The Answer to this question is negative eight after substituting in the 2 and solving to get to 9, negative 8 solves this problem.
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>
The dekameter (or decameter) first needs to be a translated into how many
the meters. deka means 10, so a dekameter it must be 10 meters. So we have to
divide 250 by 10, and then we will come up with 25 dekameters.
hope that helps!!
The equation of the function g(x) is g(x) = 7^(3x) + 1
<h3>How to determine the function g(x)</h3>
The function f(x) is given as:
f(x) = 7^x 1
When compressed horizontally by a factor of 1/3.
We have:
g(x) = f(3x)
This implies that:
g(x) = 7^(3x) + 1
Hence, the equation of the function g(x) is g(x) = 7^(3x) + 1
Read more about function transformation at:
brainly.com/question/13810353
#SPJ1
The picture's length and width are 18 and 5. You subtract 2 instead of 1 because you are subtracting 1 on both sides of the frame.
The area of the picture is 90, and the area of the whole thing, picture and picture frame, is 20*7=140.
So, to find the area of just the picture frame, you subtract 90 from 140 to get 50in^2, which is your last answer choice.
