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Tom [10]
3 years ago
11

Factor the equation x ^2-2x + 5 = 0 justify your answer

Mathematics
1 answer:
Sidana [21]3 years ago
7 0
X = 1 + ^6, 1 - ^6. Is the answer to the question.
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A greeting card cost four dollars before tax. A customer has a 15% discount. Then the 5% sales tax is added. How much will the c
ss7ja [257]

Given:

Greeting card cost before tax = $4

Discount = 15%

Sales tax = 5%

To find:

How much will the customer pay for the card?

Solution:

It is given that the cost of the greeting card before tax is $4.

After 15% discount, the cost of the greeting card is:

Cost of card after discount =4-\dfrac{15}{100}\times {4}

                                             =4-0.6

                                             =3.4

The cost of card after 5% sales tax is:

Cost of card after tax =3.4+\dfrac{5}{100}\times 3.4

                                    =3.4+0.17

                                    =3.57

Therefore, the customer will pay $3.57 for the greeting card.

7 0
3 years ago
A new car depreciates at a rate of 15% per year. What is the expected value of a $25,000 car after 5 years (rounded to nearest w
Verdich [7]
<span>V(t) = 25000*0.85^t
----
V(5) = 25000*0.85^5 = $11092.63
   =$11093</span>
5 0
3 years ago
Find the max/min value of f(x) = 2x2 + 3x - 5
Lelechka [254]

Answer:

The minimum value is (-\frac{3}{4},-\frac{49}{8}) or  (-0.75,-6.125)

Step-by-step explanation:

we have

f(x)=2x^{2}+3x-5

This is the equation a vertical parabola open upward

The vertex represent a minimum

The general equation in vertex form is

f(x)=a(x-h)^2+k

where

(h,k) is the vertex

Convert the given function in vertex form

f(x)=2x^{2}+3x-5

Factor 2

f(x)=2(x^{2}+\frac{3}{2}x)-5

Complete the square

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-5-\frac{9}{8}

f(x)=2(x^{2}+\frac{3}{2}x+\frac{9}{16})-\frac{49}{8}

Rewrite as perfect squares

f(x)=2(x+\frac{3}{4})^{2}-\frac{49}{8}

The vertex is the point (-\frac{3}{4},-\frac{49}{8})

8 0
3 years ago
If y varies directly as x, what is the value of y in these ordered pairs (5,20) and (15,y)
LenKa [72]
Y would equal 60 and hello again
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Zane
7 0
4 years ago
An acute angle θ is in a right triangle with sin θ = eight ninths. What is the value of cot θ? nine divided by the square root o
snow_lady [41]

Answer:

\frac{\sqrt{17} }{9}

Step-by-step explanation:

a^2 +b^2 =c^2 Use pythagorean theorem

8^2 +b^2 =9^2 Substitute in your known values

b=\sqrt{17} , -\sqrt{17}

b=\sqrt{17} A triangle leg cannot be a negative length

\frac{\sqrt{17} }{9} Find cosine of angle theta.

3 0
3 years ago
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