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4 years ago

Write an equation to describe the situation and then solve.

Mathematics

2 answers:

sammy [17]4 years ago

4 0

HE was planning to pay 30$ but it ended up as 60$ so in that case it´s 42$.

FrozenT [24]4 years ago

4 0

Simple...

you have: The gift costs $60

Simon hs $18-->>>

18+2x=60

18+2x=60
-18 -18

2x=42

x=21

Maurice originally planned to pay $21.

Thus, your answer.

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Help please 50 points!

uranmaximum [27]

Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

$\rm\displaystyle 5 - 2x = \sqrt{ {2x}^{2} + x - 1 } - x$

to do so isolate -x to the left hand side and change its sign:

$\rm\displaystyle 5 - 2x + x = \sqrt{ {2x}^{2} + x - 1 }$

simplify addition:

$\rm\displaystyle 5 - x = \sqrt{ {2x}^{2} + x - 1 }$

square both sides:

$\rm\displaystyle (5 - x {)}^{2} = (\sqrt{ {2x}^{2} + x - 1 } {)}^{2}$

simplify square of the right hand side:

$\rm\displaystyle (5 - x {)}^{2} = {2x}^{2} + x - 1$

use (a-b)²=a²-2ab+b² to expand the left hand side:

$\rm\displaystyle {x}^{2} - 10x + 25= {2x}^{2} + x - 1$

swap the equation:

$\rm\displaystyle {2x}^{2} + x - 1 = {x}^{2} - 10x + 25$

isolate the right hand side expression to the left hand side and change every sign:

$\rm\displaystyle {2x}^{2} + x - 1 - {x}^{2} + 10x - 25 = 0$

simplify:

$\rm\displaystyle {x}^{2} + 11x - 26= 0$

rewrite the middle term as 13x-2x:

$\rm\displaystyle {x}^{2} + 13x - 2x - 26= 0$

factor out x:

$\rm\displaystyle x({x}^{} + 13)- 2x - 26= 0$

factor out -2:

$\rm\displaystyle x({x}^{} + 13)- 2(x + 13)= 0$

group:

$\rm\displaystyle (x- 2)(x + 13)= 0$

by <em>Zero</em><em> </em><em>product</em><em> </em><em>property</em> we obtain:

$\displaystyle \begin{cases}x- 2 = 0\\ x + 13= 0 \end{cases}$

solve for x:

$\displaystyle \begin{cases}x = 2\\ x = - 13 \end{cases}$

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

$\rm\displaystyle 5 - x \geq0$

solve the inequality for x:

$\rm\displaystyle x \leqslant 5$

since 2 and -13 is less than 5 both solutions are valid for x hence,

$\displaystyle \begin{cases}x _{1} = 2\\ x_{2} = - 13 \end{cases}$

and we're done!

4 0

3 years ago

Read 2 more answers

A recent trend in advertising is viral marketing. The goal is to convince viewers to share an amusing advertisement by e-mail or

77julia77 [94]

I'm not sure what you are looking for but I'll answer this question based on what I think is needed.

Given:
Day 1: 130
Day 2: 130 x 4 = 520
Day 3: 520 x 4 = 2,080

The exponential equation of this problem is:
V(n) = 130(4)^n

Where n is the number of days since the video was first shown.

Let us assume that 10 days have past. Total view would be:

V(n) = 130(4)^n

V(10) = 130(4)^10
V(10) = 130(1,048,576)
V(10) = 136,314,880

After 10 days, there are more than 136 Million views of the viral video.

5 0

3 years ago

Lines 76-79 in Passage 2 ("The edifying . . .

SVETLANKA909090 [29]

According to the text it can be inferred that Passage 2 can be described as providing an explanation for the view of King's speech that is expressed by the author of Passage 1 (option B).

<h3>What explains the terms uplifting...durability?</h3>

According to the information provided in the fragment, edifying universality can be understood as a term that the king includes in his speech. In general, these terms can be explained by referring to the author's explanation in Passage 1.

<h3>What is the statement the author uses to explain the term?</h3>

The statement the author uses to explain the term the King includes in his speech is:

"The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."

According to the above, lines 76-79 are referring to how the author of Passage 1 explains the King's point of view in his speech.

Note: This question is incomplete. Here is the missing part:

"The edifying universality of those four words who hasn't dreamed, and who cannot identify with people whose dreams of a better world are punished with violence helps to explain their durability."

Learn more about point of view in: brainly.com/question/11983141

#SPJ1

3 0

1 year ago

Solve: 2 In 3 = In(x-4)

jeka57 [31]

Answer:

x = 13

Step-by-step explanation:

one of the rules of logarithm (for all bases, by the way, not just e for ln) is

$a \times ln(b) = ln( {b}^{a} )$

so, we have

ln(3²) = ln(x-4)

3² = x - 4

9 = x - 4

x = 13

5 0

3 years ago

Evaluate the geometric series:<br> -4 – 20 – 100 – 500..., n= 8

kykrilka [37]

Answer:

(n×5)

Step-by-step explanation:

Divide the second term by the first to find the ratio.

6 0

4 years ago