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yulyashka [42]
3 years ago
11

If s(x) = x – 7 and t(x) = 4x2 – x + 3, which expression is equivalent to (ToS) (x)

Mathematics
2 answers:
Gnoma [55]3 years ago
5 0
In order to find the expression that is equivalent to (t*s)(x), use the following steps:
s(x) = x - 7t(x) = 4x^2 - x + 3
(t*s)(x) = t(s(x)) = t(x - 7) = 4(x - 7)^2 - (x - 7) + 3 = 4(x - 7)^2 - x + 7 + 3
The correct result would be 4(x – 7)2 – (x – 7) + 3.
9966 [12]3 years ago
5 0

Answer:

To save you time it's B.

Step-by-step explanation:

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kirill115 [55]

Answer:

See explanation below

Step-by-step explanation:

The width is 4 inches

So, the area of the base is 20 inches squared

The height is 4 inches

So, the volume of the prism is 80 inches cubed

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3 years ago
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A sea horse riding travels an average of 0.01 miles per hour. At that rate , how fast can a sea horse travel in 2.4 hours?
kondaur [170]
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:

0.01 miles / 1 hour = x miles / 2.4 hours

The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:

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0.024 miles would be the answer.
5 0
3 years ago
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Prove the divisibility of the following numbers:
Brut [27]

Answer:

Step-by-step explanation:

To prove divisibility, we need to factor the divident such that one of its factors matches the divisor.

(I use the notation x|y to denote that x divides y)

(A)

75^{30}|45^{45}\cdot15^{15}\\45^{45}\cdot15^{15}=3^{45}\cdot 15^{45}\cdot 15^{15}=\\=3^{45}\cdot 15^{60}=3^{45}\cdot 15^{30}\cdot 15^{30}=3^{45}\cdot (3\cdot5)^{30}\cdot 15^{30}=\\=3^{45}\cdot 3^{30}\cdot(5\cdot 15)^{30}=3^{45}\cdot 3^{30}\cdot(75)^{30}\\\implies\\75^{30}|3^{45}\cdot 3^{30}\cdot75^{30}

(B)

72^{63}|24^{54}\cdot 54^{24}\cdot2^{10}\\24^{54}\cdot 54^{24}\cdot2^{10}=(2^{162}\cdot 3^{54})\cdot(2^{24}\cdot 3^{72}) \cdot 2^{10}\\=2^{196}\cdot 3^{126}

In this case, it is easier to also factor the divisor to primes:

72^{63}=2^{189}\cdot 3^{126}

Both of these factor must be matched in the dividend in order to prove divisibility, and that indeed turns out to be true:

2^{189}\cdot 3^{126}|2^{196}\cdot 3^{126}\implies\\2^{189}|2^{196}\,\,\mbox{and}\,\,3^{126}|3^{126}

6 0
3 years ago
Solve the following system by graphing and identify the point of intersection -5x+2y=-4 2x-y=2
FrozenT [24]

Answer: Point of intersection (0, -2)

Step-by-step explanation:

8 0
1 year ago
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Furkat [3]

\huge\bold{\purple{\bold{⚡133°⚡}}}

Step-by-step explanation:

Co interior angles' sum is 180°

  • So, 180-67=133
  • 133°
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2 years ago
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