factor the trinomial below. x^2 - 14x + 45
A. (x-5)(x+9)
B. (x-5)(x-9)
C. (x-3)(x+15)
D. (x-3)(x-15)

Answer:

$80 interest will be owed for 4 months

Step-by-step explanation:

P is the principal amount, $4000.00.

r is the interest rate, 8% per year, or in decimal form, 8/100=0.08.

t is the time involved, 3....month(s) time periods.

Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

Do this by dividing your time, 3- month(s), by 12, since there's 12 months in 1 year.

So, t is 0.25....year time periods.

To find the simple interest, we multiply 4000 × 0.08 × 0.25 to get that:

Answer:

Creo que $1,280

Step-by-step explanation:

12,000+800=12,800

12,800 x 10% =1,280

Answer:

Hope this helps!!!! ;)

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

the 35 degrees in blue and the orange x angle are corresponding angles

Answer:

2πr/d

Step-by-step explanation:

Circumference = 2πr

Pi = circumference/diameter

=2πr/d

Answer:

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

a)

the probability that Celia is first in line is 1/n.

b)

the probability that Celia is first in line and Felicity is last in line is 1/n(n-1)

c)

the probability that Celia and Felicity are next to each other in the line is 2/n

Step-by-step explanation:

Given the data in question;

a) Celia is first in line?

the total ways are; n! to place n kids in n places in orderly fashion.

now, if Celia is the first kid, we have to order remaining n-1 kids

(n-1)! / n! = 1/n

therefore, the required probability is 1/n.  

b)  Celia is first in line and Felicity is last in line?

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia is the first and Felicity is the last kid, we order the remaining n - 2 kids, which can be done in (n-2)!

(n-2)! / n! = 1 / n(n-1)

therefore, the required probability is 1 / n(n-1)

c) Celia and Felicity are next to each other in the line

the total ways are; n! to place n kids in n places in orderly fashion,

now, if Celia and Felicity as single object, so that they can be put together, we arrange n-1 objects which can be done in (n-1)! ways.

But also these 2 can change the place so in total there are 2(n-1)! ways.

2(n-1)! / n! = 2/n

Therefore, the required probability is 2/n

Answer:

Original Price was $27.00

Step-by-step explanation:

27*.30=8.10

Answer:

9). x = 36.9°

10). x = 18.3°

Step-by-step explanation:

9). By applying tangent rule in the given triangle,

   tan(x) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

   tan(x) = [tex]\frac{9}{12}[/tex]

   x = [tex]\text{tan}^{-1}(\frac{3}{4})[/tex]

   x = 36.87°

   x = 36.9°

10). By applying sine rule in the given triangle,

   sin(x) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

   sin(x) = [tex]\frac{11}{35}[/tex]

   x = [tex]\text{sin}^{-1}(\frac{11}{35})[/tex]

   x = 18.32

   x ≈ 18.3°

Answer: 3 Sets of the 4 post cards and 3 of the single post cart sets.

Step-by-step explanation:

You buy 3 of the 4 post card set becuase that is the most you can get of those to get under 15 post cards.

You would now have 12 postcards now you have to buy 3 of the single set to get to 15 cards

Answer:

Answer = 52

5+47= 52

done

Answer:

y=4

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation

x=2 is where you could fold the quadratic function and have the sides overlap perfectly

Answer:

function

Step-by-step explanation:

y = 6x^2 +x+7

This is an upward facing parabola

This relation will pass the vertical line test.

This relation is a function

Answer:

B=9in

Step-by-step explanation:

To find the solution to this problem we will use the Pythagoras theorem.

[tex]c = {a}^{2} + {b}^{2} \\ = \sqrt{ {8}^{2} + {4}^{2} } \\ = 8.944... \\ = 9[/tex]

Answer:

your answer would be 9 in.

Step-by-step explanation:

I hope this makes your day a bit easier!!

Answer:

5

Step-by-step explanation:

First,let find the area of AMY. It is given that

Am=5

MY=7

AY=3

We can add up those numbers to find the perimeter.

5+7+3=15.

2. Since AMY and MEG are similar shapes, there side lengths are proportional, and their perimeter is also proportional.

The only transformation that can accomplish that is a dilation.

MEG is a dilation of AMY by 1/3. so that means MEG is 3 times smaller than AMY.

We would just divide 3 by the perimeter of AMY to find MEG.

[tex] \frac{15}{3} = 5[/tex]

Answer:

Volume of cube = 125 cm³

Step-by-step explanation:

Given:

Side of cube = 5 cm

Find:

Volume of cube

Computation:

Volume of cube = side³

Volume of cube = 5³

Volume of cube = 125 cm³

Answer:

(x-30)/(3x-10)

Step-by-step explanation:

[tex] \frac{(x + 3)(x - 30)}{(x + 3)(3x - 10)} = \\ \frac{x - 30}{3x - 10} [/tex]

Answer:

EF = 3.3 ft

Step-by-step explanation:

cos 6 = 3.3/EF

0.9945 = 3.3/EF

EF = 3.32 ft

The number of oranges in the shipment can the manager predict weighing 5 ounces would be; 56.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

Given that a grocery store receives a shipment of 700 oranges the manager randomly selects 25 oranges to weigh in that sample 2 oranges weigh 5 ounces.

Now set up a proportion;

2/25 = (x)700

Cross multiplication;

700(2)= 25(x)

1400/25=x

x=56

Therefore, the number of oranges in the shipment can the manager predicts weighing 5 ounces would be; 56.

More can be learned about proportions at;

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Answer: y= 4

x = 8

Step-by-step explanation:

Answer:

x=-36

Step-by-step explanation:

Answer:

y = (-1/2)x-9

Step-by-step explanation:

the slope is -1/2 and the y-intercept is -9 plug that into y=mx+b is y = (-1/2)x-9.

Answer:

$2100

Step-by-step expla35 x 4 = 140 140 x 15 =  2100

Answer:

i think you cn use frction

Answer: B.) I and II

Step-by-step explanation: remember doing this in like- middle school so you're welcome! it should be the right answer(:

The key features of the quadratic function are

From the question, we have the following parameters that can be used in our computation:

y = -x² + 4x - 3

A quadratic function is represented as

y = ax² + bx + c

By comapring the equations, we have

a = -1, b = 4 and c = -3

For the key features

Axis of symmetry: x  = -b/2a

So, we have

x  = -4/(2 * -1)

x  = 2

The domain of the function is the set of all real values

For the vertex, we have

(h, k) = (symmetry, f(symmetry))

So, we have

y = -2² + 4(2) - 3

y = 1

So, the vertex is (2, 1)

Read more about quadratic equation at

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