<h3>
Answer: B. 4 units to the right, 5 units down</h3>
The vector notation <4, -5> is the same as writing 
which in my opinion is more descriptive in saying "4 units to the right, 5 units down"
We shift 4 units to the right because of the x+4. Whatever x is, add 4 to it getting x+4. So for instance x = 10 leads to x+4 = 10+4 = 14.
The y-5 is why we shift 5 units down. Eg: y = 37 leads to y-5 = 37-5 = 32.
Answer:
The given solution for the system is x = 5, y = -2 and z = -5
Step-by-step explanation:
Here, the given set of equations are:
2 x + 4 y +2 z = -8
5 y- 2 z = 0
4 z = -20
Now, simplifying each question one by one ,we get:
Simplifying third equation for the value of z:
4 z = -20 ⇒ z = -20 / 4 = - 5
or, z = -5
Simplifying second equation for the value of y:
Substitute the value of z = -5 in (2) , we get
5 y- 2 z = 0 ⇒ 5 y - 2(-5) = 0
or, 5 y + 10 = 0
or, 5 y = -10
or, y = -10/5 = -2
⇒ y = -2
Simplifying first equation for the value of x:
Substitute the value of z = -5 and y = -2 in (1) , we get
2 x + 4 y + 2 z = -8 ⇒ 2 x + 4 (-2) + 2 (-5) = -8
or, 2 x - 8 - 10 = -8
or, 2 x = 10
x = 10 / 2 = 5, or x = 5
Hence, the given solution for the system is x = 5, y = -2 and z = -5
Answer:
if x=-1 then its is NOT in the domain of h.
Step-by-step explanation:
Domain is the set of values for which the function is defined.
we are given the function
h(x) = x + 1 / x^2 + 2x + 1
h(x) = x+1 /x^2+x+x+1
h(x) = x+1/x(x+1)+1(x+1)
h(x) = x+1/(x+1)(x+1)
h(x) = x+1/(x+1)^2
So, the function h(x) is defined when x ≠ -1
Its is not defined when x=-1
So, if x=-1 then its is NOT in the domain of h.
Answer:
D. -7
Step-by-step explanation:
Sum of three times the square of a number and -7.
<u>If we call the number x, then the expression is:</u>
Here - 7 is constant, x is variable, 3 is coefficient
<u>Correct answer choice is:</u> D. -7
The decimal form of 3/8 is 0.375
