A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
If the value of a is negative, then the range will be (-∞, k) and if the value of the a is positive then the range will be (k, ∞).
<h3>What is a quadratic equation?</h3>
It's a polynomial with a worth of nothing.
There exist polynomials of variable power 2, 1, and 0 terms.
A quadratic condition is a condition with one explanation where the degree of the equation is 2.
Domain and range of linear and quadratic functions
Let the linear equation be y = mx + c.
Then the domain and the range of the linear function are always real.
Let the quadratic equation will be in vertex form.
y = a(x - h)² + k
Then the domain of the quadratic function will be real.
If the value of a is negative, then the range will be (-∞, k) and if the value of the a is positive then the range will be (k, ∞).
More about the quadratic equation link is given below.
brainly.com/question/2263981
#SPJ4
P= 2.5m + 35 (replace p with 115)
115= 2.5m + 35 (subract 35 from each side)
115 - 35 = 2.5m
80 = 2.5m (divide 2.5 from each side)
80/2.5= 2.5m/2.5
32 = m
The price of the materials is $32
Answer:
254 yds²
Step-by-step explanation:
There are 6 faces of the prism we need to calculate the area of for a rectangular prism.
The base and top of the prism measure 9x7 yards each, so there are two faces with an area of 63 yds² (9 x 7 = 63)
The sides of the prism measure 4x7 yards each, so there are two faces with an area of 28 yds² (4 x 7 = 28)
The front and back face of the prism measure 9x4 yards each, so there are two faces with an area of 36 yds² (9 x 4 = 36)
The total surface area is
2(63) + 2(28) + 2(36) = 254 yds²
Answer:
the mean of the red is 1.75, while the mean of the purple is 2.25
Step-by-step explanation:
LMK if this helps!
hope it does!
