Examine whether x + 2 is a factor of x³ + 3x² + 5x + 6 and of 2x + 4.

Answer:

4.83 * 10^9

Step-by-step explanation:

Here, we want to express the given number in scientific notation

What we have to do here is to place the decimal number at the back of the first non zero number

The first non zero number is 4

So

let us count the number of digits after the first non zero number

That will be 9

So we make this the power of 10

And our answer will be;

4.83 *10^9

Answer:

70.3

EXPLANATION:

ejxjcjfkfkgkvkfkdkgnvkdlekgkgngkdkfjvnfk

Answer:

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Step-by-step explanation:

use substitution method

x+y = 42 ------ (1)

xy = 108 ------ (2)

from (1) ,

x+y = 42

y = 42-x ------ (3)

substitute (3) into (2)

xy = 108

x( 42-x ) = 108

42x - x² = 108

-x² + 42x - 108 = 0

x² - 42x + 108 = 0

use the following formula to solve the value of x:

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

a = 1

b = -42

c = 108

[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]

[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 + 3 \sqrt{37} [/tex]

[tex]x = 39.25[/tex]

[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]

[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]

[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]

[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]

[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]

[tex]x = 21 - 3 \sqrt{37} [/tex]

[tex]x = 2.75[/tex]

the 2 values of x are x = 39.25 and x = 2.75

substitute x = 39.25 into (3)

y = 42-x

y = 42-39.25

y = 2.75

substitute x = 2.75 into (3)

y = 42-x

y = 42-2.75

y = 39.25

when x = 39.25, y = 2.75

when x = 2.75, x = 39.25

Answer:

is a character from Touhou Project debuting in the video game, Subterranean Animism. She is the Mistress of the Palace of the Earth Spirits after the underground city was separated from Hell.

Step-by-step explanation:

Answer:

She is  the Mistress of the Palace of the Earth Spirits. And in turn is a n anime character

Step-by-step explanation:

Answer:

$2535

Step-by-step explanation:

First, find the the pay he received for the regular hours worked.  To find this, you must multiply the hours worked by his wage.

$11 × 160 = $1760

Next find the the pay received for overtime.  Do the same process as above.

$15.50 × 50 = $775

Now that you have the pay for regular hours and overtime hours, add the two amounts together to find the amount for his total paycheck.

$1760 + $775 = $2535

Answer: 4.5

Hope this helps :)

Answer:

Step-by-step explanation:

(your value for y is correct)

this is an equilateral triangle so the right triangle’s hypotenuse is 40

to find x we need to use sin (which equals opposite of the angle over hypotenuse)

so

sin(x) = 20/40

sin(x) = 1/2

sin inverse(1/2) = x

x = 30°

Answer:

To prove the congruence between two triangles there are several postulates, that can be applied depending on the congruent parts of the triangles.

The postulates are:

SAS (Side-Angle-Side): This postulate states that if two triangles have two corresponding sides congruent and one corresponding angle congruent, we can conclude that those triangles are completely congruent.

ASA (Angle-Side-Angle): This postulate states that if two triangles have two corresponding angles congruent and one corresponding side congruent, then those triangles are congruent.

SSS (Side-Side-Side): This postulate states that if two triangles have all three corresponding sides congruent, then triangles are congruent.

AAS (Angle-Angle-Side): If two pairs of corresponding angles are congruent and one pair of corresponding sides is congruent, then both triangle are congruent each other.

HL (Hypothenuse-Leg): this postulate is applied when we have right angles. It states that two right triangles are congruent if they have one pair of corresponding leg congruent, and the hypothenuses are also congruent. We could conclude that those right triangles are congruent.

From these postulate, we can demonstrate the congruence between two triangles. Then, from that congruence, we deduct the congruence between each corresponding parts of those triangles. For example, if we demonstrate the congruence by AAS, we deduct that the third angle is also congruent, and the other two sides are also congruent.

Answer:

h = 2

Step-by-step explanation:

-22 = -11h

/-11 /-11

2 = h

hope this helps

Answer:

[tex]h=2[/tex]

Step-by-step explanation:

STEP 1: Rewrite the equation as [tex]-11h=-22[/tex].

[tex]-11h=-22[/tex]

STEP 2: Divide each term by [tex]-11[/tex] and simplify.

[tex]h=2[/tex]

Answer:-7x+2y=2

Step-by-step explanation:

(-2x+y=8)-(5x-y=6)

(-2x+y=8)> this side change since it’s negative

(-2x+y=8) - (-5x+y=-6)

-7x+2y=2

Answer:

87 degree

Step-by-step explanation:

interior angle is 180

So 56+37 = 93

180-93 = 87

Answer:

Step-by-step explanation:

we know that the sum of the angles in a triangle = 180 degrees

the third angle will be = 180-(56+37)=87

Answer:

x=-5

Step-by-step explanation:

If f(x)=0, then x=-5

Drawing the line y=0 shows this visually

Answer:

Non il n'a pas besoin de couvrir le jardin

Step-by-step explanation:

Comme à 16h il fait 5°C, on enlève 0.5°C toutes les deux heures donc à 18h il fera 4.5°C, à 20h il fera 4°C, à 22h il fera 3.5°C, à 0h il fera 3°C, à 2h il fera 2.5°C et à 4h la dernière heure où la température baisse il fera 2°C

Answer:

132

Step-by-step explanation:

it is

Simple interest is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

The interest that will be paid after 3 years with 8% interest is $132.

It is the interest calculated on the principal at a given rate for a time period.

The formula for simple interest is given as,

SI = (P x R x T) / 100

P = Principal

R = rate

T = time in years

We have,

P = $550

R = 8%

T = 3 years

SI = (P x R x T) / 100

SI = (550 x 8 x 3) / 100

SI = $132

Thus,

The interest that will be paid after 3 years with 8% interest is $132.

Learn more about simple interests here:

https://brainly.com/question/25845758

#SPJ2

Answer:

they have to work 2 hours

Step-by-step explanation:

Jess has a $5+ x*$10

Sam has  x*$12.5

where x-is number of hour worked

after x=1 hour

Jess has a $5+ 1*$10=$15

Sam has  1*$12.5= $12.5

afterx=2 hours

Jess has a $5+ 2*$10=$25

Sam has  2*$12.5=$25

Answer:

m = 1/2 or 0.25

Step-by-step explanation:

Brainliest Please!!

Answer:

The First house, also has a bigger bed! :)

Step-by-step explanation:

Answer: the first one hi Nana if u keep getting friend request ignore it im tryna make a bunch of acc but tell josh 2 talk 2 me

Step-by-step explanation:

Answer:

i think it is neither

Step-by-step explanation:

Answer:

Step-by-step explanation:

Margo estimated that 18 is close to 20 and 20/5=4

18 is also close to 15 and 15/5=3

so she figured her answer will be between 30 and 40

Answer:

[tex]15 \div 5[/tex]

Step-by-step explanation:

15 is the closest nuber to 18 making it a better assumption for her.

Answer:

528 cookies

Step-by-step explanation:

3 hours is 180 minutes

55 minutes - the 15 for preheating is 40 minutes

180 minutes + 40 minutes = 220 (total time she could've had cookies in the oven)

220 divided by 20 is 11 (total batches of cookies)

11 times 48 is 528

Sorry if my answer is confusing lol

The total number of cookies that Amy baked is 528 cookies.

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

To solve this problem, we need to convert the total time the oven was on (3 hours and 55 minutes) into minutes.

Since there are 60 minutes in an hour, the total time the oven was on in minutes is : 3 hours x 60 minutes/hour + 55 minutes = 235 minutes.

We need to subtract the time the oven was preheating (15 minutes) from the total time the oven was on to get the time that was spent baking cookies. This gives us a total of 235 minutes - 15 minutes = 220 minutes of baking time.

Since each batch of cookies takes 20 minutes to bake, the number of batches of cookies that Amy baked is :

220 minutes / 20 minutes/batch = 11 batches.

Since each batch contains 48 cookies,

So, the total number of cookies that Amy baked is :

11 batches × 48 cookies/batch = 528 cookies.

Thus, Amy baked 528 cookies overall altogether.

Learn more about Subtraction operations here:

brainly.com/question/25834626

#SPJ12

Answer: 1,425 students

Step-by-step explanation: This is easy to solve using proportions/

114/8 = ?/100

First, you cross multiply (or whatever this is called sry) 100x114=11400

Then divide 11400÷8=1,425

Step-by-step explanation:

1/8+1/4+1/8=1/8+2/8+1/8=4/8=1/2

Answer:

1,2,1, 4, 1

These numbers correspond with the boxes in order from left to right.

Answer:

60/25 is greater than 60/132

Answer:

60/25

Step-by-step explanation:

Between the two, 60/25 most definitely would be the greater one of the two. Unless if you were intending 25/60, 60 divided by 25 gives you 2.4. 60/132 gives you 0.4545, so the 2.4 is greater.

Answer:

Mixed Number: 4 191919/1,000,000

Fraction: 4191919/1,000,000

Step-by-step explanation:

Answer:

bsysbjzjsjshshhsjsuejskbuaosnznzjz

Answer:

84 years old

Step-by-step explanation:

A simple 12 x 7 Since for ever 7 dog years= 1 human year

Answer:

In order to use the Pythogrean theorem you must first use the points to form a triangle then count the side length in order to get your numbers. It should be 7^2+2^2=c^2 and your answer should be 7.28. This person subtracted the x coordinates from the x coordinate and the y from the y to get their numbers.

Step-by-step explanation:

Answer:

A. 29

Step-by-step explanation:

Set 5x - 11 = to 3x + 5, and then solve for X, and substitute the x value (8) back into the equation to get 29.

~theLocoCoco

Answer:

the answer is 48π  in²

explanation:

i took the quiz