Answers
Hi there!
[tex]\large\boxed{\frac{1}{5}, \frac{21}{5}}[/tex]
In order to set each equation equal to each other, we must have them both equal the same variable.
Rearrange the top equation to make it equal to y:
x - y = -4
Add 4 to both sides and add y to both sides:
x + 4 = y
Now, we can set both equations equal to each other:
x + 4 = 5(x + 1)² - 3
Begin solving by expanding the square binomial:
x + 4 = 5(x² + 2x + 1) - 3
Simplify:
x + 4 = 5x² + 10x + 5 - 3
x + 4 = 5x² + 10x + 2
Bring all terms to one side:
0 = 5x² + 9x - 2
Factor:
0 = (5x - 1)(x + 2)
Set the other factor equal to 0:
5x - 1 = 0
5x = 1
x = 1/5
Plug in this value of x into an original equation:
1/5 - y = -4
1/5 + 4 = y
1/5 + 20/5 = y
y = 21/5
Related Questions
If each quadrilateral below is a rectangle, find the missing measure.
Answers
JKH = 63
HLK = 90
HJL = 27
LHK = 54
JLK = 27
Hope this helps!
50 POINTS!!!!!!!!
(if you answer just for points or its a wrong answer and no effort was put fourth, then I will report and remove your answer, however a correct answer I will mark with a brainliest)
Please also provide and in detail explanation on how you solved it.
Substitution:
2x + 4y = 0
y = -8x
Basically I dont understand how to do it if it has an x value on both the top and the bottom equation.
Answers
Answer:
x=0, y=0
(0,0)
Step-by-step explanation:
First you see that y= -8x, so you would place that in the y variable for the question above, which means your question would now be 2x+4(-8x)=0. Now you would solve 4 time -8x which is -32x. The equation would then be 2x-32x=0. Then you would Combine Like Terms which would get you -30x=0. Then you divide -30 by 0 which gets you an x = 0. Then you would solve for y. Lets make it easy. You can plug in the x to any of the substitution problems, but I prefer doing it to y= -8x since it is easier. You will see why. You would then do, -8(0) (0 is the x value) and your answer would be 0, because -8 times 0 is well 0. Once you got this, you know your x is 0 and y is 0, so your answer would be (0,0). The reason it is easier to substitute the bottom rather than the top is because for the top, you would do 2(0) + 4y = 0, then you would solve which gets you 0+4y=0, then subtract 0-0 which is 0, then you would divide 4y by 0 which gets you an answer of 0. This is much more complex than just substituting the problem for y = -8x. I really hope this helps you out. I know it is confusing, but if you keep on solving more of these and working them out, then it will become much easier for you.
In a certain town, 80% of all married men are working, and 75% of all married men are over 35 years old. Among working married men, 70% are over 35 years old. What proportion of non-working married men are over 35 years old?
answer: 95%
working is needed
Answers
It helps to set up a two way table as shown below. Such tables compare 2 different variables. In this case, we're comparing the variables "working status" and "age".
Specifically, the working status separates the men into "working vs non-working". The age variable splits the men into groups of "35 or younger" and "over 35". Usually, but not always, each variable will take on two values.
Let's say this town had 1000 married men. 80% of this is 0.80*1000 = 800 to indicate there are 800 married working men. So we write this in the "total" column for the "working" row. This leaves 1000-800 = 200 nonworking married men, which will go right under the 800.
We're told that 75% of the married men are over 35, so 0.75*1000 = 750 married men are over 35. This goes in the "total" row for the "over 35" column. There are 1000-750 = 250 married men who are 35 and under.
As you can see, the stuff in the total column and the total row must add back to the grand total of 1000 married men overall.
--------------------------------
Another bit of info given is that "Among the working married men, 70% are over 35". We'll only focus on the "working" row. We have 800 total and 70% of this is 0.70*800 = 560 which is the number of working married men over 35. This leaves 800-560 = 240 married men who are not over 35.
At this point, we have 2 spots left in the table. Through guess and check, or using algebra, you should find that there are 190 non-working men over 35 and 10 non-working men who aren't over 35. Make sure that each row and column total checks out.
--------------------------------
By now, the table is fully filled out. See below.
Your teacher now asks "what proportion of non-working married men are over 35 years old?" which means we'll only focus on the "non-working" row. There are 200 men total here, and of this total, 190 are over 35.
So, 190/200 = 0.95 = 95% of the non-working married men are over 35.
pls i cant do this more longer i need help i will give brainlist !!!!!!!!!
Answers
Basically, 6 is the base number for this. The equation for this is 6 * 3^n
The 12th number in this sequence is 3,188,646
Hope this helps :)
Answer:
Step-by-step explanation:
6, 18, 54, 162, ...
[tex]a_{1}[/tex] = 6
r = 3
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
[tex]a_{12}[/tex] = 6 × [tex]3^{11}[/tex] = 1,062,882
If 1=3
2=3
3=5
4=4
4=4
Then, 6=?
[tex] \: \: \: [/tex]
Answers
Answer:
6 = 3 If u write 1 in word then u will write one and if you count the letter it will give u 3 .Similarly if u write the number 2,3,4,5 in word and count the number you will get 3,5,4,4 respectively .So ,If u write 6 in a word you will write six and on counting the letter you will get 3 .Hence ,6 = 3write an equation of the line passing through the point (5,2) that is perpendicular to the line "-x+3y=12"
Answers
Answer:
y = -3x + 17
Step-by-step explanation:
first, change the equation into slope-intercept form
add 'x' to each side to get:
3y + x = 12
divide each side by 3 to get:
y = 1/3x + 4
now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:
2 = -3(5) + b
2 = -15 + b
17 = b
put slope and y-intercept together to get:
y = -3x + 17
1 L = 0.26 gal
How many liters are in 13.39 gallons?
Answers
Answer: 50.686664
Step-by-step explanation: hope this helps :)
( 8 x 400 ) + ( 8 x 9 )
Answers
Answer:
3,272
Step-by-step explanation:
8 x 400 = 3200
8 x 9= 72
3200 + 72 = 3,272
Term insurance has no value as an investment and is the most expensive type of life insurance.
True
Or false
Answers
Answer:
False
Step-by-step explanation:
It is true that term insurance has no value as an investment. However, it is the least expensive type of life insurance. The compound statement is false, because one of the elements of the statement is false.
Answer:
false
Step-by-step explanation:
help po plsss !!!!!!!
Answers
Answer:
q2 =is tens
q4 is ones
q5 is tens
q8 is ones
q9 is tens
Step-by-step explanation:
I am not sure for these answers
q1 is hundreds
q3is hundreds
q7 is thousands
more I don't know
Answer:
1) Tenths
2) Hundredths
3) Tenths
4) Thousandths
5) Hundredths
6) Tens
7) Tenths
8) Ten Thousandths
9) Ten Thousandths
10) Tenths
1) 0.84
2) 0.7
3) 0.5
Brainliest would be appreciated. :-)
help with this graph please and thanks
Answers
What is 3/7 + 4/18 estimated
Answers
Answer:
41/63
Step-by-step explanation:
41/63 can't be simplified
Answer:
3/7+4/18=41/63
Step-by-step explanation:
3/7=3x18/7x18=53/126
4/18=4x7/18x7=28/126
54/126+28)126=54+28/126=82/126
82/126
simplify
41/63
Use the distributive property to remove the parentheses
Simplify your answer as much as possible,
10(2/5-3x)
Answers
Answer:
4 - 30x
Step-by-step explanation:
10(2/5-3x)
(10 x 2/5) - (10 x 3x)
4 - 30x
Step-by-step explanation:
10 ×2/5 = 4
10 × -3x = - 30x
= 4 - 30x
Select the correct answer.
A pound is approximately 0.45 kilogram. A person weighs 87 kilograms. What is the person's weight, in pounds, when rounded to the nearest
whole number?
ОА
52 lb
B.
180 lb
OC. 39 lb
OD. 193 lb
Answers
Answer:
193
Step-by-step explanation:
87 divided by .45
193.333333333
What is the slope of the line with the equation: y+6=24-2x
pleeaseeee
Answers
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
y=18-2x
y=-2x+18
Answer:
Slope = -2
Step-by-step explanation:
Changing this problem (y+6=24-2x) to Slope Intercept form turns it into y=-2x+18.
the formula is written as y=mx+b m=slope b=y-intercept and x & y being a certain number that is unknown . Therefore, the slope of the equation y=-2x+18 will be
m=-2/1 rise/run
need help on these 2 questions
Answers
Answer: y = -1 and x = 3
Step-by-step explanation:
x=-2y+6
3x-4y = 28
There are two ways to solve this: 1) solve directly with the equations, and 2) graph the line and look for the intersection.
---
Use the definition of x from the first equation and substitute it in the second:
3x-4y = 28
3(-2y+6)-4y = 28
-6y + 18 -4y = 28
-10y = 10
y = - 1
---
Graph the two lines and find the value of y at the point they intersect. See the attachment.
y = -1 at x= 8
=======================
For the second question:
y=3x-10
4x+5y=7
---
4x+5y=7
4x+5(3x-10)=7
4x+15x-50=7
19x = 57
x = 3
----
What number could replace n?
6/12 = 2/n
n = ___
Answers
n = 4
Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.
Answer: 4
Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.
Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.
Check:
6/12 = 1/2
2/4 = 1/2
Hope this explanation helps.
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answers
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
Please help I’ll love u forever
Answers
Answer:
3. non linear
4. weak
Step-by-step explanation:
3. it doesn't go in a line
4. it's a weak association.
Need help l don’t understand could someone help me?
Answers
Answer:
first put the numbers and unknowns to different sides, as in 6x-3x= 14-5, now solve for x, 3x=9, divide each side by 3 to get the value of x, x=3
Step-by-step explanation:
I did it for you. (Step by step)
I hope this helps.
x - 9 = 1/4x + (1/4x + 12) +(1/4x - 3)
Answers
Answer:
x=72
Step-by-step explanation:
x-9=3/4 ⋅ x+9
1/4 ⋅ x -9=9
1/4⋅x=18
x=72
Your family goes to a restaurant for dinner. There are
12 people in your family. Some order the chicken dinner for
$14.99 and some order the steak dinner for $25. if the total
bill was $219.92, how many people ordered each type of
dinner?
Answers
Answer:
8 chicken and 4 steak .
Step-by-step explanation:
8 x 14.99 = 119.29
4 x 25 = 100
Write an inequality that represents the graph.
Answers
espaneool
Step-by-step explanation:
The perimeter of a rectangle is 18 inch. The length is three inches more than width. What is length?
Answers
Answer:
6 inches.
Step-by-step explanation:
If the width is x inches then the length is x + 3.
S0
Perimeter = 2x + 2(x +3)
18 = 2x + 2x + 6
4x = 18 - 6 = 12
x = 3.
So the length = 6 inches.
Perimetre = 18 inch
Let the width be x
length = x+3
Perimetre of rectangle = 2(length+width)
18 = 2[(x+3)+x]
18 = 2(2x+3)
18 = 4x+6
4x = 18 - 6
4x = 12
•°• x = 12/4 = 3
Length = x+3 = 3+3 = 6
•°• The length of rectangle is 6 inch.
what is 56/53 = I'm so confused I used my calculator but i don't know whats accurate
Answers
Answer:
1.05660377358 or 1.06 rounded
Step-by-step explanation:
If it needs to be rounded, use 1.06 or 1.057. If not, the exact answer is 1.05660377358.
Answer:
1.056603774
Step-by-step explanation:
Can someone help me with this problem plz
Answers
Answer:
mq - 12
ql - 36
Step-by-step explanation:
I am not for sure but this is what I think it is because the m-q is smaller than the q-l
A car dealer starts the month with 120 cars. The dealer sells 3 cars each day. The number of cars remaining on any day can by modeled by the function f(x) = 120 - 3x. What should the domain of the function be if you want to know the number of cars remaining on any day during the month? What are the maximum and minimum values during the month?
Answers
The domain of the function to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
The domain is the all inputted value for which the function is defined. All the x values are domain of a function.
Now, finding the domain of the function,
We know that, the number of cars cannot be negative, so
[tex]f(x)\geq0\\120-3x\geq0\\3x\leq120\\x\leq40[/tex]
The number of cars should be greater than 0, so x > 0.
So, the domain will be [0, 40].
The maximum value is given by putting x = 0,
[tex]f(0)=120-3(0)\\=120[/tex]
The minimum value is given by putting x = 40,
[tex]f(40)=120-3\times40\\=120-120\\=0[/tex]
Therefore, the domain of the function f(x)=120-3x to know the number of cars remaining on any day during the month is [0, 40]. The maximum and minimum values are 120 and 0 respectively.
To learn more about the Domain of Functions visit here:
https://brainly.com/question/1369616
#SPJ1
solve the problem (pls help fast)
Answers
If 15 out of 25 students are boys,what percent of the class is made up of boys?
Answers
Answer: 6%
Step-by-step explanation:
4. Which of the following is an example of an expression?
1. 3y - 4x -12
2. 4x + 3y
3. y > -2x - 1
4.9x < -27
Answers
Answer:
i believe its 2 but i might be wrong sorry if i am
Step-by-step explanation:
I think it could be number 1 or number 2
