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2 years ago

Write x^2 + 4x +5 in the form of (x + a)^2 + b where a and b are integers

Mathematics

1 answer:

Alisiya [41]2 years ago

6 0

Answer:

$(x+2)^2 + 1 \ , \ where \ a = 2 \ , \ b = 1$

Step-by-step explanation:

$(x + 2)^2 = x^2 + 4x + 4\\\\(x+2)^2 + 1 = x^2 + 4x + 5$

$Therefore,$

$x^2 + 4x + 5 = (x+2)^2 + 1$

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Multiply: (x – 4)(x + 5)

denpristay [2]

Answer:

D. x2 + x - 20.

Step-by-step explanation:

(x – 4)(x + 5).

= x(x + 5) -4(x + 5).

= x2 + 5x – 4x – 20.

= x2 + x - 20.

3 0

3 years ago

A__________________________ is a correspondence between two types of quantities such that the measures of quantities of the firs

My name is Ann [436]

Answer:

Newtons 2nd law of motion

Step-by-step explanation:

Newton’s second law of motion is closely related to Newton’s first law of motion. It mathematically states the cause and effect relationship between force and changes in motion. Newton’s second law of motion is more quantitative and is used extensively to calculate what happens in situations involving a force. Before we can write down Newton’s second law as a simple equation giving the exact relationship of force, mass, and acceleration, we need to sharpen some ideas that have already been mentioned.

6 0

3 years ago

You and your friend are comparing two loan options for a $165,000 house. Loan 1 is a 15-year loan with an annual interest rate o

Harlamova29_29 [7]

Answer:

No, he is wrong.

Step-by-step explanation:

Since, the total payment of a loan after t years,

$A=P(1+r)^t$

Where,

P = present value of the loan,

r = rate per period ,

n = number of periods,

Given,

P = $165,000,

In loan 1 :

r = 3% = 0.03, t = 15 years,

So, the total payment of the loan is,

$A_1 = 165000(1+0.03)^{15}=165000(1.03)^{15}\approx \$ 257,064.62$

In loan 2 :

r = 4% = 0.04, t = 30 years,

So, the total payment of the loan is,

$A_2 = 165000(1+0.04)^{30}=165000(1.04)^{30}\approx \$ 535,160.59$

Since, $A_1 < A_2$

Hence, total amount repaid over the loan will be less for Loan 1.

That is, the friend is wrong.

7 0

2 years ago

I really need help with this please ! I don't understand it, and I have a quiz tomorrow

erik [133]

You can do this by finding a number close to it, and then finding out how to do it.

For example with 63(square root sign), find out what is close to it.

7x7=49 while 8x8=64

Because of this, we now know that it is between 7 and 8 but is also really close to 8.

Our number could be 7.9

Hope this helped!!!

3 0

2 years ago

How much of a 3/4 of cup serving is in a 2/3 cup of yogurt?

Veronika [31]

Answer:

8/9

Step-by-step explanation:

could i have brailiest plz it isnt a must tho thx

3 0

2 years ago