The values of x are -3 and 4.
What is factoring polynomial?
The term "factorization of polynomials" or "polynomial factorization" refers to the process of combining irreducible factors with coefficients in the same domain to express a polynomial with coefficients in a given field or in integers.
Consider, the given equation
x^2 - x = 12
Subtract 12 from both sides
x^2 - x - 12 = 12 - 12
x^2 - x - 12 = 0
Since -12 = -4 x 3
⇒ x^2 - 4x + 3x - 12 = 0
x(x - 4) + 3(x - 4) = 0
(x + 3)(x - 4) = 0
⇒ (x + 3) = 0, (x - 4) = 0
x = -3, x = 4
Hence, the values of x are -3 and 4.
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A youth football team has three out of 11 players who played quarterback previously. Based on the
information, if there are 250 players in the football league, then how many could we expect to have
previously played the position of quarterback?
а. 70
B.3
C.250
D.68
Need it now
Answer:
D
Step-by-step explanation:
If Circle A has a radius that is five more than twice as long as the radius of circle B and the sum of the diameters of the circle is 88 inches, find the area and circumference of circle A
Answer:
Circumference of a circle A = [tex]389.7 \,\,inches[/tex]
Area of a circle A = 12081.1 square inches
Step-by-step explanation:
Let [tex]r[/tex] denotes radius of circle B.
Circle A has a radius that is five more than twice as long as the radius of circle B.
So,
Radius of circle A = [tex]5+2r[/tex]
Diameter of circle = 2 (radius of circle)
So,
Diameter of circle B = 2r
Diameter of circle A = [tex]2(5+2r)[/tex]
Sum of the diameters of the circles A and B = [tex]2r+2(5+2r)[/tex]
[tex]=2r+10+4r[/tex]
[tex]=6r+10[/tex]
As sum of the diameters of the circles is 88 inches,
[tex]6r+10=88\\6r=78[/tex]
[tex]r=13[/tex] inches
Radius of a circle A = [tex]2(5+2r)[/tex]
[tex]=2[5+2(13)][/tex]
[tex]=2(5+26)[/tex]
[tex]=2(31)[/tex]
[tex]=62[/tex] inches
Let R denotes radius of a circle A.
R = 62 inches
Circumference of a circle [tex]=2\pi R=2\pi (62)=124\pi =124(\frac{22}{7})=389.7 \,\,inches[/tex]
Area of a circle [tex]=\pi r^2=\pi (62)^2=3844\pi=3844(\frac{22}{7})=12081.1[/tex] square inches
What is the order of these numbers from least to greatest?
4.03 4.3 4.003
The quadratic function is given in both its standard and factored form below
x²+2x-15=(x+5)(x-3) there is nothing to factoriz
SL and SK are tangent to the circle find x
Answer:
B. 5/2
Step-by-step explanation:
Please answer with explanation
Answer:
1. if y varies directly as x, and y = 6 when x = 2, the constant of variation is k = 6/2= 3. Thus, the equation describing this direct variation is y = 3x.
2. Partial Variation, where two variables are related by a formula, such as the formula for a straight line (with a non-zero y-intercept)
example :
in the milk factory Carol makes $10 per hour but gets an extra $20 from another job. since Carol gets a $20 allowance regardless of how much she works, if we want to represent Carol's situation in the form of an equation, it would be
Y=10x + 20
therefore if she worked zero hours
(Y=10(0) + 20),
she would still make $20 unconditionally and for every hour she works, she gets $10 more including the initial $20.
thus Carol's equation would be a partial variation, since her income doesn't entirely depend on how much she works.
3. a relation is non linear because it is has a direct relationship between an independent variable and a dependent variable.
In a relation, changes in the output do not change in direct proportion to changes in any of the inputs.
relations does not create a straight line but instead creates a curve.
Ami andieiwiiwkwkwkskkskskskskskw
Answer:
The only true statement is C
Step-by-step explanation:
The area of Amy's garden is 176 in²
The area of Burts garden is 324 in²
Therefore the only true statement is C.
A sector of a circle has a central angle of 60°. find the area of each sector if the radius of the circle is 10in
Answer:
i have made it in above picture
hope it helps
Solve for t in the expression 16/t when t = 4.
please help!!
Answer:
x=16/t
t=4 so
16/4 = 4
4 is your answer.
Plzzzz help!!!!!!!!!! ASAP
Which mixed number represents point D?
A)3 1/10
B)2 9/10
C)2 10/10
D) 3 2/10
Answer:
1/10
Step-by-step explanation:
been stuck on this question. plz help me i will give u brainliest!
Answer:
the sum of A, B, C and E = 23Explanation:
single cone = $3
double cone = $5
total single = A = 3s
total double = B = 5d
As + Bd = 57
Cs + Ed = 15
A = 3 , B = 5
3s + 5d = 57
s + d = 15 (we don't know C and E yet)
multiply the second equation by 3 and substract it from the first equation
3s + 5d - 3s - 3d = 57 - 45
2d = 12
d = 6
Ed = 6
Cs = 15 - 6 = 9
A = 3 ($3)
B = 5 ($5)
C = 9 (single cones)
E = 6 (double cones)
Check:
(9 single cones × $3) + (6 double cones × $5) = 27 + 30 = 57
9 single cones + 6 double cones = 15
the sum of A, B, C and E:
A+B+C+E = 3+5+9+6 = 23
Triangle Ratios (Sides)
Find the value of c. Round to the nearest tenth!
Answer:
x =30.7
Step-by-step explanation:
Here, we want to find the value of x
To get this, we use the appropriate trigonometric ratio
From what we have, we have the side facing an angle which is the opposite and the side not facing an angle or the right angle; this is the adjacent
The trigonometric identity that links the opposite and the adjacent is called the tan
It is the ratio of the opposite to the adjacent
Thus, we have;
tan 61 = x/17
x = 17 * tan 61
x = 30.7
Priya is simplifying the expression $$ Her work is shown to the left. Priya's work is incorrect. Explain the error she made
Step-by-step explanation:
P.S - The exact question is -
Given - Priya is simplifying the expression -2(4 - 2x) - 3 - 2x Her work is shown to the left.
To find - Priya's work is incorrect. Explain the error she made.
Proof -
Priya simplified the problem as follows :
-2( 4 - 2x ) - 3 - 2x
-8 - 2x - 3 - 2x
-11 - 4x
But the simplification has to be like
-2( 4 - 2x ) - 3 - 2x
⇒-2(4) - 2(-2x) - 3 - 2x
⇒-8 + 4x - 3 - 2x
⇒-8 - 3 + 4x - 2x
⇒-11 + 2x
So, Priya made an error in the second line.
In the second line it has to be -8 + 4x - 3 - 2x but Priya has written -8 - 2x - 3 - 2x.
The number of mosquitoes at the beginning of the summer was 4,000. The population of
mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be
after 4 months?
Find the area of the blue shaded portion.
Answer:
its 48
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
no
Are the triangles congruent ? Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!
Answer:
no they are the illuminati
Step-by-step explanation:
Which equation represents a proportional relationship where the constant of proportionality is 2? * y=2+k k=2y y=2+x y=2x
Answer:
y = 2x
Step-by-step explanation:
here in this case, x = independent variable whereas y is the dependent variable.
Now, Equation that represents a proportional relationship with a constant or proportionality of 2 is y =2x.
as y= 2x
⇒ y/x = 2
Find the slope of the line. 10 point if you solve.
PLS HELP ME FAST
Please help with this
Answer:
A= 347.65 B= 43.5
Step-by-step explanation:
A : 347.65
B : 43.5
244.5
+ 1 0 1. 1 5
= 347.65
68.2
- 24.7
= 43.5
what is the x-intercept of the graph 4x-6y=12
Answer
x=3 or (3,0) and if you need it y=-2x+3
Step-by-step explanation:
I'm not very good at explaining things, sorry
1. The exponential function modeled below represents the number of square
kilometers of land occupied by cane toads x years after this animal was first
introduced into Australia,
Area Occupied by Cane Toads
Time
Area
1,200
(y)
(km)
1,100
1,000
0
36,500
900
5
53,600
800
700
10
78,800
600
15
115,780
500
20 170,120
400
25
250,000
300
200
30 367,300
100
539,700
0 5 10 15 20 25 30 35
Time (y)
Based on the data, which measurement is closest to the number of square
kilometers of land that will be occupied by cane toads 40 years after this
Area (thousands of km)
35
< PREVIOUS
Answer:
600,000 km²
Step-by-step explanation:
Using the exponential regression calculator : the regression fit obtained for the data is :
36510 * (1.08^x)
After 40 years ;
x = 40
Hence,
y = 36510 * 1.08^40
y = 36510 * 21.72452
y = 793,162.27 km
Hence, y is closest to 800,000 km
Please I really need someone to help
Answer:
Step-by-step explanation:
so a rhombus is two triangles put together, the area of a triangle is 1/2 b*h and since we've got two it's 2 ( 1/2 b * h ) so then it' just b * h
will be the area of the rhombus.
the base is WY = 24 the height is 1/2 XZ = 30 so 15
24*15 = 360
whats an equation that uses all numbers 1-10
Answer:
linear equations
Step-by-step explanation:
linear inequalities
Answer:
natural numbers.ok
hope this helps you ☺️☺️
A student’s AP statistics project involves comparing the time it takes a student to complete a set of 25 basic trinomial factoring problems while listening to either rap music or country music. Twelve students are timed on two different sets of problems of equal difficulty. The order of which set of problems he does first and which music he listens to first are randomized. The resulting data is thus paired, with each student acting as his own "pair." Which of the following conditions is required to perform a t-test on these paired data?
A. The distribution of times for all students on each set of problems must be approximately Normal.
B. The distribution of times for all students while listening to each type of music must be approximately Normal.
C. The distribution of times for all 24 sets of problems (12 students are taking 2 tests each) must be approximately Normal.
D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.
Answer:
D. The distribution of differences between each individual student’s times on each of the two tests (time with rap – time with country) must be approximately Normal.
Step-by-step explanation:
For a paired test, there are two measured values of a particular point, here what is measured is the time taken for each of rap and country music by each student.
The difference :
t2 - t1 = time with rap music - time with country music.
The number of samples usually associated with t distribution is usuall y very small (n ≤ 30).
Help me out please and thank youuuu!!
Answer:
a) 9/10 or 90%
b)2/3 or 67%
Find the value of x.
Answer:
x = 45
Step-by-step explanation:
All triangles add up to 180°
x + 75 + 60 = 180
x + 135 = 180
x = 180 - 135
x = 45
(07.07) H U R R Y, please ;) 15 points!
Tracey built a small boat and recorded the distance it traveled. The table below shows the distance traveled (f) during the first 4 seconds after starting (p).
Elapsed Time
(seconds) Distance Traveled
(feet)
1 4.2
2 8.4
3 12.6
4 16.8
Which of the following equations represents the relationship between the distance traveled and the elapsed time?
p = 4.2f
f = 4.2p
p = 4.2 + f
f = 4.2 + p
im not sure i think its 14.2
Write the number 0.000037 in scientific notation
Answer:
3.7 x 10^-5
Step-by-step explanation:
HHHEEEEEEELLLLLLPPPPP quickly
Answer:
x-intercept and y-intercept are both 0
the domain (x) is [-4, 4]
the range (y) is [-4, 4]