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3 years ago

2x + 5 = 13 what is x

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

4 0

Answer:

Step-by-step explanation:

13 - 5 = 8

2 x 4 = 8

8 + 5 = 13

valkas [14]3 years ago

3 0

Answer:

x = 4

Step-by-step explanation:

it's important to keep in mind that you can do anything to an equation as long as you do it to both sides, and it will still be equal.

2x + 5 = 13

subtract 5 from both sides of the equation

2x + 5 -5 = 13 - 5

2x = 13 -5

2x = 8

divide both sides of the equation by 2

2x/2 = 8/2

x = 4

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Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

a garden is in the shape of a square with a perimeter of 60 feet. the garden is surrounded by two fences. one fence is around th

Anon25 [30]

Answer: The total cost of the fences=$165.6

Step-by-step explanation:

Let a = the length of the side if the square.

The perimeter of the square is 60 ft

4a = 60ft

divide both sides by

4a = 60/4

a = 15 ft

The garden is surrounded by two fences, one fence is around the perimeter of the garden, whereas the second fence is 3 feet from the first fence on the outside

Expand to get:

4*a + 4(a + 2*3)

Replace a with 15 to get:

= 4*15 + 4(15 + 6) 60 + 4(21) 60+84

= 144ft

The cost of the fence is $1.15 per foot

The cost of 144 ft fence will be:

= 144*1.15

= $165.6

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1 year ago

-7X>10 solve for x answer musr be simplifyed

Scrat [10]

Answer:

x < -10/7

Step-by-step explanation:

Divide both sides by -7. Because this divisor is negative, we must reverse the direction of the inequality sign, obtaining:

-7x < 10

----- < -----

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Then x < -10/7

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