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ololo11 [35]
3 years ago
15

Solve the equation x2+11x-15=0, give ans to two dp.

Mathematics
1 answer:
Charra [1.4K]3 years ago
8 0
Im going to assume you know the formula.
sooo.
x= -11 +- √ (11)² -4 (1) (-15)
     --------------------------------- 
          2(1)

= -11 +- √121- (-60)
  -------------------------
              2

= -11 +- √181
   -----------------
            2

= -11 +- 13.45
   -----------------
             2

Either:                                                Or:
                                                          X = -11 - 13.45
  x = -11 + 13.45                                       ---------------
                                                                        2
       ----- ----------                               
              2       
   x = 1.23                                           x= -12.23
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Carpeting costs $9.99 a yard. If Jan buys 17.4 yards, how much will it cost her? (Round your answer to the nearest hundredth)
slega [8]

Answer:

173.83

Step-by-step explanation:

17.4*9.99= 173.826

173.826 -> 173.83

8 0
3 years ago
John and Emily are brother and sister. John has as many brothers as sisters, and Emily has twice as many brothers as sisters. Ho
spin [16.1K]

Answer:

4 boys, 3 girls

Step-by-step explanation:

brothers of John ⇒ x

sisters of John ⇒ y

John has as many brothers as sisters:

  1. x = y

brothers of Emily ⇒ x + 1 (Emily have the same amount of brother as John, plus one (John))

sisters of Emily ⇒ y -1 (Emily have the same amount of sister as John, minus one (herself))

Emily has twice as many brothers as sisters:

  1. 2 (y-1) = x+ 1

Now we have a system of 2 equations and 2 variables

x=y (I)

2y - 2 = x + 1 (II)

____________

Replace x in equation II

2y - 2 = y + 1

2y - y = 2 + 1

y = 3

____________

Replace y in equation I

x = y = 3

That mean that John have 3 brothers plus himself, there is 4 boys in the family and John have 3 sister, so there is 3 girls in the family

8 0
4 years ago
Container is shaped like a triangular prism. 3 cm 5 cm
Marianna [84]

ANSWER

A=222\operatorname{cm}

EXPLANATION

A) From the diagram, we see that the base of the triangular face is 4 cm long and the height of the triangular face is 3 cm.

B) From the diagram, we see that the length of two of the rectangular face is 15 cm and the width of the rectangular face is 5 cm.

The third rectangular face has a length of 15 cm and a width of 4 cm.

C) The surface area of the prism is the sum of the areas of the faces of the prism.

The area of a triangle is given as:

A=\frac{1}{2}\cdot b\cdot h

where b = base, h = height

The area of a rectangle is given as:

A=l\cdot w

where l = length, w = width

Therefore, the surface area of the prism is:

\begin{gathered} A=2(\frac{1}{2}\cdot4\cdot3)+2(15\cdot5)+(15\cdot4) \\ A=12+150+60 \\ A=222\operatorname{cm}^2 \end{gathered}

4 0
1 year ago
You lost your cell phone and have to use a phone booth. The call will cost $0.25 for the first minute and
ElenaW [278]

Answer:

4 minutes

Step-by-step explanation:

make equation

0.25+(0.15x)= 0.85

solve for x

0.15x= 0.60

x=4

7 0
3 years ago
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Answer:

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3 years ago
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