Please help me with problem so I can help my son to understand betterFactor.x^2+14x+48 Enter your answer in the box.
Answers
The polynomial:
\(x^2+14x+48\)has the form:
\(ax^2+bx+c\)with a = 1, b = 14, and c = 48.
This kind of polynomials can be factored as follows:
\(ax^2+bx+c=a(x-x_1)(x-x_2)\)where x₁, and x₂ are the roots of the polynomial. We can find the roots of a quadratic polynomial with the help of the quadratic formula, as follows:
\(\begin{gathered} x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x_{1,2}=\frac{-14\pm\sqrt[]{14^2-4\cdot1\cdot48}}{2\cdot1} \\ x_{1,2}=\frac{-14\pm\sqrt[]{4}}{2} \\ x_1=\frac{-14+2}{2}=-6 \\ x_2=\frac{-14-2}{2}=-8 \end{gathered}\)Using a = 1, x₁ = -6, and x₂ = -8, the factored form is:
\(\begin{gathered} x^2+14x+48=1(x-(-6))(x-(-8)) \\ x^2+14x+48=(x+6)(x+8) \end{gathered}\)Related Questions
1. Simplify the expression below.
-5(3x) + x
A. -15x
B. – 13x
C. -14x
D. –15 + x
Answers
Just multiply 3 with -5 and get -14x. And then add a positive x to get -14x
Answer:
i think it's D or B. i hope this helps I didn't really know what to do
plz plz plz help me its hard for me i dont get it plz im begging
Answers
The value of your stock investment in a certain company decreased 10 % over the last year. If the value of your stock investment is $7000
today, then what was the value of your stock investment a year ago
Answers
The value of the stock a year ago is $7778
How to determine the value of the stock a year ago?The given parameters are:
Depreciation rate, r = 10%
Value of investment today, V(t) = $7000
The value of the stock a year ago is then calculated as:
Value of investment today = Value of investment last year * (1 - Depreciation rate)
Substitute the known values in the above equation
7000 = Last year * (1 - 10%)
Evaluate the difference of 1 and 10%
7000 = Last year * (90%)
Divide both sides by 90%
Last year = 7778
Hence, the value of the stock a year ago is $7778
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A water district has been charging its customers a flat rate of $3.25 per HCF. Because of a drought emergency, it is instituting a block rate of $3.40 for the first 20 HCF and $4.35 for the next 40 HCF. If a family uses an average of52 HCF per month, by what percent would their average bill increase under the block systemTheir average bill under the block system would increase by __%
Answers
Given:
A water district has been charging its customers a flat rate of $3.25 per HCF. Because of a drought emergency, it is instituting a block rate of $3.40 for the first 20 HCF and $4.35 for the next 40 HCF.
Required:
Need to find out the percentage of average bill increase under the block system for a family which uses 52 HCF per month.
Explanation:
The average bill for the family under the normal rate is;
\(\begin{gathered} =3.25\times52 \\ =169\text{ dollars} \end{gathered}\)The average bill for the family under the block rate is;
\(\begin{gathered} =(20\times3.40)+(32\times4.35) \\ =68+139.20 \\ =207.2\text{ dollars} \end{gathered}\)Average bill increase is;
\(\begin{gathered} =207.2-169 \\ =38.2\text{ dollars} \end{gathered}\)Percentage of average bill increase under the block system is;
\(\begin{gathered} =\frac{38.2}{169}\times100 \\ =22.60\% \end{gathered}\)Final Answer:
\(22.60\%\)A marine biologist measured one dish that was 1 1/4 of a foot and a second fish that was 3/4 of a foot long. How much longer was the first fish
Answers
Answer:
1/3 foot longer
Step-by-step explanation:
2/3-1/3=1/3
Given the triangle ABC at points A = ( 2, 2 ) B = ( 4, 5 ) C = ( 6, 3 ), and if the triangle is first reflected over the y axis, and then over the x axis, find the new point A''.
Answers
To reflect a point over the y-axis, we negate the x-coordinate of the point. To reflect the resulting point over the x-axis, we negate the y-coordinate of the point. So, to find the new point A'', we can perform these operations on the original point A:
1. Reflect A over the y-axis to get A': (-2, 2)
2. Reflect A' over the x-axis to get A'': (-2, -2)
Therefore, the new point A'' is (-2, -2).
Two fire-lookout stations are 13 miles apart, with station B directly east of station A.
Both stations spot a fire. The bearing of the fire from station A is N35°E and the
bearing of the fire from station B is N49°W. How far is the fire from station B?
Choose the correct formula given below.
Answers
The distance between the fire and station B is 10.7miles
What is sine rule?The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.
The angle at A = 90- 35
= 55°
The angle at B = 90-49
= 41°
Angle at the fire = 180-(41+55)
= 180-96 = 84°
Using sine rule
sin84/13 = sin55/x
xsin84 = 13sin55
0.995x = 10.65
x = 10.65/0.995
x = 10.7 miles
Therefore the distance between the fire and station B is 10.7 miles.
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Which statement can be represented by the equation Two-fifths x + 9 = 9?
Two-fifths of nine is a number.
Two-fifths of a number is nine.
Nine more than two-fifths of a number is nine.
A number plus nine is the same as two-fifths of nine.
Answers
Given:
The equation is
\(\dfrac{2}{5}x+9=9\)
To find:
The statement for the given equation.
Solution:
For "more" or "plus" we use "+" sign.
For "of" we use "×" sign.
Let x be the unknown number.
Two-fifths of nine is a number.
\(\dfrac{2}{5}(9)=x\)
Two-fifths of a number is nine.
\(\dfrac{2}{5}x=9\)
A number plus nine is the same as two-fifths of nine.
\(x+9=\dfrac{2}{5}(9)\)
These equation are different from the given equation. So, the options A, B and D are incorrect.
Nine more than two-fifths of a number is nine.
\(\dfrac{2}{5}x+9=9\)
It is same as the given equation. Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
I need help ASAP please
Answers
x = number of tickets sold
25x = revenue from the x tickets sold
C = costs
y = profit
y = revenue - costs
y = 25x - C
Since we don't know what the expenses are, we can't replace C with a number.
Need help with proofs, anyone know how?
Answers
Segments MS and QS are therefore congruent by the definition of bisector. Therefore, the correct answer option is: D. MS and QS.
What is a perpendicular bisector?In Mathematics and Geometry, a perpendicular bisector is a line, segment, or ray that bisects or divides a line segment exactly into two (2) equal halves and forms an angle that has a magnitude of 90 degrees at the point of intersection.
This ultimately implies that, a perpendicular bisector bisects a line segment exactly into two (2) equal halves, in order to form a right angle that has a magnitude of 90 degrees at the point of intersection.
Since line segment NS is a perpendicular bisector of isosceles triangle MNQ, we can logically deduce the following congruent relationships;
MS ≅ QSNS ≅ RSMN ≅ QN ∠NMS and ∠NQSΔMNS ≅ ΔQNSRead more on perpendicular bisectors here: brainly.com/question/19154899
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Complete Question:
The proof that ΔMNS ≅ ΔQNS is shown. Given: ΔMNQ is isosceles with base MQ, and NR and MQ bisect each other at S. Prove: ΔMNS ≅ ΔQNS
We know that ΔMNQ is isosceles with base MQ. So, MN ≅ QN by the definition of isosceles triangle. The base angles of the isosceles triangle, ∠NMS and ∠NQS, are congruent by the isosceles triangle theorem. It is also given that NR and MQ bisect each other at S. Segments _____ are therefore congruent by the definition of bisector. Thus, ΔMNS ≅ ΔQNS by SAS.
NS and NS
NS and RS
MS and RS
MS and QS
How many lateral faces does a triangular pyramid have?
one
two
three
four
Answers
Answer:
three
Step-by-step explanation:
The lateral faces are any faces besides the base.
In summary, we will count how many sides there are in a triangular pyramid, and subtract one for the base.
-> A triangular pyramid has four sides / faces
-> A triangular pyramid has three lateral faces
Answer: 3
Step-by-step explanation: i did the quiz
Is the point (90,36) on the line
Answers
Answer:
Do you have a picture
Step-by-step explanation:
to figure it out
There are 75 students in a speech contest. Yesterday, 2/5 of them gave their speeches. Today, 1/3
of the remaining students gave their speeches. How many students still haven't given their speeches?
Answers
Work Shown:
2/5 of 75 = (2/5)*75 = 0.4*75 = 30
Yesterday 30 people gave speeches. There are 75-30 = 45 people left.
1/3 of 45 = (1/3)*45 = 15
Then another 15 people gave speeches today. So there are 45-15 = 30 people who haven't given their speeches yet.
Which multiplication sentences equal to the division sentence?
Answers
Answer:
the second option (middle)
Step-by-step explanation:
This is because when you divide, you flip the second equation. So 14/3 would flip and become 3/14. Hope this helps!
Just help don’t ask please
Answers
Step-by-step explanation:
change graphic into alohabet so it is easier to see
solve easy equation with only a type of unknown first..
once you found the value of the unknownm , substitute it in any equation so you can find the value of other unknown.
HELP ASAP ROCKY!!! will get branliest.
Answers
Answer:
2nd Option.
Step-by-step explanation:
The 2 lines are intersecting each other. That means the point of intersection is the solution set to the systems of linear equations.
This translate into that point (4, 4) in the graph works for both line A and line B.
The two lines intersect at a point (4,4), which is the solution of the two linear equations.
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answers
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
Juan sold a bicycle at a discount of 15%. If the selling price was $340, find the usual price of the bicycle.
Answers
Answer: $400
Step-by-step explanation:
Discount = 15%
The original price/value of an item is always 100%
So selling price (%) = original price - discount = 100%-15% = 85%
We got selling price as 85%
This implies that 85% = 340
Let's find 1% first, then 100%
1% = 340÷85 = 4
100% = 4 × 100 = $400
The usual (normal/original) price is $400
Juan sold a bicycle at a discount of 15% if the selling price was $340 then the usual price of the bicycle was $400.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Let's represent the usual price of the bicycle by P.
Since Juan sold the bicycle at a discount of 15%, the selling price (S) would be 85% of the usual price (P).
We can express this relationship as an equation:
S = 0.85P
We also know that the selling price of the bicycle was $340.
Substituting S = $340 into the equation above, we get:
$340 = 0.85P
To find P, we can solve for it:
P = $340 / 0.85
P = $400
Therefore, the usual price of the bicycle was $400.
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Show a free-body diagram. For each: a. Redraw the diagram. b. Identify the direction of the acceleration vector and show it as a vector next to your diagram. Or, if appropriate, write . c. If possible, identify the direction of the velocity vector and show it as a labeled vector. d. Write a short description of a real object for which this is the correct free-body diagram. Use Examples and 5.6 as models of what a description should be like.
Answers
A) Acceleration Direction
The net force is acting down the surface, as seen in the figure. As a result, the acceleration vector should likewise be directed down the surface.
Labeling the vector of acceleration
The acceleration vector is depicted below:
B) Determine the velocity vector
According to the free-body diagram, an item should be on an inclined surface with a tension force pulling it down. When a kinetic frictional force is directed up to the surface, the item is said to be sliding down the slope. As a result, the velocity vector should be oriented upside down.
Determine the direction of the velocity vector
The velocity vector is indicated in the picture below:
C) Describe a real-world thing
The diagram shows an item on an inclined surface, with the kinetic force directed up to the surface. As a result, the item may be thought of as a box being pulled down by a rope down an inclined slope.
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Full Question
Problems 35 through 40 show a free-body diagram. For each:
a. Redraw the diagram
b Identify the direction of the acceleration vector and show it as a vector next to your diagram. Or, if appropriate, write
c. If possible, identify the direction of the velocity vector and show it as a labeled vector.
d Write a short description of a real object for which this is the correct free-body diagram. Use Examples 5.4, 5.5, and 5.6 as models of what a description should be like.
what is 2 1/2 divided by 1/3 {pls hurry the teacher is not letting us use brainly}
Answers
Answer:
7 1/2
Step-by-step explanation:
2 1/2 ÷ 1/3
Change to an improper fraction
(2*1+2)/2 ÷ 1/3
5/2 ÷1/3
Copy dot flip
5/2 * 3/1
15/2
Change to a mixed number
7 1/2
Use a graphing calculator or other technology to answer the question.
Which quadratic regression equation best fits the data set?
Answers
Answer: y = -1.62\(x^{2}\) + 34.89x-5.57
Step-by-step explanation:
If you plug in these points into a TI-84 and use the quadratic regression function, then you'll get this answer.
Simplify the following expression.
Answers
Answer:
-1
Step-by-step explanation:
\(3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1\)
Answer:
-1
Hope you could get an idea from here.
Doubt clarification - use comment section.
tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar how much flour and sugar coral will be use to make the cookies
Answers
The flour and sugar coral that will be use to make the cookies is 2 1/4 cups.
How to calculate the fraction?A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.
In this situation, Tucker is making cookies the recipe called for 1/3/4 cups of flour and 1/2cup of sugar.
The flour and sugar coral that will be use to make the cookies will be:
= 1 3/4 + 1/2
= 2 1/4
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Ayudaaaaaaaaaaaaaaaa
Answers
Answer:
pwede po bang ayusin ang pagkaka
picture
Step-by-step explanation:
hindi kasi maintindihan
HELP EMERGENCY!!!! (2.5 x 10-10) (7 x 10-5)
Express your answer in scientific notation.
Answers
Answer:
\(1.75\) × \(10^{-15}\)
I hope this helps!
Each girl on a cheerleading squad bought a bear. The leader paid for their cheerleading outfits for each of them. She spent $175. Write and solve an equation to find how many cheerleading outfits, c, the leader bought. Cheerleading outfit cost- $12.50
Answers
Answer:
175 ÷ 12.50 = 14
Step-by-step explanation:
16
Find the exact value of x
X =
30
Do the side lengths form a Pythagorean triple?
O Yes
O No
Answers
The exact value of x is √1156 and it follows the Pythagorean triple
Finding the exact value of xFrom the question, we have the following parameters that can be used in our computation:
Legs of the right triangle = 16 and 30
Using the pythagoras theorem, we have
Hypotenuse^2 = the sum of the squares of the other lengths
So, we have
x^2 = 16^2 + 30^2
When evaluated, we have
x^2 = 1156
This gives
x = √1156
Hence, the exact value is √1156
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For his long distance phone service, joe pays a $3 monthly fee plus 11 cents per minute. Last month, joe's long distance bill was $17.96. For how many minutes was joe billed
Answers
Answer:
136 minutes
Step-by-step explanation:
The amount that Joe pays is in two parts. He pays a definite amount for the month plus the amount per minute charge.
Thus,
Joe's monthly fee = $3 + $0.11n
where n is the number of minutes.
Joe's bill for the month = $17.96
So that,
$17.96 = $3 + $0.11n
$17.96 - $3 = $0.11
14.96 = $0.11n
n = \(\frac{14.96}{0.11}\)
= 136
The number of minutes that Joe was billed is 136.
In this case, Joe was billed for 136 minutes for the month.
By the end of the first week a movie had grossed $2.3million. By the end of is six week, it had grossed $6.8million. Graph the data with the week on the vertical axis, and draw a line through the points.Then find and interpret the slope of the line.
Answers
Answer:
The first step is to label the points being (1,2.3),(6,6.8) in which the first ordered pairs is the number of weeks, and the second one is the dollars in millions.
Hence, the slope is: m=(6.8-2.3)/(6-1) = 4.5/5 = 9/10 = 0.9
The slope represents the dollar rate in the millions per week. In this case, the movie grossed $0.9 million per week from week one to the sixth week.
A package of 25 fishing hooks costs $9.95 , while a package with 40 hooks costs $13.99 . Which is the better buy? Round your answer to the nearest cent if necessary.
Answers
Therefore, the package with 40 hooks is the better buy in terms of cost efficiency.
To determine which package is the better buy, we need to compare the cost per hook for each package.
For the package of 25 hooks costing $9.95, we divide the total cost by the number of hooks:
Cost per hook = $9.95 / 25 = $0.398
Rounding to the nearest cent, the cost per hook is $0.40.
For the package of 40 hooks costing $13.99, we divide the total cost by the number of hooks:
Cost per hook = $13.99 / 40 = $0.3498
Rounding to the nearest cent, the cost per hook is $0.35.
Comparing the two costs per hook, we can see that the package with 40 hooks for $13.99 offers a better deal, as the cost per hook is lower at $0.35.
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