Answer:
C
Step-by-step explanation:
y=x is a line that has slope 1 meaning it go ups (increases) from left to right.
So that puts us at choice A or C.
Both A or C differ by the numerator for the other function.
We can find the x-intercept for A and C by setting the numerator equal to 0 and solving for x.
Let's do that:
A: -x-10=0 C. -x+10=0
-x=10 -x=-10
x=-10 x=10
A says x-intercept -10
C says x-intercept 10
Your graph intercepts the x-axis at 10 so the answer is C.
Answer:vertex (-2,-12) and the equation y
=
2
x
^2
+
8
x
−
4
Step-by-step explanation:
Answer:
a) ∅ ∈ {∅} TRUE
b) ∅ ∈ {∅,{∅}} TRUE
c) {∅} ∈ {∅} FALSE
d) {∅} ∈ {{∅}} TRUE
e) {∅} ⊂ {∅,{∅}} TRUE
f ) {{∅}} ⊂ {∅,{∅}} TRUE
g) {{∅}} ⊂ {{∅},{∅}}FALSE
Step-by-step explanation:
To assess whether these statements are true or false, first observe the symbol:
"∈" means that element, as it is and as it is, belongs to the set. To belong to the set it must be within the symbols "{}"
On the other hand, the symbol "⊂" means "subset", that is, it is a subset that is included in the main set.
So:
c) is false because "{∅}" is not included in the set
g) is false because " {{∅}}" is not included in the set
Answer: 2.45
Step-by-step explanation:
12.25/5 = 2.45
Answer:
Highest score is 21.5
Step-by-step explanation:
Let the highest score be h
Let the lowest score be l
Therefore
h = 3l - 4 (1)
and
h - l = 30 (2)
I. E.
h = 30 - l (3)
Substituting (3) in (1)
30 - l = 3l - 4
Collecting like terms
30 + 4 = 3l + l
34 = 4l
l = 34/4
l = 8.5
Then substitute l = 8.5 in (1)
h = 3l - 4
h = 3(8.5) - 4
h = 25.5 - 4
h = 21.5