Answer:
No, because 7/8=0.875, which is not greater than 1.
Which statement about this system of equations is true? A. The system has no solution. B. The system has a unique solution at (0,6). C. The system has a unique solution at (0,-4). D. The system has infinitely many solutions.
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]
slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
Answer:
[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]
Step-by-step explanation:
For the system of equations to have solutions, the two equations have to intersect on the graph.
The two lines on the graph never intersect, therefore there are no solutions for the system of equations.
The first two terms of an arithmetic progression are 27 and 24 respectively. How many terms of the progression are to be added to get - 30?
Answer:
20 terms
Step-by-step explanation:
Given AP with the first two terms:
a₁= 27 and a₂=24Common difference:
d= 24-27 = -3To find
n for which Sₙ= -30SolutionSₙ = 1/2*n*(a₁+aₙ) = 1/2n(a₁+a₁+(n-1)d) =1/2n(27+27+(n-1)(-3))= 1/2n(54 - 3n + 3) = 1/2n(57 - 3n)Since Sₙ = -30
1/2n(57 - 3n) = -3057n - 3n² = -6019n - n²- 20 = 0n² -19 n -20= 0Solving the quadratic equation we get:
n =20So the sum of 20 terms will add up - 30
Select all numbers that are in the range.
-3
-2
-1
0
1
2
Answer: -2, 0, and 2.
Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.
the numbers that are in the range of the relation R are -2, 0, and 2.
To determine the numbers that are in the range of the given relation R, we need to identify the second components (y-values) of each ordered pair in the relation.
The range of a relation consists of all the unique y-values that are paired with x-values in the relation.
For the given relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}, the second components (y-values) are:
-2, 0, 2, 2.
To find the numbers that are in the range, we look for the unique values among these y-values:
-2, 0, 2.
Therefore, the numbers that are in the range of the relation R are -2, 0, and 2.
Learn more about range here
https://brainly.com/question/28135761
#SPJ2
Complete question is below
R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the range.
-3
-2
-1
0
1
2
NEED HELP ASAP ALGEBRA 2
Find the third side in simplest radical form
Answer:
36
Step-by-step explanation:
a² + b² = c²
a² + 77² = 85²
a² + 5929 = 7225
a² = 1296
a = 36
Step-by-step explanation:
[tex] \sqrt{ {85}^{2} - {77}^{2} } [/tex]
[tex] \sqrt{1296} [/tex]
[tex] 36 [/tex]
please someone help....
Answer:
Box 1
Step-by-step explanation:
If you look carefully, you will notice that Boxes 2, 3, and 4 are all equations. We know this because they all have the "=" sign. On the other hand, Box 1 is an expression. We know this because it doesn't have an "=" sign. Therefore, Box 1 is the odd one out.
Solve the equation 58 - 10x ≤ 20 + 9x
Answer:
x≥2
Step-by-step explanation:
First, write out the equation as you have it:
[tex]58-10x\leq20+9x[/tex]
Then, add [tex]10x[/tex] to both sides:
[tex]58-10x+10x\leq20+9x+10x\\58\leq20+19x[/tex]
Next, subtract [tex]20[/tex] from both sides:
[tex]58-20\leq20-20+19x\\38\leq19x[/tex]
Finally, divide both sides by [tex]19[/tex]:
[tex]\frac{38}{19}\leq\frac{19x}{19}\\2\leq x[/tex]
or
[tex]x\geq 2[/tex]
Therefore: the answer to this inequality/equation is: x≥2
One of the angles of a regular decagon is 144°. What is the sum of the measures of all the interior angles of this decagon? A. 930° B. 1240° C. 1440° D. 1800°
Answer:
The answer would be c. 1440
Step-by-step explanation:
one of the angels would be 144 so you're gonna have to end up multiplying it by 10 which leads to 1440
Zoua’s older sister borrowed $3,000 from a bank to buy a used car. She asked Zoua to figure out the total amount she will have to pay back at a 4.6% simple annual interest rate over a period of 48 months. How much will Zoua’s sister have to pay the bank?
Answer: $3433.34
Step-by-step explanation:
48 months is the same as 4 years so we will represent the whole situation as.
3000 * 1.046^4 = 3433.34
Answer:
D. 3,552.00
Step-by-step explanation:
The high temperature Monday was 4 degrees. The low temperature was -7 degrees. What is the difference between the high and low temperatures?
Answer:
Hey there!
We are trying to find the difference between 4 and -7
We can write -7+x=4, where x is the difference we are trying to find.
Solving for x, we get that the difference is 11.
Let me know if this helps :)
The difference between the high and low temperatures is 11 degrees.
Given :
The high temperature Monday was 4 degrees.
The low temperature was -7 degrees.
We need to find the difference between high and low temperatures .
To find the difference ,we subtract low temperature from high temperature
High temperature - low temperature
[tex]High - low \; temperature \\4-(-7)\\4+7\\11[/tex]
The difference between the high and low temperatures is 11 degrees.
Learn more : brainly.com/question/4600267
Which expression is equivalent to √-60? A) -2√15 B) -4√15 C) 4i√15 D) 2i√15
Answer:
d) 2i√15
Step-by-step explanation:
60/4 is 15 so you can take out the square of 2 and the -
ab + c = d solve for b
Answer:
[tex]\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}[/tex]
Step-by-step explanation:
[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}[/tex]
-4(2x - 1) = -6(x + 2) - 2.
Answer:
x=9
Step-by-step explanation−4(2x−1)=−6(x+2)−2
(−4)(2x)+(−4)(−1)=(−6)(x)+(−6)(2)+−2(Distribute)
−8x+4=−6x+−12+−2
−8x+4=(−6x)+(−12+−2)(Combine Like Terms)
−8x+4=−6x+−14
−8x+4=−6x−14
Step 2: Add 6x to both sides.
−8x+4+6x=−6x−14+6x
−2x+4=−14
Step 3: Subtract 4 from both sides.
−2x+4−4=−14−4
−2x=−18
Step 4: Divide both sides by -2.
−2x
−2
=
−18
−2
x=9
Answer:
2
Step-by-step explanation:
This is our equation-
-4(2x-1)=-6(x+2)
We are trying to isolate x in a side, but first, we must multiply the numbers in between the brackets. A negative number multiplied by a positive number gives a negative number, and a negative times a negative is positive, so-
-8x·4=-6x+(-12)
Now we have to multiply -8x times 4
-32x=-6x-12
Now we isolate x-
-24x=-12
We divide and get the final result of x=2
x=2
On a map, 1/4 inch between locations represents an actual distance of 2 miles between the locations. What is the actual distance, in miles, between the two cities that are 3 3/4 inches apart on the map?
Answer:
30 miles
Step-by-step explanation:
1/4 = 2
3 3/4 = x
15/4 = x
So, Cross multiply
=> 1/4 * x = 15/4 * 2
=> 1/4x = 15/4 * 4/2
=> 1/4x = 60/8
=> 1/4x = 7.5
=> 1/4x * 4 = 7.5 * 4
=> x = 30
So, 15/4 inches on the map equals 30 miles.
Write each number in standard notation 2.7 time 10 to the 8 please explain step by step
Answer:
270,000,000
Step-by-step explanation:
2.7 time 10 to the 8 means 2.7*10⁸ in scientific notation
To put it in standard notation
Multiply 2.7 by 10⁸, which is 100,000,000
2.7*100,000,000 = 270,000,000Write an algebraic expression that models the situation "You had 250 minutes left on your cell phone, and you talk an hour a week." Use w to represent the number of weeks. A. 250 + 60w B. 250 minus left parenthesis 7 right parenthesis left parenthesis 60 right parenthesis w C. 250 minus 60w D. 250 + 7w
Answer:
C. 250-60w
Step-by-step explanation:
(8x2 + 8x) – (-9x2 + 8x)
Answer:
17 x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x)
Distribute the minus sign
8x^2 + 8x + 9x^2 - 8x
Combine like terms
17 x^2 +0x
17x^2
Answer:
17x^2
Step-by-step explanation:
(8x^2 + 8x) – (-9x^2 + 8x) =
The parentheses on the left side are unnecessary, so just remove them.
= 8x^2 + 8x – (-9x^2 + 8x)
To remove the right set of parentheses, distribute the negative sign.
= 8x^2 + 8x + 9x^2 - 8x
Now combine like terms.
= 8x^2 + 9x^2 + 8x - 8x
= 17x^2
select the ratios simplest form is 8/7
Answer:
The ratio can be 16:14 whose simplest form is 8/7
Hope this helps (O^O)
Answer:
convert it into a mixed number 1 1/7
Will had $4355.19 in his checking account. He writes checks for $1,204.90 and $890.99. How much does Will have left in his account?
Answer:
$2259.30
Step-by-step explanation:
If will started with 4355.19$ in his checking account and wrote two checks, that mean he has taken money out of his account (subtraction operation). We can represent this with the expression:
4355.19 -1204.90 - 890.99
Using this expression, we can simplify to find the remainder of money Will has in his account once the two checks clear.
4355.19 - 1204.90 - 890.99
= 4355.19 - (1204.90 + 890.99)
= 4355.19 - (2095.89)
= 2259.30
So once the two checks Will wrote clears, he will have $2259.30 left in his checking account.
Cheers.
Answer:
$2259.28
Step-by-step explanation:
Will have $4355.19
Check writes ($1204.90+$890.99)
= $2098.89
Will have left in his account ( $4355.19 - $2098.89)
= $2259.28 (ans.)
-4+7-2(3+1)
Orders of Operations
Answer:
-5
Step-by-step explanation:
BODMAS
-4+7-2(3+1)
bracket first
-4+7-2(4)
multiply
-4+7-8
addition
3-8
-5
Lía gana $450 por semana más un 5% de comisión sobre sus ventas. Espera ganar al menos $600 cada semana. Escribe una desigualdad para representar la descripción verbal
Answer:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Step-by-step explanation:
El salario semanal es la suma de un coste fijo y un coste variable en función de las ventas logradas. El enunciado puede traducirse en la siguiente desigualdad:
[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]
Donde [tex]V[/tex] es el monto semanal de ventas, medido en pesos.
A can of paint claims that one can will
cover 400 square feet. If you painted
a square with the can of paint how
long would it be on each side?
A 200 feet
C 25 feet
B 65 feet
D 20 feet
Answer: D. 20ft
Step-by-step explanation:
Answer:
The answer would be 20 feet.
Step-by-step explanation:
This is because square feet is referring to the area. And since the area = L * W and since the sides of the square are identical. It would be 20*20=400.
NEED HELP ASAP PLEASE AND THANK YOU!!!
what is x equal to? please answer asap. thanks!
Answer:
[tex]\Huge \boxed{{x=56\°}}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Create an equation.
64 + x + 60 = 180
Solve for x.
Add the numbers.
x + 124 = 180
Subtract 124 from both sides.
x + 124 - 124 = 180 - 124
x = 56
Answer:
56°
Step-by-step explanation:
64 + 60 = 124180 - 124 = 56Why?
We did 64 + 60 because they are the two degrees that is given to us, and those two added with x will give us 180.When we add 64 and 60 together, we get 124. We then subtract that total from the total of the three angles to give us the remaining angle., which is 56.Therefore, x is 56°
Which of the following is quadratic equation?
(a) x^2-79=x^2+9x+1
(b) 12x^2-7=0
(c) 3x^2+11x+14=x(3x+5x)
(d) -x^2+11x-18=0
Answer:
a c d
Step-by-step explanation:
a c d are quadratic equation expect "b"
On average, Jim hearts beat 75 times per minute. Calculate the number of times his heart beats during 50 weeks
Answer:
37800000
Step-by-step explanation:
75 x 60 = 4500
4500 x 24 = 108000
108000 x 7 = 756000
756000 x 50 = 37800000
What percent is $35 out of $200
Answer:
17.5
Step-by-step explanation:
35℅ of 100 is 35 so 200 would be half that
Answer:
Hey!
Your answer is 17.5%!
Step-by-step explanation:
Can be written as...35/200
Now...
MULTIPLY THE NUMERATOR AND DENOMINATOR BY 100...
35/200 × 100/100
35×100/200 × 1/100
SOLVED!!!
▶ HOPE IT HELPED ◀
What is the value of x?
Answer:
x = 28
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides, then it divides the sides proportionally, that is
[tex]\frac{AC}{CR}[/tex] = [tex]\frac{AD}{DR}[/tex] , substitute values
[tex]\frac{10}{x}[/tex] = [tex]\frac{15}{42}[/tex] ( cross- multiply )
15x = 420 ( divide both sides by 15 )
x = 28
15⁹ / 15⁸= ; aplique la propiedad
The rule for dividing the exponential numbers is that:
x^n / x^m ( " ^ " is refer to show you the exponent)
= n-m .
So , 9-8 = 1 . and 15 to the power of 1 is equal to 15.
What are the solutions to this equation 2(6X² + 5x) =12
Answer:
x = - [tex]\frac{3}{2}[/tex], x = [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Given
2(6x² + 5x) = 12 ( divide both sides by 2 )
6x² + 5x = 6 ( subtract 6 from both sides )
6x² + 5x - 6 = 0 ← in standard form
(2x + 3)(3x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]
3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]
Determine the A.P whose third term is 16 and the 7th term exceeds the 5th term by 12 (2m)
Answer: [tex]a_n=6n-2[/tex]
Step-by-step explanation:
a₁, ____, 16, ____, a₅, _____, a₇
The difference of a₇ and a₅ is 2d (two steps to the next term).
It is given that 2d = 12 --> d = 6
We can subtract 6 from a₃ to find a₁
a₁ = 4, 10, 16, ____, a₅, _____, a₇
Input a₁ = 4, d = 6 into the explicit formula for an arithmetic equation.
[tex]a_n=a_1+d(n-1)\\\\a_n=4+6(n-1)\\\\a_n=4+6n-6\\\\\large\boxed{a_n=6n-2}[/tex]