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kogti [31]
3 years ago
15

Find the x-intercepts of the parabola with vertex (1, -9) and y intercept at (0, -6).

Mathematics
2 answers:
Anna71 [15]3 years ago
7 0

Answer:

B.  

(-0.73,0), (2.73,0)

liberstina [14]3 years ago
5 0
1,0 
I think that would be it
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20% of the people in a village own a dog, 30% own goats and 40% own cattle, 5% own both a dog and goats, 4% own both a dog and c
lana66690 [7]

Answer:

37 %

Step-by-step explanation:

here..

only Dog = 20- 5 - 4 - 1 = 10

only goats = 30 - 5 - 3 - 1 = 21

only cattle = 40 - 4 - 3 - 1 = 32

then ... since the maximum percentage is 100 %

people who don't own any animal = 100% - 10% - 21% - 32% = 37 %

3 0
3 years ago
Help if you can do this please
olga nikolaevna [1]

Answer:

Step-by-step explanation:

a. Since the parabola is compressed by a factor of 1/3 we can state:

  • a parabola is written this way : y=(x-h)²+k
  • h stands for the translation to the left ⇒ 2*3=6
  • k for the units down  ⇒4*3=12

So the equation is : y=(x-6)²+12

b.Here the parabola is stretched by a factor of 2 so we must multiply by 1/2

  • We khow that a parabola is written this way : y=(x-h)²+k
  • (h,k) are the coordinates of the vertex
  • the maximum value is  7*0.5=3.5
  • we khow tha the derivative of a quadratic function is null in the maximum value
  • so let's derivate (x-h)²+k= x²+h²-2xh+k
  • f'(x)= 2x-2h    h is 1 since the axe of simmetry is x=1
  • f'(x)=2x-2 ⇒2x-2=0⇒ x= 1
  • Now we khow that 1 is the point where the derivative is null
  • f(1)=3.5
  • 3.5=(x-1)²+k
  • 3.5= (1-1)²+k⇒ k=3.5

So the equation is : y=(x-1)²+3.5

7.

the maximum height is where the derivative equals 0

  • h= -5.25(t-4)²+86
  • h= -5.25(t²-8t+16)+86
  • h=-5.25t²+42t-84+86
  • h=-5.25t²+42t+2

Let's derivate it :

  • f(x)= -10.5t+42
  • -10.5t+42=0
  • 42=10.5t
  • t= 42/10.5=4

When the height was at max t=4s

  • h(max)= -5.25(4-4)²+86 = 86 m

h was 86m

8 0
3 years ago
When yeast is combined with flour and other ingredients to make pizza dough is a _____.
mihalych1998 [28]

Answer:

Chemical

Step-by-step explanation:

4 0
3 years ago
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Write 5 3/5 as a percent
dolphi86 [110]
The percent would be 560%
7 0
3 years ago
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If you have a line that goes through (-1, 7) and (8, -2), what would the equation of the line be in point-slope form?
Eddi Din [679]

Answer:

y-9 = -1/12(x-8)

Step-by-step explanation:

To write an equation of a line perpendicular to the graph of y = 12x-3 and passing through the point, we will follow the following steps.

The standard form of point-slope form of the equation of a line is  given as

y − y1 = m(x − x1),

m is the slope of the unknown line

(x1, y1) is a point on the line.

Step 1: We need to calculate the slope of the known line first,

Given y = 12x-3

from the equation, m = 12 on comparison.

Step 2: get the slope of the unknown line. since the line given is perpendicular to the line y = 12x - 3, the product of their slope will be -1 i.e Mm = -1

M = -1/m

M is the slope of the unknown line

M = -1/12

Step 3: We will substitute M = -1/12 and the point (8, 9) into the point-slope form of the equation of a line i.e y − y1 = M(x − x1),

M = -1/12, x1 = 8 and y1 = 9

y-9 = -1/12(x-8)

5 0
3 years ago
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