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3 years ago

At which points do the two equations y = 5 + x and y = x2 - 7 intersect?

Mathematics

1 answer:

LiRa [457]3 years ago

8 0

Hello,

y=5+x
y=x²-7
==>x²-7=5+x
==>x²-x-12=0
==>(x-4)(x+3)=0
The points are:

(4,9) and (-3,2)

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For altitudes up to 36,000 feet, the relationship between ground temperature and atmospheric

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Answer:

The equation for a is $a=-\frac{2000}{7}*(t-g)$

The altitute is 101,428.57 feet

Step-by-step explanation:

You know that the relationship between ground temperature and atmospheric temperature can be described by the formula

t = -0.0035a +g

where:

t is the atmospheric temperature in degrees Fahrenheit
a is the altitude, in feet, at which the atmospheric temperature is measured
g is the ground temperature in degrees Fahrenheit.

Solving the equation for a:

-0.0035a +g=t

-0.0035a= t - g

$a=\frac{t-g}{-0.0035}$

$a=-\frac{2000}{7}*(t-g)$

The equation for a is $a=-\frac{2000}{7}*(t-g)$

If the atmospheric temperature is -305 °F and the ground temperature is 50 °F, then t= -305 °F and g= 50 °F

Replacing in the equation for a you get:

$a=-\frac{2000}{7}*(-305-50)$

$a=-\frac{2000}{7}*(-355)$

a= 101,428.57

The altitute is 101,428.57 feet

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