is a random sample?
Answer:
A.
Step-by-step explanation:
A. City voters were asked about candidates. That seems to be random.
B. A survey about singers took place at a specific concert. Naturally, the people who are there like this singer. It is not random.
C. Customers were asked about food at a pizza shop. Naturally, they like pizza. This is not random.
D. An email survey was sent. Mostly people who own computers will respond. This is not random.
Answer: A.
Can someone help me out
7) Given that Sn=3-2^(-4n)
is the sum of the first n terms of a sequence.
Un is the n term.
a) Express Un+1 in terms of n.
b) Deduce that the
sequence is a geometric progression.
Answer:
Step-by-step explanation:
[tex]s_{n}=3-2^{-4n}\\s_{n+1}=3-2^{-4(n+1)}=3-2^{-4n} *2^{-4}\\s_{n+1}-s_{n}=3-2^{-4n}*2^-4-3+2^{-4n}[/tex]
[tex]=2^{-4n}-2^{-4n}*2^{-4}\\=2^{-4n}(1-2^{-4})\\=2^{-4n}(\frac{2^4-1}{2^4})\\=2^{-4n}\frac{15}{16}\\U_{n+1}=15*2^{-4(n+1)}[/tex]
Which function has zeros at x = 3 and x = 7?
Answer:
f(x)= (x-3)(x-7)
Step-by-step explanation:
Which of the following could be a solid of revolution?
(A) pyramid
(B) Rectangular prism
(C) sphere
(D) Cube
Answer:
I think it (B) a rectangle prism not to sure tho
Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
Determine if the sequence -184, -207, -230, -253,... is arithmetic or geometric. Then identify the next term in
the sequence.
a arithmetic; -23
b. arithmetic; -276
c. geometric; -23
d. geometric; -276
Answer:
a arithmetic; -23
Step-by-step explanation:
this is not geometric sequence as we don't see multiplication effect in the terms
let's see what is the difference in terms
-207- (-184)= -23
-230- (-207)= -23
-253- (-230)= -23
we can state it is an AP with common difference of -23
option a. is correct
If sec x = −13/5 and tan x < 0, then cos x =
Answer:csc(x
Step-by-step explanation:You welcome
2(x-3)=16 solve for x
Answer:
[tex]x=11[/tex]
Step-by-step explanation:
[tex]2\left(x-3\right)=16\\\mathrm{Divide\:both\:sides\:by\:}2\\\frac{2\left(x-3\right)}{2}=\frac{16}{2}\\Simplify\\x-3=8\\\mathrm{Add\:}3\mathrm{\:to\:both\:sides}\\x-3+3=8+3\\x=11[/tex]
Answer:
tbh idk ask someone else. i take pre-cal
Step-by-step explanation:
Help please!
Which expressions are equivalent to -5/19
Answer:
Options 3, 4, and 5 are all equivalent
The expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
We have given that
-5/19
What is the expression?
An expression is a sentence with a minimum of two numbers and at least one math operation.
1) 5/19
Option 1 is not correct.
2)-5/-19
Implies that 5/19.
Option 2 is also not correct.
3) -5/19
Option 3 is correct.
4) 5/-19=-5/19
This is the correct option.
5)-(5/19)=-5/19
This is also the correct option.
Therefore, the expressions equivalent to -5/19 are options 3, 4, and 5 are all equivalent.
To learn more about the expression visit:
https://brainly.com/question/723406
What is the coefficient of the 2nd term of the following expression when written in standard form:
〖(7+4x)〗^3
Answer:
336
Step-by-step explanation:
Given the expansion: [tex](7+4x)^3[/tex]
[tex](7+4x)^3\\\\=(7+4x)^2*(7+4x)\\\\=(7+4x)(16x^2+56x+49)\\\\=7(16x^2+56x+49)+4x(16x^2+56x+49)\\\\=112x^2+392x+343+64x^3+224x^2+196x\\\\=64x^3+112x^2+224x^2+392x+196x+343\\\\=64x^3+336x^2+588x+343[/tex]
Therefore, the coefficient of the second term is 336.
Your fixed expenses are $1,035.65/month and are 36% of your
realized income. Use proportions to compute the realized
income on your budget.
/month
Answer:
Your realized income is an estamated $2876.81 per month
Step-by-step explanation:
36% can be translated to decimal form as 0.36, when multiplying 2876.81 times 0.36 you get 1035.65, making your estimated Total monthly income $2876.81
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!
A line has *fill in blank* but no *fill in blank*.
Answer:
A line has length, but no width or height
Step-by-step explanation:
What is the answer to this 8-(-8)=
Answer:
16
Step-by-step explanation:
the two negatives cancel out so if you are subtracting -8 from 8 you would actually end up adding them.
hope it helps!
Answer:
16
Step-by-step explanation:
personally I learned that when I see " -(- " in a equation it just means addition.
Find x in the given figure if m∠AOC = 130°. Question 7 options: A) –14 B) 8 C) 10.5 D) 14
Answer:
B) x=8
Step-by-step explanation:
To solve, we must find x like so:
We know that angle AOC = 130, so adding AOB and BOC will equal 130, then we solve for x.
[tex](6x-5)+(8x+23)=130\\6x-5+8x+23=130\\14x+18=130\\14x=130-18\\14x=112\\x=\frac{112}{14}\\x=8[/tex]
When the transformation T, -, is performed on
point A, its image is point A'(-3,4). What are the
coordinates of A?
1) (5,-5)
2) (-5,5)
3) (-1,3)
4) (-6,-4)
Please help. 10 points and brainliest.
Answer:
D
Step-by-step explanation:
sqrt(20*x^6*y^5)
sqrt(5*2*2*x^3*x^3*y^2*y^2*y^1)
2x^3*y^2*sqrt(5y)
this is D
Write y = 2/3 x+ 7 in standard form using integers.
Answer:
Step-by-step explanation:
y=2/3 x+7
multiply by 3
3y=2x+21
2x-3y+21=0
or 2x-3y=-21
I appreciate all of the help! I need help again so sorry :(
Answer:
46
Step-by-step explanation:
44+x=90
x=46
Answer:
46 degrees
Step-by-step explanation:
When two angles are complementary, their measures must add up to 90 degrees. Therefore:
a+b=90
44+b=90
b=90-44
b=46 degrees
Hope this helps!
