Answer:D) 50 units2
Step-by-step explanation:
Answer:
The constant rate of change is <em>2 rectangles</em>
Step-by-step explanation:
Looking at this question, we can see that what we have is in the form of an arithmetic progression otherwise known as A.P
An arithmetic progression refers to a series of numbers that differ by a constant addition or subtraction of a certain constant number. What this means is that subsequent terms are formed by the addition of a certain constant number to preceding terms.
Now, let's look at the situation in the question;
1, 3 , 5, ?, ?
Looking at the first three terms, we can see that the difference between the first two terms is 2, the difference between the third term and the second term is 2 also. This gives us an ideas of an arithmetic progression, with the first term being 1 and the common difference being 2.
The common difference is what is referred to as the constant term in this questions which is equal to 2
Answer:
Option A.
Step-by-step explanation:
step 1
we know that
The equation of the solid line is
![y=5](https://tex.z-dn.net/?f=y%3D5)
The solution is the shaded area above the solid line
so
The equation of the first inequality is
![y\geq 5](https://tex.z-dn.net/?f=y%5Cgeq%205)
step 2
The equation of the dashed line is
![y=x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Dx%5E%7B2%7D%20-5x%2B6)
The solution is the shaded area above the dashed line
so
The equation of the second inequality is
![y>x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Ex%5E%7B2%7D%20-5x%2B6)
therefore
The system of inequalities could be
![y\geq 5](https://tex.z-dn.net/?f=y%5Cgeq%205)
![y>x^{2} -5x+6](https://tex.z-dn.net/?f=y%3Ex%5E%7B2%7D%20-5x%2B6)
Answer:
![x=-2 or x=8](https://tex.z-dn.net/?f=x%3D-2%20or%20x%3D8)
Step-by-step explanation:
Let the number be 'x'
Given:
![x^2-16=6x](https://tex.z-dn.net/?f=x%5E2-16%3D6x)
Solving the quadratic equation:
![x^2-6x-16=0](https://tex.z-dn.net/?f=x%5E2-6x-16%3D0)
![x^2+2x-8x-16=0\\](https://tex.z-dn.net/?f=x%5E2%2B2x-8x-16%3D0%5C%5C)
![x^2+2x-8x-16=0\\x(x+2)-8(x+2)=0\\](https://tex.z-dn.net/?f=x%5E2%2B2x-8x-16%3D0%5C%5Cx%28x%2B2%29-8%28x%2B2%29%3D0%5C%5C)
![x(x+2)-8(x+2)=0\\\\(x+2)(x-8)=0\\](https://tex.z-dn.net/?f=x%28x%2B2%29-8%28x%2B2%29%3D0%5C%5C%5C%5C%28x%2B2%29%28x-8%29%3D0%5C%5C)
![(x+2)=0, (x-8)=0](https://tex.z-dn.net/?f=%28x%2B2%29%3D0%2C%20%28x-8%29%3D0)
![x=-2,x=8](https://tex.z-dn.net/?f=x%3D-2%2Cx%3D8)
The value of 'x' can be ![x=-2 or x=8](https://tex.z-dn.net/?f=x%3D-2%20or%20x%3D8)
Answer:
Step-by-step explanation:
a building is 35ft tall=35
the scuba diver was 35ft below sea level=-35
the basement is 7.6ft below ground=-7.6
oliver owes his sister $23=-23
erica jumped 2.3ft above ground=2.3