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nika2105 [10]
3 years ago
9

What is the axis of symmetry for the function? y = x2 + 3x - 4

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0
Axis of symmetry is a line passing through the vertex which divides the curge into two parts such tha each part looks the same.
For y= x^{2} +3x-4, the 'x' part is squared and the coefficient of x^{2} is positive. Hence, the curve will be a parabola facing up which means that the axis of symmetry will be a vertical line. i.e. x = m.
Investigating, f(-1) == (-1)^{2} +3(-1)-4=1-3-4=-6
f(-1.5) = = (-1.5)^{2} +3(-1.5)-4=2.25-4.5-4=-6.25
f(-2) = = (-2)^{2} +3(-2)-4=4-6-4=-6
From these, the curve has a vertex at point (-1.5, -6)
Therefore the axis of symmetry is line x = -1.5 (i.e. the third option)
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The movie theater kept track of how many tickets the sold on Wednesday.choose the best title for the data. A.tickets sold. B.sca
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A. Tickets sold

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3 years ago
I need help with a math equation
baherus [9]

Answer:

-29

Step-by-step explanation:

Remove the brackets: -20 - 9

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4 0
2 years ago
Three friends recorded, in different units, the lengths of the hopscotch paths they made.
ivann1987 [24]

From the options given, Dustin's hopscotch path was the longest in comparison to the other two friends.

<h3>How to find out who had the longest path?</h3>
  • Make sure all distances use the same units.
  • If necessary convert the distances.
  • Compare the distances.

Based on this, let's make sure all distances are in feet.

  • Cassey: 94 feet

  • Jasmin: 1100 in or 91.66 feet
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Based on this, the person with the longest path is Dustin.

Learn more about distances in: brainly.com/question/15172156

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5 0
11 months ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
Help me please <br> I’m doing a test and cant get this
ella [17]

Answer:

16

Step-by-step explanation:

first you get rid of the exponents and get

9+25-2×9

then you multiply and get

9+25-18

then you add And get

34-18

lastly you subtract to get your answer which is

16

7 0
2 years ago
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