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Naddika [18.5K]

3 years ago

7

The function f(x) = 1/2x + 3/2 is used to complete this table. Which statements are true of the given function? Check all that a

pply.
the numbers on the table are. (-1,1) (0,2/3) (1,2) (2,5/2)

2 answers:

allochka39001 [22]3 years ago

4 0

I don’t know whisking you the best of luck

lyra2 years ago

0 0

Answers:
It's f(0)= 3/2
and f(4)=7/2

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linear equation in slope intercept form for this situation. mary is selling popcorn for $5.00 per bucket and hotdogs for $4.75 e

3241004551 [841]

Answer:

standard form to represent the situation equation is 5a + 4.75b = 72.50

Step-by-step explanation:

given data

selling popcorn = $5.00

hotdogs = $4.75

makes = $72.50

solution

we consider here number of bucket sold = a

and number of hotdogs sold = b

Then after 1 hour she makes $72.50

equation for number of popcorn and number of hotdogs sold after an 1 hour is express as

$72.50 = number of bucket sold × price of popcorn per bucket + number of hotdogs sold × price of hotdog ...............................1

put here value and we get

72.50 = 5 × a + (4.75) × b

5 a + 4.75 b = 72.50

so here equation is equivalent to the standard form in the linear equation that is express ( Ax + By = C )

and here A and B are non zero with A, B and C all three are real number

so standard form to represent the situation equation is 5a + 4.75b = 72.50

4 0

4 years ago

Match the expression on the left with the correct simplified expression on the right.

andriy [413]

Given: The expression below

$\begin{gathered} (\frac{(3x^3y^4)^3}{(3x^2y^2)^2})^2 \\ (\frac{(3x^4y^2)^4}{(3x^5y^2)^3})^2 \end{gathered}$

To Determine: The matching expression to the given expressions

Solution

Let us simplify each of the expressions using exponents rule

$\begin{gathered} Exponent-Rule1=(a^m)^n=a^{m\times n} \\ Exponent-Rule2=(\frac{a^m}{a^n})=a^{m-n} \end{gathered}$

Applying the exponent rule 1 above to the given expressions

$\begin{gathered} (3x^3y^4)^3=3^3x^{3\times3}y^{4\times3}=27x^9y^{12} \\ (3x^2y^2)^2=3^2x^{2\times2}y^{2\times2}=9x^4y^4 \end{gathered}$ $\begin{gathered} (3x^4y^2)^4=3^4x^{4\times4}y^{2\times4}=81x^{16}y^8 \\ (3x^5y^2)^3=3^3x^{5\times3}y^{2\times3}=27x^{15}y^6 \end{gathered}$

Applying the exponent rule 2

$\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}}=\frac{27x^9y^{12}}{9x^4y^4}=\frac{27}{9}x^{9-4}y^{12-4}=3x^5y^8$ $\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}}=\frac{81x^{16}y^8}{27x^{15}y^6}=\frac{81}{27}x^{16-15}y^{8-6}=3xy^2$

Let us not apply exponent rule 1 above

$(\frac{(3x^{3}y^{4})^{3}}{(3x^{2}y^{2})^{2}})^2=(3x^5y^8)^2=3^2x^{5\times2}y^{8\times2}=9x^{10}y^{16}$ $(\frac{(3x^{4}y^{2})^{4}}{(3x^{5}y^{2})^{3}})^2=(3xy^2)^2=3^2x^2y^{2\times2}=9x^2y^4$

Hence, the matching is as shown below

8 0

2 years ago

24. In order to make the playoffa soccer team must get 20 points during the regular season. The team gets 2

stira [4]

Answer:10×12????=120 i think thats what your aski,

Step-by-step explanation:

7 0

3 years ago

Mateo is culturing bacteria that have a growth rate of 5.3% per hour. If the current population is 38,762 bacteria, how many bac

Taya2010 [7]

..Given:

$\begin{gathered} a=38762 \\ r=5.3\%=\frac{5.3}{100}=0.053 \\ t=20 \end{gathered}$

To Determine: The number of bacteria after 20 hours

Using the future value formula for growth rate

$\begin{gathered} P_a=P_c(1+r)^t \\ P_a=(Bacteria,final,population) \\ P_c(Bacteria,current,population)=38762 \\ r(rate)=0.053,t(time,in,hour)=20 \end{gathered}$

Therefore

$\begin{gathered} P_a=38762(1+0.053)^{20} \\ P_a=38762(1.053)^{20} \\ P_a=38762(2.809101) \\ P_a=108886.39 \\ P_a\approx108886 \end{gathered}$

Hence, population of bacteria in 20 hours is 108,886

8 0

2 years ago

Suppose that the credit remaining on a phone card (in dollars) is a linear function of the total calling time (in minutes). When

Virty [35]

Answer:

Credit remaining after 21 minutes = $30.4

Step-by-step explanation:

Credit remaining on a phone card is a linear function of the total calling time.

When graphed, let the linear function representing the line is,

y = mx + b

Where 'm' = slope of the line

b = y-intercept

From the graph,

Slope of the line = -0.12

y = -0.12x + b

If this line passes through a point (33, 28.96),

28.96 = -0.12(33) + b

b = 28.96 + 3.96

b = 32.92

Therefore, the linear function is,

f(x) = -0.12x + 32.92

where x = calling time

Credit left in the card after 21 minutes,

f(21) = -0.12(21) + 32.92

= -2.52 + 32.92

= $30.4

6 0

3 years ago