9514 1404 393
Answer:
f(x) = 3x³ +6x² -3x -6
Step-by-step explanation:
Each x-intercept (x=p) gives rise to a factor (x-p), so the factored form of the function is ...
f(x) = a(x -(-2))(x -(-1))(x -1)
The value of 'a' is chosen to make the y-intercept match that shown. The function just written has ...
f(0) = -6 = a(2)(1)(-1)
-6 = -2a
a = 3 . . . . . divide by -2
So, the function in factored form is ...
f(x) = 3(x +2)(x +1)(x -1)
Expanded, this is ...
f(x) = 3x³ +6x² -3x -6
In ΔBCD, the measure of ∠D=90°, the measure of ∠B=71°, and DB = 67 feet. Find the length of BC to the nearest tenth of a foot.
Answer:
in triangle BCD
relationship between base and hypotenuse is given by cos angle
cos 71=b/h
cos71=BD/BC
cos71=67/x
x=67/cos71=205.8ft.
the length of BC to the nearest tenth of a foot is 206ft.
Calculate the commission amount for the sale.
7% commission on a $2,560 sale
Answer:
$179.2
Step-by-step explanation:
7% of 2,560 is 179.2
If the graph of the function moves to the right two units what is the new vertex of the function
Answer:
Let's talk through this a one step at a time.
*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.
*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.
*At this point, f(x-5) has its vertex at (5,0).
*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]
*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence
PLS HELP ASAP IN LIKE 1 MINUTE
A shopping bag contains 18 red potatoes and 12 white potatoes. You choose one potato from the bag without looking. Calculate P(~white potato).
Answer:
2/5
Step-by-step explanation:
Red potato: 18
White potato: 12
Combined: 30
Probability of white potato:
12/30
2/5
A furniture store sell kits that customers use to build cabinets. Each kit contains 18 screws and a set number of boards. Jarred buys 6 of these kits and has a total of 192 screws and boards. The equation shown represents this situation: 6(x + 18) 192. What does the variable represent in Jarred's equation? * O The number of screws in one kit O The number of screws in all 6 kits O The number of boards in one kit? The number of boards in all 6 kits?
the number of boards in all 6 kits
✔✔
Becky, an artist, plans to paint and sell some miniature paintings. She just bought some brushes for $1, and paint and canvas for each painting costs $21; she will sell each painting for $22. Once Becky sells a certain number of her paintings, she will be breaking even. How much will Becky have earned? How many paintings will that be?
Answer:
After one unit is sold, Becky will break-even.
Step-by-step explanation:
Giving the following information:
Fixed costs= $1
Unitary variable cost= $21
Selling price= $22
The break-even point is the number of units required to cover the fixed costs after deducting from the selling price the variable components. At this point, net income is zero.
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 1 / (22 - 21)
Break-even point in units= 1
After one unit is sold, Becky will break-even.
What is
Mean
Medium
And Mode
Answer:
mean is the average value in the list.
first you add all number, then divide that value by the total number in the list
lets say (2,3,4,5)
you add 2+3+4+5 = 15 / 4
4 is the count
you'll get the average.
medium is the middle value in the list, but you should list from least to greatest
mode is repeated value in the list
Answer:
Step-by-step explanation:
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.
The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.
The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.
What is the perimeter of ABCD?
14 units
38 units
44 units
49 units
ANSWER: C) 44 units
A 8 foot length of 4 inch wide crown molding costs $15. How much will it cost to buy 38 feet of crown molding?
Answer:
$71.25
Step-by-step explanation:
cost of one feet of molding = $15/8 = $1.875
Cost of 38 feet of crown molding = $1.875 x 38 = $71.25
What is the distance between the points (-4,5) and (8,9)
Please help me i don't have that much time
Answer:
D) 128
Step-by-step explanation:
4(0.5)^-5
4(32)
128
plzzz help me with this math im so confused!!
Answer:
I have made it in above picture
Answer:
2 A.)
1) 3-4x+8x^2-6+2x-5x^2
2) 8x^2-5x^2-4x+2x+3-6
3) 3x^2-2x-3
B.) 3x-5-7x^2+2+6x^2+5x
Step-by-step explanation:
please mark brainiest
please give 5 stars
thank you
Can somebody please help me out with this question? Asap
A. Simplify x + 8 to 8x.
3. Find the products.
a) (a? + 4) (a? – 4)
Answer:
a^2-16
Step-by-step explanation:
you just a.a+a.-4+4.a+4.-4=a^2-16
Write the equation of the line that is perpendicular to y = -2/3 x +2 and goes through the point (-1, 4). Make sure your final answer is in slope-intercept form
Given:
The equation of a line is
[tex]y=-\dfrac{2}{3}x+2[/tex] ...(i)
The perpendicular line passes through the point (-1,4).
To find:
The equation of the perpendicular line.
Solution:
The slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(ii)
Where, m is the slope and b is the y-intercept.
On comparing (i) and (ii), we get
[tex]m=-\dfrac{2}{3}[/tex]
Product of slopes of two perpendicular lines is -1.
Let the slope of perpendicular line is [tex]m_1[/tex].
[tex]m\times m_1=-1[/tex]
[tex]-\dfrac{2}{3}\times m_1=-1[/tex]
[tex]m_1=\dfrac{3}{2}[/tex]
The slope of the perpendicular line is [tex]m_1=\dfrac{3}{2}[/tex] and it passes through the point (-1,4). So, the equation of the line is:
[tex]y-y_1=m_1(x-x_1)[/tex]
[tex]y-4=\dfrac{3}{2}(x-(-1))[/tex]
[tex]y-4=\dfrac{3}{2}(x+1)[/tex]
[tex]y-4=\dfrac{3}{2}x+\dfrac{3}{2}[/tex]
Add 4 on both sides.
[tex]y-4+4=\dfrac{3}{2}x+\dfrac{3}{2}+4[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{3+8}{2}[/tex]
[tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex]
Therefore, the equation of required line is [tex]y=\dfrac{3}{2}x+\dfrac{11}{2}[/tex].
From the top of a 100 ft air traffic control tower, an airplane is observed flying in at an angle of 32\displaystyle \degree°. If the airplane is 3000 feet away, what is the plane's altitude?
Answer:
1974.6 feets
Step-by-step explanation:
The plane's altitude is : h + 100 feets
To obtain h, according to the attached picture ;
We can use trigonometry :
Tan θ = opposite / Adjacent
Opposite = h ; adjacent = 3000 feets
Tan 32° = h / 3000
h = 3000 * 0.6248693
h = 1874.6080
Plane's altitude :
h + 100 feets
(1874.6080 + 100) feets
= 1974.6 feets
Which is equivalent to the expression below?
2k + (−3m ) − 6k + 2m
A. −4k + (−2m)
B. −4k + (−m)
C. 4k − 5m
D. 4k − m
Answer:
−4k + (−m)
Step-by-step explanation:
combined like term:
solve for k: 2k - 6k = -4k
solve for m: -3m + 2m = -1m which is -m
combined together the equation: -4k + -m or it can just be -4k - m
can someone help me to solve these two problems pls I will really appreciate I will mark you the brainly!
Answer:
12. 524 in³ (3 sig. fig.) 13. 2000 cm³ (3 sig. fig.)
Step-by-step explanation:
12. Volume of sphere = (4/3)πr³
= 500/3π
= 524 in³ (3 sig. fig.)
13. Volume of cylinder = πr²h
= 7²π(13)
= 637π
= 2000 cm³ (3 sig. fig.)
The Brown’s used 50 feet of rope to surround their rectangular garden. The length of the garden is 4 times as much as its width.
Answer:
200 feet
Step-by-step explanation:
Which decimal is equivalent to 1/3
Answer:
0.3 with the 3 being repeated
In Circle F, determine the value(s) of x.
Answer:
since inscribed angle is half of the central angle
x²+22=2(x²+3)
x²+22=2x²+6
22-6=2x²-x²
16=x²
x=√16=±4
determine the value(s) of x=±4
All points of a sphere are ______ equal distances to its center.
Always
Never
Sometimes
A) Always
In a perfect sphere the centre is an equal distance from any point from the surface.
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A pipe is tested during a 6-hour leak test on 600 feet of 6-inch-diameter plastic pipe with a test pressure of 150 pounds per square inch (psi). The pipes are 10 feet long. During the 6-hour test period, 8 gallons of water were added to maintain the 150 psi pressure. What is the actual leakage from this section of pipe in gallons per hour per 100 joints?
Answer:
Gil the rule of induced in a test tube videos were
Step-by-step explanation:
hddhfjfjfjjcjccjmvgkkgjfdhfjkghl gmglgkgmglgm GGG of the rule used to the cultivation the
the roof of the clock tower is a square pyramid each side of the base is 16 ft the slant height is 22 ft what is lateral area of the roof
Answer:
Need more points lang sorry
Ed wants to bicycle at least 75 miles this week. The inequality 11 + 4b > 75 can be used to find the average number of miles he should bike on his remaining 4 bike rides this week.
Sorry for the inconvenience, but I need this done and I need help. This is the last question of this quiz. Please Help.
Answer: Ed should bike at least more than 16 miles
Step-by-step explanation:
11 + 4b > 75
4b > 64
b > 16
Please help i dont know if this is right?
"just do it"- adidas
just yolo it
PLZ HELP IF CORRECT ILL GIVE U BRAINLIEST
Answer:
32.25
Step-by-step explanation:
Triangle JKL is shown below.
K
24
L
28
Which equation should be used to find the
length of JK?
Janet paid 5% interest on a $628 loan for 4 months. How much interest did she pay on her loan
Answer:
Total interest paid:$6.56
Step-by-step explanation:
I used multiple loan calculators.
The equations of four lines are given. Identify which lines are parallel.
Line 1: y=−6x+8
Line 2: x+1/2y=−1
Line 3: y=−2x+6
Line 4: y−5=−1/6(x−2)