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3 years ago

The solution to the equation 2x^2+x-1=2

Mathematics

1 answer:

maxonik [38]3 years ago

5 0

Answer:

$x=-\frac{3}{2}, x=1$

Step-by-step explanation:

$2x^2+x-1=2$

Subtract 2 from both sides and factor:

$2x^2+x-1=2\\2x^2+x-3=0\\(2x+3)(x-1)=0$

Solve each factor individually:

$2x+3=0\\2x=-3\\x=-\frac{3}{2}$

$x-1=0\\x=1$

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A square piece of plastic has a perimeter of 8 cm. how long is each side of the piece of plastic?

Aleksandr-060686 [28]

Answer:

Step-by-step explanation:

Since it is a square, all four sides are equal and its perimeter is just

P=4s, so if P=8 then

4s=8, dividing each side by 4 we get

s=2

So each side of the plastic square is 2 centimeters.

8 0

3 years ago

Read 2 more answers

Please answer this for me. Thanks!

Vesna [10]

Answer: No

Step-by-step explanation:

Is 1/4 (8y -12) equivalent to 2y - 12? No. 1/4 (8y-12) equals out to 2y-3 not 2y-12. To solve the system of equations below, grace isolated the variable y in the first equation and then substituted into the second equation. what was the resulting equation? 3y=12x x^2/4+y^2/9=1

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2 years ago

A college job placement office collected data about students’ GPAs and the salaries they earned in their first jobs after gradua

frez [133]

Answer:

X is the GPA

Y is the Salary

Standard deviation of X is 0.4

Standard deviation of Y is 8500

E(X)=2.9

E(Y)=47200

We are given that The correlation between the two variables was r = 0.72

a) $y = a+bx$

$b = \frac{\sum(x_i-\bar{x})(y_i-\bar{y})}{\sum(x_i-\bar{x})^2} = \frac{r \times \sqrt{var(X) \times Var(Y)}}{Var(X)} = \frac{0.72 \times \sqrt{0.4^2 \times 8500^2}}{0.4^2} = 15300$

$a=y-bx = 47200-(15300 \times 29) = 2830$

So, slope = 15300

Intercept = 2830

So, equation : $y = 2830+15300x$

b) Your brother just graduated from that college with a GPA of 3.30. He tells you that based on this model the residual for his pay is -$1880. What salary is he earning?

$y = 2830+15300 \times 3.3 = 53320$

Observed salary = Residual + predicted = -1860+53320 = 51440

c)) What proportion of the variation in salaries is explained by variation in GPA?

The proportion of the variation in salaries is explained by variation in GPA = $r^2 = (0.72)^2 =0.5184$

8 0

3 years ago

(a) (x+3)(x+2) =<br><br><br> How do I solve this without the use of parentheses

Ierofanga [76]

Answer: x^2+5x+6

Step-by-step explanation:

5 0

3 years ago

100 POINTS ANSWER HURRY

choli [55]

X-3y=18
X always has a 1 in front of it so
1x-3y=18
-1x -1x You will have to get -3y by its self.
-3y=-1x + 18 when you move 1x over the = it turns into a -1x
/-3 /-3 /-3 divided everything by -3 to get y by its self
Y= 1/3 - 6 and that is you answer

4 0

3 years ago

Read 2 more answers