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Andrei [34K]
2 years ago
12

The sum of two consecutive odd integers is 144. Which expression may be used to solve the problem?

Mathematics
1 answer:
podryga [215]2 years ago
5 0

Answer:

smaller no.=x

larger=x+2

x+x+2-144

2x+2-144

2x=142

X=71

Smaller=71

Larger=71+2=73

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assume that mrs.giang's car travels 14 miles on each gallon of gas. if she travels to visit her niece who lives 133 miles away,
zalisa [80]

Answer:

9.5 gallons of gas

Step-by-step explanation:

Given that:

Each gallon gives 14 miles

Mrs giang wants to travel 133 miles

So

gallons she would need  = 133 / 14 miles

gallons she would need = 9.5 gallons

So Mrs.giang will need 9.5 gallons of gas to visit her niece.

i hope it will help you!

8 0
3 years ago
The graphs of the function f (given in blue) and g (given in red) are plotted above. Suppose that u(x)=f(x)g(x) and v(x)=f(x)/g(
Rus_ich [418]
U(x) = f(x).(gx)
v(x) = f(x) /  g(x)

Use chain rule to find u(x) and v(x).

u '(x) = f '(x) g(x) + f(x) g'(x)

v ' (x) = [f '(x) g(x) - f(x) g(x)] / [g(x)]^2

The functions given are piecewise.

You need to use the pieces that include the point x = 1.

You can calculate f '(x) and g '(x) at x =1, as the slopes of the lines that define each function.

And the slopes can be calculated graphycally as run / rise of each graph, around the given point.

f '(x) = slope of f (x); at x = 1, f '(1) = run / rise = 1/1 = 1

g '(x) = slope of g(x); at x = 1, g '(1) = run / rise = 1.5/ 1 = 1.5

You also need f (1) = 1 and g(1) = 2

Then:

u '(1) =  f '(1) g(1) + f(1) g'(1) = 1*2 + 1*1.5 = 2 + 1.5 = 3.5

v ' (x) = [f '(1) g(1) - f(1) g(1)] / [g(1)]^2 = [1*2 -  1*1.5] / (2)^2 = [2-1.5]/4 =

= 0.5/4 = 0.125

Answers:
u '(1) = 3.5
v '(1) = 0.125

 


 

3 0
3 years ago
jordan has 10 ties, 3 suits, 5 belts, 8 shirts, and 4 pairs of shoes that he chooses from daily. How many different outfits can
inysia [295]

Answer:

we can get 2 full outfits

<h2><em><u>HOPE</u></em><em><u> </u></em><em><u>IT</u></em><em><u> </u></em><em><u>HELPED</u></em><em><u> </u></em></h2>
6 0
3 years ago
HELP!!! answer quickly pls
Mumz [18]
Answer:

The first one B

Step by step explanation:

B is (2,4) then do 2+1 which is 3 and then 4 -3 which is 1 and your left with (3,1) which is point B
4 0
2 years ago
Please help me prove this theorem thing. I'll give yuh mind kisses &lt;3 have a good day luvlies
lesantik [10]

Answer:

∠ 1 = 20 x + 5

∠ 2 = 24 x - 1

If lines l and m are parallel:

∠ 1 + ∠ 2 = 180°

20 x + 5 + 24 x - 1 = 180

44 x + 4 = 180

44 x = 180 - 4

44 x = 176

x = 176 : 44

x = 4°

Your welcome again :)

Step-by-step explanation:

6 0
3 years ago
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