Here i how I would do it:<span>f(x)=−<span>x2</span>+8x+15</span>
set f(x) = 0 to find the points at which the graph crosses the x-axis. So<span>−<span>x2</span>+8x+15=0</span>
multiply through by -1<span><span>x2</span>−8x−15=0</span>
<span>(x−4<span>)2</span>−31=0</span>
<span>x=4±<span>31<span>−−</span>√</span></span>
So these are the points at which the graph crosses the x-axis. To find the point where it crosses the y-axis, set x=0 in your original equation to get 15. Now because of the negative on the x^2, your graph will be an upside down parabola, going through<span>(0,15),(4−<span>31<span>−−</span>√</span>,0)and(4+<span>31<span>−−</span>√</span>,0)</span>
To find the coordinates of the maximum (it is maximum) of the graph, you take a look at the completed square method above. Since we multiplied through by -1, we need to multiply through by it again to get:<span>f(x)=31−(x−4<span>)2</span></span><span>
Now this is maximal when x=4, because x=4 causes -(x-4)^2 to vanish. So the coordinates of the maximum are (4,y). To find the y, simply substitute x=4 into the equation f(x) to give y = 31. So it agrees with the mighty Satellite: (4,31) is the vertex.</span>
Answer:
(8, 20)
Step-by-step explanation:
Let's input each values of the ordered pair given as options to see which one satisfy the equation y = 16 + 0.5x
==>Option 1: (0, 18)
18 = 16 + 0.5(0)
18 = 16 + 0
18 ≠ 0
Option 1 is incorrect.
==>Option 2: (5, 19.5)
19.5 = 16 + 0.5(5)
19.5 = 16 + 2.5
19.5 ≠ 18.5
Incorrect.
==>Option 3: (8, 20)
20 = 16 + 0.5(8)
20 = 16 + 4
20 = 20
CORRECT
==>Option 4: (10, 21.5)
21.5 = 16 + 0.5(10)
21.5 = 16 + 5
21.5 ≠ 21
Incorrect.
The answer is (8, 20)
Answer:
14.0% increase
Step-by-step explanation:
One formula you can use for this is ...
percent change = ((new value)/(old value) -1) × 100%
= (65/57 -1) × 100%
≈ 0.1403 × 100%
≈ 14.0% . . . . . . the positive sign indicates an increase
7.4 kg = 74hg = 740dag = 7400g = 74,000 dg = 740,000 cg = 7,400,000 mg
hectograms dekagrams grams decigrams centigrams milligrams
Now which equivalent were you looking for?
Answer:
Step-by-step explanation:
5*50 + 10y = 800
250+10y=800
10y=550
y=55
The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles. The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total? 60. The soccer team collected $800 at a car wash fundraiser. They charged $5.00 for small vehicles and $10.00 for larger vehicles.
The amount collected can be modeled by the equation 5x + 10y = 800, where x represents the number of small vehicles and y represents the number of larger vehicles. If the number of larger vehicles washed was 50, how many small vehicles were washed in total?
~~~~~~~~~~~~~~~~~~~~~~
5x + 10y = 800 and y = 50 ====>
5x + 10*50 = 800 ====> 5x + 500 = 800 ====> 5x = 800-500 = 300 ====> x = 300%2F5 = 60
