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3 years ago

Please Help!!! Determine the range of the following graph:

Mathematics

1 answer:

ELEN [110]3 years ago

5 0

Answer:

[-1, 6)

General Formulas and Concepts:

Algebra I

Reading a coordinate plane

Algebra II

Range is the set of y-values that are outputted by function f(x)
Interval Notation - [Brackets] denote inclusion and (Parenthesis) denote exclusion

Step-by-step explanation:

According to the graph, our y-values span from -1 to 6. Since -1 is a closed dot, it is inclusive. Since 6 is an open dot, it is exclusive:

Range would then be [-1, 6).

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Find the point P that is 2/5 of the way from A to B on the directed line segment AB

Kruka [31]

The point P(–4, 4) that is $\frac{2}{5}$ of the way from A to B on the directed line segment AB.

Solution:

The points of the line segment are A(–8, –2) and B(6, 19).

P is the point that bisect the line segment in $\frac{2}{5}$ .

So, m = 2 and n = 5.

$x_1=-8, y_1=-2, x_2=6, y_2=19$

By section formula:

$$P(x, y)=\left(\frac{mx_2+nx_1}{m+n}, \frac{my_2+ny_1}{m+n}\right)$

$$P(x, y)=\left(\frac{2\times 6+5\times (-8)}{2+5}, \frac{2\times 19+5\times (-2)}{2+5}\right)$

$$P(x, y)=\left(\frac{12-40}{7}, \frac{38-10}{7}\right)$

$$P(x, y)=\left(\frac{-28}{7}, \frac{28}{7}\right)$

P(x, y) = (–4, 4)

Hence the point P(–4, 4) that is $\frac{2}{5}$ of the way from A to B on the directed line segment AB.

4 0

3 years ago

One bag contains three white marbles and five black marbles, and a second bag contains four white marbles and six

sergeinik [125]

Hmm I think this is 1/2

Sorry if I'm wrong I'm not the best at math

8 0

3 years ago

I need help asap please

rjkz [21]

Answer:

$x = -\frac{3}{2}$ or $x = 1$

Step-by-step explanation:

Using the zero product property, first step is to set the given equation, $2x^2 + x - 1 = 2$ , to zero. Then factorise the left side.

Thus,

$2x^2 + x - 1 = 2$

Subtract 2 from both sides

$2x^2 + x - 1 - 2 = 2 - 2$

$2x^2 + x - 3 = 0$

Factorise the left side

$2x^2 + 3x - 2x - 3 = 0$

$x(2x + 3) - 1(2x + 3) = 0$

$(x - 1)(2x + 3) = 0$

Find the solution

$x - 1 = 0$

$2x + 3 = 0$

$x = 1$

$2x + 3 = 0$

$2x = -3$

$x = -\frac{3}{2}$

The answer is: $x = 1$ or $x = -\frac{3}{2}$

3 0

3 years ago

What is 7%tax of something that costs 2.99

KonstantinChe [14]

For this case we can make the following rule of three:
2.99 ----------> 100%
x --------------> 7%
From here, we clear the value of x.
We have then:
 $x = (7/100) * (2.99)
$
 Rewriting the expression we have:
 $x = (0.07) * (2.99)

x = 0.2093 $$ 
Answer:
The sales taxes are:
x = 0.2093 $

3 0

3 years ago

Read 2 more answers

Write the expression as a single natural logarithm.3In3+3Inc

k0ka [10]

Answer:

$ln(27c^3)$