The sum of two consecutive numbers is -37. Find the numbers.

Answer:

D

Step-by-step explanation:

X3+3x2+5x+2x2+6x+10

Collect like terms

X3+5x2+11x+10

The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Now,

Solve the expression for the factors as;

The expression is,

⇒ P(X) = x³ + 5x² + 11x + 10

Since, -2 is the solution of the expression.

Hence, (x + 2) is one of the factor of the expression.

So, Find the second factor by dividing the expression (x³ + 5x² + 11x + 10)

by (x + 2), we get;

x + 2 ) x³ + 5x² + 11x + 10 (x² + 3x + 5

         x³ + 2x²

        --------------

               3x² + 11x

               3x² + 6x

             ------------------

                       5x + 10

                       5x + 10

                   --------------------

                           0

Thus, The second factor = (x² + 3x + 5)

Therefore,        

x³ + 5x² + 11x + 10 = (x + 2) (x² + 3x + 5)

Thus, The correct expression that shows the P(X) = x³ + 5x² + 11x + 10 as a product of two factors will be;

⇒ (x + 2) (x² + 3x + 5)

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Answer:

Pounds of noodles made per week = 47 1/2 pounds

Step-by-step explanation:

One pound of pasta noodles can be made using the ingredients shown in the recipe below.

Recipe for Pasta Noodles

Ingredients

3 1/2 cups of flour

4 large eggs

2 teaspoons of olive oil

A chef uses 166 1/4 cups of flour each week to make noodles. How many pounds of noodles does the chef make each week?

28 1/2

47 1/2

53 1/4

55 1/2

Pounds of noodles made per week = Total cups of flour used each week / flour used per pound

= 166 1/4 ÷ 3 1/2

= 665/4 ÷ 7/2

= 665/4 ÷ 2/7

= (665*2)/(4*7)

= 1330/28

= 47.5 pounds

Pounds of noodles made per week = 47 1/2 pounds

Answer:

the last one

Step-by-step explanation:

[tex]\sqrt[3]{64}[/tex] and  [tex]16^{3/2}[/tex] expressions have the greatest value.

What is square root and cube root of a number?

Square root of a number results a number that when square, gives us the previous number.

Similarly, cube root of a number results a number that when cubed, gives us the previous number.

Here, [tex]\sqrt[3]{64}[/tex]² = ∛(64 × 64) = ∛(8 × 8 × 8 × 8 × 8 × 8) = 8 × 8 = 64

[tex]16^{3/2}[/tex] = 4³ = 64

[tex]\sqrt[3]{8^{4} }[/tex] = ∛(8 × 8 × 8 × 8) = ∛(64 × 64) = ∛(4 × 4 × 4 × 4 × 4 × 4) = 4 × 4 = 16

√(16²) = √(16 × 16) = 16

Therefore, [tex]\sqrt[3]{64}[/tex]² and [tex]16^{3/2}[/tex] have the greatest value.

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Answer:

$15,937.50

Step-by-step explanation:

15000 × 1.0625 = 15937.5

Answer:

h(0) = -2x

Step-by-step explanation:

Answer:

A. 48

Step-by-step explanation:

4 + 2(3 + 25 - 6) =

4 + 2(28 - 6) =

4 + 2 x 22 =

4 + 44 =

48

Hope that helps!

Answer:

(x-3)(x-1) =0

x-3=0 or x-1=0

x=3 or x=1

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

Answer:

27 years approx

Step-by-step explanation:

Given data

Principal P= $ 3,000

Final amount A= $ 7000

Rate r= 5%

The simple interest expression is

A=P(1+rt)

substitute and solve for t

7000=3000(1+0.05t)

7000=3000+150r

7000-3000=150r

4000=150t

t= 4000/150

t= 26.66

Hence, the time is 27 years approx

Answer:

hi

didn't get it

Step-by-step explanation:

.....

....

Answer:

sorry

Step-by-step explanation:

Answer:

4/17

Step-by-step explanation:

Answer:

Option C. Rational numbers can be written as a fraction where denominator is not zero.

Answer:

B

Step-by-step explanation:

Hope this helps D:

Answer:

"The drone is at the surface of the water at both 4 and 7 seconds into the observation."

Have a good day! :>

Answer:

B

Step-by-step explanation:

0 = t^2 - 11t + 28

0 = (t-4) x (t-7)

so it is at the surface at seconds 4, 7

Answer:

-1/200

Step-by-step explanation:

To get from one point to the other you rise (go down in this case since the slope is negative) $1 every time you make 200 more scarves.

Answer:

it has increased by 1/2 so the scale factor would either be 3/2 or 1.5 or something

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Because 6 is 6 times as 1, 12 is 6 times as 2, 18 is 6 times as 3 and so on.

Answer:

50 times

Step-by-step explanation:

Since the odds of her getting a heads is 50% (1/2) every time she flips the coin. So she should expect to get 50 heads. However this number varies practically because in every single flip there is a 50-50 chance. If she had flipped it infinitely many times then it would be exactly 50%

Answer:

18

Step-by-step explanation:

if you were to plug the coordinates into a graph, (-5,-4) would be 16 blocks to the right and two blocks up making it a total of 18

Hope this helps!

The distance between the points P ( -5 , 4 ) and Q ( 3 , -3 ) on the plane is given by D = 8.06 units

The distance of a line between 2 points is always positive and given by the formula

Let the first point be A ( x₁ , y₁ ) and the second point be B ( x₂ , y₂ )

The distance between A and B is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

Given data ,

Let the first point be P = P ( -5 , -4 )

Let the second point be Q = Q ( 3 , -3 )

Now , distance between P and Q is D , and the distance D is

Distance D = √ ( x₂ - x₁ )² + ( y₂ - y₁ )²

D = √ ( -5 - 3 )² + ( -4 - ( -3 ) )²

D = √ ( 64 + 1 )

D = √65 units

D = 8.06 units

Hence , the distance is 8.06 units

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Answer:

c=28

Step-by-step explanation:

50-4=2(c-5)

apply distributive property

50-4=2c-10

now simplify

46=2c-10

56=2c

28=c

Answer:

Step-by-step explanation:

Flight A :

Checked bag fee = $27

Additional fee per overweight limit = $24

Flight B:

Checked bag fee = $16

Additional fee per overweight limit = $25

Since, the total amount paid for the package on both flights are the same ;

Let x = mass of bag above the weight limit.

Hence, Mathematically ;

27 + 24x = 16 + 25x

24x - 25x = 16 - 27

-x = -11

x = 11

Hence. The bag was s 11kg over the weight limit.

Answer:

36 ounces

Step-by-step explanation:

3 pounds is 48 ounces - 12 pounds used gives you 36 ounces which is 2 pounds and a quarter ( 2 1/4)

Answer:6

Step-by-step explanation:

Vertical angle proof. 4x is equal to 24 so 24/4=6 and x is 6

Answer:

48.25

Step-by-step explanation:

This is because when finding the area of a triangle it is known as base times height then divide by 2 and since the base is a triangle, multiply 4.3 times 5 which is 21.5 and divide by 2 which is 10.75 and for the top since its also a triangle multply 5x5 which is 25 divide by 2 whicih is 12.5, but there is 3 of them so multiply by 3 and you get 37.5, then add 37.5+10.75 to get 48.25 cm^2

Answer:

x = -10

Step-by-step explanation:

Answer:

x = -10

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

Answer:

-4m/s

Step-by-step explanation:

Answer:

x>2

Step-by-step explanation:

im the same guy who wrote the comment. I just want points lol

Answer:

sorry it blurry the answer is 154cm²

hope that helps