1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
slamgirl [31]
3 years ago
14

Which relation is a direct variation that contains the ordered pair (2, 7)?

Mathematics
2 answers:
Alja [10]3 years ago
5 0
<span>Choices:
y=4x-1
y=2/7x
y=7/2x
y=7/x

(2,7) </span>⇒ x = 2 ; y = 7
y = 4x - 1 ⇒ y = 4(2) - 1 ; y = 8 - 1 ; y = 7
y = 2/7x ⇒ y = 2/7(2) ; y = 2/14 ; y = 1/7
y = 7/2x ⇒ y = 7/2(2) ; y = 7/4 ; y = 1 3/4
y = 7/x ⇒ y = 7/2 ; y = 3 1/2

Among the choices, only y = 4x - 1 is the direct variation that contains the ordered pair (2,7)
GarryVolchara [31]3 years ago
5 0

Answer:

y = 7/2x is the answer

Step-by-step explanation:

You might be interested in
Stilton is paying for a $25 meal. He has a 15%-off coupon for the meal. After the discount, a 7% sales tax is applied
timofeeve [1]

Answer:

$19.76

Step-by-step explanation:

First you turn the 15% to 0.15 and then you multiply it with $25 to get 3.75.

That isn't the meal though, but the discount you are going to get.

Now subtract 3.75 from 25 to get $21.25

After that multiply 21.25 with 7% which gets you 1.4875

Then, subtract 1.4875 from 21.25 to get 19.7625 which is rounded to $19.76

3 0
2 years ago
Help me with this question please?
UNO [17]
\bf 3^{n+2}-3^n=8\cdot 3^n\implies \boxed{3^n\cdot 3^2}-3^n=8\cdot 3^n&#10;\\\\\\&#10;\stackrel{common~factor}{3^n}(3^2-1)=8\cdot 3^n\implies 3^2-1=\cfrac{8\cdot \underline{3^n}}{\underline{3^n}}\implies 3^2-1=8&#10;\\\\\\&#10;9-1=8\implies 8=8
6 0
2 years ago
Define the set X = {(x,y)|x &gt; 0,y ≤ √x}.
Kitty [74]

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

brainly.com/question/12577430

#SPJ9

3 0
1 year ago
In parallelogram ABCD, AD = 12 in, m∠C = 46º, m∠DBA = 72º. Find the area of ABCD
dmitriy555 [2]

Answer:

The area of   parallelogram ABCD  is78.42 \mathrm{in}^{2}

Explanation:

Given:

AD = 12 in

m \angle C=46^{\circ}

m \angle D B A=72^{\circ}

To Find:

The area of   parallelogram ABCD=?  

Solution:

When we construct the parallelogram with the given data, we get a parallelogram formed by 12 cm as one side and an angle with 46 degrees.  

The area of the parallelogram can be calculated by a b * \sin (a n g l e)

Substituting the value of a=12  we have

\text { Area of parallelogram }=12 * \text { bsin } 46

<u>To find  the value of b, </u>

We know that area of a triangle can be expressed as,

\text { Area of triangle }=(A b / 2) \sin (\text {angle})

So,

(12 * B D / 2) * \sin 46=(A B * B D / 2) * \sin 72

Cancelling BD and 2 on both sides we get,  

12 * \sin 46=A B * \sin 72

A B=12 * \frac{\sin 46}{\sin 72}

Therefore,

b=\frac{12 \sin 46}{\sin 72}

Substituting the value of b,

=12 *\left(\frac{12 \sin 46}{\sin 72}\right) * \sin 46

=78.42  

So the area of the parallelogram is78.42 \mathrm{in}^{2}

6 0
3 years ago
Read 2 more answers
Which equation has the greatest positive rate of change?
Rasek [7]

Answer:

y=4x+4

Step-by-step explanation:

It has the biggest slope of the equations of 4, and increases the most.

5 0
2 years ago
Other questions:
  • What is the probability that a randomly selected child from this group will have red hair, given that he has straight hair? (Ent
    9·1 answer
  • Plane H is shown which points are viola at and non collinear
    6·1 answer
  • The equation of a circle is ​ (x−11)2+(y+15)2=144 ​ .
    5·2 answers
  • Need exercise problems with parentheses and variables
    8·1 answer
  • The time spent studying in hours on a daily basis of nine different students was used to create the box plot shown above. Which
    9·1 answer
  • Find the difference.
    10·1 answer
  • Increase £101 by 16%<br> Give your answer rounded to 2 DP.
    9·1 answer
  • PLEASE HELPP!!!!<br><br> Please find the areas of these shape
    14·1 answer
  • Which statement corrects the error, or errors, in this definition?In a dilation, each point in the pre image and it’s correspond
    12·1 answer
  • In conducting a​ goodness-of-fit test, a requirement is that​ ________. Question content area bottom Part 1 A. the expected freq
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!