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3 years ago

How to find the point-slope form for the slope of 6 and passing through(-7,1)

Mathematics

1 answer:

MariettaO [177]3 years ago

8 0

Answer: y-1=6(x+7)

Step-by-step explanation:

The formula for point-slope form is $y-y_1=m(x-x_1)$ . Since we are given the point and slope, we can directly plug them in.

$y-1=6(x-(-7))$ [distribute by -1]

$y-1=6(x+7)$

Now, we know that the point-slope form is y-1=6(x+7).

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Which system of inequalities has a solution set that is a line?

Korolek [52]

We're going to solve each of the systems to determine the solution.

System $1$

$x+y \geq 3\\ x+y \leq 3$

using a graph tool

the solution is the line $x+y=3$

see the attached figure N $1$

System $2$

$x+y \geq -3\\ x+y \leq 3$

using a graph tool

the solution is the shaded area

see the attached figure N $2$

System $3$

$x+y > 3\\ x+y < 3$

using a graph tool

The system has no solution

see the attached figure N $3$

System $4$

$x+y > -3\\ x+y < 3$

using a graph tool

the solution is the shaded area

see the attached figure N $4$

therefore

the answer is

System $1$ 

$x+y \geq 3\\ x+y \leq 3$

7 0

3 years ago

Read 2 more answers

What is the value of X that makes equation true? -5(2x - 3) + 4x = -3x + 6

Alisiya [41]

Answer:

x=3

Step-by-step explanation:

6 0

3 years ago

HELP Asap :-/!!!! AHHHHHHHHHHH

pychu [463]

Answer:

x = 9

Step-by-step explanation:

If ΔMNO ≅ ΔPST, their corresponding sides must also be ≅(congruent).

NO is corresponds to TS, thus sides NO and side TS are ≅.

=> 20 = 3x - 7

=> 3x = 27

=> x = 9

6 0

3 years ago

Medicare would like to test the hypothesis that the average monthly rate for one-bedroom assisted-living facility is equal to $3

aliina [53]

Answer:

C) more than the absolute value of the critical value, we can conclude that the average monthly rate for an assisted-living facility is not equal to $3,300.

Step-by-step explanation:

Hello!

Interest hypothesizes is " the average monthly rate for one-bedroom assisted-living facility is equal to $3300" symbolically: μ = 3300

The study variable is:

X: Monthly rate for a one-bedroom assisted-living facility.

Since there is no information about the distribution of the variable, to be able to study the population mean, I'll assume that the variable has a normal distribution.

The hypothesis is:

H₀: μ = 3300

H₁: μ ≠ 3300

α: 0.05

The statistic to use, considering that there is no known population information and the sample size, is a Student t:

t= X[bar] - μ ~ $t_{n-1}$

S/√n

n= 12

X[bar]= $3690

S= $530

Using the sample data, calculate the statistic value:

t= 3690 - 3300 = 2.549

530/√12

The rejection region for this test is two-tailed, with critical values:

$t_{n-1; \alpha /2} = t_{11; 0.025} = -2.201$

$t_{n-1;1-\alpha /2} = t_{11; 0.975} = 2.201$

The decision rule is:

Reject the null hypothesis if t ≤ -2.201 or if t ≥ 2.201

Not reject the null hypothesis if -2.201 < t < 2.201

Since the calculated value (2.549) is greater than the right critical value (2.201) the decision is to reject the null hypothesis.

With a signification level of 5%, there is enough evidence to reject the null hypothesis. This means that the population mean of the monthly rate for a one-bedroom assisted living facility is different from $3300.

I hope it helps!

7 0

3 years ago

A dilation has center (0, 0). Find the image of each point for the given scale factor.

pshichka [43]

Answer:

A. (−3,5)

Step-by-step explanation:

The rule for dilation by scale factor k is given by:

$(x,y)\to (kx,ky)$

The given point is P(-3,5) and the scale factor is k=1

We substitute the point and the scale factor into the rule to get:

$P(-3,5)\to P'(-3\times1,5\times1)$

This gives us:

$P(-3,5)\to P'(-3,5)$

The correct answer is A

3 0

3 years ago

How to find the point-slope form for the slope of 6 and passing through(-7,1)​

How to find the point-slope form for the slope of 6 and passing through(-7,1)