One way of determining the answer is by substituting the values to the equation. It is done as follows:
A. (4,1)
<span>y = 3x - 1
</span>1 = 3(4) - 1 = 11 -------> not equal
B. (2,5)
<span>y = 3x - 1
</span>5 = 3(2) - 1 = 5 --------> equal
C. (4,3)
<span>y = 3x - 1
</span>3 = 3(4) -1 --------------> not equal
D. (0, -3)
<span>y = 3x - 1
-3 = 3(0) -1 = -1 ---------> not equal</span>
To find the slope you use the equation:
m = (y₂-y₁) ÷ (x₂-x₁)
You plug in the two points into this equation to find m (m is the slope)
m = (1 - 0) ÷ (0 - 2)
m = 1 ÷ (-2)
m = - 1/2
Next you use this equation:
y = mx + b
Because you know m you plug it in.
y = -1/2x + b
Now you need to find b. To do so you plug in either of the points into this equation(you come out with the same answer for b)
y = -1/2x + b
1 = -1/2(0) + b
1 = b
Finally you plug in b and you get your new equation.
y = -1/2x + 1
Answer:
<h2><em><u>x = 5</u></em></h2>
Explanation:
11 - x < 7
- 11 minus a number is less than 7
<em>Insert 5 into the equation</em>
11 - 5 < 7
<em>Simplify</em>
6 < 7
<em>Insert 3 into the equation</em>
11 - 3 < 7
<em>Simplify</em>
8 < 7
<h3><u><em>x = 5 is a solution to the equation 11 - x </em></u><u>< 7</u></h3><h3><u /></h3>
- PacificNorthwest
Answer:
cost of bracelet = 25*.05 +4*.45
cost of bracelets = 2(25*.05 +4*.45)
Step-by-step explanation:
One bracelet
Supplies needed:
25 beads and 4 charms
Each bead costs .05 and each charm costs .45
Cost of bracelet = number of beads * cost per bead + number of charms * cost per charm
cost of bracelet = 25*.05 +4*.45
cost of bracelet = 1.2 +1.8
=3.00
To make 2 bracelets
Cost of bracelets =2*( number of beads * cost per bead + number of charms * cost per charm)
cost of bracelets =2*( 25*.05 +4*.45)
cost of bracelets=2( 1.2 +1.8)
cost of bracelets = 2*3
cost of bracelets = 6
