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2 years ago

Write a linear equation in point-slope form for the line that goes through (1, -3) and (3,9).

Mathematics

2 answers:

stealth61 [152]2 years ago

5 0

The answer would be six

dimaraw [331]2 years ago

3 0

The slope of the line is 6, meaning that you can eliminate A,C. Since the point slope formula is y-y1=m(x-x1) you just need to see if the points are correct.

B. (3,9)
D. (1,-3)

While these do contain one point, substitute the coordinates to see which contain both.

B.

(1,-3): -3-9=6(1-3): -12=-12
(3,9): 9-9=6(9-3): 0= 6(6)

D.

(1,-3): -3+3=6(1-1): 0=6(0); 0=0
(3,9): 9+3=6(3-1): 12=6(2): 12=12

D is correct since the coordinate are on the line.

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Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I

SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The calcium level that is the borderline between low calcium levels and those not considered low is $c = 8.68$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 9.5\ mg/dL$

The standard deviation $\sigma = 0.5 \ mg/dL$

The proportion of the population with low calcium level is $p =$ 5% = 0.05

Let X be a X random calcium level

Now the P(X < c) = 0.05

Here P denotes probability

c is population with calcium level at the borderline

Since the calcium level is normally distributed the z-value is evaluated as

$P(Z < \frac{c - \mu}{\sigma } ) = 0.05$

The critical value for 0.05 from the standard normal distribution table is

$t_{0.05} = -1.645$

=> $\frac{c - \mu}{\sigma } = -1.645$

substituting values

$\frac{c - 9.5}{0.5 } = -1.645$

=> $c - 9.5 = -0.8225$

=> $c = 8.68$

6 0

3 years ago

Bess [88]

Answer:

-7+12 will also give u 5 with a positive sign

8 0

2 years ago

jen wants to tile the floor of her kitchen. The floor is rectangular and measures 12 feet by 8 feet. if it costs $2.50 per squar

alexgriva [62]

Answer:

$240

Explanation:

12 × 8 = 96 _________ area in square feet

96 × 2.50 = 240 _________ in dollars

6 0

3 years ago

Suppose the system of linear equations has no solution. Which is NOT a possible value of the constant for the second equation?

Tom [10]

Answer:

A) 5

Step-by-step explanation:

The coefficients of the second equation are 1/3 of those of the first equation. If the constant of the second equation is also 1/3 of the constant of the first equation, then the equations are <em>dependent</em>, and will have an infinite number of solutions.

The constant must be something other than 1/3·15 = 5 to make the equations <em>inconsistent</em>, having no solutions.

4 0

2 years ago

Allushta [10]

Thanks for the helpful answers

5 0

2 years ago

Read 2 more answers