1/4 of 180 gets you the answer 45
Answer:
The temperature of the oven after 6 minutes is 125 degrees and after 10 minutes its 165 degrees.
Step-by-step explanation:
10 x 6 = 60
60+65=125
10 x 10 = 100
100+65=165
Answer:
(a) x = 13000 -135p
(b) x = 8140
Step-by-step explanation:
(a) consumer expenditure = 13000p -135p^2 = p(13000 -135p)
= px
so, x = 13000 -135p
__
(b) Filling in p=36, we find ...
x = 13000 -135·36
x = 8140
<em>The </em><em>vertex of the function is at (5, 10)</em>
<em>For the function, th</em><em>e domain exists </em><em>on all </em><em>real numbers</em><em> while the range exist for the value</em><em> f(x) ≥ 10</em>
<h3>Vertex, domain and range of a function</h3>
The vertex of a quadratic or linear function is in the form
y = a(x – h)^2 + k
where;
(h, k) is the vertex of the function
Given the function expressed as;
f(x) = |x-5| + 10
On comparison, you can see that h = 5 and k =10, hence the vertex of the function is at (5, 10)
<u>For the domain and range</u>
Domain are the dependent variable for which a function exist while the range is the independent variable for which a function exist.
For the function, the domain exists on all real numbers while the range exist for the value f(x) ≥ 10
Learn more on vertex, domain and range here: brainly.com/question/544653
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Answer:
x = 4
Step-by-step explanation:
To begin, first find Angle SUT.
Knowing that SUH is a straight line, Angle SUT plus 100 degrees should equal 180 degrees. Angle SUT is 80 degrees.
The sum of all the degrees in a triangle is also 180 degrees.
SO
(4x + 4) + (21x - 4) + 80 = 180
25x + 80 = 180
25x = 100
x = 4