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-BARSIC- [3]
3 years ago
12

Write an equation in standard form that has a slope of 1/4 and crosses through the point (4, 3).

Mathematics
1 answer:
qaws [65]3 years ago
8 0

slope intercept form

y -y1 = m(x-x1)

y-3 =1/4 (x-4)

distribute

y-3 =1/4 x-1

stand form of a line is Ax +by =c

so subtract 1/4 x from each side

y -3 -1/4 x =-1

add 3 to each side

y-1/4 x =2

-1/4 x +y =2

I would multiply by -4 on both sides to make the 1st term positive and get rid of the fraction

x -4y = -8


Find the slope of the line that crosses through the points (-3, -4) and (2, -3).

slope = (y2-y1)/(x2-x1)

m = (-3--4)/(2--3)

m = (-3+4)/(2+3)

m =(1/5)

m=1/5

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How do you determine where f(x)=cos^(-1)(lnx) is continuous?
olga nikolaevna [1]
\ln x is continuous over its domain, all real x>0.

Meanwhile, \cos^{-1}y is defined for real -1\le y\le1.

If y=\ln x, then we have -1\le \ln x\le1\implies \dfrac1e\le x\le e as the domain of \cos^{-1}(\ln x).

We know that if f and g are continuous functions, then so is the composite function f\circ g.

Both \cos^{-1}y and \ln x are continuous on their domains (excluding the endpoints in the case of \cos^{-1}y), which means \cos^{-1}(\ln x) is continuous over \dfrac1e.
7 0
3 years ago
The owner of a local nightclub has recently surveyed a random sample of n = 250 customers of the club. She would now like to det
seraphim [82]

Answer:

The required hypothesis to test is H_0: \mu\leq 30 and H_1: \mu>30.

Step-by-step explanation:

Consider the provided information.

It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.

She would now like to determine whether or not the mean age of her customers is over 30.

Null hypotheses is represents as H_0. Thus the null hypotheses is shown as:

H_0: \mu\leq 30

The alternative hypotheses is represents as H_1. Thus the alternative hypotheses is shown as:

H_1: \mu>30

Hence, the required hypothesis to test is H_0: \mu\leq 30 and H_1: \mu>30.

8 0
3 years ago
Suppose Aldo borrows $5500 at an interest rate of 9% compounded each year assume that no payments are made on the loan how much
ollegr [7]
11,990

9% of 5500 is 495
(495+5500) [one year] x 2 [two years] = $11,990

At the end of 2 years, Aldo will owe $11,990.
3 0
3 years ago
analyze the diagram below and complete the instructions that follow. find the value of x and the value of y
Aleks [24]
Answers:
x = 2√2 units
y = 2√6 units

Explanation:
The given diagram is a right-angled triangle. This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

For getting x and y, we can choose to either work with θ = 30 or θ = 60.
I will work with 30.

1- For x:
We have:
θ = 30
x is the opposite side to θ
4√2 is the hypotenuse
Therefore, we can apply the sine function as follows:
sin θ = opposite / hypotenuse
sin (30) = x / 4√2
x = sin (30) * 4√2
x = 2√2 units

2- For y:
We have:
θ = 30
x is the adjacent side to θ
4√2 is the hypotenuse
Therefore, we can apply the cosine function as follows:
cos θ = adjacent / hypotenuse
cos (30) = y / 4√2
y = cos (30) * 4√2
y = 2√6 units

Hope this helps :)


8 0
3 years ago
Read 2 more answers
Can someone help me?<br> (A) 1.5<br> (B) 3<br> (C) 4.5<br> (D) 6
zhenek [66]

Find the horizontal distance of 230 and find the Vertical distance , which is where the black dot is located.

The black dot is on 49 inches.

Now find the vertical distance f the black line at horizontal 230: This is on 47.5.

The difference between the two is : 49 - 47.5 = 1.5

The answer would be A. 1.5

6 0
3 years ago
Read 2 more answers
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