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VARVARA [1.3K]
3 years ago
7

Graph the function rule. Tell whether the graph is continuous or discrete. The height​ h, in​ inches, of the juice in a 20​-oz b

ottle depends on the amount of juice​ j, in​ ounces, that you drink. This situation is represented by the function rule h=8−0.4j.

Mathematics
1 answer:
tangare [24]3 years ago
3 0
The x-axis is the amount of juice because it is the independent equation, while the y-axis is the height. The range of the x-axis starts from 0 to the maximum 20 oz. The graph is shown in the attached picture. As shown, the graph is continuous.

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4x + 3y = 22<br> 5x - 4y = 43<br> Simultaneous Equation
oksano4ka [1.4K]

Answer:

x = 7

y = -2

Step-by-step explanation:

4x + 3y = 22  ---------------------(I)

5x - 4y = 43 ---------------------(II)

Multiply(I) by 4 and equation (II) by 3. And then add the equations

(I) * 4            16x + 12y = 88

(II) *3            <u>15x  - 12y = 129</u>   {Add & thus y will be eliminated}

                    31x         = 217

x = 217/31  

x = 7

Plug in the value of x in equation (I)

4*7 + 3y = 22

28 + 3y = 22

       3y = 22 - 28

       3y = -6

         y = -6/3

y = -2

4 0
3 years ago
A) Both data sets multiplicative relationships. In Data Set 1, y is 3 times x and in data set 2 y is 3.5 times x B) Both data sh
Sladkaya [172]

For table # 1:

x= 1 * 3.5 = 3.5

x = 2*3.5 = 7

x = 3*3.5 = 10.5

x = 4* 3.5 = 14

For table #2

x=1 * 3 = 3

x =2 * 3 = 6

x = 3*3 = 9

x = 4* 3 = 12

Hence, the data sets show multiplicative relationships:

For data set 1 is 3.5 times x, and in data set 2 y is 3 times x.

8 0
1 year ago
Help !!!!!pla for 20 point s
zepelin [54]

Answer:

look at the picture i have sent

4 0
2 years ago
Read 2 more answers
Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro
Makovka662 [10]

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

Simplifying 8t2-19t-15=0

(8t+5)(t-3)=0

t=-5/8 or 3

As time cannot be -ve, t=3s. The answer is C.

6 0
2 years ago
Read 2 more answers
A spinner numbered 1 through 12 is spun. Find the probability that
anastassius [24]

Answer:

\dfrac{1}{6}

Step-by-step explanation:

Let <em>A</em> be the event of getting an odd number.

<em>P(A)</em> be the probability of getting an odd number.

Total odd numbers here are 6 i.e. \{1,3,5,7,9,11\}

Here, total numbers in the game are 12 i.e \{1,2,3,....,12\}.

Formula for probability of an <em>event E</em> can be observed as:

P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}

P(A) = \dfrac{6}{12}\\\Rightarrow \dfrac{1}{2}

Let <em>B</em> be the event of getting 11.

<em>P(B)</em> be the probability of getting 11.

Total number of possible cases is 1.

P(B) = \dfrac{1}{12}

P(A \cap B) is the probability that we get 11 and an odd number.

Possible number of cases = 1

P(A\cap B) = \dfrac{1}{12}

<em>P(B/A)</em> is the probability that we get an 11 given that it is an odd number.

P(B/A) = \dfrac{P(A \cap B)}{P(A)}\\\Rightarrow \dfrac{\dfrac{1}{12}}{\dfrac{1}{2}}\\\Rightarrow \dfrac{1}{6}

Hence, P(B/A) = \dfrac{1}{6}

4 0
3 years ago
Read 2 more answers
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