Answer:
Infinite Solutions
Step-by-step explanation:
3x-7=3x(x-3)+2
3x-7=3x-9+2 - Distributive Property
3x-7=3x-7 - adding the right side together
Which system of inequalities is shown?
A y<x y>4 B y>x y
Given:
The graph of the system of inequalities.
To find:
The system of inequalities.
Solution:
In the given graph, we have two dotted boundary lines.
First boundary line is passes through (-1,1), (0,0) and (1,1), so it represents a proportional relationship and the equation of this boundary line is
[tex]y=x[/tex]
Second boundary line is a horizontal line passes through the point (0,4). So, the equation of this boundary line is
[tex]y=4[/tex]
Shaded portion lies below these boundary line and these boundary lines are dotted. So, the sign of inequity must be <.
The system of inequalities is
[tex]y<x[/tex]
[tex]y<4[/tex]
Therefore, the correct option is D.
The cube root of r varies inversely with the square of s. Which two equations model this relationship?
Step-by-step explanation:
³√r =(k×1/s²)
³√r = k/s²
The equation given in the option which shows the relationship given in the question is ∛r = k/s²and [tex]\rm s^2 r^{1/3} = k[/tex], the correct options are B and C.
What is Inverse Variation?When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.
The statement for modelling the relation is
The cube root of r varies inversely with the square of s.
∛r ∝ (1/s²)
∛r = k/s²
Here k is the proportionality constant
The equations which model this relationship is given by ∛r = k/s²and [tex]\rm s^2 r^{1/3} = k[/tex].
To know more about Inverse Variation
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A speed skater skates 1.5 km in 78 s. What is her speed in km/h? Round to the nearest
Answer:
Step-by-step explanation:
Speed=Distance/Time
1.5/78=0.01923076923
Answer rounded=0.02/0.019
Sarah deposited $450 into an account that paid 2.1% in simple interest per year. If she made no additional deposits or withdrawals, how much interest did she earn after 5 year?
A $47.25
B $378.00
C $497.25
D $4.75
Answer:
B
Step-by-step explanation:
Fractions closer to 1 than to 0
Answer:
Fractions that are above 1/2 or 0.5
Step-by-step explanation:
Complete the function table.
Function: f(x) = 6x + 1
х
f(x)
4
31
6
43
ASAP
A 2-kilogram bag of birdseed costs $8.54. What is the unit price?
Answer:
$8.54÷2 kg = $4.27 for 1 kg of birdseed
Your dinner costs $21.50 before tax. If you used a fifteen percent off coupon
and then you are charged seven percent sales tax, what is your balance with tax?
Answer:
$19.55
Step-by-step explanation:
Discount = 15% of 21.50
= 0.15 * 21.50
= 3.225
= $ 3.23
Balance need pay = 21.50 - 3.23 = $ 18.27
Tax = 7% of 18.27
= 0.07 * 18.27
= $1.28
Balance with tax = 18.27 + 1.28 = $ 19.55
Is anyone else’s Brainly not loading the video for them?? If you had this problem before please help me.
Answer:
I’m having this problem right now and don’t know how to fix it
Step-by-step explanation:
Lucas bought square tiles to retile the
lobby of Town Travel Agency. Each
side of a tile is 11 inches long. If Lucas
uses the formula for the area of a
square, A = s2, how many square
inches will each tile cover?
00 ft.?
Answer:
121 in² ; 0.840 ft²
Step-by-step explanation:
Given that:
Side length of square tile, s = 11 inches
The Area of a square = a² ;
Where a = side length
Hence, we Can get the area of the square tile using the area of square formula :
Area of square tile = 11² = 121 in²
Area in feets :
1 ft² = 144 in²
x = 121 in²
144 x = 121
x = 121 / 144
x = 0.840 ft²
Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??
$68
Add 38 with 42 then subtract by 12 to find the total sum.
$38+$42=$80
$80-12=$68
Total: $68.
If x=9 and y=−3, evaluate the following expression:20−5y+2x
Answer:
53
Step-by-step explanation:
20-5y+2x
20-5(-3)+2(9)
20--15+18
cancel out the negative signs
20+15+18
=53
Answer:
The answer is 53.
Explanation:
x = 9
y = -3
[tex]20 - 5y + 2x \\ 20 - 5( - 3) + 2(9) \\ 20 + 15 + 18 \\ 35 + 18 \\ 53[/tex]
Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23
Answer:
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Step-by-step explanation:
We need to find the value of x if A, B, and C are collinear points and B is between A and C.
We have AB=6x,BC=x−5,AC=23
If points are collinear and B is between A and C we can write:
AC=AB+BC
Putting values and finding value of x
[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]
The value of x = 4 if A, B, and C are collinear points and B is between A and C.
Please help me! Please!!!!
Answer:
(2)
Step-by-step explanation:
exponential. Additional info: usually this function has a coordinate (0;y) and it is a curve.
Polygon ABCD has the following vertices:
Al-5, 4), B(1,4), C(6,-4), and D(-5, -4)
Calculate the area of the polygon.
a.48 units squared
b. 53 units squared
c. 68 units squared
d. 88 units squared
Step-by-step explanation:
By the Shoelace method,
Area of quadrilateral = 0.5|(-5)(4) + (1)(-4) + (6)(-4) + (-5)(4) - (1)(4) - (6)(4) - (-5)(-4) - (-5)(-4)|
= 0.5|(-20 - 4 - 24 - 20 - 4 - 24 - 20 - 20)|
= 0.5|(-136)|
= 0.5 * 136 = 68 units squared. (C)
Answer:
68 units squared C
Step-by-step explanation:
I took the test and I got a 100% with this answer.
(8,5); perpendicular to 2x - y = 7
Answer:
brainliest plzzz
Step-by-step explanation:
2x - y = 7 is in standard form, and if it were slope-intercept form that would help you. I got the y term by itself:
y = 2x - 7 slope-intercept form. You already know the slope of the perpendicular line is the *negative reciprocal* of the slope you have. So that's (-1/2). The perpendicular line is something like
y = -(1/2)x + b and if you substitute 8 for x and 5 for y you get 9 for b.
y = -(1/2)x + 9 is your perpendicular line. In slope-intercept form. To get back to standard form, start by getting rid of fractions. Multiply both sides by 2.
2y = -x + 18 then add x to both sides.
x + 2y = 18 done.
What is the same product of 3x2/6?
Answer:
6/6=1
Step-by-step explanation:
3x2 is 6
so then 6/6 would equal 1
Answer:
= 1
Step-by-step explanation:
(3*2)/6 = 1
IF YOU STILL DONT KNOW
( 3 times 2 ) divde 6
6 divde 6 = 1
what is the answer to -3.4 - 1.6?
Answer:
-5
Step-by-step explanation:
-3.4 - 1.6 = -5
Plz help me I need this
Answer:
D. 20 cm²
Step-by-step explanation:
The second object is 2 times bigger than the first object. To solve this, take the original area and multiply it by 2:
10 · 2 = 20
Therefore, the second object has an area of 20 cm².
Based on the table, which city has the highest temperature in January?
City January
Temperature (°C)
New Orleans 7
Philadelphia -4
Phoenix 8
Rochester -8
San Antonio 5
A.
New Orleans
B.
Philadelphia
C.
Phoenix
D.
Rochester
E.
San Antonio
Answer:it’s Phoenix
Step-by-step explanation:
Answer:
C.
Step-by-step explanation:
I GIVEEE BRAINL,ILSTTT
Answer:
D
Step-by-step explanation:
add both the car and college payments together and divide by 1200 then multiply by 100 to get the pergecntage.
Answer:
it is d of course
Step-by-step explanation:
19 = -23+ 6(2 - p)
Can someone please help me?!?!
Step-by-step explanation:
19 = -23+ 6(2 - p)
19=-23+12-6p
19=-11-6p
6p=-11-19
6p=-30
p= -5
Answer:Solve for p
by simplifying both sides of the equation, then isolating the variable.
Step-by-step explanation: exact form: p= 2/3
decimal form p= 0.6
Assign a probability to the following event, and give the method used to assign it: What is the probability that a randomly selected day of the week will be a Friday
Answer:
[tex]\frac{1}{7}[/tex]
Step-by-step explanation:
We know, that probability of an event E, is [tex]\textrm{P}(\textrm{E})=\frac{\textrm{Number of favorable outcomes}}{\textrm{Total number of outcomes}}[/tex].
Here, there are [tex]7[/tex] days in a week.
So, total number of outcomes [tex]=7[/tex].
And only one day, that is, Friday is selected.
So, number of favorable outcomes [tex]=1[/tex].
Therefore, probability [tex]=\frac{1}{7}[/tex].
Hence, the probability that a randomly selected day of the week will be a Friday [tex]=\frac{1}{7}[/tex].
No rush but please help
Answer:
C. .
Irrational numbers are those, which are non-recurring and non-terminating.
I hope it will be useful.
Answer:
C
Step-by-step explanation:
need help asap!!!
Write and solve an equation for each situation. Be sure to define your variable.
Herman rents a bike for a set fee of $5 and a rate of $3 an hour. Jan rents a bike for $17. How many hours did she rent a bike for?
Jayson has 97 tickets to give away. He gave 4 tickets to each student in his class and has one leftover.
How many students in his class?
Answer:
4 ; 24
Step-by-step explanation:
A.)
Fixed fee, x = $5
Hourly rate, y = $3
Total rent fee, t= $17
Number of rent hours :
$17 = $5 + $3y
17 - 5 = 3y
12 = 3y
y = 12/3
y = 4 hours
B.)
Total Number of tickets , t = 97
Tickets per student, r = 4
Tickets left = 1
Number of students in class:
(97 - 1) / 4
96 /4
= 24 students
Dan was thinking of a number. Dan divides by 5, then adds 3 to get an answer of 3. What was
the original number?
Answer:
The original number was: x = 0
Step-by-step explanation:
Let 'x' be the number
Given that:
Dan first divides it by 5
x/5
Then adds 3
x/5 + 3
To get an answer of 3
x/5 + 3 = 3
now solving the expression
[tex]\frac{x}{5}+3=3[/tex]
Subtract 3 from both sides
[tex]\frac{x}{5}+3-3=3-3[/tex]
Simplify
[tex]\frac{x}{5}=0[/tex]
Multiply both sides by 5
[tex]\frac{5x}{5}=0\cdot \:5[/tex]
Simplify
[tex]x=0[/tex]
Therefore, the original number was: x = 0
For the system of equations that follows, use Gaussian elimination to obtain an equivalent system whose coefficient matrix is in row echelon form. Indicate whether the system is consistent. If the system is consistent and involves no free variables, use back substitution to find the unique solution. If the system is consistent and there are free variables, transform it to reduced row echelon form and find all solutions.
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Answer:
[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Step-by-step explanation:
From the question we are told that
System of equations given as
x₁ + 3x₂ + x₃ + x₄ = 3;
2x₁ - 2x₂ + x₃ + 2x₄ = 8;
x₁ - 5x₂ + x₄ = 5
Matrix form
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex] [tex]\begin{Vmatrix}x_1\\x_2\\x_3\\x_4\end{Vmatrix}[/tex]
Generally the echelon reduction is mathematically applied as
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\2 & -2 & 1&2&8\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Add -2 times the 1st row to the 2nd row
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & -8 & -1&0&2\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Multiply the 2nd row by -1/8
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&1 & -5 & 1& 5\end{Vmatrix}[/tex]
Add -1 times the 2nd row to the 3rd row
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & -41/8 & 1& 21/4\end{Vmatrix}[/tex]
Multiply the 3rd row by -8/41
[tex]\begin{Vmatrix}1 & 3 & 1&1&3\\0 & 1 & 1/8&0&-1/4\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Add -1/8 times the 3rd row to the 2nd row
Add -1 times the 3rd row to the 1st row
[tex]\begin{Vmatrix}1 & 3 & 0&49/41&165/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
Add -3 times the 2nd row to the 1st row
[tex]\begin{Vmatrix}1 & 0 & 0& 46/41 &180/41\\0 & 1 & 0&1/41 &-5/41\\0&0 & 1 & -8/41& -42/41\end{Vmatrix}[/tex]
If p and q are integers, then this problem is true: -( -p/-q) True or False?
♡Answer:♡
I think true not sure..
♡Step-by-step explanation:♡
♡ ∩_∩
（„• ֊ •„)♡
┏━∪∪━━━━┓
♡ good luck 。 ♡
┗━━━━━━━┛
In the coordinate plane, which of the following functions dilates by a factor of 3
about the point (9, 6)?
A. (, ) = (3 + 9, 3 +6)
B. (, ) = (3( + 9), 3( + 6))
C. (, ) = (9+ 3( − 9), 6 + 3( −6))
D. (, ) = (9+ 3(9− ), 6+ 3(6 − ))
Answer: the answer is D
Step-by-step explanation:I had that question on a quiz
The points after dilation is (27, 18).
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Enlargements are dilations that result in a larger image. Reduction is the name for a dilatation that shrinks the image. The initial figure is stretched or contracted by a dilatation.
Given:
Scale Factor= 3
Points (9, 6).
If the coordinates is dilated by factor 3.
Then, (9, 6).
= (9(3), 6(3)).
= (27, 18)
Hence, the points after dilation is (27, 18).
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Scarlett can make 7 cupcakes (the y value) with one cup of flour (the x value). How many cupcakes can she make with 9 cups of flour?
Answer:
63=x*y
Step-by-step explanation:*
y = 7 x=1. so 9 will muiltiply 7 until there is 9 7s then you got the answer
