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3 years ago

Pls answer as fast as possible brainliest to the best explanation

Mathematics

1 answer:

notsponge [240]3 years ago

3 0

Answer:

Box A: 7
Box B: 31
Box C:23

Explanation:

Given: 61 in all. 38 in A & B. Difference between A and C is 16

Since A&B have 38. There must be 61-38=23 in C.

Since there is a difference of 16 between A and C, there must be 7 in A (23-16=7). It couldn’t be 23+16=39 in A, because there are only 38 in A and B combined.

So it’s:
Box A: 7
Box B: 31
Box C:23

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Given f (x) = x2 + 4x + 5, what is f of the quantity 2 plus h end quantity minus f of 2 all over h equal to?

meriva

By evaluating the quadratic function, we will see that the differential quotient is:

$\frac{f(2 + h) - f(2)}{h} = 8 + h$

Here we have the quadratic function:

$f(x) = x^2 + 4x + 5$

Evaluating the quadratic equation we get:

$\frac{f(2 + h) - f(2)}{h}$

So we need to replace the x-variable by "2 + h" and "2" respectively.

Replacing the function in the differential quotient:

$\frac{(2 + h)^2 + 4*(2 + h) + 5 - (2)^2 - 4*2 - 5}{h} \\\\\frac{4 + 2*2h + h^2 + 8 + 4h - 4 - 8 }{h} \\\\\frac{ 2*2h + h^2 + 4h }{h} = \frac{8h + h^2}{h}$

If we simplify that last fraction, we get:

$\frac{8h + h^2}{h} = 8 + h$

The third option is the correct one, the differential quotient is equal to 8 + 4.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

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2 years ago

Triangle CAT is transformed to produce triangle DOG.

PilotLPTM [1.2K]

Using transformations and congruency concepts, it is found that with these following transformations, the triangles will be congruent.

A reflection, then a translation.
A rotation, then a reflection.

--------------------------

Two triangles are congruent if they have the same lengths of the sides and the same angles.

In a reflection, there is a rule that changes the coordinates (x,y), but does not change the lengths of the sides of the triangles, thus they will still be congruent.
A reflection is also a special case of rotation, thus, in a rotation, the triangles are also congruent.
A translation is also similar to a reflection, using rules to shift the triangle up, down, left or right according to it's coordinates, not changing the sides or angles, thus congruent.
In a dilation, the lengths of the sides are changed, thus, the triangles will not be congruent.

--------------------------

Thus, from the bullet points above, the correct options are:

A reflection, then a translation.
A rotation, then a reflection.

A similar problem is given at brainly.com/question/24267298

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3 years ago

An English teacher has 6 short stories, 4 novels, and 23 poems to choose from. How many ways can he assign one of each to his cl

Karolina [17]

Answer:

552

Step-by-step explanation:

This is a problem of permutation which can be solved by rule of fundamental counting principle.

This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.

example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.

_____________________________________________

The given problem is on similar concepts.

here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.

Thus it can be done in 6*4*23 = 552 ways.

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3 years ago

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