You would look for the LCM of both the numbers and that would be the # of days until she will do both on the same day. in this case it would be 30.
Or if you want an easier way, here it is. if both or one of the numbers are prime sometimes multiplying them together will get you the answer as well.
It works in this case: 15 x 2 = 30
30 is your answer
hope this helps!
2x – y ≤ 5.
2y + x > 1
Enter your answer as a decimal in the box
12.6
units
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent
In this problem
Triangles ABC and DBE are similar by AA Similarity Theorem
so
we have
substitute
g(x) is shifted 3 units to the right and 1 unit down.
g(x) is shifted 3 units to the right and reflected over the x-axis.
g(x) is shifted 3 units to the left and reflected over the x-axis.
The difference between the functions f(x) and g(x) is the addition of a
constant to the value of x and changing the sign of the output.
The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and
reflected over the x-axis.
Reason:
The addition of a positive constant term to the input variable of a function,
shifts the graph to the left of the graph of the parent function.
Please find attached the image of the graph of f(x), which is g(x) shifted to
the left by 3 units.
Changing the sign of the output value from positive to negative;
When the output value of a function is changed from positive to negative,
and vice versa, it is equivalent to a reflection across the x-axis.
Therefore, the function g(x) is a reflection across the x-axis.
Therefore;
g(x) is shifted 3 units to the left and reflected over the x-axis.
Learn more here:
Answer:
g(x) is shifted 3 units to the left and reflected over the x-axis.
Step-by-step explanation:
Given the Parent function:
And the other
Since the g(x) function is multiplied by -(1) and added to 3 units, then the curve is translated 3 units left and reflected over the x-axis, as the graph below shows.
The negative parameter "a" reflects over the x-axis. And the independent parameters, being added to the parent one translate the curve.
The area of the irregular polygon in the sketch is: D. 40.5 cm².
To find the area of an irregular polygon, decompose the polygon into known shapes. Find the area of each shape and add all together.
Thus:
The irregular polygon is made up of a rectangle and a triangle.
Area of the irregular polygon = area of rectangle + area of triangle.
= length × width + 1/2(base × height)
Length = 12.5 cm
Width = 3 cm
Base = 3 cm
Height = 2 cm
Area of the irregular polygon = 12.5 × 3 + 1/2(3 × 2)
= 40.5 cm²
Learn more about area of irregular polygon on:
Answer:
The answer is 40.5 (D)
Answer:
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
Step-by-step explanation:
Let
x ---> ounces of the 18% solution
y ---> ounces of the 45% solution
we know that
The number of ounces of the 18% solution plus the number of ounces of the 45% solution must be equal to 12 ounces
so
----> equation A
The number of ounces of the 18% solution multiplied by 0.18 (percentage in decimal form) plus the number of ounces of the 45% solution multiplied by 0.45 (percentage in decimal form), must be equal to 12 ounces multiplied by 0.36 (percentage in decimal form)
so
-----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (4,8)
see the attached figure
therefore
The ounces of the 18% solution is 4 and the ounces of the 45% solution is 8
3 + j / 11 =2
j =
Let's solve the equation step-by-step
Step 1) Simplify both sides of the equation
3+ j/11 = 2
1/11j+3=2
Step 2) Subtract 3 from both sides
1/11j + 3 - 3 = 2 - 3
1/11j = -1
Step 3) Multiply both sides by 11
11 x (1/11j) = (11) x (-1)
j = -11
Answer is.. J = -11
↑ ↑ ↑ Hope this helps! :D