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lapo4ka [179]
3 years ago
10

What should be the first step in solving 13 y − 14 = 42?

Mathematics
1 answer:
AveGali [126]3 years ago
8 0

Answer:

The first step should be adding 14 to both sides of the equation.

Step-by-step explanation:

14 must be added on both sides of the equation to get 13y by itself. The ultimate goal is to get y by itself if we are solving for y.

Once 14 is added on both sides, you'll get:

13y = 56.

Then 13 would be divided from both sides.

y = 4.3

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Bethany,Lauren,Amanda,and David all meet at Family reunion. They are comparing their ages. They have found that Laura is 13 year
bazaltina [42]
The second system of equations, 

\left \{ {{y=\frac{x^2}{2}+\frac{13}{2}x} \atop {y=x^2-27x+129}}
is correct.

We know that Bethany's age is x.  Since Laura is 13 years older, her age is x+13.  The product of their ages is equal to twice Amanda's age, and Amanda's age is y.  This gives us:
x(x+13) = 2y

Using the distributive property, we have 
x²+13x=2y

Dividing everything by 2 (to isolate y), we have:
x²/2 + (13/2)x = y

If we take 20 years off of Bethany's age, it is now represented as x-20.  Taking 20 years off of Laura's age would be (x+13-20) or x-7.  The product of their ages now is equal to David's age; David is 11 years older than Amanda, so his age is y+11.  This gives us:

(x-20)(x-7)=y+11

Multiplying the binomials we have:"
x*x - 7*x - 20*x - 20(-7) = y+11
x²-7x-20x--140=y+11
x²-27x+140=y+11

To isolate y, subtract 11 from both sides:
x²-27x+140-11 = y+11-11
x²-27x+129 = y
7 0
3 years ago
Find the domains of the following expressions:<br> <img src="https://tex.z-dn.net/?f=%5Csqrt%7B3-2x%7D" id="TexFormula1" title="
myrzilka [38]

Step-by-step explanation:

conditional :

3-2x ≥ 0

-2x ≥-3

x ≤ 3/2

1-x ≥ 0

-x≥ -1

x ≤ 1

so, the domain is:

{ x | x € the Real numbers, x ≤ 1}

8 0
3 years ago
Slope- intercept equation from graph.
damaskus [11]

Answer:

y=mx+b

Step-by-step explanation:

y=1/2+-2

5 0
3 years ago
Help me solve this please
LuckyWell [14K]

9514 1404 393

Answer:

  shaded/square = (50π cm²)/(400 cm²) = π/8

Step-by-step explanation:

The quarter circle has area ...

  A = (1/4)(πr²) = π/4(20 cm)² = 100π cm²

The half-circle has area ...

  A = (1/2)(πr²) = π/2(10 cm)² = 50π cm²

Then the area of the shaded portion is ...

  shaded = 100π cm² -50π cm² = 50π cm²

__

The area of the square is ...

  A = s² = (20 cm)² = 400 cm²

Then the ratio of interest is ...

  shaded/square = (50π cm²)/(400 cm²) = π/8

5 0
4 years ago
A small town had a population of 960 people last year. The population increased to 1200 people this year. By what percentage did
Licemer1 [7]

Answer:

25%

Step-by-step explanation:

25% of 960 is 240. to find that we need to do...

0.25 x 960 = 240

add the percent increace to the 960.....

960 + 240 = 1,200

Hope this helped! Please mark as brainliest! Thanks!!

8 0
3 years ago
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