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3 years ago

4 times a number is 32 less than the square of that number. Find the negative solution.

Mathematics

1 answer:

zvonat [6]3 years ago

3 0

Answer:

The negative solution is -4

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁ - 8) = 0

(x₂ + 4) = 0

x₁ = 8

x₂ = -4

The negative solution is -4

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3 years ago

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jekas [21]

Answer:

8.9k

Step-by-step explanation:

We just have to add together the length of the three sides to find the perimeter of the triangle.

(1.8k-5)+(3.5+6.1k)+(k+1.5) = 1.8k-5+3.5+6.1k+k+1.5

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3 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

Step-by-step explanation:

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

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3 years ago

Need help

Colt1911 [192]

Answer:

r = $\frac{A + 32}{\pi }$

Step-by-step explanation:

A = πr-32

using algebraic manipulation to isolate r

A + 32 = πr-32 + 32

A + 32 = πr

(A+32)/π = πr/π

r = $\frac{A + 32}{\pi }$

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3 years ago

Find the value of this fraction 6 x 1/2 + 2/3 + 3/4

kodGreya [7K]

Answer:

$\frac{53}{12} or 4 \frac{5}{12}$

Step-by-step explanation:

$\frac{6}{1} \times \frac{1}{2} = 3$

$\frac{3}{1} + \frac{2}{3} + \frac{3}{4} = ...$

Find the common denominator, which is 12

$\frac{36}{12} + \frac{8}{12} + \frac{9}{12} =$

Now add them

$\frac{36}{12} + \frac{8}{12} = \frac{44}{12} + \frac{9}{12} = \frac{53}{12}$

Simplified version is

$4 \frac{5}{12}$

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3 years ago