Answer:
(4, -11)
Step-by-step explanation:
We are given the system of equations:
[tex]\displaystyle \begin{cases} 3x+2y=-10\\ y=-5x+9\end{cases}[/tex]
And we want to solve by substitution.
Notice that y is isolated in the second equation.
Therefore, we can substitute the second equation into the first. This gives us:
[tex]3x+2(-5x+9)=-10[/tex]
Now, we can solve for x.
First, distribute:
[tex]\displaystyle 3x-10x+18=-10[/tex]
Next, we can combine like terms:
[tex]-7x+18=-10[/tex]
Subtract 18 from both sides:
[tex]-7x=-28[/tex]
And divide both sides by -7:
[tex]x=4[/tex]
So, the value of x is 4.
Using the second equation then, we can solve for y:
[tex]y=-5x+9[/tex]
Since we know that x = 4:
[tex]\displaystyle y = - 5(4) + 9 = -20 + 9 = -11[/tex]
So, our solution is (4, -11).
To check, we can simply substitute the x and y values and see if the two equations are true.
For the first equation:
[tex]3(4)+2(-11)=12-22=-10\stackrel{\checkmark}{=}-10[/tex]
And for the second equation:
[tex]-5(4)+9=-20+9=-11\stackrel{\checkmark}{=}-11[/tex]
Since both statements are true, (4, -11) is indeed correct!
The area of the backyard is 1470 feet squared. If the width is 35 ft then what is the length of the backyard?
Answer:
42
Step-by-step explanation:
to find area, we use the formula length times width. in this given question the area is already given. the inverse operation of multiplication is division, so you divide 1470 by 35 and end up with 42
Round 341,611
to the nearest
thousand.
Answer:
Step-by-step explanation:
341,611 rounded to the nearest thousand is 342,000
(6 is higher than5)
Simple Math!! 2581 ÷ 21
Answer:
[tex]122\frac{19}{21}[/tex] or [tex]122.904[/tex]
Step-by-step explanation:
2581 ÷ 21 = 122.9
Use a calculator
(ó ì_í)=ó ò=(ì_í ò) if i could get some help i'd be gr8
Answer:
blue box: 88
orange box: 13
DOES ANYONE KNOW THE ANSWER PLEASE HELP
Answer:
It should be 4 or (0,4)
Step-by-step explanation:
The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)
Maria has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay. *Maria has a pay rise. Her pay was £8 an hour. It is now £9.60 per hour. Calculate the percentage increase in Maria's pay.
=
£
6.
(a)
3333 p.
Into pounds
PLEASE HELP!!
i hate math and i am terrible at it so i need help
Answer:
b,c,d
Step-by-step explanation:
Answer:
D and B i'm pretty sure
Step-by-step explanation:
i would try a place called calculator soup really helps.
Find the greatest common factor of 7 and 21.
Answer: 7
Step-by-step explanation:
Factors of 7 are, 1, and 7. The factors of 21 are, 1, 3, 7, and 21, making 7 the gcf.
PLEASE HELP ME ASAP GEOMETRY; check picture
Answer:
since the sum of measure of adjacent angles of parallelogram are supplementry therefore the correct answer should be y=8
Rob simplified an expression using the following steps. Step 1: 2x – 3 + 5x + 7 Step 2: 2x + 5x – 3+ 7 Step 3: 7x + 4 Which property justifies Step 3?
The property that justifies Step 3 is the addition property of equation
How to determine the property that justifies Step 3?Rob's solution to simplifying the expression are given as
Step 1: 2x – 3 + 5x + 7
Step 2: 2x + 5x – 3+ 7
Step 3: 7x + 4
From step 2 to step 3, we can see that the like term expressions are evaluated
This means that the addition property is applied
Hence, the property that justifies Step 3 is the addition property of equation
Read more about addition property at
https://brainly.com/question/2475734
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Determine how much you would receive in return for a 8 month, $500 loan to a friend if you charged the 3% annual interest. Show your work.
i think its $4,120
I hope this helps
Answer:
$15 dollars
Step-by-step explanation:
use the whole part percent to work out answer
so its x/500 = 3/100 cross multiple 500x3= 1500 then you divide 1500 by 100 which equals 15
it looks like this kinda its hard to put on here
x = 3
500 100
so thats where u cross multiply the 500*3=1500 then divide 1500/100= 15
Which triangle is similar to △ABC if sin(A) = One-fourth, cos(A) = StartFraction StartRoot 15 EndRoot Over 4 EndFraction, and tan(A) = StartFraction 1 Over StartRoot 15 EndRoot EndFraction?
Answer:
ΔXYZ
Step-by-step explanation:
Trigonometric identities are equations which are true for right angled triangles. They are:
sin(A) = opposite / hypotenuse, cos(A) = adjacent / hypotenuse, tan(A) = opposite / adjacent.
Given triangle ABC with ∠A with side BC opposite to the angle, ∠B with side AC opposite to the angle, ∠C with side AB opposite to the angle.
sin(A) = opposite / hypotenuse = BC / AC = 1/4
BC = 1, AC = 4
cos(A) = adjacent / hypotenuse = AB / AC = √15 / 4
AB = √15
tan(A) = opposite / adjacent = BC / AB = 1 / √15
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
ΔXYZ and ΔABC are similar because the ratio of their corresponding sides are in the same proportion.
For adjacent side; XZ / AB = 6√15 / √15 = 6
For opposite side; YZ / BC = 6/1 = 6
For hypotenuse side; XY / AC = 24 / 4 = 6
Answer:
D. ΔXYZ
Step-by-step explanation:
what is y=2x+4 written in standard form
Three girls and four boys went to an
amusement park. The total cost for the group was $189. What was the cost of admission for each person?
Answer:
The admission for each person costs 27 dollars.
Step-by-step explanation:
Solve the equations 4× + 4 = 20. Write the problem on the sketch pad then solve the problem algebraically. I need shown work.
Answer:
x = 4
Step-by-step explanation:
I don't know what you mean by sketch pad but here is the working out
4x + 4 = 20
-4 -4
4x = 16
÷4 ÷4
x = 4
Hope this helps :)
Josiah takes two candy bars out of his lunch box. He shares the candy bars evenly between himself and three friends. How much candy bar does each person get?
Answer:
each person gets 0.5
Step-by-step explanation:
The circle below has a radius of 3 units . Find the area of the circle. Use 3.14 for π.
A=πr2=π×r×r
i well give u 10 points
Answer:
28.26 units
Step-by-step explanation:
We know the radius of the circle is 3 units, so we'll end up plugging that into the formula.
A = π(3^2) or A = π * 3 * 3
When you substitute pi for 3.14, you'll end up getting 28.26 units.
Hope this helped! :)
PLEASE HELP
Sally purchased 24 pencils.
1
8
of the pencils are blue.
1
6
of the pencils are red.
How many pencils are neither blue nor red?
A.17
B.14
C.7
D4
Answer:
17 = A
Step-by-step explanation:
Add 1/8 + 1/6 to get 7/24 so 24/24 - 7/24 would be 17/24 there are 17 pencils neither blue nor red
I wish someone could love me just like how someone use to
Answer:
me too bro me too........
12p + 18>84
Solve the following inequality
Answer:
p > 5.5
Step-by-step explanation:
Which system of equations has no solution?
5x+ 5y = 10 and 2x+2y = 4
3x-Gy=4 and - 4x+8y = 7
6x+2y = 6 and 7x+3y=9
3x-4y= 16 and 2x+3y=5
Answer:B
Step-by-step explanation:
Determine the vertex for y=2x^2+12x+1
Answer:
Step-by-step explanation:
vertex: ( -3,-17)
5x + 2 = 3x + 3
need a answer i got two different ones but dont understand
Answer:
x= .5 (not 100% sure but I think that's right)
Step-by-step explanation:
2x = 1
x= .5
Answer:
x=1.5
Step-by-step explanation:
5x + 2 = 3x + 3
subtract 2 from both sides
5x + 2 - 2 = 3x + 3 - 2
simplify
5x = 3x + 1
subtract 3x from both sides
5x - 3x = 3x + 1 - 3x
2x = 1
divide both sides by 2
[tex]\frac{2x}{2}[/tex]=[tex]\frac{1}{2}[/tex]
simplify
x=[tex]\frac{1}{2}[/tex]
[tex]\frac{1}{2}[/tex]/1.5
sorry for the lengthy explanation hope this helps :) have a nice day !!
100 POINTS!!!!!!!
An expression is shown below:
2x3 + 10x2 − 4x2y − 20xy
Rewrite the expression by factoring out the greatest common factor. (4 points)
x3+5x2-2xy-10xy because the GCF is 2
x3+5x2-2xy-10xy because the GCF is 52
2 x 3 + 10 x 2 - 4 x 2y - 20 x y
2 x 3 + 10 x 2 - 4 x 20 - 2y x y
6 + 20 - 80 - 2
26 - 78
52.
What is an example of factoring the expression?
Example: factor 2y+6
Both 2y and 6 have a common factor of 2: 2y is 2 × y. 6 is 2 × 3.
Learn more about the expression by factoring at
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I have to turn it in by tonight
Answer: (x,y) -> (x,-y)
Step-by-step explanation:
If you take any point, for example (-1,1) from the blue shape, you have to multiply the y value by -1 to get to (-1,-1) for the red shape. You can test it out with any point on the two figures.
Also, by looking at it, you can see that it is a reflection over the x axis and a reflection over the x axis always just multiplies the y value by -1.
Describe the transformations for the given expressions
9. f(x - 1) + 2
10. 2g(x -1) - 9
11. 2/3h(x + 4) + 5
12. -k( x – 4) + 7
13. g(x) =13|x − 5|
14. h(x) = 2√x + 6 − 7
15. k(x) = −(x)3 − 4
16. n(x) =75(x − 4)2 − 2
Answer:
wow thats a lot let me write this down
An online shopping club has 13000 members when it charges $7 per month for membership. For each $ monthly increase in membership fee, the club loses approximately 500 of its existing members. Write and simplify a function R to represent the monthly revenue received by the club when x represents the price increase.
Hint: Monthly revenue = # members•monthly fee
Just a answer with work will do, ill brainliest the best one.
Answer:
The function is: [tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]
Step-by-step explanation:
Total members=13000
Membership charge per month=$7
Increase in Membership charge per month=$1
For each $1 monthly increase in membership fee, the club loses approximately=500 members
For 1 month, 1 dollar decrease is 500 × 1
For x months, the decrease in the members is 500 × [tex]x[/tex] =[tex]500x[/tex]
The increase in membership fee is 7 + [tex]x[/tex]
After that,
Monthly revenue = Number of members × Monthly fee
Monthly revenue = [tex](13000-500x)[/tex] × [tex](7 + x)[/tex]
[tex]R(x)=(13000-500x)[/tex] × [tex](7 + x)[/tex]
Hope this helps and have a nice day!
Still waiting for the server? How does your web browser get a file from the
Internet? Your computer sends a request for the file to a web server, and the web
400 server sends back a response. Let Y = the amount of time (in seconds) after the
start of an hour at which a randomly selected request is received by a particular
web server. The probability distribution of Y can be modeled by a uniform density
curve on the interval from 0 to 3600 seconds. Find the probability that the request
is received by this server within the first 5 minutes (300 seconds) after the hour.
Answer:
Your computer sends a request for the file to a Web server, and the Web server sends back a response.
Step-by-step explanation:
Using the uniform distribution, it is found that there is a 0.0833 = 8.33% probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour.
----------------------------------
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability distribution of Y can be modeled by a uniform density curve on the interval from 0 to 3600 seconds, thus [tex]a = 0, b = 3600[/tex].
Probability in the first 5 minutes(300 seconds) is:
[tex]P(X < 300) = \frac{300 - 0}{3600 - 0} = 0.0833[/tex]
0.0833 = 8.33% probability that the request is received by this server within the first 5 minutes (300 seconds) after the hour.
A similar problem is given at https://brainly.com/question/17088600
An item with an original price p dollars is on sale at 30% discount. Which expression is not equivalent to the price of the item with the discount?
Answer:
p+_(n) + 70%
Step-by-step explanation:
finished