Answer:
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
Step-by-step explanation:
If you look at the factored and expanded forms of a quadratic with solutions p and q, you see ...
(x -p)(x -q) = x^2 -(p+q) +pq
The x-term coefficient is the opposite of the sum of solutions.
The constant is the product of solutions.
This knowledge lets you write down the standard form equation with no particular effort.
1. x^2 +2x -24 = 0
2. x^2 -7x +10 = 0
use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1
pls help me
I will give brainliest
Answer:
2500
Step-by-step explanation:
a² + 2ab + b²
49² + 98 + 1
Comparing terms
a²= 49²
a= 49
2ab = 98
2× 49 × b = 98
98b = 98
b= 98/98
b = 1
or
b²= 1
b=√1
b= 1
a=49 and b= 1
Hence (a+b)²= (49+1)²
50²= 2500
5x + y = 11
3x − y = 9
Answer:
x = 5/2y = -1.5Step-by-step explanation:
5x + y = 113x − y = 9
=> 5x + y = 11+3x − y = +9
=> 8x = 20=> x = 20/8=> x = 5/2=> 5(5/2) + y = 11=> 25/2 + y = 11=> 12.5 + y = 11=> y = 11 - 12.5=> y = -1.5Therefore, the answers are:
x = 5/2y = -1.5Hoped this helped.
[tex]BrainaicUser1357[/tex]
Which description best describes the association between variables x and y?
picture is below
Answer:
The dots have a weak positive correlation.
Step-by-step explanation:
The values on the graph, or dots, are generally going upwards, meaning they are positive. If they were generally going downwards, or from the top left to bottom right, they would be negative.
The values are not tightly packed together. If they were, they would have a strong positive correlation. Instead, they are loosely around each other. But because they are not completely random all over the graph, the correlation is weak.
Hence, the values on the graph have a weak and positive correlation.
Need help. Sorry if the pic quality is bad…
through: (-5,1), parallel to y = -2/3x +2
Answer:
y = -2/3x-1
Step-by-step explanation:
Fill in the missing values.
151.5 cm =? m
151.5 cm = ? m
(Type an integer or a decimal.)
Answer:
151.5 cm = 1.515 m
151.5 cm = 1515/1000 m
If you spend 3/5 of your $40 gift card, how much money will be left on it?
Answer:
$16
Step-by-step explanation:
1-⅗=⅖
40×⅖=16
Here's the answer
The following represents the inflation rates of foreign country X for the past 5 years:
Year 1: 35%
Year 2: 20%
Year 3: 25%
Year 4: 30%
Year 5: 15%
Which statement is correct about the selection of a functional currency for country X at the end of year 5.
a.
Country X is highly inflationary; the US dollar must be used
b.
Country X is highly inflationary; the foreign currency must be used
c.
Country X is not highly inflationary; the US dollar must be used
d.
Country X is not highly inflationary; either the US dollar or the foreign currency may be used depending on the factors to determine the functional currency
e.
Country X is not highly inflationary; the foreign currency must be used
Answer:
year 3:25 A,C,E
Step-by-step explanation:
Y=-6x-5
Please find the slope
Answer:
-6
Step-by-step explanation:
this is in y=mx+b form, where m is the slope ! so m is -6
Tropical dried fruit costs $1.50 per pound and regular dried fruit costs $0.90 per pound. You want to create a mixed bag of tropical dried fruit and regular dried fruit that is worth $1.30 per pound. How many pounds of tropical dried fruit do you need if you have already purchased 50 pounds of regular dried fruit?
t = total amount of lbs of Tropical dried fruit
m = total amount of lbs of mixed bag
[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]
What is the slope of the line. ?
Answer:
-1
Step-by-step explanation:
rise/run
rise=-1
run=1
-1/1=-1
whats 5+5? please help quick quick quick
Answer:
It's 10 lol
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
Because it is
If you subtract 3 from twice a number,the result is 25.find the number
14
This should be right!
factorize completly Mn + np + or + rt
Answer:
n (m + p) + r (o + t)
Step-by-step explanation:
You have to split the expression in half.
First, focus on mn + np, the common factor would be n.
So the first part of the answer would be mn ÷ n and np ÷ n.
Leading to it being n(m + p).
Then you focus on the second half or + rt.
You find the common factor, which is r.
You divide both sides by r.
Hence why you get r(o + t).
Lastly, you put them together, n(m + p) + r(o + t).
Hope this helps :)
send help send help send help
Answer:
B answer answer
[tex]the \: answer \: is \: b[/tex]
how do i get more points? and why do i need it?
Answer:
You get more points by answering people's questions. You use points to get help from other people.
Answer: Answer people's questions to get points and use those points to get an answer to your question.
We figure 25 people will attend if it rains and 70 people will attend if it does not rain. The weather forecast indicates that there is a 20% chance of rain that day. What is the expected number of people who will attend the party?
Answer:
34
Step-by-step explanation:
20% of 70 + 80% of 25 = 14 + 20 = 34.
Answer:
61
Step-by-step explanation:
Assuming a linear relationship between the percent chance for rain and the number of attendees, the number is 20% of the way from 70 (0% chance) to 25 (100% chance).
The expected number of people with a 20% chance of rain would be 61.
(hope it helps)
Suppose a worker makes $286.08 in one week. If he is paid $5.96 an hour for the first 36 hours he works and then $8.94 an hour in overtime pay for each additional hour, how many hours did he work overtime
Answer:
5.96 x 36 = 214.56.
286.08 - 214.56 = 71.52
71.52 divided by 8.94 = 8.
He worked 8 additional hours.
Answer:
The worker worked about 8 hours overtime.
Step-by-step
First we figure out how much they made without overtime.
Multiply 5.96 x 36 and you would get 214.56
Then we figure out how many hours he worked overtime
Multiply 8.94 times 8 and you would get 71.52
Then take 214.56 and add 71.52, you would get 286.08, the answer is 8 hours overtime.
There are 300 students in the 6th grade class. 252 of the students have received dragon
tickets. What is this as a percent?
The percentage of students in the 6th grade class that have received dragon tickets is 84%.
Given the following data:
Total number of students = 300 studentsNumber of students with dragon tickets = 252 studentsTo determine the percentage of students in the 6th grade class that have received dragon tickets:
A percentage is used to describe or represent a portion of a given population or total number of something.
Mathematically, the percentage for the given number of students is:
[tex]D = \frac{Students}{Total\;students} \times 100\\\\D = \frac{252}{300} \times 100\\\\D=0.84\times 100[/tex]
D = 84%
Read more on percentage here: https://brainly.com/question/14432715
10. Which of the following is the best financial situation?
Answer:
Having enough to retire.
Step-by-step explanation:
The biggest long-term financial goal for most people is saving enough money to retire. The common rule of thumb that you should save 10% to 15% of every paycheck in a tax-advantaged retirement account like a 401(k) or 403(b), if you have access to one, or a traditional IRA or Roth IRA.
Please help!! Best answer gets brainliest<3
Help me plzzzzzzzzzzzzz
Answer: It is D
Step-by-step explanation:
Determine the probability of the event.
A survey found that about 90% of the junior class is right handed. If 2 juniors are chosen at random out of
100 juniors, what is the probability that at least one of them is not right handed?
Give an exact answer as a decimal.
Answer:
The probability is 1/100
Step-by-step explanation:
This is because there are only ten left-handed juniors (on average). Therefore there isn't a great chance that you would end up with one.
A bakery sold a total of 500 cupcakes in a day, and 190 of them were vanilla flavored. What percentage of cupcakes sold that day were vanilla flavored?
Answer: 50/19
Step-by-step explanation:
I'm no math genius however I believe this is division.
500/190 gave me a fraction which is 50/19.
Grapes are 2.55 per pound and on two separate occasions Dana went to the store to
buy grapes. The first time she went to the store she bought 3.25 pounds of grapes
and during the second visit to the store she purchase 1.25 pounds of grapes.
Rounded to the nearest cent, what is the total amount that Dana paid for the grapes?
$7.25
$12.35
$11.48
$7.05
Answer: $11.48
Step-by-step explanation:
First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.
Need help pls answer asap. Sorry the photo quality is bad.
Answer:
Step-by-step explanation:
1 + 3 = 4
so find the point 1/4 of the way from (-1, 2) to (7, 8)
x coordinate
Δx = ¼(7 - (-1)) = 2
x = x₀ + Δx
x = -1 + 2 = 1
y coordinate
Δy = ¼(8 - 2) = 1½
y = y₀ + Δy
y = 2 + 1½ = 3½
(1, 3½)
x : y = 1 : 5. which is the correct equation?
Th e correct equation will be y = 5x
How to express ratios and proportionsRatios is a way dividing two integers. For instance, the ratio of a to b is written as a:b.
Given the ratios expressed as x:y = 1:5
Since ratio means division hence;
x:y = 1:5
x/y = 1/5
Cross multiply
1 * y = 5 * x
y = 5x
Hence the correct equation will be y = 5x
Learn more on ratios here: https://brainly.com/question/2914376
given the equation f(x)=-2x²+4x+6 find the average rate of change from x=1 and x=2
Answer:
16
Step-by-step explanation:
1) Plug x=1 into equation
f(x) = -2(1)²+4(1)+6
f(x) = -2²+4+6
f(x) = 4+4+6
y = 14
(1,14)
2) Plug in x=2 into equation
f(x) = -2(2)²+4(2)+6
f(x) = -4²+8+6
f(x) = 16+8+6
y = 30
(2,30)
3) Use slope formula ([tex]\frac{y2-y1}{x2-x1}[/tex])
[tex]\frac{30-14}{2-1}[/tex]
[tex]\frac{16}{1}[/tex]
16
What is the value of a on the triangle below?
Answer: answer 56 I’m the goat lol
Step-by-step explanation:
subtract 107 from 180 and you get 73 that’s one corner 73 +51 =124 and 180 - 124 = 56
If a cylinder has a volume of 648pi cm3( 3rd power) and a height of 8 cm, what is the radius?
[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ V=\stackrel{cm^3}{648\pi }\\ h=8 \end{cases}\implies 648\pi =\pi r^2(8) \\\\\\ \cfrac{648\pi }{8\pi }=r^2\implies 81=r^2\implies \sqrt{81}=r\implies \boxed{9=r}[/tex]