Consider the trinomial x2 – 9x + 18. Which pair of numbers has a product of ac and a sum of b? What is the factored form of the trinomial?
Answers
Answer:
(x-6)*(x-3)
Step-by-step explanation:
a*c
1*18=18
Factors of 18 are:
1, 2, 3, 6, 9, 18
The equation has +18 meaning both signs must be the same; - - or + +
The only two factors that work are -3 and -6
The factored form will be (x-6)*(x-3)
Check with FOIL method.
Answer:
Answer in picture
Step-by-step explanation:
Related Questions
PLEASE HELP 30 POINTS
Line A is represented by the equation, y=1/4x +5
(a) Write in slope-intercept form the equation of a line that is parallel to Line A and passes through the point, (8, -2). Show your work
(b) Write in slope-intercept form the equation of a line that is perpendicular to Line A and passes through the point, (4,1). Show your work.
Answers
Answer:
(a) y = 1/4x - 4
(b) y = -4x + 17
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
(a)
Parallel lines have the same slope but different y-intercepts.
m = 1/4x
y = 1/4x + b
-2 = 1/4(8) + b
-2 = 2 + b
b = -4
y = 1/4x - 4
(b)
Perpendicular lines have the negative reciprocal slope.
m = -4
y = -4x + b
1 = -4(4) + b
1 = -16 + b
b = 17
y = -4x + 17
Answer:
(a) y = 1/4x - 4
(b) y = -4x + 17
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
m - slope
b - y-intercept
Parallel lines have the same slope but different y-intercepts
Perpendicular lines have the negative reciprocal slope.
A clay model of a new car is 7 in. Long. The actual car is 21 ft long. Part 1: What proportion can you use to find the scale used to make the model? Part 2: What is the scale of the model? Select BOTH answers. * 2 points Option 1 1 in. : 3 ft. 1 in. : 1 ft. Option 3 Option 2 3 in. : 1 ft.
Answers
Answer:
3ft:1in
Step-by-step explanation:
Given the clay model of a new car = 7in
If the actual car is 21ft, first we will have to convert 21ft to inches
Ift = 12in
21ft = x
x = 21×12.
x = 252in
21ft = 252in
This means that the clay model (7in) has to be scaled up to 252in. This is known as enlargement.
To know the scale of the model, we will take the ratio of the actual car to the clay as shown
Scale = actual car model/clay car model
Scale = 252/7
Scale = 36/1
We can also use the exact units of both measurement used in question
Scale = 21ft/7in
Scale = 3ft/1in
Hence the scale of the model is 3ft:1in
−5(x−10)=−50 i need help answering it
Answers
[tex] - 5(x - 10) = - 50[/tex]
[tex] - 5x + 50 = - 50[/tex]
[tex] - 5x = - 50 - 50[/tex]
[tex] - 5x = - 100[/tex]
[tex] \frac{ - 5x}{ - 5} = \frac{ - 100}{ - 5} [/tex]
[tex]x = 20[/tex]
Part 2:
2.4.3: Denver to Chicago
A plane flew at a constant speed between Denver and Chicago. It took the plane 1.5 hours to fly 915 miles.
Answers
Answer:
Whats the question?
Step-by-step explanation:
Jim made $143 for 11 hours of work at the same rate how many hours would he have to work to make $91
Answers
Answer:
Step-by-step explanation:
The equation is
Salary = 11 * x Where x is the number of hours.
salary = 143
hours = 11
x = ?
143 = 11x Divide both sides by 11
143/11 = 11x/11
13 = x
So to get 143 he works for 13 dollars / hour
salary = 13 * x
salary = 91
13 x = 91
13x/13 = 91/13
x = 7
He must work 7 hours to get 91 dollars.
Jim made 143 dollar for 11 hours of work at the same rate how many hours would he have to work to make 91 dollar
✺ Explanation -:Given:
Jim made $143 for 11 hours of work.To Find:
Hours he have to work to make $91.Solution:
We can solve this question using two methods Unitary Method and Method of proportion.
Unitary Method -
For $143 he work 11 hours
For $1 he work [tex]\dfrac{11}{143}[/tex] hrs
For $91 he works [tex]\dfrac{\cancel{11}} {\cancel{143}\: \: \cancel{13}}[/tex] × [tex]\cancel{91}\: \: 7 [/tex]hrs
= 7 hours
He must work 7 hours to get $91.
[tex] \ {\rule{50mm}{3pt}}[/tex]
Method of proportion -
He work 'x' hours for $91. (x as no. of hrs)
[tex] \left[\begin{array}{c | c}\ \bf{Salary} & \bf{Number \: of \: hrs} \\ \sf{143 \: dollar} & \sf{11hrs} \\ \sf{91 \: dollar}& \sf{x}\end{array} \right][/tex]
143 : 91 :: 11 : x
Product of mean = Product of extreme
143 × x = 91 × 11
→ x = [tex]\dfrac{91 × 11}{143}[/tex] = 7hrs
He must work 7 hours to get $91.
[tex] \ {\rule{90mm}{3pt}}[/tex]
Is the figure shown in the xy-coordinate plane a parallelogram? Why or why not? Use the given coordinates to justify your answer.
Answers
The figure shown would represent a parallelogram if opposite sides are parallel and congruent
It is true that the figure is a parallelogram
How to determine if the figure is a parallelogram
The coordinates of the figure are given as:
O = (0,0)
P = (a,b)
S = (a + c,b)
T = (c,0)
Vertices O and T are on the same horizontal level, because they have the same y-coordinate
The above is also applicable to vertices P and S
By observation, we have the following distances:
PS = c
OT = c
This means that the opposite sides are parallel and congruent
Hence, the figure is a parallelogram
Read more about parallelograms at:
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For which interval is the function constant?
(-infinity, 0)
(6, infinity)
(2, 6)
(0, 2)
Answers
Answer:
the answer is (2,6)
Step-by-step explanation:
a large container contains 5 gallons of water. it begins leaking at a constant rate. After 20 mins, the container has 1 gallon of water left. At what rate is the water leaking?
Answers
Answer:
12 gallons/hour or 1 gallon/5 minutes (1/12 gallon)
Step-by-step explanation:
assuming gravity can capilary action can be ignored amd has nothing to do with it, 20 minutes is 4 gallons of water gone, so 5 minutes for 1 gallon of water gone. 60 minutes in an hour, so 12 gallons per 60 minutes
Claire has a hot tub with a diameter of 7 feet. She wants to purchase a cover to protect the hot tub. What is the area of the cover? Use Pi = 3. 14 and round the answer to the nearest square foot.
Answers
Answer:
38 square feet
Step-by-step explanation:
How do we find the area of a circle?
❖ The area of a circle is πr², where r = radius. For this case, we're going
to approximate pi as 3.14.
How do we find the radius given diameter?
❖ We are given the diameter of Claire's hot tub as 7 feet. The diameter
is 2x the radius, so we divide 7 by 2 to get the radius, which is 3.5
feet.
Solving
[tex]3.14*3.5^2[/tex] [tex]3.14 *12.25[/tex] [tex]38.465[/tex] 38.465 ≈ 38Therefore, the answer is 38 square feet. Have a lovely rest of your day/night, and good luck with your assignments! ♡
PLS HELP GIVING BRAINLIEST TO FIRST PERSON
Answers
Answer:
Solve for x
by simplifying both sides of the equation, then isolating the variable. x=ordw
Step-by-step explanation:
or it could be word
Answer:
x=57
Step-by-step explanation:
I think i already answered this question, but i will rewrite it again! since the angles 'x' and '2x+9' add up to become a supplement angle or a straight line.
We can establish the relation which says that the sum of these two angles is equal to 180.
[tex]x + 2x + 9 = 180[/tex]
[tex]3x + 9 = 180[/tex]
[tex]3x = 180 - 9[/tex]
[tex]3x = 171[/tex]
[tex]x = \frac{171}{3} = 57[/tex]
Write in the given rational numbers into the correct order line from least to gratest
-2/3, 7/8, -4/5 7/10, and -4/3
Pls hurry yall
Answers
Answer:
-4/3, -4/5, -2/3, 7/10, 7/8
helppppppppppppppppppppppppppppppppppp
Answers
Answer:
See below.
Step-by-step explanation:
3 and 8 are like termsIn 9a, 9 is a coefficientWhich derivation correctly uses the cosine sum identity to prove the cosine double angle identity
Answers
Answer: A
Step-by-step explanation: took the test
The derivation that correctly uses the cosine sum identity to prove the cosine double angle identity is A; cos²(x) - sin(x)²
What are trigonometric identities?Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.
Let revise the identities of double an angle
sin(2x) = 2 sin(x) cos(x)
cos(2x) = cos²(x) - sin²(x)
cos(2x) = 2 cos²(x) - 1
cos(2x) = 1 - 2 sin²(x)
The equation
∵ cos(2x) = cos(x + x)
cos(x)cos(x) - sin(x)sin(x)
cos²(x) - sin(x)²
The identity is cosine double angle identity for cosine difference
Learn more about trigonometric;
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#SPJ2
Two owners of a cattle ranch, Jo and Val, want to find the average weight for the ranch's 200 cows. Instead of weighing all of the cows: Jo weighs 25 cows and gets an average weight of 1,350 pounds (stdev 50) Val weighs 100 cows and gets an average weight of 1,420 pounds (stdev 50) What is Jo's margin of error, rounded to the nearest whole number? (The formula is 1.96 straight x left parenthesis StdDev right parenthesis divided by square root of straight N)
Answers
Answer:
The answer is "20".
Step-by-step explanation:
Given value:
[tex]\to Z_{critical}= 1.96\\\\\to {StdDev} = standard\ deviation = 50 \\\\\to n= 25\\\\[/tex]
formula:
[tex]\bold{Margin error}= Z_{critical} \times \frac{\text{StdDev}}{\sqrt{n}}\\[/tex]
[tex]= 1.96 \times \frac{ 50 }{\sqrt{25}}\\\\= 1.96 \times \frac{ 50 }{\sqrt{5 \times 5}}\\\\= 1.96 \times \frac{ 50 }{{5}}\\\\= 1.96 \times 10 \\\\= 19.6 \\\\= 20[/tex]
The area of a triangle 36 ×39×15
Answers
Answer:
a=21060[tex]in^{3}[/tex]
Step-by-step explanation:
A= B*W*H
A=36*39*15
A=1404*15
A=21060
I need this for my homework!: Describe the steps you can use to find an average of
fractional amounts.
Thanks! ＜；
Answers
Step-by-step explanation:
for example 1)8,9,12,8,7,11,3,9,5
we need to find average
first add all the numbers =72
we divide by how many number we havein data base which is 9 (mean count how many numbers we have)
72/9=8
Find the distance FG between the points F(6,7) and G(8,9)
Answers
Answer:
2.828
Step-by-step explanation:
Graham uses a 10 by 10 grid to model a decreasing pattern. He cuts off a section representing a percent of the current area so that the remaining area represents the next term in the pattern, rounded to nearest whole centimeter. The area after each cut is shown on the graph. A graph shows number of cuts labeled 1 to 10 on the horizontal axis and remaining area (square centimeters) on the vertical axis. A line decreases from 0 to 10. After each cut, what percentage of the previous area is the the remaining area? 10% 20% 80% 100%.
Answers
After each cut, by observing the graph, the remaining area is 80% of the previous area.
It is given that
Actual area = 100cm²
What is the percentage?The percentage is the value per hundred.
According to the graph,
Area after the first cut =80cm² (80% of the previous are)
Area after the second cut = 64 cm²(80% of 80)
Area after third cut = 51.2 cm²(80% of 64)
So we can observe that area after each cut is 80% of the previous area.
Therefore, after each cut, the remaining area is 80% of the previous area.
to get more about percentage visit:
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After each cut, by observing the graph, the remaining area is 80% of the previous area.
It is given that
Actual area = 100cm²
What is the percentage?
The percentage is the value per hundred.
According to the graph,
Area after the first cut =80cm² (80% of the previous are)
Area after the second cut = 64 cm²(80% of 80)
Area after third cut = 51.2 cm²(80% of 64)
So we can observe that area after each cut is 80% of the previous area.
Therefore, after each cut, the remaining area is 80% of the previous area.
to get more about percentage visit:
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What is the solution to the equation?
A. x = 144
B. x = 30
C. x = 18
D. x = 4
Answers
Answer:
D
Step-by-step explanation:
1/24x = 1/6
Multiply 1/6 by the reciprocal of 1/24 which is 24/1
Therefore;
X = 1/6 × 24/1
X = 4
8 + 6.9x what is the value of x
Answers
8 + 6.9x = 0
(Setting equation to 0 to figure out what x could be)
6.9x = -8
(Subtract 8 to both sides to isolate the x)
X = -8/6.9 or -1.15942
(Divide 6.9 to isolate x and you get your answer)
Joe's fitness club charges $40 a month for a membership. Mike's fitness club charges $20 for a membership per month and a $100 starting fee. After how many months will the total amount paid to the two clubs be the same?
Answers
Answer:
5 months
Step-by-step explanation:
Create an Equation:
m=months
Joe- 40m
Mike- 20m +100
Make each equation equivalent:
40m=20m+100
Solve:
40m-20m=100
20m=100
m=5
If you plug it back in, the equation is satisfied:
40(5)=20(5)+100
200=100+100
200=200
Use the algebra tiles to model x 1. Then choose the answer that describes the correct tiles. One blue x tile and one orange tile one orange x tile and one blue – tile one blue x tile and one blue – tile one orange x tile and one orange tile.
Answers
The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x + 1.
Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Using algebra tiles provides a more visual way for us to solve our problems.
The correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
Hence, the correct statement which describe about the algerbric tile one orange x tile and one orange + tile.
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
The area of a right triangle is 336 square inches. The height of the right triangle is 48 inches. What is the length of the hypotenuse of the right triangle?
Answers
Right triangle
In a triangle, one angle is 90 degrees.
Given
The area is 336 square inches
Base is 48
the ratio at which x axis divides the point (2, - 8) and (-3, 6).
Pls tell me the answer as fast as possible...
We are having math surprise test today...
Answers
Answer:
The answer is Math. M a t h
Step-by-step explanation:
Good luck!
3x + 5x - 2 + 18x = 180
Answers
26x - 2 = 180
26x = 182
x = 7
Answer:
x=7
Step-by-step explanation:
3x+5x-2+18=180
26x-2=180
26x=182
x=7
If a club has 20 members and 4 officers how many choices are there for secretary
A. 20
B. 18
C.19
note: The secretary is the third officer to be elected.
Answers
Which is the best description of the equivalency of the two expressions?
Expression 1
5x2 - 2x-4+6x+3
Expression 2
6x2 - 6x+6-x^2+10x-7
The two expressions are not equivalent because when x=2, the two expressions do not have the same value
O The two expressions are not equivalent because when they are simplified, they do not have the same coefficients
for the x2 and x terms.
O They are equivalent because the sum of the constants is the same in both expressions.
O They are equivalent because when x = 2, the two expressions have the same value.
PLEASE HELP IM ON A TIMER I WILL GIVE BRAINLIEST
Answers
Answer: D
Step-by-step explanation:
Equivalent when u use x=2
The population of grizzly bears in a remote area is modeled by the function P(t) = (200t - 120)/(t + 0. 5) where t = 1 1represents the year 2001 t = 2 represents the year 2002and so onthe model to predict the number of grizzly bears born in the year 2018. (Use the table from
Answers
[tex]P(t)=\cfrac{200t-120}{t+0.5}\qquad \qquad \stackrel{\textit{t=18 for 2018~\hfill }}{P(18)=\cfrac{200(18)-120}{(18)+0.5}}\implies P(18)\approx 188[/tex]
The answer has to be a fraction, number 10!!! Urgent!!!
Answers
Answer:
x = 0
Step-by-step explanation:
Calculate the product
Any expression multiplied by 0 equales 0
Solution
X = 0
Hope this helps!
I need help ASAP, with numbers 3-6 above. Please help.
Answers
Answer:
3. 2 6 30 6. 8:5
3 9 45
Step-by-step explanation: