All categories

3 years ago

Consider the following pair of equations:

Mathematics

1 answer:

nlexa [21]3 years ago

7 0

Since both of the equations equal Y can substitute one for the Y and say that
X-1=3x+3
-4=2x
-2=x

You might be interested in

what is the equation in slope form of the line that is parallel to the given line and passes through the point (-3,1)

viktelen [127]

Answer:

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate the slope of the given line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 2, - 4) and (x₂, y₂ ) = (2, 2) ← 2 points on the line

m = $\frac{2+4}{2+2}$ = $\frac{6}{4}$ = $\frac{3}{2}$

Parallel lines have equal slopes and using (a, b) = (- 3, 1), then

y - 1 = $\frac{3}{2}$ (x - (- 3)), that is

y - 1 = $\frac{3}{2}$ (x + 3) ← in point- slope form

6 0

3 years ago

4 + 5x = 3 (-x + 3) -11

Salsk061 [2.6K]

Answer:

4 + 5x = 3 (-x + 3) -11

4+5x=-3x+9-11

5x+3x=9-11-4

8x= -6

x= -0.75

8 0

3 years ago

Which properties were used to solve the following problem?

Stels [109]

Step-by-step explanation:

25(2x) + 25(3y)

25 · (2 · x) + 25 · (3 · y)

(25 · 2) · x + (25 · 3) · y Associative property (a · b) · c = a · (b · c)

(25 · 2)x + (25 · 3)y

(2 · 25)x + (3 · 25)y Commutative property a · b = b · a

50x + 75y

5 0

3 years ago

Jeffrey had both chocolate cake and coconut cake at his birthday party. There were 25 people at the party, and 20 of them picked

Irina18 [472]

Answer: 555555

Step-by-step explanation:

55555

7 0

3 years ago

Given f"(x) = 2, f'(1)=4, and f(2)=-2, find f(x).

Anna [14]

Answer:

Step-by-step explanation:

f"(x)=2

integrating

f'(x)=2x+c

f'(1)=2+c=4

c=4-2=2

f'(x)=2x+2

integrating

f(x)=2x^2/2+2x+a

f(x)=x^2+2x+a

f(2)=-2

(2)^2+2(2)+a=-2

4+4+a=-2

a=-2-8=-10

f(x)=x^2+2x-10

6 0

2 years ago