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3 years ago

Use the Commutative property to write an equivalent expression 15a +7b=

Mathematics

1 answer:

Tju [1.3M]3 years ago

5 0

Simplifying

15a + 7b = 0

Solving

15a + 7b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-7b' to each side of the equation.

15a + 7b + -7b = 0 + -7b

Combine like terms: 7b + -7b = 0

15a + 0 = 0 + -7b

15a = 0 + -7b

Remove the zero:

15a = -7b

Divide each side by '15'.

a = -0.4666666667b

Simplifying

a = -0.4666666667b

You might be interested in

which equation and ordered pair represent the correct vertex form and vertex for j(x) = x^2 - 12 x +7?

Aliun [14]

Answer:

see explanation

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given the equation in standard form : ax² + bx + c : a ≠ 0

then the x-coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

j(x) = x² - 12x + 7 is in standard form

with a = 1, b = - 12 and c = 7, hence

$x_{vertex}$ = - $\frac{-12}{2}$ = 6

substitute x = 6 into j(x) for y- coordinate

y = 6² - 12(6) + 7 = 36 - 72 + 7 = - 29

vertex = (6, - 29 ) and

j(x) = (x - 6)² - 29 ← equation in vertex form

4 0

3 years ago

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When car

Debora [2.8K]

Step-by-step explanation:

Suppose that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in its tank. When carrying 15 gallons of fuel, the airplane weighs 2187 pounds. When carrying 35 gallons of fuel, it weighs 2303 pounds. How much does the airplane weigh if it is carrying 50 gallons of fuel?

----

You have two points relating fuel and weight.

(15,2187) and (35,2303)

------------

slope = (2303-2187)/(35-15) = 5.8

----

intercept = ?

2187 = 5.8*15 + b

b = 2100

-------

Equation:

f(x) = 5.8x + 2100