All categories

1 year ago

Solve for x in the equation x squared minus 14 x + 31 = 63.

Mathematics

2 answers:

Bumek [7]1 year ago

8 0

Answer: X = 2.28

Step-by-step explanation:

-31 from both sides (The positive 31 and 63)

= 14x = 32 then divide both sides by 14

14x divided by 14 is x and 32 divided by 14 is like 2.28

x=2.28

algol [13]1 year ago

3 0

X=16 14 times + 31=63

You might be interested in

Explain how knowing 1+7 helps you find the sum for7+1

ss7ja [257]

1+7 and 7+1 are the same equations. The numbers are just switched around .
Example:
1+2=3
2+1+3

<span>They add up to the same answer no matter where they are placed, therefore knowing 1+7 helps you find the sum of 7+1 (again, because they are the same) </span>

8 0

1 year ago

What is the greatest common factor of 33,15

Artemon [7]

the answer should be 3

3 0

1 year ago

Read 2 more answers

Use Simpson's Rule with n = 10 to estimate the arc length of the curve. Compare your answer with the value of the integral produ

SOVA2 [1]

$y=\ln(6+x^3)\implies y'=\dfrac{3x^2}{6+x^3}$

The arc length of the curve is

$\displaystyle\int_0^5\sqrt{1+\frac{9x^4}{(6+x^3)^2}}\,\mathrm dx$

which has a value of about 5.99086.

Let $f(x)=\sqrt{1+\frac{9x^4}{(6+x^3)^2}}$ . Split up the interval of integration into 10 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], ..., [9/2, 5]

The left and right endpoints are given respectively by the sequences,

$\ell_i=\dfrac{i-1}2$

$r_i=\dfrac i2$

with $1\le i\le10$ .

These subintervals have midpoints given by

$m_i=\dfrac{\ell_i+r_i}2=\dfrac{2i-1}4$

Over each subinterval, we approximate $f(x)$ with the quadratic polynomial

$p_i(x)=f(\ell_i)\dfrac{(x-m_i)(x-r_i)}{(\ell_i-m_i)(\ell_i-r_i)}+f(m_i)\dfrac{(x-\ell_i)(x-r_i)}{(m_i-\ell_i)(m_i-r_i)}+f(r_i)\dfrac{(x-\ell_i)(x-m_i)}{(r_i-\ell_i)(r_i-m_i)}$

so that the integral we want to find can be estimated as

$\displaystyle\sum_{i=1}^{10}\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx$

It turns out that

$\displaystyle\int_{\ell_i}^{r_i}p_i(x)\,\mathrm dx=\frac{f(\ell_i)+4f(m_i)+f(r_i)}6$

so that the arc length is approximately

$\displaystyle\sum_{i=1}^{10}\frac{f(\ell_i)+4f(m_i)+f(r_i)}6\approx5.99086$

5 0

2 years ago

Kiesha’s quality-control manager told her she must have 97% of her clocks functioning properly. She found a report that said 6 o

Lena [83]

Answer:

Step-by-step explanation:

Kiesha will have more than 97% of the products working.

Kiesha’s experimental probability is 1/50

When the inventory is 4000 clocks, the prediction is that 3920 clocks will work.

4 0

2 years ago

Read 2 more answers

Grandma is trying out a new recipe for raisin bread. Each batch of bread dough makes three loaves, and each loaf contains 15 sli

Tom [10]

Answer:

0.108

Step-by-step explanation:

Using the poisson probability process :

Where :

P(x =x) = (e^-λ * λ^x) ÷ x!

Given that :

Each batch of bread = 3 loaves

Each loaf = 15 slices

Total slice per batch = 15 * 3 = 45 slices

Number of raising added = 100

Average number of raisin per slice, λ = 100/45 = 20/9

Hence,

Probability that a randomly chosen slice has no raising :

P(x = 0) = (e^-λ * λ^x) ÷ x!

P(x = 0) = (e^-(100/45) * (100/45)^0) ÷ 0!

P(x = 0) = (0.1083680 * 1) / 1

P(x = 0) = 0.108

8 0

2 years ago