Answer:
A) minimum
B) maximum
C) minimum
Step-by-step explanation:
A positive x² coefficent means the parabola opens up and the vertex is the minimum
A negative x² coefficent means the parabola opens up and the vertex is the maximum
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A) minimum
B) maximum
C) minimum
An equation for annealing soda-lime glass is y(t)=−14t+500 , where t is time in minutes and y is the temperature of the glass in ˚C.
To find the y intercept , we plug in 0 for t
y intercept is the value , where time is 0 minutes
so we plug in 0 for t and find out y(0)
y(t)=−14t+500
y(0)=−14(0)+500 = 500
When t=0 , the value of y = 500
So , y intercept is (0,500)
Option A
-x + 6y = 42 is the standard form
<u>Solution:</u>
Given that we have to write
in standard form
The standard form of an equation is Ax + By = C
In this kind of equation, x and y are variables and A, B, and C are integers
Given equation is:

Let us convert the above equation into standard form


Make the denominator same in R.H.S

Solve the above equation


Move 6 from R.H.S to L.H.S

Bring all the terms to one side, leaving only constant on R.H.S

The above equation is of form Ax + By = C
Thus option A is correct
Answer:
x = 28
m<ABC = 57°
Step-by-step explanation:
✔️(2x + 1)° + 33° = 90° (complementary angles)
Solve for x
2x + 1 + 33 = 90
Add like terms
2x + 34 = 90
2x = 90 - 34 (subtraction property of equality)
2x = 56
Divide both sides by 2
x = 28
✔️m<ABC = 2x + 1
Plug in the value of x
m<ABC = 2(28) + 1
= 56 + 1
m<ABC = 57°