The factors of the given model are (x+2) and (x+7)
Given the representation of the model expressed as;
[tex]x^2+9x+14[/tex]
To get the factors, we will factorize the given quadratic function as shown:
[tex]g(x) = x^2+2x+7x+14[/tex]
Group the functions to have;
[tex]g(x) = (x^2+2x) + (7x+14)\\[/tex]
Factor out the GCF from both parenthesis:
[tex]g(x) = x(x+2)+7(x+2)\\g(x)=(x+2)(x+7)[/tex]
Hence the factors of the given model are (x+2) and (x+7)
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Write the percent as a fraction or mixed number in simplest form.
31.25%
Please show work!
Un terreno Forma rectangular mide X +4 de alto y de base X +10 indica la expresión algebraica que expresa el área del terreno
Answer:
X^2+14x +40
Step-by-step explanation:
La base es x+4 y la altura es x+10 multiplicas la base por la altura
whats the slope of (-5,-11) and (-2, 1)
Answer:
4
Step-by-step explanation:
Esma has a box that is 20 cm wide 10 cm high, and 10 cm deep she wants to fill the box with packages that are 5 cm wide 2 cm high and 2 cm deep what is the greatest number of packages that she can put in the box with out it overfilling
Answer:
Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.
Step-by-step explanation:
Find the roots of the equation: y^2-1/16=0
Answer:
1/4, -1/4
Step-by-step explanation:
Simply solve for y
1. A hat store tracks the state of college and professional team hats for m, months. The number of
college hats sold is represented by (6m+3). The number of professional hats sold is represented by
(5m-2). Write an expressions to show how many more college hats were sold than professional hats.
Then evaluate the expression if m equals 10.
NYS
2. Which expression is equivalents to the expression -3(4x-2)-
2x ? Explain the process you used to find your solution.
A. -8x
B. -16%
C. -14x-2
D. -14x + 6
3. A square scrapbooking page has a perimeter of (8x+20) inches. What is the length of one side of the
scrapbooking page? Show your work.
1) The expression representing how many more college hats were sold than professional hats is [tex]m+5[/tex]
when [tex]m=10[/tex], [tex]15[/tex] more college hats were sold
2) The equivalent expression to [tex]-3(4x-2)-2x[/tex] is [tex]-14x+6[/tex]. The explanation is found in the steps below
3) The length of one side of the square scrapbooking page will be
[tex](2x+5)\text{ inches}[/tex]. The working is shown below.
1) According to the question, [tex]m[/tex] is the number of months hats were sold.
[tex]6m+3[/tex] is the number of college hats sold in [tex]m[/tex] months
[tex]5m-2[/tex] is the number of professional hats sold in [tex]m[/tex] months
Since [tex]6m+3>5m-2[/tex] when [tex]m>0[/tex]
the expression representing how many more college hats were sold than professional hats is
[tex](6m+3)-(5m-2)\\=6m+3-5m+2\\=m+5[/tex]
when the number of months hats were sold is [tex]10[/tex], [tex]m=10[/tex], and
[tex]m+5=(10)+5=15hats[/tex]
[tex]15[/tex] more college hats were sold in [tex]10[/tex] months
2) To get the equivalent expression to [tex]-3(4x-2)-2x[/tex], carry out the steps below
remove brackets
[tex]-12x+6-2x[/tex]
arrange like terms
[tex]-12x-2x+6[/tex]
simplify like terms
[tex]-14x+6[/tex]
The answer is (D)
3) Let the length of one side of the square be [tex]s[/tex]
The perimeter will be
[tex]4s=8x+20[/tex]
making [tex]s[/tex] the subject of the formula
[tex]\dfrac{4s}{4}=\dfrac{8x+20}{4}\\\\s=(2x+5)\text{ inches}[/tex]
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There are 5 groups of 5 pencils. Which number sentence can you use to find how many pencils there are in all
Answer:
5x5= 25
Step-by-step explanation:
what are integer solutions to the equality below-2 < x < 2
Answer:
-1, 0, 1
Step-by-step explanation:
Intengers are whole numbers. those 3 numbers are the only intengers between -2 and 2
May I please receive help?
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = [tex]\sqrt{23}[/tex]
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Mrs. Owens had to call the local plumber to install a hot water heater. the equation y= 50x+75 is the relationship between his hours worked (x) and the amount of the bill (y).A. How much money did the plumber charge for the service call? How can you tell from the equation?B. How much is the plumber charging per hour? How can you tell from the equation?
Answer:
A. He charges 75 dollars for the service call because the y-intercept of the equation is 75.
B. He charges 50 dollars per hour because the slope of the equation is 50.
Step-by-step explanation:
Pls help me sue tmr pls pls pals question 6
Answer:
Ankita is 135cm tall and Nita is 150cm tall- to find what percent of Nita's height Ankita represents you would divide ankita's height by Nita's height then multiply the answer by 100%
135cm/150cm = 0.9 (the centimetres cancel out and leaves a generic unit) then 0.9 x 100% = 90%
so Ankita is 90% of the height of Nita
Step-by-step explanation:
The table shows the amount of time a delivery truck has been driving and the distance traveled. The total distance traveled is a direct variation of the number of hours. Use the model below to find the slope.
The slope of the line represents that the a distance of 55 miles is covered each hour
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the distance in miles covered in x hours.
Using points (2, 110) and (7, 385) from the table:
[tex]slope(m)=\frac{y_2-y_1}{x_2-x_1}=\frac{385-110}{7-2}\\\\m=55[/tex]
Therefore the slope of the line represents that the a distance of 55 miles is covered each hour
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You sell tickets for admission to your school play and collect a
total of $156. Admission prices are $8 for adults and $4 for
children, you sold 24 tickets. How many adult tickets and how
many children tickets did you sell?
Answer:
adults 15 and children 9
Step-by-step explanation:
find area of parallelogram multiple choice
refer to image.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP
MUST. give thoughtful explanation
In ∆ABD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}bh=\dfrac{1}{2}(7\times 4)[/tex]
In ∆BCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)[/tex]
Now
IN PARALLELOGRAM ABCD
[tex]\\ \sf\longmapsto Area=\dfrac{1}{2}(7\times 4)+\dfrac{1}{2}(7\times 4)[/tex]
Option A
Aisha bought 15 apples and oranges for $9. 0. Each orange costs $0. 50, and each apple costs $0. 65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought? x y = 15. 0. 5 x 0. 65 y = 9. 00 x = y. 0. 5 x 0. 65 y = 9. 00 x y = 9. 0. 5 x 0. 65 y = 15. 00 x = y. 0. 5 x 0. 65 y = 15. 0.
Answer:
x + y = 15
0.5x + 0.65y = 9
Step-by-step explanation:
x = number of oranges
y = number of apples
total of apples and oranges is 15 so x + y = 15
total cost of apples and oranges is $9 so 0.5x + 0.65y = 9
Calculation
y = 15 - x
0.5x + 0.65(15-x) = 9
0.5x - 0.65x + 9.75 = 9
-0.15x = - 0.75
x = 5
y = 15 - x = 15 - 5 = 10
PLEASE HELP!!!
A golfer hits a ball with an initial velocity of 32.7 m/s from the ground. Find the following (round all answers to 2 decimal places...no units):
When does the ball hit the ground? ___
What is the highest height the ball goes? ___
When does the ball reach its max height? ___
How high is the ball after 4.3 seconds? ___
When is the ball 24 meters off the ground? ___ and ___ (enter the smaller value first)
Answer: 1. it doesnt since the velocity is so high, it will land in the water.
2. the ball goes about 500 feet in the air.
3. the ball reaches its max height when it starts to go down
4. the ball is at 250 since it takes 8.6 seconds for it to reach 500 feet
Step-by-step explanation:
Help Me On These 3 Please
Answer:
see explanation
Step-by-step explanation:
(1)
Using the sine ratio in the right triangle
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{4}{6}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{4}{6}[/tex] ) ≈ 41.8° ( to the nearest tenth )
(2)
Using the tangent ratio in the right triangle
tan x = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{29}{14}[/tex] , then
x = [tex]tan^{-1}[/tex] ([tex]\frac{29}{14}[/tex] ) ≈ 64.2° ( to the nearest tenth )
(3)
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{25}{40}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{25}{40}[/tex] ) ≈ 51.3° ( to the nearest tenth )
1) You are considering buying a three-year warranty for a new air conditioner unit for $350. The warranty will cover the $2,800 replacement cost if the unit breaks down. Suppose the probability that the unit breaks down in the three year period is 8%. Based ONLY on this information, should you buy the warranty?
Answer:
The expected value is -$126- you should not buy the warranty.
Step-by-step explanation:
You will pay $350 for a warranty that pays $2800, therefore the net value is $2800 - $350.
E(x)= (2800-350)(.8)+(-350)(.92)= -126
. If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
If there are 20 girls in a class of 30 students, find out the percentage of boys in the class?
✍ Answer:>> If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)>> Therefore;
Percentage that are boys = (no.of boys/total students) x 10010/30 * 100 = 33.3%#CarryOnLearning
- Happy Holidays -
The percentage of boys in the class is 33.3%
If the class has 30 students and 20 girls then;
Boys = (30 - 20 = 10)
Percentage that are boys = (no.of boys/total students) x 100
10/30 * 100 = 33.3%
What's percent in math?The percentage is a relative fee indicating the hundredth component of any amount. One percentage (symbolized 1%) is one centesimal part; as a result, 100 percent represents everything and 2 hundred percent specifies twice the given amount. percentage. associated subjects: mathematics percentile.
Multiply the number by means of 100. If you are required to convert a decimal number like 0.57 to a %, you simply multiply it through one hundred. that is 0.57 x 100 = 57. therefore, 0.57 as a percent equals 57%.
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There are 120 people at a party 1/3 of the people leave the party work out the number of people still at the party
Answer:
There is 80 people still at the party
Step-by-step explanation:
To find how many people are still at the party we first have to find how much 1/3 of 120 is.
∴120/3=40
then we subtract 1/3 of 120 from 120 to get the answer
∴120-40=80
Pls answer these questions
Answer:
I believe the answers are
B) 1
D) $1,000
Step-by-step explanation:
-12 + 2a = -6(1 + a) + 8a
help pleaseeeeeeeeeeeee
Answer:
C
Step-by-step explanation:
if its not the same on both sides its not communitave. hope this helps
A pentagon has angle measures of 103°, 105°, 114° and 113°. What must the fifth angle measure?
Answer:
105°
Step-by-step explanation:
A pentagon has a total of 540°
103 + 105 + 114 + 113 = 435
540 - 435 = 105
I hope this helps!
Find the first three term if the general nth term is T = 2-n
Tn = 2n - 6
to find first term ,n= 1
substitute n for 1 in the equation
T1 = 2(1) - 6
T1 = 2 - 6 =-4
to find second term , n =2
substitute n for 2 in the equation
T2 = 2(2) - 6
T2 = 4 - 6 = -2
to find third term, n = 3
substitute n for 3 in the equation
T3 = 2(3) - 6
T3 = 6–6 = 0
FIRST TERM = -4
SECOND TERM = -2
THIRD TERM = 0
What is the circumference of the top of the water buoy? Round your answer to the nearest tenth.
37.7 feet
28.3 feet
113.0 feet
84.8 feet
Answer:16.3 inches. What is the area of this plate? Use 3.14 for pi. Round to the nearest whole number.
Step-by-step explanation:
Find the EXACT distance between the two points.
(4,7) and (−4,9)
ANSWER: [tex]y=-\frac{3}{4} x +6 <=>3x=24-4y[/tex]
Ok done. Thank to me :>
What is the value of this expression? 4/15+3/5−2/3 Quick
Answer:
I think that would be 1/5
Explanation:
Hope this helps!
Are the given lines parallel? How do you know?
Y=0, x=1
And
X=-2, x=5
Answer:
those aren't limes, they're points.
Step-by-step explanation:
yeah-ya.......... right?
708.97 as a fraction