Answer:
Step-by-step explanation:
Let the ages be r and m
<u>We have:</u>
<u>Substitute m in the second equation and solve for r:</u>
- m = 117 - r
- 5r = 9 + 3( 117 - r)
- 5r = 9 + 351 - 3r
- 5r + 3r = 360
- 8r = 360
- r = 360/8
- r = 45
<u>Then m is</u>
Answer:
Option D.
Step-by-step explanation:
Consider option D.
Take point (0,0)
On putting this point in inequation , we get
which is true . So, solution is region towards the origin i,e region below the line including the line itself .
On putting (0,0) in inequation , we get which is false , so solution is region away from the origin i.e region below line including the line itself .
So, common solution to both the inequations is the shaded part in the given figure .
In other words, we can say that the graph shown in the given figure represents system of equations:
Answer:
measure of angle ABC is 6 degree.
Step-by-step explanation:
After you found x, you'll plug it in the equation of the angle it's asking for.
Measure of angle ABD, and you know measure of angle ABC = 4x-1.
4(1)-1 = 4-1 = 3
Measure of angle CBD = 2x+1.
2(1) +1 = 3
Measure of angle ABC is ABD + CBD
3 + 3 = 6
Answer: OPTION D
Step-by-step explanation:
To express a polynomial in Standard form, you need to see the exponent of each term of the polynomial and then order the polynomial from highest exponent to lowest exponent.
Therefore, for the polynomial , you can see that the term that thas the highest exponent is x⁴ (The quartic term).
Then, this polynomial written in Standard form is:
Therefore, the term that should go first is: the quartic term.