Answer:
y = 18 and x = -2
Step-by-step explanation:
y = x^2+bx+c To find the turning point, or vertex, of this parabola, we need to work out the values of the coefficients b and c. We are given two different solutions of the equation. First, (2, 0). Second, (0, -14). So we have a value (-14) for c. We can substitute that into our first equation to find b. We can now plug in our values for b and c into the equation to get its standard form. To find the vertex, we can convert this equation to vertex form by completing the square. Thus, the vertex is (4.5, –6.25). We can confirm the solution graphically Plugging in (2,0) :
y=x2+bx+c
0=(2)^2+b(2)+c
y=4+2b+c
-2b=4+c
b=-2+2c
Plugging in (0,−14) :
y=x2+bx+c
−14=(0)2+b(0)+c
−16=0+b+c
b=16−c
Now that we have two equations isolated for b , we can simply use substitution and solve for c . y=x2+bx+c 16 + 2 = y y = 18 and x = -2
Answer:
26-9=17 26 is the answer
Step-by-step explanation:
1.Combine multiplied terms into a single fraction
2. Multiply by 1
3. Subtract 6 from both sides of the equation
4.Simplify
5.Subtract 3x from both sides of the equation
6.Simplify
7.Multiply all terms by the same value to eliminate fraction denominators
8.Simplify
9.Divide both sides of the equation by the same term
10.Simplify
Solution:x=4
Answer:
length of the prism = 244 - (width x height) / width + height)
Step-by-step explanation:
Let length be a and width be b and height be c
2 (a * b) + 2 (b* c) + 2 (a * c) = 488
2ab+ 2bc + 2ac = 488
ab + bc + ac = 244
ab + ac = 244 - ac
a (b + c) = 244-ac
a = 244-bc / b + c
Therefore the length of the prism = 244 - (width x height) / width + height)
Rani will use 3/2 cups of white rice for 3 cups of milk.
<h3>What is termed as unitary method?</h3>
"It is a method in which we obtain the value of a single unit by subtracting the value of multiple units and thus the value of multiple units by subtracting the value of a single unit."
- The value of several things is given in the unitary method, and we must either figure out the significance of more or lesser things.
- To do so, we must first determine the value of one item by division and then determine the value of ever more or fewer items by multiplication.
Now, for the given question;
1 cup of white rice is required for every 2 cups of milk by Rani.
Thus,
2 cups of milk ------> 1 cup of white rice.
So, using unitary method. Divide both side by 2.
1 cups of milk ------> 1/2 cup of white rice.
Now, calculate for the 3 cups of milk.
multiplying both side by 3.
3 cups of milk ------> 3/2 cup of white rice.
Therefore, the 3/2 cups of white rice required for the 3 cups of milk.
To know more about unitary method, here
brainly.com/question/28540270
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