Answer:
A| 12, 3
Step-by-step explanation:
The polynomial can be factored by looking for factors of 36 that sum to -15. The sum being negative while the product is positive means both factors will be negative. The answer choices suggest ...
y = (x -12)(x -3)
A quick check shows this product is ...
y = x^2 -12x -3x +36 = x^2 -15x +36 . . . . as required
The factors are zero when x is either 12 or 3.
The zeros of the equation are 12 and 3.
____
Once you realize the constants in the binomial factors both have a negative sign, you can immediately choose the correct answer (A).
Or, you can use Descartes' rule of signs, which tells you that the two sign changes in the coefficients (+-+) mean there are 2 positive real roots.
Answer:
40degrees
Step-by-step explanation:
Find the diagram attached
Since the triangle ina semi circle is a right angle, hence <B = 90degrees
Also frm the diagram
<A + <B + <C = 180
<A + 90 + 50 = 180
<A + 140 = 180
<A = 180 - 140
<A = 40degrees
Hence the measure if m<BAC is 40degrees
Answer:
x > 10
Step-by-step explanation:
5x - 24 > 26
Add 24 on both sides.
5x -24 + 24 > 26 + 24
5x > 50
Divide by 5 on both sides.
x > 50 ÷ 5
Find x.
x > 10
Think of it as a normal linear equation first. Let's find the slope.
m = rise/run = (3-1)/(0-1) = -2
We know the slope is negative now, so we can immediately get rid of the first two answers. Now, we know that the solutions must be under the line itself, so we can try figuring it out by testing some points. Let's use (0,0).
Is 0 </> 0+3? Since it's <, then we know the last answer is correct (y < -2x + 3).
Answer:
True or False
2. When graphing inequalities, a dashed line is used for < or > signs.
True or False
3. If you were to graph x > 6, the circle would be closed and to the left.
True or False
4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle
True or False
