7(x+3)
= 7x+ 7*3 (distributive property)
= 7x+ 21.
The final answer is 7x+21~
Answer:
The equation has a maximum value with a y-coordinate of -21.
Step-by-step explanation:
Given

Required
The true statement about the extreme value
First, write out the leading coefficient

means that the function would be a downward parabola;
Downward parabola always have their vertex on top of the parabola and as such, the function has a maximum value.
The maximum value is:

Where:

So, we have:



Substitute
in 


<em>Hence, the maximum is -21.</em>
In an internal operating income statement, the form is as such:
(1) Sales (or Revenue) - Total Variable Costs = Contribution Margin;
(2) Contribution Margin - Total Fixed Costs = Operating Income
and
(3) Contribution Margin Ratio = Contribution Margin/Sales
The first equation helps us out. Sales is the whole amount for this statement, or 100%. We know variable costs are 62% and the rest goes to the Cont. Margin.
100% - 68% = 32% (choice A)
Based on the calculations, the measure of angle BDF and CFG are 100° and 38° respectively.
<h3>The condition for two parallel lines.</h3>
In Geometry, two (2) straight lines are considered to be parallel if their slopes are the same (equal) and they have different y-intercepts. This ultimately implies that, two (2) straight lines are parallel under the following conditions:
m₁ = m₂
<u>Note:</u> m is the slope.
<h3>What is the alternate interior angles theorem?</h3>
The alternate interior angles theorem states that when two (2) parallel lines are cut through by a transversal, the alternate interior angles that are formed are congruent.
Based on the alternate interior angles theorem, we can infer and logically deduce the following properties from the diagram (see attachment):
For angle BDF, we have:
<BDF = <BDH + <HDF
<BDF = 38° + 62°
<BDF = 100°.
Since angles BDF and DFC are linear pair, they are supplementary angles. Thus, we have:
∠BDF + <DFC = 180°
<DFC = 180 - ∠BDF
<DFC = 180 - 100
<DFC = 80°.
For angle CFG, we have:
∠DFE + <DFC + <CFG= 180°
<CFG = 180° - ∠DFE - <DFC
<CFG = 180° - 62° - 80°
<CFG = 38°.
Read more on parallel lines here: brainly.com/question/3851016
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Answer:
The answer is 3.
Step-by-step explanation:
I took the quiz.