The system of linear equations with infinite solutions is:
2y = x - 8 and y = (1/2)*x - 4
Which two linear equations make a system with infinite solutions?A system of linear equations :
y = ax + b
y = cx + d
Has infinite solutions if and only if both equations represent the same line (then the lines intercept at infinite points)
The equations given are:
y = 2x + 7
2x + y = -7
y = (1/2)x - 4
y = -2x + 7
2y - x = -8
If we take the last one:
2y - x = -8
We can rewrite this as:
2y = x - 8
y = (1/2)*x - (1/2)*8
y = (1/2)*x - 4
That is other of the equations no the list, so the system with infinite solutions is:
2y = x - 8 and y = (1/2)*x - 4
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what type of object around in locality
Objects commonly found in a locality include residential buildings, commercial establishments, public facilities, transportation infrastructure, landmarks, natural features, utilities, street furniture, and vehicles.
The type of objects that can be found in a locality can vary greatly depending on the specific location and its surroundings. Here are some common types of objects that can be found in a locality:
Residential Buildings: Houses, apartments, condominiums, and other types of residential structures are commonly found in localities where people live.
Commercial Establishments: Localities often have various types of commercial establishments such as stores, shops, restaurants, cafes, banks, offices, and shopping centers.
Public Facilities: Localities typically have public facilities such as schools, libraries, hospitals, community centers, parks, playgrounds, and sports facilities.
Transportation Infrastructure: Localities usually have roads, sidewalks, bridges, and public transportation systems like bus stops or train stations.
Landmarks and Monuments: Some localities may have landmarks, historical sites, monuments, or cultural attractions that represent the area's heritage or significance.
Natural Features: Depending on the locality's geographical characteristics, natural features like parks, lakes, rivers, mountains, forests, or beaches can be present.
Utilities: Localities have infrastructure for utilities such as water supply systems, electrical grids, sewage systems, and telecommunications networks.
Street Furniture: Localities often have street furniture like benches, streetlights, waste bins, traffic signs, and public art installations.
Vehicles: Various types of vehicles can be found in a locality, including cars, bicycles, motorcycles, buses, trucks, and possibly other modes of transportation.
It's important to note that the objects present in a locality can significantly differ based on factors such as urban or rural setting, cultural context, economic development, and geographical location.
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6(3x+12-4x)=2x+2+3x solve for x
Answer:
its 70/11 or 6.36
Step-by-step explanation:
What is the slope of the line?
Answer:
y= 3/7x− 3/26
Step-by-step explanation:
I'm sorry about their answers... anyways, the answer is 3/3.
ASAP NEDDDD HELPPPPPP
By translation, the image of the triangle X is equivalent to the triangle E.
How to determine the image of a figure by rigid transformations
Herein we find the representation of a triangle, whose vertices are described below:
A(x, y) = (5, 5), B(x, y) = (5, 6), C(x, y) = (7, 5)
Whose image must be determined by a rigid transformation known as translation:
P'(x, y) = P(x, y) + T(x, y)
Where:
P(x, y) - Original point.P'(x, y) - Image of the point.T(x, y) - Translation vector.Now we proceed to determine the images of the vertices of the triangle:
A'(x, y) = (5, 5) + (4, - 3)
A'(x, y) = (9, 2)
B'(x, y) = (5, 6) + (4, - 3)
B'(x, y) = (9, 3)
C'(x, y) = (7, 5) + (4, - 3)
C'(x, y) = (11, 2)
Therefore, the triangle E is the image of the triangle X.
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Help me please
-3x+5(x+2)=4x-(3x+5)
THANK YOU!!!!
Answer:
x=-15
Step-by-step explanation:
-3x+5(x+2)=4x-(3x+5)
<=>-3x+5x+10=4x-3x-5
<=>-3x+3x+5x-4x=-10-5
<=>x=-15
Answer:
x=-15/7
Step-by-step explanation:
combine like terms
3x +5x +10=4x-4x+5
distribute
8x+10=4x-3x-5
combine like terms
8x+10=1x-5
subtract 10 from both sides
8x=x-15
subtract x from both sides
8x-x=x-15-x
combine like terms
7x-15
divide both by 7
7x-15
7. 7
x=15
7
Simon is trying to figure out how much it will cost to buy 30 cases of water for a school picnic. How much will Simon pay for 30 cases of water?
Water Prices by the Case
Number of cases
Price in dollars
15 66.00
20 88.00
35 154.00
1. $99.00
2. $119.00
3. $121.00
4. $132.00
which one is right
PS this is for my little sis
Answer:
D;132.00
Please Mark me the Brainleist.
Write in slope form : -5x+15y=-30
Answer:
hope this helps
Step-by-step explanation:
y=1/3x-2 is the slope form of -5x+15y=-30.
What is straight line?a line is an infinitely long object with no width, depth, or curvature.
The given equation is -5x+15y=-30
minus five x plus fifteen y equal to minus thirty.
The standard form or slope form of a line is
y=mx+c
Where m is the slope and c is y intercept.
We need to convert -5x+15y=-30 to standard form or slope intercept form of a line.
-5x+15y=-30
15y=-30+5x
15y=5x-30
Divide both sides by 15
y=5/15 x-30/15
y=1/3x-2
Hence y=1/3x-2 is the slope form of -5x+15y=-30.
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Can anyone tell me what 2 1/3 as a improper fraction?
Thank you if you can
Answer:
2 1/3 as an improper fraction is 7/3
Answer:
\(\frac{7}{3}\)
Step-by-step explanation:
\(2\frac{1}{3}=\frac{(2*3)+1}{3}\\\\\\ =\frac{6+1}{3}\\\\=\frac{7}{3}\)
The original price of a bottle
of dish soap is $2. How much
will Sasha PAY if she buys it
during the sale when it is 50%
off?
Answer:
$1
Step-by-step explanation:
i hope i read it right
Answer:
1
Step-by-step explanation:
cuz half of 2 is 1
A triangle has vertices at L(2, 2), M(4,4), and N(1,6).
The triangle is transformed according to the rule Ro.
Which statements are true regarding the
transformation? Select three options.
180
The rule for the transformation is (x, y) (-X, -y).
The coordinates of L'are (-2,-2).
The coordinates of Mare (-4,4).
The coordinates of N' are (6,-1).
The coordinates of N'are (-1,-6).
Answer:
The rule for the transformation is (x, y) (-x, -y).
The coordinates of L'are (-2,-2).
The coordinates of N'are (-1,-6).
Step-by-step explanation:
Given
\(L = (2,2)\)
\(M = (4,4)\)
\(N = (1,6)\)
\(Ro=180\)
Required
Select three options
The rule to this is:
\((x,y) \to (-x,-y)\)
So, we have:
\(L = (2,2)\)
\(L' =(-2,-2)\)
\(M = (4,4)\)
\(M =(-4,-4)\)
\(N = (1,6)\)
\(N' = (-1,-6)\)
Each vertical cross-section of the triangular prism shown below is an isosceles triangle.
ih
8
What is the height, h, of the triangular prism?
Round your answer to the nearest tenth.
Answer:
x = 3 unitsStep-by-step explanation:
use Pythagorean theorem:
a² + b² = c²
where a = h
b = 8/2 = 4
c = 5
plugin values into the formula:
h² + 4² = 5²
h² = 5² - 4²
x = √9
x = 3
2. The sales tax rate is 10%. If Anna buys a fancy watch priced at $88, what 1 poinwill be the total cost including tax?8.8096.8097.77880
Use the formula below to find the total cost including tax.
\(\text{Total cost = 10\% of the original cost + original cost}\)Original cost = $88
\(\begin{gathered} \text{Tax = 10\% of original cost} \\ =\text{ }\frac{10}{100}\text{ }\times\text{ \$88} \\ =\text{ }\frac{880}{100} \\ =\text{ \$8.8} \end{gathered}\)Total cost = Tax + original cost
= $8.8 + &88
= $96.8
Final ans
Let f(x) = 4^x Evaluate the following:
The value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = \(4^{x}\).
According to the question,
We have the following information:
f(x) = \(4^{x}\)
Now, we will first find the values of f(-1) and f(3) and then we will put these values into the given operation in order to find its value.
f(-1) = \(4^{-1}\)
Now, we will inverse this operation to have positive exponents:
f(-1) = 1/4
f(3) = \(4^{3}\)
f(3) = 4*4*4
f(3) = 64
Now, we have f(-1)-f(3) in the numerator. So, we will solve this first:
1/4 - 64
(1-256)/4
-255/4
Now, putting all these values in the indicated operation:
(-255/4)/(-1-3)
(-255/4)-4
255/(4*4)
255/16
Hence, the value of {f(-1)-f(3)}/(-1-3) is 255/16 when f(x) = \(4^{x}\).
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Malia spent one hour and 27 minutes working on her homework how many minutes did Malia spend working on her homework
Answer:
87
Step-by-step explanation:
60+27=87
4/5 + 1/3 simplified
Answer:
17/15
Step-by-step explanation:
Solve the system of equations y= x squared + 3x-6 and y=2x-6
Answer:
Slope = 4.000/2.000 = 2.000
x-intercept = 6/2 = 3
y-intercept = -6/1 = -6.00000
Step-by-step explanation:
Step by step solution :
Step 1 : Equation of a Straight Line
Graph of a Straight Line
Calculate the Y-Intercept
Calculate the X-Intercept
Calculate the Slope
Answer for y=2x-6 is below
Answer:
Slope = 4.000/2.000 = 2.000
x-intercept = 6/2 = 3
y-intercept = -6/1 = -6.00000
Hope this helps.
Write the equation of a line in point slope form that passes through (-1, 4), and is perpendicular to y = -4x +3
Answer:
y = 1/4x + 17/4
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Perpendicular lines have the negative reciprocal slope.
m = 1/4
y = 1/4x + b
4 = 1/4(-1) + b
4 = -1/4 + b
17/4 = b
y = 1/4x + 17/4
identify the vertex, axis of symmetry, maximum or minimum for each of the following quadratic equations
Answer: see below
Step-by-step explanation:
The vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch (positive = min [U], negative = max [∩])(h, k) is the vertexAxis of Symmetry is always: x = hDomain is always: x = All Real NumbersRange is y ≥ k when "a" is positive or y ≤ k when "a" is negative6) y = 3(x - 1)² + 0
↓ ↓ ↓
a= + h= 1 k= 0
Vertex: (h, k) = (1, 0)
Axis of Symmetry: x = h → x = 1
Max/Min: "a" is positive → minimum
Domain: x = All Real Numbers
Range: y ≥ k → y ≥ 0
7) y = -1/2(x + 6)² - 7
↓ ↓ ↓
a= - h= -6 k= -7
Vertex: (h, k) = (-6, -7)
Axis of Symmetry: x = h → x = -6
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -7
8) y = -(x - 0)² - 3
↓ ↓ ↓
a= - h= 0 k= -3
Vertex: (h, k) = (0, -3)
Axis of Symmetry: x = h → x = 0
Max/Min: "a" is negative → maximum
Domain: x = All Real Numbers
Range: y ≤ k → y ≤ -3
check it please and tell me
Michel is taking 4 credit hours of courses at his local community college. Each credit hour costs $110.50. He is also to pay three technology fees of $19.25. Determine the total amount that he will pay in tuition.
Total: 499.75
Step-by-step explanation:
4 × 110.5 = 442
3 × 19.25 = 57.75
442 + 57.75 = 499.75
Jimmy's lunch box in the shape of a half cylinder on a rectangular box.
Find the total volume of metal needed to manufacture it
Answer:10cm 5cm 7 Jim's lunch box is in the shape of a half cylinder on a rectangular box. To the nearest whole unit, what is a The total volume it contains? b The total area of the sheet metal in 10 in needed to manufacture it? This problem has been solved! You'll get a detailed solution from a subject matter expert that helps you learn core concepts
Step-by-step explanation:
The pH scale measures how acidic or basic a substance is. Lemon juice is said to have a pH of less than 4 and greater than 1.5. Model the normal range of pH values of lemon juice, using a compound inequality.
1.5 > x > 4
1.5 < x < 4
1.5 ≤ x ≤ 4
1.5 ≥ x ≥ 4
The normal range using a compound inequality is 1.5 < x < 4
How to model the normal range using a compound inequality.From the question, we have the following parameters that can be used in our computation:
pH values less than 4
pH values greater than 1.5
Represent the pH values with x
Using the above as a guide, we have the following:
x is less than 4
x is greater than 1.5
When represented as inequality, we have
x < 4 and x > 1.5
Combine the inequalities
1.5 < x < 4
Hence, the normal range is 1.5 < x < 4
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when renting out joes warehouse for an event, the cost per person is $18 and renting the tables cost exactly $40. The total cost of renting the warehouse is represented by the equation y=18x+40. what is the total cost for 150 people?
Answer:
y=$2740
Step-by-step explanation:
y=18(150)+40
y=$2740
Zach is helping his dad tile a shower wall. He has enough tiles to cover an area of 42 square feet. The shower wall is 8 feet high and 4 feet wide. Do they have enough tiles to cover the area?
Given:-
Zach is helping his dad tile a shower wall. He has enough tiles to cover an area of 42 square feet. The shower wall is 8 feet high and 4 feet wide.
To find:-
Do they have enough tiles to cover the area.
Since the height is 8 feet and wide is 4 feet, it is a rectangle.
So the formula to calculate area is,
\(A=l\times b\)So now we substitute the value. so we get,
\(\begin{gathered} A=8\times4 \\ A=32 \end{gathered}\)So the area is 32 square feet.
But zach has 42 square feet. So they have enough tiles could cover the area.
Can someone please help me find the equation of the parallel line I will mark u the brainiest
9514 1404 393
Answer:
y = 1/4x -3/2
Step-by-step explanation:
The "run" (horizontal distance) between the two marked points is 6-(-2)=8.
The "rise" (vertical distance) between the two marked points is 1 -(-1) = 2.
The slope of the line shown is ...
m = rise/run = 2/8 = 1/4
A parallel line will have the same slope.
__
The y-intercept of the desired line can be found from ...
b = y -mx
For point (2, -1) and slope 1/4, the y-intercept will be ...
b = -1 -1/4(2) = -3/2
Then the equation of the parallel line is ...
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 1/4x -3/2
plss help i beg you!
Answer:
n = 7, x = 9Step-by-step explanation:
The top and bottom segments have same length.
a)
n + n + 19 = 332n + 19 = 332n = 33 - 192n = 14n = 14/2n = 7b)
x + x + x + 3 = 303x = 30 - 33x = 27x = 27/3x = 96 + 4 x 3 +7}
Pls helpppp
Answer:
25
Step-by-step explanation:
none
Answer:
6+4×3+7=37
Step-by-step explanation:
6+4= 10
3x10=30
30+7=37
Solve for s in terms of q,r,and t. r=s+q-t
Simply. Rewrite the expression in the form x^n. x^6/x^8
Answer:
x⁻²
Step-by-step explanation:
\(\frac{x^6}{x^8} = \frac{1}{x^2} = x^-^2\)
In the form of xⁿ , the expression is x⁻²
What is an Expression ?An expression is a mathematical statement which consist of variables , constants and mathematical operators.
The expression given is
\(\rm \dfrac{x^6}{x^8}\)
By the exponent rule
\(\rm \dfrac{a^m}{a^n} = a^{m-n}\)
so,
\(\rm x^{6-8}\\x^{-2}\)
Therefore in the form of xⁿ , the expression is x⁻² .
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A plastic bin contains red, yellow, and green key chains. Out of 350 key chains, 10% are yellow. Of the remaining key chains, 3/5 are green. How many red key chains are inside the bin?
John ate 1/3 of a pizza, then ate another 1/2 of a pizza. What fraction of a pizza did Jon eat all together?
Answer:
He ate 1/6 of the pizza all together