A simple rule to tell whether a graph is a function is to pretend to cut it vertically, if any cut intercept the graph twice, it is not a function. otherwise, it is.
In this case, the heart is not a function, because if you cut it up-down direction, your imaginary knife will touch the edge of the heart twice.
I hope this explanation helps.<span />
Answer:
50°
Step-by-step explanation:
all triangles = 180°
add 53 + 77 = 130
subtract 180 - 130 = 50
giving you your answer of 50°
The given polynomial is
f(x) = x³ + 6x² + 12x + 35
According to the Remainder Theorem, if x = a is a zero, then
f(a) = 0, and (x-a) is a factor.
Test (x-1):
f(1) = 1 + 6 +12 + 35 = 54
Not a factor.
Test (x-3):
f(3) = 3³ +6*3² + 12*3 + 35 = 152
Not a factor.
Test (x+3):
f(-3) = (-3)³ + 6*(-3)² + 12*(-3) + 35 = 26
Not a factor.
Test (x+5):
(-5)³ + 6*(-5)² + 12*(-5) + 35 = 0
It is a factor.
Answer: (x+5) is a factor.
Blaire has 20 tomato plants altogether.
Step-by-step explanation:
Given,
Tomatoes plants ready to pick = 18
This represents 90% of total tomato plants.
Let,
x be the original number of tomato plants.
90% of x = 18
Dividing both sides by 0.9
Blaire has 20 tomato plants altogether.
Keywords: percentage, division
Learn more about division at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
y ∝ x^2
Introducing the proportionality constant, we have
y = kx^2
Given : y= 18 when x = 3
substitute the given values in order to get the constant
i.e 18 = k x 3^2
18 = 9k
k = 2
therefore the formula connecting x and y
⇒ y = 2x^2
To find y if x is 4, just substitute x = 4 into the formula connecting x and y
i.e y = 2 x 4^2
= 2 x 16
= 32
