Answers
Answer:
answer is (x+16)(x-3) I'm sure
______________________________
1.) Factor the expression by grouping:
- First, the expression needs to be rewritten as \(x^2+ax+bx-48\). To find a and b, set up a system to be solved:
\(a+b=13\)\(ab=1(-48)=-48\)2.) List all such integer pairs that give product −48:\(-1,48\)\(-2,24\)\(-3,16\)\(-4,12\)\(-6,8\)3.) Calculate the sum for each pair:\(-1+48=47\)\(-2+24=22\)\(-3+16=13\)\(-4+12=8\)\(-6+8=2\)4.) The solution is the pair that gives sum 13:\(a=-3\)\(b=16\)5.) Rewrite \(\bold{x^2+13x-48}\):\(x^2+13x-48=(x^2-3x)+(16x-48)\)6.) Factor out \(\bold{(x)}\) in the first and 16 in the second group:\(x(x-3)+16(x-3)\)7.) Factor out common term \(\bold{x-3}\) by using distributive property:\((x-3)(x+16)\)
So your answer is \(\bold{(x-3)(x+16)}\) or \(\bold{(x+16)(x-3)}\).
______________________________
Related Questions
loot at the pic and show your work
Answers
6
Step-by-step explanation:
as Follows in the attachment, please mark me as a brainliest
Can you answer these 2 questions??
Answers
explanation: don’t feel like it.
Question 9
1) Which number is a rational number?
134
49
9
13
2
16
Answers
Answer: all of them
Step-by-step explanation:
Rational numbers are represented as dividing two integers, which is a fraction or decimal. Therefore, the numbers stated (134, 49, 9, etc.) are rational numbers since they are all whole numbers.
If m= 3 and n= 2, then m2-n2 is equal to
Answers
Answer:
5
Step-by-step explanation:
(I'm assuming that by m2 and n2 you mean m to the power of 2 and n to the power of 2)
Whenever you have a number to a power, it is the same as that number times itself that power number of times. For example, 3 to the power of 4 is equal to 3 times itself 4 times, which is 3 * 3 * 3 * 3. If we use this and substitute the values in for m and n, we get that 3^2 - 2^2, and since 3^2 is 3 * 3 and 2^2 is 2 * 2 and 3 times 3 is 9 and 2 times 2 is 4, we get that 9 - 4 is 5.
Note: This symbol means to the power of ----> ^
steve and elsie are camping in the desert, but have decided to part ways. steve heads north, at 8 am, and walks steadily at 2 miles per hour. elsie sleeps in, and starts walking west at 2.5 miles per hour starting at 11 am.
Answers
After 2.57 hours, the distance between Steve and Elsie will be 25 miles.
What exactly is the distance?Distance is the sum of an object's movements, regardless of direction. The distance can be defined as the amount of space an object has covered, regardless of its starting or ending point. Use the formula d = st, or distance equals speed times time, to find the distance. Since both represent a certain amount of distance per unit of time, such as miles per hour or kilometers per hour, rate and speed are comparable.So, let t (hours) represent the amount of time Elsie needs to travel before they are 25 miles apart.
Steve takes longer because he is 2 hours earlier, so his time is t + 2.
Steve travels x\(s_s=2(t+2)\) miles to the north.Elsie travels a distance \(s_c=2.5 t\) to the west.So, according to the formula the distance between Steve and Elsie will be:
\(\sqrt{s_s^2+s_c^2}=\sqrt{(2(t+2))^2+(2.5 t)^2}=25\)Solve for t as follows:
\(\begin{aligned}&(2(t+2))^2+(2.5 t)^2=25^2=625 \\&4(t+2)^2+6.25 t^2=625 \\&4\left(t^2+4 t+4\right)+6.25 t^2=625 \\&10.25 t^2+16 t-609=0 \\&t=\frac{-b \pm \sqrt{t^2-4 a x}}{2 a} \\&t=\frac{-16 \pm \sqrt{(16)^2-4 *(10.25) *(-109)}}{2 *(10.25)} \\&t=\frac{-16 \pm 68.74}{20.5}\end{aligned}\)
So, t = 2.57 or t = -4.13.
As we know that time can only be positive so it t = 2.57.Therefore, after 2.57 hours, the distance between Steve and Elsie will be 25 miles.
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The correct question is given below:
Steve and Elsie are camping in the desert, but have decided to part ways. Steve heads north, at 8 AM, and walks steadily at 2 miles per hour. Elsie sleeps in and starts walking west at 2.5 miles per hour starting at 10 AM. When will the distance between them be 25 miles?
Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint a design. He has 14 tubes of blue paint and 20 tubes of yellow paint when he starts.
On day 1, he mixes 4 tubes of blue and 6 tubes of yellow.
On day 2, he mixes 6 tubes of blue and 9 tubes of yellow.
He wants the same green color every time he mixes, so the amounts of blue and yellow should always be proportional to those in the original mixture.
Complete the questions to determine if his mixtures for days 1 and 2 represent a proportional relationship. Then find the highest number of tubes of each color Marc can mix to make the same original shade of green on day 3.
1. What are the ratios of blue paint to yellow paint in the mixtures for days 1 and 2?
Do these ratios represent a proportional relationship? (2 points)
2. How much blue paint did Marc use in total on days 1 and 2? How much yellow paint? (2 points)
3. How many tubes of each type of paint does Marc have left for day 3? (3 points)
4. Marc wants to use the same green for day 3's mixture, so the amounts must be proportional to those in the original mixture. What are the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3? Assume he mixes only whole tubes of paint. (3 points)
also im sorry this question is so long i really need to get this done before 4 pm please help asap! please and thank you :)
Answers
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
We have,
1.
The ratios of blue paint to yellow paint in the mixtures for days 1 and 2 are as follows:
For day 1: 4 tubes of blue to 6 tubes of yellow, which simplifies to 2:3.
For day 2: 6 tubes of blue to 9 tubes of yellow, which also simplifies to 2:3.
Yes, these ratios represent a proportional relationship because they reduce to the same simplified ratio of 2:3.
2.
To calculate the total amount of blue paint and yellow paint used on days 1 and 2:
For day 1: 4 tubes of blue + 6 tubes of yellow = 10 tubes of paint in total.
For day 2: 6 tubes of blue + 9 tubes of yellow = 15 tubes of paint in total.
Therefore,
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total.
3.
To determine the number of tubes of each type of paint Marc has left for day 3:
Blue paint: Marc started with 14 tubes of blue paint and used 10 tubes, so he has 14 - 10 = 4 tubes of blue paint left.
Yellow paint: Marc started with 20 tubes of yellow paint and used 15 tubes, so he has 20 - 15 = 5 tubes of yellow paint left.
Therefore, Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
4.
To find the greatest number of tubes of blue and yellow paint Marc can mix on day 3 while maintaining the same proportional ratio:
Since the ratio of blue paint to yellow paint in the original mixture is 2:3, Marc needs to multiply both numbers by the same factor to find the greatest number of tubes he can mix.
The highest common factor of 4 (tubes of blue paint) and 5 (tubes of yellow paint) is 1.
So, Marc can mix 4 tubes of blue paint and 5 tubes of yellow paint on day 3 while maintaining the same original shade of green.
Therefore, the greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
Thus,
Yes, the ratios of blue paint to yellow paint in the mixtures for days 1 and 2 represent a proportional relationship (2:3).
Marc used 10 tubes of blue paint and 15 tubes of yellow paint in total on days 1 and 2.
Marc has 4 tubes of blue paint and 5 tubes of yellow paint left for day 3.
The greatest numbers of tubes of blue and yellow paint Marc can mix on day 3 are 4 and 5, respectively.
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1.
Calculate the volume of the following cylinders.
Radius = 10 cm
Height = 20 cm
Answers
Answer:
2000pi
Step-by-step explanation:
V of a cylinder = Area of the base × height
Area of a circle = pi × r^2
A = pi × (10)^2 = 100pi
V = 100pi × 20 = 2000pi
What is the measurement of this angle?
Answers
8(y+4)-2(y-1)=70-3y
solve for y
Answers
Answer:
y = 4
Step-by-step explanation:
8(y + 4) - 2(y - 1) = 70 - 3y ← distribute parenthesis and simplify left side
8y + 32 - 2y + 2 = 70 - 3y
6y + 34 = 70 - 3y ( add 3y to both sides )
9y + 34 = 70 ( subtract 34 from both sides )
9y = 36 ( divide both sides by 9 )
y = 4
There are 49 people planning to go on a ride in a
small airplane. Each plane can hold 6 people,
and they want to fill up as many as possible.
How many planes will be needed? [?] planes
How many planes will be full? [ ] planes
How many planes will not be full? [ ] planes
How many people will be in a plane
that is not full? [ ] people
H
Enter
Answers
Answer:
Number of planes needed = total number of people ÷ number of people 1 plane can hold
⇒ number of planes needed = 49 ÷ 6 = 8 1/6 = 8 remainder 1
Therefore, 9 planes will be needed to transport 49 people.
8 planes will be full and 1 plane will not be full.
There will be 1 person in the plane that is not full.
Jack Insurance leases a copying machine for $45 per day that is used by all individuals at their office. An average of five persons per hour arrives to use this
machine, with each person using it for an average of eight minutes. Assume the interarrival times and copying times are exponentially distributed.
What is the probability that a person arriving to use the machine will find it idle?
O A.
0.3333
О B.
0.6666
O C.
0.7777
O D.
0.2222
Answers
The probability that a person arriving to use the machine will find it idle is 1/3 or 0.3333. Option a is correct.
Use the concept of an M/M/1 queue to calculate the probability, which models a single-server queue with exponential interarrival times and exponential service times.
In this case, the interarrival time follows an exponential distribution with a rate parameter of λ = 5 persons per hour (or 1/12 persons per minute). The service time (copying time) also follows an exponential distribution with a rate parameter of μ = 1/8 persons per minute (since each person uses the machine for an average of 8 minutes).
In an M/M/1 queue, the probability that the system is idle (no person is being served) can be calculated as:
P_idle = ρ⁰ × (1 - ρ), where ρ is the traffic intensity, defined as the ratio of the arrival rate to the service rate. In this case, ρ = λ/μ.
Plugging in the values, we have:
ρ = (1/12) / (1/8) = 2/3
P_idle = (2/3)⁰ × (1 - 2/3) = 1/3
Therefore, the probability is 1/3 or approximately 0.3333.
Thus, option (A) is the correct answer.
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PLEASE LOOK AT PHOTO AND ANSWER QUESTION!!!
Answers
Answer:
A
Step-by-step explanation:
the exact number is 1,000 miles per hour
so the closest answer is A
What is 10 times as great as 60,000
Answers
Answer:
600,000
Step-by-step explanation:
All you need to do is multiply 60,000 by 10 and you get 600,000.
Answer:
600,000
Step-by-step explanation:
( A = Answer )
60,000 x 10 = A
&
10 x 60,000 = A
Hope this helped!
The first three terms of an arithmetic sequence are given. Find an expression for Tn in terms of n:
a, 2a, 3a
Answers
Answer:
tn = n·a
t10 = 10a
Step-by-step explanation:
We observe that the coefficient of 'a' is the term number:
tn = n·a
t10 = 10a
Step-by-step explanation:
Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with m 5 1.
Answers
P(X ≤ 4) by using the Cumulative Poisson Probabilities table in : P(X ≤ 4) = 0.785.
In this problem, we are given that the number of failures X in a cast-iron pipe of a particular length follows a Poisson distribution with an expected value (mean) of μ = 1.
To find P(X ≤ 4), we need to calculate the cumulative probability up to 4, which includes the probabilities of 0, 1, 2, 3, and 4 failures. We can use the Cumulative Poisson Probabilities table in the Appendix of Tables to find the cumulative probabilities.
From the table, we can look up the values for each number of failures and add them up to find P(X ≤ 4).
The cumulative probabilities for each value of k are:
P(X = 0) = 0.367
P(X = 1) = 0.736
P(X = 2) = 0.919
P(X = 3) = 0.981
P(X = 4) = 0.996
P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.367 + 0.736 + 0.919 + 0.981 + 0.996 = 0.785
Therefore, P(X ≤ 4) is approximately 0.785 (rounded to three decimal places).
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Complete question
The article "Expectation Analysis of the Probability of Failure for Water Supply Pipes"† proposed using the Poisson distribution to model the number of failures in pipelines of various types. Suppose that for cast-iron pipe of a particular length, the expected number of failures is 1 (very close to one of the cases considered in the article). Then X, the number of failures, has a Poisson distribution with μ = 1. (Round your answers to three decimal places.)
(a) Obtain P(X ≤ 4) by using the Cumulative Poisson Probabilities table in the Appendix of Tables. P(X ≤ 4) =
find the value of x , thank you so much
Answers
Answer:
x = 40
Step-by-step explanation:
All angles in a triangle add up to 180
(3x-10) + 30 + x = 180
4x = 160
x = 40
Answer: x = 40
Step-by-step explanation:
All the interior angles of a triangle add up to 180°
Therefore,
30 + 3x - 10 + x = 180
30 + 4x - 10 = 180
20 + 4x = 180
4x = 160
x = 40
Write 5,806 in scientific notation
Answers
The number can be expressed in scientific notation as 5.806 × 10³.
In scientific notation, a number is written as the product of a coefficient and a power of 10. The coefficient is a number between 1 and 10, and the power of 10 represents the scale or magnitude of the number.
In this case, the coefficient is 5.806, which is between 1 and 10. The power of 10 is 3, which means we move the decimal point three places to the right to obtain the original number.
So, 5.806 × 10³ represents the same value as 5,806. The power of 10 indicates that the number is in the thousands place, and the coefficient gives the exact value of the number.
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5. A researcher plans to compare two treatment conditions by measuring one sample in treatment 1 and a second sample in treatment 2. The researcher will then compare the scores for the two treatments. If there is a difference between the two groups of scores, a. Briefly explain how the difference may have been caused by the treatments. b. Briefly explain how the difference simply may be sampling error.
Answers
The observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.
If there is a difference between the two groups of scores, it suggests that the treatments themselves may have caused the difference. This could be due to a variety of factors related to the treatments, such as the active ingredients or components of the treatments, the dosage or intensity of the treatments, the timing or duration of the treatments, or the specific mechanisms by which the treatments are intended to work. The treatments may have distinct effects on the participants, resulting in observable differences in the measured outcomes.
b. On the other hand, the difference between the two groups of scores could simply be due to sampling error. Sampling error refers to the natural variability that can occur when drawing samples from a larger population. Even if the two treatment conditions are identical in their effects, random chance can lead to differences in the observed scores between the two groups. This could occur if the samples are not perfectly representative of the overall population, or if there are inherent individual differences within the samples that influence the scores. In such cases, the observed difference may not reflect a true difference caused by the treatments, but rather a chance fluctuation due to the random variation in the sample selection process.
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William is a trucker. Today, he is hauling refrigerators that weigh 0.16 tons each. His truck
weighs 15 tons when empty. What is the total weight of the truck with 20 refrigerators on it?
Write and solve an equation to find the answer.
tons
4
Answers
Answer:
Full truck = 18.2 tons
Step-by-step explanation:
FT = ET + 20R. ET (Empty Truck) = 15t
R (refrigerator) = 0.16t
FT = 15t + 3.2t
FT= 18.2t
A jet travels 1731 miles against the wind in 3 hours and 2151 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind
Answers
Velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.
Given,
Jet's velocity against wind 1731 / 3 = 577 mile per hour
flying with wind it 2151 / 3 = 717 miles per hour.
Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.
As such its velocity against wind is x−y and with wind is x+y and therefore
x−y=577;
x+y=717
Adding the two
2x = 1294
x = 647
y= 717 − 647
y = 70
Hence velocity of jet in still air is 647 miles per hour and velocity of wind is 70 miles per hour.
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3. Compare properties of quadrilaterals by answering each question. Write a brief explanation for each answer.
(a) Describe a property of squares that is also a property of rhombi.
(b) Describe a property of squares that is not a property of rhombi.
(c) Describe a property of rectangles that is also a property of parallelograms.
(d) Describe a property of rectangles that is not a property of parallelograms.
Please answer all parts will mark brainliest
Answers
(a) Describe a property of squares that is also a property of rhombi =
The sides are the same length. The opposite angles are equal. Each of the diagonals is the same length and intersects at right angles to each other. The point of intersection of the diagonals divides the diagonal into two equal parts.Has two axes of symmetry. Can be framed with exactly four ways.Has a half-turn symmetry.(b) Describe a property of squares that is not a property of rhombi =
Has 4 axes of symmetry and rotational symmetry level 4Can occupy it in 8 waysAll four sides are the same length (AB = SM = CD = AD)Parallel sides (AB // CD and BC // AD)Each angle is the same size as a squareThe diagonals are the same length (BD = AC)The diagonals intersect at right angles and bisect the length (AO = OC = BO = OD)(c) Describe a property of squares that is not a property of rhombi =
Opposite sides are parallel and the same length (AB = DC and AB // DC, AD = BC and AD // BC) The opposite angles are equal ( and). Two adjacent angles are 180o or are complementary. Sum of all angles = 360o Its diagonals divide the parallelogram into two equal parts.(d) Describe a property of rectangles that is not a property of parallelograms =
Has four sides that are the same length.Has four right angles.Has two diagonals that intersect at right angles to each other.Has quadruple symmetry rectangular.part A: if McDonald's wanted to fence in the square where pasture and Barbed wire fencing cost a $1.50 per foot, then determine the cost to fence in the pasture.Part b: if MacDonald wants to cover the square pasture and fertilizer and then he needs to determine the area of the pasture. What is the area of the pasture in the nearest hundredth?
Answers
A) To fence the squere, we have to calculate the perimeter of the figure so first we have to calculate the side of the square, so we can use the trigonometric identity of sin so:
\(\sin (45)=\frac{x}{750}\)and we solve for x so:
\(\begin{gathered} x=750\sin (45) \\ x=530.33 \end{gathered}\)Now the perimeter will be:
\(\begin{gathered} P=530.33\cdot4+750 \\ P=2871.32 \end{gathered}\)Now the cost will be the perimeter times the cost per foot so:
\(\begin{gathered} C=2871.32\cdot1.50 \\ C=4306.98 \end{gathered}\)B) The are of the pasture will be the addition of the area of the squate plus the area of the triangle so:
\(\begin{gathered} A=A_t+A_s \\ A=\frac{530.33\cdot530.33}{2}+530.33\cdot530.33 \\ A=530.33+1060.66 \\ A=1590.99 \end{gathered}\)Question 13(Multiple Choice Worth 1 points) (8.03 LC) A set of equations is given below: Equation C: y = 7x + 12 Equation D: y = 7x + 2 How many solutions are there to the given set of equations? One solution Two solutions Infinitely many solutions No solution
Answers
Answer: I believe it would be no solution
Step-by-step explanation
Answer:
No solutions
Step-by-step explanation:
y=7x+12;y=7x+2
Step: Solvey=7x+12for y:
y=7x+12
Step: Substitute7x+12foryiny=7x+2:
y=7x+2
7x+12=7x+2
7x+12+−7x=7x+2+−7x(Add -7x to both sides)
12=2
12+−12=2+−12(Add -12 to both sides)
0=−10
can someone helpe me PLEASEEE??????
Answers
Slope is 3/7.
Rise / run.
Rises 3 / runs 7.
Line is positive because the line goes up from left to right.
If this helped please mark branliest
Compare -4 and -9
Greater than or less than
Answers
-4 is closer to 0 than -9
it is further right on the number line
Write −0.39¯¯¯¯¯ as a fraction in simplest form.
Answers
Answer:
-0.3999... = -⅖
-0.393939... = -13/33
Step-by-step explanation:
Only ones I could think of.
Answer:
-39/100
Step-by-step explanation:
Convert this rational number
to its decimal form and round
to the nearest thousandth.
8/9
Answers
Answer:
0.888
Step-by-step explanation:
hope it helps
answer explanation:
Consider the diagram and proof by contradiction.
Given: △ABC with ∠B ≅ ∠C
Prove: AB ≅ AC
Triangle A B C is shown. Angles A B C and B C A are congruent.
Which would prove that AB ≅ AC?
converse of the isosceles triangle theorem
substitution
definition of congruency
converse of the triangle parts relationship theorem
Answers
Answer: converse of the isosceles triangle theorem
Step-by-step explanation:
Answer:
converse of the isosceles triangle theorem
Step-by-step explanation:
Took the test
Eliana is using a magnifying glass. The lens of the magnifying glass has a radius of 4 centimeters. What is the lens's area? Use 3.14 for pi.
Answers
Answer:
\(area = \pi {r}^{2} \\ = 3.14 \times {(4)}^{2} \\ = 50.24 \: {cm}^{2} \)
The Area of the lens is equal to 50.24 cm²
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
Given here: Elliana is using a magnifying glass and radius of the magnifying glass has radius of 4 cm.
The formula for the area of a circle is A = πr², where r is the radius of the circle. The unit of area is the square unit, for example, m², cm², in², etc.
Thus Area of the lens of the glass is equal to A=πr²
=3.14×4²
=50.24 cm²
Therefore the len's Area is 50.24 cm²
Hence, The Area of the lens is equal to 50.24 cm²
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Please help.
True or false
Answers
Answer:
True
Step-by-step explanation:
That is the distance formula.
Answer:
FALSE
Step-by-step explanation:
Distance Formula: \(\sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2}\)