Answer:
See Explanation
Step-by-step explanation:
1.
Given
[tex]y = 6x - 11[/tex]
[tex]-2x - 3y = -7[/tex]
Solve for x and y
In the first equation, we have: [tex]y = 6x - 11[/tex]
Substitute [tex]6x - 11[/tex] for [tex]y[/tex] in the second
[tex]-2x - 3y = -7[/tex]
[tex]-2x - 3(6x - 11) = -7[/tex]
[tex]-2x - 18x + 33 = -7[/tex]
[tex]-20x+ 33 = -7[/tex]
[tex]-20x= -7-33[/tex]
[tex]-20x= -40[/tex]
Divide through by -1
[tex]20x = 40[/tex]
[tex]x = 40/20[/tex]
[tex]x = 2[/tex]
Recall that:
[tex]y = 6x - 11[/tex]
[tex]y = 6 * 2 - 11[/tex]
[tex]y = 1[/tex]
2,
Given
[tex]-3x - 3y = 3[/tex]
[tex]y = -5x - 17[/tex]
In the second equation, we have: [tex]y = -5x - 17[/tex]
Substitute [tex]-5x - 17[/tex] for [tex]y[/tex] in the first equation
[tex]-3x - 3y = 3[/tex]
[tex]-3x - 3(-5x - 17) = 3[/tex]
[tex]-3x + 15x + 51 = 3[/tex]
[tex]12x + 51 = 3[/tex]
[tex]12x=3 - 51[/tex]
[tex]12x=-48[/tex]
[tex]x = -48/12[/tex]
[tex]x = -4[/tex]
Recall that: [tex]y = -5x - 17[/tex]
[tex]y = -5 * -4 - 17[/tex]
[tex]y = -3[/tex]
3. Given
[tex]-4x + y = 6[/tex]
[tex]-5x - y = 21[/tex]
Add both equations to eliminate y
[tex]-4x - 5x + y - y = 6 + 21[/tex]
[tex]-9x= 27[/tex]
Solve for x
[tex]x = 27/-9[/tex]
[tex]x = -3[/tex]
Substitute -3 for x in the first equation: [tex]-4x + y = 6[/tex]
[tex]-4 * -3 + y = 6[/tex]
[tex]12 + y = 6[/tex]
[tex]y = 6 - 12[/tex]
[tex]y = -6[/tex]
4. Given
[tex]-7x - 2y = -13[/tex]
[tex]x - 2y = 11[/tex]
Make x the subject in the second equation
[tex]x - 2y = 11[/tex]
[tex]x = 11 + 2y[/tex]
Substitute 11 + 2y for x in the first equation
[tex]-7x - 2y = -13[/tex]
[tex]-7 (11 + 2y) - 2y = -13[/tex]
[tex]-77 -14y - 2y = -13[/tex]
[tex]-77 -16y = -13[/tex]
[tex]-16y = -13 + 77[/tex]
[tex]-16y = 64[/tex]
[tex]y = 64/-16[/tex]
[tex]y = -4[/tex]
Substitute -4 for y in [tex]x = 11 + 2y[/tex]
[tex]x = 11 + 2 * -4[/tex]
[tex]x = 11 -8[/tex]
[tex]x = 3[/tex]
5. Given
[tex]-2x + 6y = 6[/tex]
[tex]-7x + 8y = -5[/tex]
Multiply the first equation by 7 and the second by - 2 to eliminate x
The first
[tex]7(-2x + 6y = 6)[/tex]
[tex]-14x + 42y =42[/tex]
The second
[tex]-2(-7x + 8y = -5)[/tex]
[tex]14x - 16y = 10[/tex]
Add the resulting equations
[tex]-14x + 42y =42[/tex]
[tex]14x - 16y = 10[/tex]
------------------------------
[tex]-14x + 14x + 42y - 16y = 42 + 10[/tex]
[tex]42y - 16y = 42 + 10[/tex]
[tex]26y = 52[/tex]
Solve for y
[tex]y = 52/26[/tex]
[tex]y = 2[/tex]
Substitute 2 for y in [tex]-2x + 6y = 6[/tex]
[tex]-2x + 6 * 2 = 6[/tex]
[tex]-2x + 12 = 6[/tex]
[tex]-2x = 6 -12[/tex]
[tex]-2x = -6[/tex]
Solve for x
[tex]x = -6/-2[/tex]
[tex]x = 3[/tex]
Find the 62nd term of the arithmetic sequence -27, -21, -15
The 62nd term of the arithmetic sequence -27, -21, -15 is 339
Arithmetic sequenceThe nth term of an arithmetic sequence is expressed as:
Tn =a+(n-1)d
Given the sequence -27, -21, -15
a is the first term = -27
d is the common difference = -21 + 27 = 6
n = 62
Substitute
T62 = -27 + (62-1)(6)
T62 = -27 + 61(6)
T62 = -27 + 366
T62 = 339
Hence the 62nd term of the arithmetic sequence -27, -21, -15 is 339
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x-4 is greater than -8 in interval notation
Answer:
x
−
4
=
−
8
=
Step-by-step explanation:
f(x) = -2x + 5
f ( ) = 13
Answer:
Okay, I haven't done this a long time however I believe with this you have to solve the equation by doing substitution.
Step-by-step explanation:
so, if f (x) equals 13, you replace the x in the equation to 13.
f(x)=-2x+5
f(x)=-2(13)+5
f(x)=26+5
f(x)=31
I believe 41 would be your answer. Hope this is right and it helped!
For the function, f(x) = 2x + 1. If f(x) = 3, what is the value of x?
A. 2
B. 1
C. 7
D.0
Answer:
B. (1) is the value of x
Step-by-step explanation:
Answer:
i got -0.5
Step-by-step explanation:
how do I solve for x?
Answer:
85
Step-by-step explanation:
The sum of the measures of the interior angles of a triangle is 180 deg.
x + 52 + 43 = 180
x + 95 = 180
x = 85
Answer: 85
The angles in a triangle add up to 180 degrees
180 - 52 - 43 = 85
x = 85 degrees
what number can be added to 55 and have 45 and 9 as thier greatest common factor?
Answer:
36
Step-by-step explanation:
I need HELP ASAP RIGHT AWAY
Answer:
line c and e
Step-by-step explanation:
Refer to the graph. Find the slope of each line
Answer:
The top line has a slope of 1/2
The bottom line has a slope of - 1/4
YOO HELPP
I’m bad at math
Answer:
i love you
Step-by-step explanation:
Answer:
1/2(n-3) or (n-3)/2
Step-by-step explanation:
Prove that:
( sec 4A - 1 ) / ( sec 2A - 1 )
=
tan 4A . cot A
Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help Pls Help
Answer:
sec 1A = tan 2A
Step-by-step explanation:
BABAOEY
You are going down the river at 2mph but your canoe loses a wheel. at this rate, how many boxes of pancake mix will it take to re-shingle your roof.
Answer:
The temperature of the sun is -498 K / meters square
Hope that helps!
Answer:
Um... Is this the real question or you just trolling???
Step-by-step explanation:
Which inequality represents this situation?
Players must practice at least 45 minutes a day.
t 45
t ≥ 45
Answer:
t≥45
Step-by-step explanation:
If it says at least, it means fine must be greater than or equal to 45.
9.85 less than the product of 37 and w
Answer:
you did not give wat you wanted us to do so I would say 9.85- (37*w)
7a-3(2a-4) what’s the answer?
Answer:
?
Step-by-step explanation:
Answer:
a+12
Step-by-step explanation:
Distribute the -3 to (2a-4) so you get -6a+12
then it is 7a-6a+12, which is a+12.
If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12
BRAINLIST!!!!! Do you know the sample response?!
Answer:
The graph and equation both match and are a function. there is one specific output fro each input
Step-by-step explanation:
the percentage of boys in a school is 60%, and the number of girls are 200, calculate the number of boys and the total number of students?
Answer:
Boys: 300 or 60%, girls: 200 or 40%, total number of students: 500 or %100
Step-by-step explanation:
So basically:
1. We know that 60% is boys and we're trying to figure out the exact amount. We know the other 40% (girls) is a total of 200.
2. First take the 40% and half it so we get 20% in order to do that we have to do the same to the 200 girls and half the number into 100. Now we know 20% is equal to 100 students. Given that information we would multiply the 20% by 3 to get the 60% of boys. Now we would also multiply the 100 by 3 and now we have 300.
3. We now know that we have 300 boys and 200 girls. Add them together for the total of students and you get 500.
I hope this helps:)
What’s mean by report this answer
Answer:
Like make it bad.Its offensive
Step-by-step explanation:
Write an equation of the line in standard form with integer coefficients. the line through (-2, 2), (1, -4). O A. y+2x=-2 B. y+2x=6 C. 2y+x=2 D. 2y+x=-6
Answer:
A
Step-by-step explanation:
K=(y1-y2)/(x1-x2)=(2+4)/(-2-1)=-2
y=-2x+b
2=-2*-2+b
b=-2
y=-2x-2
y+2x=-2
The equation of the line in standard form with integer coefficients is → y + 2x = - 2.
What is the general equation of straight line?The general equation of straight line is -
y = mx + c
where 'm' represents the slope of the line and 'c' is the y - intercept.
Given is a line that passes through the points -
(-2, 2), (1, -4)
We can calculate the slope of the line using the two coordinates given -
(-2, 2), (1, -4). The slope will be -
m = (- 4 - 2)/(1 + 2)
m = -6/3
m = - 2
Assume that the equation of line is -
y = -2x + c
The line passes through the point (-2, 2), so we can write -
2 = -2 x -2 + c
2 = 4 + c
c = -2
So, we can write the equation of line as -
y = - 2x - 2
or
y + 2x = - 2
Therefore, the equation of the line in standard form with integer coefficients is → y + 2x = - 2.
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Help me solve this problem please
Aaron invested $7,500 in an account paying an interest rate of 1.5% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 8 years?
Answer:
\text{Compounded Continuously:}
Compounded Continuously:
A=Pe^{rt}
A=Pe
rt
P=7500\hspace{35px}r=0.015\hspace{35px}t=8
P=7500r=0.015t=8
Given values
A=7500e^{0.015(8)}
A=7500e
0.015(8)
Plug in
A=7500e^{0.12}
A=7500e
0.12
Multiply
A=8456.22638685
A=8456.22638685
Use calculator (with e button)
A\approx 8500
A≈8500
Round to nearest hundred dollars
Step-by-step explanation:
The amount of money to the nearest hundred dollars that would be in the account after 8 years is $60,900.
What is the future value of the account?The formula for calculating future value when there is continuous compounding is : A x e^r x N
Where:
A= amount e = 2.7182818 N = number of years r = interest rate7500 x e^0.015 x 8 = $60,900
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Question 10 of 10
Solve 3 ax + 4ax = 5ax + 4 for x. Assume at 0.
A. X = 2
a
B. x= 2a
C. x =
За
D. X = 3a
[tex]x = \frac{2}{a} [/tex]
Step-by-step explanation:
3 ax + 4ax = 5ax + 4, combine like terms
7ax = 5ax + 4, minus 5ax from both sides
2ax = 4, divide 2a on both sides
you'll be left with x = 2/a
Simplify 4^3* 4^5 please help me
Answer:
C.
Step-by-step explanation:
add the numbers (power numbers)
=4^8
7/8 of Bill's coins are. pennies.
What % are pennies?
Answer:
87.5% are pennies
Step-by-step explanation:
7/8 = 87.5%
Hope this helps!!
what is the squared root of 64?
Answer:
8
Step-by-step explanation:
Answer:
the square root is 8
Step-by-step explanation:
can i get some help plz with this
Answer:
translation then reflection is the answer
Step-by-step explanation:
A. it has no rotational symmetry
B. It has rotational symmetry with an angle of rotation of 180°
C. It has point symmetry
D It has recreational symmetry
PLEASE HELP WILL MARK BAINLIST
75 is what percent of 150?
If you show work you will be marked brainliest
50%
You need to convert the fraction (ratio)
Afterwards, you will get your answer!
I don't know how to upload or I would upload a picture of my work and how to do it to help you.
I hope this helps you!
Answer:
50percent
Step-by-step explanation:
75 is half of 150
Stock A changed by - $2,60 during the day. Stock B changed by 3
times that amount. How much did Stock B change during the day?
Answer:
$7.80
Step-by-step explanation:
$2.60 * 3 = $7.80
PLEASE FAST HELP PLS I BEG U
Answer:A.,C.,D that is the answer
Step-by-step explanation:
Describe the transformation of y=f(x) for the new function f(x)=2/3|x-7|
Answer:
Stretch of 2/3, right by 7