All categories

2 years ago

THE NUBER OF PEOPLE CONTACTED

Mathematics

1 answer:

Elis [28]2 years ago

4 0

Answer:

option c, x = 3

Step-by-step explanation:

Given:

f(x) = 27

f(x) = $3^{x}$

Since both equal f(x) they must be equivalent as well,

$3^{x} = 27\\$

Apply exponent rule, 3 x 3 x 3 = 27

hence x = 3

You might be interested in

Prove algebraically that r = 10/2+2sinTheta is a parabola

Xelga [282]

Answer:

$y = - \frac{ 1 }{10} {x}^{2} + \frac{5}{2}$

Step-by-step explanation:

We want to prove algebraically that:

$r = \frac{10}{2 + 2 \sin \theta}$

is a parabola.

We use the relations

${r}^{2} = {x}^{2} + {y}^{2}$

and

$y = r \sin \theta$

Before we substitute, let us rewrite the equation to get:

$r(2 + 2 \sin \theta) = 10$

$r(1+ \sin \theta) = 5$

Expand :

$r+ r\sin \theta= 5$

We now substitute to get:

$\sqrt{ {x}^{2} + {y}^{2} } + y = 5$

This means that:

$\sqrt{ {x}^{2} + {y}^{2} }=5 - y$

Square:

${x}^{2} + {y}^{2} =(5 - y)^{2}$

Expand:

${x}^{2} + {y}^{2} =25 - 10y + {y}^{2}$

${x}^{2} =25 - 10y$

${x}^{2} - 25 = - 10y$

$y = - \frac{ {x}^{2} }{10} + \frac{5}{2}$

This is a parabola (0,2.5) and turns upside down.

4 0

3 years ago

Can someone please help meee

Mariana [72]

Answer:

Step-by-step explanation:

Ok so you are given the values of the slope-intercept form with m being the slope and b being the y-intercept. So since b is equal to -1 you want to plot a point at (0, -1) since that is the y-intercept (when x = 0). The next thing you want to do is look at the slope, which is essentially saying each time x increases by 5 the y-value decreases by 4 or in other words rise/run which is negative which is why you're going down. So from the point (0, -1) go forward 5 units and go down 4 units which should lead you to (5, -5) and the third point you can plot is by going backwards instead of forwards. So instead of every time x increases by 5 y decreases by 4 you're going to do the inverse. Every time x decreases by 5, y is going to increase by 4. So by doing this from the y-intercept (0, -1) you should go backwards 5 units and up 4 units which should lead you to (-5, 3). And then now just draw a line that goes through all those three points. Hope that helps :)

6 0

2 years ago

Two walls have the same area. The first wall is in the shape of a square and has a height

STatiana [176]

Answer:

27 feet

Step-by-step explanation:

Two walls have same area

Area of first wall(square) = 18*18 = 324

Area of second wall = 12 * x = 324

324/12 = 27

27 feet

7 0

3 years ago

Marlow types 90 words in 3 minutes. How many words does he type in 7 hours?<br>

Contact [7]

Answer:

if I am right it is 12,600 words

Step-by-step explanation: 90 divided by 3 which is 30 420x30=12,600

7 0

3 years ago

Can anyone answer this? I'll give brianliest I just really really need this

avanturin [10]

Answer:

yes 2=138 degrees

Step-by-step explanation:

Not hundo perecent sure, sorry if it's wrong, if you want me to show my work then please ask

4 0

3 years ago