Answer:
24 and 9
Step-by-step explanation:
Hi there!
Let x be equal to the larger integer.
Let y be equal to the smaller integer.
<u>1) Construct equations</u>
(The sum of two integers is 33)
(The larger is 6 more than twice the smaller)
<u>2) Solve for one of the integer</u>
Isolate x in the first equation

Plug the first equation into the second

Combine like terms

Therefore, the smaller integer is 9.
<u />
<u>3) Solve for the other integer</u>

Plug in y (9)

Therefore, the larger integer is 24.
I hope this helps!
Answer
There are 170 ways the student can answer the test.
Explanation
If there are 20 multiple-choice questions with 5 choices each, the student has 100 choices. The first question has 5 choices to pick from. The second has 5 as well. So does the third. Hopefully now you realize that you have to multiply the number of choices by the number of questions.
The same thing goes with the true/false questions. There are 2 choices for each true/false question, and there are 35 of those. 35×2 is 70. There are 70 ways to answer on the true/false questions.
Now combine the number of choices on the first part and the second part; 100+70 is 170.
Final Answer: No Solution
Steps/Reasons/Explanation:
Question: 
<u>Step 1</u>: Divide both sides by
.

<u>Step 2</u>: Expand.

<u>Step 3</u>: Since
is false, we have no solution.
No Solution
~I hope I helped you :)~
Answer
The first 10 terms of thjs sequence are 2, 5, 8, 11, 14, 17, 20, 23, 26, 29
Explanation:
You can notice that to get to the next term, you have to add 3.
So we add 3 every next term
Answer:
(4,0)
Step-by-step explanation:
The equation of the line is y = (-1/2)x - 2. At the x-intercept, y = 0. Setting y = (-1/2)x - 2 to zero, we get (1/2)x = 2, and thus x = 4.