Answer:
Your answer will be y=x2−12x+32
Step-by-step explanation:
Step 1 : x = 4 and x = 8 are the two real distinct solutions for the quadratic equation, which means that x − 4 and x − 8 are the factors of the quadratic equation. ( x − 4 ) ( x − 8 ) = 0
Step 2: Expand ( x − 4 ) ( x − 8 ) using the FOIL Method. x ⋅ x + x ⋅ − 8 − 4 x − 4 ⋅ − 8 = 0
Which would give you x2 − 12 x + 32 = 0
Step 3: The standard quadratic equation using the given set of solutions
{ 4 , 8 } is y = x 2 − 12 x + 32 .
This is you answer should be
y = x 2 − 12 x + 32
find the zero of y=8x^(2)+2x+4
Answer:
hello
8 x² + 2 x + 4 = 0
Δ = 4 - 4 ( 8 * 4 ) = 4 - 128
Δ < 0 = no solutions
Step-by-step explanation:
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)−7 ?
The graph of g(x) is the graph of f(x) translated 7 units down.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 7.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 7.
The graph of g(x) is the graph of f(x) translated 7 units left.
help please
Answer:
translated down 7 units
Step-by-step explanation:
whenever it is written like this I'm pretty sure it's just translated down it would have to be in parentheses to go left and right
A relation contains the points {(1, -4), (3, 2), (4, -3), (x, 7), (-4, 6)}.For which values of x will the relation be a function? Select ALL that apply.
A . -4
B. -3
C. 0
D. 3
E. 4
Answer:
th e answer is E. 4
Step-by-step explanation:
Which expression is equivalent to 3^0x3
Hey there!
3^0 * 3
= 1 * 3
= 1 + 1 + 1
= 2 + 1
= 3
Therefore, your answer is: 3
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
HElPPPPPPPPPPPPP
Select the correct answer from each drop-down menu.
1st question (0, 0.35, 0.71 , -0.71)
2nd question (0, 0.65, -0.54, -1.22)
Jasmin is getting a new phone. It is $50 to activate and $15 monthly to keep on.
Please represent this word problem in all other ways. Explain if this is linear or not. Why or why not( HELP!!)
Answer:
y=15x+50
Step-by-step explanation:
yes this is linear because you are paying 15 dollars every month, with 50 dollars too
Line t passes through points (9, 10) and (3, 3). Line u is parallel to line t. What is the slope of
line u?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Step-by-step explanation:
a parallel line has the same slope. that is the actual meaning of "parallel".
so we need to find the slope of line t to get our answer.
remember, the slope is the ratio " y coordinate change / x coordinate change" when going from one point on the line to another.
so, here we have 2 points (9, 10) and (3, 3).
going from the first to the second we see
x changes by -6 (from 9 to 3).
y changes by -7 (from 10 to 3).
the slope is then -7/-6 = 7/6.
and therefore, the slope of u is also 7/6.
Answer
(b)
Factorise 6ac - 4ad
help me with this pls :)) i really need help :)
Hey there!
In order to factorise an expression, we need to factor out the greatest common factor (divide all the terms in the expression by the greatest common factor):
6ac-4ad
In this case, the greatest common factor is 2a.
Put it outside the parentheses:
2(3c-2d)
That's the answer.
Hope everything is clear.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
A bookstore had 80 copies of a magazine. Yesterday, it sold 2/5 of them. Today, it sold 1/8 of what remained. How many copies does the bookstore have left?
Answer:
48 or 24
Step-by-step explanation:
Select all the true statements. Triangle A B C where the measure of angle A is 2 x plus 1 degree, angle B is x degrees, and angle C is x plus 15 degrees. Group of answer choices m∠C = 56 From smallest to largest: ∠B, ∠C, ∠A m∠A = 99 x = 49 (4x + 16) = 180
Answer:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
Step-by-step explanation:
Given
[tex]A = 2x + 1[/tex]
[tex]B = x[/tex]
[tex]C = x + 15[/tex]
Required
Arrange the angles from smallest to largest
First, we need to determine the value of x.
Since, it is a triangle:
[tex]A + B + C = 180[/tex]
Substitute values for A, B and C
[tex]2x + 1+ x + x + 15 = 180[/tex]
Collect Like Terms
[tex]2x + x + x = 180 - 15 -1[/tex]
[tex]4x = 164[/tex]
Solve for x
[tex]x= 164/4[/tex]
[tex]x= 41[/tex]
Solve for A, B and C
[tex]A = 2x + 1[/tex]
[tex]A = 2 * 41 + 1[/tex]
[tex]A = 82 + 1[/tex]
[tex]A = 83[/tex]
[tex]B = x[/tex]
[tex]B= 41[/tex]
[tex]C = x + 15[/tex]
[tex]C = 41 + 15[/tex]
[tex]C = 56[/tex]
From Smallest to Largest, we have:
[tex]B= 41[/tex]; [tex]C = 56[/tex]; [tex]A = 83[/tex]
The author of the study claims that drivers who receive their licenses at 17
years of age are the least likely to commit a moving violation during the
first 8 months after receiving their license. Use the information in the table
to either support or refute the author's claim. Provide mathematical
justification for your answer.
Answer:
this is true I some cases but not all teens are the same
Step-by-step explanation:
Answer:
Refute/Disagree
Step-by-step explanation:
My answer(I did the test): I refute the authors claim. The chart clearly shows that at the end 16 year olds and 17 year olds are both at the same rate if likeness of committing a moving violation. The least likely to commit a moving violation during the first 8 months is the 16 year old and 6 month drivers. You can find a more accurate answer by adding up all the percentages for each age and then divide it by 8 (months), this number is the overall percentage for the 8 months.
Find the product (4x – 2y)^3
Answer:
(2)3 • (2x - y)3
Step-by-step explanation:
Put the exponent aside and simplify the base by pulling out like factors
4x-2y = 2 • (2x-y)
Remember the 4th law of exponents : (a • b)m= am• bm
Retract the exponent and apply the 4th law to the simplified base: ( 2 • (2xy) )3 = (2)3 • (2x-y)3
MATH HELP PLEASE 1 QUESTION
Answer:
C
Step-by-step explanation:
simplifying c gives us 5/8x + 2.5 = 5/8x + 1.5 , which then gives us
2.5=1.5 , which is impossible, so it must be c
Asap
Select the correct answer.
Which function has a restricted domain?
Step-by-step explanation:
Check second one
[tex]\\ \rm\Rrightarrow k(x)=(-x+3)^{\frac{1}{2}}[/tex]
1/2 means square root[tex]\\ \rm\Rrightarrow \sqrt{(-x+3)}[/tex]
So
[tex]\\ \rm\Rrightarrow -x+3>0[/tex]
[tex]\\ \rm\Rrightarrow -x>-3[/tex]
[tex]\\ \rm\Rrightarrow x<3[/tex]
Hence.
Domain is restricted
Option B is correct
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches
The width of each ring in the redwood trees of coastal California is 0.06 inches.
How to estimate the width of a ring in a tree
According to the statement, we know that age of a tree and base diameter are directly proportional to the number of rings. The width of the ring is estimated by dividing the radius of the tree base by the age of the tree:
[tex]w = \frac{10\,ft \times 12\,\frac{in}{ft} }{2000}[/tex]
[tex]w = 0.06\,in[/tex]
The width of each ring in the redwood trees of coastal California is 0.06 inches. [tex]\blacksquare[/tex]
Remark
The statement in incomplete, correct form is shown below:
Each year of its life, a tree grows a new ring just under the outside bark. The new ring consists of two parts, light-colored springwood, when the tree grows the fastest, and a darker-colored summerwood, when growth slows. When conditions are good and there is lots of sun and rain, the new ring is thicker than the rings formed when there is drought or excessive cold. At the center of the tree is a dark circle called pith that is not connected to the age of the tree.
The redwood trees of coastal California are the tallest living things on earth. On redwood is 350 feet tall, 20 feet in diameter at its base, and around 2000 years old. Assume that the lower 50 feet of the tree form of the tree form a cylinder 20 feet in diameter and that all of the rings grew at the same rate.
How wide is each annual ring (springwood and summerwood combined)? Disregard the bark and pith in your calculations. Show your work. Write your answer in inches.
To learn more on trees, we kindly invite to check this verified question: https://brainly.com/question/13604529
Math homework someone help and how are you guys? :)
Find an equivalent ratio in simplest terms: 18:21 ?
6/7
Step-by-step explanation:Hi there !
18 : 21 = 18⁽³/21 = 6/7
Good luck !
What is the slope for the equation of the line passing through the points (20,-32) and (10, -15)?
Answer:
-17/10
Step-by-step Explanation :
todd Has a collection of 8cds and sally has a collection of 18 cds Todd is adding 9cds a month to his collection while sally is adding 7 cds a month to her collection when will they have the same number of cds and how many will they have
Answer:
Step-by-step explanation:
Let's create some equations first.
Say M = number of months, T = Todd and S = Sally.
We know that Todd starts with 8 cds and sally starts with 18 cds.
This means when M= 0, T = 8 and S = 18
After one month (M = 1), Todd adds 9 cds.
This means can write the following equation:
T = 8 + 9M
So after the first month (where M = 1), we can find out that Todd has
T = 8 + 9 x 1 = 8 + 9 = 17 cds
For Sally, we know she adds 7 cds per month.
S = 18 + 7M
After one month (M = 1),
S = 18 + 7 x 1 = 25 cds.
Now we are trying to find when they will have the same number of cds and how many.
This means we are trying to figure out what M = ? when Todd and Sally are equal.
So we want to find when T = S
Remember, earlier we wrote :
T = 8 + 9M
S = 18 + 7M
If T = S, this means:
8 + 9M = 18 + 7M
Gather the like terms and solve for M.
Subtract 8 from both sides.
9M = 10 + 7M
Subtract 7M from both sides
2M = 10
Divide both sides by 2
M = 5.
So in 5 months, we are saying T = S (Todd and Sally will have the same number of cds).
Put M = 5 back into our earlier equations to find out how many cds they have after 5 months.
T = 8 + 9M
T = 8 + 9 x 5
T = 53
Therefore, after 5 months Todd and Sally will have 53 cds each :)
What is the area of the shaded region? 32 cm 32 cm 219.75cm * 804 24cm 1024cm #: 900cm
Answer:
if it is the circles it is 64
Step-by-step explanation:
if the shaded area is the circles than it is 64
ConnectMe phone service charges Deva $29.95 per month for cellular data. Endless Data phone company is offering the same service for 20% less. How much will Deva save per month if she switches to Endless Data?
Answer:
5.99
Step-by-step explanation:
please answer and show work asap !! due in 30 mins !!
Answeri got u my boy
Step-by-step explanation:
it is
implifying
4x + 6y + -3 = 0
Reorder the terms:
-3 + 4x + 6y = 0
Solving
-3 + 4x + 6y = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3' to each side of the equation.
-3 + 4x + 3 + 6y = 0 + 3
Reorder the terms:
-3 + 3 + 4x + 6y = 0 + 3
Combine like terms: -3 + 3 = 0
0 + 4x + 6y = 0 + 3
4x + 6y = 0 + 3
Combine like terms: 0 + 3 = 3
4x + 6y = 3
Add '-6y' to each side of the equation.
4x + 6y + -6y = 3 + -6y
Combine like terms: 6y + -6y = 0
4x + 0 = 3 + -6y
4x = 3 + -6y
Divide each side by '4'.
x = 0.75 + -1.5y
Simplifying
x = 0.75 + -1.5y
Write 2016 in standard form.
Answer:
2.016 x 10^3
Standard form must have a single digit number x10 to the power of a number.
Here, we had to move the decimal point three times to the left, therefore it will be a power of positive three for the 10.
A juice and two sandwiches cost $70.00. A juice and four sandwiches cost $130.00. What is the cost of a sandwich?
Answer:
a sandwich = $30
Step-by-step explanation:
Reason why is because when it added 2 more sandwiches it added 70 with 30 2 times which equals 130.
Bill traveled 12.5 feet in 1 second and Kristie traveled 100 feet in 10 seconds. Who traveled faster?
Answer:Bill did
Step-by-step explanation:
12.5x10=125
Suppose line B has the equation 3x + 6y = 12.
The line parallel to line B has a slope of
Convert to x in terms of y.
3x + 6y = 12
Divide by 3.
x + 3y = 4
Subtract x.
3y = -x + 4
Divide by 3.
y = (-1/3)x + 4
The slope is -1/3 here. A parallel line would have the same slope.
So the slope of the parallel line is -1/3
Hope this helps
A traffic sign casts a shadow 7m long at the same time a person 1.6m tall casts a shadow 4m long. Find the height of the sign.
height of sign = x
length of sign shadow = 7m
For sign:-
[tex]tan \theta = \frac{p}{b} = \frac{height}{shadow} = \frac{x }{7} [/tex]
height of man = 1.6m
length of man shadow= 4m
For man :-
[tex] \tan\theta = \frac{p}{b} = \frac{height}{shadow} = \frac{1.6}{4} [/tex]
tanθ is same bez sun is at same level (angle) for both of them
So according to questions :-
[tex] \tan( \theta) = \frac{x}{7} = \frac{1.6}{4} \\ \frac{x}{7} = \frac{ \cancel{1.6}^{ \: \: 0.4} }{ \cancel4} \\ x = 7 \times 0.4 \\ x = 2.8m \: [/tex]
so we can say height of the sign = x = 2.8 m
please help me!!
solve each of the equations below for the given variable
a.
[tex] \frac{ 2n - 1}{19} = \frac{m}{10} [/tex]
b.
[tex] \sqrt{x + 2 = 5} [/tex]
Step-by-step explanation:
b.
[tex]( \sqrt{x + 2} ) { }^{2} =( 5) { }^{2} \\ \\x + 2 = 25 \\ x = 25 - 2 \\ x = 23 [/tex]
can you please help me with this
Answer:
235 cm²
Step-by-step explanation:
Area can be split into top and bottom rectangles.
Area = 11 x (14 - 9) + 9 x 20
= 11 x 5 + 180
= 55 + 180
= 235 cm²
What is the inverse of the conditional statement?
If a polygon has five angles, then it is a pentagon.
If a polygon is a pentagon, then it has five angles.
If a polygon is not a pentagon, then it does not have five angles.
If a polygon does not have five angles, then it is not a pentagon.
If a polygon has five angles, then it is not a pentagon.
(A.) If a polygon is a pentagon, then it has five angles.
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
Option C is the correct answer.
What is a pentagon?A pentagon is a polygon that has five sides and five angles.
The sides and angles of a pentagon are not all equal unless it is a regular pentagon.
A regular pentagon has five equal sides and five equal angles.
We have,
The inverse of a conditional statement is formed by negating both the hypothesis and the conclusion.
In this case, we negate the statement "a polygon has five angles" to "a polygon does not have five angles," and negate the statement "it is a pentagon" to "it is not a pentagon."
Thus,
The inverse of the conditional statement "If a polygon has five angles, then it is a pentagon" is "If a polygon does not have five angles, then it is not a pentagon."
Learn more about the Pentagon here:
https://brainly.com/question/30182047
#SPJ7
Find the difference between (7+a) and (-7a+1)
[tex]Answer:[/tex]
The first equation is simply just 7 + [tex]number[/tex]
The second equation, however, is saying -7 times [tex]number[/tex] plus 1
A negative number times a positive number is always a negative number. The negatives cancel out.