So, first you do 4x+54 is greater than or equal to 70 first you subtract 54 from both sides and get -16 and then you divide by 4 by both sides and get x=-4 I hope this helps :).
Let's say the item starts off at $100.
A 55% decrease means 100%-55% = 45% of the value is still there. The item is now worth 0.45*100 = 45 dollars.
Now increase this by 25%. The long way to do this is to add 25% of 45 onto 45
(25% of 45) + (45) = 0.25*45+45 = 11.25+45 = 56.25
Or, we can multiply 45 by 1.25 since the multiplier 1.25 represents a 25% increase
1.25*45 = 56.25
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The item was $100, it drops to $45 after the 55% decrease, then it is $56.25 after the 25% increase.
Let's compute the percent difference
A = 100 = old value
B = 56.25 = new value
C = percent difference
C = 100*(B-A)/A
C = 100*(56.25-100)/100
C = -43.75%
The negative C value indicates a percent decrease.
So combining a 55% decrease and a 25% increase leads to an overall decrease of 43.75%
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A shortcut is to multiply 0.45 and 1.25 to get 0.5625
Then subtract this from 1 to get 1-0.5625 = 0.4375
This is another way to see we have a 43.75% decrease.
I’m not so sure I fully understand the question. But I would say the rate is 1.
I say this because the line on your graph is a y=mx+b equation.
For every unit it moves over on the X axis it moves the same unit on the Y axis.
I hope this helps.
Answer:
p = 26
Step-by-step explanation:
(p+4)/6 = 5
Multiply each side by 6
(p+4)/6 *6 = 5*6
p+4 = 30
Subtract 4 from each side
p+4-4 = 30-4
p = 26
Answer:
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
Step-by-step explanation:
x : 0 2 4
f(x) : 1 4 7
The table x , f(x) represents a linear function
The linear function has the form y = mx + c
where m is the slope and c is y-intercept
m = (y₂-y₁)/(x₂-x₁) = (7-4)/(4-2) = 3/2 = 1.5
y-intercept is the value of y at which x = 0
From the table at x = 0 ⇒y= f(x) = 1 ⇒ c = 1
∴ f(x) = 1.5x + 1
And given g(x) = 2x + 1
We will Compare the y-intercepts and slopes of the linear functions f(x) and g(x)
y-intercept of f(x) = 1
y-intercept of g(x) = 1
The slope of f(x) = 1.5
The slope of g(x) = 2
So, y-intercept of f(x) = y-intercept of g(x) = 1
And The slope of g(x) is greater than The slope of f(x)
