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3 years ago

4)

Mathematics

1 answer:

Rom4ik [11]3 years ago

8 0

You could use a ratio form for the first question

4) 8.5 : 34

29.75 : x x is the unknown

To find x, you must divide 29.75 by the length 8.5 to find the amount needed to be multipled by 34 grams, to find the total grams needed for the length of 29.75

29.75 / 8.5= 3.5 34 x 3.5 = <u>119 grams</u> , which is the answer to 4)

5) Same for this question, use the ratio form

1 1/3 : 3/4 5 / 0.75 ( 3/4) = 6.7

x : 5 miles 6.7 x 1 1/3 = <u>8.91 Miles jack ran</u>

6) ?? (Question not shown)

7) n = 0.6

8) 1 patient : 25 mins

n patients : 7.5 hours

25 mins to hours = 0.4

1 : 0.4

n : 7.5 7.5 /0.4 = 18.75 ----> <u>19 patients</u>

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Answer:

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

First of all to find the equation of the line we must first find the slope.

The slope of the line using points

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Now using one of the points and the slope we can find the equation of the line.

Equation of the line using point (0 , - 2) and slope - 1/4 is

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3 years ago

State the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

aleksandr82 [10.1K]

Answer:

Domain: $[-1,\infty)$

Range: $(-\infty, 3]$

Decreases over: $(-1,-\infty)$

Step-by-step explanation:

Given

$f(x) = -\sqrt{x + 1} + 3$ --- Missing from the question

Solving (a): The domain

To get the domain, the expression under the square root must not be negative.

In other words:

$x + 1 \ge 0$

Solve for x

$x + 1 -1\ge 0-1$

$x \ge -1$

Hence, the domain is:

$[-1,\infty)$

To get the range, we plot the values of the domain in the expression.

$x = -1$

$f(x) = -\sqrt{x + 1} + 3$

$f(-1) = -\sqrt{-1+1} +3$

$f(-1) = -\sqrt{0} +3$

$f(-1) = -0 +3$

$f(-1) = 3$

$x = \infty$

$f(\infty) = -\sqrt{\infty +1}+3$

$f(\infty) = -\sqrt{\infty}+3$

$f(\infty) = -\infty+3$

$f(\infty) = -\infty$

So, the range is: $(-\infty, 3]$

To get the interval where the function increases or not, we simply plot the graph of f(x).

See attachment for graph.

From the attachment, it will be observed that the graph of f(x) continuously decreases from x = -1, and it never increased.

This implies that, the graph decreases over the interval $(-1,-\infty)$

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3 years ago