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3 years ago

How can i write the slope-intercept form of this equation, y=-5/2(x-2)?

Mathematics

1 answer:

serg [7]3 years ago

6 0

Answer:

y= -5/2+5

Step-by-step explanation:

Slope intercept form y=mx+b

y= -5/2(x-2)

y= -5/2x+10/2

y=-5/2x+5

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Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

nlexa [21]

Answer:

(B) x + 4y = 7

Step-by-step explanation:

8 0

3 years ago

Sonja's house is 4 blocks west and 1 block south of the center of town. Her school is 3 blocks east and 2 blocks north of the ce

dexar [7]

If the center of town is the origin then 4 blocks west and 1 block south would be 4 blocks to the left and 1 block down or (-4, -1) house 3 block east and 2 blocks north would be 3 blocks to the right and 2 blocks up or (3, 2) use the distance formula to find the distance between two points. That's all I know! hope this helps!~ just remember to use the distance formula to find the distance between two points.

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3 years ago

Read 2 more answers

Plz help. I need number 6 and 7

Cerrena [4.2K]

80 possible 2 digit passwords
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4 years ago

The length of time needed to complete a certain test is normally distributed with mean 46 minutes and standard deviation 6 minut

madam [21]

Answer:

0.0668 or 6.68%

Step-by-step explanation:

Mean time (μ)= 46 minutes

Standard deviation (σ) = 6 minutes

The z-score for any given time X is determined by:

$z=\frac{X-\mu}{\sigma}$

For X = 37:

$z=\frac{37-46}{6}\\ z=-1.5$

A z-score of -1.5 corresponds to the 6.68th percentile of a normal distribution. The probability that it will take less than 37 minutes to complete the test is

$P(X\leq 37) = 0.0668=6.68\%$

The probability is 0.0668 or 6.68%

3 0

3 years ago

Using the Rational Root Theorem, what are all the rational roots of the polynomial f(x) = 20x4 + x3 + 8x2 + x – 12?

igomit [66]

Answer:

Option 1 is correct.

Step-by-step explanation:

The given polynomial is

$f(x)=20x^4+x^3+8x^2+x-12$

we have to find all the rational roots of the polynomial f(x)

The Rational Root Theorem states that the all possible roots of a polynomial are in the form of a rational number i.e in the form of $\frac{p}{q}$

where p is a factor of constant term and q is the factor of coefficient of leading term.

In the given polynomial the constant is -12 and the leading coefficient is 20.

$\text{All possible factor of -12 are }\pm1,\pm2, \pm3, \pm4,\pm6,\pm12$

$\text{All possible factor of 20 are }\pm1,\pm2,\pm4,\pm5,\pm10,\pm20$

So, the all possible rational roots of the given polynomial are,

$\pm1,\pm2, \pm3, \pm4,\pm6,\pm12,\pm\frac{1}{2},\pm\frac{3}{2},\pm\frac{1}{4},\pm\frac{3}{4},\pm\frac{1}{10},\pm\frac{1}{5},\pm\frac{3}{5},\pm\frac{3}{10},\pm\frac{2}{5},\pm\frac{6}{5},\pm\frac{1}{20},\pm\frac{3}{20},\pm\frac{4}{5},\pm\frac{12}{5}$

Now, the rational roots of polynomial satisfy the given polynomial

$f(-\frac{4}{5})=20(-\frac{4}{5})^4+(-\frac{4}{5})^3+8(-\frac{4}{5})^2-\frac{4}{5}-12=\frac{256}{625}\times 20-\frac{64}{125}+\frac{128}{125}-\frac{4}{5}-12$