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UNO [17]
3 years ago
12

Use the quadratic formula to solve x2 – 5x + 3 = 0.

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

Answer:

x is 4.30 and 0.697

Step-by-step explanation:

Quadratic formular:

x =  \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a}  \\

a » 1

b » -5

c » 3

x =  \frac{ - ( - 5)± \sqrt{ {( - 5)}^{2}  - (4 \times 1 \times 3)}  }{(2 \times 1)}  \\  \\ x =  \frac{5± \sqrt{13} }{2}

Therefore, values of x :

x =  \frac{5 +  \sqrt{13} }{2}  \:  \: and \:  \:  \frac{5 -  \sqrt{13} }{2}  \\  \\ x = 4.30 \:  \: and \:  \: 0.697

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What type of function is y=2x^2
anastassius [24]
I guess the function is a parabola with vertex at (0,0) and opens down so the range is (-infinity, 0].
4 0
3 years ago
Kyle has ​$1 comma 000 in cash received for high school graduation gifts from various relatives. He wants to invest it in a cert
Vera_Pavlovna [14]

Answer:

$1077.283

Step-by-step explanation:

When complete the first year the amount will be:

1000 * 1.015= 1015

1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015

When complete the second year the amount will be the last year amount adding the rate interest:

1015*1.015=1030.225.

To the third year:

1030.225*1.015=1045.678

To the fourth year:

1045.678*1.015=1061.363

To the fifth year:

1061.363*1.015=1077.283

4 0
3 years ago
the area of a rectangular window is 6216 cm^2. if the length of the window is 84 cm, what is it's width?​
Rus_ich [418]

Answer:

<h3>The answer is 74 cm</h3>

Step-by-step explanation:

The area of a rectangle = length × width

Since we are finding the width

We have

width  = \frac{area}{length}  \\

From the question

area = 6216 cm²

length = 84 cm

The width is

width =  \frac{6216}{84}  \\

We have the final answer as

<h3>74 cm</h3>

Hope this helps you

3 0
4 years ago
How do you write one-fourth of a number , increased by seven
horrorfan [7]
X/4+7=y 

x being your "number" and y being the answer
8 0
4 years ago
What is the greatest common factor of the terms in the polynomial 4x^4-32x^3-60x^2?
jonny [76]

Answer:

\mathrm{Factor}\:4x^4-32x^3-60x^2:\quad 4x^2\left(x^2-8x-15\right)\\

\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^3=xx^2\\x^4=x^2x^2\\=4x^2x^2-32xx^2-60x^2\\\mathrm{Rewrite\:}60\mathrm{\:as\:}4\cdot \:15\\\mathrm{Rewrite\:}32\mathrm{\:as\:}4\cdot \:8\\=4x^2x^2-4\cdot \:8xx^2-4\cdot \:15x^2\\\mathrm{Factor\:out\:common\:term\:}4x^2\\=4x^2\left(x^2-8x-15\right)

<em>Hope this helps and have a great day!!!</em>

<em>Sofia</em>

4 0
3 years ago
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