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alexandr1967 [171]
3 years ago
5

Compared to its 'parent' function f(x)=x^2, describe the changes if f(x)=-x^2-3?

Mathematics
1 answer:
zimovet [89]3 years ago
6 0

Answer:

it opens down meaning it has a maximum instead of a minimum. the graph has a horizontal shift of 3 spaces to the right

Step-by-step explanation:

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Back in ye olden days, cell phone companies charged for texting. A cell phone company charges 10 cents per text message if a cus
Alexeev081 [22]

Answer: It is worth it.

Step-by-step explanation:

If a customer sends 101 - 200 texts in a month, they get charged 8 cents per text.

If they send 201 - 300, they get charged 6 cents per month.

If you have sent 200 texts, your charge for the month will therefore be:

= 200 * 8

= $16.00

If you send the 201th text, you will be charged 6 cents per text. Total charge would be:

= 201 * 6

= $12.06

<em>If you send 1 more text, it will be worth it because you will save:</em>

<em>= 16 - 12.06</em>

<em>= $3.94</em>

8 0
3 years ago
Evaluate the integral. W (x2 y2) dx dy dz; W is the pyramid with top vertex at (0, 0, 1) and base vertices at (0, 0, 0), (1, 0,
In-s [12.5K]

Answer:

\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}

Step-by-step explanation:

Given that:

\iiint_W (x^2+y^2) \ dx \ dy \ dz

where;

the top vertex = (0,0,1) and the  base vertices at (0, 0, 0), (1, 0, 0), (0, 1, 0), and (1, 1, 0)

As such , the region of the bounds of the pyramid is: (0 ≤ x ≤ 1-z, 0 ≤ y ≤ 1-z, 0 ≤ z ≤ 1)

\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 \int ^{1-z}_0 (x^2+y^2) \ dx \ dy \  dz

\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0 \int ^{1-z}_0 ( \dfrac{(1-z)^3}{3}+ (1-z)y^2) dy \ dz

\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0  \ dz \  ( \dfrac{(1-z)^3}{3} \ y + \dfrac {(1-z)y^3)}{3}] ^{1-x}_{0}

\iiint_W (x^2+y^2) \ dx \ dy \ dz = \int ^1_0  \ dz \  ( \dfrac{(1-z)^4}{3}+ \dfrac{(1-z)^4}{3}) \ dz

\iiint_W (x^2+y^2) \ dx \ dy \ dz =\dfrac{2}{3} \int^1_0 (1-z)^4 \ dz

\iiint_W (x^2+y^2) \ dx \ dy \ dz =- \dfrac{2}{15}(1-z)^5|^1_0

\mathbf{\iiint_W (x^2+y^2) \ dx \ dy \ dz = \dfrac{2}{15}}

7 0
3 years ago
What is 12 14/15 written as a decimal
Marina86 [1]
12.9 i think, not sure. try it though
3 0
3 years ago
Jenny served one scoop of ice cream to her friends using a 3/4 cup scooper. She
Pepsi [2]

Answer:

75?

Step-by-step explanation:

1/4 = 25

25 x 3 =75

      ----

3/4=75

4 0
3 years ago
Please help. i need to pass.
FrozenT [24]
Plug 8 for y

8 = 2x + 4

Subtract 4

4 = 2x

Divide by 2

x = 2

Plug 16 for y

16 = 2x + 4

Subtract by 4

12 = 2x

Divide by 2

x = 6

Substitute 20 for y

20 = 2x + 4

16 = 2x

x = 8

Substitute 22 for y

22 = 2x + 4

18 = 2x

9 = x

So the values are 2, 6, 8, 9
5 0
4 years ago
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