Answer:
g=35
Step-by-step explanation:
I can help you with graphing quadratics in intercept form. Here's a step-by-step guide:
Step 1: Identify the intercepts
The intercepts are the points where the parabola crosses the x-axis and y-axis. In intercept form, the x-intercepts are given by the factors of the quadratic expression. For example, in the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y.
Step 2: Find the vertex
The vertex is the point where the parabola reaches its maximum or minimum value. The x-coordinate of the vertex is the average of the x-intercepts. In the equation f(x) = 2(x+4)(x+6), the x-intercepts are -4 and -6, so the x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute the x-coordinate into the equation and solve for y.
Step 3: Plot the intercepts and vertex
Mark the intercepts and vertex on the coordinate plane.
Step 4: Sketch the parabola
Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.
Example:
Let's graph the equation f(x) = 2(x+4)(x+6).
Step 1: Identify the intercepts
The x-intercepts are -4 and -6. To find the y-intercept, set x = 0 and solve for y:
f(0) = 2(0+4)(0+6) = 48
So the y-intercept is (0, 48).
Step 2: Find the vertex
The x-coordinate of the vertex is (-4 + -6)/2 = -5. To find the y-coordinate of the vertex, substitute x = -5 into the equation:
f(-5) = 2(-5+4)(-5+6) = 2
So the vertex is (-5, 2).
Step 3: Plot the intercepts and vertex
Plot the intercepts (-4, 0), (-6, 0), and (0, 48), and the vertex (-5, 2) on the coordinate plane.
Step 4: Sketch the parabola
Draw a smooth curve that passes through the intercepts and vertex. The parabola should be symmetric about the vertical line passing through the vertex.
The graph of the equation f(x) = 2(x+4)(x+6) is a parabola that opens upwards and has intercepts at (-4, 0), (-6, 0), and (0, 48). The vertex of the parabola is at (-5, 2).
C. AB = 10.7
Since we know that AC=5.5 and CB=5.2, we can add them up to get get AB.
5.5+5.2=10.7
Hope this helps!
Let me know if you need anything else :)
Answer:
If you are on a budget it depends if you want to purchase $50 or another amount, while if you want to fill up the gas tank it depends on the cars' capacity. Some cars can take up to 11 gallons of gas, so if wanting to fill up the tank you would need to spend $33.
Hope this helps!
The amount of gas you purchase at $3.00 per gallon depends on personal budget, distance of commute, and the efficiency of your vehicle. Changes in supply and demand for crude oil may also affect these decisions.
The determination of how much gas you purchase when the price is $3.00 per gallon depends on several factors. Personal budget makes a significant impact. If you have a limited budget, you might opt to purchase less gas, or drive less frequently.
The distance of your commute also plays a role. Longer commutes generally require more gasoline, leading to higher fuel expenses. On the other hand, if your commute is short or you use public transportation, you'll likely buy less gas.
Another influential factor is the efficiency of your vehicle. Cars that consume less fuel per mile will use less gas, which in turn, mean less trips to the gas station. Furthermore, a general increase in gasoline supply or decrease in the demand for crude oil, like in the summer months, could also affect your gasoline purchase decision.
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By using a ruler? If all six sides are the exact same size, they have all same angles.
Hope you get it!