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2 years ago

Figure 3 shows a sketch of part of the curve C with equation

Mathematics

1 answer:

vampirchik [111]2 years ago

8 0

Answer:

Step-by-step explanation:

because The curve C crosses the x-axis at the origin and at the points A and B => the x coordinates of A and B are the solution of the equation:

x(x + 4)(x - 2) = 0

<=> x = 0

x = -4

x = 2

because the x-coordinates of the points A and B aren't 0 and the x-coordinate

of A is a negative value

=> the x-coordinate of A is -4

the x-coordinate of B is 2

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Sherri saves nickels and dimes in a coin purse for her daughter. The total value of the coins in the purse is $0.95. The number

forsale [732]

I’m guessing that this is for systems of equations?
n - nickels
d - dimes

These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n

Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)

Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d

Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12

There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3

7 0

2 years ago

Read 2 more answers

What causes global convection current to form

hoa [83]

Answer:

Hope this helped :)

Step-by-step explanation:

Convection flows structure in light of the fact that a warmed liquid grows, getting less thick. The less-thick warmed liquid ascents from the warmth source. ... For example, a hot radiator warms the air promptly around it. The air ascends toward the roof, pulling cooler air down from the roof into the radiator to be warmed.

4 0

2 years ago

Rewrite 8 1/2 as an improper fraction

g100num [7]

Answer:

17/2

Step-by-step explanation:

8 × 2 = 16 adding 1 = 17

3 0

2 years ago

Solve for x: 2x + 13 = 8x - 41

kherson [118]

Answer:

9 is your answer for x.

Step-by-step explanation:

Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.

PEMDAS is the order of operations, & =

Parenthesis

Exponent (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 13 & 8x from both sides:

2x (-8x) + 13 (-13) = 8x (-8x) - 41 (-13)

2x - 8x = -41 - 13

Simplify. Combine like terms:

-6x = -54

Isolate the variable, x. Divide -6 from both sides:

(-6x)/-6 = (-54)/-6

x = (-54)/(-6)

x = 9

x = 9 is your answer.

8 0

2 years ago

Read 2 more answers

The function below shows the number of car owners f(t), in thousands, in a city in different years t: f(t) = 0.25t2 − 0.5t + 3.5

N76 [4]

We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be

m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.

At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)

The slope would then be

m = (9.5-3.5)/(6-2)
m = 1.5

Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.

5 0

2 years ago