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2 years ago

7 Write an equation of a line with slope of 23 and y-intercept -6.

Mathematics

1 answer:

emmainna [20.7K]2 years ago

6 0

Answer:

y = 23x - 6

Step-by-step explanation:

The formula for line is y = mx + b

m is the slope, so plug in 23

b is the y intercept, so plug in -6

So it would be y = 23x + (-6), which simpify into y = 23x - 6

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F(x)=6x^2+10x−1 How many distinct real number zeros does f have?

Nonamiya [84]

Answer:

Here, $D>0$ , hence the quadratic equation has two distinct real roots.

Step-by-step explanation:

Given quadratic equation is $6x^{2} +10x-1$ .

Let, the quadratic equation is $ax^{2} +bx+c$ [where, $a,b,c$ are the constants]

The Discriminant $(D)=b^{2}-4ac$

Case $1$ : $b^{2}-4ac>0$ , if the discriminant is greater than $0$ , it means the quadratic equation has two real distinct roots.

Case $2$ : $b^{2}-4ac$ , if the discriminant is less than $0$ , it means the quadratic equation has no real roots.

Case $3$ : $b^{2}-4ac=0$ , if the discriminants is equal to $0$ , it means the quadratic equation has two real identical roots.

Now,

we have $6x^{2} +10x-1$ , where $a=6,b=10,\ and\ c=-1$

∴ $D=b^{2}-4ac$

$=(10)^{2}-(4\times 6\times\ -1)$

$=100+24$

$= 124$

Here, $D>0$ , hence the quadratic equation has two distinct real roots.

7 0

3 years ago

Students in a class are asked to stand in ascending order according to their heights for the annual class photograph. Determine

horrorfan [7]

Answer:

The function in Python is as follows:

def heightChecker(heights):

expected = []

count = 0

for i in range(len(heights)):

expected.append(heights[i])

expected.sort()

for i in range(len(heights)):

if expected[i] != heights[i]:

count+=1

return count

Step-by-step explanation:

Required

Function to return the number of out of position students

See comment for complete question

This defines the function. It receives the heights as a parameter, from the main

def heightChecker(heights):

This initializes a list, (expected list)

expected = []

This initializes the count of out of position students

count = 0

This iterates through the original list

for i in range(len(heights)):

The list item is then appended to the expected list

expected.append(heights[i])

This sorts the expected list in ascending order

expected.sort()

This iterates through the original and the expected lists

for i in range(len(heights)):

If list elements at the same index are not the same, count is incremented by 1

if expected[i] != heights[i]:

count+=1

This returns count

return count

4 0

3 years ago

2x + 3 = x -4 what is the solution to this equation

taurus [48]

Step-by-step explanation:

2x + 3 = x-4

2x-x. = -4-3

x= -7

8 0

3 years ago

Help! Plz!

vovangra [49]

9514 1404 393

Answer:

a = m
b = n

Step-by-step explanation:

The axes of symmetry are shown and labeled m and n. Reflection across either (or both) axis of symmetry will map the figure to itself. Apparently, you want to designate those reflections as ...

Ra . . . where a = m

Rb . . . where b = n

6 0

3 years ago

Read 2 more answers

Find the greatest common factor of the terms in the following expression: 6ab + 18a. 6a, 3a, 2a, a

Oxana [17]

Answer:

Step-by-step explanation:

You can always choose the largest of the offered answers and see if that fits.

6ab +18a = 6a(b +3)

_____

Your general approach to a problem like this is to ...

look at what you have
identify the factors of each term
note which ones are common
find the largest common factor of any integer coefficients (It helps to know your times tables.)

Obviously, the only variable factor in the second term is "a". Since that is also a factor in the first term, that is part of the answer.

The constant 6 in the first term is also a factor of 18 in the second term, so it, too, will be part of the answer.

Then, the answer is 6a.

4 0

3 years ago