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3 years ago

Suppose s varies directly with t. When t27, s=3. What is s when t=632

Mathematics

2 answers:

jekas [21]3 years ago

8 0

Answer:

G 7

Step-by-step explanation:

If t= 27 when s=3 27/3=9

the t=63 when s= 7 63/7= 9

zvonat [6]3 years ago

4 0

Answer:

Step-by-step explanation:

Given that s varies directly with t then the equation relating them is

s = kt ← k is the constant of variation

To find k use the condition when t = 27, s = 3 , then

3 = 27k ( divide both sides by 27 )

$\frac{3}{27}$ = k, that is

k = $\frac{1}{9}$

s = $\frac{1}{9}$ t ← equation of variation

When t = 63, then

s = $\frac{1}{9}$ × 63 = 7 → G

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3 years ago

What is the point slope form of 5,35 and 6,42

Elanso [62]

Answer:

7/1

Step-by-step explanation:

Assuming the numbers given are points (5, 35) & (6, 42).

Remember to use the point-slope formula: (y₂ - y₁)/(x₂ - x₁) = slope

First, set the equation:

Note that this time: (5, 35) = (x₁ , y₁)

(6, 42) =(x₂ , y₂)

Set the equation: (y₂ - y₁)/(x₂ - x₁)

(42 - 35)/(6 - 5)

Simplify: (7)/(1)

7/1 = 7

slope form is 7/1

8 0

4 years ago

The graph below represents the function of f(x), and the table below represents the function g(x). which statement is true?

Igoryamba

Answer: OPTION D.

Step-by-step explanation:

You can observe in the graph that represents f(x) that this function intersects the x-axis at the point (1,0). Then:

$x=1\\y=0$

We know that a function intersects the x-axis when $y=0$ .

We can observe the table that represents the function g(x). When the value of "y" is 0 ( $g(x)=y=0$ ), the value of "x" is -1 ( $x=-1$ ). Therefore, the x-intercept of f(x) is greater that the x-intercept of g(x).

You can observe in the graph that represents f(x) that this function intersects the y-axis at the point (0,-1). Then:

$x=0\\y=-1$

We know that a function intersects the y-axis when $x=0$ . In the table that represents the function g(x), we can see that, when the value of "x" is 0 ( $x=0$ ), the value of "y" is 1 ( $g(x)=y=1$ ). Therefore, the y-intercept of g(x) is greater that the y-intercept of f(x).