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3 years ago

6) Solve. x/5 + 3 = 2 A) - 5 B) 25 C) 5 D) -1/5

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

5 0

Answer:

-5

Step-by-step explanation:

-5/5 = -1, -1+3=2

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Solve 3x − 8 = 8 for x using the change of base formula log base b of y equals log y over log b.

Gelneren [198K]

Answer:

3^x-8=8 then x=log_3(16)

3^(x-8)=8 then log_3(8)+8

Step-by-step explanation:

So if it is 3^x-8=8

then 3^x=16

and then convert to logarithmic form you write it as log_3(16)=x

_3 means the subscript (the base) is 3

So if it is 3^(x-8)=8

then the log form is log_3(8)=x-8

add 8 on both sides log_3(8)+8=x

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3 years ago

The segments shown below could form a triangle. O A. True O B. False

andreyandreev [35.5K]

The answer would be A

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3 years ago

Read 2 more answers

G(t)=2+5 f(t) = -1² + 5 Find (8 + f)(t)

jolli1 [7]

Answer:

Step-by-step explanation:

Given that,

G(t) = 2+5

F(t) = -1^2 + 5

= (-1 x -1) = 1

Therefore, F(t) = 1 + 5

G(t)= 7

Substitute 7 for(t)

F(7) =1+5

To find (8+f)(t)

Substitute all for t

(8+6)x7

=(14)x7

=98

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3 years ago

Are the two parabolas defined below similar or congruent or both? Justify your reasoning. Parabola 1: The parabola with a focus

Dominik [7]

Answer:

They are similar by a factor of 14

Step-by-step explanation:

From the general equation of a parabola opening up (since the directrix is on the y axis and the focus is upwards this line) the focus coordinates are:

$Focus = (h,k+p) = (0,2)$

So h=0 and k+p=2, for the directrix:

$y = k-p=-4$

solving k and p from the two equations above:

$k=-1 and p=3$

So for Parabola 1 the equation would be:

$x^{2} =4*3(y+1)$

For Parabola 2 the general equation is:

$x^{2} =4*(3/2)(y)$

here h=0, k=0, p=3/2 so focus is (0,3/2), directix is y=-3/2, they have the same orientation.

they are not congruent. For them to be similar it must comply:

$x_{1}=k x_{2}\\y_{1}=ky_{2} => (1/12)x_{1} ^{2} -1 = k(1/6)x_{2} ^{2}$

replacing $x_{1}$ and solving for k:

$(1/12)(kx_{2}) ^{2} -1 = k(1/6)x_{2} ^{2}\\ (1/12)k^{2} x_{2}^{2}-1 = k(1/6)x_{2} ^{2}\\k-12 = (12/6)=2\\k = 2+12=14\\$

They are similar by a factor of 14

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3 years ago

Which is a good comparison of the estimated sum and the actual sum of 7 9/12 + 2 11/12?

natta225 [31]

7 9/12 = 7.75
2 11/12 = 2.917

So we can round both of these up.

7.75 rounds to 8
2.917 rounds to 3

8 + 3 = 11

So the estimated sum is 11.

7 9/12 + 2 11/12 = 10 2/3

So the actual sum is 10 2/3.

The estimated sum is a pretty good estimate to the original number.

8 0

3 years ago

Read 2 more answers

6) Solve. x/5 + 3 = 2 A) - 5 B) 25 C) 5 D) -1/5​

6) Solve. x/5 + 3 = 2 A) - 5 B) 25 C) 5 D) -1/5