Answer:
5/36
Step-by-step explanation:
Answer:
the probability of getting a total greater than 8 is 10/36=5/18
Step-by-step explanation:
Of the 36 different possible results of rolling a die twice, 10 of them have a total greater than 8.
Therefore, the probability of getting a total greater than 8 is 10/36 which equals 5/18
The diagram below shows two parallel lines, m and n, cut by a transversal, k. Angles A, B, and C are shown in the diagram
A student writes a proof to show that the corresponding angles, A and B, are congruent. The student's proof is shown below
A. Both reason 2 and Reason 3 are correct as shown in the table
B. Reason 2 is correct, but Reason 3 should "Alternate interior angles are congruent"
C. Reason 2 should be "Alternate interior angles are congruent," but Reason 3 is correct
D. Both Reason 2 and Reason 3 should be "Alternate interior angles are congruent"
(look at picture to understand better)
9514 1404 393
Answer:
B
Step-by-step explanation:
Angles A and C are vertical angles; angles B and C are alternate interior angles. Only line 3 of the proof is in error.
The applicable description is found in choice B.
What is the value of v?
By isosceles triangle theorem,
Angle ZXY = Angle ZYX
The sum of the angles in a triangle is 180 degrees.
106 + 2 same angles (-106) = 180 (-106) (Subtract 106 by both sides)
2 same angles (/ 2) = 74 (/ 2) (Divide 2 by both sides)
V = 37
Answer:
The value of v is 37°.
Step-by-step explanation:
Given that △ XYZ is an isosceles triangle where both sides have the equal angles. The total angle of △ is 180°. Let ∠ZXY and ∠ZYX be the same angles:
Let ∠ZXY = v, ∠ZYX = v, ∠ XZY = 106°,
∠ZXY + ∠ZYX + ∠XZY = 180°
v + v + 106° = 180°
2v + 106° = 180°
2v = 180° - 106°
2v = 74°
v = 74 ÷ 2
v = 37°
solve pls brainliest
Answer:
40
Step-by-step explanation:
 Missed 10 days of Algebra 2. I think they did some Long Division stuff but i need help figuring out how to do this stuff...
I attached an image below of some example problems
"Find all real solutions of" basically means solve for x. You're looking for the real numbers x such that the given equation is satisfied. "Zeros" is synonymous with "solutions".
It looks like the first equation is
3x³ + x² - 38x + 24 = 0
It's not immediately obvious whether this can be factorized, so we first carry out the rational zero test to see if there are any rational solutions. *If* this equation has any rational solutions, then they must take the form of (divisor of 24)/(divisor of 3). That is, take any divisor of the constant coefficient and divide it by any divisor of the leading term's coefficient.
We have
• divisors of 24 : ±1, ±2, ±3, ±4, ±6, ±8, ±12, ±24
• divisors of 3 : ±1, ±3
Sadly, there are 64 possible roots to test, but we only need one to make the rest of the problem easier.
• Let x = +1 / +1 = 1. Then plugging x = 1 into the equation gives
3•1³ + 1² - 38•1 + 24 = -10 ≠ 0
so x = 1 is *not* a solution
• Let x = +2 / +1 = 2. If x = 2, then
3•2³ + 2² - 38•2 + 24 = -24 ≠ 0
so x = 2 is *not* a solution.
• Let x = +3 / +1 = 3. If x = 3, then
3•3³ + 3² - 38•3 + 24 = 0
so x = 3 is a solution.
By the remainder theorem, this means that x - 3 divides 3x³ + x² - 38x + 24. Using long or synthetic division,
(3x³ + x² - 38x + 24) / (x - 3) = 3x² + 10x - 8
so that
3x³ + x² - 38x + 24 = 0
is the same as
(x - 3) (3x² + 10x - 8) = 0
We factorize the remaining quadratic to get
3x² + 10x - 8 = (3x - 2) (x + 4)
and so the original equation is equivalent to
(x - 3) (3x - 2) (x + 4) = 0
Solve for x :
x - 3 = 0 or 3x - 2 = 0 or x + 4 = 0
x = 3 or x = 2/3 or x = -4
The other equations can be solved similarly, though some of the others you included are much simpler.
For the second problem (note that you left out an exponent), we solve the equation
x³ - 2x² - 23x + 60 = 0
Again, not immediately obvious how to factorize this. But using the rational root test, we have
• divisors of 60 : ±1, ±2, ±3, ±4, ±5, ±6, ±10, ±12, ±15, ±20, ±30, ±60
• divisors of 1 : ±1
If you follow the same steps as before, you'll find the first rational solution with x = 3. So x - 3 divides x³ - 2x² - 23x + 60, and long division gives
(x³ - 2x² - 23x + 60) / (x - 3) = x² + x - 20
and the resulting quadratic is easily factored,
x² + x - 20 = (x - 4) (x + 5)
So, we have
x³ - 2x² - 23x + 60 = (x - 3) (x - 4) (x + 5) = 0
which means
x - 3 = 0 or x - 4 = 0 or x + 5 = 0
x = 3 or x = 4 or x = -5
For the third problem, we can factor by grouping.
x³ - 4x² - x + 4 = 0
x² (x - 4) - (x - 4) = 0
(x² - 1) (x - 4) = 0
(x - 1) (x + 1) (x - 4) = 0
Then
x - 1 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = -1 or x = 4
For the fourth problem, we use the rational root test again, but twice this time.
x⁴ - 6x³ + 7x² + 6x - 8 = 0
• divisors of -8 : ±1, ±2, ±4, ±8
• divisors of 1 : ±1
We find that x = 1 and x = 2 are both rational roots, so both x - 1 and x - 2 divide x⁴ - 6x³ + 7x² + 6x - 8. By long division,
(x⁴ - 6x³ + 7x² + 6x - 8) / ((x - 1) (x - 2)) = x² - 3x - 4
and factoring this gives
x² - 3x - 4 = (x + 1) (x - 4)
So, we have
x⁴ - 6x³ + 7x² + 6x - 8 = (x - 1) (x - 2) (x + 1) (x - 4) = 0
which means
x - 1 = 0 or x - 2 = 0 or x + 1 = 0 or x - 4 = 0
x = 1 or x = 2 or x = -1 or x = 4
For the last problem,
x⁴ + 4x³ + 7x² + 16x + 12 = 0
we use the rational root test again.
• divisors of 12 : ±1, ±2, ±3, ±4, ±6, ±12
• divisors of 1 : ±1
We find that both x = -1 and x = -3 are rational solutions, and dividing gives
(x⁴ + 4x³ + 7x² + 16x + 12) / ((x + 1) (x + 3)) = x² + 4
which we cannot factorize further over the real numbers. So we end up with
x⁴ + 4x³ + 7x² + 16x + 12 = (x + 1) (x + 3) (x² + 4) = 0
so that
x + 1 = 0 or x + 3 = 0 or x² + 4 = 0
x = -1 or x = -3
(We omit the third equation here because it has no real solution since x² + 4 ≥ 4 for all real x.)
solution set of (3x+7)^2+5=(7x-9)^2x+5
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3*x+7)^2+5-((7*x-9)^2*x+5)=0
Step by step solution :
STEP1:
Equation at the end of step 1
(((3x+7)2)+5)-(x•(7x-9)2+5) = 0
STEP2:
Checking for a perfect cube
2.1 -49x3+135x2-39x+49 is not a perfect cube
Trying to factor by pulling out :
2.2 Factoring: -49x3+135x2-39x+49
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -39x+49
Group 2: -49x3+135x2
Pull out from each group separately :
Group 1: (-39x+49) • (1) = (39x-49) • (-1)
Group 2: (49x-135) • (-x2)
Factoring by pulling out fails :
The groups have no common factor and can not be added up to form a multiplication.
Polynomial Roots Calculator :
Find roots (zeroes) of : F(x) = -49x3+135x2-39x+49
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is -49 and the Trailing Constant is 49.
The factor(s) are:
of the Leading Coefficient : 1,7 ,49
of the Trailing Constant : 1 ,7 ,49
Let us test ....
Equation at the end of step
2
:
-49x3 + 135x2 - 39x + 49 = 0
STEP
3
:
Cubic Equations:
3.1 Solve -49x3+135x2-39x+49 = 0
Future releases of Tiger-Algebra will solve equations of the third degree directly.
Meanwhile we will use the Bisection method to approximate one real solution.
Approximating a root using the Bisection Method :
We now use the Bisection Method to approximate one of the solutions. The Bisection Method is an iterative procedure to approximate a root (Root is another name for a solution of an equation).
The function is F(x) = -49x3 + 135x2 - 39x + 49
At x= 3.00 F(x) is equal to -176.00
At x= 2.00 F(x) is equal to 119.00
Intuitively we feel, and justly so, that since F(x) is negative on one side of the interval, and positive on the other side then, somewhere inside this interval, F(x) is zero
Procedure :
(1) Find a point "Left" where F(Left) < 0
(2) Find a point 'Right' where F(Right) > 0
(3) Compute 'Middle' the middle point of the interval [Left,Right]
(4) Calculate Value = F(Middle)
(5) If Value is close enough to zero goto Step (7)
Else :
If Value < 0 then : Left <- Middle
If Value > 0 then : Right <- Middle
(6) Loop back to Step (3)
(7) Done!! The approximation found is Middle
Next Middle will get us close enough to zero:
F( 2.596896529 ) is 0.000000414
The desired approximation of the solution is:
x ≓ 2.596896529
Note, ≓ is the approximation symbol
One solution was found :
x ≓ 2.596896529
Someone help me on PART B:
Step-by-step explanation:
given expression,
4(3x - 1) - 2(6 + 2x)
given,
x = 12.5
so q/q
→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]
→ 4(37.5 - 1) - 2(6 + 25)
→ 4 × 36.5 - 2 × 31
→ 146 - 62
→ 84
therefore, 84 articles store received last Thursday.
HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.
Answer:
84
Step-by-step explanation:
3. How many 1/8's are in 1 1/4?
Answer:
10
Step-by-step explanation:
There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.
This circle is centered at the point (3,2) and the length of its radius is 5 what is the equation of the circle
Answer:(x-3)² + (y-2)² = 25
Step-by-step explanation:
A circle's equation is (x-h)² + (y-k)² = r². When centered at the origin, h and k equal 0. If you shift the circle, say, one unit up, then k equals 1, and the equation is x² + (y-1)² = r².
So for your circle, the equation would be (x-3)² + (y-2)² = 5² or (x-3)² + (y-2)² = 25.
Answer:
(x - 3)² + (y - 2)² = 25
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Here (h, k ) = (3, 2 ) and r = 5 , then
(x - 3)² + (y - 2)² = 5² , that is
(x - 3)² + (y - 2)² = 25 ← equation of circle
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
9.
Identify the point corresponding to Q.
IT'S NOT A. Q' (-3, -4)
A. Q′ (−3, −4)
B. Q′ (−4, 1)
C. Q′ (−1, −4)
D. Q′ (−4, −3)
Answer:
C(-1, -4)
Step-by-step explanation:
see the point reflected over the line through the vertex point
Answer:
D. Q′ (−4, −3)
Step-by-step explanation:
From looking at the graph it looks like the answer would be
Q= (3, -4) if the X-axis goes first
Q= (-4, 3) if the Y-axis goes first
Helpppppppppppppppppppppppp
[tex]xy =-21~~.....(i)\\\\x+ y=20~~....(ii)\\\\\text{From equation (i):}\\\\xy = -21 \implies y = -\dfrac{21}x~~.....(iii)\\\\\text{Substitute y in equation (ii):}\\\\x - \dfrac{21}x = 20\\\\\implies x^2 -20x -21= 0\\\\\implies x^2 - 21x + x-21=0\\\\\implies x(x-21) +(x-21) =0\\\\\implies (x+1)(x-21)=0\\\\\implies x = -1 ~~\text{or}~~ x =21\\\\\text{Substitute x in equation (iii):}\\\\y = 21 ~~ \text{or}~~ y = -1\\\\\text{Hence,}~ (x,y)=(21,-1) ~~ \text{or}~~ (x,y) = (-1,21)[/tex]
The graph of the linear function is shown on the coordinate grid. What is the equation of this line?
Graph the line with slope 7 and y-intercept -7
Given :-
To graph the line with slope 7 and y intercept -7.To Find :-
The graph of the line .Solution :-
Here since the slope of the line is 7 and y intercept is -7 , we can use the slope intercept form of the line to find the equation of the line . The slope intercept form of the line is ,
[tex]\longrightarrow[/tex] y = mx + c
On putting the respective values ,
[tex]\longrightarrow[/tex] y = 7(x) + (-7)
[tex]\longrightarrow[/tex] y = 7x - 7
For the graph see attachment .
Write 5 • 5 • 5 • 5 • 5 • 5 • 5 using an exponent.
Answer:
5^6
Step-by-step explanation:
5 was multiplied repeatedly 6 times, so it's 5 to the power of 6
Answer:
5 to the power of 6 or 5^6
Step-by-step explanation:
What the answer is please
Answer:its the first one
Step-by-step explanation:
becuase it tells more explanation if you look at the answer or what im saying is problem to make it more simpler.
54,392 rounded to the hundreds place
Answer:
54,400
Step-by-step explanation:
PLS HELP ASAP
x^2 - 4x-1=0
Solve using formula
Answer:
Your answer would be x=2±√5
Step-by-step explanation:
A new cell phone costs $108.99 in the store. What would your total cost be if the sales tax is 4.5%? Round your answer to the nearest cent, if necessary.
Answer: $113.89
Step-by-step explanation:
108.99 * 0.045
= 4.90455
108.99 + 4.90455
= 113.89455
$113.89
Answer:
Total Cost = $113.89
Step-by-step explanation:
Total Cost = Cell phone cost + sale Tax % ( cell phone cost)
Total Cost = $108. 99 + .045 × $108.99
Total Cost = $108.99 + $4.90455
Total Cost = $108.99 + $4.90
Total Cost = $113.89
Round 0.13171 to the thousandths place (three decimal places).
4. Simplify: -3(2x - 5)-2(4x+3)
A.14x-9
B.-2x+21
C.-14x+9
D.-14x+ 21
Can someone help me ?
Evaluate. (2a−1/3)÷b/15 when a=−4/5 and b=−2.25 Enter your answer as a simplified mixed number in the box.
Solve ^3/x^2-8=2 pls help
Answer:
its the first one
Step-by-step explanation:
suppose you have $20 in your bank account. you start saving $5 each week. your friend has $5 in his account and is saving $10 each week. assume neither of you make any withdrawals.
Answer:
Question is missing
Step-by-step explanation:
Question missing
Six less than the product of 8 and a number equals 2
Answer:
unknown number = 1
Step-by-step explanation:
Let the unknown number be x.
(8×x)-6=2
8x-6=2
8x=2+6
=8
x=8÷8
=1
Hence, unknown number = 1.
Study the visual fraction below.
Answer:
The answer would be D
Step-by-step explanation:
5 1/3 ÷ 2/3 = 8
16/3 ÷ 2/3 = 8
16 ÷2 = 8
Find the solution set of the inequality
14−3x<−1.
If right will mark Brainlyest!
Answer:
x > 5
Step-by-step explanation:
14 -14 - 3 x < -1 -14
-3 x < -15
-3 x / -3 < -15 / -3
x > 5
Can someone help? anyone?
Answer:
The right answer is letter C.
Step-by-step explanation:
I hope it's help
have a nice day and night
If a slingshot is used to shoot a marble straight up into the air from 2 meters above the
ground with an initial velocity of 30 meters per second, for what values of time t will the
marble be over 35 meters above the ground? (Refer to Exercise 25 in Section 2.3 for assistance
if needed.) Round your answers to two decimal places
Answer:
use this equation: GPE=mgh
Step-by-step explanation:
GPE = gravitational potential energy = J
m = mass = Kg
g = gravitational field = N/kg = world's gravitational field is 9.8N/kg
h = height = m
Find The slope of the line represented by the points in the table (use your notes to get the formula it needed).
4.
Number
of Hours
1
2.
3
4
Cost
($)
$17
$29
$41
$53
Help help math please help help help help
Answer:
Answered is x= 55x
Step-by-step explanation:
13x+10 * 12x+20
soln:
or, 13x+12x+10+20
or, 25x+30
:., therefore, x=55x
