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lozanna [386]
3 years ago
9

Write a quadratic equation with -4 and 3/2 as it’s roots. Write the equation in the form ax^2 + bx + c = 0, where a, b, and c ar

e integers.
Mathematics
1 answer:
jonny [76]3 years ago
5 0

9514 1404 393

Answer:

  2x² +5x -12 = 0

Step-by-step explanation:

When p and q are roots of a quadratic, its factored form can be written as ...

  (x -p)(x -q) = 0

Here, the roots are given as -4 and 3/2, so the factored form would be ...

  (x -(-4))(x -(3/2) = 0

Multiplying by 2 gives us ...

  (x +4)(2x -3) = 0

Expanding the product, we find the desired quadratic is ...

  2x² +5x -12 = 0

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Lucy's savings account has 35% more money than her sister Edy's. Together, the girls have saved a total of $206.80. How much mon
Ber [7]
X=Lucy´s money
y=Edy´s money
we can suggest this system of equations:
x=y+(35/100)y    ⇒x=135y/100
x+y=206.8

solve by substitution method. 
(135y/100)+y=206.8
Least common multiple=100
135y+100y=20680
235y=20680
y=20680/235=88

then:
x=135y/100=135(88)/100=118.8

Answer:
Lucy´s money=$118.8
Edy´s money=$88

To check:
Together, the girls have   saved a total of $118.8+$88=$206.8
Lucy´s savings account has: $88+(35/100)$88=$118.8, 35% more monty than Edy´s. account.     .                                                                                                                            
7 0
3 years ago
Which system of linear inequalities is represented by the graph?
Aloiza [94]
The blue line has a slope of 2 and a y-intercept of +4. Its equation is
  y = 2x +4
The shaded area is above the line, so it is the boundary of the inequality
  y ≥ 2x + 4

The red dashed line has a slope of -1/3 and a y-intercept of 2. Its equation is
  y = -1/3x + 2
The shaded area is above the line, so it is the boundary of the inequality
  y > -1/3x + 2
or
  x +3y > 6

The graph seems to represent the inequalities
  x +3y > 6 and y ≥ 2x +4
6 0
3 years ago
Read 2 more answers
What is the value of X?
Snezhnost [94]
The correct answer would be B. 72 degrees
8 0
3 years ago
Read 2 more answers
Please I need help badly I also have stuff on my account
snow_lady [41]

Answer:

B) y = 1/5x + 12/5

Step-by-step explanation:

2 = 1/5(-2) + b

2 = -0.4 + b

2.4 = b

2.4 = 12/5

7 0
3 years ago
a total of 24 students are in alfred's class. the number of girls in the class is 3 more than twice the number of bullies write
Yuki888 [10]
Boys= n
Girls= 2n +3

n +2 n +3 = 3n+3

24-3= 3n
21= 3n
21/3= n
n=7
There are 7 boys in the class and 17 girls
7 0
3 years ago
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