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3 years ago

Factoring a trinomial

Mathematics

2 answers:

erastovalidia [21]3 years ago

8 0

Answer:

8(y + 3)(y + 4)

Step-by-step explanation:

Factor out 8 from each term

= 8(y² + 7y + 12) ← factor the quadratic

Consider the factors of the constant term (+ 12) which sum to give the coefficient of the y- term (+ 7)

The factors are + 3 and + 4, since

4 × 3 = 12 and 4 + 3 = 7, hence

y² + 7y + 12 = (y + 3)(y + 4), and

8y² + 56y + 96 = 8(y + 3)(y + 4) ← in factored form

Setler79 [48]3 years ago

5 0

Answer:

Answer is 8(y + 4)(y + 3) when you factor it.

Step-by-step explanation:

You might be interested in

What is the factored form of the polynomial ? X^2+9x+20

Blababa [14]

The answer is (x+4)(x+5)

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4 years ago

If log10(x^{2}y^{3})=7 and log10 (x/y)=1 , then x=__ and y= __

yuradex [85]

Answer:

$x=100$

$y=10$

Step-by-step explanation:

we are given

$log_1_0(\frac{x}{y})=1$

Firstly, we will get rid of log

so, we will take exponent over 10 on both sides

$10^{log_1_0(\frac{x}{y})}=10^{1}$

now, we can simplify it

$\frac{x}{y}=10$

now, we can solve for x

$x=10y$

we are given

$log_1_0(x^2y^3)=7$

Firstly, we will get rid of log

so, we will take exponent of 10 on both sides

$10^{log_1_0(x^2y^3)}=10^7$

$x^2y^3=10^7$

now, we can plug back x from first equation

$(10y)^2y^3=10^7$

now, we can solve for y

$100y^5=10000000$

$\frac{100y^5}{100}=\frac{10000000}{100}$

$y^5=100000$

now, we can take radical 5

$y=\sqrt[5]{100000}$

$y=10$

now, we can find x

$x=10\times 10$

$x=100$

So, solution is

$x=100$

$y=10$

4 0

4 years ago

PLEASE ANSWER RIGHT AEAY

madam [21]

Answer:

$y=Sin(x-\frac{\pi}{4})$

Step-by-step explanation:

The basic graph of y = Sin(x), starts at x = 0.

Looking at the graph, the basic sin curve starts at x = π/4

So this function is the parent sin function shifted π/4 units to the right.

Note:

y = Sin(x-a) is the parent function ( y= Sinx) shifted a units right

y = Sin(x+a) is the parent function shifted a units left

Since this function is shifted π/4 units right, the equation would be:

y = Sin (x-π/4)

The third answer choice is right.

5 0

3 years ago

In golf, the lowest score wins. If you can hit the ball into the hole in fewer strokes than par, you receive a negative score fo

Leto [7]

C

If Nelson’s score was -4, he took 4 strokes less than par. His score was 68
Erwin has 1 more point than Nelson. The person with the most points loses, so Nelson won by 1 stroke.

3 0

4 years ago

A tire manufacturer is interested in testing the fuel economy for two different tread patterns. Tires of each tread type are dri

Minchanka [31]

Using the t-distribution, it is found that the 99% confidence interval for the difference is (0.058, 3.462).

We are given the standard deviation for the samples, hence, the t-distribution is used to solve this question.

The standard errors are given by:

$s_A = \frac{1.79}{\sqrt{18}} = 0.4219$

$s_B = \frac{1.95}{\sqrt{18}} = 0.4596$

For the distribution of differences, the mean and the standard error are given by:

$\overline{x} = \mu_A - \mu_B = 23.95 - 22.19 = 1.76$

$s = \sqrt{0.4219^2 + 0.4596^2} = 0.6239$

The interval is given by:

$\overline{x} \pm ts$

The critical value for a two-tailed 99% confidence interval with 18 + 18 - 2 = 34 df is t = 2.7284.

Then:

$\overline{x} - ts = 1.76 - 2.7284(0.6239) = 0.058$

$\overline{x} + ts = 1.76 + 2.7284(0.6239) = 3.462$

The 99% confidence interval for the difference is (0.058, 3.462).

For more on the t-distribution, you can check brainly.com/question/16162795

3 0

3 years ago