Answer:
4x-12
Step-by-step explanation:
just distribute the 2 over to the 2x and the -6. That means multiply 2, to everything in the parentheses. Hope that's helpful
The simplified form of the expression [tex](2x - 6)^2[/tex] is [tex]4x^2 - 24x + 36.[/tex]
To simplify the expression[tex](2x - 6)^2[/tex] expand the square.
The square of a binomial follows the formula:
[tex](a - b)^2 = a^2 - 2ab + b^2.[/tex]
The binomial is 2x - 6.
Applying the formula, we have:
[tex](2x - 6)^2 = (2x)^2 - 2(2x)(6) + (-6)^2[/tex]
Simplify each term:
[tex](2x)^2 = 4x^2[/tex]
[tex]2(2x)(6) = 24x[/tex]
[tex](-6)^2 = 36[/tex]
Substituting these simplified terms back into the expression:
[tex](2x - 6)^2 = 4x^2 - 24x + 36[/tex]
Therefore, the simplified form of [tex](2x - 6)^2[/tex] is [tex]4x^2 - 24x + 36.[/tex]
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What is the chance you'll roll this FNC (fair # cube) and it will land on a number less than 5?
A. 4 in 6 chance
B. 3 in 6 chance
C. 1 in 6 chance
D. 5 in 6 chance
Suppose that IQ scores have a bell-shaped distribution with a mean of 104 and a standard deviation of 18. Using the empirical rule, what percentage of IQ scores are between 50 and 158?
Answer:
78
Step-by-step explanation:
Pls help me!!
A circular running track is
1/8
mile long. Elena runs on this track, completing each lap in
1/24
of an hour.
What is Elena's running speed, in miles per hour?
Answer:
It is 5mmxb3m
Step-by-step explanation:
It is what it is
Use the regression calculator to compare the teams’ number of runs with their number of wins.
A 2-column table with 9 rows. Column 1 is labeled R with entries 808, 768, 655, 684, 637, 619, 613, 609, 563. Column 2 is labeled W with entries 93, 94, 66, 81, 86, 75, 61, 69, 55.
What is the y-intercept of the trend line, to the nearest hundredth?
Answer:
-23.21
there should be a two part for this and the answer would be D y= 0.15x - 23.21
Step-by-step explanation:
The line of best will be y = 0.15x - 23.21 and the y-intercept is -23.21 after applying the formula.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2} \\\\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
The data is given:
R(x) W(y)
808 93
768 94
655 66
684 81
637 86
619 75
613 61
609 69
563 55
The line of best fit can be written as:
y = mx + c
Here m is the slope of the line best fit and c is the y-intercept
Putting the values in the formula we get:
m = 0.15
c = -23.21
The line of best fit is:
y = 0.15x - 23.21
Thus, the line of best will be y = 0.15x - 23.21 and the y-intercept is -23.21 after applying the formula.
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A 12 foot ladder is leaning against a house. The bottom of the ladder is 3 ft from
the house. How high does the top of the ladder reach? Round to the nearest
tenth.
Answer:
h = 11.61 foot
Step-by-step explanation:
Given that,
The length of a ladder, l = 12 foot
The bottom of the ladder is 3 ft from the house.
We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,
[tex]12^2=3^2+h^2\\\\h^2=144-9\\\\h=11.61\ \text{foot}[/tex]
So, the top of the ladder is at a height of [tex]11.61\ \text{foot}[/tex].
HELP ASAP 40 POINTS
What is the equation for the nth term of the sequence
And what is the 52nd term of the sequence. -8,-12,-16
Given:
The sequence is -8, -12, -16.
To find:
The nth and 52th term of the given sequence.
Solution:
We have,
-8, -12, -16
It is an AP because the difference between consecutive terms are equal. Here, first term is -8 and the common difference is
[tex]r=a_2-a_1[/tex]
[tex]r=-12-(-8)[/tex]
[tex]r=-12+8[/tex]
[tex]r=-4[/tex]
The nth term of an AP is
[tex]a_n=a+(n-1)d[/tex]
Where, a is first term and d is common difference.
Putting a=-8 and d=-4, we get
[tex]a_n=-8+(n-1)(-4)[/tex]
[tex]a_n=-8-4n+4[/tex]
[tex]a_n=-4-4n[/tex]
Putting n=52, we get
[tex]a_{52}=-4-4(52)[/tex]
[tex]a_{52}=-4-208[/tex]
[tex]a_{52}=-212[/tex]
Therefore, the equation for the nth term of the given sequence is [tex]a_n=-4-4n[/tex] and the 52nd term of the sequence is -212.
I need help finding out the area of this shape plz help me.
Answer:
hi
Step-by-step explanation:
glizzy
Answer:
Step-by-step explanation:
Area = l x w
i dont know if you are trying to find the area of the whole shape but the area of the shape all together is 25.6
In city W, the average cost for a gym membership is given by the equation y = 34.99x +49, where y is the total cost, in dollars, for x months of membership. What is the meaning of the y-value when x = 1? *
Sandra is thinking of two numbers.
Her two numbers have a negative sum, but a positive product.
Give an example of what her numbers could be.
and
Answer:
-2, -3
Step-by-step explanation:
Any 2 negative numbers would work
When 2 negative numbers are multiplied together, the product is always a positive number
Example: -2,-3
(-2)+(-3)=-5
(-2)(-3)=6
The example of her numbers could be -2 and -3.
What is a word problem?
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the two numbers be x and y.
Two numbers have a negative sum, but a positive product.
So, the two numbers are -x and -y.
Let us consider the two numbers be -2 and -3
Sum of two numbers = [tex]-2+(-3)[/tex]
⇒ [tex]-5[/tex]
Product of two numbers = [tex](-2)(-3)[/tex]
⇒ [tex]6[/tex]
Thus the sum have a negative number and the product is a positive product.
Hence we can conclude that the example of her numbers could be -2 and -3.
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Determine the mean, median, mode, and range for the data set:
5, 6, 12, 7, 8, 10, 8
Mean-
Median-
Mode-
Range-
That’s the question
Answer:
Step-by-step explanation:
Mean (Average): 8
Median (Middle): 8
Mode (Most Common): 8
Range (Biggest - Smallest): 7
d: 11
A food company is designing boxes for several products. Each box is a rectangular prism.
15
The company makes a single serving cereal box that contains 1.2 ounces of cereal. They plan to make an extra large box for school
cafeterias. The extra large box will be a dilation of the single serving box using a scale factor of 4. How many ounces of cereal will
the extra large box contain?
I need step by step
How many ounces of cereal will the extra large box contain is 76.8 ounces.
Number of ounces of cereal?Using this formula
Number of ounces of cereal=Number of ounces×Scale factor
Let plug in the formula
Number of ounces of cereal=1.2×4×4×4
Number of ounces of cereal=1.2×64
Number of ounces of cereal=76.8 ounces
Therefore how many ounces of cereal will the extra large box contain is 76.8 ounces.
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–19w + 11 = –17w − 19
w=?
Answer:
W = 15. I hope this helped.
Step-by-step explanation:
Steps:
1.Add 19w to both sides.
11=−17w−19+19w
2.Simplify -17w-19+19w to 2w-19
11=2w−19
3.Add 19 to both sides.
11+19=2w
4. Simplify 11+19 to 30.
30=2w
5.Divide both sides by 2.
30/2 = w
6.Simplify 30/2 to 15.
15=w
7.Switch sides.
w=15
What is the equation of the line that passes through the point ( -1, 1) and is perpendicular to 2x + 4y = 16?
A. y = −2x − 1
B. y − 3 = 2x
C. y = 6x + 7
D. Cannot be determined
Answer:
B
Step-by-step explanation:
We want the equation of the line that passes through the point (-1, 1) and is perpendicular to:
[tex]2x +4y=16[/tex]
Remember that the slopes of perpendicular lines are negative reciprocals of each other.
So, let's find the slope of the original line first. We can do so by converting it to slope-intercept form. Thus:
[tex]4y=-2x+16[/tex]
Therefore:
[tex]\displaystyle y=-\frac{1}{2}x+4[/tex]
The slope is -1/2.
The negative reciprocal of -1/2 is 2.
Thus, the slope of our new line is 2.
The slope is 2 and it passes through the point (-1, 1).
We can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Substitute:
[tex]y-(1)=2(x-(-1))[/tex]
Distribute:
[tex]y-1=2x+2[/tex]
Subtracting 2 from both sides yields:
[tex]y-3=2x[/tex]
Therefore, our answer is B.
Please help I have 2 minutes!
Answer:
I think y= -3x+2 ? not sure
Step-by-step explanation:
Answer:
6 < 2+1= 3F
Step-by-step explanation:
First, we know that the x is going to the right
1 up, 2 down.
If you go down 6 and go back up 1 we will have the equation 6 < 2+1=3F
You can also use Desmos Graphing Chart to help you!
-6 = 1+3 < 4
Hope this helps!
Mark as Brainllest if it helped you!
Choose all the numbers that 135 is divisible by.
Answer:
1, 3, 5, 9, 15, 27, 45, 135.
Step-by-step explanation:
Answer:
The factors of 135 are 1, 3, 5, 9, 15, 27, 45, 135
4. simplify 32³/⁵. a. 2. b. 8. c. 16. d. 24
Answer:
2^(5×3/5)=2³=8is your answer
Solve the system of linear equations by substitution.
y = -2x + 10
y = x +1
Step-by-step explanation:
y=14
y=1
thats the answer.
Find the solution in the system of equations shown below
Answer:
no solution
Step-by-step explanation:
the lines are parallel, they never intersect.
.............
The ratio of boys to girls in a class is 5:7 There are 36 students in the class. How many more girls than boys?
Answer:
The answer is 6.
Step-by-step explanation:
This is how I do it, there are other ways too but,
add up the ratio 5+7=12
36 (students total) divided by 12 = 3
find the difference between the ratio, which is 2.
multiply 2 by 3 and you get 6.
hola please help i’ll give brainliest but please answer correctly
Answer:
Step-by-step explanation: 1) 14.5 bc
We have the equation:
43.5 ÷ 3 = 14.500
Calculated to 3 decimal places.
2) They are all the same because they are the same numbers but in different places.
i hope this helps! =3
What is -1/6 as a decimal? a) -16 b) - 6 c) - 6 d) -1.6
Answer:
-0.16666666666666
Step-by-step explanation:
-.16
Answer:
0.1667
Step-by-step explanation:
A scientist is performing a study on mosquitoes. She collects water with mosquito larvae and places it in an enclosed container in her lab. The scientist uses data from the study to create the function, M(t)=-3t^2+57t-144, where t is the number of days in the study.
Part A: Which equivalent form of M(t) reveals when the mosquitoes first appeared in the container and when there were no more mosquitoes in the container?
Part B: How long were there mosquitoes in the container?
Please show the work love yaa.
Answer:
M(t) = -3 (t - 16) (t - 3)
Step-by-step explanation: Assuming you are working on the practice book - section 5: quadratic equations and functions than this is the correct answer to your question. Although there is another question below the on you have asked on in the actual textbook so if you need help on that just ask me in the comments below.
n + 5 = n +7 Find a value of n that makes the equation true.
Answer:
This equation has no solution.
Step-by-step explanation:
n should equal some value that makes the statement true, and there is none. To prove this, solve for n and you'll get a nonsensical answer.
n + 5 = n + 7
n = n + 2
0 = 2 ?
please help i’m sorry!!! 15 points again!
Answer:
Guess I'll agree with the other person.
Step-by-step explanation:
What is two thing you like about math
Answer:
1. Math encourages curiosity and questions.
2. Math can save you money. ...
Which community is more toxic
1 reddit
2 2b2t
3 dead by daylight
4 the entirety of 4chan
SOMEONE ON THIS PLANET PLEASE HELP
Answer:
38*
Step-by-step explanation:
HELP “The vertical supports in this truss bridge are built so that
AABO=AOCD. Which of the following statements
is NOT true?”
Answer:
The statement that is not true is;
c) m∠ABO = m∠ODC
Step-by-step explanation:
With the assumption that the lengths AO, and OD are equal, we have that in ΔABO and ΔOCD, the following sides are corresponding sides;
Segment AO on ΔABO is a corresponding side to segment OD on ΔOCD
Vertices B and C on ΔABO and ΔOCD are corresponding vertices
Therefore;
Segments AB and OB on ΔABO are corresponding sides to segments OC and OD on ΔOCD respectively
Therefore, ∠ABO on ΔABO is the corresponding angle to ∠OCD on ΔOCD
Given that ΔABO ≅ ΔOCD, we have that ∠ABO ≅ ∠OCD
Therefore;
m∠ABO = m∠OCD by definition of congruency
Answer:
DStep-by-step explanation:
Can someone please answer these questions ASAP!!
Answer fast!!!!!!!!!
Answer:
208?
Step-by-step explanation:
Answer:
Decimal- 2.08
Mixed Number- 52/25