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ivanzaharov [21]
3 years ago
12

What is the vertex of this parabola? y= 2x² + 4x +5

Mathematics
1 answer:
uranmaximum [27]3 years ago
6 0

Answer:

vertex = (- 1, 3 )

Step-by-step explanation:

Given a parabola in standard form

y = ax² + bx + c ( a ≠ 0 )

Then the x- coordinate of the vertex is

x_{vertex} = - \frac{b}{2a}

y = 2x² + 4x + 5 ← is in standard form

with a = 2, b = 4, then

x_{vertex} = - \frac{4}{4} = - 1

Substitute x = - 1 into the equation for corresponding value of y, that is

y = 2(- 1)² + 4(- 1) + 5 = 2 - 4 + 5 = 3

vertex = (- 1, 3 )

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Which equation can be used to solve for x xx in the following diagram? Choose 1 answer: (Choice A) A ( 5 x + 30 ) − 5 x = 90 (5x
Alona [7]

Answer: answer is C

Step-by-step explanation:

for find x
(5x+30)+5x=90
 5x+30+5x=90 add like terms
after,
 10x+30=90
10x+30-30=90-30
 10x/10=60/10
   x = 6

to obtain answer as C
it mean
(5x+30)+5x=90
(5(6)+30)+5(6)=90 we know x=6 so add 6 to x and multiply and obtain answer is correct!
30+30+30=90

7 0
2 years ago
What is 79.35 divided by 5
liraira [26]
79.35 divided by 5 equals: <u><em>15.87</em></u>
<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
To check:
    243
    15.87
<span><u>  x  5.00</u>
</span>     0000
<u>    0000</u>
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<em>~~~~~~~~~~~~~~~~~~~~~~~~~~~~</em>
Hope this helped! :)
<span><em>Any more questions, please ask! :)</em></span>


5 0
3 years ago
In the number 8,234,091,257 which digit is in the billions place
jenyasd209 [6]

Answer:

8

Step-by-step explanation: this is easy lol

3 0
3 years ago
Graph these two equations.<br> y= 2x - 3<br> x + 2y = 4
Vladimir [108]
This graph is x+2y=4

4 0
3 years ago
Write a formula for a line that passes through the point (x,y) = (-3,5) and has an undefinedslopes.
Vladimir [108]

A line with undefined slope has an equation  x=a.

So,  for a line that passes through the point (x,y) = (-3,5) ,

has the equation x= - 3.

5 0
3 years ago
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