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DiKsa [7]
4 years ago
12

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Simplify.

Mathematics
2 answers:
uranmaximum [27]4 years ago
8 0

Answer:   \bold{B)\ \dfrac{x-2}{x+1}}

Step-by-step explanation:

Factor the numerator (top of fraction) and denominator (bottom of fraction).  Then cancel out the common factor.

To factor, find two numbers whose product is the c-value and sum is the b-value.

x² + 5x - 14

              ∧

           -1 +14 = 13

           -2 +7 = 5    this works!

                             So, x² + 5x - 14 = (x - 2)(x + 7)

x² + 8x + 7

              ∧

           1 +7 = 8    this work!

                           So, x² + 8x + 7 = (x + 1)(x + 7)

\dfrac{x^2+5x-14}{x^2+8x+7}=\dfrac{(x+7)(x-2)}{(x+7)(x+1)}=\dfrac{x-2}{x+1}

nikdorinn [45]4 years ago
4 0
X^2+5x-14 = (x+7)(x-2)
X^2+8x+7=(x+7)(x+1)

(X+7) crosses out

Answer x-2 /x+1
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Reduction 1/3 I believe
3 0
3 years ago
Please help I’m a bit confused on this I appreciate answers!
Afina-wow [57]

Answer:

(2x^3)^3=8\cdot x^{9}

Step-by-step explanation:

<u>Properties of Exponents</u>

The property called Power to a Power shows us how to simplify expressions of the type:

(x^n)^m=x^{n*m}

Similarily the property called Power of a product simplifies expressions like:

(x.y)^n=x^n.y^n

The company mentioned in the question uses the expression

(2x^3)^3

millimeters per second to calculate the maximum capacity of a photocell with an area of x^3 square millimeters.

First, use the power of a product property:

(2x^3)^3=2^3\cdot (x^3)^3

Now use the power to a power property:

(2x^3)^3=2^3\cdot x^{3*3}

Operate:

\mathbf{(2x^3)^3=8\cdot x^{9}}

5 0
3 years ago
How to graph -5x + y = 1
Cloud [144]

Answer:

look on the graph i gave you

Step-by-step explanation:

3 0
3 years ago
The diameter of a circleis 170inches. The circle has two chords of length 26 inches. What is the distance from each chord to the
vivado [14]

Answer:

Hence the Distance from each other chord to center  is 84 inches.

Step-by-step explanation:

Given:

Diameter =170 inches

2 chords with each length =26 inches.

To Find:

Distance of each chord from the circle.

Solution:

Consider a circle with center as O ,

And OA as Radius

(Refer the attachment)

So as chord be BC and DE respectively with each of 26 length

They have both same length so they should located at same distance from center but as mirror images of each other opposite side of the diameter as shown in fig.

Hence we can calculate for one chord as follows:

Radius =diameter/2=170/2=85

r=85 inches.

Let distance from center t o chord be 'x'

Now draw perpendicular to chord BC with F as midpoint for chord and join endpoints  of chord to the center which forms triangle OFC as right angled triangle,

By using pythagorus Theorem

OC^2=FC^2+OF^2

Here OC=85 inches , FC=26/2=13 inches.

So

85^2=13^2+OF^2

OF^2=85^2 -13^2

OF^2=7225-169

OF^2=7056

OF=84 inches

Hence the Distance from each other chord to center  is 84 inches.

7 0
4 years ago
The amount of simple interest accrued on a sum of money varies jointly with the amount of money, the interest rate, and the time
ziro4ka [17]
Find the amount of the first one
P=168/0.04*3
P=1400
Use the in the second one to find the interest
I=1400*0.06*4
I=336
336 is double the amount of 168
So the answer is B
7 0
3 years ago
Read 2 more answers
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