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zvonat [6]
3 years ago
13

Evaluate the expression when y=-7. y? +4y-1

Mathematics
1 answer:
Delicious77 [7]3 years ago
5 0

Answer:

20

Step-by-step explanation:

y^2+4y-1=(-7)^2+4(-7)-1=(-7)(-7)-28-1=49-28-1=21-1=20

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Write 4 and 1/4 as a percent
solniwko [45]

Answer:

425%

Step-by-step explanation:

4 can be written as 4.00 in decimal form. 1/4 can be written as 0.25 in decimal form. When changing a decimal into a percent, you move the decimal to the right two times. If we move the decimal point in 4.00 twice we get 400. If we move the decimal point in 0.25 twice we get 25. If we add 400 and 25 together, we get 425. Therefore, the answer is 425%. Hope this helped! :)

3 0
3 years ago
If the lsrl relating the independent variable x and the dependent variable y for a given problem is ŷ = 2x + 5, then an increase
DochEvi [55]

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6 0
3 years ago
The graph of y=sin(x-3π/2) is the graph of the y=sin(x) shifted in which direction​
pychu [463]

Answer:

\frac{3\pi}{2}  units to the right

Step-by-step explanation:

If we have a parent function y = Sin(x), the function

  • y = Sin(x-b) would be the parent shifted b units right
  • y = Sin (x+b) would be the parent shifted b units left

The function given is y=Sin(x-\frac{3\pi}{2})

So from the rules, we can clearly say that it is parent function shifted RIGHT by  \frac{3\pi}{2} units.

2nd answer choice is correct.

5 0
3 years ago
A standard I.Q. test produces normally distributed results with a mean of 104 and a standard deviation of 16 for 52,000 students
Liula [17]
I'm looking for this aswell
4 0
3 years ago
Read 2 more answers
Part 4: Use the information provided to write the vertex formula of each parabola.
sergey [27]

Answer:  1. x = (y - 2)² + 8

              \bold{2.\quad x=-\dfrac{1}{2}(y-10)^2}+1

               3. y = 2(x +9)² + 7

<u>Step-by-step explanation:</u>

Notes: Vertex form is: y =a(x - h)² + k    or      x =a(y - k)² + h

  • (h, k) is the vertex
  • point of vertex is midpoint of focus and directrix:   \dfrac{focus+directrix}{2}

     \bullet\quad a=\dfrac{1}{4p}

  • p is the distance from the vertex to the focus

1)

focus = \bigg(\dfrac{-31}{4},2\bigg)\qquad directrix: x=\dfrac{-33}{4}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{-31}{4}+\frac{-33}{4}}{2}=\dfrac{\frac{-64}{4}}{2}=\dfrac{-16}{2}=-8\\\\\text{The y-value of the vertex is given by the focus as: 2}\\\\\text{vertex (h, k)}=(-8,2)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{-31}{4}-\dfrac{-32}{4}=\dfrac{1}{4}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{4})}=\dfrac{1}{1}=1

Now, plug in a = 1   and    (h, k) = (-8, 2) into the equation x =a(y - k)² + h

x = (y - 2)² + 8

***************************************************************************************

2)

focus = \bigg(\dfrac{1}{2},10\bigg)\qquad directrix: x=\dfrac{3}{2}\\\\\text{Since directrix is x, then the x-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{1}{2}+\frac{3}{2}}{2}=\dfrac{\frac{4}{2}}{2}=\dfrac{2}{2}=1\\\\\text{The y-value of the vertex is given by the focus as: 10}\\\\\text{vertex (h, k)}=(1,10)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{1}{2}-\dfrac{2}{2}=\dfrac{-1}{2}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{-1}{2})}=\dfrac{1}{-2}=-\dfrac{1}{2}

Now, plug in a = -1/2   and    (h, k) = (1, 10) into the equation x =a(y - k)² + h

\bold{x=-\dfrac{1}{2}(y-10)^2}+1

***************************************************************************************

3)

focus = \bigg(-9,\dfrac{57}{8}\bigg)\qquad directrix: y=\dfrac{55}{8}\\\\\text{Since directrix is y, then the y-value of the vertex is:}\\\\\dfrac{focus+directrix}{2}=\dfrac{\frac{57}{8}+\frac{55}{8}}{2}=\dfrac{\frac{112}{8}}{2}=\dfrac{14}{2}=7\\\\\text{The x-value of the vertex is given by the focus as: -9}\\\\\text{vertex (h, k)}=(-9,7)

Now let's find the a-value:

p=focus-vertex\\\\p=\dfrac{57}{8}-\dfrac{56}{8}=\dfrac{1}{8}\\\\\\a=\dfrac{1}{4p}=\dfrac{1}{4(\frac{1}{8})}=\dfrac{1}{\frac{1}{2}}=2

Now, plug in a = 2   and    (h, k) = (-9, 7) into the equation y =a(x - h)² + k

y = 2(x +9)² + 7

4 0
3 years ago
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