Step-by-step explanation:
so, it is a quadratic equation :
-3x² + 30x - 90 = 0
the first thing we can do is divide by 3
-x² + 10x - 30 = 0
remember, the formula to solve and find the 2 solutions is
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case here
a = -1
b = 10
c = -30
x = (-10 ± sqrt(100 - 4×-1×-30))/-2 =
= (-10 ± sqrt(100 - 120))/-2 = (-10 ± sqrt(-20))/-2 =
= (-10 ± sqrt(4×5)i)/-2 = (-10 ± 2×sqrt(5)i)/-2 =
= 5 ± -sqrt(5)i
x1 = 5 - sqrt(5)i
x2 = 5 + sqrt(5)i
remember, i = sqrt(-1), a complex number.
I just need the properties in order help plz
[tex] \: \: \: \: [/tex]
[tex]6x - 30 - 3x = - 12[/tex]
move the variable to the left hand side and change its sign, move the constant to the right hand side and change its sign[tex]6x - 30 = - 12[/tex]
collect like terms and calculate the sum[tex] 3x = - 18[/tex]
divide both sides of the equation by 3[tex]x = 3[/tex]
hope it helps[tex] \: \: \: \: \: [/tex]
[tex]\sf \longmapsto6(x−5)=3x−12[/tex]
Simplify both sides[tex]\sf \longmapsto(6)(x)+(6)(−5)=3x+−12[/tex]
[tex]\sf \longmapsto6x+−30=3x+−12[/tex]
[tex]\sf \longmapsto \: 6x - 30 = 3x - 12[/tex]
Subtract 3x from both sides[tex]\sf \longmapsto \: 6x−30−3x=3x−12−3x[/tex]
[tex]\sf \longmapsto3x−30=−12[/tex]
Add 30 to both sides[tex]\sf \longmapsto3x−30+30=−12+30[/tex]
[tex]\sf \longmapsto3x=18[/tex]
Divide both sides by 3[tex]\sf \longmapsto \: \dfrac{3x}{3} = \dfrac{18}{3} [/tex]
[tex]\sf \longmapsto \: x = 6[/tex]
[tex] \boxed{\sf \: x = 6 }[/tex]
Please help & solve for x thank you!
9514 1404 393
Answer:
x = 23.1
Step-by-step explanation:
The parallel lines make the left segments proportional to the right segments. This lets us write the equation ...
x/14 = 33/20
Multiplying by 14, we get ...
x = 14(33/20) = 7(33/10) = 23.1
29 years ago, James put some money into a savings account with 8% interest compounded quarterly (4 times a year). He just remembered it and saw that there was now $7328 in it. Find the original amount he invested.
Answer:
$0.97
Step-by-step explanation:
7328*100/108^(4*29)
a bunch of math later, with rounding...
0.97
*note-may be wrong
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB. How
many times as intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m.?
Answer:
1.24 times as intense
Step-by-step explanation:
The intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
What is the average rate of change?Let the function y = f(x).
Then the average rate of change will be
Average rate of change = (y₂ - y₁) / (x₂ - x₁)
On a busy construction site at 1:00 p.m. the sound level is 124 dB, while at 4:00 p.m. it is 100dB.
Then the intense as the sound of the construction site at 4:00 p.m. is the sound at 1:00 p.m. will be
⇒ (100 – 124) / 100
⇒ -0.24
Then the intensity of the sound decreases by 24% at construction site from 4:00 p.m. to 1:00 p.m.
More about the average rate of change link is given below.
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A warehouse placed 10 equal weight bones on a scale. Total they weighed 6 pounds. Each
box weighed
of a pound
Solve the given equations. PLEASE show your work. Choose if the equation has infinite many solutions or no solution. It can have a solution
-2(x + 4) + 9x = 4 - 7x
7 inches 6 inches and 6 inches make a triangle?
Answer:
^
Step-by-step explanation:
The left and right sides of the triangle must be 6 and the bottom must be 7. This creates an equilateral triangle where 2 sides are equal.
increase 2.75 by 1/4
Answer:
1/4 in decimal form is 0.25. You can convert any fraction into a decimal by just diving the numerator by the denominator.
Every time you see a fraction sign basically “—“ it jsut means divide by.
Now you can just divide. 1/4= 0.25
now we Increase which just means add
2.75+0.25 =3
Square the binomial (2x-4)^2
Answer:
4x^2 - 8x +16
Step-by-step explanation:
(2x - 4)^2 can be looked at like this (2x - 4)(2x - 4) which can then be foiled
4x^2 -8x + 16, I presume that there is no equals zero so I don't think I can use the quadratic formula.
Thus it is 4x^2 - 8x + 16.
Solve for x given that
4x + 2
7
Answer:
x = - 1/2 or -0.5
Step-by-step explanation:
Steps on the pic above
If you got $4 552 from your father and $1 478 from your mother and you spend $625. How much money do you now have to the nearest thousand?
Answer:
simply add what you got from your mother and father then subtract from what you spent then the remaining is the answer
is the function linear or not
Linear.
[tex] \rm {6x}^{2} = 12[/tex]
[tex] \rm {x}^{2} = 12 \div 6[/tex]
[tex] \rm {x}^{2} = 2[/tex]
[tex] \rm x = \sqrt{2} [/tex]
What is 608 + 17.25?
Answer:
625.25
Step-by-step explanation:
the answer is 625.25
Answer: 625.25
Step-by-step explanation:
1. Suppose that in the population of American college students the average number of alcoholic drinks consumed per week is 22. What is the probability of randomly selecting a sample (n = 30) with a mean of 24 and a standard deviation of 5? (Hint: Tell me the two probabilities it will be between using a 2-tailed value)
im not sure on the full awnser.
If you get this right i'll give u 40 :)
Answer:
1.NO 2. Yes
Step-by-step explanation:
Answer:
The first and second one is no
Step-by-step explanation:
(1/5) to the second power is 1/25 and adding 25/25 gets 26/25 which is not equal to 24/25
1 to the second power is still one and (1/4) to the second power is 1/16. 16/16 plus 1/16 is 17/16 which is not equal to 25/26
A man walks 50km a day he gets R1 for every 1000 steps. How much money will he have at the end of his 50km walk if 1,6Km is = to 2000 steps.
we have 1,6Km is = to 2000 steps => 1 km = 1250 steps
=> 50km = 1250 x 50 = 62500 steps
so he'll have: 62500/1000 = 62,5 R1
ok done. Thank to me :>
Please help I need this done ASAP
Answer: No solution
The two lines don’t meet at any point(s). So, there are no solutions.
:)
Consider the following equation.
x+2y=4
Step 2 of 2 : Determine the missing coordinate in the ordered pair (?,12) so that it will satisfy the given equation.
Jorge wants to find the height of the house, help him find it.
the book is sold for 5.4 dollars at a profit of 8% on the cost price what was the cost price
please help
Answer:
5.4*0.08=0.432 or
43 cents
Hope This Helps!!!
60 children went to the beach.. 4/5 of them could swim. How many 60 children went to the beach. children could not swim?
Answer:
75
Step-by-step explanation:
60 divided by 4/5 is 75
Towns A, B, C, and X are located along a straight highway. Town B is between A and C, and the distance from A to C is
41 miles. BC is 2 miles more than twice AB.
Town X is between A and B, 6 miles from A. Find XC.
a. 13 miles
c. 41 miles
b. 28 miles
d. 35 miles
Answer: 35 miles, but this is not an answer option.
Step-by-step explanation:
A X B C
AC = 41 miles
BC = 2AB + 2
AX = 6
AX + XC = 41 [This is the key equation. We want XC and AX is given as 6]
6 + XC = 41
XC = 35 miles
None of the answer options show this value.
I don't know why, since:
a. "the distance from A to C is 41 miles." means AC = 41, and
b. "Town X is between A and B, 6 miles from A" means AX = 6
If we say that AX + XC = 41, then 6 + XC = 41 and XC = 35
I don't know why this would be incorrect, so I'll leave it to someone else to spot the problem.
Using the information about Carrie's business model, drag each attribute of Carrie's business to its
description
Tiles
type of industry
purpose of the business
target customers
how the business can
Increase profits
Pairs
sell beautiful, low-priced furniture
lower operational costs
retail
Answer:
sell beautiful, low-priced furniture -> Purpose of bussiness
retail -> type of industry
lower operational costs -> higher profits
target customers -> again profits? can't see the final answer on the picture
Step-by-step explanation:
Hope this helps!
The tile "type of industry" matches with "retail", "purpose of the business" matches with" sell beautiful, low priced furniture", "how the business can increase profits" matches with "lower operational costs".
What is operational cost?Operational cost is the amount of expenditure done by the company or a firm on its day to day operations or in its manufacturing related activities.
How to identify statements?First tile says "type of industry". In the options there are two options with which it can match one is "retail" and other one is "sell beautiful,low priced furniture".But the second one is related to cheap pricing which may may be just a segment in an industry, that's why the most important option which matches with it is "retail". Second tile matches with "sell beautiful , low priced furniture" because there is a possibility that the business wants to just working for poor or middle class people. For third tile there is not any option present. Fourth tile matches with "lower operatonal costs" because when the cost of the company reduces it automatically increases the profits of the company.
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Samantha is training to be a paramedic.
She works in the emergency room
of a hospital as part of the training
requirements. So far, she has completed
619 hours. If Samantha worked a total of
58 days so far, about how many hours
did she work each day?
El primer término de una progresión geométrica es 3 y el séptimo 12 288. Hallar la suma de los siete términos.
Answer:
16383
Step-by-step explanation:
El primer término de la progresión geométrica es 3 y lo llamaremos [tex]a[/tex].
Se tiene que una progresión geométrica es de la forma:
[tex]a, ar, ar^2, ar^3, ar^4, \cdot \cdot \cdot[/tex]
Donde [tex]r \neq 0[/tex] y es la proporción es común. Por lo tanto si el séptimo número de la sucesión es 12.288 este se puede re-escribir como:
[tex]ar^6 = 12.288[/tex]
Si se resuelve la ecuación para hallar [tex]r[/tex] se tiene
[tex]r = \sqrt[6]{\frac{12.288}{a} } = \sqrt[6]{\frac{12.288}{3} } = \sqrt[6]{ 4096} = 4[/tex]
Ahora se halla cada número de la progresión geométrica entre 1 y 7 para finalmente sumarlos
[tex]ar^0+ar^1+ar^2+ar^3+ar^4+ar^5+ar^6[/tex]
[tex]3+12+48+192+768+3072+12288[/tex] = 16383
Por lo tanto la sumatoria de los primeros [tex]7[/tex] términos de la sucesión son 16383
Which of the following could be a helpful first step in solving this equation for q?
p2q+2q=11
Question 5 options:
Combine p2q+2q
Divide the whole equation by 11.
Divide the first term by p2
Factor a q out of p2q+2q
Answer:
D: Factor a q out of p^2 q+ 2q
Step-by-step explanation:
I took the test. Hope it was helpful! :)
The first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
What is the equation?An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.
It is given that, the equation is,
p²q+2q=11
Take q common from the L.H.S as
q(p²+2)=11
The value of q is obtained by rearranging the equation as,
q=11/(p²+2)
The value of q obtained after solving the equation p²q+2q=11 will be q=11/(p²+2).
Thus, the first step in solving this equation p²q+2q=11 for q will be to factor q out of p²q+2q. Option D is correct.
Learn more about the equation here,
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4(2x - 1) + 3(2x + 5)
Answer:
14 x + 11Step-by-step explanation:
4*(2x - 1) + 3*(2x + 5) =
8x - 4 + 6x + 15 =
14 x + 11
3) ) Each of the functions below model the monetary value of an item. Which is the only that has a growth factor showing the item is increasing in value?
Answer:
Imagine that scientists have just discovered a non-bird dinosaur skeleton. They want to know whether the dinosaur was closely related to birds. What features in ...
Step-by-step explanation:
hooke’s law states that the extension or elastic string beyond its natural length as the force applied. if a weight of 9 9 pounds attached to s spring causes it to a length of 20 inches?
Answer:
https://brainly.com/question/25709302
The total age of a cat, dog, and a monkey is 4 years 2 months. The dog is twice as old as the cat. The monkey is twice as old as the dog. How old is the monkey?
Answer:
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Step-by-step explanation: