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4 years ago

Factor the following expression: x^2-4x+5

Mathematics

1 answer:

frozen [14]4 years ago

3 0

(x-1) (x+5)

Step-by-step explanation:

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Estimate 10/12 − 3/8 using benchmark values. Your equation must show the estimate for each fraction and the final estimate for t

Maksim231197 [3]

Answer: $\frac{11}{24}$

Step-by-step explanation:

Give expression is,

$\frac{10}{12}-\frac{3}{8}$

Since L.C.M ( 12, 8 ) = 24

$=\frac{10\times 2}{12\times 2}-\frac{3\times 3}{8\times 3}$

$=\frac{20}{24}-\frac{9}{24}$

$=\frac{20-9}{24}$

$=\frac{11}{24}$

$\text{Hence, }\frac{10}{12}-\frac{3}{8}=\frac{11}{24}$

8 0

3 years ago

how much must you deposit in an account that pays 8% interest, compounded monthly, to have a balance of $1000 after 3 years?

Makovka662 [10]

Answer:

1000=N(1 + .08/12)^36 where N is the initial deposit.

So 1000=N(1.00666667)^36

N=1000/(1.00666667)^36

ln N=ln 1000/(1.00666667)^36=ln 1000-36 ln (1.00666667)

ln N=6.6685517411100682158933244766027

N=e^6.6685517411100682158933244766027=$787.25463 as the initial deposit.

7 0

3 years ago

Someone pls help! 3x ^2 and x = 10 pls help!

otez555 [7]

Answer:

300

Step-by-step explanation:

Because of PEMDAS (Order of Operations), you would do the exponent first.

So, 3(x)^2 and 3(100)

Then you get 300

Hope this helps!

7 0

2 years ago

Read 2 more answers

Use the law of cosines to find each missing side. Round to the nearest tenth

Charra [1.4K]

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known. The value of x is 117.8°. thus, the correct option is A.

<h3>What is the Law of Cosine?</h3>

The law of cosine helps us to know the third side of a triangle when two sides of the triangle are already known the angle opposite to the third side is given. It is given by the formula,

$Cos(\theta) = \dfrac{a^2+b^2-c^2}{2ab}$

where

c is the third side of the triangle

a and b are the other two sides of the triangle,

and θ is the angle opposite to the third side, therefore, opposite to side c.

As per the law of cosine, the measure of angle x can be written as,

$Cos(x) = \dfrac{12^2+5^2-15^2}{2(5)(12)}\\\\Cos(x) = \dfrac{-56}{120}\\\\x = 117.8^o$

Hence, the value of x is 117.8°. thus, the correct option is A.

Learn more about the Law of Cosine:

brainly.com/question/17289163

#SPJ1

5 0

3 years ago

Help meeeeeeee please

Len [333]

Answer:

x=-20

Step-by-step explanation:

x-3/4x=3/10x-1

20x-15x=6x+20

5x=6x+20

5x-6x=20

-x=20

x=-20

6 0

3 years ago