Answer:
Upward or Downward
Step-by-step explanation:
A parabola is the graph of a quadratic function y = ax2 + bx + c. The graphs below depict two typical parabolas:
For clarity, we indicate their x-intercepts with red dots, their y-intercepts with pink dots, and the vertex of each parabola with a green dot:
The first parabola (a U shape) opens vertically, whereas the second parabola opens downwards (is an upside down U shape).
Given the function y = ax2 + bx + c, write the following:
- <em>If an is greater than zero (positive), the parabola widens upward.</em>
- <em>If the value is 0 (negative), the parabola expands downward.</em>
I believe that the answer would be B because if you put the numbers into the variable spots, this is what you get. For example, when you put -3 into A, because it is the one with the x, and 6 in for B, you would get the first part of the equation. Then, put 12 in for C, you would get the whole equation. Sorry if this is wrong or if I did a bad job explaining this. Good luck!
Let x = cost of mango
y = c of apples
<span>8x+3y=18.
3x+5y=14.5 </span>
<span> </span>
<span>24x+9y=54
24x+40y=116
multiplying them with 3 and 8 resectively. </span>
<span>subtract one from the other we get </span>
<span>40y-9y=116-54 </span>
<span>31y=62 </span>
<span>y=2.
cost of apple=2$ per apple
</span><span>8x+3y=18,
8x+3(2)=18.
8x=12. x=12/8=1.5 </span>
<span>cost of mango i= 1.5 $ per mango
hope this helps</span>
The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
Answer: There are 56 boys in the 10th grade
Step-by-step explanation:
Step 1
ratio of boys to girls in the 10th grade is 8 :13
Number of girls= 91
To find the number of boys, we first find the total number of boys and girls in the 10th grade
Step 2
Now the total ratio= 8 +13=21
Number of girls = ratio of girls/ total ratio x Total number of students
91=13/ 21 x Total number of students
Total number of students =21 x 91 / 13 =147
Step 3
Therefore Number of boys =ratio of boys/ total ratio x Total number of student
8/21 x 147=56
