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2 years ago

What is the range of f(x) = 3/4x – 4?

Mathematics

1 answer:

Readme [11.4K]2 years ago

6 0

Answer:

(-∞, ∞).

Step-by-step explanation:

This function can have any real value.

Range = (-∞, ∞).

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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

2 years ago

How many fifths are there in 3⅗

Ilya [14]

Answer:

18/5

Step-by-step explanation:

5 1/5 = 1 thus 3 are 15 + 3 = 18/5

8 0

2 years ago

Read 2 more answers

F(x) = -3x – 2<br> g(x) = 2x + 5<br> Find (f*g)(5)

antiseptic1488 [7]

Answer:

hope it will help u in understanding

3 0

2 years ago

Rachel used 9 cups of flour and 4 teaspoons of sugar.

Firdavs [7]

Answer:

54 cups of flour

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Help <3 ;3

Tomtit [17]

Hello,

Rational numbers are numbers that can be represented by fractions that consist of integers.

In this case, B. -7/3 is already a fraction that consists of integers, so it is a rational number.
C. square 3 is = $3^{2}$ = 9, which can be represented by 9/1, so it is also a rational number.

A and D are incorrect as they cannot be represented by fractions that consist of integers.

The answers are B and C.

Hope this helps!

8 0

2 years ago

Read 2 more answers