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densk [106]
2 years ago
9

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

Mathematics
1 answer:
Andre45 [30]2 years ago
4 0

Answer:

17.5

Step-by-step explanation:

y=kx

35=140k

k= 35/140

k= 1/4

y=1/4X

when X=70

y= 1/4*70

y= 17.5

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The graph of y=x^3 is transformed as shown in the graph below. Which equation represents the transformed function?
omeli [17]

Answer:

y = (-x)^3 - 4

Step-by-step explanation:

Ok, for the function:

y = x^3

When x = 0, we have:

y = 0^3  = 0

So the original graph passes through the point (0, 0)

If we look at the given graph, we can see that the y-intercept (the value of y when x = 0) is:

y = -4

So, this is the graph of y = x^3 moved down 4 units.

You can also see that the graph goes downward as x increases (and up as x decreases) while for the function:

y = x^3

as x increases, we should see that y also increases.

Then we have a reflection across the x-axis.

Ok, now let's describe a vertical shift.

For a general function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

if N is positive, the shift is upwards

if N is negative, the shift is downwards.

And for a function f(x), a reflection across the x-axis is written as:

g(x) = - f(x)

Here we first apply the reflection across the x-axis, so we get:

g(x) = -f(x)

now we apply the shift 4 units downwards

g(x) = - f(x) - 4

replacing f(x) by our function, x^3

we get:

g(x) = -x^3 - 4

And because of the odd power, we can write:

-x^3 = (-x)^3

Then the function is:

g(x) = (-x)^3 - 4

The correct option is the last one.

y = (-x)^3 - 4

3 0
3 years ago
4. The area of a rhombus with one diagonal is 8.72 cm long is the same as the area of a square of side 15.6 cm. Find the length
Lubov Fominskaja [6]

Answer:

55.82 cm

Step-by-step explanation:

d1= 8.72 cm

a= 15.6 cm

A rhombus= 1/2*d1*d2 = A square

A square= 15.6²= 243.36 cm²

d2= 2A/d1= 2*243.36/8.72 ≈55.82 cm

4 0
3 years ago
Sherry is a waitress at a country club restaurant. She receives an automatic 15% tip which is added to the member's check for th
cricket20 [7]

Answer:

hii there

the correct answer is option ( D ) $143.50

hope it helps

have a nice day

7 0
2 years ago
In AABC, MZA = 16°, mZB = 49°, and<br> a = 4. Find c to the nearest tenth.
zhannawk [14.2K]

Answer:

  (c)  13.2

Step-by-step explanation:

The sum of angles in a triangle is 180°, so angle C is ...

  C = 180° -A -B

  C = 180° -16° -49° = 115°

The measure of side c can be found from the Law of Sines:

  c/sin(C) = a/sin(A)

  c = a·sin(C)/sin(A) = 4·sin(115°)/sin(16°)

  c ≈ 13.2

6 0
2 years ago
Help........Write an equation and solve:
Tom [10]

Answer:

5 months

Step-by-step explanation:

Equate the formulas for the weights of the two boys:

J's weight = 120 lb + (10 lb/mo)m  = D's weight = 150 lb + (4 lb/mo)m

Solve as follows:  Subtract 120 lb from both sides:

(10 lb/mo)m = 30 lb + (4 lb/mo)m.

Then:  (6 lb/mo)m = 30 lb, and m = (30 lb) / (6 lb/mo) = 5 months

3 0
3 years ago
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