Solve for n:<br><br> 4n-40=7(-2n+2)

schepotkina [342]

Answer:

f(1/3)=3 try that its probably right

4 0

2 years ago

Vanessa and zack are playing a game where a player with the lower score wins at the end of the game Vanessa has a score of -3 5/

Novosadov [1.4K]

Complete question :

Vanessa and Zack are playing a game where the player with the lower score wins. At the end of the game, Vanessa has a score of -3 5/8 and Zack has a score of -3 2/3. Which statement explains who won?

Vanessa won. If you compare the decimal equivalents of their scores, -3.625 < -3.666.

Vanessa won. If you compare the decimal equivalents of their scores, -3.666 < -3.625.

Zack won. If you compare the decimal equivalents of their scores, -3.625 < -3.666.

Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625

Answer: Zack won. If you compare the decimal equivalents of their scores, -3.666 < -3.625

Step-by-step explanation:

Given that :

Player with the lowest score wins ;

Vanessa's score = - 3 5/8

Zack's score = - 3 2/3

Converting to decimal:

Vanessa :

-3 5/8 = - 29 /8 = - 3.625

Zack:

-3 2/3 = - 11/3 = - 3.666

Comparing the scores :

From the negaryce side of a number line :

-3.666 comes before - 3.625, hence, - 3.666 is lower or lesser than - 3.625

-3.666 < - 3.625, hence Zack won

3 0

3 years ago

Need help with middle two questions... I’ll give points

nignag [31]

Answer:

ok sorry i could not put this into a formula im have to go but i will show you a really easy way.

Step-by-step explanation:

for number 1 i got (7,-1)

This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.

The correct way for doing number 1 is using the distance formula i believe but im running out of time

for the second one i got (3, -1/2)

we do this by using the midpoint formula.

The first picture is for number one and the second for number 2

if you have any questions feel free to ask in the comments

7 0

3 years ago

Factor the polynomial, x2 + 5x + 6

patriot [66]

Answer:

Choice b.

$x^{2} + 5\, x + 6 = (x + 3)\, (x + 2)$ .

Step-by-step explanation:

The highest power of the variable $x$ in this polynomial is $2$ . In other words, this polynomial is quadratic.

It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to $0$ .)

After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.

Apply the quadratic formula to find the two roots that would set this quadratic polynomial to $0$ . The discriminant of this polynomial is $(5^{2} - 4 \times 1 \times 6) = 1$ .

$\begin{aligned}x_{1} &= \frac{-5 + \sqrt{1}}{2\times 1} \\ &= \frac{-5 + 1}{2} \\ &= -2\end{aligned}$ .

Similarly:

$\begin{aligned}x_{2} &= \frac{-5 - \sqrt{1}}{2\times 1} \\ &= \frac{-5 - 1}{2} \\ &= -3\end{aligned}$ .

By the Factor Theorem, if $x = x_{0}$ is a root of a polynomial, then $(x - x_0)$ would be a factor of that polynomial. Note the minus sign between $x$ and $x_{0}$ .

The root $x = -2$ corresponds to the factor $(x - (-2))$ , which simplifies to $(x + 2)$ .
The root $x = -3$ corresponds to the factor $(x - (-3))$ , which simplifies to $(x + 3)$ .