A system of equations with an infinity number of solutions, along with y = x - 4, is formed with the following equation:
y - x = -4.
What are linear functions?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope.b is the y-intercept.The combination of two linear functions results in a system of equations.
Each intersection point of the linear functions is a solution to the system of equations, then a system with infinity solutions will only happen when the two lines are the same, that is, they have the same slope and the same intercept.
Hence the desired equation in this problem is given as follows:
y - x = -4.
Which in slope-intercept form is given by:
y = x - 4.
Which is equals to the graphed equation, hence they intersect infinite times.
More can be learned about linear functions at https://brainly.com/question/24808124
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Answer:
A) y - x = -4
Step-by-step explanation:
In ΔEFG, the measure of ∠G=90°, GE = 40 feet, and EF = 44 feet. Find the measure of ∠F to the nearest degree.
Answer:
42°
Step-by-step explanation:
It is always good to draw a picture to help you. In this case
tan F = 40/44
m∠F = arctan (40/44) = 42°
Cecilia has $780 in an account earning 5.2% simple interest. How much more interest would her account earn in 6 years with annually-compounded interest?
Answer:
$1057.3
Step-by-step explanation:
First we'll find the Interest no. 1, which is simple interest, assuming the time 1 year:
S.I= PRT/100
S.I= 780*5.2*1/100
S.I=$40.56
Now we'll find interest no.2, which is compound interest, time is 6 years, Principal amount (780) will remain the same as well as the rate thus (putting in the formula of compound interest- annual- [tex]A=P(1+\frac{R}{100} )^t[/tex]):
[tex]A= 780(1+\frac{5.2}{100})^6[/tex]
A= $1057.3
what is the product of 2xyz -3yz +4xz
The Amtrak Train is traveling at a constant speed and travels 12.5 miles in 5 minutes.
At that rate, how far does the train travel in 1 min?
Answer:
2.5 mi/min => 2.5 mi in 1 minute
Step-by-step explanation:
The unit rate (speed) is
12.5 mi
------------- = 2.5 mi/min
5 min
Use an area model to multiply (x+5)^2. Write your answer as a sum.
Not the link and if you dont answer, james charles will kiss you in the bed tonight.
All sides of ∆ABC are tangent to circle P.
What is the perimeter of triangle ABC?
Answer:
[tex]Perimeter =58[/tex]
Step-by-step explanation:
Given
[tex]AB = 24[/tex]
See attachment
Required
The perimeter of ABC
First, calculate the lengths of AC and BC.
From the attachment.
[tex]Ax = Az =10[/tex]
[tex]Cx = Cy = 5[/tex]
[tex]By =Bz[/tex]
So, we have:
[tex]AC = 10 + Cx[/tex]
[tex]AC = 10 + 5[/tex]
[tex]AC = 15[/tex]
Also:
[tex]Az + Bz = AB[/tex]
[tex]Az + Bz = 24[/tex]
Recall that: [tex]Ax = Az =10[/tex]
So:
[tex]10 + Bz = 24[/tex]
[tex]Bz = 24 - 10[/tex]
[tex]Bz = 14[/tex]
So, we have:
[tex]By = Bz = 14[/tex]
To calculate BC, we have:
[tex]BC = 5 + By[/tex]
[tex]BC=5+14[/tex]
[tex]BC = 19[/tex]
The perimeter is then calculated as:
[tex]Perimeter = AB + BC + AC[/tex]
[tex]Perimeter = 24 + 19 + 15[/tex]
[tex]Perimeter = 58[/tex]
Find the perimeter of a triangle with side lengths of 3x, x + 2, and x – 4.
Answer:
5x-2
Step-by-step explanation:
(3x)+(x+2)+(x-4)= 5x-2
help pleaseeee!!!!!!!!!!!
A square has an area of 200 square feet. How long is each side in simplest radical form? If I increase the length of each side by 2, what is the new area in simplest radical form?
Answer:
a) 14.14 feet
b) 260.5 square feet
Step-by-step explanation:
A square has an area of 200 square feet.
a) How long is each side in simplest radical form?
Area of a square = (side length)²
Side length = √Area
Side length = √200 square feet
= 14.142135624 feet
≈ 14.14 feet
b) If I increase the length of each side by 2, what is the new area in simplest radical form?
= 14.14 feet + 2
= 16.14 feet
New area = (16.14 feet)²
= 260.4996 square feet
Approximately = 260.5 square feet
2 (3m+6) what is the answer?
Answer:
hi
Step-by-step explanation:
2(3m+6)=2×3m+2×6=6m+12
have a nice day
A student takes ten exams during a semester and receives the following grades: 90, 85, 97, 76, 89, 58, 82, 102, 70, and 67. Find the five-number summary used in a boxplot. Which boxplot best represents the data?
a.
A box-and-whisker plot. The number line goes from 50 to 105. The whiskers range from 58 to 102 and the box ranges from 85 to 95. A line divides the box at 90.
b.
A box-and-whisker plot. The number line goes from 50 to 105. The whiskers range from 58 to 90 and the box ranges from 60 to 80. A line divides the box at 75.
c.
A box-and-whisker plot. The number line goes from 50 to 105. The whiskers range from 70 to 90 and the box ranges from 70 to 90. A line divides the box at 84.
d.
A box-and-whisker plot. The number line goes from 50 to 105. The whiskers range from 58 to 102 and the box ranges from 70 to 90. A line divides the box at 84.
Please select the best answer from the choices provided
A
B
C
D
Answer:
d
Step-by-step explanation:
Round each fraction to the nearest half and find the estimate. 2/6 + 1/6 one half 1 one and one half 2
Answer:
one half
Step-by-step explanation:
Given the expression
2/6 + 1/6
Find the LCM
[tex]= \dfrac{2+1}{6} \\= \dfrac{3}{6} \\= \dfrac{3*1}{3*2}\\= \dfrac{3}{3} * \dfrac{1}{2} \\= 1 * \dfrac{1}{2}\\= \dfrac{1}{2}[/tex]
Hence the required result is one half
how many hours and still elapsed from 0740 hrs to 1135 hrs.?
Answer:
3 hours and 55 minutes
Step-by-step explanation:
. An artist's studio has the shape shown below. What
is the area of the entire floor space?
20 ft
12 ft
6 ft
6 ft
14 ft
Answer: 120960 ft.
Step-by-step explanation:
Can Someone help me with this problem?
Answer:
6x + 6
Step-by-step explanation:
Perimeter is the total measurement of all the sides
16x + 12 = (6x + 14) + (4x - 8) + (?)
16x + 12 = 10x + 6 + ?
6x + 6 = ?
PLS HELP ME ITS MULTIPLE CHOICE
Answer:
8
Step-by-step explanation:
can i have brainliest
On January 1, one share of stock in the LMNOP Corp was worth $85. By
December, it lost 11.6% of its value. What is the new value of one share of LMNOP
stock?
Answer:
$75.14
Step-by-step explanation:
The new value of one share of LMNOP stock after 11.6% increment is $75.14
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is of "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
For this case, we are given that:
Initial price of the stock = $85/shareFinal price of the stock in December = initial price - 11.6% of initial price (since it lost 11.6% of its initial value, so decrement, which is denoted by subtraction).Now, the 11.6% of initial price is:
[tex]\dfrac{85}{100} \times 11.6 = \$9.86[/tex]
Thus, the final price of the stock in December = $85 - $9.86 = $75.14
Learn more about percent here:
https://brainly.com/question/11549320
Subtract -3k from -2k
Answer:
k
Step-by-step explanation:
-3k minus -3k
-2k-(-3k)
-2k+3k
k
Can someone help me please!!?? Eleven and seven-hundredths added to four and twenty-five hundredth the sum is
Answer:
[tex]15.32[/tex]
Step-by-step explanation:
Eleven and seven-hundredths [tex]=11+\frac{7}{100}[/tex]
(Here, [tex]\frac{1}{100}[/tex] denotes the hundredth)
Four and twenty-five hundredth [tex]=4+\frac{25}{100}[/tex]
Therefore,
Sum of Eleven and seven-hundredths added to four and twenty-five hundredth = [tex]11+\frac{7}{100}+4+\frac{25}{100}[/tex]
[tex]=15+\frac{32}{100}[/tex]
[tex]=15+0.32[/tex]
[tex]=15.32[/tex]
Given a function f(x)=|x+1|-|x -2|
How many solutions has f(x) = a, in respect of a?
If a E {-3, 3}, number of solutions is
if a E (-3, 3) number of solutions is
if a E (-infinity, -3) U (3,infinity) number of solutions is
Answer:
Step-by-step explanation:
[tex]f(x)=/x+1/-/x-2/\\a=/x+1/-/x-2/\\\text{square both sides}\\a^{2}={(x+1)}^{2}+{(x-2)}^{2}-2(x+1)(x-2)\\a^{2}=x^{2}+2x+1+x^{2}-4x+4-2x^{2}+2x+4\\a^{2}=9\\a=\sqrt{9}\\a=+3\text{ or }-3[/tex]
[tex]\text{if }a \in \{-3, 3\},\text{the number of solutions is 2}[/tex]
[tex]\text{if }a \in \{-\infty, -3\}\bigcup\{\infty, 3\},\text{it is just like saying from infinity to infinity, which is still 2}[/tex]
Answer:
a=(x+1)-(x-2)
=x-x+1+2
a=3
You are sailing your boat in the Chesapeake Bay to Thomas Point Lighthouse. You see a weather buoy, and you
discover that your boat, the buoy, and Thomas
Point form a right angle using your navigational skills.
What is the value of x?
- 20 km
- 8 km
- 12 km
- 17.3 km
Answer:
Answer of this question is 8km
******WORTH 75 POINTS****WILL MARK BRAINLIEST****PLEASE ANSWER ALL QUESTIONS***
A Drama Club is planning a grand opening musical for the new auditorium! It can hold up to 1000 people. They plan on charging $6 for a student ticket (x) and $10 for an adult ticket (y). If they need to make $3500 to cover all of their expenses, answer the following:
a) Write an inequality to represent the number of tickets
b) Write an inequality to represent the amount of money brought in
c) Give ONE combination of student and adult ticket sales that would satisfy both inequalities
d) Give ONE combination of student and adult ticket sales that would satisfy ONE, but NOT both inequalities
6 The floor of a tent is 7 feet by 9 feet. What is the area of the tent floor?
Pls help
Round 1.495485 to the nearest thousandth
Given ABC, what is the value of x?
NEED HELP QUICK!!
Answer:
x = 49
Step-by-step explanation:
AD is an angle bisector and divides the opposite side into segments that are proportional to the other 2 sides , that is
[tex]\frac{28}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 392 ( divide both sides by 8 )
x = 49
3. Bacteria can multiply at an alarming rate when each
bacteria splits into two new cells, doubling. If we start
with only 3 bacteria which can double every hour, how
many bacteria will we have by half the day?
Answer:
hmmm.
Step-by-step explanation:
times it by 12,000
like 12,000 being half a day
hahaha I dont know
Find the length and width of a rectangle with an area of 2x + x - 3.
A. l = 2x + 3; w = x + 1
B. l = 2x + 3; w = x - 1
C. l = 3x + 2; w = x - 1
Answer:
the answer would be B: l = 2x + 3; w = x - 1
4(m-9)=2(2m+1)-40
What is the answer
Answer: i think that's right if not than t don't have a solution
Step-by-step explanation:4(m−9)=2(2m+1)−40
(4)(m)+(4)(−9)=(2)(2m)+(2)(1)+−40(Distribute)
4m+−36=4m+2+−40
4m−36=(4m)+(2+−40)(Combine Like Terms)
4m−36=4m+−38
4m−36=4m−38
Step 2: Subtract 4m from both sides.
4m−36−4m=4m−38−4m
−36=−38
Step 3: Add 36 to both sides.
−36+36=−38+36
0=−2
I’ll give you Brainly est
Answer:
Step-by-step explanation:
A ton is 2000 lbs -> w = 2000
Weight in an elevator must be less than 2000 -> w<2000
The pool must hold atleast 2000 lbs w >= 2000 (>= is greater than equal to)
The scale...... -> w<= 2000
My car weighs more than 2000 -> w > 2000
Answer:
1.w<2000
2.w=2000
3.w> or =2000
4.w< or =2000
5.w>2000
Step-by-step explanation:
Please i need help with this one
Answer:
center: (1,4)
radius=3