hello please look in the comments​

Answer:

  x² -3/4x +1/4 = 0

Step-by-step explanation:

Consider the two equations in factored and expanded forms:

  (x -p²)(x -q²) = x² -(p²+q²)x +p²q² = 0   ⇒   p²+q² = 1, p²q² = 16

and

  (x -1/p)(x -1/q) = x² -(1/p+1/q)x +1/(pq) = 0

Consider the squares of the sum and product of roots:

  constant term: (1/(pq))² = 1/(p²q²) = 1/16   ⇒   1/(pq) = √(1/16) = 1/4

  x-term: (1/p +1/q)² = (p +q)²/(pq)² = (p² +q² +2pq)/(p²q²)

  = (p² +q²)/(p²q²) +2/(pq)

  = 1/16 +2/√16 = 9/16   ⇒   (1/p +1/q) = √(9/16) = 3/4

Then the equation with roots 1/p and 1/q is ...

  x² -3/4x +1/4 = 0

Answer:

D and E are true

Step-by-step explanation:

The degree of a polynomial is the value of the largest exponent of the variable within the polynomial, that is the term

6[tex]x^{4}[/tex]

Thus the polynomial is of degree 4 → D

The leading coefficient is the coefficient of the variable with the largest exponent, that is

6[tex]x^{4}[/tex]

The leading coefficient is 6 → E

Hi!

c < 10

This means that c is less than 10. Any number smaller than 10 works, such as 7, -4, 5.6.

c > 10

This means that c is greater than 10. Any number greater than 10 works, such as 12, 58, 10.9.

c < 20

This means that c is less than 20. Any number smaller than 20 works, such as 6, -2, 19.7.

c > 20

This means that c is greater than 20. Any number greater than 20 works, such as 21, 74, 20.5.

Hope this helps! Have a great day :D

Answer:

here are the answers

Step-by-step explanation:

Answer:

A. [tex]8cm^{3}[/tex] B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

Answer:

Step-by-step explanation:

2 x 2 x 2 = 8

the volume is 8 cm^3

8 x 12 x 10 = 960 cm^3

8 / 2 = 4

12 / 2 = 6

10 / 2 = 5

4 x 6 x 5 = 120

you can fit up to 120 cubes into the container

Answer:

[tex]y=3x+37[/tex]

Step-by-step explanation:

Determine slope:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{49-22}{4-(-5)}=\frac{27}{4+5}=\frac{27}{9}=3[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]49=3(4)+b[/tex]

[tex]49=12+b[/tex]

[tex]37=b[/tex]

Final equation:

[tex]y=3x+37[/tex]

Answer:

  (a) $14,912 saved

  (b) $58,000 aid needed

Step-by-step explanation:

Nola is saving $200 each month. That means she will have saved 60 times that amount after 60 months:

  60 × $200 = $12,000

When she adds that to her current savings she will have saved a total of ...

  $12,000 +2,912 = $14,912 . . . by the time she starts college

__

The figure is telling you Nola will need $72,912 for 4 years of college. If she funds $14,912 from her own savings, then she will need an additional amount of ...

  $72,912 -14,912 = $58,000 . . . . amount of financial aid needed

Answer:

read below for answers

Step-by-step explanation:

7. 4d + 6 =42

d = 9

8. -3y + 12 = -48

y = 20

9. k/2 + 9 = 30

k = 42

10. g/3 - 7 = 15

g = 66

11. z/5 + 3 = -35

z = -190

12. -9h - 15 = 93

h = -12

13. -3(n + 5) = 12

n = -9

14. -17 + b/8 = 13

b = -32

15. 7( c- 12 ) = -21

c = 9

16. -3 + p/7 = -5

p = -14

17. 46 = -6t - 8

t = -9

Answer:(-8,6) (-5,8

Step-by-step explanation:

Answer:

$30,2400

Step-by-step explanation:

First, we need to find how much interest he earns in a month

8.4% of $12,000 = $1,008

Next, we multiply the amount of interest per month by the number of months in 25 years

25 years = 300 months

Now we can multiply the two values to get our final answer

1,008 x 300 = $30,2400

Answer:

Line x-intersect: -6

y-intersect: 10

Step-by-step explanation:

X + y = 4

x = 4-y

2(4-y) + 3y = 18 (substitution)

8-2y+3y = 18

y = 18-8

y = 10

x + 10 = 4

x = -6

Answer:

Pretty sure she was best known for calculating flight paths of spacecraft.

Answer:

24:40:56

Step-by-step explanation:

3+5+7=15

120/15=8 1 Ratio is 8

3x8=24

5x8=40

7X8=56

i dont know if its the easiest method

Step-by-step explanation:

a)

well, it is kind of written already :

228 miles and 6 gallons.

so, miles/gallon = 228/6 = 38 miles/gallon.

b)

it is not mentioned, but I guess we have to assume that he got the same miles/gallon ratio on this trip as well.

so, again

38 miles/gallon

and he used 9 gallons.

so, he drove 38×9 = 342 miles

Answer:

Step-by-step explanation:

The weight of an object on Moon is 6 times smaller than same on Earth.

If it weights 18/5 kg on Earth then its weight  on Moon is:

Answer:

Solution given:

weight of moon=1/6 th of Earth

If weight of Earth is 18/5 kg

weight of moon=?

we have

weight of moon: 1/6 of weight of Earth

=1/6*18/5

=3/5kg

Its weight on moon is 3/5 kg

Answer:

-23.33 °C

Step-by-step explanation:

C = 5/9 (-10 - 32)

C = 5/9 (-42)

C = -23.3333 ≈ -23.33 °C

hope it helps :)

mark brainliest!

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Explanation:

The smallest data value is 13. This is due to the stem 1 and leaf 3.

The largest is 47. This is from the stem 4 and leaf 7.

The span between these items is 47-13 = 34

Answer:

x=3

Step-by-step explanation:

Answer:

UV=5, VW=5[tex]\sqrt{3}[/tex], and m∠U=60

Step-by-step explanation:

sin 30=UV/10=>0.5=UV/10=>UV=5

VW=√(10²-5²)=√75=5√3

m∠U=180-90-30=60

Answer:

374mm squared

Step-by-step explanation:

Bottom rectangle can be cut off to equal 52mm, by multipling 4 by 13

the rest is 14*23, which equals 322mm

add those together to get 374mm squared

Answer:

374 square millimeters

Step-by-step explanation:

First, we can split the shape into 2 rectangles.

This will give us a rectangle with a width of 13 and 10.

Let's work out 1 rectangle at a time.

Area of a rectangle=Width times by legth

13*18=234- This is the area of 1 of the rectangles.

10*14=140- This is the area of the second rectangle

Now we add the areas together to get 374 square millimeters, which is the area of this figure.

Answer:

I don't know

Step-by-step explanation:

Gloria will knit 1 scarf in 3 hours.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression for some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Gloria likes to knit scarves to give as gifts to her friends and family.

She can knit 1 over 4 of a scarf in 3 over 4 of an hour.

Simplifying,

She can knit 1/4 of a scarf in 3/4 of an hour.

To find the time:

1/4 of a scarf in 3/4 of an hour.

Multiply by 4,

4 x 1/4 of a scarf in 4 x 3/4 of an hour.

1 scarf in 3 hours.

Therefore, she will take 3 hours to knit 1 scarf.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ5

Answer:C

Step-by-step explanation:

I seraph it up

Latisha works x hours a day.

No. of hours Demetrius works = x+1 a day.

No. of working days a week = 5

No. of hours Demetrius works weekly =

= 5(x+1)

which can also be written as 5x+5

So the c option is correct.

Answer:

6.25

Step-by-step explanation:

I believe you were trying to put a fraction in but accidentally pressed the period.

25/4

6 1/4

6.25

Answer:

25 2/5

Step-by-step explanation:

Hope it's right and it helps.

Fractions are written as a ratio of two integers. The product of the fractions in its simplest form is 15/77

Fractions are written as a ratio of two integers

Give the expression

10/11 x 3/7 x 1/2

This can also be written as:

10/2 * 1/11 * 3/7

= 5/11 * 3/7

= 15/77

Hence the product of the fractions in its simplest form is 15/77

Learn more on fractions here: https://brainly.com/question/78672

#SPJ2

Answer:

P = 12 pi units + 24 units.

Step-by-step explanation:

All sides of an equilateral triangle are of the same length.  Here that length is 12 units.  We take a circle of diameter 12 units and cut it in half through its center.  Finally, we join the triangle (remembering that all of the side lengths are 12 units) to the half circle of diameter 12 units.

The half circle portion of the resulting shape has circumference 2(pi)(12 units) divided by 2, or 12 pi units.  This is half the formula C = 2(pi)(r).  The two non-attached sides of the triangle have a total length of 24 units.

Thus, the perimeter of the resulting figure is P = 12 pi units + 24 units.

Answer:

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