Answer:
y = 3/7x - 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Slope-Intercept Form: y = mx + b
Step-by-step explanation:
<u>Step 1: Define</u>
Slope <em>m</em> = 3/7
Point (14, 0)
<u>Step 2: Find y-intercept </u><em><u>b</u></em>
- Substitute: 0 = 3/7(14) + b
- Multiply: 0 = 6 + b
- Isolate <em>b</em>: -6 = b
- Rewrite: b = -6
<u>Step 3: Write linear equation</u>
y = 3/7x - 6
Answer:
The baker uses 15 cups of cereal for 10 cups of marshmallows
Step-by-step explanation:
The proportion 6:4 has to stay true in the answer, so both numbers have to be multiplied by the same number
6 x 2.5 = 15
4 x 2.5 = 15
both numbers were multiplied by the same number in this answer and it is the only answer that stays true to the ratio
Answer:
If one of the data points has the form \displaystyle \left(0,a\right)(0,a), then a is the initial value. Using a, substitute the second point into the equation \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
, and solve for b.
If neither of the data points have the form \displaystyle \left(0,a\right)(0,a), substitute both points into two equations with the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
. Solve the resulting system of two equations in two unknowns to find a and b.
Using the a and b found in the steps above, write the exponential function in the form \displaystyle f\left(x\right)=a{\left(b\right)}^{x}f(x)=a(b)
x
.
Step-by-step explanation:
Answer:8498
Step-by-step explanation:
(7*1000)+(7*200)+(7*10)+(7*4)
7000+1400+70+28
8498
The graph of the function is a parabola.
The nose comes down as far as y=4 but no farther.
That happens when (x - 2)² = 0 , and THAT happens when x = 2 .