Write an equation and solve. Round to the nearest hundredth where necessary. What is 35% of 63?

Which of the following is the solution set to the equation -4(x+1)^2 -3=- 51

ANTONII [103]

Answer:

x is equal to 2.5 and -4.5

Step-by-step explanation:

-4(x + 1)² - 3 = -51

-4(x² + 2x + 1) - 3 = -51

-4x² - 8x -3 - 3 = -51

-4x² - 8x - 6 = -51

-4x² - 8x = -45

-4(x^2 + 2x) = -45

-4(x^2 + 2x + 1) = -49

-4(x + 1)² = -49

(x + 1)² = 49/4

x + 1 = ± √(49/4)

x + 1 = ± 7/2

x = -1 ± 3.5

x = 2.5, -4.5

6 0

3 years ago

What system of equations is shown on the graph below?

erma4kov [3.2K]

Answer:

The equation of the line passing through the points (-2,0) and (0,-4)

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1}$

$\frac{y - 0}{x - ( - 2)} = \frac{ - 4 - 0}{0 - ( - 2)} = \frac{ - 4}{2} = - 2$

$y = - 2(x + 2) \\ y = - 2x - 4$

$2x + y = - 4$

The equation of the line passing through the points (0,-2) and (4,0)

$\frac{y - y1}{x - x1} = \frac{y2 - y1}{x2 - x1} \:$

$\frac{y - ( - 2)}{x - 0} = \frac{0 - ( - 2)}{4 - 0}$

$\frac{y + 2}{x} = \frac{1}{2}$

$x - 2y = 4$

Option B

x minus 2 y = 4 and 2 x + y = negative 4

4 0

3 years ago

Read 2 more answers

Okay for real, does anyone know 10.8 x 9?

jek_recluse [69]

Answer:

97.2

Step-by-step explanation:

hi I m from India nice to meet you bro

4 0

3 years ago

Read 2 more answers

To see how costly it would be for other people to compete a similar cycling tour, you decide to work out two averages and compar

Damm [24]

Group A

Money spent by Person 1 = £500

Money spent by Person 2 = £600

Money spent by Person 3 = £900

Money spent by Person 4 = £450

Sum of money spent by group A = £2,450

Average money spent by group A = $\frac{2,450}{4}$

⇒ Average money spent by group A = £612.5

Group B

Money spent by Person 1 = £700

Money spent by Person 2 = £500

Money spent by Person 3 = £680

Money spent by Person 4 = £500

Sum of money spent by group B = £2,380

Average money spent by group B = $\frac{2,380}{4}$

⇒ Average money spent by group B = £595

Hence, Group B had lower average spend.

4 0

3 years ago

Two cards are drawn without replacement from a standard deck of 52 playing cards. What is the probability of choosing a king and

STALIN [3.7K]

Answer:

0.0181 probability of choosing a king and then, without replacement, a face card.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of choosing a king:

There are four kings on a standard deck of 52 cards, so:

$P(A) = \frac{4}{52} = \frac{1}{13}$

Probability of choosing a face card, considering the previous card was a king.

12 face cards out of 51. So

$P(B|A) = \frac{12}{51}$

What is the probability of choosing a king and then, without replacement, a face card?

$P(A \cap B) = P(A)P(B|A) = \frac{1}{13} \times \frac{12}{51} = \frac{1*12}{13*51} = 0.0181$

0.0181 probability of choosing a king and then, without replacement, a face card.

5 0

3 years ago