Answer:
x = 5.75
Step-by-step explanation:
4^(x+7) = 8^(2x-3)
But; 4^(x+7) = 2^2(x+7)
8^(2x-3) = 2^3(2x-3)
2^2(x+7) = 2^3(2x-3)
Since the bases are the same;
2(x+7) = 3(2x-3)
2x + 14 = 6x -9
14 + 9 = 6x - 2x
23 = 4x
x = 23/4
<u>x = 5.75</u>
The range is {-37,-25,-13,-1}. So you need to figure out what four numbers from this list of numbers (1,2,3,4,5,6,7,8), when applied to this
function, ( f(x)=-6x+11 ), equals these numbers that are in the range {-37,-25,-13,-1}.
So you apply each of these numbers (1,2,3,4,5,6,7,8) into the function (f(x)=-6x+11)
one by one.
f(1)=-6(1)+11=5
f(2)=-6(2)+11= -1
f(3)=-6(3)+11= -7
f(4)=-6(4)+11= -13
f(5)=-6(5)+11= -19
f(6)=-6(6)+11= -25
f(7)=-6(7)+11= -31
f(8)=-6(8)+11= -37
As you can see, f(2),f(4),f(6),and f(8) equal the numbers that are in the range {-37,-25,-13,-1}.
Answer:
The answer is: A
Step-by-step explanation:
The way the numbers are counting around the wheel and the color pattern all match A
Answer:
$1.80
Step-by-step explanation:
Let the cost of a hot dog = x
The cost of a hot dog roll = y
Eight hot dogs and seven hot dog rolls cost $\$13.60$.
8x + 7x = $13.60..... Equation 1
Seven hot dogs and eight hot dog rolls cost $\$13.40$.
7x + 8x = $13.40...... Equation 2
Combining both Equation
8x + 7x = $13.60..... Equation 1
7x + 8x = $13.40...... Equation 2
Eliminating x
Multiply 1 by 7
Multiply 2 by 8
56x + 49y = 95.2..... Equation 3
56x + 64y = 107.2 ..... Equation 4
Subtracting 4 from 3
-15y = -12
y = -12/-15
y = 0.8
Cost of one hot dog roll = $0.8
Solving for x
8x + 7x = $13.60
8x + 7(0.8) = 13.60
8x + 5.6 = 13.60
8x = 13.60 - 5.60
8x = 8.0
x = 8.0/8
x = 1.
Cost of one hot dog = $1.0
The cost in dollars of a hot dog and a hot dog roll cost combined is
x + y
= $1 + $0.8
= $1.80
