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3 years ago

Solve the equations

Mathematics

1 answer:

Minchanka [31]3 years ago

8 0

Answer:

#1 - All real numbers are solutions.

#2 - All real numbers are solutions.

Step-by-step explanation:

#1 -

Let's solve your equation step-by-step.

12(6t−4)=3t−2

Step 1: Simplify both sides of the equation.

12(6t−4)=3t−2

(12)(6t)+(12)(−4)=3t+−2(Distribute)

3t+−2=3t+−2

3t−2=3t−2

Step 2: Subtract 3t from both sides.

3t−2−3t=3t−2−3t

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

Same for #2

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ratelena [41]

9514 1404 393

Answer:

B) 37.947

Step-by-step explanation:

Using the given formula, we find ...

s = (12 +11 +7)/2 = 15

A = √(15(15 -12)(15 -11)(15 -7)) = √1440 = 12√10 ≈ 37.947 . . . square yards

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3 years ago

Given f(x) = x − 7 and g(x) = x2 . Find g(f(−1)).

ivann1987 [24]

Answer:

Step-by-step explanation:

$g(f(-1))$ can be found by first finding $f(-1)$ then taking that result and putting it into the function $g$ .

$f(-1)$ means we are going to take the expression $x-7$ and evaluate it for $x=-1$ :

$-1-7$

$-8$

So $f(-1)=-8$ .

So we have this so far:

$g(f(-1))=g(-8)=(-8)^2=64$ .

$g(-8)$ was found by replacing $x$ in $x^2$ with $-8$ .

8 0

3 years ago

-2 (2x + 11) = 5x + 14

amid [387]

Answer:

x=-4

Step-by-step explanation:

First, write the expression and distribute.

-2(2x+11)=5x+14

-4x-22=5x+14

Add one of the variables to the other side (it makes solving a lot easier). I'll add 4x to both sides because it won't result in a negative x.

-4x-22=5x+14

+4x +4x

-22=9x+14

Now, subtract 14 on both sides.

-22=9x+14

-14 -14

-36=9x

Divide both sides by 9.

-36=9x

/9 /9

-4=x or x=-4 (they both mean the same thing)

Have a wonderful day! I hope this helped :3

3 0

3 years ago

How

Mama L [17]

Answer:

a) 14.5 minutes longer

Step-by-step explanation:

Average time for New York = 40 minutes
Average time for United States = 25.5 minutes

The difference:

40 - 25.5 = 14.5 minutes

Correct choice:

a) 14.5 minutes longer

4 0

3 years ago

Read 2 more answers

gYou have a six-sided die that you roll once and ob- serve the number of dots facing upwards. What is the sample space

Aleonysh [2.5K]

Hey!

The sample space would be sides 1, 2, 3, 4, 5, and 6, or 1-6.

A sample space is a range of possible values.

Hope this helps! :D

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3 years ago