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3 years ago

Can someone help me with this task please? !!

Mathematics

1 answer:

Fudgin [204]3 years ago

7 0

Answer:

1. are you serious to ask ? it is written right there in the question itself. x=0, f(0)=y=6

2. the slope is 3

3. -4/3

4. $1.50 per book

5. -2

Step-by-step explanation:

1. the table itself says it for x=0. f(x) for x=0 is 6.

2. as explained do often already. the slope is the ratio of y/x showing how many units y changes, when x changes a unit or another surviving number of units.

the table shows when x increases by 1 unit, y increases by 3 units. so, the slow is 3/1 or simply 3.

3. again slope (see 2.).

going from M to N x increases by 4 units (from 1 to 5), and y decreases by 3 units (from 3 to 0).

so, the slope is y changes / x change = 4/-3 or simply -4/3

4. rate of change is

(f(a) - f(b)) / (a - b)

e.g.

(275 - 50) / (250 - 100) = 225 / 150 = 1.5

5. again very simple. which of the provided answer options appears in the f(x) column ?

the result of a function is the functional or y value calculated by the formula when responding the generic variable (like x) by the specified input value.

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3 years ago

Find the value(s) of x where the tangent to the graph of y=e^5x is parallel to the

Alik [6]

Answer:

There are none.

Step-by-step explanation:

No calculus involved:

The line, in slope-intercept form, has equation $y=-10x+17$ , ie is always decreasing (easy to spot applying the definition)

Meanwhile, $y=e^{5x}$ is always increasing over its domain.

At no point the tangent will be decreasing.

Let's use calculus

We are to solve the equation $y'(x) = -10 \rightarrow 5e^{5x} = -10 \rightarrow e^{5x}=-2$ which has no real solutions.

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3 years ago

Find the solution to the system of linear equations y = 5x + 4 and y = −3x + 12 using the intersection method. Check your answer

Umnica [9.8K]

Answer:

The solution to the system of linear equations is (1,9).

Step-by-step explanation:

The given system of linear equations

$y=5x+4$ ... (1)

$y=-3x+12$ .... (2)

Subtract equation (2) from equation (1) to eliminate y.

$y-y=(5x+4)-(-3x+12)$

$0=5x+4+3x-12$

On combining like terms, we get

$0=(5x+3x)+(4-12)$

$0=8x-8$

Add 8 on both sides.

$0+8=8x-8+8$

$8=8x$

Divide both sides by 8.

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The value of x is 1.

Substitute x=1 in equation (1).

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The value of y is 9.

Therefore the solution to the system of linear equations is (1,9).

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3 years ago

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jek_recluse [69]

The slope of a line perpendicular to another line has a slope which is the negative reciprocal of that line or:

m1 = -1/m2

First, we convert the given equation into slope-intercept form of a line: y = mx + b

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15y = -8x + 12

y = (-8/15) x + 0.8

m1 = -8 / 15

Therefore the slope of the perpendicular line is:

m2 = 15 / 8

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m = (y2 – y1) / (x2 – x1)

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3 years ago

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Hoochie [10]

Answer:

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Step-by-step explanation:

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as the given polynomial has three terms so it is trinomial.

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3 years ago