Answer:
The least common denominator of the fraction is 14
1/2= 7/14
1/7= 2/14
Graph the second equation to find the solution of the system of equations.
y = –x,
y = 2x + 6
What is the point of intersection
Answer:
So the point of intersection would be -x=2x+6
and then we'll subtract 2x on both sides and get -3x=6
this will result in x=-2
Then we'll substitute that into y=-x, so y=2
Therefore the point of intersection is (-2,2)
Hope I helped, have a nice day :)
if the triangle shown is rotated 180 degrees about the origin, what are the coordinates of Point F?
Point F=(3;2) I think so
help asap!! i’ll mark brainlist :)
Answer:
d=120-75
Step-by-step explanation:
so that means d=45
For a science project, Joseph launches a model rocket. The function "h(s)=-3s^2+6s+45 represents the height in feet of the rocket after s seconds. It will take the rocket ___ second(s) to reach its maximum height. A - 1 B - 3 C - 5 D - 45 E - 48
Answer:
t = 1 s to reach its maximum height.
Step-by-step explanation:
The function that represents the height of the rocket after s seconds is given by :
[tex]h(s)=-3s^2+6s+45[/tex] ...(1)
For maximum height,
[tex]h'(s)=0\\\\-6s+6=0\\\\s=1[/tex]
It is the time the rocket will take. So, the ball will take 1 second to reach its maximum height.
What is the smallest of 3 consecutive odd numbers if the product of the smaller two integers is 3 less than 6 times the largest integer?
Answer:
7,9,11
Step-by-step explanation:
Let first number is x, second number is (x+2) and third number is (x+4).
ATQ,
The product of the smaller two integers is 3 less than 6 times the largest integer.
x(x+2) = 6(x+4)-3
x² + 2x = 6x+24-3
x² + 2x = 6x+21
x² + 2x -6x -21=0
x²-4x -21=0
It is a quadratic equation whose solution is :
x = -3 and x = 7
First number = 7
Second number = 9
Third number = 11
Hence, this is the required ssolution.
Find the equation of a line that passes through the point (3,6)
with slope 2.
Answer:
y = 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (3, 6) into the partial equation
6 = 6 + c ⇒ c = 6 - 6 = 0
y = 2x ← equation of line
The equation of line that passes through the point (3,6) with slope 2 is;
⇒ y = 2x
Given that;
The point is (3, 6)
The slope of line = 2
We have to find the equation of a line that passes through the point (3,6) with slope 2.
What is equation of line?
The equation of line that passes through the point (x₁, y₁) with slope m is;
y - y₁ = m (x - x₁)
The point is (3, 6)
The slope of line = 2
The equation of line that passes through the point (x₁, y₁) = (3,6)
with slope(m) = 2 is;
y - y₁ = m (x - x₁)
y - 6 = 2 (x - 3)
y - 6 = 2x - 6
Add 6 on both sides;
y = 2x
Hence, The equation of line that passes through the point (3,6) with slope(m) 2 is;
⇒ y = 2x
Learn more about the equation of line visit:
https://brainly.com/question/21967006
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which inequalities are truth, select the 4 correct answers.
Answer:
square the number in the middle to solve
it's easier than calculating the roots
1) true
2) true
3) false (obviously)
4) false (3² = 9, not less than 9)
5) true
6) true
Answer:
Step-by-step explanation:
True 2.23<2.3<2.44
True 2.23<2.4<2.44
True
False 2.82<3<3
True 2.82<2.9<3
False 2<4.5<2.23
12345678910111221330200w
Answer:
ok then, what an excellent string of numbers and letters
if a bus covers a distance of 428.5 km in 8 hours,find the speed of the bus
Answer:
53.525kmh^-1
Step-by-step explanation:
average speed=total distance/total time taken
=428.5km/8h
=53.525kmh^-1
Put the steps in correct order to find the mean absolute deviation. WILL MARK BRAINLEST
Answer:
1. First, find the mean of the data set.
2. Find the average of the numbers by adding them and dividing them by the number of values
3. Subtract the mean from each value in the table.
Step-by-step explanation:
Your answer is correct! Hope this helps!
Find the slope from the two points given: (0, -2) and (-6, 4)
Answer:
Step-by-step explanation:
here x1=0 y1=-2 x2=-6 y2=4
slope=y2-y1/x2-x1
=4-(-2)/-6-0
=4+2/-6
=6/-6
=-1
therefore slope=-1.
Which table shows a function that is decreasing over the interval (-2, 0)?
x
f(x)
f(x)
X
f(x)
-2
0
-2
-15
-3
N
-1
-5
0
-5
-2
0
0
0
2.
-20
-1
-10
1
5
4
4
-30
0
-24
O
O
Answer:
it is becoming a actual number and not a negative
Help fast!! please.
Answer:
Mean = 10
Variance = 30.89
Standard Deviation = 5.56
Step-by-step explanation:
Find the Mean, Variance and Standard deviation
6, 14, 8, 2, 11, 7, 12, 4, 18, 18
Step 1
We rearrange the data and find the Mean
2, 4, 6, 7, 8, 11, 12, 14, 18, 18
Mean = Sum of values/Number of values
= 2 + 4+ 6+ 7+ 8 + 11 + 12 + 14 + 18 +18/10
= 100/10
= 10
Step 2
We find the variance of this sample days ma
Variance = (x - Mean)²/n - 1
n = 10
Hence,
=( (2 - 10)² +(4 - 10)²+ (6 - 10)²+ (7 - 10)² + (8 - 10)² + (11 - 10)² + (12 - 10)² + (14 - 10)² + (18 - 10)² +(18 - 10)²) /10 -1
= ( 64 + 36 + 16 + 9 + 4 + 1 + 4 + 16 + 64 +64)/9
= 278/9
= 30.88888889
Approximately = 30.89
Step 3
Standard Deviation = √Variance
= √30.89
= 5.5578772926
Approximately = 5.56
#42 urgent please be certain
Answer:
Its D
Step-by-step explanation:
Put the quadratic into vertex form and state the coordinates of the vertex. y= y= \,\,x^2-6x-3 x 2 −6x−3
Answer:
[tex]y = (x - 3)^2 - 12[/tex]
[tex](3,-12)[/tex]
Step-by-step explanation:
Given
[tex]y = x^2 - 6x - 3[/tex]
Solving (a): In vertex form
The vertex form of an equation is:
[tex]y = a(x - h)^2 + k[/tex]
To do this, we make use of completing the square method.
We have:
[tex]y = x^2 - 6x - 3[/tex]
------------------------------------------------------------------
Take the coefficient of x (i.e. -6)
Divide by 2; -6/2 = -3
Square it: (-3)^2 = 9
Add and subtract the result to the equation
------------------------------------------------------------------
[tex]y = x^2 - 6x - 3[/tex]
[tex]y = x^2 - 6x + 9 - 9 - 3[/tex]
[tex]y = x^2 - 6x + 9 - 12[/tex]
Factorize [tex]x^2 - 6x + 9[/tex]
[tex]y = x^2 - 3x-3x + 9 - 12[/tex]
[tex]y = x(x - 3)-3(x - 3) - 12[/tex]
Factor out x - 3
[tex]y = (x - 3)(x - 3) - 12[/tex]
Express as squares
[tex]y = (x - 3)^2 - 12[/tex]
Hence, the vertex form of [tex]y = x^2 - 6x - 3[/tex] is: [tex]y = (x - 3)^2 - 12[/tex]
Solving (b): State the coordinates of the vertex.
In [tex]y = a(x - h)^2 + k[/tex]; the vertex is: (h,k)
The vertex of [tex]y = (x - 3)^2 - 12[/tex] will be [tex](3,-12)[/tex]
Ruth is knitting hats to sell at a local fair. The booth costs her $63 and the materials for each hat cost $10. She plans on selling them for $19. How many hats will Ruth have to make to break even, and how much will sales and costs be at that point?
Answer: Ruth have to make 7 hats to break even.
Step-by-step explanation:
Break even point is a point where Cost = Revenue.
Let x be the number of hats sold.
Given: Cost of booth = $63
Each hat cost = $10
Selling price for each cost = $19
As per given,
Total cost = Cost of booth+ (Cost of each hat)(Number of hats)
= 63+10x
Total selling price = 19x
For break even,
63+10x=19x
9x=63
x=7
Hence, Ruth have to make 7 hats to break even.
A mattress store in Stafford purchased a mattress at a cost of $255 and marked it up 100%. Later on, Cassie bought the mattress. If the sales tax in Stafford is 11%, how much did she pay in all?
Answer: 278.18
sorry if it's wrong
Step-by-step explanation: if you divide 255 by 11 you get 23.18181818181
so if you simplify you get 23.18 so that is the tax plus the original payment which is 278.18
Answer: The correct answer is $566.10
Step-by-step explanation: IXL
20 pts
The vertices of a triangle are (3,-2), (5.-8) and (-2, 1). What is the approximate perimeter of
the triangle
Answer:
23.56 length units
Step-by-step explanation:
To calculate the perimeter of a triangle, we need to calculate the length of all the sides, then sum up the lengths.
To calculate each side, we take the differences of the coordinates of consecutive vertices, square, add, and take square-root (Pythagoras theorem).
Side 1: (3,-2), (5, -8)
difference in coordinates=(2,-6), length=sqrt(2^2+6^2) = sqrt(40)
Side 2: (5, -8), (-2,1)
difference in coordinates=(7,-9), length=sqrt(7^2+9^2) = sqrt(130)
Side 2: (-2,1), (3,-2)
difference in coordinates=(5,-3), length=sqrt(5^2+3^2) = sqrt(34)
Perimeter
= sum of sides
= sqrt(40)+sqrt(130)+sqrt(34)
= 6.32+11.40+5.83
= 23.56 approximately
The solution set of n2 − 14n = -45 is {____}.
Please help for geometry final!!
Answer:
∠1 = 180° - 123° = 57°
∠2 = 180° - 57° - 48° = 75°
∠3 = 180° - 123° - 13° = 44°
Answer:
2
[tex]m < 1 = 180 \degree - 123\degree \\ = 57\degree[/tex]
3
[tex]m < 2 = 180\degree - 57\degree - 48\degree \\ = 75\degree[/tex]
4
[tex]m < 3 = 180\degree - 123\degree - 13\degree \\ = 44\degree[/tex]
how do i solve this
it’s geometry
Answer:
x=5, y=11
Step-by-step explanation:
> sum of interior angles of a polygon is (n-2)·180°, where n-is the number of sides, so our rhombus has sum of angles =(4-2)·180° =360°
>we know that the opposite angles are congruent so ...
>we have the sum of interior angles is
108+108+7y-5+7y-5 = 360, combine like terms
14y +206 =360, subtract 206 from both sides
14y = 154, divide both sides by 14
y= 11
>the sides are congruent therefore
4x+17 = 8x-3 , subtract 4x, and add 3 from both sides
17+3 =8x-4x, combine like terms
20 = 4x , divide by 4 both sides
5 =x
A zoo has 15 toucans and 60 parrots. What is the ratio of the number of toucans to the
number of parrots at the zoo?
А
A
1:4
B
1:5
с
4:1
D
4:5
Answer:
A, 1:4
Step-by-step explanation:
15:60 simplified:
3:12
1:4
Please help with this. This is a major grade
Answer:
68°
Step-by-step explanation:
Refer to the picture above. Therefore,
angle NKQ + 90 + 90 + 112 = 360
angle NKQ = 68°
What additional information do you need to prove ∆ABC ≅ ∆DEF by the SSS Postulate?
Answer:
The first choice AB congruent to DE
Step-by-step explanation:
we already know that the other sides are congruent by looking at the dashes on the side, but there is no indicatation that that Side AB and side DE are congruent
find the LCM of 30,45,60,90
Answer:
180
Step-by-step explanation:
30 = 2 x 3 x 5
45 = 3^2 x 5
60 = 2^2 x 3 x 5
90 = 2 x 3^2 x 5
LCM ( 30, 45, 60, 90 )
= 2^2 x 3^2 x 5
= 4 x 9 x 5
= 180
Is the answer a b or c
Answer:
Step-by-step explanation: A
Answer:
B
Step-by-step explanation:
10 to 4
4 divided by 2 = 2, 2 x 5 = 10
15 to 6
6 divided by 2 = 3, 3 x 5 = 15
35 to 14
14 divided by 2 = 7, 7 x 5 = 35
how do i solve this in standard form ( see image)
Answer:
-25
Step-by-step explanation:
Let h = -3.
[tex](8(-3)-1)-(-3+3)\\(-24-1)-(-3+3)\\-25-0\\-25[/tex]
Which expression is equivalent to √900f^6/100g^4
Answer:
A
Step-by-step explanation:
c and d cannot be since the answer to sqrt((900f^6)/(100g^4)) is 3f³/g²
and not 30f something.
the best answer I see is correct is a.
An animal shelter has three kinds of Labrador Retrievers: yellow, brown, and black. They have
both male and fomae in all of the colors. What is the probability of picking a female yellow Labrador
Retriever?
Step-by-step explanation:
There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)
When choosing a dog from random, you can either choose:
Brown/M
Brown/F
Black/M
Black/F
Yellow/M
Yellow/F
(This list is called the Sample Space, a list of all possible outcomes)
Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.
When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.
Help what’s X? Need answer asap
Answer:
x = 10
Step-by-step explanation:
The secant- secant angle 3x is half the difference of the intercepted arcs, that is
3x = [tex]\frac{1}{2}[/tex] (4x + 50 - 30 )
3x = [tex]\frac{1}{2}[/tex] (4x + 20) = 2x + 10 ( subtract 2x from both sides )
x = 10
