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lisabon 2012 [21]
3 years ago
14

-5(t + 3)= -30 Solve for the variable!! Please

Mathematics
1 answer:
kvv77 [185]3 years ago
4 0

Answer:

\huge\boxed{t=3}

Step-by-step explanation:

-5(t+3)=-30

<h3>METHOD 1:</h3>

-5(t+3)=-30    <em>divide both sides by (-5)</em>

<em />\dfrac{-5\!\!\!\!\diagup(t+3)}{-5\!\!\!\!\diagup}=\dfrac{-30}{-5}<em />

<em />t+3=6<em>       subtract 3 from both sides</em>

t+3-3=6-3\\t=3

<h3>METHOD 2:</h3>

-5(t+3)=-30       <em>use the distributive property </em><em>a(b + c) = ab + ac</em>

<em />(-5)(t)+(-5)(3)=-30<em />

<em />-5t-15=-30<em>     </em><em>add 15 to both sides</em>

<em />-5t-15+15=-30+15<em />

<em />-5t=-15<em>         divide both sides by (-5)</em>

\dfrac{-5t}{-5}=\dfrac{-15}{-5}\\\\t=3

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What is probability?

Probability is the branch of mathematics concerning numerical descriptions of how probably an event is to do, or how likely it's that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty.( note 1)( 1)( 2) The advanced the probability of an event, the more likely it's that the event will do. A simple illustration is the tossing of a fair( unprejudiced) coin. Since the coin is fair, the two issues(" heads" and" tails") are both inversely probable; the probability of" heads" equals the probability of" tails"; and since no other issues are possible, the probability of either" heads" or" tails" is1/2( which could also be written as0.5 or 50).

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7 0
2 years ago
Choose the equation below whose axis of symmetry is x = 2.
Svetlanka [38]
The answer is <span>y = x2 − 4
if you try to factor out all of the equations given to you (ex. 0=x2+4x+2), the only equation that can be factored out is </span><span>y = x2 − 4.
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y = x2 − 4
</span><span>0= x2 − 4
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3 0
4 years ago
i need to do this for extra credit because my low grade...someone please help me!! i’ll make you a brainliest:)
yawa3891 [41]

Answer:

A. 4+4

B. 2x4

C. a=2

D. a=5 b=7

8 0
3 years ago
Click to see equation, show work pls!
BlackZzzverrR [31]

Answer:

x = 6, 9

Step 1:

To solve this equation, we need to subtract 3 from both sides like this:

3\sqrt{x-5} +3(-3)=x(-3)\\3\sqrt{x-5} =x-3

Step 2:

We square both sides (multiply using FOIL) to get rid of the radical.

(3\sqrt{x-5} )^2 = (x-3)^2\\(3\sqrt{x-5} )^2: 9x-45\\ (x-3)^2: x^2+6x+9\\\\9x-45=x^2-6x+9

If you did not understand how these were done, here is an example:

(x + 1)(x + 2)

First terms: x * x = <u><em>x^2</em></u>

Outer terms: x * 2 = 2x

Inner terms: 1 * x = x

2x - x = <u><em>x</em></u>

Last terms: 1 * 2 =<em> </em><u><em>2</em></u>

x^2 + x + 2

Step 3:

Solve for x:

9x - 45 = x^2 - 6x + 9

x^2 - 6x + 9 (+45) = 9x - 45 (+45)

x^2 - 6x + 54 (-9x) = 9x (-9x)

x^2 - 15x + 54 = 0

Factor:

(x^2 - 6x) + (- 9x + 54)

x(x - 6)        - 9(x - 6)

Factor out (x - 6):

(x - 6)(x - 9) = 0

x - 6 = 0; 6 - 6 = 0

x - 9 = 0; 9 - 9 = 0

Our anwer: x = 6, 9

6 0
3 years ago
Read 2 more answers
How do i construct congruent segments using tools like a compass and straight edge?
alexandr402 [8]
That's pretty hard to show through a site like this. I recommend going to this site to learn how to construct: http://www.mathopenref.com/constorthocenter.html
 

6 0
3 years ago
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