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emmasim [6.3K]
3 years ago
14

Write a quadratic equation in factored form whose solutions are 7 and -5

Mathematics
2 answers:
inysia [295]3 years ago
7 0

\bf \stackrel{~~ solutions~\hfill }{ \begin{cases} x=7\implies &x-7=0\\ \cline{1-2} x=-5\implies &x+5=0 \end{cases}}\qquad \implies \stackrel{\textit{factored form}}{y=(x-7)(x+5)}

sergey [27]3 years ago
4 0

Answer:

y = (x - 7)(x + 5)

Step-by-step explanation:

Given the solutions are x = 7 and x = - 5 then the factors are

(x - 7) and (x + 5)

The quadratic equation is the product of the factors

(x - 7)(x + 5) = 0 ← in factored form

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Lena [83]

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Step-by-step explanation:

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3 0
3 years ago
A small pizza has an 8-in. Diameter a large pizza has a 15-in. Diameter. The pizzeria charges the same price per square inch for
vlabodo [156]

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

                A small pizza has an 8-inches in diameter

                A large pizza has a 15-inches in Diameter

                The small pizza cost $7

Step:1

                Area of smaller pizza,

                                        Area, A_{S} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{8}{2}

                                       r = 4 inches

                  Equation (1),

                                    A_{S} = \pi  4^{2}

                                          =(3.14)(16)                             ( ∵ \pi=3.14 )

                                          = 50.24 Square inches

Step:2

              Area of smaller pizza,

                                        Area, A_{L} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{15}{2}

                                       r = 7.5 inches

                  Equation (1),

                                    A_{S} = \pi  7.5^{2}

                                          =(3.14)(56.25)                             ( ∵ \pi=3.14 )

                                          = 176.625 Square inches

Step:3

            Cost of pizza per square meter,

                                                = \frac{Cost of small pizza}{Area of small pizza}

                                                =\frac{7}{50.24}

                                                = $ 0.1393 per square meter

                Cost of Larger pizza = Area of Larger pizza × Cost per square meter

                                                = (176.625)(0.139331)

                                                = $24.62

Result:

          The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

         

                                             

6 0
3 years ago
The table gives information about the heights, in cm, of some children.
marusya05 [52]
The mean height would be 155
6 0
3 years ago
Anyone wanna help me out??
Burka [1]

Answer:

  • 6955 ft

Step-by-step explanation:

  • <em>Refer to attached. Point J, segment BJ and angle measures added.</em>

<u>Step 1, find BJ</u>

  • BJ / AB = sin 20° ⇒ BJ = AB sin 20° ⇒ BJ = 600 sin 20° ≈ 205.2 ft

<u>Step 2, find BP</u>

  • BJ/BP = cos 75° ⇒ BP = BJ / cos 75° ⇒ BP = 205.2/cos 75° ≈ 792.8 ft

<u>Step 3, find PQ</u>

  • PQ/BP = sin 35° ⇒ PQ = BP sin 35° ⇒ PQ = 792.8 sin 35° ≈ 454.7 ft

<u>Step 4, find the elevation of peak P</u>

  • Height above sea level = 6500 + 454.7 ≈ 6955 ft (rounded)

5 0
2 years ago
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