What is the resulting equation when the expression for y in the second equation is substituted into the first equation? 3x + y = 1 y = 6 - 4x a. -x + 6 = 1 b. x + 6 = 1 c. 7x + 6 = 1

QUESTION POSTED AT 18/01/2020 - 07:14 AM

Answered by admin AT 18/01/2020 - 07:14 AM

Answer:

When expression for y in the second equation is substituted into the first equation than the resulting equation -x + 6 = 1 .

Option (a) is correct .

Step-by-step explanation:

As given the equations in the questions are

3x + y = 1

y = 6 - 4x

As expression for y in the second equation is substituted into the first equation .

i.e put y = 6 - 4x in 3x + y = 1  .

3x + 6 - 4x = 1  

Solving the above

-x + 6 = 1

Therefore the when expression for y in the second equation is substituted into the first equation than the resulting equation -x + 6 = 1 .

Option (a) is correct .

Post your answer

Related questions

What is the equation of a hyperbola with a = 6 and c = 8? Assume that the transverse axis is horizontal.

The standard equation for a hyperbola with a horizontal transverse axis is 

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
 . The center is at (h, k) . The distance between the vertices is 2a . The distance between the foci is 2c and c^2 = a^2 + b^2. Therefore,

8^2 = 6^2 + b^2
b = 2
√7
Assuming it is located at the origin.

(x-h)^2/a^2 - (y-k)^2/b^2  = 1
(x)^2/6^2 - (y)^2/(2√7)^2  = 1
x^2/36 - y^2/28  = 1

ANSWERED AT 20/02/2020 - 09:54 AM


QUESTION POSTED AT 20/02/2020 - 09:54 AM

Which scenario is represented by this equation? 1200 =3×+120

G. is your answer have a nice evening

ANSWERED AT 19/02/2020 - 06:08 PM


QUESTION POSTED AT 19/02/2020 - 06:08 PM

Find the value of x that fits the equation: 24x - (3 - 0.06x) = 4(0.7 + 6).

24x-3+0.06x=4(6.7)
24.06x-3=26.8
24.06x=29.8
x=about 1.24

ANSWERED AT 19/02/2020 - 06:01 PM


QUESTION POSTED AT 19/02/2020 - 06:01 PM

(3y^0 x^2)^6 times y^-3 zx8

Ok so some basic rules

(x^m)(x^n)=x^{m+n}
(ab)^c=(a^c)(b^c)
(x^m)^n=x^{mn}
x^0=1
x^{-m}= \frac{1}{x^m}

so
[(3y^0x^2)^6][y^{-3}zx^8]
[(3(1)x^2)^6][y^{-3}zx^8]
[(3x^2)^6][y^{-3}zx^8]
[(3^6)((x^2)^6)][y^{-3}zx^8]
[(3^6)(x^{12})][y^{-3}zx^8]
(3^6)(x^{12})(y^{-3})(z)(x^8)
(3^6)(x^{12})(x^8)(y^{-3})(z)
(3^6)(x^{20})(\frac{1}{y^3})(z)
\frac{3^6x^{20}z}{y^3}
\frac{729x^{20}z}{y^3}

ANSWERED AT 19/02/2020 - 05:17 PM


QUESTION POSTED AT 19/02/2020 - 05:17 PM

Which number, when substituted for x, makes the equation 4x+8=164x+8=16 true?

Answer:

x=2

Step-by-step explanation:

We have been given an equation 4x+8=16. we are asked to find the value of x that makes our given equation true.

Let us solve our given equation for x using opposite operations.

Subtract 8 from both sides:

4x+8-8=16-8

4x=8

Divide both sides by 4:

\frac{4x}{4}=\frac{8}{4}

x=2

Therefore, x=2 is the solution for our given equation.

Let us verify our answer:

4x+8=16

4(2)+8=16

8+8=16

16=16

Both sides are equal. Hence proven x=2 is solution for our given equation.

ANSWERED AT 19/02/2020 - 04:35 PM


QUESTION POSTED AT 19/02/2020 - 04:35 PM

A picture frame is 5 inches on 2 sides and x inches on the other 2. If its perimeter is 50 inches, how long is each of the other sides? 20 22 45 48

The answer is 20 because 5+5=10. 50-10=40. 40 divided by 2 = 20!
The answer is 20!

ANSWERED AT 19/02/2020 - 04:28 PM


QUESTION POSTED AT 19/02/2020 - 04:28 PM

15 is how many times more than 5? Write the expression not the answer.

Huh well, you can do 5 times x = 15 or 15/5 = x
x is the answer

ANSWERED AT 19/02/2020 - 03:57 PM


QUESTION POSTED AT 19/02/2020 - 03:57 PM

What kind of growth model (pattern) is shown in the table? x y 1 5 2 25 3 125 4 625 5 3,125 a. square root b. linear c. exponential d. quadratic

Answer:

Option C is correct.

The kind of growth model is shown in the table is exponential

Step-by-step explanation:

Exponential growth function is in the form of :  y = ab^x  ......[1];   where a is the initial value and b> 0.

Consider any two point from the table:

(1 , 5) and ( 2 , 25)

Substitute these in the equation [1] we get;

5 = ab^1         ......[2]

25 = ab^2      ......[3]

Divide equation [3] by [2] we have;

\frac{25}{5} = \frac{ab^2}{ab}

Simplify:

5 = b

Now substitute this value in equation [2] we get;

5 = a \times 5

Divide both sides by 5 we get;

\frac{5}{5} = \frac{5a}{5}

Simplify:

1=a or a = 1

Therefore, the table shown the  exponential growth function is, y = 5^x

ANSWERED AT 19/02/2020 - 03:44 PM


QUESTION POSTED AT 19/02/2020 - 03:44 PM

2 to the 3rd power = 2x? determine the value of x

2 to the 3rd power equals 8. 2x2x2=8. 2x would then equal 16. 2x8=16.

ANSWERED AT 19/02/2020 - 03:27 PM


QUESTION POSTED AT 19/02/2020 - 03:27 PM

20% of a number is x. What is 100% of the number? Assume x>0.

100% of a number would be 5 * 20.

5x

ANSWERED AT 19/02/2020 - 02:47 PM


QUESTION POSTED AT 19/02/2020 - 02:47 PM

Hannah has 127 books in her collection. Her school is hosting a book donation. There are z students at her school, and they each plan to donate the same number of books and reach a total donation of 300 books! How many books will Hannah have in her collection after her donation? Write your answer as an expression.

Answer:

b/50

Step-by-step explanation:                                                                          There were 150 students who donated a total of b books.

The students donated an average of b/150 books each.

Hannah donated 3 times as many books as the average.

b/150 * 3 = b/50

Hannah donated b/50 books.

ANSWERED AT 19/02/2020 - 02:30 PM


QUESTION POSTED AT 19/02/2020 - 02:30 PM

Find the value of "a" for which the graph of the first equation is perpendicular to the graph of the second equation. 1) equation : y=a/3x-6 2) equation 4x+2y=6 Their is the same problems but different equation.1) 3y+ax=8 2)3/4x+2

Perpendicular lines will have negative reciprocal slopes. Example : if u r given a slope of 1/3, to find the negative reciprocal, flip the slope and change the sign. So the negative reciprocal of 1/3 is -3/1 or just -3. So slope 1/3 and slope -3 are perpendicular.
==================
equation 2 : 
4x + 2y = 6
2y = -4x + 6
y = -2x + 3...the slope here is -2....a perpendicular line will have a slope of 1/2.

y = (a/3)x - 6......so we have to make a/3 = 1/2......1.5/3 = 1/2
so a = 1.5
===================
eq. 2 : 3/4x + 2
not sure what the entire equation is.....but it looks to have a slope of 3/4. That means a perpendicular line will have a slope of -4/3.

3y + ax = 9
3y = -ax + 9
y = (-a/3)x + 3.....therefore, a has to be 4


ANSWERED AT 19/02/2020 - 02:18 PM


QUESTION POSTED AT 19/02/2020 - 02:18 PM

How to find an equation of a line when given two points

Using any specific formula or what?

ANSWERED AT 19/02/2020 - 01:41 PM


QUESTION POSTED AT 19/02/2020 - 01:41 PM

Which of the following best describes the solution to the system of equations below? 7x + 4y = 8 7x + 4y = 13 A. The system of equations has exactly one solution where x=8 and y=13 . B. The system of equations has infinitely many solutions. C. The system of equations has no solution. D. The system of equations has exactly one solution where x=0 and y=2 .

The answer is D !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!                                                                               

ANSWERED AT 19/02/2020 - 01:34 PM


QUESTION POSTED AT 19/02/2020 - 01:34 PM

Thomas buys a cardboard sheet that is 12 by 8 inches. Create an equation for this situation, find the zeros, and sketch the function. What is the size of the cutout he needs to make so that he can fit the maximum amount of food in the box? If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box? Using complete sentences, explain the connection between the cutout and the volume of the box. Design an equation that would work for any cardboard sheet length, q, and width, p.

For the answer to the question above,

1. If we let x as the side of the square cut-out, the formula for the capacity (volume) of the food dish is:
V = (12 - 2x)(8 - 2x)(x)
V = 96x - 40x^2 + 4x^3
To find the zeros, we equate the equation to 0, so, the values of x that would result to zero would be:
x = 0, 6, 4

2. To get the value of x to obtain the maximum capacity, we differentiate the equation, equate it to zero, and solve for x.
dV/dx = 96 - 80x + 12x^2 = 0
x = 5.10, 1.57
The value of x that would give the maximum capacity is x = 1.57

3. If the volume of the box is 12, then the value of x can be solved using:
12 = 96x - 40x^2 + 4x^3
x = 0.13, 6.22, 3.65
The permissible value of x is 0.13 and 3.65

4. Increasing the cutout of the box increases the volume until its dimension reaches 1.57. After that, the value of the volume decreases it reaches 4.

5. V = (q -2x) (p - 2x) (x)

ANSWERED AT 19/02/2020 - 01:10 PM


QUESTION POSTED AT 19/02/2020 - 01:10 PM

Which expression shows how to find the number of students that play each instrument. How many students play the clarinet?

8=f/2=answer hope this helps

ANSWERED AT 19/02/2020 - 12:36 PM


QUESTION POSTED AT 19/02/2020 - 12:36 PM

The population f(x), in millions, of State A of a country after x years is represented by the function shown below: f(x) = (1.08)x The graph shows the population g(x), in millions, of State B of the country after x years: Graph of function g of x equals 2 multiplied by 1.08 to the power of x Which conclusion is correct about the population of State A and State B? The original population of State B was half of the original population of State A. The original population of State A was half of the original population of State B. The original population of State B was one-fourth of the original population of State A. The original population of State A was one-fourth of the original population of State B.

-- State-A . . . Population = 1 · (1.08)ˣ

-- State-B . . . Population = 2 · (1.08)ˣ

' x ' = number of years after the original population
At the beginning, x=0.
Any quantity raised to the zero power = 1.
At the beginning, when x=0, the original populations were
       State-A  =  1 · 1  =  1
       State-B  =  2 · 1  =  2

The original population of State A was half of
the original population of State B.


ANSWERED AT 19/02/2020 - 11:53 AM


QUESTION POSTED AT 19/02/2020 - 11:53 AM

(-3×-7)+(4x+7) pleasw solve this

-3x -7 + 4x + 7

= 4x - 3x - 7 + 7

= x - 7 + 7

= x

Or.. if your are doing it this way then it would be

(-3 * -7) + (4 +7)

= 3 * 7 + 4 +7

= 21 + 4 + 7

= 32

Hope these help! :)

ANSWERED AT 19/02/2020 - 11:44 AM


QUESTION POSTED AT 19/02/2020 - 11:44 AM

3/4 x 3/4 x 3/4 x 3/4 x 3/4

.237 would be the answer though it's not a terminating decimal.

ANSWERED AT 19/02/2020 - 11:43 AM


QUESTION POSTED AT 19/02/2020 - 11:43 AM

The sum of one and the product of one and a number x

X+1 or 1+x because 1 multiply x is x 

ANSWERED AT 19/02/2020 - 11:30 AM


QUESTION POSTED AT 19/02/2020 - 11:30 AM

What number does ▲ stand for in this equation? 6 × 3 = (▲ × 5) – (▲ × 2)

It stands for the number 6

hope this helps you

ANSWERED AT 19/02/2020 - 11:29 AM


QUESTION POSTED AT 19/02/2020 - 11:29 AM

Substitution method- y=-x+4 and y=3x

Substitue y=3x into the other equation to get 3x=-x+4. Solve this to get 4x=4 therefore x=1.
knowing this, y=3

ANSWERED AT 19/02/2020 - 11:22 AM


QUESTION POSTED AT 19/02/2020 - 11:22 AM

Solve 12^x-2=20 round to the nearest ten-thousandth

12^x = 22 
x * log 12 = log 22 
finsih that then you round it to the nearest thousandth 
that's what i learnt.

ANSWERED AT 19/02/2020 - 11:21 AM


QUESTION POSTED AT 19/02/2020 - 11:21 AM

4. Let f(x)=-2x+7 and g(x)=-6x+3. Find f×g and state its domain A. 12x^2-48x+21;all real numbers B. -14x^2+36x-18;all real numbers except x=7 C. -14x^2+36x-18;all real numbers D. 12x^2-48x+21;all real numbers except x=1

I hope this helps you

(f.g) (x)=(-2x+7)(-6x+3 )

(f.g)(x)=12x^2-6x-42x+21

(f.g)(x)=12x^2-48x+21

A

ANSWERED AT 19/02/2020 - 10:19 AM


QUESTION POSTED AT 19/02/2020 - 10:19 AM

Solve x + x + 2 + 2x = -2.

X=-1 is the answer i beleive

ANSWERED AT 19/02/2020 - 09:42 AM


QUESTION POSTED AT 19/02/2020 - 09:42 AM

Write an equation point slope form for the line that goes through the given point with the given slope. (-4,-2);m=-1/2

Y - y1 = m(x - x1)
slope(m) = -1/2
(-4,-2)...x1 = -4 and y1 = -2
now we sub
y - (-2) = -1/2(x - (-4) =
y + 2 = -1/2(x + 4) <=====

ANSWERED AT 19/02/2020 - 01:12 AM


QUESTION POSTED AT 19/02/2020 - 01:12 AM