OK. These problems are easy if you know the quadratic formula,
and they're impossible if you don't.
Here's the quadratic formula:
When the equation is in the form of Ax² + Bx + C = 0
then x = [ -B plus or minus √(B²-4AC) ] / 2A
I'm sure that formula is in your text or your study notes,
right before these questions. You should cut it out or
copy it, and tape it inside the cover of your notebook.
Then, you'll always have it when you need it, until
you have it memorized and can rattle it off.
The first question says 3x² + 5x + 2 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes ! A=3 B=5 C=2
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
= [ -5 plus or minus √(5² - 4·3·2) ] / 2·3
= [ -5 plus or minus √(25 - 24) ] / 6
= [ -5 plus or minus √1 ] / 6
x = -4 / 6 = -2/3
and
x = -6 / 6 = -1 .
_______________________________________
The second question says
4x² + 5x - 1 = 0
Is this in the form of Ax² + Bx + C = 0 ?
Yes it is ! A=4 B=5 C= -1
so you can use the quadratic formula to solve it.
x = [ -B plus or minus √(B²-4AC) ] / 2A
Now, you take it from here.
C. Changes how rapidly the graph increases or decreases.
Answer: See Explanation
Step-by-step Explanation: Heather rolls a far umber cube 60times and finds the probabilityof a 4 Landingface ups 1 Heather wants to roll the fair number cube 12 more times, and on the frst nI rolls, a 3 lands face up each time. Which statement best describes the probability of Heather roling a 4 on the 12th roll? The probability of rolling a 4 on the 12th roll is less than The probablity of rolling a 4 on the 12th roll is more than The probablity of rolling a 4 on the 12th roll is equal to The probability of rolling a 4 on the 12th roll is equal to 10.
Applying the sine ratio and the law of sines, the value of h in the diagram is: B. 3.2 yards.
<h3>What is the Sine Ratio?</h3>
Sine ratio for solving a right triangle is: sin ∅ = opp/hyp.
Let's find AT in triangle BAT using the given Law of Sines:
m∠BTA = 180 - (180 - 57) - 46 = 11°
AB = 1 yd
m∠ABT = 46°
Using the law of sines, we have:
sin(m∠ABT)/AT = sin(m∠BTA)/AB
Plug in the values
sin(46)/AT = sin(11)/1
AT = sin(46) × 1 / sin(11)
AT = 3.8 yards
Find h using the sine ratio:
∅ = 57°
Opposite = h
Hypotenuse = AT = 3.8 yards
Substitute
sin 57 = h/3.8
h = sin 57 × 3.8
h ≈ 3.2 yards.
Learn more about the sine ratio on:
brainly.com/question/2920412
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Answer:
B a number line is shown from negative 5 to 0 to positive 5.