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2 years ago

The equation x^2−8x−5=0 can be transformed into the equation (x−p)^2=q, where p and q are real numbers. What is the value of q?

Mathematics

1 answer:

Setler79 [48]2 years ago

3 0

Answer:

x = 5

x = 3

Step-by-step explanation:

The first term is, x2 its coefficient is 1 .

The middle term is, -8x its coefficient is -8 .

The last term, "the constant", is +15

Step-1 : Multiply the coefficient of the first term by the constant 1 • 15 = 15

Step-2 : Find two factors of 15 whose sum equals the coefficient of the middle term, which is -8 .

-15 + -1 = -16

-5 + -3 = -8

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7. Which of the verbal descriptions best matches the function below? <br><br> f(x)=0.02x+150

slega [8]

Gene earns 2% interest after depositing $150 into his account , Option D.

<h3>What is a Function ?</h3><h3 />

A function is a law that relates an independent variable and a dependent variable with each other.

The function given is

f(x) = 0.02 x +150

Option D , Gene earns 2% interest after depositing $150 into his account

So this verbal description matches the function given as it represents , the total account balance of Gene .

Therefore Option D is the correct answer.

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1 year ago

The cost, y, of red apples can be represented by the equation y = 2x, where x

Temka [501]

Answer:

red apples

Step-by-step explanation:

1 lb of green apples is 1.5

1 lb of red apples is 2

6 0

2 years ago

Rút gọn (x-4) (x-3) -x(x+5) +82

WINSTONCH [101]

Answer:

-12x + 94

Step-by-step explanation:

Simplify:

$\left(x-4\right)\left(x-3\right)-x\left(x+5\right)+82$

$=x^2-7x+12-x\left(x+5\right)+82$

$=x^2-7x+12-x^2-5x+82$

$=x^2-x^2-7x-5x+12+82$

$=-7x-5x+12+82$

$=-7x-5x+94$

$=-12x+94$

5 0

2 years ago

For the exponential equation <img src="https://tex.z-dn.net/?f=y%20%3D%203.4%280.66%29%5Ex" id="TexFormula1" title="y = 3.4(0.66

lisabon 2012 [21]

Answer:

Option: B is the correct answer.

B) Decay, y- intercept = 3.4, rate is 34%

Step-by-step explanation:

We are given an exponential equation as follows:

$y=3.4(0.66)^x$

We know that any exponential function of the type:

$y=ab^x$

is growth function if: b>1

and is a decay function if 0< b< 1

Hence, here we have: b=0.66<1

Hence, the function is a decay function.

Also, we know that the y-intercept of a function is the point where x=0

Hence, we take x=0

we have: $y=3.4\times (0.66)^0\\\\\\y=3.4$

Hence, the y-intercept is: 3.4

Also, the rate of a function is denoted by 'r'

where b=1-r

⇒ 0.66=1-r

⇒ r=1-0.66

⇒ r=0.34

Hence, the rate is: 34%

option: B is the correct answer.

4 0

2 years ago

(x − 2 + 2i)(x − 2 − 2i) in standard form

zhuklara [117]

Answer:

(x − 2 + 2i)(x − 2 − 2i) in standard form

7 0

3 years ago