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Feliz [49]
3 years ago
6

Find the indicated limit, if it exists. ​

Mathematics
1 answer:
lakkis [162]3 years ago
3 0

Answer:

6

Step-by-step explanation:

As x approaches -10 from the left, f(x) approaches -4 + 10 = 6

As x approaches -10 from the right, f(x) approaches -10 + 16 = 6

f(-10) = 6

Putting that all together, we have a limit of 6

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What is the x-coordinate of the vertex of the parabola whose equation is y = 3x² + 9x?
saveliy_v [14]

Answer: -3/2

Step-by-step explanation:

The axis of symmetry, and thus the x-coordinate of the vertex, is given by x=-\frac{b}{2a}

So, the answer is x=-\frac{9}{2(3)}=\boxed{-\frac{3}{2}}

3 0
1 year ago
Convert 6,250 pounds to tons
MariettaO [177]

Answer:

6250 pounds =3.125 us tons

8 0
3 years ago
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Which function has a simplified base of 4RootIndex 3 StartRoot 4 EndRoot? f(x) = 2(RootIndex 3 StartRoot 16 EndRoot) Superscript
PIT_PIT [208]

Answer:

  f(x)=4\sqrt[3]{16}^{2x}

Step-by-step explanation:

We believe you're wanting to find a function with an equivalent base of ...

  4\sqrt[3]{4}\approx 6.3496

The functions you're looking at seem to be ...

  f(x)=2\sqrt[3]{16}^x\approx 2\cdot2.5198^x\\\\f(x)=2\sqrt[3]{64}^x=2\cdot 4^x\\\\f(x)=4\sqrt[3]{16}^{2x}\approx 4\cdot 6.3496^x\ \leftarrow\text{ this one}\\\\f(x)=4\sqrt[3]{64}^{2x}=4\cdot 16^x

The third choice seems to be the one you're looking for.

9 0
3 years ago
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How many solutions does the equation have? -3f + 3f = 0
Ulleksa [173]

Answer:

infinite solutions

Step-by-step explanation:

-3f + 3f = 0

0=0

This is always true so there are infinite solutions

7 0
3 years ago
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Don’t understand #11 A,B, and C help please
Fiesta28 [93]
I set it in a big problem. Since you know that all the angles of a triable add up to 180,
m<a + m<b + m<c = 180, plug in equations/values
(36) + (3x+12) + (3x+18) = 180, subtract 36
3x+12 + 3x+18 = 144, combine like terms,
6x+30 = 144, subtract 30,
6x=114, divide by 6,
x=19. Plug in X to the equations for m<b and m<c
4 0
3 years ago
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