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2 years ago

Which equation represents the standard form of the equation y= (x + 3)² - 4?

Mathematics

1 answer:

lilavasa [31]2 years ago

4 0

Answer:

The answer is B. $y = x^2 + 6x + 5$

Step-by-step explanation:

Because $y = (x + 3)^2 - 4 = x^2 + 6x + 9 - 4 = x^2 + 6x + 5$

So the answer in this question is B.

You might be interested in

Determine whether the following lines represented by the vector equations below intersect, are parallel, are skew, or are identi

KiRa [710]

Answer:

r(t) and s(t) are parallel.

Step-by-step explanation:

Given that :

the lines represented by the vector equations are:

r(t)=⟨1−t,3+2t,−3t⟩

s(t)=⟨2t,−3−4t,3+6t⟩

The objective is to determine if the following lines represented by the vector equations below intersect, are parallel, are skew, or are identical.

NOTE:

Two lines will be parallel if $\dfrac{x_1}{x_2}= \dfrac{y_1}{y_2}= \dfrac{z_1}{z_2}$

here;

$d_1 = (-1, \ 2, \ -3)$

Thus;

$r(t) = \dfrac{x-1}{-1} = \dfrac{y-3}{2}=\dfrac{z-0}{-3} = t$

$d_2 =(2, \ -4, \ +6)$

$s(t) = \dfrac{x-0}{2} = \dfrac{y+5}{-4}=\dfrac{z-3}{6} = t$

∴

$\dfrac{d_1}{d_2}= \dfrac{-1}{2} = \dfrac{2}{-4}= \dfrac{-3}{-6}$

Hence, we can conclude that r(t) and s(t) are parallel.

6 0

3 years ago

Suppose you deposit $1000 in a college fund that pays paid interest quarterly instead of annually. Find the account balance afte

BartSMP [9]

Answer:

$1,161.18 (assuming if interest rate is 3%)

Step-by-step explanation:

Kindly check the attached picture for explanation

3 0

3 years ago

Convert 35 inches to yards. Explain or show how you got your answer.

Gwar [14]

Answer:

0.972222 yards

Step-by-step explanation:

35/36= 0.972222

7 0

3 years ago

The physical plant at the main campus of a large state university recieves daily requests to replace florecent lightbulbs. The d

jek_recluse [69]

Answer:

50%

Step-by-step explanation:

68-95-99.7 rule

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$

95% of all values lie within the 1 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$

99.7% of all values lie within the 1 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$

The distribution of the number of daily requests is bell-shaped and has a mean of 55 and a standard deviation of 4.

$\mu = 55\\\sigma = 4$

68% of all values lie within the 1 standard deviation from mean $(\mu-\sigma,\mu+\sigma)$ = $(55-4,55+4)$ = $(51,59)$

95% of all values lie within the 2 standard deviation from mean $(\mu-1\sigma,\mu+1\sigma)$ = $(55-2(4),55+2(4))$ = $(47,63)$

99.7% of all values lie within the 3 standard deviation from mean $(\mu-3\sigma,\mu+3\sigma)$ = $(55-3(4),55+3(4))$ = $(43,67)$

Refer the attached figure

P(43<x<55)=2.5%+13.5%+34%=50%

Hence The approximate percentage of light bulb replacement requests numbering between 43 and 55 is 50%

4 0

3 years ago

Which division sentence is related to the product of a/3 (a/3) when A is not equal to 0?

Anon25 [30]

Answer:

Option 4.

Step-by-step explanation:

Reciprocal of the second fraction turns the product into the division of the two fractions, which equals to 1.

$a/3(a/3)$

$a/3 \div 3/a=1$

Two fractions are said to be the reciprocal or multiplicative inverse of each other, if their product is 1.

3 0

3 years ago