The correct option is A, which is {(5/7, 12/7)}.
<h2>Given to us,</h2>equation 1, 5x + 2y = 7,
equation 2, y = x+1
To solve the question, as given in equation 2 the value of y which is equal to x+1, Substitute the value of y in equation 1,
Now, we have the value of x, substitute the value in equation 2, to get y,
Taking LCM,
Hence, the correct option is A, which is {(5/7, 12/7)}.
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option C is correct.
<u>Step-by-step explanation:</u>
If a function is defined as
where, a>0, then the range of the function is greater than 0.
.... (1)
Option A: Using inequity (1),
Multiply both side by 3.
The range of first function is y>0. Therefore option A is incorrect.
Option B: Using inequity (1),
Multiply both side by 2.
The range of second function is y>0. Therefore option B is incorrect.
Option C: Using inequity (1),
Multiply both side by -1.
Add 3 on both the sides.
The range of first function is y<3. Therefore option C is correct.
Option D: Using inequity (1),
Subtract 3 from both the sides.
The range of second function is y>-3. Therefore option D is incorrect.
Answer:
Step-by-step explanation:
The area of a circle is A = πr², where r is the radius. That means in order to solve this we have to find the value of x, which is the diameter of the lake, and then divide it in half to get the radius. To find x we will use similar triangles and proportions. x is the height of the big triangle and 4.5 is the height of the smaller triangle; 15.3 + 7.4 is the hypotenuse of the big triangle and 7.4 is the hypotenuse of the smaller triangle. Setting up our proportion:
which simplifies a bit to
and cross multiply to solve for x:
7.4x = 102.15 so
x = 13.8 That is the diameter of the lake. Divide it in half to get 6.9, the radius. Applying the area formula for a circle:
A = (3.14)(6.9)² and
A = 3.14(47.61) so
A = 149.5 which rounds to 150, Choice C
Answer:
C.
Step-by-step explanation:
Science questions are T/F. That's .5 or chance to get it right.
7 questions. Each with a .
That's
=
= .0078 = .008 rounded
English questions are multiple choice. 4 choices. That's .25 or
3 questions. Each
That's
=
= .0156 = .016 rounded