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faltersainse [42]

3 years ago

15

Find the number of real number solutions for the equation. x2 + 5x + 7 = 0

1 answer:

horsena [70]3 years ago

6 0

X=-1
-1x2 + 5x-1 +7 = 0
-7+7 =0
0=0

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Learn with an example

Marina86 [1]

Answer:

$\large{\textbf{f(g(x)) = 20}\\}$

Step-by-step explanation:

$\large{\textup{Given}:\\$f(x) = 5x $ \hspace{5mm} \& \hspace{5mm} $g(x) = 4x $\\$$ f \circ g(x) = f(g(x)) $$\\$ \implies f(g(x)) = f(5x) $\\\textup{i.e., To substitute $5x$ instead of $x$ in $f(x)$}\\$\implies f(5(x)) = 4(5(x)) = 20x \\ $\textup{Now,}$f(g(1)) = 20(1) =20$}$

7 0

3 years ago

The value of x is .... ?

alexira [117]

Answer: 96

Step-by-step explanation:

4 0

3 years ago

A class survey in a large class for first-year college students asked, “About how many minutes do you study on a typical weeknig

Anika [276]

Answer: (110.22, 125.78)

Step-by-step explanation:

The confidence interval for the population mean is given by :-

$\mu\ \pm z_{\alpha/2}\times\dfrac{\sigma}{\sqrt{n}}$

Given : Sample size = 463

$\mu=118\text{ minutes}$

$\sigma=65\text{ minutes}$

Significance level : $\alpha=1-0.99=0.01$

Critical value : $z_{\alpha/2}=z_{0.005}=\pm2.576$

We assume that the population is normally distributed.

Now, the 90% confidence interval for the population mean will be :-

$118\ \pm\ 2.576\times\dfrac{65}{\sqrt{463}} \\\\\approx118\pm7.78=(118-7.78\ ,\ 118+7.78)=(110.22,\ 125.78)$

Hence, 99% confidence interval for the mean study time of all first-year students = (110.22, 125.78)

3 0

3 years ago

Jane borrowed a total of 23000 from 2 different banks to start a Business One bank charge the equivalent of 5% simple interest a

krek1111 [17]

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4 0

3 years ago

Priya and Han both factored the number 80. Priya says they should both get the same answer even if they started with different f

meriva

Answer:

Priya is right.

Step-by-step explanation:

The factors of 80 is 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

The factor pairs of 80 are

1 x 80, 2 x 40, 4 x 20, 5 x 16 and 8 x 10

If Priya picks 2 x 40, then it's prime factorisation will be, 2 x 2 x 2 x 2 x 5 = 2⁴ x 5.

If Han picks, 5 x 16 = 5 x 2 x 2 x 2 x 2 = 5 x 2⁴ = 2⁴ x 5. This is the same.

Therefore, Priya is correct, because the factors of 80 are always the same, therefore which ever you start with, you'd always get the same answer.

4 0

2 years ago