Consider the system of equations.
y = 4x + 2
y=-2x + 6
Part A
Graph the equations. Estimate the solution of the system of equations.
Estimated solution:
Part B
Solve the system algebraically,
Show your work
I need help like I get it at some points and some at nun
this is the graph for y =4x+2
If sally had 5 apples and Sam took 3 how many apples are left
Answer:
2 apples are left
Step-by-step explanation:
Please help with the proportions word problem!!
Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.
Answer:
30%
Step-by-step explanation:
the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80
6th grader here sorry if wrong
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Image shows a polygon that looks like a rectangle with a triangle attach to the lower right side of it. The polygon has 5 sides. The left side is 5 inches tall. The bottom side is perpendicular to the left side and is 12 inches. The top is perpendicular to the left side also and is 7 inches tall. On the right side, a side is perpendicular to the top side and is 3 inches long. It looks like it stops almost midway on the right side. Then finally the last side attaches the 3 inches segment to the bottom side. This slant side is not labeled.
Answer:
The Answer Is 240in^3
Step-by-step explanation:
I Took The Test And Got It Right.
The Volume of the fish tank is 240 in³.
The correct option is (D).
What is the volume of plane shapes?The volume of a flat shape resembles a three-dimensional representation of the shape's boundary.
Given:
The figure can be differentiated into two shapes;
A rectangleA triangleThe volume of the rectangle is known as:
= Length × Breadth
= 7 inches × 5 inches
= 35 inches²
The volume of the triangle is:
= 1/2 × base × height
= 1/2 × 2 × 5
= 5 inches²
The total volume of the base of the fish tank now is:
= 35 inches² + 5 inches²
= 40 inches²
Now, the volume of the fish tank is:
= Height × base of the fish tank
= 6 inches × 40 inches²
= 240 in³
Learn more about the volume of plane shapes here:
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A square piece of glass has sides that are 7 centimeters long. What is the piece of glass's area?
49cm^2
All lengths are equal in a square
A= b x h
= 7 x 7
=49
Hope this helps!
PLEEEEEAAAASEEE HELPPPPPP
simplify the polynomial
3a(6a^2-4ab^2)+8a^2b^2-2b^3
Answer:
Simplified: -4a²b²+18a³-2b³
3a(6a²-4ab²)+8a²b²-2b³
Multiply 3a by 6a² and-4ab²
18a³-12a²b²+8a²b²-2b³
combine like terms (-12a²b² and 8a²b²)
-4a²b²+18a³-2b³
Hope this helps
Step-by-step explanation:
Here we have to simplify the polynomial :
[tex] \\ \longrightarrow \sf \qquad3a(6a^2-4ab^2)+8a^2b^2-2b^3\\ \\[/tex]
Using Distributive property we get :
[tex]\longrightarrow \sf \qquad18a^3- {12}^{2} b^2+8a^2b^2-2b^3\\ \\[/tex]
Combining the like terms we get :
[tex]\longrightarrow \sf \qquad18a^3-4a^2b^2-2b^3\\ \\[/tex]
Therefore,
The Simplified expression is [tex] \sf 18^3-4a^2b^2-2b^3[/tex]Use the diagram below to answer the
following questions.
2x - 1
x + 7
B
X-4
What is the value of x?
X =
=
What is the perimeter of triangle ABC?
The perimeter is
units.
Answer:
34
Step-by-step explanation:
Since this an isosceles triangle we can say the length of AB = AC
2x - 1 = x + 7
2x - x = 7 + 1
x = 8
The perimeter is calculated by adding all side lengths
2x - 1 + x + 7 + x - 4 = Area add like terms
4x + 2 = Area replace x with the value we found
4*8+2 = 34 units square
Gloria is an artist. She sets a goal to paint 2 pieces every month. She has already painted 5 pieces. The number of pieces that Gloria will paint will depend on how many months for which she paints. Which statements describe the total number of pieces "p" Gloria will have painted after "t" months, if she meets her goal? Select all the statements that are true.
Answer:
O The independent variable is T and P is the dependent variable
O The P increases by 2 as T increases by 1
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Answer:
What is the length of a rectangle if the width is
10 centimeters and the diagonal is 16 centimeters?
Step-by-step explanation:
Please help me con la resolución porfa
Answer:
2,591 esta bien la respuesta
solve major part of my grade <33
0 3 6 9 12 15 18
(each tick mark = +3)
Please help me !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer: A is (arithmetic sequence)
and D is 1 2 3 4 5 6 7
Unfortunately, I only know the answer to those two.
Sorry.
No trolls or links or i will report
Answer:
92.4 ft²Step-by-step explanation:
Total surface area comprises one rectangular base and two pairs of diferent triangles.
Area of rectangle
A = lwArea of triangle
A = 1/2bhSubstitute and find
A = 7*4 + 2(1/2*4*6.3) + 2(1/2*7*5.6) = 92.4 ft²Area of base rectangle
7(4)28ft²Area of rest triangles
2(1/2BH)+2(1/2bh)BH+bh4(6.3)+7(5.6)64.56ft²Now
TSA
64.56+2892.56ft²Solve for x………………………..
Answer:
85
Step-by-step explanation:
a² + b² = c²
13² + 84² = x²
x = 85
The maximum weight for the elevator is 599 pounds. Write an inequality that shows the weight.w. it can hold.
Answer:
599>w
Step-by-step explanation:
Since the max was 599 we need to show that the weight or w has to be less than 599
Answer:
599 ≥ w
Step-by-step explanation:
The other person is wrong
It can hold 599 pounds, and anything less than that, so we use this symbol
Determine co-ordinates of the mid point of a line segment with endpoints at: L(12,8) and M(18,2)
Step-by-step explanation:
the formula for the mid point is:
{(x1 + x2)/2 , (y1 + y2)/2}
so using the formula we get:
(15, 5)
also are you sure that the question wants the midpoint? since the answer is not included in the choices
Answer:
C(15,3)
Step-by-step explanation:
Midpoint = [tex]\frac{x_{1}+x_{2} }{2}, \frac{y_{1}+y_{2} }{2}[/tex]
= [tex]\frac{12_{}+18_{} }{2}, \frac{8_{}+2_{} }{2}[/tex]
= 15,5 (which is closest to C, i think there is a mistake in the question as there is only one formula to find midpoint so y coordinate has to be 5)
algebra elimination- 13x+8y=-2 and 2x+y=-1
Answer:
x=-6/29
y=-17/29
Step-by-step explanation:
we have the system of equations
-13x+8y=-2 ------> equation 1
2x+y=-1 ------> equation 2
Solve by elimination
step 1
Multiply equation 2 by -8 on both sides
-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3
step 2
Adds equation 1 and equation 3
-13x+8y=-2
-16x-8y=8
-----------------
-29x=6
x=-6/29
Find out the value of y
substitute the value of x in any equation
2x+y=-1
2(-6/29)+y=-1
-12/29+y=-1
y=-1+(12/29)
y=-17/29
therefore
The answer is
x=-6/29
y=-17/29
I can't figure out the range please help
Answer:
5
Step-by-step explanation:
range is biggest number minus smallest number.
First arrange the numbers from least to greatest.
4, 4, 5, 6, 8, 9, 9
Subtract the biggest number, 9, from the smallest number, 4.
9 - 4 = 5
Answer:
5
Step-by-step explanation:
The range is the highest value number minus the lowest value number. 9 minus 4 is 5.
i will marke brainliest. what is If 1=3
2=3
3=5
4=4
5=4
Then, 6=?
Heres a hint think about how many words are in the number when it is in word form
Answer:
3Step-by-step explanation:
Count the number of letters
1 = one ⇒ 3 letters2 = two ⇒ 3 letters3 = three ⇒ 5 letters4 = four ⇒ 4 letters5 = five ⇒ 4 letters6 = six ⇒ 3 lettersChange integers to strings and put them
1=one=32=two=33=three=54=four=45=five=36=six=37=seven=5Hence answer is 3
Express the ratio below in its simplest form
2.5 : 3.5
Answer:
5 : 7
Step-by-step explanation:
Assuming simplest form means in whole numbers, to find the ratio in simplest form, just multiply both sides by the same value until they are both whole numbers. So 2.5 : 3.5 = 2.5 * 2 : 3.5 * 2 = 5 : 7
Answer:
5:7
Step-by-step explanation:
The simplest form of 2.5 : 3.5 is 5:7 because 2.5 x 2 = 5 and 3.5 x 2 = 7
the volume inside a rectangular storage room is 2,025 cubic feet. the room is 9 feet high. find the the area of the floor.
Answer:
(Sorry if this answer is not correct, if it is or is not, please tell me in the comments!)
232.777778 feet squared (feel free to round the answer)
Step-by-step explanation:
The formula on how to find the volume is:
(the area of the floor) x (the height of the room) = 2025 cubic feet
We already know the height, so we need to plug it in.
(the area of the floor) x 9 feet = 2095 cubic feet
To get the area of the floor, we need to divide 2095 by 9.
So, the area of the floor is exactly 232.777778 feet squared.
Answer:
225 ft²
Step-by-step explanation:
Formula
Volume = Base Area x HeightVolume = 2,025 ft³Height = 9 ftSolving :
Base Area = Volume / HeightBase Area = 2,025 / 9Base Area = 225 ft²use the discriminate to determine how many solutions this equation has -8x^2-8x-2=0
Answer:
One solution
Step-by-step explanation:
Discriminant
[tex]\textsf{Discriminant}:b^2-4ac}\quad\textsf{when}\:ax^2+bx+c=0[/tex]
[tex]\textsf{If}\quad b^2-4ac=0 \implies \textsf{one solution}[/tex]
[tex]\textsf{If}\quad b^2-4ac > 0 \implies \textsf{two solutions}[/tex]
[tex]\textsf{If}\quad b^2-4ac < 0 \implies \textsf{no solutions}[/tex]
Given equation:
[tex]-8x^2-8x-2=0[/tex]
Swap sides:
[tex]\implies 8x^2+8x+2=0[/tex]
Using discriminant:
[tex]\implies b^2-4ac=8^2-4(8)(2)=0[/tex]
Therefore, there is one solution
--------------------------------------------------------------------------------------------
Proof
[tex]8x^2+8x+2=0[/tex]
Divide both sides by 2:
[tex]\implies 4x^2+4x+1=0[/tex]
Separate the middle term:
[tex]\implies 4x^2+2x+2x+1=0[/tex]
Factor the first two terms and the last two terms separately:
[tex]\implies 2x(2x+1)+1(2x+1)=0[/tex]
Factor out the common term [tex](2x+1)[/tex]:
[tex]\implies (2x+1)(2x+1)=0[/tex]
Therefore:
[tex]\implies 2x+1=0[/tex]
[tex]\implies x=-\dfrac12[/tex]
Thus proving there is one solution.
Here
a=-8b=-8c=-2Discriminate
D=b²-4acD=(-8)²-4(-8)(-2)D=64-64D=0Roots are equal hence one solution
What is the surface area of this right prism?
48 in²
84 in²
96 in²
120 in²
Answer:
It's 96
Step-by-step explanation:
-The left and right rectangles
5*4=20
(5*4)*2=40
-Triangle (front and back)
8*3/2=12
(8*3)/2*2=24
-Bottom Triangle (base)
8*4=32
-Area
=40+24+32
=96
Answer: 96 in^2
Step-by-step explanation: I took the quiz and got it right!! Hope this helps you, have a beautiful day!! :)
A circle has a diameter of length 11 cm. What is the length of the radius?
5.5
Step-by-step explanation:
radius = diameter÷2
diameter = 11
so Length of Radius will be 11÷2
which will be 5.5
Write a recursive formula for a_na n , the n^{\text{th}}n th term of the sequence 6, 11, 16, ...6,11,16,....
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving, how many servings can be made from three gallons?
Answer:
16 cups are in a gallon, meaning we are working with 48 cups. 1 cup of milk works for 4 servings.
Therefore 48 * 4 = 192 servings.
A recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.
It is given that, A recipe uses 3 cups of milk to make 12 servings and the same amount of milk is used for each serving,
As we know,16 cups are in a gallon,
1 gallons = 16 cups
3 gallons = 3 × 16 cups
3 gallons = 48 cups
If 1 cup of milk works for 4 servings,
The number of servings that can be made from three gallons will be,
=48 × 4
= 192 servings.
Thus, a recipe uses 3 cups of milk to make 12 servings. if the same amount of milk is used for each serving,192 servings can be made from three gallons.
Learn more about the arithmetic operation here:
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solve using completing the square method
Answer:
x=3.48 or -1.98
Step-by-step explanation:
2x^2-3x-8=0
x^2-1.5x-4=0
(x-0.75)^2=0
x^2-1.5x-0.5625=0
(x-0.75)^2-7.4375=0
(x-0.75)=√(7.4375)
x=0.75±√(7.4375)
x=3.48 or -1.98
The outer angle at the top C of the ABC is 112 °. If the bisector of the side AB intersects the side AC at point Q and the segment BQ is perpendicular to AC, find the magnitude of ABC
Answer:
A customer purchased a furniture for Rs. 3390 with 13% VAT . Find the cost of the furniture without VAT?
Question
Find the surface area of the cube.
The surface area is
square yards.
Answer:
81 square yards
Step-by-step explanation:
width- 9 ft
length- 9ft
width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.
Hope this helps.
BTW it's my birthday
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 8 \times \dfrac{ \pi}{2} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 4 \pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 4 \times 3.14 = 12.56 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=8(π/2)L=4πL=12.6units