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2 years ago

Help me please will give brainliest

Mathematics

1 answer:

lawyer [7]2 years ago

7 0

Answer:

chupas trozon

Step-by-step explanation:

pastilla te entra mi trozon

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Write a formula for g(x) in terms of x.

liberstina [14]

The formula of g(x) is g(x) = -0.8x - 1.6

<h3>How to determine the formula of g(x)?</h3>

The equation is given as:

-4x - 6 = 5y + 2

Subtract 2 from both sides

5y = -4x - 8

Divide through by 5

y = -0.8x - 1.6

Express as a function

g(x) = -0.8x - 1.6

Hence, the formula of g(x) is g(x) = -0.8x - 1.6

Read more about linear functions at:

brainly.com/question/4025726

#SPJ1

3 0

1 year ago

Two boats depart from a port located at (–8, 1) in a coordinate system measured in kilometers and travel in a positive x-directi

miss Akunina [59]

Answer:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

Step-by-step explanation:

1st boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=1\\ \\b=-2a$

Equation:

$y=ax^2 -2ax+c$

The y-coordinate of the vertex:

$y_v=a\cdot 1^2-2a\cdot 1+c\Rightarrow a-2a+c=10\\ \\c-a=10$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-2a\cdot (-8)+c\\ \\80a+c=1$

Solve:

$c=10+a\\ \\80a+10+a=1\\ \\81a=-9\\ \\a=-\dfrac{1}{9}\\ \\b=-2a=\dfrac{2}{9}\\ \\c=10-\dfrac{1}{9}=\dfrac{89}{9}$

Parabola equation:

$y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}$

2nd boat:

Parabola equation:

$y=ax^2 +bx+c$

The x-coordinate of the vertex:

$x_v=-\dfrac{b}{2a}\Rightarrow -\dfrac{b}{2a}=0\\ \\b=0$

Equation:

$y=ax^2+c$

The y-coordinate of the vertex:

$y_v=a\cdot 0^2+c\Rightarrow c=-7$

Parabola passes through the point (-8,1), so

$1=a\cdot (-8)^2-7\\ \\64a-7=1$

Solve:

$a=-\dfrac{1}{8}\\ \\b=0\\ \\c=-7$

Parabola equation:

$y=\dfrac{1}{8}x^2 -7$

System of two equations:

$\left\{\begin{array}{l}y=-\dfrac{1}{9}x^2 +\dfrac{2}{9}x+\dfrac{89}{9}\\ \\y=\dfrac{1}{8}x^2 -7\end{array}\right.$

7 0

3 years ago

Read 2 more answers

-1.4 -1 and 1/25 -1.25 least to greatest

never [62]

-1.4, -1.25, 1/25 is the answer

4 0

3 years ago

In 2000, the population of Massachusetts

Zepler [3.9K]

Answer:

The population reaches 7 million people in the year 2032.

Step-by-step explanation:

We have that

$f(x) = 6.3*(1.0032)^{x}$

Using this model, find the year when the population reaches 7 million people.

This is x years after 2000, in which x is found when f(x) = 7. So

$f(x) = 6.3*(1.0032)^{x}$

$7 = 6.3*(1.0032)^{x}$

$(1.0032)^{x} = \frac{7}{6.3}$

$(1.0032)^{x} = 1.11$

We have to following logarithm rule

$\log{a^{x}} = x\log{a}$

So we apply log to both sides of the equality

$\log{(1.0032)^{x}} = \log{1.11}$

$x\log{1.0032} = \log{1.11}$

$x = \frac{\log{1.11}}{\log{1.0032}}$

$x = 32.66$

2000 + 32.66 = 2032

The population reaches 7 million people in the year 2032.

3 0

2 years ago

Number 4 i don’t know how to do this one

Kruka [31]

Answer:

r= 3 h = 6 then use 3^2 + 6^2 = l^2

Step-by-step explanation:

3 0

2 years ago

Help me please will give brainliest​

Help me please will give brainliest