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Elis [28]
2 years ago
12

Select the two values of x that are roots of the given polynomial below. x2 + 5x - 7

Mathematics
1 answer:
marin [14]2 years ago
4 0
You can solve this using ether the quadratic formula or by completing the square.
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Julio is paid 1.4 times his normal hourly rate for each hour he works over 30 hours in a week. Last week he worked 35 hours and
patriot [66]
N = regular rate
1.4n= overtime rate

30n + 5(1.4n) = $436.60  (30 hours x regular rate n)  plus 5 hours at 1.4 times reg rate.

30n + 7n = $436.60    now add like terms
37n = $436.60    now divide both sides by 37
n= $11.80   
Check to see if my answer is reasonable 30 x 12= 360  + 5 x 10 x 1.4 = about 70 (notice that I used 10 instead of 12 here so I could do it in my head)
360 + 70 = 430 - close enough - my answer is reasonable
Check:
(30 x $11.80) + 5 ( 1.4 x 11.80
354 + 5( 16.52)
354 + 82.60 = 436.60    ($436.60)
6 0
3 years ago
Read 2 more answers
An object is launched from a launching pad 208 ft. above the ground at a velocity of 192ft/sec. what is the maximum height reach
loris [4]

Answer:

The maximum height is 784 feet

Step-by-step explanation:

In this problem we use the kinematic equation of the height h of an object as a function of time

h(t) = -16t ^ 2 + v_0t + h_0

Where v_0 is the initial velocity and h_0 is the initial height.

We know that

v_0 = 192\ \frac{ft}{sec}

h_0 = 208\ ft.

Then the equation of the height is:

h(t) = -16t ^ 2 + 192t +208

For a quadratic function of the form ax ^ 2 + bx + c

where a

the maximum height of the function is at its vertex.

The vertice is

x = -\frac{b}{2a}\\\\y = f(\frac{-b}{2a})

In this case

a = -16\\b = 192\\c = 208

Then the vertice is:

t = -\frac{192}{2(-16)}\\\\t = 6\ sec

Now we calculate h (6)

h(6) = -16(6) ^ 2 +192(6) +208\\\\h(6) = 784\ feet

The maximum height is 784 feet

8 0
2 years ago
Distance and slope for (1,4) & (2,2)
sammy [17]

Answer:

Distance (rounded to the nearest hundredth): 2.23

Slope: -2

Step-by-step explanation:

4 0
2 years ago
Does anyone know how to do this? It’s mean, mode, and median type of stuff
olasank [31]
The answer is c mean = median
8 0
3 years ago
One reading an Antarctic research station showed that the temperature was -35 degrees Celsius what is this temperature in degree
Musya8 [376]
It is very simple it would be positive but would remain 35
4 0
3 years ago
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