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3 years ago

13

Solve this equation using the most direct method: 3x(x + 6) = -10 Enter your solution in the exact, most simplified form. If the

re are two solutions, write the answer using the ± symbol. Describe and justify the methods you used to solve the quadratic equation.

1 answer:

Dvinal [7]3 years ago

7 0

The answer is X = -5.38

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recall the equation for a circle with center (h,k) and radius r At what point in the first quadrant does the line with equation

Angelina_Jolie [31]

9514 1404 393

Answer:

≈ (3.578, 5.789)

Step-by-step explanation:

We can substitute for y and solve for x.

(x -h)^2 +(y -k)^2 = r^2 . . . equation of a circle with center (h, k), radius r

x^2 +(y -4)^2 = 4^2 . . . . . . the equation of the given circle

x^2 +((0.5x +4) -4)^2 = 16

(5/4)x^2 = 16

x = 8/5√5 . . . . multiply by 4/5 and take the square root

y = 0.5x +4

y = 4/5√5 +4

The point of intersection is (8/5√5, 4+4/5√5), approximately (3.578, 5.789).

6 0

3 years ago

Dmitry_Shevchenko [17]

I’m sure the answer is, she can drive 562.5 miles.

Explanation:
.16 x 562.5 = 90

4 0

2 years ago

The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $20 each. If

alekssr [168]

Answer:

The inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

Step-by-step explanation:

Given: The ADMHS football team is trying to raise money to buy new equipment so the players are selling "Jaguar Cards" for $\$20$ each.

If the football team needs to raise at least $\$3,000$ for equipment.

To find: The inequality to represent the situation and the least number of "Jaguar Cards" the team must sell.

Solution:

Let the ADMHS football team sold $x$ "Jaguar Cards" for $\$20$ each.

Now, the football team needs to raise at least $\$3,000$ for equipment.

So, the inequality to represent the situation is $20x\geq 3000$ .

Now, on solving we get,

$20x\geq 3000$

$\implies x\geq \frac{300}{20}$

$\implies x\geq 15$

Hence, the inequality to represent the situation is $20x\geq 3000$ and the team must sell at least $15$ "Jaguar Cards".

4 0

3 years ago

In 1990, the population of a town was about 5,000 people. Each year for the next 10 years the population increased by about 500

kvasek [131]

The answer is.....D. 8,000.

6 0

3 years ago

Read 2 more answers

A small class has 10 students, 4 of whom are girls and 6 of whom are boys. The teacher is going to choose two of the students at

Vinil7 [7]

Answer:

1/3

Step-by-step explanation:

Dividing the amount of boys (6) by the amount of students (10), and then reiterating that, subtracting 1 from both, you get:
(6/10) x (5/9) which equals a third.

7 0

2 years ago