What are real and distinct roots

Answer:

13.16

Step-by-step explanation:

Answer:

x = sqrt(17) - 1 or x = -1 - sqrt(17)

Step-by-step explanation:

Solve for x:

x^2 + 2 x + 1 = 17

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x + 1)^2 = 17

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x + 1 = sqrt(17) or x + 1 = -sqrt(17)

Hint: | Look at the first equation: Solve for x.

Subtract 1 from both sides:

x = sqrt(17) - 1 or x + 1 = -sqrt(17)

Hint: | Look at the second equation: Solve for x.

Subtract 1 from both sides:

Answer:  x = sqrt(17) - 1 or x = -1 - sqrt(17)

Answer:

x= 0.348 OR X= -1.148

Step-by-step explanation:

Given that:

2x^2+8+3x^2+4x-10

The first step is to rearrange the parameters given, by doing so, we have:

= 2x^2 +3x^2 +4x -10+8

= 5x^2 +4x - 2

The above equation forms the basis of a quadratic equation;

So using quadratic formula

= (-b +/- (√b^2-4ac))/2a

= (-4 +/- (√4^2 -4*5*(-2))/2*5

= -4 +/- (√ 16 - (-40))/10

=( -4 +/- √ 56 ) / 10

=( -4 +√ 56 ) / 10 OR =( -4 - √ 56 ) / 10

= (-4 + 7.48)/10 OR (-4 -7.48)/10

= 3.48/10 OR -11.48/10

= 0.348 OR. -1.148

SO, x= 0.348 OR X= -1.148

Answer:

is there a picture that goes with this?

Step-by-step explanation:

Answer: 108ft^2

Step-by-step explanation:

First, at the top we have two triangle rectangles.

The area of a triangle rectangle is equal to the product of their cathetus divided by two.

We know that one common cathetus for both triangles is 6ft.

And both share the bottom line that is 14ft long, so half of that corresponds to each triangle.

14ft/2 = 7ft

Then each triangle has a cathetus of 6ft and one of 7ft.

Then the area of each triangle rectangle at the top is:

6ft*7ft/2 = 21ft^2

And we have two of them, so the area for now is:

A1 = 21ft^2 + 21ft^2 = 42ft^2.

Now let's look at the bottom part, we can divide this into two triangle rectangles and one rectangle.

First, bottom side is 8ft, then the difference between this side and the 14ft one is:

14ft - 8ft = 6ft

(We calculate this because we are making a rectangle, then the bottom side length must be equal than the top one).

Then we have a surpass of 6ft, which we will divide into both triangle rectangles (3ft for each, this is one of the cathetus).

And we can see that the cathetus shown of this triangle rectangle is 6ft (this is also the other side of our rectangle)

Then we have two triangles with cathetus 6ft and 3 ft, the area is:

A = 6ft*3ft/2 = 9ft^2

And we have two of them, then A2 = 18ft^2.

And the rectangle is 8ft by 6ft, the area is:

A3 = 8ft*6ft = 48ft^2

Then if we add all the areas that we found, we have:

A1 + A2 + A3 = 42ft^2 + 18ft^2 + 48ft^2 = 108ft^2

Answer:

[tex]y-3=-2(x+2)[/tex]

Step-by-step explanation:

Point-slope form is [tex]y-y_1=m(x-x_1)[/tex]

m= slope, [tex]y_1=3, x_1=-2[/tex]

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

[tex]y-3=-2(x-(-2))[/tex]

[tex]y-3=-2(x+2)[/tex]

Answer:

the radius is 2.38

Step-by-step explanation:

use the formula c=2pi r

Answer:

15/2π

Step-by-step explanation:

If the circumference is 15 inches, we can create an equation using the following formula:

Circumference of circle = 2 x π x radius

which is C = 2πr

Now, substituting our value of the circumference (15) into the equation, we get:

15 = 2πr

In order to find r, the radius, we must divide both sides by 2π, which makes r the subject. This cancels out the 2π on the right side, leaving us with:

15/2π = r

So the radius is 15/2π.

Answer:

62.5%

Step-by-step explanation:

First, divide 5/8:

5/8 =0.625

Then, to make it a percentage, multiply it by 100:

0.625 x 100 = 62.5

Answer: 62.5 %

Answer- 50 feet

Step-by-step explanation:

1 times 6 equals 6

n times 6 equals 300

solve for n

Answer: he will have $11.60 left

Answer:

X=960

Step-by-step explanation:

x=0.6X +384

x-0.6X =384

0.4x=384

divide through by 0.4

X=960

Answer:

5000

Step-by-step explanation:

Given the following :

Constructed expression used to express size of debt after m, months :

36,700 - (5000 + 500m)

Since it was stated that he his whole signing bonus was dedicated towards paying his debt, then this will be a constant figure or digit.

Then a fixed amount from his monthly pay is also dedicated towards offsetting the loan:

Thus the fixed amount will be the Coefficient of m, where m is the number of months.

Thus total amount paid after m months can be deduced from the expression to be :

(5000 + 500m); where

5000 constant fee is the signing bonus.

Answer:

5000

Step-by-step explanation:

Answer:

y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{4}{3}[/tex] and (a, b) = (9, - 2) , thus

y - (- 2) = [tex]\frac{4}{3}[/tex] (x - 9) , that is

y + 2 = [tex]\frac{4}{3}[/tex] (x - 9)

Answer:

y+2 =  4/3( x-9)

Step-by-step explanation:

Point slope form is

y-y1 = m(x-x1) where m is the slope and (x1,y1) is the point on the line

y - -2 = 4/3( x-9)

y+2 =  4/3( x-9)

Answer:

311.5

Step-by-step explanation:

154 + 45(3) =289

45 / 2 = 22.5

289 + 22.5 = 311.5

Answer:

108/5

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

because -21.6 rounded to the next whole number is rounded to -22 because of the 6 in the number, which is larger than 5 so it passes to the next highest number.

Answer:

Domain: - 4

Range: 0

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

Answer:

Ok, here we have two points A and B.

The shorter object will be the second option, AB with a line on top, this is a segment, so the length of this object is equal to the distance between A and B.

The next one is AB with an arrow pointing to the right, this is ray, is a line that starts in A and passes through B, and continues infinitely.

The third will be the bottom option, AB with a double-arrow on top, this is the notation for a line that passes through A and B, and it extends to infinity in both directions.

Answer:

[tex]1 \leq\ w\leq\ 1000[/tex]

Step-by-step explanation:

Given

Charges: $5 for 1 kg

Charges: $2000 for 1000 kg

w represents kilograms

P(w) represents Price

Required

What's the domain of P

Start by representing P as a function of w

When

[tex]w = 1\ kg[/tex]

[tex]P(1) = \$5[/tex]

[tex]w = 1000\ kg[/tex]

[tex]P(1000) = \$2000[/tex]

The domain of P are the values of w and is represented as follows;

[tex]1 \leq\ w\leq\ 1000[/tex]

Hence;

Option A answers the question

The number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

Since Aiden charges $ 5 for 1 kilogram of cumin seeds, which is the smallest amount he sells. and the largest amount of cumin seeds Aiden can sell is 1000 kilograms, which cost $2000.

Since P(w) models the price in dollars of w kilograms of cumin seeds in Aiden's shop.

We see that P(1) = $ 5 and P(1000) = $ 2000.

So, $ 5 ≤ P(w) ≤ $ 2000 which is the range and the domain is

1 ≤ w ≤ 1000

And since w is a continuous variable, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

So, the number type most appropriate for the domain of p is real numbers and the domain of p is A. 1 ≤ w ≤ 1000

Learn more about domain of a function here:

https://brainly.com/question/16485117

Answer:

C= 1.37(s)+3.36(r)+2.46(p)

Step-by-step explanation:

Answer:

38 inches

Step-by-step explanation:

since we are finding the diagonal we are going to use the equation a^2+b^2=c^2

so if we do substitution we would have 32^2+20^2=C^2

32^2= 1024

20^2= 400

so,

1024 + 400 = C^2

1424 = C^2

to get rid of the C^2 we have to take the square root of it. But whatever we do on one side of the equation we have to do on the other side so,

C = sqrt(1424)

C = 37.73

C = 38 inches

Answer:

24/68 inches

Step-by-step explanation:

Multiply 3 times 8 to get 24. The denominator was multiplied by 8 so you have to do the same thing to the numerator.

Hope This Helps :)

The equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.

The given quantity is [tex]\frac{3}{8}[/tex] inch.

Equivalent fractions are two or more fractions that are all equal even though they different numerators and denominators.

Here, in equivalent given fraction denominator is 64.

Let the numerator be x.

Now, [tex]\frac{3}{8}[/tex] inch = [tex]\frac{x}{64}[/tex] inch

3×64=x×8

x=3×8

x=24

So, the numerator of the fraction is 24.

Hence, the equivalent of the quantity [tex]\frac{3}{8}[/tex] inch is [tex]\frac{24}{64}[/tex] inch.

Learn more about the equivalent fractions here:

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Answer:

groottttt

Step-by-step explanation:

groottt

Answer:

x€(4, -1.5)

Hope this answer is helpful...

Make me as brainliest...

Answer:

12.10on zas

Step-by-step explanation:

Esun as uma

Answer:

-4

Step-by-step explanation:

=> -|-12+20-5-7|

=> -|-4|

=> -4

Answer:

In total they brought 111 cans

Step-by-step explanation:

17*6=102

102+9=111

Maria:

No. of cans in a pack = 6

No.of cans in 17 pack = 6 * 17 = 102 cans

No. of cans bought by Heather = 9 cans

Total cans = 102 + 9 = 111 cans

Answer:

Lily has a higher ratio than Logan

Step-by-step explanation:

The True statement is Lily has a higher ratio than Logan

A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.

Given:

Column 1              Column 2

       3                        9

       4                        12

       5                        15

       6                        18

Second table

Column 1              Column 2

       4                        10

       6                        15

       12                       30

       14                       35

The ratio from the first table is = 3/9 = 1:3 = 5/15

and, the ratio from the second table is = 4/10 = 2:5= 6/15

Hence, Lily has a higher ratio than Logan.

Learn more about ratio here:

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Answer:

d =7.6

Step-by-step explanation:

[tex](-3,11) =(x_1,y_1)\\(-6,4)=(x_2,y_2)\\\\\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\\\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}\\\\=\sqrt{\left(-6-\left(-3\right)\right)^2+\left(4-11\right)^2}\\= \sqrt{(-6+3)^2+(4-11)^2}\\ \\d= \sqrt{(-3)^2+(-7)^2} \\\\d = \sqrt{9+49}\\ \\d = \sqrt{58}\\\\d = 7.61577\\\\d =7.6[/tex]

Answer:

it wouldn't be equal

Step-by-step explanation:

Answer:

  (+8)-(+7) = (+8)+(-7) = 1

Step-by-step explanation:

The given statement ...

  (+8)-(+7)=(+8)+(+7)=(+8)+(-7)

is false. The middle sum is not equal to the other two.

__

In general, subtracting a number is the same as adding it opposite:

  (+8)-(+7) = (+8)+(-7) = 1

Answer:  multiply left and multiply right, then subtract them

Step-by-step explanation:

Sample Left: 6 x 3 - 4 x 3 = x

                               18 - 12 = x

                                    6 = x

Sample: Middle    7 x 4 - 9 x 2 = x

                                 28 - 18 = x

                                         10 = x

Sample: Right       7 x 3 -  0 x 7 = x

                                       21 - 0 = x      

                                             21 = x