A pair of equations is shown below:y = 3x − 5
y = 6x − 8
Part A: Explain how you will solve the pair of equations by substitution or elimination. Show all the steps and write the solution. (5 points)
Part B: If the two equations are graphed, at what point will the lines representing the two equations intersect? Explain your answer.
Answers
y = 6x - 8
y = y
3x - 5 = 6x - 8
3x - 6x = -8 + 5
-3x = -3
x = -3/-3
x = 1
y = 3x - 5 ⇒ 3(1) - 5 = 3 - 5 ⇒ y = -2
y = 6x - 8 ⇒ 6(1) - 8 = 6 - 8 ⇒ y = -2
x = 1 ; y = -2 or (1,-2) is the point of intersection.
Answer:
A.
y = 3x - 5
y = 6x - 8 We simply subtract the second equation from the first. This eliminates y:
0 = 3x - 6x - 5 - (-8)
0 = -3x - 5 + 8
3x = 3
x = 1
Now substitute for x in first equation:
y = 3(1) - 5
y = -2.
B. x = 1 and y = -2 are the values that satisfy both equations. So the liones will intersect at this point (1, -2).
y = 3x - 5
y = 6x - 8 We simply subtract the second equation from the first. This eliminates y:
0 = 3x - 6x - 5 - (-8)
0 = -3x - 5 + 8
3x = 3
x = 1
Now substitute for x in first equation:
y = 3(1) - 5
y = -2.
B. x = 1 and y = -2 are the values that satisfy both equations. So the liones will intersect at this point (1, -2).
Step-by-step explanation:
no need for one be sure to parapharse
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60.34 to the nearest tenth a second
Select the property of equality used to arrive aSelect the property of equality used to arrive at the conclusion.If x = 2, then x + 8 = 10 a.the multiplication property of equality b.the division property of equality c.the addition property of equality d.the subtraction property of equality
If F (x) = 5x^3 - 2 and g (x) = x+1, find (f-g) (x)
Answers
Answer:
Her gross pay for that week=$525
Step-by-step explanation:
Step 1: Express the gross pay
The gross pay can be expressed as follows;
A=F+(R×T)
where;
A=the gross pay per week
F=fixed income per week
R=commission rate
T=total commission sales
In our case;
F=$300 a week
R=15%=15/100=0.15
T=(2,500-1,000)=$1,500
replacing;
A=300+(15% of 1,500)
A=300+(0.15×1,500)
A=300+225=525
A=$525
Her gross pay for that week=$525
Answers
you can do it by using trignometry.
Answers
Answer:
The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
Step-by-step explanation:
Let us assume that the cost of one muffins be x.
Let us assume that the cost of one 1 quarts of milk be y.
As given
The cost of 8 muffins and 2 quarts of mil is $18.
Than the equation becomes
8x + 2y = 18
As given
The cost of 3 muffins and 1 quart of milk is $7.50.
Than the equation becomes
3x + 1y = 7.50
Two equations are
8x + 2y = 18 and 3x + 1y = 7.50
Multiply 3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .
Thus
8x - 6x + 2y - 2y = 18 - 15
2x = 3
x = 1.5
Put x = 1.5 in 3x + 1y = 7.50
3 × 1.5 + y = 7.50
y = 7.50 - 4.5
y = 3
Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .
a. 0
b. 1
c. 9 + 6i
d. -9 + 6i
Answers
An equation is formed of two equal expressions. In the given equation (9–6i)×m = 9–6i, the value of m is 1.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In the given equation (9–6i)×m = 9–6i, the value of m can be found as,
(9–6i)×m = 9–6i
Divide both the sides of the equation by (9–6i),
m = 1
Hence, In the given equation (9–6i)×m = 9–6i, the value of m is 1.
Learn more about Equation:
#SPJ2
I hope this helped
Answers
36v.......4g
x...........11g
Cross multiply
4x= 36*11
4x= 396
x= 396/4
x= 99
When g=11 V will equal 99
I hope that's help !
you can also doing it another way
4*9= 36v
11*9= 99
If you have questions please ask !
Answers
The surface area of the cube, in inches² is 96in²
The formula for calculating the surface area of a cube is expressed as:
S = 6L²
L is the side length of the cube
Given that L = 4in. Substitute the given parameter into the formula:
S = 6(4)²
S = 6(16)
S = 96in²
Hence the surface area of the cube, in inches² is 96in²
Learn more here: brainly.com/question/3734595
Answer: 96 in2
Step-by-step explanation: This is because u have to mutiple the two bases and the lateral sides to get your area