MATHEMATICS HIGH SCHOOL

Y varies directly with X and has a constant rate of change of 6. When the value of Y is 11, then the value of X could be _____.equal to zero
less than 2
equal to 6
greater than 11

Answers

Answer 1
Answer:

Answer:  The correct option is (B) less than 2.

Step-by-step explanation:  Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

Y\propto X\n\n\Rightarrow Y=kx~~~~~~~~~~~~~~~(i),~~~~~~~~~\textup{[where 'k' is the constant of variation]}

Since the rate of change is constant and is equal to 6, so we must have

k=6.

So, from equation (i), we have

Y=kX\n\n\Rightarrow Y=6X~~~~~~~~~~~~~~~~~~~~~~(ii)

Now, when Y = 11, then from equation (ii), we get

Y=6X\n\n\Rightarrow 11=6X\n\n\Rightarrow X=(11)/(6)<(12)/(6)=2\n\n\n\Rightarrow X<2.

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.
Answer 2
Answer:

Answer: The correct option is (B) less than 2.

Step-by-step explanation:  Given that Y varies directly with X and has a constant rate of change of 6.

We are to find the possible value of X when the value of Y is 11.

Since Y varies directly with X, so we can write

Since the rate of change is constant and is equal to 6, so we must have

So, from equation (i), we have

Now, when Y = 11, then from equation (ii), we get

Thus, the value of X is less than 2 when Y = 11.

Option (B) is CORRECT.

Step-by-step explanation:

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PLEASE HELP ME GUYS?!

Please show me steps to solve.

Answers

Hello!

To find how many meters are in 66 feet, we divide by 3.3 as shown below.

66/3.3=20

Therefore, 66 ft is equal to 20 meters.

I hope this helps!

If 1m = 3.3ft, it means that to find how many meters there are in a foot we do:

m * ft = x

m = amount in meters

ft = equivalent amount in feet

x = result

Therefore, to find the amount of meters in a foot:

ft / m = x

ft = amount in feet

m = equivalent amount in meters

x = result

Now we apply the formula to our case:

66 / 3.3 = 20

Answer:

\boxed{\bf~66ft~=~20m}

Hope it helped,

BioTeacher101

There are 2/8 cup of peanuts and 1/4 of Walnuts.Is there a greater amount of peanuts or walnuts? Explain

Answers

You will get 2/8 for your answer but if u simplify it will be 1/4  

Answer: If you simplify 2/8 you get 1/4. Meaning there is the same amount of walnuts and peanuts

17. Write the slope-intercept form of the equation of the line though the given point with the given slope.18.Find the slope of a line perpendicular to each given line.
Show work please

Answers

Answer:

y = - x +2

Step-by-step explanation:

Slope = -1

Point: (-3,5)

b = 5 - (- 1)(- 3)

= 5 - 3 = 2

how do you work out the value of "d" in the equation: 7d=4d+21? 

Answers

Subtract 4d from each side. / / / 3d = 21. / / / Divide each side by 3. / / / d = 7 .

I'm not completely positive but I believe this is how you do it.

7d=4d+21

7d - 4d = 21

3d = 21

3d / 3 = 21 / 3

d = 7

What is the range of the function on the graph?O all real numbers
O all real numbers greater than or equal to 0
O all real numbers greater than or equal to 1
O all real numbers greater than or equal to 2

Answers

Answer:

4th Option: All real numbers greater than or equal to 2.

Step-by-step explanation:

Range is the set of y-values that can be outputted by function f(x).

We see here our range spans from 2 to infinity. Since 2 is a closed dot, we can include it in our range. Therefore our answer is All real numbers that are greater than or equal to 2.

[2, ∞)

Answer:all real numbers greater than or Equal to 2

Step-by-step explanation:

Fred bought seven adult and two student tickets for $16. John paid $7 for one adult and five student tickets. Individual costs are:

Answers

Answer:

Adult ticket=$2

Student ticket=$1

Step-by-step explanation:

Let the cost of one adult ticket be $x and the cost of one student ticket be $y

Fred bought 7 adult and 2 student tickets for$16.

So,

7x+2y=16. ...(1)

And,John paid $7 for one adult and 5 student tickets.

So,

x+5y=7. ...(2)

From ...(2),

x=7-5y

Substituting the value of x in equation ...(1),

7(7-5y)+2y=16

or,49-35y+2y=16

or,33y=33

or,y=1

Now, substituting the value of y in ...(2),

x=7-5=2

Thus,the cost of one adult ticket is $2 and the cost of one student ticket is $1.
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