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madam [21]
2 years ago
9

Solve for x in the equation x squared 10 x 12 = 36. x = –12 or x = 2 x = –11 or x = 1 x = –2 or x = 12 x = –1 or x = 11

Mathematics
1 answer:
bazaltina [42]2 years ago
6 0

Quadratic equations are equations that has a leading degree of 2. The value of x from the given quadratic equation is 2 or -12

<h3>Quadaratic equation</h3>

Quadratic equations are equations that has a leading degree of 2

GIven the quadratic equation expressed as x^2 + 10x + 12 = 36

Rewrite

x^2 + 10x - 36 + 12 = 0

x^2 + 10x - 24 = 0

Factorize

x^2 + 12x -2x - 24 = 0
x(x+12) -2(x+12) = 0
x - 2 = 0 and x = -12

x =2 or -12

Hence the value of x from the given quadratic equation is 2 or -12

Learn more on quadratic equation here: brainly.com/question/1214333

#SPJ4

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Farmer Fran has 38 barnyard animals consisting of only chickens and goats. If these animals have 116 legs how many of each type
musickatia [10]

Answer: There are 20 goats and 18 chikens.

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations:

If the number of chickens is represented by C, and the number of goats is G.

Total of Animals equation:

a)C+ G = 38

Total of legs equation (since chickens have 2 legs and goats have 4 ):

b)2C + 4 G =116

If we multiply a) by 2 and subtract a) from b).

<em>2C + 4 G =116 </em>

<em>- </em>

<em>2C + 2 G =76 </em>

<em>_________ </em>

<em>2G = 40 </em>

  • Solving for G:

G = 40/2

G= 20

Replacing the value of G on any equation:

a) C+ (20) =38

  • Solving for C

C =38-20

C=18

There are 20 goats and 18 chickens.

7 0
3 years ago
Suppose a football player kicks a ball and gives it an initial upward velocity of 47 ft/s. Use the formula h(t)= -16t^2+47t+3 wh
statuscvo [17]

Answer:

Step-by-step explanation:

a. when t=0,h=3ft

h(t)=-16 (t^2-\frac{47}{16}x+(\frac{47}{32} )^2)+\frac{47^2}{32^2} *16+3\\=-16(t-\frac{47}{32})^2+\frac{2209}{64}+3\\=-16(t-\frac{47}{32})^2+\frac{2209+192}{64}\\when~ t=\frac{47}{32}\\h=\frac{2301}{64}\\or~v^2-u^2=2gh\\\\0^2-47^2=2*(-32)h\\or h=\frac{47^2}{64}=\frac{2209}{64} \\height from the ground=\frac{2209}{64} +3=\frac{2301}{64}

c.t=47/32 sec

d.

time taken to fall 2301/64 ft=0*t+\frac{1}{2}*32*t^2

t^2=\frac{2301}{64*16}

t=\frac{\sqrt{2301}}{8*4}=\frac {47.97}{32}

total ~time=\frac{47+47.97}{32}=\frac{94.97}{32} sec

4 0
3 years ago
Write each fraction as a decimal. Use bar notation if necessey.
lions [1.4K]
Think of fractions as an equation for a decimal. So treat it as such. 
32/75=0.427
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-5/8=-0.625
-7/10=-0.7
21/7=3
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5 0
4 years ago
A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes. (Use set notation for the domain and ran
Mamont248 [21]

A bicyclist travels at a constant speed of 12 miles per hour for a total of 45 minutes.

We know the formula , Distance = speed * time

Speed is constant and it is 12. So it  is linear

The function becomes d = 12t, x is the t is the time and d is the distance

At the starting point, t=0  and distance d=0

End point , t=45 min = 0.75 hours and distance = 12 * 0.75 = 9

So domain (t) is {x|0}

Range (d) is {y|0}

5 0
3 years ago
Read 2 more answers
How can you quickly determine the number of roots a polynomial will have by looking at the equation?
Alika [10]
Suppose we have a generic polynomial of the form:
 ax ^ 2 + bx + c&#10;
 To know how many roots the polynomial can have, the first thing you should do is observe the term of greatest exponent.
 For this case, the term of greatest exponent is 2.
 Therefore, the polynomial has 2 roots.
 Answer:
 
You must observe the term of the polynomial with greater exponent.
8 0
3 years ago
Read 2 more answers
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