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4 years ago

15

The ground temperature at an airport is 15 °C. The temperature decreases by 5.8 °C for every increase of 1 kilometer above the g

round. What is the temperature outside a plane flying at an altitude of 5 kilometers?

1 answer:

Nadusha1986 [10]4 years ago

3 0

44 because if you use the equation y=mx+b you would plug in 5.8(5)+15 which equals 44

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What two numbers add to 9 and multiply to -70

Alborosie

X, y - the numbers

The numbers add to 9 and multiply to -70.
$x+y=9 \\
xy=-70 \\ \\
y=9-x \\
xy=-70 \\ \\
\hbox{substitute 9-x for y in the second equation:} \\
x(9-x)=-70 \\
9x-x^2=-70 \\
-x^2+9x+70=0 \\
-x^2+14x-5x+70=0 \\
-x(x-14)-5(x-14)=0 \\
(-x-5)(x-14)=0 \\
-x-5=0 \ \lor \ x-14=0 \\
x=-5 \ \lor \ x=14 \\ \\
y=9-x \\
y=9-(-5) \ \lor \ y=9-14 \\
y=14 \ \lor \ y=-5 \\ \\
(x,y)=(-5,14) \hbox{ or } (x,y)=(14,-5)$

The numbers are -5 and 14.

4 0

3 years ago

Need The answer to the question

lord [1]

Answer:

10(10)

Step-by-step explanation:

7 0

4 years ago

At a local fitness center, members pay a $10 membership fee and $5 for each aerobics class. Nonmembers pay $6 for each aerob

sveta [45]

One way to solve it is writing two equations based on the info so

y = 5x + 10 for members
y = 6x for nonmembers

(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)

and to find their intersection point (where the values will be the same), you just set them equal to each other:

5x + 10 = 6x

subtract 5x

x = 10 classes

7 0

3 years ago

Kamal invested $1200 in a savings acc paying 1.8% per yr compound interest.

Greeley [361]

Answer:

A = $1311 and 96cents

Step-by-step explanation:

$A = P(1 + \frac{r}{n})^{nt}$

P = $1200

r = 1.8% = 0.018

n = 1 (compounded yearly)

t = 5

$A = 1200(1 + 0.018)^5 = 1200 \times(1.018)^5 = 1311. 96$

7 0

3 years ago

22<br> g(x) =<br> *+<br> +7<br> What is the average rate of change of g over the interval —2, 4):

kobusy [5.1K]

Answer:

$Rate = 1$

Step-by-step explanation:

Given

$g(x) = x + 7$

Interval: (-2,4)

Required

Determine the average rate of change

This is calculated using:

$Rate = \frac{g(b) - g(a)}{b-a}$

Where:

$(a,b) = (-2,4)$

So, we have:

$Rate = \frac{g(4) - g(-2)}{4-(-2)}$

$Rate = \frac{g(4) - g(-2)}{4+2}$

$Rate = \frac{g(4) - g(-2)}{6}$

Calculate g(4) and g(-2)

$g(4) = 4 + 7 = 11$

$g(-2) = -2 + 7 = 5$

So:

$Rate = \frac{11 - 5}{6}$

$Rate = \frac{6}{6}$

$Rate = 1$

<em>Hence, the average rate of change is 1</em>

8 0

3 years ago