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Find the roots of the given quadratic equations by using the quadratic formula

1) x + 5/x = 3 ; (x>0)

2) 5y + 12 = -8/y ; (y>0)

3) 4 + 5/x^2 = 6/x ; (x>0)

Answer:

24

Step-by-step explanation:

subtract 48 from 36 and that equals 12 than add 12=24

Answer:

Rate is 2%

Step-by-step explanation:

Step one:

given data

Principal= $7500

Simple interest= $450

time=3 years.

Applying the simple interest formula which is

SI=PRT/100

Step two:

substitute we have

450=7500*R*3/100

cross multiply we have

45000=22500R

divide both sides by 22500

R=45000/22500

R=2%

Answer:

90%

Step-by-step explanation:

19.5 divided by 21.8 = 0.89449541 = 0.89% or 0.9%

Answer:

Solve

Let's solve your inequality step-by-step.

10x−14>7x−8

Step 1: Subtract 7x from both sides.

10x−14−7x>7x−8−7x

3x−14>−8

Step 2: Add 14 to both sides.

3x−14+14>−8+14

3x>6

Step 3: Divide both sides by 3

3x/3>6/3

x>2

Step-by-step explanation:

Do your answers correctly or figure it out on paper

Answer:

white

Step-by-step explanation:

Answer:

27 - 5n

Step-by-step explanation:

n times 5 (5n) - 27

Answer:

1. 115; obtuse

2. 130; obtuse

3. 50; acute

4. 108; obtuse

Step-by-step explanation:

m<1 = 115, corresponding

m<2 = 130, alternate exterior angles

m<4 = 50, alternate interior angles

m<1 = 108, supplementary

Answer:

[tex]2. \: x > 0 \\ 3. \: - 1 \leqslant x < 3 \\ 4. \: 0 > x > 2[/tex]

Answer:

15 meters in 1 second

Step-by-step explanation:

Divide 600 by 40 which is 15

so it travels 15 meters in 1 second

hope this helps!

Answer:15 meters per second

Step-by-step explanation:

600/40= 15

Answer: abd=50

Step-by-step explanation: bc angel 3 is 80 that means angel 2 is one hundred and abc is the same as angel tow because the two lines are so ABC is 100 and line segment BC is bisecting ABC so you divide ABC by two and get 50  

Answer:

Parallel lines have the same slope, while perpendicular lines have completely opposite slopes. So a line has a slope of 2, a parallel line would have a slope of 2, and a perpendicular line would have a slope of -1/2. The easiest form to identify the slope is standard form because it shows the slope within the equation with out having to solve the equation or convert it into another form.

Step-by-step explanation: First, we create a table using the equation provided: "y = -2/3x + 1". If x is 0, then y = 1. If x = 3, y = -1. Thus, we plot the points (0, 1) and (3, -1). Then, we draw a line through them.

Answer:

y = - 4x + 13

Step-by-step explanation:

In order to do this problem you would need a whole new equation, but you will use what is given to you:

instead of going with:

x - 4y = 20

Turn it into y = mx + b form, also known as slope-intercept form:

x - 4y = 20

-x       = -x

_________

- 4y = 20 - x

Then divide both sides by - 4:

[tex]\frac{-4y}{-4} = \frac{-x + 20}{-4}[/tex]

You will then get:

y = [tex]\frac{1}{4}x - 5[/tex]

From this equation we will only need the slope!

m || = [tex]\frac{1}{4}[/tex]

(This slope is for parallel)

but if you want perpendicular to the slope, then we need the negative reciprocal!

Negative reciprocal is a flipped version of the value that is negative, for example:

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

Because [tex]\frac{2}{1}[/tex] = 2

Now we will find the perpendicular slope which is:

m ⊥ = - 4

Now substitute this slope into slope intercept form:

y = mx + b

(-3) = -4(4) + b

(Take away parentheses)

-3 = -16 + b

(Move - 3 to the other side, by making it positive, but what you do to one side, you do to the other)

= -13 + 6

(Move - 13 to the other side, by make - 13 into +13)

+13 = +13

________

13 = b

(This is you b, also known as you intercept)

Your answer is:

y = -4x + 13

Answer:

The answer is 12 markers. 4 markers for $7. You multiply 7 x 3and you end up with 21

Step-by-step explanation:

Step-by-step explanation:

Reflecting across the x axis will result in a sign change for. the y component, therefore (-7,-9) becomes (-7,9)

Reflecting across the y axis will result in a sign change for the x component, therefore (-7,-9) becomes (7,-9)

Answer:

4

Step-by-step explanation:

Known:

Every week Hannah's office recyles 2 kilograms of paper

1 week = 2 kg of paper

To find a rate at which the office recyles paper divide the unit of measurement (kg) by a unit of time (weeks)

So:

2 kg/ 1 week = 2 kg of paper recycled per week

We want to know how many weeks it will take to recycle 8 kg.

Think of it this way.

if you divide kg by kg/week the kg cancel out and you get the unit week.

So divided 8 kg by the rate we discovered (2 kg/week) and you shall get the answer 4 weeks.

Answer:

7 time 11 is 77 so 77 divided by 11 is 7

Step-by-step explanation:

Answer:

It's -7

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

$46

Step-by-step explanation:

Answer:

u didnt put any context

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

Keywords:

Microscope, scale factor, enlargement, actual length, length to scale

For this case we have a microscope that shows an enlargement scale of objects, 140 times the actual size. Given the actual length of an insect, we want to know the scale length shown by the microscope. So, we have the following equation:

If the insect has a , then:

Thus, the microscope will show the insect with a size of 840mm

Answer:

The body length of the insect under the microscope is 840mm

Option D

Step-by-step explanation:

Answer:

(-16 , -4)

Step-by-step explanation:

you use rise over run

the rise is your y

the run is the x

[tex]\frac{y2-y1}{x2-x1}[/tex]⇒[tex]\frac{-3-1}{-24-(-8)}[/tex] =

[tex]\frac{-4}{-16}[/tex] or (-16, -4)

Answer:

5/6

Step-by-step explanation:

I used my graphing calculator, but you can use the equation y-y/x-x.

Answer:

x=30

y=52

verticle angles: AOC and DOB

Step-by-step explanation:

Answer:

-m is the constant

Step-by-step explanation:

Hope this helps and could you mark this brainliest