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3 years ago

Plz help and show how you did the math question

Mathematics

1 answer:

Nikitich [7]3 years ago

8 0

Answer:

$x = - 3$

$y = - 2$

Step-by-step explanation:

Since y=x+1 plug it into bottom equation as y.

$x + 1= 5x + 13$

Subtract 1 from both sides

$x = 5x + 12$

Subtract 5x from both sides

$- 4x = 12$

Divide both sides by -4

$x = - 3$

Now x=-3 into the top equation to find y

$- 3 + 1 = - 2$

y=-2

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What does 9/5 + 14/12 equal

fenix001 [56]

Answer:

53/50

Step-by-step explanation:

9/15 + 14/12

Simplify.

9/15 + 7/6

Make denominators equal.

54/90 + 105/90

Add fractions since denominators are equal.

159/90

Simplify.

= 53/50

7 0

3 years ago

Which of the following expressions is a factor of the polynomial x 2 +3/2x-1

Elodia [21]

Answer:

$\large \boxed{\sf \ \ \ (x+2)(x-\dfrac{1}{2}) \ \ \ }$

Step-by-step explanation:

Hello,

let's solve

$x^2+\dfrac{3}{2}x-1=0\\\\ 2x^2+3x-2=0 \ \text{multiply by 2}\\\\\\$

$\Delta=b^2-4ac=9+4*2*2=9+16=25$

There are two solutions

$x_1=\dfrac{-3-\sqrt{25}}{4}\\\\x_1=\dfrac{-3-5}{4}\\\\x_1=\dfrac{-8}{4}\\\\\boxed{x_1=-2}$

And

$x_2=\dfrac{-3+\sqrt{25}}{4}\\\\x_2=\dfrac{-3+5}{4}\\\\x_2=\dfrac{2}{4}\\\\\boxed{x_2=\dfrac{1}{2}}$

So we can write

$x^2+\dfrac{3}{2}x-1\\\\=(x-x_1)(x-x_2)\\\\=(x+2)(x-\dfrac{1}{2})$

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

5 0

3 years ago

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.85 before the discount, and

erik [133]

Answer:

$80.22

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

What is 145 divided by 5

pashok25 [27]

145 divided by 5 is 29.

3 0

3 years ago

Read 2 more answers

On the moon, the height of a golf ball hit with an initial velocity of 96 ft/sec is given by the equation h= -2.7t^2+96t, where

nikdorinn [45]

So hmmm notice the picture below

"x" being how many seconds the object was going

and when y = 0, the object hits the ground, either on the moon or on earth

so, if we set y = 0 on each equation, we'll know when that happen, how long of a "x-value" or seconds it took

$\bf \begin{array}{llll}
\textit{on the moon}\\\\
h=-2.7t^2+96t\implies 0=t(96-2.7t)
\end{array} \quad 
\begin{cases}
0=t\\
-------\\
0=96-2.7t\\
2.7t=96\\
t=\frac{96}{2.7}\\
t\approx 35.\overline{55}
\end{cases}\\\\
-------------------------------\\\\
\begin{array}{llll}
\textit{on earth}\\\\
h=-16t^2+96t\implies 0=t(96-16t)
\end{array} \quad 
\begin{cases}
0=t\\
------\\
0=96-16t\\
16t=96\\
t=\frac{96}{16}\\
t=6
\end{cases}$

4 0

3 years ago