Which of the following is a solution of 4x2 = − 9x − 4?

Answers

Answer 1

Answer: get all on one side
add 9x+4 both sides
4x^2+9x+4=0
use quadratic formula
in form
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

a=4
b=9
c=4

x= $\frac{-9+/- \sqrt{9^(2)-4(4)(4)} }{2(4)}$
x= $(-9+/- √(81-64) )/(8)$
x= $(-9+/- √(17) )/(8)$
x= $(-9+ √(17) )/(8)$ or $(-9- √(17) )/(8)$

aprox
x=-1.64039 or -0.6096

Answer 2

Answer: 4 x 2 = − 9x − 4

Multiply 4 and 2. Add 4 to both sides.
8 + 4 = -9x

Divide both sides by -9.
(8 + 4)/-9 = x

Simplify
-12/9 = x

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The dot plot below shows the hourly rate of some babysitters:A number line is shown from 1 dollar to 7 dollars in increments of 1 dollar for each tick mark. The horizontal axis label is Dollars per Hour. There are 2 dots above 4 dollars, 3 dots above 5 dollars, 3 dots above 6 dollars, and 2 dots above 7 dollars. The title of the line plot is Babysitting Rates.

Based on the data shown, how many babysitters surveyed earned $5 or $6 per hour?

2
3
5
6

Answers

6 just add the 3 dots for both 5&6.......hope this help

Answer:

The answer is (6)

Step-by-step explanation:

All you do is add the dots for 5 and 6 together and them together gives you the answer.

Rose and Dennis each open a savings account at the same time. Rose invests $2,600 in an account yielding 4.1% simple interest, and Dennis invests $2200 in an account yielding 5.7% simple interest. After nine years, who has the greater total amount of money, and how much greater is it?

Answers

Simple interest is calculated by adding the principal amount with the product of the principal amount, interest rate and the the time or period.

Rose's money = P + PrtRose's money = 2600 + 2600(0.041)(9)Rose's money = $3559.4

Dennis' money = 2200 + 2200(0.057)(9)Dennis' money = $3328.6

Thus, Rose has the greater amount of money and is $230.4 greater than Dennis.

Answer:

Rose has greater total amount of money than Dennis by $230.8 .

Step-by-step explanation:

Formula

$Simple\ interest = (Principle* Rate* Time)/(100)$

Amount = Principle + Simple interest

As given

Rose and Dennis each open a savings account at the same time.

Rose invests $2,600 in an account yielding 4.1% simple interest for 9 years .

Put all the values in the formula

$Simple\ interest = (2600* 4.1* 9)/(100)$

$Simple\ interest = (95940)/(100)$

Simple interest = $959.4

Thus

Amount = $2600 + $959.4

Amount = $ 3559.4

Thus total amount in the Rose saving account is $3559.4 .

As given

Dennis invests $2200 in an account yielding 5.7% simple interest for 9 years .

Put all the values in the formula

$Simple\ interest = (2200* 5.7* 9)/(100)$

$Simple\ interest = (112860)/(100)$

Simple interest = $1128.6

Thus

Amount = 2200 + 1128.6

Amount = $ 3328.6

Thus total amount in the Dennis saving account is $ 3328.6 .

As clearly Rose has greater amount of money as compared to Dennis .

Greater amount Rose has = Amount in the Rose saving account - Amount in the Dennis saving account .

Put values in the above

Greater amount Rose has in saving account = $3559.4 - $3328.6

= $ 230.8

Therefore the Rose has greater total amount of money than Dennis by $230.8 .

I need help with a , b,c,d THANK YOU!! :)

Answers

-2x^2 + 1 for x = -3
-2(-3)^2 + 1 = -2(9) + 1 = -18 + 1 = -17

2^x for x = 3
2^3 = 2 x 2 x 2 = 8

4x - 4 for x = 3
4(3) - 4 = 12 - 4 = 8

What is 52/7 written as a mixed number?

Answers

52
--------- = 7 3\7
7

A PS4 uses 8.8 watts when on stand-by mode. How much electricity would be used if you have your PS4 on stand-by 21 hours a day for 2 weeks?

Answers

2 weeks = 14 days.
21 hours × 14 days = 294 hours total.

8.8 watts × 294 hours = 2587.2 Wh or 2.5872 kWh.

The general form of the equation of a circle is Ax2 By2 Cx Dy E = 0, where A = B 0. If the circle has a radius of 3 units and the center at (0, 4), which set of values of A, B, C, D, and E correspond to the circle?

Answers

The other form of circle equation is (x-a)2 + (y-b)2 = r2. a and b is the coordinate of the center and r is radius. So the equation is x2+(y-4)2=9. Change it to the general form is x2+y2-8y+7=0. So A=1, B=1, C=0, D=-8 and E=7.

Answer:

PLATO SAMPLE ANSWER:

If the center of the circle is to the right of the y-axis, C is negative and its absolute value increases as the center moves to the right. If the center is to the left of the y-axis, C is positive and its value decreases as the center moves to the right. D does not change when the center moves horizontally.

If the center of the circle is above the x-axis, D is negative and its absolute value increases as the center moves up. If the center is below the y-axis, D is positive and its value decreases as the center moves up. C does not change when the center moves vertically.

The values of C and D are not affected when the radius changes, as long as the center stays the same.

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