Answer:
no real numbers will make this equation true
Step-by-step explanation:
if you square both sides, you'll get sqrt(-49). this will get you an imaginary number (7i) which is not a real number.
Answer:
x intercept: (3, 0), (7, 0)
y-intercept: (0, -21)
vertex : (5,4)
the graph points down
Step-by-step explanation:
f(x) = - (x - 3)(x - 7)
f(x) = - (x^2 - 7x - 3x + 21)
f(x) = - (x^2 - 10x + 21)
f(x) = -x^2 + 10x - 21
x-intercept when f(x) = 0 so
x - 3 = 0; x = 3
x - 7 = 0; x = 7
x intercept: (3, 0), (7, 0)
y-intercept when x = 0 so y = -21
y-intercept: (0, -21)
vertex:
x = -b/2a
x = -10/ 2(-1)
x = 5
plug in x = 5 into the equation to find y
y = -(5)^2 + 10(5) - 21
y = -25 + 50 - 21
y = 4
so vertex : (5,4)
Since a = - 1<0, the graph is going downward and has maximum
Hi there!
The question is asking us to simplify the expression (x² + 3x - 7)(2x - 5) and write the answer in standard form. Here is how you do that -
Original: (x² + 3x - 7)(2x - 5)
Break it apart - [(x² + 3x - 7)(2x)] + [(x² + 3x - 7)(-5)]
Simplify -
2x³ + 6x² - 14x - 5x² - 15x + 35
Now, combine like terms -
2x³ + x² - 29x + 35
Therefore, the answer to your query is 2x³ + x² - 29x + 35. Hope this helps!
Answer:
1.37
Step-by-step explanation:
In numbers with a decimal there are many ways to look at it. The easiest way to remember in my personal opinion is this:
Any number before "." is on the left side, or before the decimal.
Any number after "." is on the right side, or after the decimal.
When the number is written out like "one and thirty-seven thousandths," "and" is where the decimal will be.
So, in this example we have: one (1) and (.) thirty-seven (37) thousandths.
Also for future use, please see the attached image.
We already have the equation written, we only have to solve it for h. To do so, simply divide both sides by 7, so that we can isolate h on the left hand side: