Answer:
y = -4x + 5
Step-by-step explanation:
Here, we want to get the equation of the line that passes through the given points
The general form is;
y = mx + b
where m is the slope and b is the y intercept
To find the slope, we use the slope formula
this is ;
m = (y2-y1)/(x2-x1)
(x1,y1) = (0,5)
(x2,y2) = (2,-3)
m = (-3-5)/(2-0) = -8/2 = -4
To get the y-intercept we simply substitute one of the points
But we know that the y-intercept is the y-value when x = 0
From the point we can see (0,5) which means that the y-intercept is 5
so the equation of the line is;
y = -4x + 5
Hey there!
Step By Step:
Well so we know that 12 is about half of an 25. So what we are gonna do is to buy 3 of 12$ and 2 of 25$.
3x12=36 and 2x25=50.
With adding those two last numbers, you’ll get $86.
Graph would be down below.
Hope it helps :D
Answer:
Teresa should build 7.5 inches model.
Step-by-step explanation:
Consider the provided information.
Teresa is building a scale model of the JP Morgan chase Tower in Houston.
Her scale model, 1.5 inches represents 61 meters.
The actual building is 305 meters tall,
First find how many 61's are there in 305.
For this divide 305 by 61.
Actual building is 5 times taller than 61. Thus the model should be 5 times taller than 1.5.
multiply 1.5 with 5 gives us:
Hence, Teresa should build 7.5 inches model.
Answer: $320 - $7.50p
Step-by-step explanation:
Based on the information given in the question, the expression that shows the amount that the florist earns if p people use a competitor for delivery, and the company makes $320.00 before any payment is made to their competitors will be:
= $320 - $7.50p
where,
$320 = revenue made before any payment
$7.50 = amount paid for a customer choosing a competitor
p = number of customers
a.
The polynomial w^2+18w+84 cannot be factored
The perfect square trinomial is w^2+18w + 81
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The reason the original can't be factored is that solving w^2+18w+84=0 leads to no real solutions. Use the quadratic formula to see this. The graph of y = x^2+18x+84 shows there are no x intercepts. A solution and an x intercept are basically the same. The x intercept visually represents the solution.
w^2+18w+81 factors to (w+9)^2 which is the same as (w+9)(w+9). We can note that w^2+18w+81 is in the form a^2+2ab+b^2 with a = w and b = 9
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b.
The polynomial y^2-10y+23 cannot be factored
The perfect square trinomial is y^2-10y + 25
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Using the quadratic formula, y^2-10y+23 = 0 has no rational solutions. The two irrational solutions mean that we can't factor over the rationals. Put another way, there are no two whole numbers such that they multiply to 23 and add to -10 at the same time.
If we want to complete the square for y^2-10y, we take half of the -10 to get -5, then square this to get 25. Therefore, y^2-10y+25 is a perfect square and it factors to (y-5)^2 or (y-5)(y-5)
