Answer:
p=[tex]x^{2}[/tex]-3x
Step-by-step explanation:
Divide each term by x
Simplify the left side
Cancel the common factor of x
Cancel the common factor
Divide p by 1
Simplify the right side
Simplify each term
Cancel the common factor of x^3 and x
Factor x out of x^3
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide x^2 by 1
Cancel the common factor of x^2 and x
Factor x out of −3x^2
Cancel the common factors
Raise x to the power of 1
Factor x out of x^1
Cancel the common factor
Rewrite the expression
Divide −3x by 1
p=x^2−3x
choose all numbers that round to 30,000 when rounded to the nearest ten thousand
a. 28,5602
b. 20,347
c. 27,563
d. 22,547
Answer:
A & C
Step-by-step explanation:
How many distinct lines of symmetry does the image have?
The image has rotational symmetry after rotating every
Answer:
1) 6 lines of symmetry
2) 360 ÷ 6 = 60°
Construct a polynomial function with the stated properties. Reduce all fractions to lowest terms.
Second-degree, with zeros of −4 and 6, and goes to −∞ as x→−∞.
p(x) =
9514 1404 393
Answer:
p(x) = -x^2 +2x +24
Step-by-step explanation:
When the polynomial has a zero at x=q, it has a factor of (x -q). The zeros of -4 and 6 tell you the factors are (x -(-4)) and (x -6). The end behavior tells you the leading coefficient is negative.
p(x) = -(x +4)(x -6)
p(x) = -x^2 +2x +24
4
Calculate the area of the shaded region. Round to the nearest tenth, as needed.
59
1.3 m 1.7 m
Answer:
0.9m²
Step-by-step explanation:
Find the area of the larger circle, the radius is 0.85m because the diameter is double this - 1.7m:
a = πr² = π × (0.85)² = 289/400πFind the area of the smaller circle, the radius is 0.65 because the diameter is double this - 1.3m:
a = πr² = π × (0.65)² = 169/400πSubtract the two area:
289/400π - 169/400π = 120/400π = 3/10π or 0.942477.. ≈ 0.9m²
Maya, Greg, and Austin sent a total of 81 text messages during the weekend. Austin sent 2 times as many messages as Maya. Greg sent 9 more messages than Maya. How many messages did they each send?
A sequence is defined recursively by
a1=4
an=34an−1
What is the explicit form of this sequence?
9514 1404 393
Answer:
an = 4×34^(n-1)
Step-by-step explanation:
If your recursive definition is ...
[tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]
this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...
[tex]a_n=a_1\times r^{n-1}[/tex]
For the values shown here, the explicit definition of the sequence is ...
[tex]\boxed{a_n=4\times 34^{n-1}}[/tex]
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
PLEASE HELP ITS MATH THANK YOUUUU
A farmer wants to enclose a rectangular field of 15,000 ft^2. It’s width is 470 ft less than its length. What are the dimensions of the field.
Given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftRecall:
Area of rectangle: A = length x widthGiven:
Area of rectangular field = 15,000 sq. ftlength = lwidth = l - 470Required:
Dimensions of the field (the length and the width).Thus, using the area formula, the equation below is derived:
[tex](l)(l - 470) = 15,000[/tex]
Solve for l[tex]l^2 - 470l = 15,000\\\\l^2 - 470l - 15,000 = 0\\\\[/tex]
Factorize[tex](l + 30)(l - 500) = 0\\\\[/tex]
[tex]l = -30 $ or $ l = 500[/tex]
We will go with the positive value, which is 500.
Therefore, the length of the rectangular field is 500 ft.
Width = l - 470
Plug in the value of lWidth = 500 - 470
Width = 30 ft
Therefore, given that the area of the rectangular field is 15,000 sq. ft and it's width is 470 ft less than the length of the of the field, the dimensions of the field would be:
Length = 500 ftWidth = 30 ftLearn more here:
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[tex]\\ \sf\longmapsto 4(x+7)=6x-28[/tex](Corresponding angles are equal)
[tex]\\ \sf\longmapsto 4x+28=6x-28[/tex]
[tex]\\ \sf\longmapsto 6x-4x=56[/tex]
[tex]\\ \sf\longmapsto 2x=56[/tex]
[tex]\\ \sf\longmapsto x=28[/tex]
What is the solution to the following equation? Please help!
Answer :
D
Step By Step Explanation :
Triangle KLM is similar to triangle NOP. Find the measure of side PN. Figures are not
drawn to scale.
Answer:
look at the photo............
1. Scale 1 cm = 250 km
25
Using the scale above, calculate to find how
many km are in the following map distances:
a.) 2 cm =
km
b.) 5 cm
km
c.) 3 cm=
km
Answer:
a= 500km b= 1,250 c= 750
Step-by-step explanation:
a= 250x2=500km
b= 250x5=1,250km
c= 250x3=750km
Supposed the length of a rectangle is three times the width and the area is 300 ft.² then what is the width of the rectangle in feet
Step-by-step explanation:
the area is
A = length × width.
length = 3 × width
=>
A = 3 × width × width = 3 × width²
300 = 3 × width²
100 = width²
width = 10 ft
Solve for x.
5x−2(x+1)=1/4
Enter your answer as a fraction in simplest form in the box.
x =
Answer:
x=3/4
Step-by-step explanation:
Answer:
X= 3/4
Step-by-step explanation:
Distribute
Combine like terms
Add 2 to both sides of the equation
Simplify
Divide both side s of the equation by the same turm
Simplify
When a truck full of boxes arrives at the Silvergrove Post Office, Miguel unloads the truck by placing the boxes
on a conveyor belt. Miguel's coworkers are impressed with how fast Miguel does his job. Miguel can unload 10
boxes in 5 minutes. How long does it take him to unload 40 boxes?
Answer:
20 minutes
Step-by-step explanation:
If Miguel can unload 10 boxes in 5 minutes, that means that he loads 2 boxes per minute. Assuming he he has a constant unloading speed, it would take him 20 minutes to unload all 40 boxes.
I found this by dividing 40 (boxes) by 2 (min per box)
Frank Camp's regular hourly pay rate is $11.87 an hour. His overtime pay rate is time and-a-half. How much
is Frank paid per hour for overtime work?
Answer:
$17.81
Step-by-step explanation:
11.87 x 1.5 = 17.805
On Mrs. Sean's desk,
there are pink and yellow
markers. The ratio of pink
markers to total markers
is 1:3. If there are 16
yellow markers, then how
many markershare pink?
Since the ratio of pink markers to total markers is 1:3, then there are 8 pink markers.
Number of yellow markers given = 16
Based on the information given, therefore, the pink markers will be half of the yellow markers. This will be:
= 1/2 × 16
= 8 markers
Therefore, the total markers will be:
= 8 + 16 = 24
In conclusion, pink markers will be 8/24 = 1/3. Therefore, the number of pink markers is 8.
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The weight of two fish tighter is 16 kg. If one fish weight is 10.5 kg, find the ratio of
the weight of the smaller fish to that of the bigger fish.
There are 3 feet in 1 yard This is equivalent to 12 feet in 4 yards which proportion can be used to represent this?
oft
Answer:
3/1 or 12/4
Step-by-step explanation:
This is the case because all you are doing is converting it into a fraction.
. 3 feet to 1 yard- 3/1
.12 feet to 4 yards- 4/12
find c. 2cm 15 degrees 105 degrees C= [?]cm
Answer:
the answer is 122cm
Step-by-step explanation:
105cm+15cm+2cm=122cm
Our material handlers make $15 per hour, and it takes them about 15 minutes to complete this process. How much is our handling cost?
Answer: $3.75
Step-by-step explanation: $15x15=225/60= 3.75
Our material handling cost is $3.75.
What is cost?A cost function is a mathematical formula used to used to chart how production expenses will change at different output levels.
How to find the cost per process?Material handlers make $15 per hour
If it takes them about 15 minutes to complete this process then process in an hour is 60/15 =4
The cost per process is 15/4 =3.75.
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Select yes or no for each literal equation.
Answer:
No, Yes, Yes
Step-by-step explanation:
[tex]5x + 2y = 3[/tex]
2y = 3 - 5x
y = (3-5x) / 2
FALSE
[tex] \frac{w + 8}{2} = p[/tex]
2P = w + 8
w = 2P - 8
TRUE
[tex]ax + by = c[/tex]
by = c - ax
y = (c - ax) / b
TRUE
Select the correct answer.
What is the equation of the line that has a slope of 1 and passes through the point (1,5)?
Y - 1 = (x + 5)y - 1 = (x + 5)
y - 5 = (x - 1)y - 5 = (x - 1)
y + 1 = (20 – 5)y + 1 = (x - 5)
y + 5 = (x + 1)y + 5 = (1 + 1)
Please I need answer ASAP!! I’ll make you brainliest!!
Answer:b
Step-by-step explanation:
Caleb wants to rent a kayak. Kayak rentals cost $70.58  for a half hour. If Caleb rents a kayak for 5.0 hours, how much will it cost him?
Step-by-step explanation:
divide each of the following: using the two methods
If f(x) is a linear function, what is the value of n?
Х
-4
f(x)
1-25
-10
-1
n
20
2
4
9
Answer:
The value of n is 5.
Step-by-step explanation:
We have been given that f(x) is a linear function and we are asked to find the value of n from the provided table.
x f(x)
-4 -25
-1 -10
n 20
First of all we will find the slope of the given using our given points (-4,-25) and (-1,-10) in slope formula.
m = y2-y1/x2-x1
Upon substituting coordinates of our given points we will get,
m = -10--25/-1--4
m = -10+25/-1+4
m = 15/3
m = 5
Since we know that the equation of a line in slope-intercept form is:
y = mx + b,where, m= Slope and b= y-intercept.
Upon substituting m = 5 in slope-intercept form of equation we will get,
y = 5x + b
Now let us find y-intercept by substituting coordinates of one point in our given line.
-10 = 5(-1) + b
-10 = -5 + b
-10 + 5 = -5 + 5 + b
-5 = b
y = 5x - 5
Now let us find value of n by substituting x = n and y = 20 in our equation.
20 = 5 * n - 5
20 + 5 = 5 * n - 5 + 5
25 = 5 * n
25/5 = 5 * n/5
5 = n
Therefore, the value of n is 5.
I need the answer ASAP
Answer:
It would be 120 inches squared.
Step-by-step explanation:
12 x 8 = 96
6 x 4 = 24 / 2 = 12
12 x 2 = 24
96 + 24 = 120 inches squared
Answer: 80 in 2 cm
Step-by-step explanation: so if you add you can find it but add you answer you get 2 times and round to the nearest ten and you have your answer.
Simplify each expression.
(a^2b^-3/a^-2b^2)2
Answer: a^8/b^10
Step-by-step explanation:in the picture
Keith plays basketball at a gym. He can get a $20 membership card and pay $2 for every visit, or he can go any time and just pay $5 for each visit. Which two equations represent the two options for his
number of visits with his total ccost?
Step-by-step explanation:
Got it. Hope this will help.
How do you evaluate -98 - 13
Evaluations can only be done with algebraic equations
Answer:
-111
Step-by-step explanation:
Subtract 13 from -98