Given:
The system of equation is
[tex]y=-8x-3[/tex]
[tex]x+y=7[/tex]
To find:
Whether (3,4) is a solution of the given system or not.
Solution:
We have,
[tex]y=-8x-3[/tex] ...(i)
[tex]x+y=7[/tex] ...(ii)
Putting the value of y in (ii) from (i), we get
[tex]x+(-8x-3)=7[/tex]
[tex]x-8x-3=7[/tex]
[tex]-7x=7+3[/tex]
[tex]-7x=10[/tex]
Divide both sides by -7.
[tex]x=\dfrac{10}{-7}[/tex]
[tex]x=-\dfrac{10}{7}[/tex]
Putting [tex]x=-\dfrac{10}{7}[/tex] in (i), we get
[tex]y=-8\times (\dfrac{-10}{7})-3[/tex]
[tex]y=\dfrac{80}{7}-3[/tex]
[tex]y=\dfrac{80-21}{7}[/tex]
[tex]y=\dfrac{59}{7}[/tex]
So, the only solution of the given system is [tex]\left(-\dfrac{10}{7},\dfrac{59}{7}\right)[/tex].
Hence, (3,4) cannot be a solution of given system, Hence the correct option is B.
Answer: B I got it right in khan academy
Step-by-step explanation:
Identify the correct equation for the graph below.
i think it is c
im not sure
Find the values for x for which the expression 2x-3/(x+4)(x-2) is equal to 1/5
Answer:
1 and 7
Step-by-step explanation:
(x+4)(x-2) = x²+2x-8
set up proportion:
2x-3/ x²+2x-8 = 1/5
cross-multiply:
5(2x-3) = x²+2x-8
10x-15 = x²+2x-8
Combine Like Terms:
x²-8x+7
Factor:
(x-7)(x-1)
set each factor equal to zero and solve: x = 1, x = 7
Answer:
[tex] \frac{(2x - 3)}{(x + 4)(x - 2)} = \frac{1}{5} \\ \frac{2x - 3}{x {}^{2} - 2x + 4x - 8} = \frac{1}{5} \\ x {}^{2} - 2x + 4x - 8 = 5(2x - 3) \\ x {}^{2} + 2x - 8 = 10x - 15 \\ x {}^{2} + 2x - 10x = - 15 + 8 \\ x { }^{2} - 8x = - 7 \\ x {}^{2} - 8x + 7 = 0 \\ x {}^{2} - x - 7x + 7 = 0 \\ x(x - 1) + 7(x - 1) \\ x + 7 = 0 \\ x = - 7or \\ x - 1 = 0 \\ x = 1[/tex]
Step-by-step explanation:
x=7 or x=1
Find the domain of the function.
v
(x) = 9+x
Answer:
Step-by-step explanation:
9+x ≥ 0
x ≥ -9
Solve for x.
2x-2=-12
please help
Answer:
-5
Step-by-step explanation:
2x=-10
x=-5
Answer:
x = -5
Step-by-step explanation:
2x - 2 = -12
(Add 2 on both sides)
2x - 2 (+2) = -12 (+2)
(simplify)
2x=-10
(Divide by 2 on both sides)
2x/2 = -10/2
(Simplify)
x = -5
Hope this helps :)
_, _, _, _,-5, -9
Complete the Fibonacci codes ASAP pleasee
Answer:
11,7,3,-1,-5,-9
Step-by-step explanation:
count by 4
what is the solution of the inequality below?
y-1≥0
Answer:
y≥1
Step-by-step explanation:
hello :
y-1≥0
y-1+1≥0+1
y≥1
How do i solve 7/11 = 18/x+1
If I start with 3 and count by 4's until I reach 99, I get 3, 7, 11, …, 99, where 3 is the first number, 7 is the second number, 11 is the third number, and so on. If 99 is the Nthnumber, what is the value of N?
Answer:
Given variables:
a=3
d=4
Tn=99
N=?
Using the formula
Tn=a+(n-1)d
99=3+(n-1)4
96=4(n-1)
24=n-1
25=n
Therefore N=25
John went to the store and bought 3 books for $18. How many books could he purchase for $54? *
Answer:
He bought 9 books.
Step-by-step explanation:
If $18 can by 3 books to find how much one book costs we divide 18 by 3 and get six.
54÷6=9
I hope this helps you :)
Write the equation of the line below in slope-intercept form.
WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of the variable x.
Answer:
36(x + 1)^2 = 0 or 36x^2 + 72x + 36
Step-by-step explanation:
s^2 = area of a square
(6x + 6) (6x + 6)
6x*6x = 36x^2
6x*6 = 36x
6*6x = 36x
6*6 = 36
36x^2 + 36x + 36x + 36
36x^2 + 72x + 36
36(x + 1)^2 = 0
Find m RSU=103° what does UST=
Answer: UST = 77
Step-by-step explanation:
Angle RSU and angle UST together measure 180. (half of a circle) (or you can say they are a linear pair...either way they would sum to 180) 180-103 = 77
Luke walks 40 miles in 25 seconds and Maria walks 30 miles in 10 seconds who walks faster?
Answer:
Thank to Goalscore24 correcting me, its actually Maria walking faster
Because 40 divided by 25 is 1.6
and 30 divided by 10 is 3
So Maria runs 3 miles in 1 second, and Luke runs 1.6 miles in 1 second
So Maria is faster.
what is the value of a b and c?
Answer:
Thanks for the points G
Step-by-step explanation:
bye
for each question, decide if it is always true or never true.
Answer:
Never
Never
Always
Always
Never
Step-by-step explanation:
Substitute (x) for another number, I used (1), I if works then the answer is always and if it doesn't the answer is never. If you are unsure of your answer you can double-check by substituting another number instead.
Answer:
a. Never true
b. Never true
c. True
d. True
e. Never true
Ramon earns $1,725 each month and pays $53.70 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?
Answer:
Step-by-step explanation:
Remark
The formula you use is (Electricity / Total Income ) * 100
The ratio becomes 53.7/1725 * 100%
The ratio is 53.7/1725 * 100 = 0.03113 * 100
The % = 0.03113 * 100 = 3.113
To the closest tenth that is 3.1%
determine whether the ratios are equivalent. 4 7 and 8 11
Answer:
answer is the ratios are not equivalent or not in proportion
Step-by-step explanation:
you can find it by crops multiplication
4/7
8/11
4*11
8*7
44=56
Therefore it is not in proportion
Answer: 4 : 7 = 8 : 14
8 : 11 = 16 : 22
Step-by-step explanation:
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
The ratio is already in lowest terms so I found an equivalent ratio by multiplying both terms by 2.
I get a 15% commission on all jewelry sales that I make. If I sold 6,000 worth of jewelry, how much commission will I earn?
Write each phrase as an algebraic expression.
n divided by 8
p multiplied by 4
b plus 14
90 times x
a take away 16
k less than 24
3 groups of w
the sum of 1 and q
the quotient of 13 and z
c added to 45
8 less than w
(please, don't say something random to get points, say the answer only.)
Find the exact value of cos 45º in simplest form with a rational denominator.
Answer:
[tex]\frac{\sqrt{2} }{2}[/tex]
Step-by-step explanation:
Cos is Adjacent over Hypotenuse, (see picture below)
x/xsqrt(2)
1/sqrt(2)
sqrt(2)/2
Write an expression that is equivalent to 3 (2x + 6y)
Answer:
6x+18y
Step-by-step explanation:
Answer:
6x + 18y or 6 (x + 3y)
Step-by-step explanation:
Distribute the 3 or divide the parentheses by 2
Maya made 25% of her free throws over the season. If she shot 180 free throws, how
many did she make?
Multiply the number of shots she tried by the percentage she makes:
180 x 025 = 45
She made 45
Answer:
45
Step-by-step explanation:
25% is 1/4.
180/4 is 45.
wait i love food sooooooooooooooooooooo much
Answer:
Me toooooooooo..!!!!!!!
Johnny uses the mirror placed on level ground to measure the height of a building. Johnny's eyes are 6 feet above the ground and he stands 4 feet away from the mirror. From that distance, Johnny is able to see the top of the building in the mirror as shown in the diagram below.If the mirror is 45 feet away from the building’s base, how tall is the building?
Answer:
Step-by-step explanation:
h/45=6/4
h=45(6)/4
h=67.5ft
This is it .. I’m confused please help
Answer:
Its C, think a e and c its angle is about 150 degree
s
Determine the transition
Answer:
A Transaction by 8 units to the right and 5 units down
transaction By 5 Down 8 Right
8 out of 32 is same as??
Please tell me solution with all steps
Answer:
4
Step-by-step explanation:
32/8
= 4
Pls mark as branlist
The area of the triangle whose vertices are A(-6, -2), B(-4, -6), B(-2, 5) will be
A. 15 square units
B. 36 square units
C. 24 square units
D. 12 square units
Answer:
A. 15 square units
Step-by-step explanation:
Because it is the "Correct Answer"
Find the y-intercept of each line defined below and compare their values
Answer:
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
Step-by-step explanation:
Remember your y-intercept has an x value of zero, so line B has a y intercept of (0,-2)
now let's find b in the original equation so
y - 8 = -2x - 2 so y = -2x -2 + 8, so y = -2x + 6
So line A has a y-intercept of (0,6)
They are 8 units apart, and the y-intercept of line A is above the x-axis by 6 units, and line B is below the x-axis by 2 units
What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?
2/3
3/2
1
8
Answer:
B
Step-by-step explanation:
16 x 3/2 = 24
24 x 3/2 = 36
36 x 3/2 = 54