True or False: Only fractions with a denominator greater than the numerator can be converted to a decimal.

Answer:

[tex]x=\pm \sqrt{\frac{3}{10}}[/tex]

Step-by-step explanation:

[tex]-10x^2+12-9=0\\\\-10x^2+3=0\\\\-10x^2=-3\\\\x^2=\frac{-3}{-10}\\\\x^2=\frac{3}{10}\\\\[/tex]

here we have to cases

case 1

[tex]x=\sqrt{\frac{3}{10}}\\[/tex]

case 2

[tex]x=-\sqrt{\frac{3}{10}}[/tex]

Given:

Consider the given equation is

[tex]-10x^2+12x-9=0[/tex]

To find:

The roots of x in the given equation.

Solution:

We have,

[tex]-10x^2+12x-9=0[/tex]

On comparing this equation with [tex]ax^2+bx+c=0[/tex], we get

[tex]a=-10,b=12,c=-9[/tex]

Using quadratic formula, we get

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-(12)\pm \sqrt{(12)^2-4(-10)(-9)}}{2(-10)}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{144-360}}{-20}[/tex]

[tex]x=\dfrac{-12\pm \sqrt{-216}}{-20}[/tex]

We know that, [tex]\sqrt{-1}=i[/tex].

[tex]x=\dfrac{-12\pm 6\sqrt{6}i}{-20}[/tex]

[tex]x=\dfrac{-2(6\mp 3\sqrt{6}i)}{-20}[/tex]

[tex]x=\dfrac{6\mp 3\sqrt{6}i}{10}[/tex]

[tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex]

Therefore, the roots of the given equation are [tex]x=\dfrac{6+3\sqrt{6}i}{10}[/tex] and [tex]x=\dfrac{6-3\sqrt{6}i}{10}[/tex].

Answer:

Step-by-step explanation:

-2x^-1-7

Answer:

A=$12451.67474

Step-by-step explanation:

A=$12000{(1+3/100)^¼)}^4

A=$12451.67474

Answer:

5%

Step-by-step explanation:

I = PRT/100  where I = interest, P = initial deposit, R = the rate in %, T = number of years.

So substituting the given values:

6000 = 10000*R* 12/100

10000*12*R =  100*6000

R =  100*6000 / (10000 * 12)

R = 600000/120000

= 5%

Answer:

0.125

Step-by-step explanation:

2/16 = 1/8 = 0.125

Answer:

0.12 times 98

Step-by-step explanation:

100×0.12=12, which is 12% of 100

Answer:

0.12 times 98 dollars

Step-by-step explanation:

i took the test

Answer: 7

Step-by-step explanation:

Let the number chosen by Michael be x.

We are told that he multiplied it by itself, added 1. This would be:

= = ( x × x) + 1 = x² + 1

We are further told that he multiplied the result by 10, and added 3. This would be:

= = [(x² + 1) × 10] + 3

= 10x² + 10 + 3

= 10x² + 13

Lastly, he multiplied the result by 4 and his final answer was 2012. This would be:

(10x² + 13) × 4 = 2012

40x² + 52 = 2012

40x² = 2012 - 52

40x² = 1960

x² = 1960/40

x² = 49

x = ✓49

x = 7

The number is 7

can be expressed as:

= ( x × x) + 1 = x² + 1

Answer:

x = - 16

Step-by-step explanation:

Given

x + 7 = - 9 ( subtract 7 from both sides )

x = - 16

Answer:

James earns $2.20 less than twice Greg's hourly wage. If. James earns $16.50 per hour, what is Greg's hourly wage? let x= Grea's hourly wage. 2x-2.20-James' hourly wage. 2x-2.20=16.50. 2x=16.50+2.20. 2x= 18.70.

If James earns $2.20 less than twice gregs hourly wage.If james earns $16.50 per hour, then gregs hourly wage is  $9.35

Two or more expressions with an equal symbol operator is called equation.

Given that james earns $16.50 per hour,

and James earns $2.20 less than twice gregs hourly wage.

let x= Grea's hourly wage.

James earns $2.20 less than twice gregs hourly wage by data.

2x-2.20=James' hourly wage.

2x-2.20=16.50.

2x=16.50+2.20.

2x= 18.70.

Divide by 2 on both sides

x=9.35

Hence gregs hourly wage is $9.35.

To learn more on Equations click:

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Answer:

15.6 feet

Step-by-step explanation:

I have no time to explain

Answer:

$22.50

Step-by-step explanation:

Answer:

slope = 0

Step-by-step explanation:

A horizontal line parallel to the x- axis has a slope of zero.

Since the x- axis has a slope of zero, any line parallel to it will also have a slope of zero.

Answer:

The graph is increasing at -2 and 2 if im not wrong

Answer:

x=2

PR=7

Step-by-step explanation:

1) 6x - 5  = 9 - x

You can do this because RQ and PR are equal in length

2) 6x + x = 9 + 5

Combine like terms and solve for x

3) 7x = 14

   x=2

PR= 6x - 5

= 6(2) -5

= 7

Answer:

one and four fifths 1 4/5-

Step-by-step explanation:

i multipled 3/5 by 3 cause 20 times 3 is 60

Answer:

a: 3°

b: -4°

c: -3°

d: 3°

e: -4°,-3°,0°,3°,3°

f: 7

Answer:

The next sequence is

0,1,2,3

Step-by-step explanation:

Answer:

y = [tex]\frac{1}{2}[/tex] x + 4

Step-by-step explanation:

Assuming you require the equation of the line.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (8, 8) and (x₂, y₂ ) = (10, 9)

m = [tex]\frac{9-8}{10-8}[/tex] = [tex]\frac{1}{2}[/tex] , then

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (8, 8) , then

8 = 4 + c ⇒ c = 8 - 4 = 4

y = [tex]\frac{1}{2}[/tex] x + 4 ← equation of line

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

D as in Dawg y = 27x + 180

Step-by-step explanation:

Plug in 1 for the last option.

27(1) + 180 = 207

You will get 207 and the table has 200. So 207 is the closest answer to 200. All the other answers are not even close. Like 72 and etc

Answer:

D ( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Step-by-step explanation:

x^2 + 8

We want to factor so rewrite as squares

x^2 + (2sqrt(2))^2

Rewrite with a subtraction sign i^2 = -1

x^2 - (2*i*sqrt(2))^2

This is the difference of squares

a^2 - b^2 = ( a-b) (a+b)

( x -2i sqrt(2)) ( x+ 2i sqrt(2))

Answer:

Option D is the correct answer

Step-by-step explanation:

[tex](x + 2 \sqrt{2} i)(x - 2 \sqrt{2} i) \\ \\ = ( {x})^{2} - {(2 \sqrt{2}i )}^{2} \\ \\ = {x}^{2} - {2}^{2}. {( \sqrt{2} )}^{2} {i}^{2} \\ \\ = {x}^{2} - 4.2( - 1) \\( \because \: {i}^{2} = - 1) \\ \\ = {x}^{2} + 8[/tex]

Answer:

7 trees will be planted along one block.

Therefore, option D is the correct choice.

Step-by-step explanation:

The length of the block in boskyville = 390 feet

So subtract 20 feet from the length of the block in boskyville.

i.e  390 feet - 20 feet = 370 feet

Thus, divide the 370 feet by 50 feet would bring us the total number of trees being planted along one block

i.e.

Trees along one block = 370 / 50

                                      = 7 (Rounded to the whole number)

Thus, 7 trees will be planted along one block.

Therefore, option D is the correct choice.

Answer:

step g

Step-by-step explanation:

it axis is giong up more than other turtle which makes more sense.

Answer: 48

Step-by-step explanation:

-10x+6y=54 then + it to each other

-6x-6y=-6

-16x=48

Answer:  20

===========================================

Explanation:

The two negatives cancel to form a positive. A negative is just opposite. So we have two opposites canceling.

15 - (-5) = 15 + 5 = 20

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Here's another way to look at it:

Let's say we're on the 15th floor of a skyscraper. We can think of each floor of the skyscraper as part of a vertical number line (or ruler).

If we go up 5 floors, then we write 15+5 = 20 showing we end up on the 20th floor.

If we go down 5 floors, then we write 15-5 = 10

Adding makes us go up, subtracting makes us go down.

If we add on a positive number, then we go up, but adding on a negative number ultimately has us go downward.

This is because of something like 15 + (-5) = 15 - 5 = 10.

Subtracting a negative is really the same as adding. Subtracting pulls us down, but the negative counterbalances things to go the opposite direction (going up). So that's why 15-(-5) = 15+5 = 20.

--------------

Yet another way to look at it:

Negative values are useful in finance when talking about debt.

If you have 5 iou's of debt, then we write this as -5

If you transfer that debt to a friend whos account balance is $15, then their balance becomes 15 + (-5) = 10 dollars. They would have 10 dollars left after paying the debt.

Now let's say the friend got those iou's taken away and someone else paid for them. That would mean we would say 15 - (-5) = 15+5 = 20 is that first friend's new balance. Effectively they got 5 additional dollars when that debt was taken off their hands.

Answer:

C. The reciprocal

I hope this helps!

Answer:

C the reciprocal I used process of elimination honestly

Step-by-step explanation:

Hi

-7 - 2 + 6 = -9 + 6 = 6 - 9 = - 3

have a good day ;)

9514 1404 393

Answer:

  (b)  Congruent Figures

Step-by-step explanation:

Reflections, rotations, and translations are called "rigid transformations" because they do not change the size or shape of the figure. The image is always congruent to the original.

On the other hand, dilations change the size of the figure, so the image is not congruent with the original.

Rigid transformations result in congruent figures.

Answer:

When

eggs = 6, Potatoes = 15

Step-by-step explanation:

Ratio of egg to potatoes

Egg : potatoes

2 : 5

If she uses 6 eggs, how many potatoes will she need?

Eggs = 6

Potatoes = x

2 : 5 = 6 : x

2 / 5 = 6 / x

Cross product

2 * x = 5 * 6

2x = 30

x = 30 / 2

x = 15

When

eggs = 6, Potatoes = 15

Answer:

22º

Step-by-step explanation:

Answer:

3, 4, 5

Step-by-step explanation:

3 ^2 = 9

4 ^2 = 16

5 ^2 = 25

9 + 16 = 25