Answer: x^2+5x-14
Step-by-step explanation:
2 and -7 are the roots of the polynomial then we have to write them as
x=2 ,x=-7
To convert these as factors, we have to write them as
( x-2) (x+7)
The product of those factors will give the polynomial. Because we have two factors, we will get a quadratic polynomial.
x^2+7x-2x-14
x^2+5x-14
Number of factors = Highest exponent of the polynomial
Answer:
y = x² + 5x - 14
Step-by-step explanation:
Given roots x = a, x = b, then the corresponding factors are
(x - a) and (x - b) and the polynomial is the product of the factors
y = (x - a)(x - b)
Here the roots are x = 2 and x = - 7, then the factors are
(x - 2) and (x - (- 7)) = (x + 7), so
y = (x - 2)(x + 7) ← expand using FOIL
y = x² + 5x - 14
Without looking, sam took a colored pencil from his case, which has 1 black, 2 red, 3 blue, 2 yellow, and 1 orange pencil. What's the probability he chose a blue one?
Answer:
3/9 or 1/3
Step-by-step explanation:
Write a rule for the nth term of the geometric sequence:
a3=54, a6=1458
Answer:
tn = -1350 + 468n
Step-by-step explanation:
First, we need to find the difference.
1458 - 54 / 6 - 3
= 468
Now we need to find the first term.
t3 = t1 + (n - 1) (d)
54 = t1 + (3 - 1)(468)
54 = t1 + (2)(468)
54 = t1 + 936
-882 = t1
The rule is:
tn = -882 + (n-1) (468)
tn = -882 + 468n - 468
tn = -1350 + 468n
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Answer:
u have it right it increases by 1:75 per time
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
it is A because it is increasing by 1.75 each week
2 1/3% as a mixed number in simplest form
Answer:
71
Step-by-step explanation:
Calculate the distance between point B (3,-7) and point C (0,8) on the coordinate grid
Answer:
Distance= 15.3
Step-by-step explanation:
Ok So could you please tell me where I went wrong?
Answer:
lateral surface area =perimeter of base×height=
={4+7+7+11)×6=174 km²
Step-by-step explanation:
If the coordinate of A is (0,-2) and the coordinate of B is (10,-6), then the midpoint of AB is (______).
Answer:
5, -4
Step-by-step explanation:
midpoint = x1 + x2/2 ,y1 + y2/2
= 0 + 10 /2 , -2 + -6/2
= 10/2 , -8/2
midpoint = 5, -4
a square has f the diagonals of a square bisects its angles?
Answer:
ok so i can have i insteaof f too
Step-by-step explanation:
Find the volume of this triangular prism.
Answer:
v = 9x9x0.5x5 = 202.5 ft^3
Step-by-step explanation:
What is the value of y
when 8y/4y +5 = 5/6?
A: 25/7
B: 5/28
C: 15/8
D: 25/28
Answer:
D
Step-by-step explanation:
please mark brainliest thanks:)
Which shows a correct way to determine the volume of the right rectangular prism?
Answer:
the last answer
Step-by-step explanation:
[tex]V=l*w*h\\l=8\\w=9\\h=1\\V=8*9*1\\V=72[/tex]
Find the midpoint between the two points.
Answer:
(1,3) is the answer.
Step-by-step explanation:
hope you get it right!!
Which choice does not represent a set of endpoints that create a horizontal line segment? A (1, 13) and (14, 13) B (-10, 0) and (-10, 1) C (3, -20) and (-11, -20) D (16, 2) and (-2, 2)
Answer:
Step-by-step explanation:
horizontal line segment: B (-10, 0) and (-10, 1)
a parallelogram has one angle that measures 65 what are the other three angles
Answer:
Step-by-step explanation:
65,115,115
River C is 400 miles longer than River D. If the sum of their lengths is 5560 miles, what is the length of each river?
Answer:
River D - 2580 miles
River C - 2980 miles
Step-by-step explanation:
Let the length of River D be represented with x
length of river C = 400 + x
total length of both rivers = 5560
x + 400 + x = 5560
2x + 400 = 5560
collect like terms
2x = 5560 - 400
2x = 5160
divide both sides of the equation by 2
x = 5160 / 2
x = 2580
length of river c = 400 + 2580 = 2980
Witch 3 ingredients will add up to $14.40? (Only one bowl can be chosen, bowls are required)
Country Financial, a financial services company, uses surveys of adults age and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of adults showed indicating that their financial security was more than fair. In February of 2010, a sample of adults showed indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. - Select your answer - - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012
Complete question :
Country Financial, a financial services company, uses surveys of adults age 18 and older to determine if personal financial fitness is changing over time (USA Today, April 4, 2012). In February of 2012, a sample of 1000 adults showed 410 indicating that their financial security was more than fair. In February of 2010, a sample of 900 adults showed 315 indicating that their financial security was more than fair. a. State the hypotheses that can be used to test for a significant difference between the population proportions for the two years. H : Pi - P2 - Select your answer HA : P1 P2 - Select your answer - b. What is the sample proportion indicating that their financial security was more than fair in 2012? Round your answer to two decimal places. In 2010?
Answer:
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
Phat 2010 = 0.35
Phat 2012 = 0.41
Step-by-step explanation:
The null and alternative hypothesis :
H0 : p1 - p2 = 0
H1 : p1 - p2 ≠ 0
The null means there is no difference in proportion for the two years while the alternative claims that there is difference in proportion for the two years.
Sample proportion for 2010:
Phat = x / n
x = 315 ; n = 900
Phat = 315 / 900
Phat = 0.35
Sample proportion for 2012 :
Phat = x / n
x = 410 ; n = 1000
Phat = 410 / 1000
Phat = 0.41
What is the answer for these this question
find the surface area of the figure below
Answer:
64
Step-by-step explanation:
square= 16
triangle= 12
12*4 = 48+16 = 64
Answer:
64 m²
Step-by-step explanation:
Hello There!
The surface area is the total area of the figure
So in order to find the area we need to find the area of each shape
For the square:
the square has a length of 4 so we can simply find the area by squaring it
4 * 4 = 16
so the area of the square is 16 square meters
Now we need to find the area of the triangles
The formula for area of a triangle is
[tex]A=\frac{bh}{2}[/tex]
where b = base and h = height
The triangles dimensions are:
base - 4m
height - 6m
having found these dimensions we plug them in into the formula
[tex]A=\frac{4*6}{2} \\4*6=24\\\frac{24}{2} =12[/tex]
so the area of one of the triangles is 12 square meters
We want to find the total area of all of the triangles
To do so we multiply the area of one triangle by 4 (because there are four triangles)
12 * 4 = 48
So the total area of the four triangles is 48 square meters
Finally we add the two areas
48 + 16 = 64
so we can conclude that the total surface area of the pyramid is 64 m²
Select all the equations that are true when xis -4.
A)-8 = 2x
B) -12 = x.-3
C) -12 = x+x+x
D = -1
Ex+4 = -8
F = -16
Answer:
A,C and D are the correct options.
does anybody know the answer?
Answer:
y+48=90
y= 90-48
y= 42
Step-by-step explanation:
ok
by using the property
sum of two opposite interior angles of triangle is equal to exterior angle
Number 5 please helpppppppppp 10 points
12 pumpkins cost 24.60 how much will it cost for 8 pumpkins also
I can run 5 laps in 1 1/4 hours how many laps could I run in a day
Answer:
the second one is 20 i think
Step-by-step explanation:
I need help with the Pythagorean Theorem
Answer:
8.4 I think
Step-by-step explanation:
Please don't hate me if I am wrong
write both an explicit equation and recursive equation for the sequence 64,8,1,0,0.125..
HURRY PLEASE!!
Answer:
a(n) = n/8
Step-by-step explanation:
64/8 = 8, 8/8 = 1, 1/8 = 0.125.…
Explicit Equation: a(n) = n/8
Recursive Equation: a(1) = 64; a(n) = n/8
i dont know if this is correct or not but here you go!
Find the Inverse of the following function.
Answer: A
Step-by-step explanation:
What is the solution to the following graph? Write it as an ordered pair to get credit.
Answer:
(2,6)
Step-by-step explanation:
Convert 5.7×108 to its expanded form. sorry guys im not good with math so i need halp ^_^
The answer is 615.6.If you have more problems like this go to math-way calculator
In sarah classroom, There are 6 girls or every 2 boys. What is the ratio of boys to the total number of student
Answer:
3:1 (Girls:Boys)
6 divided by 2
The Mavericks football team was losing when they got
control of the ball at midfield in the last minute of a game.
They lost 17 yards on the first play they ran. Then they
gained 3 yards on the second play. On the third play, the
Mavericks lost 21 yards, and on the fourth play, they lost
8 yards. What was the position of the ball relative to its
starting point after those four plays?
A 33 yd
B -50 yd
C 9 yd
D- 43 yd
Pls help I’m doing a renaissance test
Answer:
-43 yards is the answer...