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3 years ago

12

What property describes 6 + 0 = 6

1 answer:

Pachacha [2.7K]3 years ago

3 0

This would be the identity property.

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Luden [163]

Answer:

Step-by-step explanation:

Distance=400+200=600km

diplacement=x 200-0km=200km

total distance travelled=400+400=800km

7 0

3 years ago

Solve 5x^2+2x=1 using either factoring, square root method, completing the square or quadratic formula.

wolverine [178]

Answer:

x = -1 ± √6 / 5

Step-by-step explanation:

Solve $5x^{2}$ + 2x = 1

move 1 to the left side of the equation by subtracting it from both sides.

$5x^{2}$ + 2x - 1 = 0

Use the quadratic formula to find the solutions.

-b± $\sqrt{b^2 - 4 (ac)}$ / 2a

Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x

-2± $\sqrt{2^2 - 4(5 - 1)}$ / 2 ⋅ 5

Simplify.

x = -2 ± 2 $\sqrt{6}$ / 10

x = -1 ± $\sqrt{6}$ / 5

Exact Form:

x = -1 ± $\sqrt{6}$ / 5

4 0

3 years ago

Foil: (x+9)(3x-4)

QveST [7]

QUESTION 1

The given binomial is;

$(x+9)(3x-4)$

First terms are multiplied: $x\times 3x=3x^2$

Outside terms are multiplied: $x\times -4=-4x$

Inside terms are multiplied: $9\times 3x=27x$

Last terms are Multiplied: $9\times -4=-36$

This gives us;

$=3x^2-4x+27x-36$

$=3x^2+23x-36$

QUESTION 2

We want to factor

$6r^5s+4r^4s^2-8r^2s$

The HCF is $2r^2s$

We factor to get;

$2r^2s(3r^3+2r^2s-4)$

QUESTION 3;

$x^2+x-2=0$

Split the middle term;

$x^2+2x-x-2=0$

Factor

$x(x+2)-1(x+2)=0$

$(x+2)(x-1)=0$

$(x+2)=0,(x-1)=0$

$x=-2,x=1$

The solutions are;

$x=-2$ and $x=1$

These are the x-intercepts of the graph of the function

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

3 0

4 years ago

The population of bacteria can be modeled by the function below, where t represents the time since the population started decayi

Oksana_A [137]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

$f(t) = 15(0.86)^t$

Required

Determine the rate of decay

In an exponential function $f(x) = ab^x$ ,

The decay rate of the function is calculated as:

$1 - r = b$

By comparison:

$b = 0.86$

So, the equation becomes:

$1 - r = 0.86$

Make r the subject

$r = 1 - 0.86$

$r = 0.14$

<em>The rate of decay is 0.14</em>

3 0

3 years ago

Find the inverse function

Troyanec [42]

The inverse of the function is f(x) = $x^{3}$ + 8

In order to find the inverse of any function, start by switching the f(x) and x. Then solve for the new f(x). The result will be the inverse function. The work is below for you.

f(x) = $\sqrt[3]{x - 8}$ ----> Switch f(x) and x

x = $\sqrt[3]{f(x) - 8}$ ----> Cube both sides

$x^{3}$ = f(x) - 8 ----> Add 8 to both sides

f(x) = $x^{3}$ + 8

4 0

3 years ago