A rectangle is a 2-dimensional shape having 4 sides. The width of the rectangle is 5x^2 + 4x - 6
How to find the quotient of a function using synthetic division?A rectangle is a 2-dimensional shape having 4 sides
The formula for calculating the area of the rectangle is given as:
A = lw
Given the following
Area = 5x^3+19x^2+6x-18
Length = x + 3
Using the synthetic division:
5x^2 + 4x - 6
x + 3 | 5x^3+19x^2+6x-18
5x^3 + 15x^2
________________________
4x^2 + 6x
4x^2 + 12x
__________________________
-6x - 18
-6x - 18
Hence the width of the rectangle is 5x^2 + 4x - 6
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Answer:
A
Step-by-step explanation:
pleaseeee helppp i’m running out of time
Answer:
Square Root of 162 ~ 12.727
Step-by-step explanation:
Simply do the Pythagorean Theorem!
a^2 + b^2 = c^2
This case we're solving for the long side which is the hypothenuse.
9^2+9^2= c^
81+81=c^
162=c^
Square root of 162
Which is 12.727
Can someone please tell me the rest of the answers?
Answer:
35 miles per hour.
223 minutes to reach destination.
Step-by-step explanation:
It's counting down by 35
35 miles per hour.
260/35=7.42857142857
7.42857142857*30=222.857142857
Rounding to nearest whole number
223
SonicIsCoool
On Scratch you tube, Inst and much more here to help :)
Lisa brought $5.60 to the bakery. She spent $2.95 on cupcakes. How much money does Lisa have left?
Answer:
2.65
Step-by-step explanation:
5.60-2.95 = the sum of the money left.
Use the number line below to determine which of the following answer choices has statements that are all true.
Answer:
I agree with D
Step-by-step explanation:
just because
Two lines that are ____________ have one solution.
Answer:
Not parallel
Step-by-step explanation:
Could be perpindicular or not parallel
Help me in this graph question please
Answer:
D
Step-by-step explanation:
In the first year the height of the plant is 3 feet, the second year is 6 feet etc.
Please help me I really need it
Answer: 170
Step-by-step explanation: Like I answered before: Angle G and Angle H are consecutive angles, meaning they both add up to 180 degrees. Thus, if 10 is the value of Angle G, Angle H must be 170.
Answer:
<CDA = 170⁰
Step-by-step explanation:
<A + <D = 180⁰ { Adjacent Angles of an parallelogram are supplementary}
10⁰ + <D = 180⁰
<D = 180⁰ - 10⁰ = 170⁰
<D = x⁰ = 170⁰ = <CDA
Why 00,13,589 is not the smallest possible 7-digit number?
Answer:
1000000 is the smallest 7-digit number
Express the function graphed on the axes below as a piecewise function.
Answer:
f(x) = {x-3 for x ≤ -1; -3x+14 for x > 5}
Step-by-step explanation:
To write the piecewise function, we can consider the pieces one at a time. For each, we need to define the domain, and the functional relation.
__
Left PieceThe domain is the horizontal extent. It is shown as -∞ to -1, with -1 included.
The relation has a slope (rise/run) of +1, and would intersect the y-axis at -3 if it were extended.
The first piece can be written ...
f(x) = x-3 for x ≤ -1
__
Right PieceThe domain is shown as 5 to ∞, with 5 not included.
The relation is shown as having a slope (rise/run) of (-3)/(1) = -3. If extended, it would intersect the point (5, -1), so we can write the point-slope equation as ...
y -(-1) = -3(x -5)
y = -3x +15 -1 = -3x +14
The second piece can be written ...
f(x) = -3x +14 for x > 5
__
Whole functionPutting these pieces together, we have ...
[tex]\boxed{f(x)=\begin{cases}x-3&\text{for }x\le-1\\-3x+14&\text{for }5 < x\end{cases}}[/tex]
_____
Additional comment
Sometimes it is convenient to write inequalities in number-line order (using < or ≤ symbols). This gives a visual indication of where the variable stands in relation to the limit(s). Perhaps a more conventional way to write the domain for the second piece is, x > 5.
(Please someone help me!) (No links!)
What do I put??
Answer:
X=16
Missing angle = 48
Step-by-step explanation:
round 7.430499778 to the nearest millionth
A researcher weighed watermelons grown across a certain region. The data are rounded to the nearest pound and displayed in this histogram.
What does the fourth bin represent?
Select from the drop-down menu to correctly complete the statement.
Four watermelons weigh
Answer:
at least 12 pounds but less than 16 poundsStep-by-step explanation:
as you can see on the chart its less then 16 but at least 12 pounds
Explanation:
I took the K12 5.08 Quiz: Create and Interpret Histograms.
I will only list the questions and the CORRECT answers below.
1. A shopping center keeps track of the number of customers in each store at lunch time. The data shows the number of customers in the 15 different stores in the shopping center last Sunday.
4, 18, 20, 17, 16, 23, 19, 14, 8, 8, 6, 12, 10, 14, 18
0-4 = 1
5-9 = 3
10-14 = 4
15-19 = 5
20-24 = 2
2. The list shows the distance driven by 10 different families on vacation.
199, 58, 180, 226, 191, 201, 167, 180, 199, 205
Which frequency table represents this data?
Miles Driven Frequency
0 - 49 0
50 - 99 1
100 - 149 0
150 - 199 6
200 - 249 3
3. How many more students have 2 or 3 siblings than 4 or 5 siblings?
9 students.
4. How many shoppers are at least 30 years old?
5 shoppers.
5. What does the fourth bin represent?
Four watermelons weigh
At least 12 pounds but less than 16 pounds.
Hope you do well on future quiz's!! Have an amazing year/decade!
What are souloutions to (x+9)^2=49
Tell me how to describe the translation
figure IMQU vertically over +4
Number Sense George is thinking of a number less than 10 that has an odd product when multiplied by 5. What could George's number be?
Write the equation of the given line in slope-intercept form:
Answer:
Step-by-step explanation:
so u add it like its a shape and put a x and there :)Ann is flipping a coin and rolling two dice. How many outcomes are possible?
Step-by-step explanation:
The coin can result in one of two possibilities. For each of those . . .
The cube has 6 possibilities.
Total possibilities for the coin and the cube = 2 x 6 = 12
please help fast it is due
A right triangle with a 45 degree angle means the two short sides are the same, so y = 30
the hypotenuse is the length of the side x sqrt (2), so x =30sqrt(2)
answer: x = 30sqrt(2) and y = 30
If f(x) = 10x^3-37x^2+15x+18 and x-3 is a factor of f(x), then find all of the zeros of f(x) algebraiclly.
Answer:
x=6/5 and x=-(1/2)
Step-by-step explanation:
[tex]f(x) = 10x^3-37x^2+15x+18\\f(x) = \frac{(5x-6)(2x+1)(x-3)}{(x-3)}\\ f(x) = (5x-6)(2x+1)[/tex]
To find the zeros, we set f(x) = 0 for both factors
[tex]5x-6=0\\5x=6\\x=6/5[/tex]
[tex]2x+1=0\\2x=-1\\x=-1/2[/tex]
Therefore the zero's of f(x) are x = 6/5 and x= -(1/2)
Quickly before the timer runs out
Answer:
47°
Step-by-step explanation:
sum of angles in triangle=180
x + 90 + 43 = 180
x = 180 - 90 - 43
= 47
Hope it helps:)
what is the slope of line QX? X(5,5) and Q(4,1)
Answer:
4
Step-by-step explanation:
[tex]slope = \frac{5 - 1}{5 - 4} \\ = \frac{4}{1} \\ = 4[/tex]
Answer: 4
Step-by-step explanation:
Slope is rise over run, which is the change in the y-values divided by the change in the x-values. Each point is given as a coordinate pair: (x,y).
For point Q (4,1) the y-value is 1 and the x-value is 4.
For point X (5,5), the y-value is 5 and the x-value is 5.
To find the slope, take the y-value for point X minus the y-value for point Q. That is the numerator of your slope. Then take the x-value for point X minus the x-value for point Q. That is the denominator of your slope.
The numerator divided by the denominator equals the slope.
(5-1)/(5-4) = (4)/(1) = 4
what's the answer to this question and how do I solve it?
Answer:
80 gummy bears are in 4 servings.
Step-by-step explanation:
2 servings=40 gummy bears
3 servings=60 gummy bears
40+20=60
Add 20 gummy bears for every serving.
5 servings=100 gummy bears
100-20=80 gummy bears are in 4 servings
OR you can also do:
40÷2=20 gummy bears are in each serving
So, 4x20=80 gummy bears are in 4 servings
Which of the following numbers CANNOT represent the probability of an event?
A. -0.5
B. 1
C. 0
D. 0.675
-0.5 cannot represent the probability of an event.
Correct option is (A).
What is Probability?This branch of mathematics deals with the occurrence of a random event. The value's range is 0 to 1. Arithmetic uses probability to predict how probable certain events are to occur. Probability generally refers to the degree to which something is likely to occur.
As per the given data:
We have to find out that, which of the following numbers CANNOT represent the probability of an event.
Probability of an event = [tex]\frac{Favorable \: Events}{Total \: Number \: of \: Events}[/tex]
Favorable events or total number of events can never be negative, hence the probability of any event cannot be negative.
So from the above reasoning we can say that -0.5 cannot represent the probability of an event.
Hence, -0.5 cannot represent the probability of an event.
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what is the correct answers NEED ANSWERS FOR BOTH ASAP
Answer:
group like terms and solve
Find the median of the data in the box plot below.
dollars
Cost of each lunch for the month (in dollars)
8
9
10
7
4.
5
6
Сл
Report a problem
Stuck? Review related articles/videos or use a hint.
A bag of flour weighs 2.5 kilograms.
About how much does the bag weigh in pounds ?
Round to the nearest tenth
I'll give you 55 points
Answer:
5.5 pounds
Explanation:
weight in kg = 2.5 kilograms
conversion:
1 kg ↔ 2.205 pounds
solve:
2.5 kilograms = (2.5 * 2.205)2.5 kilograms = 5.511557 pounds2.5 kilograms = 5.5 pounds ( rounded to nearest tenth )Answer:
5.5 pounds (nearest tenth)
Step-by-step explanation:
1 kilogram = 2.20462262 pounds
To determine how many pounds are in 2.5 kg, multiply by 2.5:
⇒ 2.5 kilograms = 2.20462262 × 2.5
= 5.5 pounds (nearest tenth)
Lucia checked her online bank statement which shows the current balance is $412.76, pending withdrawals are $481.23, and pending credits are $134.00. What is Lucia's current available balance? (4 points)
−$202.47
$65.53
$123.67
$777.20
Considering the withdraws and credits, Lucia's current available balance is of $65.53.
How do we find a balance?It is given by the sum of the money that the people has with the pending credits, and subtracted by the pending withdraws.
In this problem, we have that:
Lucia has $412.76, with pending credits of $134.00.She has pending withdraws of $481.23.Hence, her avaiable balance is given by:
412.76 + 134 - 481.23 = $65.53.
More can be learned about balances at https://brainly.com/question/26867415
Hi. What's 8.563 + 4.8292?
Answer:
8.563 + 4.8292 = 13.3922
Step-by-step explanation:
Remember to line up the decimal points and put zeros in any right-hand columns that don't have numbers if necessary (ex: 8.5630 + 4.8292).
Hope this helps!!
The table shows the possible outcomes of spinning the given spinner and tossing a fair coin. find the probability of spinning a 1 and tossing a head.
Considering a six-sided spinner, it is found that the probability of spinning a 1 and tossing a head is of [tex]\frac{1}{12}[/tex].
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For the spinner, one is one out of six possible outcomes.For the coin, a head is one out of two possible outcomes.Since the events are independent, the probability of spinning a 1 and tossing a head is given by:
[tex]p = \frac{1}{6} \times \frac{1}{2} = \frac{1}{12}[/tex].
More can be learned about probabilities at https://brainly.com/question/14398287
Please help for mooolah :(((
Answer: 61 in^2
Step-by-step explanation
triangle length = half of left side + 1.5
triangle length = 2 + 1.5 = 3.5
triangle area = (.5)(base)(length)
triangle area = (.5)(6)(3.5) = 10.5
you have 2 triangles
10.5 + 10.5 = 21
area of rectangle = left side width x length
area of rectangle = 4 x 10 = 40
add areas
21 + 40 = 61
Answer:
61 in^2
Step-by-step explanation:
The arrow is made of a rectangle and a triangle.
The rectangle's lengths is 10 in by 4 in. So, its area is 10 in * 4 in = 40 in^2
The triangle's lengths are 7 in by 6 in. So, its area is (7 in * 6 in)/2 = 21 in^2
add everything together.