Answer:
(x-2)²(x²-6x+4) or (x-2)²(x-(3+√5))(x-(3-√5))
Step-by-step explanation:
x⁴ – 10x³ + 32x² – 40x + 16 = 0 divide equation
(x⁴-4x³+4x²)-(6x³-24x²+24x)+(4x²-16x+16) = 0
x²(x²-4x+4) - 6x(x²-4x+4) + 4(x²-4x+4) = 0
(x²-4x+4)(x²-6x+4) = 0
(x-2)²(x²-6x+4) = 0
x-2=0 or
x²-6x+4=0 ... roots: x = (6±√(-6)²-4*1*4) / 2 = (6±2√5) / 2 = 3±√5
x=2 or x=3±√5
There are 15 seats on a bus . 6 persons
took the bus. In how many different ways can
these 6 persons sit ?
simply, they can set in many different ways
Niko has 3 friends he gives his friends 1/4 pieces of candy each. How much does each person get?
Answer:
12
Step-by-step explanation:
Raul has $460 in his checking account. Each month, $45 is automatically deducted from his account to pay for his cell phone plan. He makes no other deposits or withdrawals. He wants to always have more than $100 in his account. What is the greatest number of months he can pay for his cell phone and still have more than $100 in his account?
7 months
8 months
9 months
10 month
Answer:
8 months
Step-by-step explanation:
because it's right just trust me
Answer:
8 months
Step-by-step explanation:
right on edge nuity <3
Please help me!! I’m behind and really need help!
Answer:
the third one is the correct answer
Answer:
you selected the right answer already
Step-by-step explanation:
every hour he makes 25 dollars. so 2=50 and 3=75 :)
Find the errors and correct the following mathematical sentences.
Answer:
This is your answer ☺️☺️
The temperature was 6 degrees below 0 (in Fahrenheit) today. Write a signed number to represent this temperature.
Answer:
hmmmm im thinking
Step-by-step explanation:
If a grocery store charges $3.00 for 2 pounds of
tomatoes, what is the price for 7 pounds of tomatoes?
SHOW your WORK.
$7.50
$8.00
$9.50
$10.50
Answer:
If a grocery store charges $3 for 2 pounds of tomatoes then it costs $1.50 per pound of tomato, so we multiply this by 7 to get $10.50
Hope this helped!
Answer: $10.50
$3.00/2=$1.5
$1.50*7= $10.50
Solve x2 + 18x – 19 = 0 by completing the square.
Answer:
x = 1, x = -19
Step-by-step explanation:
1) factorise
(x−1)(x+19)=0
2) equal to 0
x−1=0 or x+19=0
x=1 or x=−19
Answer:
[tex]x = 1[/tex]
[tex]x = 19[/tex]
Step-by-step explanation:
Set up equation
[tex] {x}^{2} + 18x - 19 = 0[/tex]
Add 19 on both sides
[tex] {x}^{2} + 18x = 19[/tex]
Divide 18 by 2 and sqr it.
[tex]( \frac{18}{2}) {}^{2} [/tex]
[tex] {9}^{2} = 81[/tex]
Add 81 on both sides
[tex] {x}^{2} + 18x + 81 = 100[/tex]
Using the AC method, isolate the left side into a binomial.
[tex](x + a)(x + b)[/tex]
that a and b can be added to equal 18 and be multiplied to equal 81.
Only number that does that is 9. 9+9=18, 9×9=81
[tex](x + 9)(x + 9)[/tex]
[tex](x + 9) {}^{2} [/tex]
Set up equation
[tex](x + 9) {}^{2} = 100[/tex]
Take sqr root of both sides
[tex]x + 9 = 10[/tex]
Since sqr root of a positve number can be negative, set up this equation also
[tex]x - 9 = 10[/tex]
[tex]x = 1[/tex]
OR
[tex]x = 19[/tex]
-2/3 to the power of 2 divided by 3/6
Answer:
-0.4
Step-by-step explanation:
:)
Help it is past due!!! One hundred points
i wont give the answer but i will tell you how to solve
Opening Exercise
The original triangle, labeled A, has been reflected across the first line, resulting in the image labeled B. Reflect the image across the second line. Carlos looked at the image of the reflection across the second line and said, “That’s not the image of triangle A after two reflections; that’s the image of triangle A after a rotation!” Do you agree? Why or why not?
Discussion
When you reflect a figure across a line, the original figure and its image share a line of symmetry, which we have called the line of reflection. When you reflect a figure across a line and then reflect the image across a line that intersects the first line, your final image is a rotation of the original figure. The center of rotation is the point at which the two lines of reflection intersect. The angle of rotation is determined by connecting the center of rotation to a pair of corresponding vertices on the original figure and the final image. The figure above is a 210° rotation (or 150° clockwise rotation).
Exploratory Challenge
Line of symmetry of a figure: This is an isosceles triangle. By definition, an isosceles triangle has at least two congruent sides. A line of symmetry of the triangle can be drawn from the top vertex to the midpoint of the base, decomposing the original triangle into two congruent right triangles. This line of symmetry can be thought of as a reflection across itself that takes the isosceles triangle to itself. Every point of the triangle on one side of the line of symmetry has a corresponding point on the triangle on the other side of the line of symmetry, given by reflecting the point across the line. In particular, the line of symmetry is equidistant from all corresponding pairs of points. Another way of thinking about line symmetry is that a figure has line symmetry if there exists a line (or lines) such that the image of the figure when reflected over the line is itself.
Does every figure have a line of symmetry?
Look at the chart showing a clothing stores daily stock data for the past month . Which statement is a fair conclusion based on the chart
Answer: c
Step-by-step explanation:
Pls help with these math questions. Don't just do it for points pls I really need help . 3 questions Multiple choice
Answer:
6,7,7 is your answer
6.
3x+2=2x+8
x=6
Step-by-step explanation:
7.14x+12+10x=180
24x=180-12
x=168/24=7
8.9x-3=7x+11
9x-7x=11+3
2x=14
x=14/2=7
What is 20% of 8? Write your answer to the nearest tenth.
Answer:
1.6
Step-by-step explanation:
To find 20% of 8, multiply 8 by 0.2
8(0.2)
= 1.6
So, 20% of 8 is 1.6
Hal earns n dollars per hour. Next month he will receive a 2% raise in pay per hour. The expression
n + 0.02n is one way to represent Hal's pay per hour after the raise. Write an equivalent simplified
expression that will represent his pay per hour after the raise.
Answer:
1.02n
Step-by-step explanation:
A simplified version of this expression would be the following
1.02n
This is basically adding the n variables together. We do this by adding a 1 to the number being multiplied to n. This would basically add the 2% on top of what the original pay per hour is. We can prove that these two expressions are the same by substituting n for 10 in both expressions and solving them.
1.02n
1.02 * 10 = 10.2
n + 0.02n
10 + 0.02*10
10 + 0.2 = 10.2
please help me i really need help please
Answer:
39°
Step-by-step explanation:
180-90-51=39
Answer:
its 39
Step-by-step explanation:
you know that a right triangle already has the angle 90 so 51 plus 90 equals 141
180-141=39
Select the correct answer.
What is 1/5 expressed as a percent?
A 10%
B 20%
C 30%
D 50%
Answer: B
Step-by-step explanation: 20% is correct
the _____ of 6 and 8 is 48
im super confused pls help
Triangle Theorems sold for X
Answer:
x = 8
Step-by-step explanation:
Apply the exterior angle theorem.
Thus:
45 + 6x + 7 = 13x - 4
Add like terms
52 + 6x = 13x - 4
52 + 6x - 13x = 13x - 4 - 13x
52 - 7x = -4
52 - 7x - 52 = -4 - 52
-7x = -56
-7x/-7 = -56/-7
x = 8
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed
How many different distances are possible?
Enter your answer as a number, like this: 42
The required number of different distances possible is given as 36.
Given that,
In a board game, the distance a player travels is equal to the sum of the numbers shown when two 6-sided dice are tossed.
In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
1 dice have 6 outcomes
2 dice have 6 outcomes,
Number of possible combination = 6 × 6 = 36
Thus, the required number of different distances possible is given as 36.
Learn more about permutations and combinations here:
https://brainly.com/question/2295036
#SPJ5
what is 7/8 - 4/7 as a fraction
Answer:
17/56
7/8 - 4/7 = 17/56
Answer:
17/56
Step-by-step explanation:
Multiply 7 by 7 and get 49
Then Multiply 4 by 8 and get 32
Then we Multiply the Denominators 8×7= 56
that's how u get /56
now u look at the numerators 49/56 32/56
49-32= 17
thats how u Get 17/56
Help please will mark brainliest
Answer:
The answer would be 100^32
GIVING BRAINIEST!!!!!!!!!!!! 3 times the difference of 4g and 4 is less than -6 times the sum of -3g and 4!
Answer:
3(4g-4)<-6(-3g+4)
This is due today .. please help
Answer:
y=-1/2x+1
Step-by-step explanation:
WILL MARK BRAINLEST
Phil is riding his bike. He rides 25 miles in 2 hours,37.5 miles in 3 hours, and 50 miles in 4 hours.Find the constant of proportionality and write anequation to describe the situation.
Answer:
The equation is 12.5n where n stands for any hour that Phil is riding his bike. I'm using the nth term here though.
Step-by-step explanation:
Answer:
f(x) = 12.5x
Step-by-step explanation:
50 / 4 = 12.5
25 / 2 = 12.5
so...
for 1 hour, there is 12.5 miles traveled
so...
f(x) - 12.5x
Plz mark as brainliest if this helped! Have a nice day!!!
-Lil_G
HELP PLEASE ANSWER AND EXPLAIN PLEASE ILL MARK BRAINLIEST
Answer:
[tex]\boxed {\boxed {\sf 3 \ pounds \ of \$4 \ candy}}[/tex]
[tex]\boxed {\boxed {\sf 2.5 \ pounds \ of \$3.50 \ candy}}[/tex]
Step-by-step explanation:
Let's create a system of equation. First, define the variables. One type of candy is x and the other is y.
Now, create 2 equations, one for the weight and one for the price.
[tex]x+y=5.5[/tex]
[tex]4x+3.5y=20.75[/tex]
The first equation represents the mixture of both types of candy that weighs 5.5 pounds. The second represents the prices of the candy and the mixture.
Next. solve for the variables using substitution. Isolate a variable in the first equation. Let's isolate y by subtracting x.
[tex]x-x+y=5.5-x\\y= 5.5-x[/tex]
Now, we know what y is equal to, so we can substitute it into the second equation.
[tex]4x+ 3.5 (5.5-x)= 20.75[/tex]
Distribute the 3.5. Multiply each term by 3.5
[tex]4x+(3.5*5.5)+(3.5*-x)[/tex]
[tex]4x+19.25-3.5x= 20.75[/tex]
Combine like terms on the right side.
[tex]0.5x+19.25=20.75[/tex]
Subtract 19.25 from both sides of the equation to isolate the variable.
[tex]0.5x+19.25-19.25=20.75-19.25[/tex]
[tex]0.5x= 1.5[/tex]
Divide both sides by 0.5.
[tex]\frac {0.5x}{0.5}= \frac{1.5}{0.5}\\x=3[/tex]
Now we can substitute x back into the first equation and solve for y.
[tex]x+y=5.5\\3+y=5.5[/tex]
Subtract 3 from both sides to isolate the variable.
[tex]3-3+y=5.5-3\\y=2.5[/tex]
There was 3 pounds of the $4 candy and 2.5 pounds of the $3.50 candy.
Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AD = 4
and DC = 9, what is the length of BD? (Note: the figure is not drawn to scale.)
Answer:
BD = 6
Step-by-step explanation:
Theorem: The altitude to the hypotenuse of a right triangle is the mean proportional between the segments of the hypotenuse.
So, [tex]\frac{4}{BD} = \frac{BD}{9}[/tex]
[tex]BD^{2} = 36[/tex]
BD = 6
See how easy that is IF you know the theorem.
If you throw exactly two heads in three tosses of a coin you win $35. If not, you pay me $25. Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values.
Answer:
the answer is :
25-30=-10
ANSWER FAST PLEASE
h(1) = -2
h(n) = h(n − 1) +n
h(2) =
Please solve this :)
Answer:
=25+2squared
Step-by-step explanation:
simple like terms
36-11=25
-5squared+7squared=2squared
=25+2squared
Answer:
49
Step-by-step explanation:
[tex]36 - {5}^{2} + {7}^{2} - 11[/tex]
[P.E.D.M.A.S rule] (First exponents)
= 36 - 25 + 49 - 11. (Then addition)
= 36 + 49 - 25 - 11
= 85 - 36. (At last subtraction)
= 49 (Ans)
