Answer:
Graphs 1, 2, 3
Step-by-step explanation:
Graph 1 represents a <u>linear function</u> with a domain containing all real numbers, as any input substituted into the equation or function will produce a corresponding output. The arrows on the opposite ends of the line represents the infinite input values that have its corresponding output values.
Graph 2 represents a <u>quadratic function</u> with a domain containing all real numbers, as it does not have any constraints in terms of input values. As it opens up, the graph of the parabola infinitely widens (horizontally).
Graph 3 represents an <u>absolute value function</u> with a domain containing all real numbers. Similar to the explanation for graph 2 on quadratic functions, the downward-facing graph of the given absolute value function widens infinitely horizontally, as it does not have any constraints on input values.
<span>ab + bc + b</span>²<span> + ac =
(b</span>² + bc<span>)+(ab + ac) =
b(b+ c)+a(b + с) =
(b + c)(b + a)</span>
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
-3x + y = 3
3x + 2y = -12
-----------------add
3y = - 9
y = -9/3
y = -3
3x + 2y = -12
3x + 2(-3) = -12
3x - 6 = -12
3x = -12 + 6
3x = - 6
x = -6/3
x = -2
solution is (-2,-3)
Answer:
80 ounces water
60 ounces brine
Step-by-step explanation:
Let x be the amount of water
Let y be the amount of brine 35%
The goal is to have salt weight of 140(0.15) = 21 oz.
21 = 0.35y
y = 60 oz
x = 140 - 60 = 80 oz
