Write the inequalities that are given by the :
<span>x: the number of batches of muffins
y: the number of batches of cakes
</span>Each batch of muffin requires 7 liters of milk and each batch of cakes
require 4 liters of milk.
=> liters of milk use = 7x + 4y
<span>Tania
has 56 liters of milk.=> 7x + 4y ≤ 56
Which means that the amount of muffins and cakes made are limited by the availability of 56 liter of milk.
The inequality 7x + 4y ≤ 56 is graphed by drawing the line 7x + 4y = 56 and shading the region below that line.
The line 7x + 4y = 56 has these x and y intercepts:
y-intercept: x =0 => 4y = 56 => y = 56/4 => 14 => point (0,14)
x-intercept => y = 0 => 7x = 56 => x = 56/7= 8 => point (8,0)
So, the line passes through the poins (0,8) and (14,0) and the solution region is below that line.
Also, you know that x and y are restricted to be positive or zero =>
x ≥ 0
y ≥ 0.
So, the solution region is restricted to the first quadrant.
That implies that the answer is:
</span><span>
Line joining ordered pairs 0, 14 and 8, 0. Shade the portion of the graph below this line which lies within the first quadrant
</span>
Answer:
The cost of one rose bushes be $10 and the cost of shrubs $4.
Step-by-step explanation
Let us assume that the cost of rose bushes be x .
Let us assume that the cost of shrubs be y .
As given
Rob and Amy each improved their yards by planting rose bushes and shrubs.
They bought their supplies from the same store.
Rob spent $100 on 8 rose bushes and 5 shrubs.
Than the equation
8x + 5y = 100
Amy spent $112 on 8 rose bushes and 8 shrubs.
8x + 8y = 112
Than the two equation
8x + 5y = 100 and 8x + 8y = 112
Subtracting 8x + 5y = 100 from 8x + 8y = 112
8x - 8x + 8y - 5y = 112 - 100
3y = 12

y = $4
Put in the equation 8x + 5y = 100 .
8x + 5 × 4 = 100
8x + 20 = 100
8x = 100 - 20
8x = 80

x = $10
Therefore the cost of one rose bushes be $10 and the cost of shrubs $4.
Answer:
no
Step-by-step explanation:
10² + 24² ≠ 28²
Hi!
<u>For your first question:</u>
When it looks like this, with an exponent, then parentheses, then an exponent, we should multiply the exponents.


^10
<em>P.S. As for your second question, I believe I already answered that on your other question!</em>
Answer:
m=-3
Step-by-step explanation:
m=y2-y1/x2-x1
m=16-10/5-7
m=6/-2
m=-3