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2 years ago

What is he slope of the line passing through the points (-1,3) and (4,-7) HELP ASAP

Mathematics

2 answers:

11Alexandr11 [23.1K]2 years ago

6 0

slope = (-7 - 3)/(4 + 1)

slope = -10 / 5

slope = -2

Answer

-2

morpeh [17]2 years ago

3 0

Answer:

The answer is M = -2

D) -2

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A vehicle factory manufactures cars. The unit cost C (the cost in dollars to make each car) depends on the number of cars made.

NeTakaya

Answer:

The minimum cost is $9,105

Step-by-step explanation:

To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it

∵ C(x) = 0.5x² - 130x + 17,555

- Differentiate it with respect to x

∴ C'(x) = (0.5)(2)x - 130(1) + 0

∴ C'(x) = x - 130

Equate C' by 0 to find x

∵ x - 130 = 0

- Add 130 to both sides

∴ x = 130

∴ The minimum cost is at x = 130

Substitute the value of x in C(x) to find the minimum unit cost

∵ C(130) = 0.5(130)² - 130(130) + 17,555

∴ C(130) = 9,105

∵ C(130) is the minimum cost

∴ The minimum cost is $9,105

4 0

2 years ago

Consider the given matrix. 1 −1 0 5 1 4 0 1 1 Find the eigenvalues. (Enter your answers as a comma-separated list.) λ = Find the

fomenos

Answer:

Step-by-step explanation:

We have to diagonalize the matrix

$\left[\begin{array}{ccc}1&-1&0\\5&1&4\\0&1&1\end{array}\right]$

we have to solve the expression

$|A-\lambda I|=0$

Thus, by applying the determinant we obtain the polynomial

$(1-\lambda )^3+5-4=0\\(1-\lambda )^3+1=0\\$

$-\lambda^3+3\lambda^2-4\lambda+2$

$\lambda_1=1\\\lambda_2=1-i\\\lambda_3=1+i\\$

and the eigenvector will be

$v_1=(-4,0,5)\\v_2=(-1,-i,-1)\\v_3=(-1,i,1)$

HOPE THIS HELPS!!

3 0

2 years ago

A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a

Mariana [72]

A medical researcher wants to investigate the amount of time it takes for patients' headache pain to be relieved after taking a new prescription painkiller. She plans to use statistical methods to estimate the mean of the population of relief times. She believes that the population is normally distributed with a standard deviation of 18 minutes. How large a sample should she take to estimate the mean time to within 4 minutes with 97% confidence?
-----
n = [z*s/E]^2
---

n = [2.17*18/4]^2 = 96 when rounded up

3 0

2 years ago

The Arizona Cardinals won ten games out

goldenfox [79]

Answer:

80 games

Step-by-step explanation:

10wins/16 games=50 wins/? games

10 times 5=50 so 16 times 5 =80

10.g=16.50

10/g=800/10

g=80 games

7 0

2 years ago

If a girl read 3/8 of a chapter book and another girl read 3/6 of a chapter book which girl read more pages

fredd [130]

Answer:

The girl which read 3/6 of a chapter book read more pages than the other girl.

Step-by-step explanation:

We need to compare between $\frac{3}{8} \ and \ \frac{3}{6}$

so, the denominator of both fractions should be the same number

Factor of 6 = 1 * 2 * * 3

Factor of 8 = 1 * 2 * 2 * 2

-------------------------------------------

The common denominator = 1 * 2 * 2 * 2 * 3 = 24

$\frac{3}{8} = \frac{3*3}{3*8} =\frac{9}{24} \\\frac{3}{6} = \frac{4*3}{4*6} =\frac{12}{24}$

Then compare between $\frac{9}{24} \ and \frac{12}{24} \\$

So, the fraction of the great numerator will be the great fraction

$\frac{12}{24} > \frac{9}{24}$

∴ $\frac{3}{6} > \frac{3}{8}$

==================================================

Another solution:

Convert both fractions to decimal:

3/8 = 0.375

3/6 = 0.5

0.5 > 0.375

===================================================

Third Solution:

As the numerators are equal

The fraction of least denominator is the great fraction

So, 3/6 > 3/8

3 0

2 years ago