Answer:
-3hf
Step-by-step explanation:
Answer:
No for all of the 4 values
Step-by-step explanation:
The sum of the internal angles of a quadrilateral is always 360°, so we have that:
m∠A + m∠B + m∠C + m∠D = 360
11x - 8 + 3x2 + 1 + 15x + 32 + 2x2 - 1 = 360
5x2 + 26x - 320 = 0
Solving the quadratic function using Bhaskara's formula, we have:
Delta = 26^2 + 4*5*320 = 7076
sqrt(Delta) = 84.12
x1 = (-26 + 84.12)/10 = 5.81
x2 = (-26 - 84.12)/10 = -11.01 (this value will generate negative angles, so it is not valid).
Now, finding the angles, we have:
m∠A = 11*5.81 - 8 = 55.91°
m∠B = 3*(5.81)^2 + 1 = 102.27°
m∠C = 15*5.81 + 32 = 119.15°
m∠D = 2*(5.81)^2 - 1 = 66.51°
As all these values are different from the values shown, the answer is No for all of them.
<h2>
Answer:</h2>
<u>Question 10:</u>
21.75 ÷ 30 = 0.725
Move the decimal backwards 2 times
72.5
<em>Answer: </em>72.5%
<u>Question 11:</u>
Sales: $768
Commission Rate: 4%
Commission: $30.72
768 x 4 = 3,072
3,072 ÷ 100 = 30.72
<em>Answer:</em> $30.72
<u>Question 12:</u>
Selling Price: $39.98
Tax Rate: 4.5%
Sales Tax: $1.80
39.98 x 4.5 = 179.91
179.91 ÷ 100 = 1.7991
Then you round to the thousandths.
1.799
1.8
<em>Answer:</em> $1.80
<u>Question 13:</u>
20% x 141 = 28.2
141 + 28.2 = 169.2
<em>Answer:</em> $28.20 gratuity is added to the bill.
You want to get familiar with what the slope-intercept form equation means. even though the discussion board covers some of this... slope-intercept is y = mx + b, and in it, x and y are a point on your graph (x, y), m is the slope, and b is your y-intercept. in word problems, any constant will typically be b.
but, really, to answer this word problem, you don't have to think so hard about y = mx + b. just read the problem and bring your information together:
"the venue will cost $1500 to rent for an evening"
"$25 per person"
so they only gave you two bits of information, and you just have to decide where they fit. if the venue costs $1500 for an evening, that's a fixed cost--the 1500 isn't going to go up or down depending on the number of people at the charity event. it stays. you're paying 1500 regardless, even if 2 people show up. because the discussion board states that b should represent your starting amount, you're automatically $1500 in the hole, because you have to spend that much to get the venue. you will, however, write it as a positive integer, because the question wants you to calculate the total cost, by my understanding--you're adding the cost of the people with the cost of the venue.
$25 is not a fixed amount. if it's $25 per person, then if 2 people come, it costs $50, if 3 people arrive, it costs $75. this cost is dependent upon the number of people, which you can call "x"
with that information, write any other equation you would for a word problem:
y = 25x + 1500
that's your equation, and it just so happens that this equation is in y = mx + b format. the x-value represents the number of people who show up for the charity; the y-value represents the overall cost.
and you need three solutions for this equation--which, luckily, is a quick and easy process!! choose an x-value and solve for y.
y = 25x + 1500
when x = 1...
y = 25(1) + 1500
y = 25 + 1500
y = 1525
ordered pair: (1, 1525)
when x = 2...
y = 25(2) + 1500
y = 50 + 1500
y = 1550
ordered pair: (2, 1550)
when x = 3...
y = 25(3) + 1500
y = 75 + 1500
y = 1575
ordered pair: (3, 1575)
i hope that helped!!
