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2 years ago

1. The graph opens

Mathematics

1 answer:

jasenka [17]2 years ago

3 0

1. The coefficient of the squared term (-1/3) is negative, so the graph opens downward.

2. Matching the pattern to
.. y = a(x -h)^2 +k
we find (h, k) = (-2, 5) . . . . . . selection C

3. See the previous answer. The axis of symmetry is
.. x = h
Since h = -2, the axis is x = -2. . . . . . selection B

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A shaded semicircle is inside a circle

max2010maxim [7]

Answer:

Step-by-step explanation:

6 0

2 years ago

Someone please help me??

lapo4ka [179]

The standard equation of a circle with centre (xc,yc) and radius R is given by

$(x-x_c)^2+(y-y_c)^2=R^2$

Substituting
centre (xc,yc) = (4,-3)
R=2.5

The equation is therefore

$(x-x_c)^2+(y-y_c)^2=R^2$
$(x-4)^2+(y-(-3))^2=2.5^2$
$(x-4)^2+(y+3)^2=2.5^2$ or
(x-4)^2+(y+3)^2=6.25

7 0

2 years ago

Reptile [31]

Answer:

It's the third option: (x^2 - 5)(x - 7).

Step-by-step explanation:

x^3 – 7x^2 – 5x + 35

= x^2(x - 7) - 5(x - 7) The (x - 7) is common so we have:

(x^2 - 5)(x - 7).

6 0

2 years ago

See attached photo below

Daniel [21]

Answer:

Library 2 charges more for each book loaned.
Library 1 has a cheaper subscription fee.

Step-by-step explanation:

Based on the table, we can write the equation for the cost of borrowing from Library 2 using the two-point form of the equation of a line:

y = (y2 -y1)/(x2 -x1)(x -x1) +y1

for (x1, y1) = (2, 15.50) and (x2, y2) = (8, 26) this equation becomes ...

y = (26 -15.50)/(8 -2)(x -2) +15.50 . . . . . fill in the values

y = (10.50/6)(x -2) +15.50 . . . . . . . . . . . . simplify a bit

y = 1.75x -3.50 +15.50 . . . . . . simplify more

In the above, we have x = number of books; y = cost. We can use "n" and "C" for those, respectively, as in the equation for Library 1. Then the monthly cost for Library 2 is ...

C = 12 + 1.75n . . . . . . . arranged to the same form as for Library 1

_____

Now, we can answer the questions.

Library 2 charges more for each book loaned. (1.75 vs 1.50 for Library 1)

Library 1 has a cheaper subscription fee. (10 vs 12 for Library 2)

_____

The numbers in the cost equations are ...

C = (subscription fee) + (cost per book loaned)·n

8 0

3 years ago

Which industries do you predominantly see in each of the regions?

NNADVOKAT [17]

Answer:

to Region? Climate varies from region to region. This variation is driven by the uneven distribution of solar heating, the individual responses of the atmosphere, oceans and land surface, the interactions be- tween these, and the physical characteristics of the regions.

Step-by-step explanation:

hope it helps C:

#carryonlearning

8 0

2 years ago