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3 years ago

23.5 in expanded form

Mathematics

1 answer:

Snowcat [4.5K]3 years ago

6 0

Answer:

23.5 = (2 x 10) + (3 x 1) + (5/10)

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Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

vovangra [49]

Answer: x≤ -0.5

Step-by-step explanation: Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x ≥ 2

x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

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3 years ago

What does f(3)= ? <br> Please help answer me

Zielflug [23.3K]

Answer:

Step-by-step explanation:

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3 years ago

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.

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3 years ago

the members of the band are selling raffle tickets.if their goal is to raise at least $950,the number of tickets they must sell

Diano4ka-milaya [45]

140 is the solution of the inequality

Step-by-step explanation:

The inequalities are used just like equations.

Given

Total amount to be raised = $950

Price of one ticket = $2.50

The inequality that represents the situation is:

2.50x≥950

Dividing both sides by 2.50

$\frac{2.50x}{2.50} \geq \frac{950}{2.50}\\x\geq 140$

140 is the solution of the inequality

Keywords: Inequality, cost

Learn more about inequalities at:

#LearnwithBrainly

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3 years ago

Use the remainder theorem to determine the remainder when 3t2 + 5t − 7 is divided by t − 5. A. 93 B. 43 C. 107 D. 57

Usimov [2.4K]

Using remainder theorem, we get:

$P(t) = 3t^{2} + 5t - 7$

Substitute t = 5 into the equation:
$P(5) = 3(5)^{2} + 5^{2} - 7$
$P(5) = 75 + 25 - 7 = 93$

Thus, we get a remainder of 93 or (A)

7 0

3 years ago

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