3 years ago

What is the reason for each step in the solution of an equation? 4x-1= -2 (x+1)

Mathematics

1 answer:

Ivanshal [37]3 years ago

4 0

to get the variable by itself

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lina2011 [118]

Answer:

3.14

Step-by-step explanation:

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2 years ago

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Each line represents a proportional relationship. Write an equation for each line. Show your work.

Semenov [28]

Answer:

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2 years ago

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When Arianna left her house,her cell phone was 45% charged started losing charge at a constant rate. 4 hours after leaving her h

4vir4ik [10]

Answer:

B = 3.75t

Step-by-step explanation:

Given;

initial charge of Arianna's phone = 45%

the charge remaining in Arianna battery = 15%

If after 4hours of leaving her house, the battery had 15% remaining battery life, then the battery is discharging at the rate of ( 15% / 4hours) 3.75% per hour.

Thus, the charge remaining in Arianna's battery after she left her house is given by;

B = 3.75t

where;

t is time in hours

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3 years ago

Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x

Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

$y=a(x-h)^2+k$

(where (h, k) is the vertex)

Given:

vertex = (1, -108)

$\implies y=a(x-1)^2-108$

Given:

y-intercept = (0, -105)

$\implies a(0-1)^2-108=-105$

$\implies a(-1)^2=-105+108$

$\implies a=3$

Therefore:

$\implies y=3(x-1)^2-108$

The x-intercepts are when y = 0

$\implies 3(x-1)^2-108=0$

$\implies 3(x-1)^2=108$

$\implies (x-1)^2=36$

$\implies x-1=\pm \sqrt{36}$

$\implies x=1\pm 6$

$\implies x=7, x=-5$

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0

2 years ago

What is another way to write -3+(4+7) ?

shutvik [7]

You could use -3 + 11

8 0

3 years ago