Answer: The graph becomes narrower
<u>Step-by-step explanation:</u>
The vertex form of a quadratic equation is: y = a(x - h)² + k where
- |a| represents the vertical stretch if |a| > 1, vertical shrink if |a| < 1
- (h. k) represents the vertex
A vertical stretch means the curve gets narrower.
A vertical shrink/compression means the curve gets wider.
Answer:
5 and 7.
Step-by-step explanation:
Hey! So to start you need to create an algebraic expression. You can express this problem through the following equation:
*Note: if x is an odd integer, x + 2 is the next consecutive odd integer.
Expanding, you get:
And moving the 35 to the other side, you get a simple quadratic.
Solving by factoring:
This means two possible solutions for the smaller consecutive number are -7 and 5. However the question asks for two positive odd integers, so one of the numbers must be 5. The next will be 7(as its x + 2).
~Hello there!
Your question: Why is math important in our daily life?
Your answer: Math is important is our daily lives because it has become mandatory. We use it in each and everywhere. Which ever field you are getting into, math is always used there. Math is used in our kitchen, banks, schools, everywhere! Just think for a moment, what would be the world like without math..?
How will the engineers construct building?
How will we get the grades for our examinations?
How will we get to know the score of a football match?
Math is used everywhere, thus, in today's century math is obligatory.
Any questions?
Happy Studying!
8x+15=7
In the statement the phrase the sum of can tell you that it is going to be an addition problem. So 8x ( eight times a number) would be added to the 15, 8x+15. Since its an addition problem the part where it says ' ... is seven', you know that it will all equal 7. So the answer would be 8x+15=7.
Answer:
A
Step-by-step explanation:
Solving for x:
-3x + 8 ≥ 14
-3x ≥ 6
x ≤ -2
Notice the sign gets reversed when you divide or multiply by a negative number.
The only option less than -2 is -3, A.
Here's a tip: on multiple choice questions, sometimes it's faster to try each answer instead of solving the equation. This can save time on tests like the SAT or ACT.
Let's try it:
-3(-3) + 8 = 9 + 8 = 17
-3(-1) + 8 = 3 + 8 = 11
-3(0) + 8 = 0 + 8 = 8
-3(3) + 8 = -9 + 8 = -1
So you can see the answer is A.
