Answer:
9x² - 42x + 49
Step-by-step explanation:
Given
(3x - 7)² = (3x - 7)(3x - 7)
Each term in the second factor is multiplied by each term in the first factor, that is
3x(3x - 7) - 7(3x - 7) ← distribute both parenthesis
9x² - 21x - 21x + 49 ← collect like terms
= 9x² - 42x + 49
Find the distance between thE two coordinates A(2,6),N(5, 10)
Using it's formula, the distance between the points A(2,6) and N(5,10) is of 5 units.
What is the distance between two points?Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
For this problem, the points are A(2,6) and N(5,10), hence the distance is given by:
[tex]D = \sqrt{(5 - 2)^2+(10 - 6)^2}[/tex]
D = sqrt(3² + 4²)
D = sqrt(25)
D = 5.
The distance between the points A(2,6) and N(5,10) is of 5 units.
More can be learned about the distance between two points at https://brainly.com/question/18345417
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A company ships 26 refrigerators in a truck Each refrigerator weighs 309 pounds. What is the total weight of the refrigerators in the truck?
O 2,472 pounds
7,884 pounds
O 8,034 pounds
O 8,294 pounds
Answer:
8034
Step-by-step explanation:
C'mon!!.... easyyyy
309x26 =8034
through: (-4,5), slope=-7/4
Answer:
[tex]y=-\frac{7}{4}x-2[/tex]
Step-by-step explanation:
There is enough information to create an equation in point - slope form.
[tex]y-y_1=m(x-x_1)[/tex]
We have a slope of -7/4 and the point of (-4,5).
[tex]y-y_1=m(x-x_1)\rightarrow \boxed{y-5=-\frac{7}{4}(x+4)}[/tex]
Convert to slope intercept:
[tex]y-5=-\frac{7}{4}(x+4)\\\\ y-5=-\frac{7}{4}x-7\\\\y-5+5=-\frac{7}{4}x-7+5\\\\\boxed{y=-\frac{7}{4}x-2}[/tex]
Hope this helps.
(-2,7)(0,-3) write the equation that goes through the points
By what expression can 3
x-1 be multiplied to yield the product 3x3+5x2+x-1?
Answer:
x^2 + 2x + 1
Step-by-step explanation:
Divide the original equation by 3x-1
30 tens – 3 tens 3 tenths
Answer:
Step-by-step explanation:
30 tens is 30*10=300. 3 tens is 3*10=30 and 3 tenths is 3*0.1. So assuming you mean 30 tens minus 3 tens and 3 tenths, the answer would be 300-30.3 which would equal 269.7
whats the mode 40 41 41 44 44 37 38 42 41 39 44 39 37 44 42
Answer:
44
Step-by-step explanation:
The mode is the number that appears most of the time, so it is 44.
Does this represent a function?
Answer:
Yes
Step-by-step explanation:
Use the Vertical Line Test
Vertical Line Test: If a vertical line intersects a graph more than once, then the graph is not a function.
So if you draw a vertical line through that graph, it is only intersected once. Therefore, it is a function.
The time that it takes a randomly selected job applicant to perform a certain task has a distribution that can be approximated by a normal distribution with a mean value of 110 sec and a standard deviation of 15 sec. The fastest 10% are to be given advanced training. What task times qualify individuals for such training? (Round the answer to one decimal place.) seconds or less
Answer:
The task times is [tex]x =90.77 \ s[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 110 \ sec[/tex]
The standard deviation is [tex]\sigma = 15 \ sec[/tex]
Generally the task times that qualify individuals for such training is mathematically represented as
[tex]P(X < x) = 0.10[/tex]
=> [tex]P(X < x) = P( \frac{X - \mu}{\sigma } < \frac{x - 110}{15} ) = 0.10[/tex]
Generally [tex]\frac{X - \mu}{\sigma } = Z (The \ standardized \ value \ of X )[/tex]
=> [tex]P(X < x) = P( Z < \frac{x - 110}{15} ) = 0.10[/tex]
Generally the z -score of 0.10 from the z-table is
[tex]z -score = -1.282[/tex]
So
[tex]\frac{x - 110}{15} = -1.282[/tex]
=> [tex]x =90.77 \ s[/tex]
What is the place value of 7 in 7,000.2
Answer: The thousands place
Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place
Let f(x) = 12 over the quantity of 4 x + 2 . Find f(−1). (1 point) a −6b −2c 2d 6
Answer:
f(-1) = -6
Step-by-step explanation:
f(x) = 12 / ( 4x+2)
Let x = -1
f(-1) = 12 / ( 4*-1+2)
= 12 / (-4+2)
= 12 / -2
= -6
If α, β are the zeroes of the polynomials f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) =
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)explanation:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(xf(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1) + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).
Point AAA is at {(1, 5)}(1,5)left parenthesis, 1, comma, 5, right parenthesis and point CCC is at {(-5,-7)}(−5,−7)left parenthesis, minus, 5, comma, minus, 7, right parenthesis. Find the coordinates of point BBB on \overline{AC} AC start overline, A, C, end overline such that ACACA, C is 666 times as long as ABABA, B.
Answer:
(0, 3)
Step-by-step explanation:
If a point O(x, y) divides a line XY in the ratio n:m with [tex]X\ at\ (x_1,y_1)\ Y\ at\ (x_2,y_2)[/tex], the coordinates of O is:
[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]
AC is 6 times AB, this means that point B, divides line AC in the ratio 1:5. Given A at (1,5) and C at (-5, -7)
Let us assume B to be at (x, y), hence:
[tex]x=\frac{1}{1+5}(-5-1)+ 1=\frac{1}{6}(-6)+1 =0\\\\y=\frac{1}{1+5}(-7-5)+5=\frac{1}{6} (-12)+5=3[/tex]
Therefore the location of B is (0, 3)
Answer:
(0, 3)
Step-by-step explanation:
A trapezoid has a base of 4.5 inches, a height of 6 inches, and an area of 21 square inches. The equation below can be used to determine b2, the length in inches of the second base of the trapezoid.
12(4.5+b2)(6)=21
Answer:
2.5in
Step-by-step explanation:
Given parameters;
Base = 4.5inches
Height = 6inches
Area = 21in²
Unknown:
b₂ = ?
Solution:
Formula for finding the area of a trapezium;
A = [tex]\frac{1}{2}[/tex][tex](b_{1} + b_{2} )[/tex] x h
Input the parameters and solve for b₂;
21 = [tex]\frac{1}{2}[/tex][tex](4.5+ b_{2} )[/tex] x 6
21 = 3(4.5 + b₂)
21 = 13.5 + 3b₂
21 - 13.5 = 3b₂
b₂ = 2.5in
solve for x
1/5x+24=50
0.4x+18=-13
3x-5/6=1/6
plz awnser as soon as possible this homework i sue by 11:00 and there are more problems
Answer:
x=130, x=-77.5, x=1/3
Step-by-step explanation:
1st equation:
1/5x + 24 = 50
1/5x = 26
x = 26(5)
x = 130
2nd equation:
0.4x + 18=-13
0.4x = -31
x=-77.5
3rd equation:
3x - 5/6 = 1/6
3x = 1
x=1/3
Edwin went to the grocery store and bought several pounds of fruits. The fruit cost $2 per pound. He bought 2.5 pounds of apples , 1 3/10 pounds of bananas, and 0.85 pounds of kiwis. If he paid with a $10 bill , how much change will be left?
Answer:5.5 + 2.6 = 8.1 + 1.7 = 9.8
Step-by-step explanation: Soooo i think 20 cents
Erin drinks the same amount of milk every day. The equation below represents the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk. 16m=2d How long does it take for Erin to drink 1 gallon of milk?
Answer:
8 days
Step-by-step explanation:
We have that the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk is:
[tex] 16m = 2d [/tex]
Hence, the days that would take Erin to drink 1 gallon of milk is:
[tex] d = \frac{16m}{2} = 8m = 8*1 = 8 d [/tex]
Therefore, it would take for Erin 8 days to drink 1 gallon of milk.
I hope it helps you!
PLEASE HELP ME ASAP !
Answer:
1.333333333333333333333333 inches
Step-by-step explanation:
you would do 16 divided by 12. 16 divided by 12 is 1 1/3.
5x-2=3x+4
what does x equal
Answer:
x=3
Step-by-step explanation:
5x-2=3x+4
[tex]5x-2+2=3x+4+2[/tex]
[tex]5x=3x+6[/tex]
[tex]5x-3x=3x+6-3x[/tex]
[tex]2x=6[/tex]
[tex]\frac{2x}{2}=\frac{6}{2}[/tex]
[tex]x=3[/tex]
if a=3 and b=5, what is the value of a^2 + b^2?
Answer:
31
Step-by-step explanation:
6+25=
Answer:
34
Step-by-step explanation:
3^2 = 9
5^2 = 25
25 + 9 = 34
Jon caught four fish that weighed a total of 264 pounds. The kingfish weighed twice as much as the
amberjack and the white marlin weighed twice as much as the kingfish. The weight of the tarpon was 5
times the weight of the amberjack.
How much did each fish weigh?
Answer:
Amber jack 22 pounds
Tarpon 110 pounds
King fish = 44 pounds
White Marlin = 88 pounds
Step-by-step explanation:
Let the weight of the amber jack be x pounds
Kingfish weighed twice as much = 2 * x = 2x pounds
White Marlin weighed 2 times kingfish
= 2x * 2 = 4x pounds
Tarpon weighs 5 times amber jack = 5 * x = 5x
Add all together to give 264
5x + 4x + 2x + x = 264
12x = 264
x = 264/12
x = 22 pounds
Hence ;
Amberjack weighs 22 pounds
Tarpon = 5 * 22 = 110 pounds
Kingfish = 2 * 22 = 44 pounds
White Marlin = 2 times king fish = 2 * 44 = 88 pounds
what is the value of x in 5x−3(x−11)=7(2x−5)+2
7
Pls answer I’m to tired for this
What is the midpoint
between (-2, -3) and
(1, 2)?
a) (-1,-)
b) (-:-)
c) (-1,-)
d) (-3,-)
Answer:
I think it's B
...........
Answer:
d
Step-by-step explanation:
Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is
( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )
Here (x₁, y₁ ) = (- 2, - 3) and (x₂, y₂ ) = (1, [tex]\frac{1}{2}[/tex] ), thus
midpoint = ( [tex]\frac{-2+1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( [tex]\frac{-1}{2}[/tex], [tex]\frac{-3+\frac{1}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], [tex]\frac{-\frac{5}{2} }{2}[/tex] ) = ( - [tex]\frac{1}{2}[/tex], - [tex]\frac{5}{4}[/tex] ) → d
Hallie has 10 times as many pages to read for her homework assignments as Janet. Altogether, they have to read 264 pages. How many pages does each girl have to read?
Answer: 24 pages
Step-by-step explanation:
10 times 24 equals 240
Answer:
Janet has to read 24 pages.
Hallie has to read 240 pages.
Step-by-step explanation:
If Janet has to read n pages, then Hallie has to read 10×n.
Together they have to read 11 × n = 264 pages, so: n=264÷11=24.
Hope this helps
On field trips, there must be 2 chaperones for every 15 students. Which ratio correctly expresses the ratio of students to
chaperones?
2:15
15:17
17:15
15:2
Answer:
D:15:2
Step-by-step explanation:
Trust me on this and also because I have a reason.
2 chaperones for every 15 students
students to
chaperones
15 students for every 2 chaperones
Can I have brainlest please, and I hope you do well!
Find five liner solutions to the liner equation x-3/2y=-2 and plot the solutions as points o n a coordinate plane
PLEASE HELP i am failing math
Answer:
y=2x+4
if you need more help comment
GIVING BRAINLIEST!!! A student observes a beaker of room temperature water resting on a table. She states that the beaker of water does not have any energy. Which statement below is accurate regarding her observation?
a. She is correct because the beaker of water is not moving.
b. She is incorrect because the beaker of water has thermal energy.
c. She is incorrect because all water contains hydrogen and oxygen.
d. She is correct because the beaker of water is at room temperature.
Answer:
b
Step-by-step explanation:
The teacher plans to organize them in such a way that each row has students with the same shirt color and all rows have the same number of students. Find the largest number of students in each row. There are 81 students in green shirts, 54 students in white shirts, and 27 in orange shirts. The
Answer:
27
Step-by-step explanation:
Given that:
Green shirt = 81 students
White shirt = 54 students
Orange shirt = 27 students
The largest number of student in each row : we need to obtain the greatest common factor for the three numbers.
Factors of :
81 : 1, 3, 9, 27, 81
54 : 1, 2, 3, 6, 9, 18, 27, 54
27: 1, 3, 9, 27
The greatest factor which is common in all three numbers is 27, hence, the largest number of student in each row should be 27
Answer this right ill give you a brainlyest
A $55 pair of shoes was discounted 15 percent, making the sale price $46.75. The discounted price was then discounted again by 10 percent. Explain how you would find the final price of the shoes.
Answer:
$42.07
Step-by-step explanation:
If a pair of $55 shoes are discounted by 15%, then $55 (0.15) = 8.25. The pair of shoes were discounted by $8.25.
$55 - $8.25 = $46.75
If a $46.75 pair of shoes is further discounted by 10%, then $46.75 (0.10) = $4.675, or $4.68 rounded.
$46.75 - $4.68 = $42.07
Answer:
Sample response: The final price will be the discounted price multiplied by 100% — 10%. I could also multiply the discounted price by 0.10 and subtract that amount from the discounted price to get the final price.
Step-by-step explanation:
I did the assignment