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2 years ago

Determine the slope from the given graph below:

Mathematics

1 answer:

Greeley [361]2 years ago

8 0

Step-by-step explanation:

the slope is the ratio of "y coordinate difference / x coordinate difference".

so, let's find 2 good points (I mean by that with integer coordinates). I see e.g.

(-1, -1) and (0, -7)

x changes by +1 (from -1 to 0).

y changes by -6 (from -1 to -7).

so, the slope is -6/1 = -6.

D is the right answer.

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Explain the reasoning please

Svet_ta [14]

Step-by-step explanation:

Something to keep in mind is that anything greater than 0 is positive and anything less than 0 is negative

a is to the right of 0 and 1 making it a positive number

b is to the left of 0 making is a negative number

A. a is greater than 1 and b is a negative number

negative number * positive number = negative number

We already know that a is greater than 1 so ab has to be much less than -1 making ab+1 a negative expression

B. Looking at the number line, you can tell that the distance between 1 and a is a bit less than the distance between 0 and 1

This means that a= 1.x not 2

Because of this, a-2 is negative

C. -b

b is a negative number which means that -b would be positive

D. a+b

Looking at the number line, you can tell that the distance between 0 and a is less than the distance between 0 and b

Therefore, a+b is negative

E. a-b

Since b is already negative, the expression would simplify to two positive numbers being added

This means that a-b can't be negative

F. a-1

The number line shows us that a is greater than 1, therefore, a minus 1 would be positive

I hope this helps in some way or another

7 0

3 years ago

Read 2 more answers

a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will

slamgirl [31]

<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

4a² + 3 x 4 x a x h = 48

4a² + 12 a x h = 48

a² + 3 ah = 12

$h=\frac{12-a^2}{3a}$

So volume is

$V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}$

At maximum volume we have derivative is zero,

$dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2$

Negative side is not possible, hence side of square base is 2m.

Substituting in a² + 3 ah = 12

2² + 3 x 2 x h = 12

h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0

3 years ago

Arthur had one dollar he spent 75 cents of that dollar what fraction of his whole dollar did he spend

WINSTONCH [101]

He spent 3/4 of his dollar.

3 0

3 years ago

Read 2 more answers

Graph f(x) = 22 +1 and g(x) = -x +4 on the same graph

Virty [35]

Answer:

$-19 = x$

Step-by-step explanation:

22 + 1 = -x + 4

23 = -x + 4

- 4 - 4

________

19 = −x

$-19 = x$

I am joyous to assist you anytime.

7 0

3 years ago

Which functions have real zeros at 1 and 4? Check all that apply.

Sophie [7]

Answer:

B, D

Step-by-step explanation:

These are the correct answers.

6 0

3 years ago