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Sindrei [870]
3 years ago
13

Help me please thank you

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0
(x+4)+135.8=180.0
-135.8.-135.8

x+4= 44.2
-4 -4
x= 40.2
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Determine the number of real solutions for each of the given equations. Equation Number of Solutions y = -3x2 + x + 12 y = 2x2 -
rosijanka [135]

Answer:

Step-by-step explanation:

Our equations are

y = -3x^2 + x + 12\\y = 2x^2 - 6x + 5\\y = x^2 + 7x - 11\\y = -x^2 - 8x - 16\\

Let us understand the term Discriminant of a quadratic equation and its properties

Discriminant is denoted by  D and its formula is

D=b^2-4ac\\

Where

a= the coefficient of the x^{2}

b= the coefficient of x

c = constant term

Properties of D: If D

i) D=0 , One real root

ii) D>0 , Two real roots

iii) D<0 , no real root

Hence in the given quadratic equations , we will find the values of D Discriminant  and evaluate our answer accordingly .

Let us start with

y = -3x^2 + x + 12\\a=-3 , b =1 , c =12\\D=1^2-4*(-3)*(12)\\D=1+144\\D=145\\D>0 \\

Hence we have two real roots for this equation.

y = 2x^2 - 6x + 5\\

y = 2x^2 - 6x + 5\\a=2,b=-6,c=5\\D=(-6)^2-4*2*5\\D=36-40\\D=-4\\D

Hence we do not have any real root for this quadratic

y = x^2 + 7x - 11\\a=1,b=7,-11\\D=7^2-4*1*(-11)\\D=49+44\\D=93\\

Hence D>0 and thus we have two real roots for this equation.

y = -x^2 - 8x - 16\\a=-1,b=-8,c=-16\\D=(-8)^2-4*(-1)*(-16)\\D=64-64\\D=0\\

Hence we have one real root to this quadratic equation.

7 0
3 years ago
The jar only contains nickels and dimes altogether there are 10 coins total of the value is 90 cents how many nickels and how ma
lilavasa [31]
Write a system of equations and solve.

x + y = 10
5x + 10y = 90

Multiply and combine equations

-5x - 5y = -50
5x + 10y = 90
------------------
5y = 40
y = 8
x = 2

There are 2 nickels and 8 dimes in the jar. Hope this helps! :)
3 0
3 years ago
What are mixed numbers
Colt1911 [192]


Mixed numbers are fractions with a whole number.

For example, 1 2/4, 2/8, and 7 7/8 are mixed numbers.

Hope it helps

5 0
3 years ago
Read 2 more answers
Geometry math question no Guessing and Please show work thank you
Daniel [21]

Hello!

Each minute on a clock or watch is 6°, as you divide 360° by 60 minutes. As you can see, 32 minutes elapsed during the class. Therefore we just multiply.

32(6)=192

Therefore, our answer is B) 192.

I hope this helps!

5 0
3 years ago
What is the value of x? Enter your answer in the box. x =
Evgesh-ka [11]
X^2 = 24^2 + 7^2
x^2 = 576 + 49
x^2 = 625
x = 25

8 0
4 years ago
Read 2 more answers
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