Answer:
The function has a negative leading coefficient and a maximum vertex point
Explanation:
This function's leading coefficient is determined by whether it is concave up or concave down, meaning it has an Up and Up end behavior for a positive leading coefficient and a Down and Down end behavior for a negative coefficient.
This function's end behavior is Down and Down, so it must have a negative leading coefficient.
The function has a minimum vertex when the function has a positive leading coefficient and a maximum vertex point when the function has a negative leading coefficient.
This means that the functions vertex is the highest or lowest possible value of the function (the rest of the function continues forever in whichever direction.
This particular function has a maximum vertex as there is no point above the vertex here and the function has a negative leading coefficient.
Answer:
976 cm^2.
Step-by-step explanation:
The surface area = 2 * area of the triangular side + 2 * area of the rectangular sides + area of the rectangular base.
= 2 + 1/2 * 24 * 14 + 2 * 25 * 10 + 14*10
= 336 + 500 + 140
= 976 cm^2.
Answer:
20 (minutes)
Step-by-step explanation:
Look at the first columns, and it tells us that Charlie runs 2 laps in 8 minutes. Then simply divide by two, then you'll get that Charlie runs 1 lap in 4 minutes. So for five laps, multiply 4 by 5, which is 20.
The solutions to the equation 
are k = 1 and 8
The given equation is:
Square both sides of the equation
Expand the left side of the equation above
Write the quadratic equation in standard form
Factor the quadratic equation
Use the zero product property
k - 8 = 0
k = 8
k - 1 = 0
k = 1
The solutions to the equation are k = 1 and 8
Learn more here: brainly.com/question/25840704
Answer:
Step-by-step explanation:
Given
Find the length of HG
First, it should be noted that the displayed figure is a trapezium
<em>The area of a trapezium is calculated by multiplying the sum of parallel sides by half its height;</em>
In this case;
Substitute the values of Area, HE and EF
Divide both sides by 4
Subtract 12 from both sides
<em>Hence, the length of HG is 5mm</em>
