Answer:
y=0.5x+4
Step-by-step explanation:
0.5x= y-4
add 4 on both sides
and then you get:
y=0.5x+4
Answer:
y = 0.5x + 4, or y = 1/2x + 4 (if you prefer fractions)
Step-by-step explanation:
y = mx + b (slope intercept form / standard form) ; m = 0.5 or 1/2, b = 4.
m = linear coefficient/slope(denoted by a in a 1 degree binomial)
b = constant coefficient / y-intercept (denoted by b in a 1 degree binomial)
to convert this equation into a standard form equation. You need to isolate y and leave the coefficients on the other side.
0.5x = y - 4
0.5x (+4) = y - 4 (+4)
0.5x + 4 = y
y = 0.5x + 4
substance left after 34 days, how much was there at the beginning of the 34 days?
Round to two decimal places.
Answer:
156.25 grams
Step-by-step explanation:
Well, for starters we know that the substance decays by 2% each day and its been decaying for 34 days. Therefore, the substance has decayed by 68%
34 x 2 = 68
Hence, 50 grams is 32% because the substance has already decayed by 68%
100 - 68 = 32
So now we know 50 grams is 32%. Now we need to find how much 100% is.
50 - 32%
X - 100%
We cross multiply.
50 x 100 = 5000
And divide.
5000 / 32 = 156.25
Thus, in the beginning, there were 156.25 grams in the substance.
Hope this helps! :)
Option C:
f(x) = 5x + 7 is the function of the input-output table.
Solution:
Option A: f(x) = 6x + 9
Input x = 1 in the above equation.
f(1) = 6(1) + 9
= 6 + 9
f(1) = 15
But the output is 12 in the table.
So, it is not the function of the table.
Option B: f(x) = 7x + 5
Input x = 1 in the above equation.
f(1) = 7(1) + 5
f(1) = 12
Input x = 5 in the above equation.
f(5) = 7(5) + 5
f(5) = 40
But the output is 32 in the table.
So, it is not the function of the table.
Option C: f(x) = 5x + 7
Input x = 1 in the above equation.
f(1) = 5(1) + 7
f(1) = 12
Input x = 5 in the above equation.
f(5) = 5(5) + 7
f(5) = 32
Input x = 10 in the above equation.
f(10) = 5(10) + 7
f(10) = 57
Input x = 5 in the above equation.
f(15) = 5(15) + 7
f(15) = 82
All outputs are correct for the given input.
Hence it is the function of the table.
Option D: f(x) = 12x + 1
Input x = 1 in the above equation.
f(1) = 12(1) + 1
f(1) = 12
Input x = 5 in the above equation.
f(5) = 12(5) + 1
f(5) = 61
But the output is 32 in the table.
So, it is not the function of the table.
Hence Option C is the correct answer.
f(x) = 5x + 7 is the function of the input-output table.
Answer:
Step-by-step explanation:
Given:
A. 56
B. 62
C. 248
D. 304
Answer:
Option A is correct that is x° = 56°
Step-by-step explanation:
Let Given Lines are tangents.
So we use a result which states that Tangents are perpendicular with radius at point of contacts.
⇒ ∠ B = ∠ D = 90°
Angle sum property of Quadrilateral = 360°
⇒ ∠A + ∠B + ∠O + ∠D = 360
x + 90 + 124 + 90 = 360
x + 304 = 360
x = 360 - 304
x = 56
Therefore, Option A is correct that is x° = 56°
She wrote an equation ahe needs to find the number of drinks she needs to sell to earn $100
1.25x+1.49=100