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
SOLVE: 3/4 x 4/5 = *
3
4
×
4
5
=
3
5
Result in decimals: 0.6
Calculation steps:
3
4
×
4
5
=
3 × 4
4 × 5
=
12
20
=
12 ÷ 4
20 ÷ 4
=
3
5
Work out the size of angle x.
38°
х
101
Answer:
41°
Step-by-step explanation:
the sum of the interior angles is 180 degree
so,
38 + x + 101 = 180
139 +x = 180
x = 180 - 139
x= 41°
A florist used 18 flowers to make a bouquet, including 8 lilies.
What is the probability that a randomly selected flower will be a lily?
Write your answer as a fraction or whole number.
Answer:
4/9 will be the probability.
Hope it helps you!!
coordinate planes
again
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
does the volume method length x width x height apply to all volume finding questions
Answer:
No.
Step-by-step explanation:
This only applies to solids like cubes and some prisms.
It does not apply to such solids are cylinders, pyramids, cones and triangular prisms. It will apply to a prism whose cross-section is a rectangle.
Kate bought a house for 198,000 and then sold it for 230,000 one year later. What is the profit as a percentage?
Answer:
profit as a percentage= 21.74%
Step-by-step explanation:
Giving the following information:
Purchase price= $180,000
Selling price= $230,000
To calculate the profit as a percentage, we need to use the following formula:
profit as a percentage= (profit/selling price)*100
profit as a percentage= 50,000/230,000*100
profit as a percentage= 21.74%
Help help help help help help help
R varies inversely with x. If R= -2 when x = 6, what is the value of R when x = -3?
Ο Α. -1
0 B 4
O C.-4
OD. 1
Answer:
R=x = R= −2 =x =6 =R =x =− 3=
Step-by-step explanation:
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
Find an equation for the line below
A cube has a total surface area of 150 inches squared. Considering every side length is
congruent, and every face equivalent on a cube, what is the side length?
Answer:25.0
Step-by-step explanation: 5.0 times 5.0
What is the area of this shape hurry
Answer:
15 units squared
Step-by-step explanation:
sorry if im wrong
Answer:
12
Step-by-step explanation:
Area of triangle + area of square + area of triangle = total area
(Area of a triangle: A = 1/2bh)
(Area of a square: A = bh)
Area of smallest triangle =
A = 1/2 (2) (2) = 2
Area of largest triangle=
A = 1/2 (2) (6) = 6
Area of the square =
A = 2 x 2 = 4
Total shape:
2 + 4 + 6 = 12
Which represents the dimensions of the rectangular park?
A. W = 20 ft. and / = 50 ft.
B. w = 30 ft. and I = 80 ft.
C. w = 50 ft. and I = 20 ft.
D. w = 80 ft. and I = 60 ft.
Find the area of four walls of a room (Assume that there are no doors or windows) if its length 12 m., breadth 10 m. and height 7.5 m. ?
Answer:
Refer to the attached file
Hope it helps..
Have a great day : )
Answer:
Hopefully u will satisfy with my answer..!!what polygon is formed?
Answer:
Polygons are figures that are formed by three or more line segments. These line segments, even called sides, meet at their endpoints to form vertices. If we compare the number of sides, diagonals and triangles of a quadrilateral a pentagon and a hexagon we can find a system between the different polygons.
Step-by-step explanation:
. A soccer ball manufacturer claims the diameters of their ball have a standard deviation of 2 mm when properly inflated. Based on a random sample of 10 balls you find a standard deviation of 3.2 mm. Does the sample suggest the standard deviation is higher than that claimed by the manufacturer?
Answer:
Yes, there is significant evidence to support the claim that sample standard deviation is higher than that claimed by the manufacturer
Step-by-step explanation:
Sample standard deviation, s = 3.2
Population standard deviation, σ = 2
Defining the Null and alternative hypothesis :
H0 : σ = 2
H1 : σ > 2
The test statistic :
Use the Relation :.
[(n - 1)*s²] ÷ σ²
[(10 - 1) * 3.2²] ÷ 2²
(9 * 10.24) ÷ 4
92.16 ÷ 4
= 23.04
We obtain the Pvalue for the distribution :
Using the Pvalue from Chisquare distribution calculator :
Pvalue(Chisquare score, df)
df = n - 1 = 10 - 1 = 9
Pvalue(23.04, 9) = 0.006107
Decision :
If Pvalue is < α ; Reject H0 ; α = 0.05
0.006107 < 0.05 ; We reject H0
What is the slope of this line? Please answer quick
Answer:
the slope is 2
Step-by-step explanation: the slope is the rise over run
The answer is 2. In the future try the rise over run method and when the line is / the slop is positive and when it is like \ the slope negative.
Ian paints /8 of a fence. Anna paints 3/4 of another fence. Draw a number line to show that Ian and Anna have painted the same amount of each fence.
Answer:
See attachment for number line
Step-by-step explanation:
Given
[tex]Ian = \frac{6}{8}[/tex]
[tex]Anna = \frac{3}{4}[/tex]
Required
Number line to represent both amounts
The interval on the number line is 16.
So, we need to calculate the position of both as thus.
[tex]Ian = \frac{6}{8} * 16 = \frac{96}{8} = 12[/tex]
[tex]Anna = \frac{3}{4} * 16 = \frac{48}{4} = 12[/tex]
So, both will be positioned on the 12th position.
The yellow dot represents Anna while the blue dot represents Ian
See attachment for their position on the number line
Amy works at an orange juice stand on Monday she used 1 2/5 bags of oranges on Tuesday she used 1 1/4 times as many oranges as on Monday how many bags did she use on tuesday do you know???
A teacher wants to determine how to sit 30 students in a classroom.
What simulation can be used determine where the students sit?
A
A coin is used and assigned for every two students.
B
A six-sided number cube and every 6 students are assigned
a side.
С
A random number generator where each student is assigned a number.
D
A standard deck of cards is used and students are assigned to the cards.
Answer:
I think C. because that will be easier and less chaotic
WILL GIVE BRAINLIEST
Tina's gross pay is $2860. How much of her gross pay will be deducted for FICA taxes? (The Social Security tax is 6.2% of gross pay. The Medicare tax is 1.45% of gross pay.)
$218.79
$205.02
$177.32
$41.47
Tools
Question 11
The table shows the relationship between y, the cost to rent a boat, and the amount of time the boat is rented,
Boat Rental Costs
Time, X Cost, v
(hours) (dollars)
1
3
5
80
7
104
Which graph best represents the relationship between x and y shown in the table
The state of Colorado covers about 1.04 * 105 square miles. The Indian Ocean covers about 2.808 * 107 square miles. How many times bigger than Colorado is the Indian Ocean?
Answer:
270 times
Step-by-step explanation:
The number of times Indian Ocean is bigger than Colorado = 28,080,000 ÷ 104,000 = 270 times.
The drama club is selling tickets to their play to raise money for the show's expenses. Each student ticket sells for $6 and each adult ticket sells for $11. The auditorium can hold at most 100 people. The drama club must make no less than $770 from ticket sales to cover the show's costs. If xx represents the number of student tickets sold and yy represents the number of adult tickets sold, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
Im not really sure what the question is asking but the drama club could sell 70 adult tickes and 30 student tickes and they would make $950.
Step-by-step explanation:
Answer:
possible solution (10,80)
Step-by-step explanation:
Variable Definitions:
x=the number of student tickets sold
y= the number of adult tickets sold
“at most 100 people"→100 or fewer tickets
Therefore the total number of tickets sold, x+y, must be less than or equal to 100:
x+y≤100
“no less than $770"→$770 or more
Each student ticket sells for $6, so x student tickets will bring in 6x dollars. Each adult ticket sells for $11, so y adult tickets will bring in 11y dollars. Therefore, the total amount of revenue 6x+11y must be greater than or equal to $770:
6x+11y≥770
Solve each inequality for y:
x+y≤100
y≤−x+100
6x+11y≥770
11y≥770−6x
y≥ -6/11x+70
Graph y≤100−x by shading down and graph y≥-6/11x+70
by shading up
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y - x = -12.
Answer:
3y=x-12
y=x/3-4
m=1/3
At (18,2)
y-2=1/3(x-18)
y-2=x/3 - 6
y=x/3 - 4
Find the Slope-intercept equation of the line which passes through (3, -4) and (-3, 8).
Answer:
y = -2x + 2
Step-by-step explanation:
8 + 4/ -6
= -2
y = -2x + b
8 = -2(-3) + b
8 = 6 + b
2 = b
check work
-4 = -2(3) + 2
-4 = -6 + 2
-4 = -4
it is correct
-3(d + -2) + -4 = 5
solve for d
Answer:
d=−1
Step-by-step explanation:
−3(d−2)−4=5
Step 1: Simplify both sides of the equation.
−3(d−2)−4=5
(−3)(d)+(−3)(−2)+−4=5(Distribute)
−3d+6+−4=5
(−3d)+(6+−4)=5(Combine Like Terms)
−3d+2=5
−3d+2=5
Step 2: Subtract 2 from both sides.
−3d+2−2=5−2
−3d=3
Step 3: Divide both sides by -3.
−3d
−3
=
3
−3
d=−1
[tex]-3(d+(-2))+(-4)=5[/tex]
[tex]-3d-6+(-4)=5\\-3d-10=-5\\-3d=5\\3d=-5\\d=-\frac{5}{3}[/tex]
HELP ASAPPPPP NO WRONG ANSWER PLS
Answer:
40
Step-by-step explanation:
one cubic cm would be 2x2x2=8 half cm³
you have 1x2x2.5 cm cube = 5 cm³
5 x 8 = 40
another way to look at it:
2 1/2 = 5 half-cubes long
2 = 4 half cubes wide
1 = 2 half cubes tall
5 x 4 x 2 = 40
Ann and Betty shared a sum of money in the ratio 2:3. If Ann received $120,what was the amount of money shared?
Answer:
$420
Step-by-step explanation:
Given data
GIven ratio= 2:3
The total ratio= 2+5= 7
Ann's share= $120
Let us apply the part to all approach
let the total amount be x
so for Ann
2/7= 120/x
cross multiply
2x= 120*7
2x= 840
divide both sides by 2
x= 840/2
x= 420
Hence the amount shared is $420