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2 years ago

What is the value of 4y+2y-8 if y=0.5

Mathematics

1 answer:

RUDIKE [14]2 years ago

8 0

Answer:

-5

Step-by-step explanation:

4x0.5=2

2x0.5=1

2+1=3

3-8=-5

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Which linear inequality is represented by the graph?

Vesnalui [34]

Answer:

Step-by-step explanation:

6 0

3 years ago

My guys got me I will give brainliest

8_murik_8 [283]

Answer:

58°

Step-by-step explanation:

A + B + C = 180 °

The smallest value of C is 91.

A + B = 89

A = 2B - 4

2B - 4 + B = 89

3B - 4 = 89

3B = 93

B = 31

A + 31 = 89

A = 58

3 0

2 years ago

Use the following graph to estimate the rate of change of the function at x=0.6 using the points (0,0) and (1,−0.5)

svetoff [14.1K]

Answer:

The rate of change of the function at x = 0.6 is approximately -0.72

Step-by-step explanation:

The given information from the graph are;

Points (0, 0) and (1, -0.5)

We have that the graph is that of a cubic function, therefore;

f(x) = ax³ + bx² + cx + d

At f'(x) at (0, 0) and (1, -0.5) = 0 gives;

3ax² + 2bx + c = 0

∴ c = 0

Also

ax³ + bx² + cx + d = 0

d = 0

We have

3a(1)² + 2b(1) + 0 = 0

3·a + 2·b = 0..............(1)

a(1)³ + b(1)² + c(1) + d = -0.5

a + b + 0×(1) + 0 = -0.5

a + b = -0.5..........(2)

Multiplying equation (2) by 2 and subtracting it from equation (1) gives;

2 × (a + b = -0.5) = 2·a + 2·b = -1

3·a + 2·b - (2·a + 2·b) = 0 - (-1) = 0 + 1 = 1

a = 1

From

a + b = -0.5, we have;

1 + b = -0.5 = 0

b = -0.5 - 1 = -1.5

The equation becomes

f(x) = x³ - 1.5·x²

The rate of change of the function at x = 0.6 is therefore given as follows;

f'(x) = 3 × x² - 2 × (1.5)·x = 3·x² - 3·x

At x = 0.6, we have;

f'(0.6) = 3·(0.6)² - 3·(0.6)

f'(0.6) = 3×0.6² - 3×0.6 = -0.72

The rate of change of the function at x = 0.6 ≈ -0.72

4 0

3 years ago

mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for

frez [133]

mark must leave it for 5.5 months or 5 and half moths to gain 5600 in interest .

Step-by-step explanation:

Here we have , mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8%. if he leaves the money in the accounts for the same length of time, We need to find how long must he leave it to gain 5600 in interest . Let's find out:

Let mark invests 8000 in an account that pays 12% interest and 2000 in one that pays 8% for time x months , So total interest gain is 5600 i.e.

⇒ $\frac{8000(12)}{100}(x) +\frac{2000(8)}{100}(x) =5600$