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Alona [7]
3 years ago
15

Which of the following are the most likely factors of the function graphed above?

Mathematics
1 answer:
alexandr402 [8]3 years ago
3 0

Answer: OPTION C.

Step-by-step explanation:

You can observe in the graph that the solutions of the Quadratic function are:

x=-5\ or\ x=1

By definition, the parabola intersects the x-axis when the value of "y" is zero, applying the Addition property of Equality:

x+5=-5+5\\\\x+5=0

Applying the Subtraction property of Equality:

x-1=1-1\\\\x-1=0

The Zero Product property states that:

If a*b = 0  then a = 0\ or \ b = 0

Then, you know that:

(x-1)(x+5)=0

Therefore the most likely factors of the function graphed above are:

(x-1)(x+5)

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Does the table represent a function? Why or why not? X 2 3 3 4 5 y 4 5 6 7 7​
QveST [7]

Answer:

5

Step-by-step explanation:

8 0
3 years ago
Consider a bell-shaped symmetric distribution with mean of 16 and standard deviation of 1.5. Approximately what percentage of da
fredd [130]

Answer: 95.45 %

Step-by-step explanation:

Given : The distribution is bell shaped , then the distribution must be normal distribution.

Mean : \mu=\ 16

Standard deviation :\sigma= 1.5

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\sigma}

For x = 13

z=\dfrac{13-16}{1.5}=-2

For x = 19

z=\dfrac{19-16}{1.5}=2

The p-value = P(-2

0.9772498-0.0227501=0.9544997\approx0.9545

In percent, 0.9545\times100=95.45\%

Hence, the percentage of data lie between 13 and 19 = 95.45 %

6 0
3 years ago
Please help me I’m stuck
FrozenT [24]

Answer:

10.77 units

Step-by-step explanation:

By imaging an imaginery line at point before 1 units to be 4 units: b = 4 units

Therefore h = 11 - 1 = 10 units

Using Pythagoras theorem:

x² = h² + b²  = 10² + 4² = 100 + 16 = 116

x = √116 = 10.77 units

8 0
3 years ago
Solve for x.<br><br> 3x - 13 = 2<br><br> (SHOW YOUR WORK)
Eddi Din [679]

3x-13=2

move -13 to the other side

sign changes from -13 to +13

3x-13+13=2+13

3x=2+13

3x=15

divide both sides by 3 to get x by itself

3x/3=15/3

cross out 3 and 3, divide by 3 and then becomes 1*1*x=x

x=15/3

x=5

answer:

x=5

7 0
3 years ago
(15) Geometry Help plz
MakcuM [25]
X = measure of angle 1
y = measure of angle 2
z = measure of angle 3
w = measure of angle 4

Focus on the bottom triangle. The three angles add to 180 degrees
(angle 2) + (angle 3) + 116 = 180
y+z+116 = 180
y+z= 180-116
y+z= 64

Since we have the bottom triangle as isosceles, this means that y = z, so
y+z = 64
y+y = 64
2y = 64
y = 64/2
y = 32
making z = 32 as well

Similarly, angle 1 and angle 4 are 32 degrees because the 116 angle is opposite the top left-most angle, and congruent to this angle. In other words, the bottom triangle is a mirror image of the top triangle.

The figure is a rhombus because all four sides are the same length (as shown by the tickmarks)

-----------------------------------------------------------

Answer: 
This figure is a rhombus
All four angles (angle 1 through angle 4) are the same measure. They are each 32 degrees

6 0
3 years ago
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