The solutions of the equations are the point of intersection of the equations
The solutions are located at points (-2,7) and (1,1)
How to determine the solutions?The equations are given as:
y = –2x + 3 and y = x2 – x + 1
Next, we plot the graph of both equations
From the graph of the equations (see attachment), we have the solution to be:
(x,y) = (-2,7) and (1,1)
Hence, the solutions are located at points (-2,7) and (1,1)
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Answer:
D.
(–2, 7) and (1, 1)
Step-by-step explanation:
I took the algebra exam
please someone do number 9
Answer:
2 4/5 kg.
Step-by-step explanation:
Multiply 7/2 (3 1/2) by 4/5
The circumference of a circular ice
skating rink is 408.2 m.
What is the
approximate are of the skating rink? Use
3.14 for Pi. (10 points)
Answer:
13259.77 meters squared
Step-by-step explanation:
Can 5+10= be an expression even if the problem does not have an answer?
Answer:
yes, an expression is at least 2 terms
an equation requires two sides
Answer:
yes
Step-by-step explanation:
Bella is typing a 400 word essay. She types 50 words in 2 minutes.
Enter an equation in the form of y=mx+b, that represents the number of words (y) remaining to type after x minutes.
Answer:
[tex]y=25x[/tex]
Step-by-step explanation:
If Bella types 50 words in 2 minutes, we can divide 50 by 2 to see how many words she types in 1 minute.
[tex]50/2=25[/tex]
So, Bella types 25 words per minute. When she first began writing her essay, she did not have words to start with, so there is no y-intercept ([tex]b[/tex]).
Therefore, the equation that represents this relation is [tex]y=25x[/tex].
Solving the equation
We can divide 400 by 25 to determine how many minutes it would take her to finish her essay.
[tex]\frac{400}{25} =16[/tex]
Therefore, it will take her 16 minutes to complete her essay.
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a water tank holds 256 gallons but is leaking at 3 gallons per week. A second water tank holds 384 gallons but is leaking at a rate of 5 gallons per week . After how many weeks will the amount of water in the two tanks be the same
the two tanks wi equal 64
x=64
Answer:
w = 64 weeks
Step-by-step explanation:
From the information, we have two equations that we will need to set equal to each other to find the number of weeks, w, it takes for both tanks to hold the same amount:
[tex]-3w+256=-5w+384\\(-3w+256=-5w+384)-256\\(-3w=-5w+128)+5w\\(2w=128) /2\\w=64[/tex]
ACTIVITY 2: Apply Pythagorean Theorem to complete the data below and write your answers on your answer sheet. Refer to the given examples. (2 points each number) A 1. 8 15 b 2. 18 24 3. 24 40 a C B 4. 16 20 5. 4 9 a² + b2 or Formulas: If c is unknown: c2 = If a is unknown: a2 = Ifb is unknown: b2 = c² - b2 or c= Va2 + b 2 a= vc2-b2 b = c2 - a2 = a² C2 - a2 or
To completely complete the data use the formula a2 + b2 = c2 in order to find the value of the missing side.
What is the pytagorean theorem?This is a general formula that can be used to find out the lenght of one of the sides in a right-angle triangle by knowing the other sides.
The general formula is:
a^2 + b^2 = c^2side a = base of the triangleside b = altitudeside c= hipotenuse (diagonal line)How to use the theorem?Replace the known sides and find the third side. For example:
a^2 + b^2 = c^25^2+6^2 = c^215 + 36 = c^251 = c^2c = √51c = 7.14Learn more about Pythagorean Theorem in: https://brainly.com/question/14504604
Find the value of x. (25 points!)
Answer:
22.5
Step-by-step explanation:
By the angle bisectors theorem,
30/32 = x/24
x=24(30/32) =22.5
BRAINLIEST TO WHOEVER GETS IT RIGHT
Which of the following accurately shows the first step when solving the following system of equations by substitution?
f(x) = -4x^2 + 3x + 1
g(x) = -6x +5
a -4x^2+ 3x + 1 = -6x +5
b 4x^2 + 3x +1 - 6x + 5 = 0
c g(x)= -6(-4x^2 + 3x + 1) + 5
df() = -4(-6x + 5)^2 +3(-6x + 5) +1
Answer:
c and d
Step-by-step explanation:
because
- In f(x),evey time you find X you write(-6x+5) instead
4x²-----------4(-6x+5)²
3x+1------------3(-6x+5) +1
-In g(x),evey time you find X you write(-4x² +3x+1) instead
1/15 ÷ 8 what is the answer to this question
Hey there!
1/15 ÷ 8
= 1/15 ÷ 8/1
= 1/15 × 1/8
= 1 × 1 / 15 × 8
= 1 / 120
Therefore, your answer is: 1/120
Good luck on your assignment & enjoy your day!
~Amphirite1040:)
There are 25 white tiles in a box. what percent of tiles what percent of tiles will ally use to tile her laundry room floor (6ft by 6ft)
Answer: 100%
Step-by-step explanation:
Solve for x. Leave your answer in simplest radical form.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER
Answer:
x = 7
Step-by-step explanation:
I used the formula c^2 = a^2 + b^2
if you need further explanation,let me know
Scott has 6 T-shirts and 10 dress shirts in his wardrobe. What is the probability of selecting a dress shirt from his wardrobe?
a-3/8
b-3/5
c-5/8
d-8/5
Answer:
B
Step-by-step explanation:
6 divided by 10 = 0.6
0.6 = 6/10
6/10 = 3/5
Is 2x + 6x equivalent to 9x when x=0?
Answer:
Yes
Step-by-step explanation:
Anything muliplied by zero end up equalling zero. So with this in mind we can put 0 in for x and find out what each eqautian equals.
2(0) + 6(0) = 0; Once we multiply both sides we end up adding 0 and 0, so it equals 0
9(0) = 0
Since, 0 = 0 they are both equal.
Hope this helps!
Determine if the two triangles are necessarily congruent. If so, fill in a flowchart proof to prove that they are. N A B M
Answer:
Step-by-step explanation:
The scale drawing is 2 cm:5m. What is the length,width,and area of the actual room. 8cm & 12 cm
Answer:
Length= 20m, width=30m Area= 600m²
Step-by-step explanation:
The length becomes 8/2 × 5m=20m
the width becomes 12/2 × 5m=30m
Area = length × width
= 20m × 30m
=600m²
Use DeMoivre's Theorem to find the square roots of 4(cos90+ i sin 90). Show your work.
Answer:
Procedure 6.3. 1:Finding Roots of a Complex Number
Express both z and w in polar form z=reiθ,w=seiϕ. ...
Solve the following two equations: rn=s. ...
The solutions to rn=s are given by r=n√s.
The solutions to einθ=eiϕ are given by: nθ=ϕ+2πℓ,forℓ=0,1,2,⋯,n−1. ...
Using the solutions r,θ to the equations given in (6.3.
Step-by-step explanation:
Answer:-1.79229446 + 3.57598665 i
Step-by-step explanation:
I will honest this how much I can help you
The Ferris wheel shown makes 14 revolutions per ride. How far would someone travel during one ride? Round your final answer to the nearest whole number. Use 3.14 for π.
diameter 67 feet
Someone would travel about
feet during one ride on the Ferris wheel.
Answer:
2,945 feet
Step-by-step explanation:
Find the circumference.
C = dπ
C = 67(3.14)
C = 210.38
Since there are 14 revolutions, multiply the circumference by 14.
210.38 x 14 = 2945.32
Round
2,945
Calculate the perimeter of the figure
Answer:
76
Step-by-step explanation:
4+4+4+4+4+4+8+8+18+18 = 76
I need help with Function Operations please
Answer:
30
Step-by-step explanation:
The ring operator signifies a composition of functions. The composition is evaluated right-to-left. That means the composition ...
[tex](f\circ g)(x)[/tex]
should be interpreted to mean ...
[tex]f(g(x))[/tex]
___
To evaluate f(g(6)), we first evaluate g(6):
g(6) = 6² -5 = 31
Then we evaluate the function f using that as its argument:
f(31) = 31 -1 = 30
f(g(x)) = 30
Which expressions are equivalent to In e?
Answer:
lne = log(e)e = 1
Step-by-step explanation:
I hope this helps!
WHAT S THE LENGTH
OF THE MISSING SIDE?
3
Answer:
4
Step-by-step explanation:
using Pythagorean theorem
a^2+b^2=c^2
you have C so you can flip it around
c^2-b^2 will give you a^2
Answer:
the answer is 4
Step-by-step explanation:
b²=5²-3²
b²=16
b=4
What is the value of c in the equation below?
2^-4 x 2^2 = a^b = c
Answer:
[tex]\frac{1}{64}[/tex]
The third option.
Step-by-step explanation:
A wire that is 22 feet long connects the top of a pole to the ground. The wire is attached to the ground at a point that is 10 feet from the base of the pole.
A right triangle with side length 10 feet, hypotenuse of 22 feet, and side of h.
What is the height of the pole? Round to the nearest hundredth.
12.00 feet
19.60 feet
24.17 feet
38.40 feet
✰ Concept Used :-
⠀
In this question, we can clearly observer that the diagram shows a right angled triangle. And, we have been provided with the value of base, and the value of hypotenuse, using the pythagoras theorem, now we can easily find out the value of the perpendicular i.e. the value of the side h. According to the pythagoras theorem, square of hypotenuse is equal to the sum of square of perpendicular and square of side respectively. Therefore, square of side is equal to the difference of square of hypotenuse and square of perpendicular.
⠀
✰ Given Information :-
⠀
Hypotenuse = 22 ft. Base = 10 ft.⠀
✰ To Find :-
⠀
The value of side or the perpendicular⠀
✰ Formula Used :-
⠀
[tex] \star \: \underline{ \boxed{ \purple { \sf {Side}^{2} = {Hypotenuse}^{2} - {Base}^{2} }}} \: \star [/tex]
⠀
✰ Solution :-
⠀
[tex]\sf \longrightarrow {Side}^{2} = {(22 \: ft)}^{2} - {(10 \: ft)}^{2} \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {484 \: ft}^{2} - {100 \: ft}^{2} \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{2} = {384 \: ft}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \sqrt{ {384 \: ft}^{2} } \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \longrightarrow {Side}^{} = \underline{ \boxed{ \frak{ \green{19.60 \: ft}}}} \: \star \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]
Thus, option B. 19.60 ft. is the correct option.
⠀
[tex]\underline{\rule{230pt}{2pt}} \\ \\ [/tex]
Answer:
Answer is B
Step-by-step explanation:
Which of the following shapes can be a cross section of a cylinder?
Answer:
Below
Step-by-step explanation:
The second ( Oval) (The cross-section of a slanted plane through curved body of the cylinder)
The third (Circle). ( The cross section of a plane parallel to the base)
The fifth (Rectangle) (The vertical cross section of a plane through the diameters of the top and bottom of the cylinder.).
The shapes can be used are oval, circle and rectangle.
What is Geometry?Geometric shapes are defined as figures closed by a boundary which is made by combining the definite amount of curves, points, and line segments. Each shape has a unique name such as circle, square, triangle, rectangle, etc. In real life, we are surrounded by various basic geometric shapes, like the slice of a pizza is in the shape of a triangle, doors or windows are in the shape of a rectangle, and many more.
Types of Geometric ShapesIn geometry, when an object or a shape is not connected with both ends, it is considered an open geometric shape. When an object or a shape is connected with both ends it is considered a closed geometric shape. There are two types of geometric shapes, classified as:
Two-dimensional: These are 2D shapes that have only the x-axis and y-axis. They are flat structures with 2 dimensions. For example, triangle, square, rectangle, etc.Three-dimensional: These are 3D shapes that have an x-axis, y-axis, and z-axis. The z-axis represents the height of the object. They are solid structures with 3 dimensions. For example, cube, cuboid, etc.First, oval can be used as the cross-section of a slanted plane through curved body of the cylinder.
Then, circle (plane parallel to base)
Then, rectangle the vertical cross section of a plane through diameters.
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i do not know this answer
Answer:
9 millimeters is the answer.
6 a =24
Help me please
Which of the following is ALWAYS a property of a parallelogram
A. 4 congruent sides
B. opposite sides are parallel
C. 4 angles that measure 90 degrees
D. 4 equal angles
Answer:
B. Opposite sides are parallel.
Step-by-step explanation:
This is the definition of a parallelogram.
The other 3 conditions may or may not be true.
Opposites sides are parallel is always a property of a parallelogram.
What is parallelogram?
" Parallelogram is defined as the two dimensional polygon whose opposite sides are always parallel and congruent to each other."
According to the question,
As per the properties of parallelogram we have,
Opposites sides are always parallel to each other.Opposite sides are always congruent to each other.Opposite angles are always congruent to each other.Adjacent angles are supplementary.Diagonals bisect each other.Hence, Option (B) is the correct answer.
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What is the missing number in 73, 67, 61,____, 49, _____, 37 A.55,42 b.55,43 c. 55, 32 D. 55, 34
Answer:
b) 55 and 43
Step-by-step explanation:
I can tell by the first 3 or so numbers that the sequence is decreasing by 6 each time, so when you go from 61- blank - 49 it has to be 55 and same with the other one.
What are the solutions to the quadratic equation (x + 4)(3x - 5) = 0?
Answer:
x = 4x = 5/3Step-by-step explanation:
Given :
⇒ (x + 4)(3x - 5) = 0
The solutions will make the answer 0.
Therefore,
x + 4 = 0 3x - 5 = 0⇒ x = 4
⇒ 3x = 5 ⇒ x = 5/3
Natalie is playing a game using a fair coin. Contestants win the game if the fair coin lands tails up. The theoretical proabaility that the coin will lamd tails is ? If 250 contestants play the game, about of them are expected to win
The theoretical probability of landing on tails is P = 0.5, and out of the 250 contestants, around 125 will win the game.
About how many contestants will win?
The coin has two possible outcomes, so if it is a fair coin, the probability for each of the outcomes will be 0.5 (this is the theoretical probability for a fair coin, where all the outcomes have the same probability).
Now, we know that a person wins if the coin lands tails up, and the probability of landing on tails is 0.5
Then, for a sample N, we can expect that about 0.5*N of the participants win.
In this case, the sample is 250, then we can expect that:
0.5*250 = 125
Around 125 of the contestants win the game
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