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4 years ago

S(t)=9t-4, find S(4)

1 answer:

3 0

For this problem, you need to substitute 4 in for your variable t. the original equation is S(t) and the one you need is S(4) -- in other words, evaluate this equation when t = 4.

S(4) = 9(4) - 4
S(4) = 36 - 4
S(4) = 32 is your answer.

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Does the equation Axequalsb have a solution for each b in set of real numbers RSuperscript 4? A. No, because A has a pivot pos

Elanso [62]

Answer:

C. Yes, because A does not have a pivot position in every row.

Step-by-step explanation:

The pivot position in the matrix is determined by entries in non zero rows. The pivot position may be in the row or a column. By Invertible Matrix Theorem the equation Axequalsb has non trivial solution. A has fewer pivot positions therefore A is not invertible. Ax will map RSuperscript into real numbers for n times. A has pivot position if left parenthesis bold x right parenthesis.

7 0

4 years ago

Create a unique parabola in the pattern f(x)=(x-a)(x-b). Pick integers other than one or zero for a and b. let a= 1 and b= 2 f(x

kotegsom [21]

Answer:

a) parabola opens upwards

b) y-intercept y = 2

c) x₁ = 1 x₂ = 2

Step-by-step explanation:

y = x² - 3x + 2

This parabola is open upwards since the coefficient of x² is positive (1)

b) y-intercept is when x = 0 then

y = (0)² - 3*(0) + 2

y-intercept y = 2

to determine zeros, we can proceed as follows

x² - 3x + 2 = 0

Factoring that xpression

( x -1 ) * ( x - 2 ) = 0

Then either x- 1 = 0 and x₁ = 1 or

x - 2 = 0 and x₂ = 2

8 0

3 years ago

The given table and equation represent the cost for carnival rides.

lozanna [386]

Answer:

The ordered pairs that are presented are (7, 99.5) and (3, 51.5)

Step-by-step explanation:

We are given the cost function of the carnival rides as

$c=15.5+12f$

which is a typical linear expression of the form $y=ax+b$ where here $y=c$ , $f=x$ , $a=12$ and $b=15.5$ . To check if an ordered pair i.e. a point $(x,y)$ , is represented by the table we can simply plug in the equivalent $x$ value in the equation, and check if the result matches the $y$ value.

So, lets assume that all points are given correctly and they are as follow:

$A. (7, 99.5)\\B. (75.5, 5)\\C. (3, 51.5)\\D. (123.5, 9)$

Now let us check each point with our function as follow:

Point A

$(7,99.5)\\\\c=15.5+12(7)\\c=15.5+84\\c=99.5$

So point A is part of the equation.

Point B

$(75.5,5)\\c=15.5+12(75.5)\\c=15.5+906\\c=921.5$

So point B is NOT part of the equation.

Point C

$(3,51.5)\\c=15.5+12(3)\\c=15.5+36\\c=51.5$

So point C is part of the equation.

Point D

$(123.5,9)\\c=15.5+12(123.5)\\c=15.5+1482\\c=1497.5$

So point D is NOT part of the equation.

8 0

4 years ago

Read 2 more answers

Find the equation of a line A (1.7) and B (-3,-1)

rodikova [14]

Y=2x+5 assuming that you meant A(1,7)
Use slope formula rise/run

7 0

3 years ago

The owner of a local golf course wants to estimate the difference between the scores of golfers on his golf course and the score

Olenka [21]

Answer:

(8) The correct option is (3).

(2) The correct option is (1).

Step-by-step explanation:

(8)

The hypothesis can be defined as:

H₀: There is no difference between the two population means, i.e. μ₁ = μ₂.

Hₐ: There is a difference between the two population means, i.e. μ₁ ≠ μ₂.

The decision rule of the test based on confidence interval is:

If the (1 - α) % confidence interval consists the null hypothesis value then the null hypothesis is not rejected. and vice-versa.

The 90% confidence interval for the paired difference between means is, (-3.31, 14.74).

The interval consists the null value, 0.

Thus, the null hypothesis was failed to be rejected.

Conclusion:

No significant difference exists between the average difference in scores and the differences were calculated as 0.

Thus, the correct option is (3).

(2)

A (1 - α) % confidence interval implies that there is (1 - α) % chance of the population parameter to be contained in this interval.

Or if 100 such intervals are constructed then (1 - α) of these intervals will consist the true parameter value.

The 99% confidence interval for the difference between means is, (-0.124, 13.85).

This interval implies that the true mean difference between the two populations lies in this interval with probability 0.99.

Conclusion:

We are 99% confident that the difference between the average age of all men and all women who play golf at the course is between -0.124 and 13.85.

Thus, the correct option is (1).

4 0

3 years ago