Answer:
(3,-3)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor k, the resulting coordinate will be (kx, ky)
Given the coordinate (1, -1), if dilated by a factor of 3, the resulting coordinate will be (3(1), 3(-1)) = (3, -3)
Hence the required coordinate will be (3,-3)
Answer:
the answer is d
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
vertex- (5,0)
focus- (5,1/4)
axis of symmetry- x=5
directrix- y=-1/4
ps. can u mark me brainliest if i get this aswer right plz????
thank u!!!!
Given:
The table of values for the function f(x).
To find:
The values
and
.
Solution:
From the given table, it is clear that the function f(x) is defined as:

We know that if (a,b) is in the function f(x), then (b,a) must be in the function
. So, the inverse function is defined as:

And,

...(i)
Using (i), we get

Now,


Therefore, the required values are
and
.
2*1*1= 2 m^3 per chest
2 m^3 per chest* 18 chests= 36 m^3 total
Final answer: 36 m^3
The smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
What is the intermediate value theorem?
Intermediate value theorem is theorem about all possible y-value in between two known y-value.
x-intercepts
-x^2 + x + 2 = 0
x^2 - x - 2 = 0
(x + 1)(x - 2) = 0
x = -1, x = 2
y intercepts
f(0) = -x^2 + x + 2
f(0) = -0^2 + 0 + 2
f(0) = 2
(Graph attached)
From the graph we know the smallest positive integer value that the intermediate value theorem guarantees a zero exists between 0 and a is 3
For proof, the zero exists when x = 2 and f(3) = -4 < 0 and f(0) = 2 > 0.
<em>Your question is not complete, but most probably your full questions was</em>
<em>Given the polynomial f(x)=− x 2 +x+2 , what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 0 and a ?</em>
Thus, the smallest positive integer that the intermediate value theorem guarantees a zero exists between 0 and a is 3.
Learn more about intermediate value theorem here:
brainly.com/question/28048895
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