Answer:
(0,5)
Step-by-step explanation:
To find the y-intercept, substitute in 0 for x and solve for y.
y=x^2 + 3x + 5
y=(0)^2 + 3(0) +5
y=0+0+5
y=5
Since there is no x coordinate for a y-intercept, the answer is (0,5)
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
Answer:
lesser x= -10.32
greater x= -3.68
Step-by-step explanation:
![- 7 + \sqrt{11} = - 3.68](https://tex.z-dn.net/?f=%20-%207%20%2B%20%20%5Csqrt%7B11%7D%20%20%3D%20%20-%203.68)
![- 7 - \sqrt{11} = - 10.32](https://tex.z-dn.net/?f=%20-%207%20-%20%20%5Csqrt%7B11%7D%20%20%3D%20%20-%2010.32)
We can write the following proportion between the milligram and milliliters:
![1000\div 250 = 700\div x](https://tex.z-dn.net/?f=1000%5Cdiv%20250%20%3D%20700%5Cdiv%20x)
Solving for x, we have
![x=\dfrac{250\cdot 700}{1000}=175](https://tex.z-dn.net/?f=x%3D%5Cdfrac%7B250%5Ccdot%20700%7D%7B1000%7D%3D175)
Intuitively, the original 1000mg/250ml solution tells us that the number of milliliters is one fourth of the number of milligrams.
So, if we want 700mg, we have one fourth of this value for the milliliters:
![\dfrac{700}{4}=175](https://tex.z-dn.net/?f=%5Cdfrac%7B700%7D%7B4%7D%3D175)
I think the answer is 115