Then it would get bigger, thats what makes sense... are there answer choices?
Answer:
Vertex form: f(x) = -10(x − 2)^2 + 3
Standard form: y = -10x^2 + 40x - 37
Step-by-step explanation:
h and k are the vertex coordinates
Substitute them in the vertex form equation:
f(x) = a(x − 2)^2 + 3
Calculate "a" by replacing "f(x)" with -7 and "x" with 1:
-7 = a(1 − 2)^2 + 3
Simplify:
-7 = a(1 − 2)^2 + 3
-7 = a(-1)^2 + 3
-7 = a + 3
-10 = a
Replace a to get the final vertex form equation:
f(x) = -10(x − 2)^2 + 3
Convert to standard form:
y = -10(x − 2)^2 + 3
Expand using binomial theorem:
y = -10(x^2 − 4x + 4) + 3
Simplify:
y = -10x^2 + 40x - 40 + 3
y = -10x^2 + 40x - 37
Real numbers are all numbers found on the number line (positive, negative, fractions, square roots, whole numbers).
Rational numbers are fractions, or quotients, of two integers.
Irrational numbers are numbers with decimals that continue on (without repetition). They cannot be written as a fraction of two integers. Irrational number examples: √41, √97, √15
Natural numbers are whole, positive numbers.
Integers are whole, non-fraction numbers.
ANSWER: 1/8 is not a whole number, an integer or a natural number. It is a real and rational number (choice #1).
Hope this helps! :)
Answer:
graph B
Step-by-step explanation:
Given
3y - 5x < - 6
Since the inequality is < then the line must be broken
If ≤ then line would be solid
The only possible graphs are B and D
Choose a test point in the shaded region of each graph and check validity
graph B (2, 0) ← substitute into left side of inequality
0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid
graph D (0, 0 ) ← substitute into left side of inequality
0 - 0 = 0 > - 6 ← this is not valid
Hence graph B is the correct graph
Answer:
60 minutes
Step-by-step explanation:
The distance formula is:
D = RT
Where
D is distance (in miles)
R is rate (in miles per hour)
T is time (in minutes)
Given,
D = 14 miles
R = 14 miles per hour
We want to find T, so we have:
So the time is 1 hour
We want in minutes, and we know 60 minutes is 1 hour, so the time (in minutes) is 60 minutes
