Answer:
f(x) = 6x² - 24x + 21
Step-by-step explanation:
The equation of a quadratic function in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (2, - 3 ) , then
f(x) = a(x - 2)² - 3
To find a substitute (1, 3 ) into the equation
3 = 1(1 - 2)² - 3
3 = a(- 1)² - 3
3 = a - 3 ( add 3 to both sides )
6 = a
f(x) = 6(x - 2)² - 3 ← in vertex form
= 6(x² - 4x + 4) - 3
= 6x² - 24x + 24 - 3
f(x) = 6x² - 24x + 21 ← in standard form
Answer:
C
Step-by-step explanation:
15/10=1.5 so 1.5 is the scale factor.
12x1.5=18. So the answer is C.
Answer:
Well, one night at the hotel equals $75.
Step-by-step explanation:
All you have to do is mulitlpy the nights by $75.
The last one is wrong it should be
5 nights = $375.
Hope this helps! Bye
Answer:
100 x 100 x 100 number cubes
Step-by-step explanation:
It's basically a volume problem. The question is asking if you made a big cube filled with smaller cubes , specifically 1,000,000 of them, what are the dimensions of this big cube. Or in other words the volume is 1,000,000. Now how do we find the volume of a cube? length times width times height, and witht he cubes each of those are the same so we can call them all x.
Now we just set up the equation where we have the equation whatever one side is times itself three times, (or x cubed) it will equal 1,000,000 or x^3=1,000,000,000. Now you just take the cube root of 1,000,000 which gets us 100. so the length, width and height are 100 small cubes.
Answer: Ian would have drove 91 miles using only 3 gallons of gas.
Step-by-step explanation: I used paper and pencil and used a T-chart putting one section at the top “gallons” and the other “miles”; under gallons I put 7 because the question stated with “7 gallons of gas”; under miles I put 217 because the question states that with 7 gallons of gas Ian’s car travels 217 miles so using the T-chart I want to simply the 7 gallons of gas to one gallon of gas to figure out how miles Ian’s car would go only using 3 gallons of gas; by dividing 7 by 7 giving me 1, and with a T-chart you wanna do the same thing to both sides meaning I divided 217 by 7 as well giving me 31 for 1 gallon of gas, meaning Ian’s car would travel 31 miles with only using 1 gallon of gas. After I find that answer I go to multiply the 1 under “gallons” by 3 to and again, if you do it to one side you have to do it to the other meaning I multiplied 31 my 3 as well; giving me 91. Meaning with only using 3 gallons of gas Ian’s car would travel 91 miles!
