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Stella [2.4K]
3 years ago
14

What is y=4(x+1)^2-4 in standard form​

Mathematics
1 answer:
just olya [345]3 years ago
6 0

Answer:

Step-by-step explanation:

(a + b)² = a² + 2ab + b²

(x + 1)² = x² +2*x*1 + 1² = x² + 2x + 1

y = 4(x+1)² - 4

y = 4(x² + 2x + 1) - 4

y = 4*x² + 4*2x + 4*1 -4

y = 4x² + 8x + 4 - 4

y = 4x² + 8x

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Evaluate ∫ e3x cosh 2x dx A. 1/2e5x + 1/2ex + C B. 1/10e5x + 1/5 x + C C. 1/10e5x + 1/2ex + C D. 1/4e3x + 1/2 x + C
goldfiish [28.3K]

∫ e^(3x)*(cosh(2x)dx

= ∫ [e^(3x)*(e^(2x)+e^(-2x))/2]dx

= ∫ [(e^(5x)+e^x)/2]dx

=e^(5x)/10+e^x/2+C

=(1/10)(e^(5x)+5e^x)+C

6 0
3 years ago
Question 16 of 21 Which graph shows the solution to this system of linear inequalities?
WARRIOR [948]

The answer is B as it is the only one that matches the 2 inequalities.

3 0
2 years ago
An optical inspection system is used to distinguish among different part types. The probability of a correct classification of a
MAVERICK [17]

Answer:

Probability Mass Function:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

Step-by-step explanation:

We are given the following information:

We treat correct classification  as a success.

P(correct classification) = 0.96

Then the number of classification follows a binomial distribution, where

P(X=x) = \binom{n}{x}.p^x.(1-p)^{n-x}

where n is the total number of observations, x is the number of success, p is the probability of success.

Now, we are given n = 3 and x = 0, 1, 2, 3

We have to evaluate:

P(x = 0)\\= \binom{3}{0}(0.96)^0(1-0.96)^3\\=0.000064

P(x = 1)\\= \binom{3}{1}(0.96)^1(1-0.96)^2\\=0.004608

P(x = 2)\\= \binom{3}{2}(0.96)^2(1-0.96)^1\\=0.115902

P(x = 3)\\= \binom{3}{3}(0.96)^3(1-0.96)^0\\=0.884736

PMF:

   x:          0                         1                            2                          3

P(x):          0.000064          0.004608             0.115902             0.884736

8 0
3 years ago
18) mZVST<br> -37.8 +2<br> T.<br> +20<br> -27x-3
Burka [1]

Answer:

  m∠VST = 105°

Step-by-step explanation:

Two central angles are marked as having the same measure. The measure of the corresponding arcs are the same. The sum of all arc measures is 360°.

  (-37x +2) +2(-27x -3) = 360

  -91x -4 = 360

  -91x = 364

  x = -4

m∠VST = (-27(-4) -3) = 105 . . . . degrees

3 0
3 years ago
Estimate the sum to the nearest whole number: 0.870 + 3.2<br> A) 2 <br> B) 3 <br> C) 4 <br> D) 5
vfiekz [6]

the answer is C) four

6 0
3 years ago
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