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3 years ago

ASAP!! HEEELPPPP!!

Mathematics

1 answer:

alekssr [168]3 years ago

8 0

I believe the answer is B

Hope This Helps! Good Luck!!

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Write an equation for the line perpendicular to the line y= -2/3+7 which passes through the point (-5,6)

zysi [14]

Y = -2/3x + 7.....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. All tht means is take the original slope, flip it, and change the sign. So we take -2/3....flip it making it -3/2.....change the sign making it 3/2. So ur perpendicular line will have a slope of 3/2.

y = mx + b
slope(m) = 3/2
(-5,6)....x = -5 and y = 6
now sub and find b, the y int
6 = 3/2(-5) + b
6 = -15/2 + b
6 + 15/2 = b
12/2 + 15/2 = b
27/2 = b
so ur perpendicular equation is : y = 3/2x + 27/2 <==

8 0

3 years ago

Find the vertex for the equation: <br> y = 3x^2 + 18x + 30<br> (-3, 3)<br> (-3, -51)<br> (3, 111)

Papessa [141]

I think (-3, 3 ) !!!!!!!!!!!

8 0

3 years ago

Read 2 more answers

Which function represents a vertical stretch of an exponential function?

nika2105 [10]

Answer:

A. $f(x)=3(\frac{1}{2})^x$

Step-by-step explanation:

The options are:

$A. f(x)=3(\frac{1}{2})^x\\\\B. f(x)=\frac{1}{2}(3)^x\\\\C. f(x)=(3)^{2x}\\\\ D. f(x)=3^{(\frac{1}{2}x)}$

For this exercise it is important to remember that, by definition, the Exponential parent functions have the form shown below:

$f(x) = a^x$

Where "a" is the base.

There are several transformations for a function f(x), some of those transformations are shown below:

1. If $bf(x)$ and $b>1$ , then the function is stretched vertically by a factor of "b".

2. If $bf(x)$ and $0$ , then the function is compressed vertically by a factor of "b"

Therefore, based on the information given above, you can identify that the function that represents a vertical stretch of an Exponential function, is the one given in the Option A. This is:

$f(x)=3(\frac{1}{2})^x$

Where the factor is:

$b=3$

And $3>1$

7 0

3 years ago

Read 2 more answers

There are 100 students at a college who have taken a course in calculus, 110 who have taken a course in discrete mathematics, an

vesna_86 [32]

Answer:

110 students

Step-by-step explanation:

The number of students who have only taken calculus is given by the number of students who have taken calculus minus the students who have taken both classes:

$C =100 -50\\C= 50\ students$

The number of students who have only taken discrete mathematics given by the number of students who have taken discrete mathematics minus the students who have taken both classes:

$D =110 -50\\C= 60\ students$