Answer:
f(x) = 3x^2 - 15x + 12
Step-by-step explanation:
All of the second degree polynomials listed have a leading coefficient of 3.
Since we are asked which has roots 4 and 1, we know we need to find the polynomial where x is a negative number, then solve for x.
f(x) = 3x^2 - 15x + 12
= 3(x^2 - 5x + 4) --- Here, I factored out the 3.
= 3((x-4)(x-1)) --- solve for the quadratic.
Therefore, solving for x, we have
x - 4 = 0 and x - 1 = 0
x = 4 x = 1
Thus, this polynomial has a lead coefficient of 3 and its roots are 4 and 1.
Answer:
f(x) = 3x^2 - 15x + 12
Step-by-step explanation:
its Britany bitc
Step-by-step explanation:
What mathematical formula do you use for the following question. A rectangle whose perimeter is 104 feet has a length that is 12 feet longer than its width what is the area of the rectangle. The answer is 640 square feet 20 feet wide by 32 feet long.
Answer:
Width = 20 inches and Length = 32 inches
Area of rectangle = 640 feet²
Step-by-step explanation:
Perimeter of rectangle = 104 feet
Let width of rectangle = x
Length of rectangle = x+12
We need to find area of rectangle.
First we need to find value of x
The formula used to calculate perimeter of rectangle is: [tex]Perimeter= 2(Length+Width)[/tex]
Putting values and finding x
[tex]Perimeter= 2(Length+Width)\\104 = 2(x+12+x)\\104=2(2x+12)\\104=4x+24\\4x=104-24\\4x=80\\x=\frac{80}{4}\\x=20[/tex]
So, Value of x= 20
So, Width x= 20 inches
Length = x+12 = 20+12 = 32 inches
So, Width = 20 inches and Length = 32 inches
Now finding Area
The formula used is: [tex]Area=Length\times Width[/tex]
Putting values and finding area
[tex]Area=Length\times Width\\Area=20\times 32\\Area=640 \ feet^2[/tex]
Area of rectangle = 640 feet²
There are 40 students in the class. If 10% are absent on Friday, what is the number of students present in the class?
Answer:
36
Step-by-step explanation:
if 10% are absent the other 90% are present
40 students represent 100%
? students represent 90%
?=40*90/100=36 students
HELP! WILL GIVE BRANLIEST!!
Answer:
About 46 pples
Step-by-step explanation:
What is 77+690+1102855+20000001= ?
And, one more question, what is the percentage of 64% ?
Samara runs 5 miles in 40 minutes if she continues running at the same pace how many minutes will it take her to run 13 miles
Answer:
104 minutes
Step-by-step explanation:
it takes 8 minutes to run a mile, so 8x13 is 104
if you have a slope of 1/2 that means you should
Write y=-1/3x+2 in standard form
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]y = - \frac{1}{3} x + 2 \\ [/tex]
Multiply sides by 3
[tex]3y = - x + 6[/tex]
Add sides x
[tex]x + 3y = 6[/tex]
Done...
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
HELP I NEEF UT WITHIN 3mins! PLS HELP GOD BLESS U
Answer:
8.0%
Step-by-step explanation:
.8 * 5,000 = 400
At the store, 10 ounces of candy cost $3.20. How many ounces can you get for $1?
Answer:
3.125 ounces
Step-by-step explanation:
10/3.20=3.125
Chi has $11:30 in dimes and quarters. The number of dimes is three more
than three times the number of quarters. How many of each are there?
DO NOT COPY AND PASTE. THE ANSWER IS 63 DIMES AND 20 QUARTERS. HOW DO I GET THIS.
Answer:
To solve this question, we first have to know that we are trying to assemble
and solve equations with two variables: x
and y.
Assuming x
is the number of dimes and y
is the number of quarters, we
can assemble the equations.
since the number of dimes is 3 more than three times the number of quarters,
we get x=3y+3.
Additionally, multiplying the number of dimes by 0.1 and the number of
quarters by 0.25,
we get the total value of x
and y
which appears by this
equation 0.1x+0.25y=11.30
.
Substituting the value of x
in the second equation, we get 0.1(3y+3)+
0.25y=11.30
.
Solving this equation, we get that the value of x,
we get x=3×20+3=
Using the first equation to get the value of x,
we get x=3×20+3=
60+3=63
dimes.
Chapter 9
Math Models and Geometry
Section 2
Solve Money Applications
Prealgebra
Step-by-step explanation:
please help me asap
1.option D and 2 is option D too
Hurry and answer please .
Answer:
First sentence is false
second sentence is true
third sentence is false
and the last one is true
Step-by-step explanation:
Step-by-step explanation:
the first person is right
Suppose you observe a star orbiting the galactic center at a speed of 1300 km/skm/s in a circular orbit with a radius of 18 light-days. Calculate the mass of the object that the star is orbiting.
Answer: 1.1818^37 kg
Step-by-step explanation:
Given that:
Orbit speed = 1300 km/s
Radius (r) = 18 light days
Mass of object the star is orbiting :
Using the relation :
M = rv² / G
Where ; r = Radius in m ; v = velocity in m/s
G = 6.67 * 10^-11 = gravitational constant
18 light days in meters = 4.662 * 10^14 m
v = 1300km/s to m/s
v = (1300 * 1000)m /s = 1300000 m/s = 1.3 * 10^6 m/s
Hence ;
M = (4.662 * 10^14 * (1.3 * 10^6)^2 / (2/3) * 10^-10
M = (4.662 * 10^14) * (1.69 * 10^12) / (2/3) *10^-10
M = (7.87878 * 10^26) / 6.67 * 10^-11
= 1.1818^37 kg
how many tiles did tim walk around?
Question 3 of 20 Which point lies on the graph of the function shown below? v=x^2 + 3x - 2 O A. (1,1) O B. (2,6) O C. (-1,-4) O D. (0,2)
9514 1404 393
Answer:
C. (-1, -4)
Step-by-step explanation:
Since you have the graph, you can easily plot the points to see which lies on it. The attached shows that only (-1, -4) is on the graph.
When adding 35.64 to a certain number, the sum is 38.24, as seen below. What number should go in the box to complete the addition problem?
The decimal 35.64 is added to an unknown whole number and 6 tenths to equal 38.24.
(5 points)
2
3
13
14
Answer:
it would be 2
Step-by-step explanation:
5he answer is two so you subtract and then add and then multiply to get your answer 6ou divide it by pie
Answer:
i checked his answer it was right good job
Step-by-step explanation:
Give an example of repeating, nonterminating non-integers
Sharleen is considering joining for either 3 months, 8 months, or 12 months. Will the costs for the
two clubs ever be the same? Is one a better deal? Write a summary of the costs for each club and give
Sharleen advice on which one she should choose. Include a graph with your explanation.
Answer:
More explanation please
Step-by-step explanation:
Can you add how much money is in the problem for each of the 2 clubs for 3, 8 and 12 months? Then people will help you I think
The expressions to represent the costs of each club is $10 + ($15 * m)
Let's begin by writing expressions for the costs of each club:
Multiplayer Madness:
Joining Fee: $50 (one-time payment)
Monthly Fee: $0 (since it's not mentioned, we assume there's no additional monthly fee)
The total cost for Sharleen to join Multiplayer Madness would be the joining fee only, which is $50.
Games Galore:
Joining Fee: $10 (one-time payment)
Monthly Fee: $15 (recurring monthly charge)
The total cost for Sharleen to join Games Galore would be the joining fee plus the cumulative monthly fees over time. Let's represent the total cost of Games Galore as a function of the number of months (m) Sharleen stays in the club:
Total Cost of Games Galore = Joining Fee + (Monthly Fee * Number of Months)
Total Cost of Games Galore = $10 + ($15 * m)
To know more about expression here
https://brainly.com/question/14083225
#SPJ2
Complete Question:
Your friend Sharleen is thinking about joining an online gaming club. She's trying to decide between Multiplayer Madness and Games Galore. Her brother insists that Multiplayer Madness is a better deal. Multiplayer Madness charges a joining fee of $50. It's a bit more expensive than Games Galore, a club that charges a $10 joining fee. But, Games Galore charges a fee of $15 a month. That's $5 more each month than the fee charged at Multiplayer Madness! Checklist Did You... Write expressions to represent the costs of each club?
Which inequality is true?
Answer:
[tex]\frac{3}{4}[/tex] > [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Answer: 2. Is true
Step-by-step explanation: (second option is true)
what is the greatest common factor in these two sets of 51 and 18
Answer:
306
Step-by-step explanation:
Greatest common factor of 51 and 18
51=3×17
18=2×3×3
So 2×3×3×17
Greatest common factor =306
correctly factor the expression 15a-6b+36 using the greatest common factors
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
Answer:
3 ( 5a - 2b + 12)
Step-by-step explanation:
15 = 3 * 5
6 = 2 * 3
36 = 2 * 2 * 3 * 3
GCF = 3
15a - 6b + 36 = (3* 5 * a) - (3 *2 * b) + (3 * 12)
= 3 ( 5a - 2b + 12)
are the triangles congruent. if they are state how they are congruent.
Answer:
Step-by-step explanation:
Yes, the triangles are congruent.
SSS
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
What expression uses the GCF and is equivalent to 28 + 16
Answer:
The answer is 4(7+4)
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes. What is the largest number of groups she can have?
13
11
8
4
Answer:
8
Step-by-step explanation:
PLEASE HELP ME 50 POINTS!!!
Explain how to simplify this expression:
(8a + 8) + (5a – 6).
8a+8+5a−6
=8a+8+5a+−6
Combine Like Terms=8a+8+5a+−6
=(8a+5a)+(8+−6)
=13a+2
=> (8a + 8) + (5a – 6)
=> (8a + 5a) + (8 – 6) [Combine like terms]
=> (13a + 2)
ne of best on this seriet
thing
question on picture attached, easy but i’m stuck (need help asap)
Answer:
∠CDF = 54
Step-by-step explanation:
In ΔAEB,
AE ≅ AB
∠ABE = ∠E = x {Angles opposite to equal sides are equal}
∠EAB + ∠E +∠ABE = 180 {angle sum property of triangle}
26 + x + x = 180
26 + 2x = 180
2x = 180 - 26
2x = 154
x = 154/2
x = 77
∠ABE = ∠E = 77
In quadrilateral AECF
∠A + ∠E + ∠C + ∠F = 360
90 + 77 + ∠C + 90 = 360
∠C + 257 = 360
∠C = 360 - 257
∠C = 103
∠FCD + ∠BCD = ∠C
∠FCD + 67 = 103
∠FCD = 103 - 67
∠FCD = 36
ΔFCD,
∠FCD + ∠CDF + ∠CFD = 180
36 + ∠CDF + 90 = 180
∠CDF + 126 = 180
∠CDF = 180 - 126
∠CDF = 54
PLEASE HELP ME WITH THESE TWO QUESTIONS ILL GIVE U A GREAT RATING
For #8 its B. 4.5
For #9 is C. 33/5
are 3(m-2)/2(m-2) and 5(m-2) equiavalent expressions
The numbers, what are they saying??
A caterer charges $275 for 15 people and $425 for 25 people. The cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this situation. *
Answer:
The equation of the given situation is y = 15x + 50
Step-by-step explanation:
The slope-intercept form of the linear equation is y = m x + b, where
m is the slope b is the y-interceptThe rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where
(x1, y1) and (x2, y2) are two points on the line∵ A caterer charges $275 for 15 people
∵ A caterer charges $425 for 25 people
∵ x represents the number of people
∵ y represents the cost
∴ (x1, y1) = (15, 275)
∴ (x2, y2) = (25, 425)
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{425-275}{25-15}=\frac{150}{10}[/tex]
∴ m = 15
→ Substitute it in the form of the equation above
∴ y = 15x + b
→ To find b substitute x by 15 and y by 275
∵ 275 = 15(15) + b
∴ 275 = 225 + b
→ Subtract 225 from both sides
∴ 275 - 225 = 225 - 225 + b
∴ 50 = b
→ Substitute it in the equation
∴ y = 15x + 50
∴ The equation of the given situation is y = 15x + 50