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Sever21 [200]
3 years ago
8

WILL GIVE BRAINLIEST! Someone please graph these, I can't graph them.

Mathematics
2 answers:
nadezda [96]3 years ago
8 0

Answer:see attached imageStep-by-step explanation:F(x) = 2x + 5 is a linear graph because the exponent on x is 1.  I tell my students that think of graphs having one less turn/corner that the value of the highest exponent.  so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5so mark 5 on the y axis and a from there go up 2 and right 1 and make another point.  Join these points and you have your graphand g(x) = (x-5)/2  is its inverse and is found:F(x) = 2x + 5 write it this way y = 2x + 5now swap the x and y    x = 2y - 5solve for yx = 2y + 5- 5       -5 x - 5 = 2y/2        /2 (x-5)/2 = yit can be written as y = x/2 - 5/2and graphed the same way as above with a  1/2 slope and -5/2 y intercept

nadezda [96]3 years ago
4 0

Answer:

see attached image

Step-by-step explanation:

F(x) = 2x + 5 is a linear graph because the exponent on x is 1.  I tell my students that think of graphs having one less turn/corner that the value of the highest exponent.  so since 2x has a exponent of 1, 1-1 =0 so it has no turns or its a straight line.

this has a slope of 2 or 2/1 or up 2 and right 1 from the y intercept which is 5

so mark 5 on the y axis and a from there go up 2 and right 1 and make another point.  Join these points and you have your graph


and


g(x) = (x-5)/2  is its inverse and is found:

F(x) = 2x + 5 write it this way y = 2x + 5

now swap the x and y    x = 2y - 5

solve for y

x = 2y + 5

- 5       -5

x - 5 = 2y

/2        /2

(x-5)/2 = y

it can be written as y = x/2 - 5/2

and graphed the same way as above with a  1/2 slope and -5/2 y intercept

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Arithmetic progression​
melamori03 [73]

Answer: ar·ith·met·ic pro·gres·sion

/ˌeriTHˌmedik prəˈɡreSH(ə)n/

noun

a sequence of numbers in which each differs from the preceding by a constant quantity (e.g., 3, 6, 9, 12, etc.; 9, 7, 5, 3, etc.).

the relationship between numbers in an arithmetic progression.

"the numbers are in arithmetic progression"

Step-by-step explanation:

4 0
2 years ago
Convert 0.000049 to scientific notation
lilavasa [31]

Answer:

4.9 * 10⁻⁵

Step-by-step explanation:

0.000049 → 4.9

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2 years ago
Read 2 more answers
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Alex777 [14]

Answer:

\frac{1}{2}x + 16 = 36

40 comic books

Step-by-step explanation:

Let x be the Jill comic books.

Given:

Jill sold half of her comic books and then bought sixteen more. She now has 36.

\frac{1}{2}\ (Jill\ books) + 16\ more\ books = 36

\frac{1}{2}\ (x) + 16 = 36

\frac{1}{2}x + 16 = 36

Therefore the algebraic equation of the given statement.

\frac{1}{2}x + 16 = 36--------(1)

Now we solve above equation for x.

Subtract by 16 both side of the equation 1.

\frac{1}{2}x + 16 -16 = 36 -16

\frac{1}{2}x = 20

Multiply by 2 both side of the above equation.

2\times \frac{1}{2}x =2\times 20

x = 40

Therefore, Jill had 40 comic books.

8 0
2 years ago
Could someone help me rnnn?
GuDViN [60]

Answer:

vertex = (0, -4)

equation of the parabola:  y=3x^2-4

Step-by-step explanation:

Given:

  • y-intercept of parabola: -4
  • parabola passes through points: (-2, 8) and (1, -1)

Vertex form of a parabola:  y=a(x-h)^2+k

(where (h, k) is the vertex and a is some constant)

Substitute point (0, -4) into the equation:

\begin{aligned}\textsf{At}\:(0,-4) \implies a(0-h)^2+k &=-4\\ah^2+k &=-4\end{aligned}

Substitute point (-2, 8) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(-2,8) \implies a(-2-h)^2+k &=8\\a(4+4h+h^2)+k &=8\\4a+4ah+ah^2+k &=8\\\implies 4a+4ah-4&=8\\4a(1+h)&=12\\a(1+h)&=3\end{aligned}

Substitute point (1, -1) and ah^2+k=-4 into the equation:

\begin{aligned}\textsf{At}\:(1.-1) \implies a(1-h)^2+k &=-1\\a(1-2h+h^2)+k &=-1\\a-2ah+ah^2+k &=-1\\\implies a-2ah-4&=-1\\a(1-2h)&=3\end{aligned}

Equate to find h:

\begin{aligned}\implies a(1+h) &=a(1-2h)\\1+h &=1-2h\\3h &=0\\h &=0\end{aligned}

Substitute found value of h into one of the equations to find a:

\begin{aligned}\implies a(1+0) &=3\\a &=3\end{aligned}

Substitute found values of h and a to find k:

\begin{aligned}\implies ah^2+k&=-4\\(3)(0)^2+k &=-4\\k &=-4\end{aligned}

Therefore, the equation of the parabola in vertex form is:

\implies y=3(x-0)^2-4=3x^2-4

So the vertex of the parabola is (0, -4)

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2 years ago
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Shape 1 is similar to shape 2
melamori03 [73]

Yes it is, and don't worry, I hate school too! Amazing username!

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