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Marianna [84]
4 years ago
7

1. Solve the equation: 4x = –36 (1 point)

Mathematics
1 answer:
horsena [70]4 years ago
3 0
1. x= -36:4
x= -9

2. 5x= 50+15
    5x=65
    x=65:5
    x=13

3. 4(x+2)=35+17
    4(x+2)=52
    x+2=52:4
    x+2=13
    x=13-2
    x=11

4. 6x-4x= -18-12
     2x= -30
     x= -30 :2
     x= -15

5. (4x-10):2 +5= x-11
      2x-5+5=x-11
       2x=x-11
       2x-x=-11
       x= -11
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3 years ago
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5 0
3 years ago
The perimeter of a rectangular field is 60 meters. Its area is 200 square meters. Find its dimensions.
Vanyuwa [196]

Answer:

20 m by 10 m

Step-by-step explanation:

let w be width and l be length , then

2(l + w) = 60 ( divide both sides by 2 )

l + w = 30 ( subtract w from both sides )

l = 30 - w → (1)

lw = 200 → (2)

Substitute l = 30 - w into (2)

w(30 - w) = 200 ← distribute parenthesis on left side

30w - w² = 200 ( subtract 200 from both sides )

30w - w² - 200 = 0 ( multiply through by - 1 )

w² - 30w + 200 = 0 ← in standard form

(w - 10)(w - 20) = 0 ← in factored form

Equate each factor to zero and solve for w

w - 10 = 0 ⇒ w = 10

w - 20 = 0 ⇒ w = 20

Substitute these values into (1)

l = 30 - 10 = 20

l = 30 - 20 = 10

dimensions of field is 20 m by 10 m

4 0
3 years ago
Read 2 more answers
If h(x)=(fog)(x) and h(x) = sqrt x+5, find g(x) if f(x) = sqrtx+2
Katen [24]

Answer: The value of g(x) is x+3.

Step-by-step explanation:

Since we have given that

h(x)=f\circ g(x)

Here,

h(x)=\sqrt{x+5}\\\\and\\\\f(x)=\sqrt{x+2}

We need to find the value of g(x):

f(x)=\sqrt{x+2}\\\\f(g(x))=\sqrt{g(x)+2}\\\\h(x)=\sqrt{g(x)+2}\\\\\sqrt{x+5}=\sqrt{g(x)+2}\\\\x+5=g(x)+2\\\\g(x)=x+5-2=x+3

Hence, the value of g(x) is x+3.

3 0
4 years ago
Which system of equations can be graphed to find the solution(s) to 4x2 = x2 + 7?
Darina [25.2K]

Answer:

See explanation

Step-by-step explanation:

To solve the equation 4x^2 =x^2+7 graphically, we need to consider left and right parts of this equation separately.

Left side gives us the function y=4x^2. The graph of this function is shown with green curve in attached diagram.

Right side gives us the function y=x^2+7. The graph of this function is shown with blue curve in attached diagram.

The x-coordinates of the points of their intersections are the solutions to the equation 4x^2 =x^2+7

From the graph you can see that the solutions are

x_1\approx -1.528\\ \\x_2\approx 1.528

5 0
4 years ago
Read 2 more answers
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