The polynomial p(x) = 5x^3 – 9x^2 - 6x + 8 has a known factor of (x + 1).
Rewrite p(x) as a product of linear factors.

Answer:

[tex]m\angle N=57^{\circ}[/tex]

Step-by-step explanation:

From the isosceles-base theorem, the measure of the angles adjacent to the pair of congruent sides of the triangle are equal. Since the problem declares [tex]LM\cong LN[/tex], the remaining unknown angles are equal ([tex]m\angle N=m\angle M[/tex]). The sum of the interior angles of a triangle always add up to [tex]180^{\circ}$[/tex].

Therefore:

[tex]m\angle N\cdot 2+66=180,\\m\angle N\cdot 2=114,\\m\angle N=\fbox{$57^{\circ}$}[/tex] .

Answer:

LMN is rectangle in L so LMN= 180° ; ML=66°;N=?  N= 180°- 66°=114=114/2= 57° so N=57°

Step-by-step explanation:

When the angle at the top is close to 0 °, the two of the base get less than 180 °, or less than 90 ° for each. If the angle at the top is 60 °, the other two are: 180 - 60 = 120 °, and each is: 120/2 = 60 °.

Answer:

24000

Step-by-step explanation:

You just multiply 60 times 400

=24000

Answer:

24,000

Step-by-step explanation:

trick: multiply 6 x 4 = 24 count the zeros (3 zeros) add the amount of zeros to the end of the number being 24 giving you 24,000

Answer:

20 weeks

Step-by-step explanation:

If 20 kilograms of paper have already been recycled, and the goal is 40 kilograms, subtract the 20 kg from the 40 kg. You are left with a remaining 20 kg to recycle. If the new plan has the office recycling 1 kg a week, mulitply that by 20 kg to get 20 weeks.

It will take the office 20 weeks to reach the total 40 kg of recycled paper.

Answer:

Although the ingredients are listed on the box, it may be difficult to follow the recipe because it all depends on whether or not you have the correct ingredients, also knowing how to use them.

Step-by-step explanation:

For instance, if you have an oven or stove which you don't know how to use for this recipe, things could get confusing.

Answer:

Pounds of topsoil needs to order to cover an area of 169 square feet is 0.1275

Step-by-step explanation:

GIVEN: relation between the pounds of topsoil and area covered is ( a = 1325 p )

a represent area and b represent pounds of topsoil

To Find : pounds of topsoil needs to order to cover given area .

Solution : since here relation is given

                     a = 1325 p

            value of a = 169 square feet

so putting the value of a in above relation

       so ,  169 = 1325 p

             p = 169 / 1325  = 0.1275

So , pounds of topsoil needs to order to cover given area is 0.1275

Answer:

0.1275

Step-by-step explanation:

Hope this helps

Answer:

d = 97 m

Step-by-step explanation:

Given that,

The dimensions of the rectangular ceiling is 65 meters by  72 meters.

We need to find how much garland will Hector need to reach from one corner of the ceiling to the  opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :

[tex]d=\sqrt{65^2+72^2} \\\\d=97\ m[/tex]

So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.

Answer:

Step-by-step explanation:

It's C

Let's check

So

Hence he is wrong

Answer:

It's Option'A' i.e 20m=75

Step-by-step explanation:

or,m=75/20

or,m=3.75

Answer:

108/-4

Step-by-step explanation:

Answer:

the answer is -17 because 7×9= 63. 63+5=68. 10-14=-4. 68÷-4=-17

Answer:

sides are 17 cm and 27 cm

Step-by-step explanation:

let the side be x then the adjacent side is x + 10

The perimeter is then

x + x + x + 10 + x + 10 = 88, that is

4x + 20 = 88 ( subtract 20 from both sides )

4x = 68 ( divide both sides by 4 )

x = 17

and x + 10 = 17 + 10 = 27

The sides of the parallelogram are 17 cm and 27 cm

Answer:

Total no. of cups = 25+5n

Step-by-step explanation:

Given that,

Jayden begins with 25 cups with soil at the greenhouse.

Each day he will fill 5 cups more.

We need to find an algebraic expression to represent the number of cups he will have after n days.

Here, 5 cups increases with number of days and 25 cups remain fix.

Total number of cups after n days = 25 + 5n

Hence, the required answer is "25+5n".

Answer:

Annie buys a surfboard online for $ 44. The shipping and handling are an additional 20% of the original price.

Amount of money she will pay for shipping and handling is

[tex]20\% \: of \: \$44 \\ \frac{20}{100} \times 44 = \frac{1}{5} \times 44 = \boxed{\$8.8}[/tex]

She should pay $8.8 for the shipping and handling.

Answer:

0.48

Step-by-step explanation:

Turn 12% into a decimal; 0.12

Multiply 0.12 and 4 to get the answer

0.12 • 4 = 0.48

Hope this helps!

Answer:

$5.28571429 per gallon

Step-by-step explanation:

$46.25 divided by 8.75

You can round this 5.3 or 5.29.

Answer:

[tex]\frac{46.25}{8.75}[/tex]= $5.28/gallon

Step-by-step explanation:

Answer:

[tex]y=5x-20[/tex]

Step-by-step explanation:

Point-slope form.

[tex]\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20[/tex]

35, 42, 105 respectively

Answer:

32, 42, 105

Step-by-step explanation:

(32)^2 = 32×32

= 1225

(42)^2 = 42×42

= 1764

(105)^2 = 105×105

=11025

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ2

Answer:

6.08 x 10(5)

8.85 x 10(-4)

Step-by-step explanation:

I LOVE SCIENTIFIC NOTATION ITS SO EASY

Answer:

area= 50.2654825

dssssss

Answer:

48 if pi is equal to 3

50.48 if pi is equal to 3.14

Step-by-step explanation:

9514 1404 393

Answer:

  2)  y = kx

Step-by-step explanation:

Direct variation is described by the formula ...

  y = kx

where 'k' is the constant of proportionality.

Answer:

ye

Step-by-step explanation:

sorry!

Answer:

4x+3=27

Step-by-step explanation:

So there are 4 x so the first part of the 3quation should be 4x then you have 3 so you add three. Your equation should now be 4x+3, and then the sum of all that should equal 27. So therefore the equation is 4x+3=27

Answer:

Sales price = $78

Original price = $61

Step-by-step explanation:

Ulian bought the shows for $120 at a specialty store. This discount store had it at $42 less. The price at the discount store is therefore:

= 120 - 42

= $78

The shoes at the discount store are 61% off and the discounted price is $78. Assume the original price is x. The original price will be:

x - (x * 61%) = 78

x - 0.61x = 78

0.39x = 78

x = 78/0.39

x = $200

Answer:

4 1/8 ounces

Step-by-step explanation:

Total bag of chocolate chips Mary has = 16 1/2 ounces

She will only use 1/4 of the bag for decorating a cake.

How many ounces will she use for decorating

Ounces used in decoration = 1/4 of 16 1/2

= 1/4 × 33/2

= (1*33)/(4*2)

= 33/8

= 4 1/8 ounces of chocolate chips

She will use 4 1/8 ounces of chocolate chips for decorating a cake

Answer:

[tex]x=\frac{c^2y^2}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2\sqrt{x}}{c}=y\\\\2\sqrt{x}=cy\\\\\sqrt{x}=\frac{cy}{2}\\\\x=\frac{c^2y^2}{2^2}\\\\x=\frac{cy}{4}[/tex]

Answer:

       c²y²

x = ----------

         4

Step-by-step explanation:

Let's isolate √x:  Multiply both sides of this equation by c/2.  We get:

          c*y

√x = ---------

            2

To find an expression for x, square both sides of this result:

      cy

x = {------ }²

         2

This is equivalent to:

       c²y²

x = ----------

         4

Answer:

14 cm

All you have to do is add the four sides up and you're good to go! :)

Answer:

The answer is 14

Step-by-step explanation:

perimeter - means to add . You add all the sides

area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)