Which expressions are equivalent to -2y-8+4y

50 POINTS AND WILL MARK BRAINLIEST NEED HELP ASAP

trasher [3.6K]

Answer:

Please see attached image and all steps below for both parts

Step-by-step explanation:

Task 1

The following system of equations includes a linear equation and a quadratic one:

$\left \{ {{y=x+2} \atop {y=x^2-8x+2}} \right} \}$

it can be solved by using substitution in the second equation of the variable "y" by the linear expression of the first equation:

$x+2=x^2-8x+2\\x=x^2-8x\\x^2-9x=0\\x\,(x-9)=0$

and this product of two factors will e zero when either factor is zero, that is: when x = 0, or when x = 9 [to make zero the binomial(x - 9)]

There are two solutions: x = 0 and x = 9.

When we graph both expressions in the system, we see that the line intercepts the parabola at the points (0, 2) and (9, 11). See attached image.

Task 2

Part 1:

Let's pick 30 as a number larger than 25. 30 can be written as 40 - 10

So we can use:

$(40 -10)^2=40^2-2\,(40)\,(10)+ 10^2=1600-800+100=900$

to calculate its square.

Part 2:

let's choose a=9 and b=10 so we use:

$9^3+10^3=(9 + 10)\,(9^2-(9)\,(10)+10^2)=(19)\,(81-(90)+100)=19\,(81-180+100)=19\,*\,91=1729$

8 0

2 years ago

1. m+ 10< 16

sleet_krkn [62]

Answer:

$1.\ m$

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

$m+ 10< 16\\ m+ 10-10< 16-10\\m$

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

$-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4$

3. Add 22 to both sides. Then:

$y-22< 19\\ y-22+22$

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

$-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b$

5. Subtract 30 from both sides. Then:

$h+30$

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

$-5x$

7. Subtract 13 from both sides. Then:

$t+13>22\\ t+13-13>22-13\\t>9$

8. Add 12 to both sides. Then:

$w-12< 16\\ w-12+12$

7 0

3 years ago

After reading The Lord of the Rings, Francesca signs up for archery lessons. At her first lesson, she sets up her target 5 feet

N76 [4]

Answer:

$3$ times

Step-by-step explanation:

$5x=15$

Divide both sides by 5

$x=3$

Hope this helps

6 0

3 years ago

Read 2 more answers

PLZ HELP

Alex

Answer:

The correct option is C ) 109.5°

Therefore,

$m\angle E=109.5\°$

Step-by-step explanation:

Given:

In Triangle DEF

d = 10

e = 18

f = 12

To Find

angle E = ?

Solution:

In Triangle DEF , Cosine Rule says

$\cos E=\dfrac{f^{2}+d^{2}-e^{2}}{2fd}$

Substituting the values we get

$\cos E=\dfrac{12^{2}+10^{2}-18^{2}}{2\times 12\times 10}$

$\cos E=\dfrac{-80}{240}=-\dfrac{1}{3}$

Therefore,

$\angle E=\cos^{-1}(-0.3333)$

$m\angle E=109.5\°$ ............As it is in Second Quadrant

Therefore,

$m\angle E=109.5\°$

4 0

3 years ago

An automotive technician has two job offers. Shop A would pay him a straight salary of $900 per week. Shop B would pay him $25 p

JulsSmile [24]

Given,

The salary for the technician from shop A is $900 per week.

The salary for the technician from shop B is $25 per hour.

The equation for the total pay for shop B is,

$\text{Total pay= salary of per hour}\times number\text{ of hour worked}$

Taking the total pay as 900. As, to make the shop A and shop B equal.

$\begin{gathered} 900=25\times Number\text{ of hour worked} \\ Number\text{ of hour worked}=\frac{900}{25}=36 \end{gathered}$

Hence, he would have to log 36 hours during a week at Shop B in order to match the salary at Shop A.

7 0

1 year ago