how to graph the equation y= 2x + 3 and y= 2x -2?
Answers
It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.
y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.
y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.
Related Questions
What is the value of x? 58 92 121 63
Answers
126/2 = x
63 = x
Answer:
Angle x = 63 °.
Step-by-step explanation:
Given : A circle larger arc angle 184° and smaller arc angle 58°.
To find: What is the value of x.
Solution : We have given that larger arc angle 184°
Smaller arc angle 58°.
Angle formed by tangent and chord = x
m∠x = [tex]\frac{1}{2}( 184 - 58 )[/tex].
m∠x = [tex]\frac{1}{2}( 126)[/tex].
m∠x = 63 °.
Therefore, Angle x = 63 °.
Find the range of the graphed function?
Answers
B is true
B is the correct answer
Which of the following is a true equation?
1) 10 + 3 + 1 = 13 + 6
2) 4 - 3 = 7
3) 4 + 3 - 3 = 7 - 3
4) 4 + 3 = 7 + 3
Answers
4 = 4
answer
3) 4 + 3 - 3 = 7 - 3
find the Factor of
48m - 80n.
Answers
80n = 16(5n)
so
48m - 80n = 16(3m - 5n)
Store A advertises a sale for 3 loaves of bread for $5.94. Explain how to use an equivalent rate to find the unit price of the bread at Store A.
Answers
Answer: I wrote the rate, with $5.95 in the numerator and 3 loaves in the denominator. I needed to find an equivalent rate expressed as a fraction with the denominator of 1. I noticed 3 loaves divided by 3 gave a denominator of 1, so I divided $5.94 by 3 to find that each loaf costs $1.98.
Just did it on Edge 2021
Btw Can you mark me brainlest pls
The equivalent rate of the bread is $1.98.
Since the store advertises a sale for 3 loaves of bread for $5.94, in order to find the equivalent rate, the person has to divide $5.94 by 3. This will be:
= $5.94/3
= $1.98
Therefore, the equivalent rate of the loaves of bread will be $1.98
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Tyquan uses the greatest common factor and the distributive property to rewrite this sum: 75 + 60 What expression does Tyquan write? 3(25 + 20) 5(15 + 12) 25(3 + 60) 15(5 + 4)
Answers
75/15 = 5
60/15 = 4
so ur expression is : 15(5 + 4) <==
The sample variance is 18.7. what is the sample standard deviation? answer to two decimal places.
Answers
Distributive property of 68/4
Answers
The trick here is to rewrite 68 as 4(17).
domain of the function
Answers
y exist : x+6 ≥ 0
x ≥ -6
The tensile strength of paper is modeled by a normal distribution with a mean of 35 pounds per square inch and a standard deviation of 2 pounds per square inch. what is the probability that the strength of a sample is less than 38 lb/in2? round your answer to 4 decimal places.
Answers
mean=35 psi
std dev=2 psi
distribution normal
For probability that X<38,
calculate
Z score = (X-mean)/std dev
=(38-35)/2=1.5
P(X<38)
=P(Z<1.5)
=0.9331928 from tables.
So probability that the strength of a random sample <38 pis = 0.9332
What is 8.038×108 in standard form?
80,308,000
80,380,000
83,800,000
803,800,000
Answers
Answer:
803,800,000
Step-by-step explanation:
8.038×10^8 in standard form
To get standard form we multiply the decimal number by 10^8
10^8 is 100000000
Now we multiply
8.038×100000000
Move the decimal number 3 places to the right and add 5 more zeros
803800000
So the standard form of the given expression is
803,800,000
Joe has 310 baseball cards. He writes the number of cards in expanded form. How many ones will he write?
Answers
Answer:
The expanded form of 310 is:
310 = 300 + 10.
Joe will write two numbers to form 310.
Step-by-step explanation:
The expanded form is used to write numbers and see the math value of individual digits. So, the numbers are separated into individual place values and decimal places and form a mathematical expression.
310 in expanded form is 300 + 10 = 310.
How do write 21,070 in standard form
Answers
Final answer:
The number 21,070 is already in standard form. Standard form is a straightforward expression of a number as commonly written, without the need for scientific notation for simple numbers like this one.
Explanation:
The number 21,070 written in standard form is simply 21,070 itself. In mathematics, standard form refers to the way a number is commonly written. This number is already in standard form because it is expressed in a direct and straightforward manner. There is no need for further simplification or conversion. When numbers are very large or very small, they can be cumbersome to write out in full, which is why scientists and mathematicians may use scientific notation to express them.
For instance, if we had a larger number like 77,123,450, we could write it in scientific notation as 7.712345 × 10⁷, emphasizing that it is 7.712345 times ten to the seventh power.
For the provided number 21,070, no such conversion is necessary, and it remains 21,070 in standard notation.
Besides the 90° angle measure, what are the other two angle measures of a right triangle with side lengths 5, 12, and 13? Round to the nearest degree.
Answers
Let α be the angle opposite to the side with a length of 12 units, then according to the Law of sines:
[tex] \frac{13}{sin90^o}= \frac{12}{sin \alpha } \ \ \to \ \ sin \alpha = \frac{12 \cdot sin90^o}{13}= \frac{12*1}{13} \approx 0.923 \ \ \to \ m\angle \alpha \approx 67^o[/tex]
In a triangle, the three interior angles always add to 180° ⇒
third angle = 180 - 90 - 67 = 23°
Answer:
67° and 23° (to the nearest degree).
The other two angles are 23 degrees and 67 degrees.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
Given a right angled triangle with one angle 90 degrees.
We need to find the other two angle measures of a right triangle with side lengths 5, 12, and 13
The relations in a right triangle are given as follows:
The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the hypotenuse is the largest size of 13.
The angle opposite to the side of length 5 is found as follows:
sinθ=5/13
θ=sin⁻¹5/13
θ=23
By angle sum of 3 angles is of 180º, the other angle is of 67º.
Hence, the other two angles are 23 degrees and 67 degrees.
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McDonald's is the king of the burger world, as it has more hamburger joints than any other restaurant chain. In 2013, McDonald's had 1427 locations in Canada. If the population of Canada was approximately 35.16 million citizens in 2013, what was the number of McDonald's restaurants per capita in Canada in 2013? Express your answer in scientific notation rounded correctly to three decimal places.
Answers
In 2013, there were approximately 4.509 McDonald's restaurants per 100,000 people in the US.
To calculate the number of McDonald's restaurants per capita in the US in 2013, we divide the total number of McDonald's locations (14267) by the population of the US (316,500,000).
[tex]\[ \text{McDonald's per capita} = \frac{14267}{316500000} \][/tex]
Performing the division, we get [tex]\( 4.509 \times 10^{-5} \)[/tex].
This means there were approximately 4.509 McDonald's restaurants per 100,000 people in the US in 2013.
So, the number of McDonald's restaurants per capita in the US in 2013 is [tex]\( 4.509 \times 10^{-5} \) or \( 4.509 \times 10^{-5} \)[/tex] McDonald's per person.
There are six different sixth roots of 64. That is, there are six complex numbers that solve x^6=64
Please help
Answers
1)
When we know that:
[tex]\sqrt[n]{z}=\sqrt[n]{|z|}\Big(\cos\frac{\phi+2k\pi}{n}+i\sin\frac{\phi+2k\pi}{n}\Big)\qquad\text{for}\quad k=0,1,\ldots,n-1[/tex]
when [tex]z=|z|(\cos\phi+i\sin\phi)[/tex]
then:
[tex]x^6=64\quad|\sqrt[6]{(\ldots)}\\\\x=\sqrt[6]{64}[/tex]
For [tex]x=64[/tex] we have:
[tex]64=|64|(\cos0+i\sin0)\quad\Rightarrow\quad \phi=0[/tex]
and:
[tex]\sqrt[6]{64}=\sqrt[6]{64}\Big(\cos\frac{0+2k\pi}{6}+i\sin\frac{0+2k\pi}{6}\Big)\qquad\text{for}\quad k=0,1,\ldots,5\\\\\\ \sqrt[6]{64}=2\Big(\cos\frac{k\pi}{3}+i\sin\frac{k\pi}{3}\Big)\qquad\text{for}\quad k=0,1,\ldots,5 [/tex]
k = 0
[tex]2\Big(\cos\frac{0}{3}+i\sin\frac{0}{3}\Big)=2(1+0i)=2\cdot1=\boxed{2}[/tex]
k = 1
[tex]2\Big(\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}\Big)=2\Big(\frac{1}{2}+i\frac{\sqrt{3}}{2}\Big)=\boxed{1+i\sqrt{3}}[/tex]
k = 2
[tex]2\Big(\cos\frac{2\pi}{3}+i\sin\frac{2\pi}{3}\Big)=2\Big(-\frac{1}{2}+i\frac{\sqrt{3}}{2}\Big)=\boxed{-1+i\sqrt{3}}[/tex]
k = 3
[tex]2\Big(\cos\frac{3\pi}{3}+i\sin\frac{3\pi}{3}\Big)=2\Big(\cos\pi+i\sin\pi\Big)=2(-1+0i)=\boxed{-2}[/tex]
k = 4
[tex]2\Big(\cos\frac{4\pi}{3}+i\sin\frac{4\pi}{3}\Big)=2\Big(-\frac{1}{2}-i\frac{\sqrt{3}}{2}\Big)=\boxed{-1-i\sqrt{3}}[/tex]
k = 5
[tex]2\Big(\cos\frac{5\pi}{3}+i\sin\frac{5\pi}{3}\Big)=2\Big(\frac{1}{2}-i\frac{\sqrt{3}}{2}\Big)=\boxed{1-i\sqrt{3}}[/tex]
So the answer is:
[tex]x=\{2,\,1+i\sqrt{3},\,-1+i\sqrt{3},\,-2,\,-1-i\sqrt{3},\,1-i\sqrt{3}\}[/tex]
2)
We don't know method (1). If so, we could use following identities:
[tex](1)\quad a^2-b^2=(a+b)(a-b)\\\\(2)\quad a^3-b^3=(a-b)(a^2+ab+b^2)\\\\(3)\quad a^3+b^3=(a+b)(a^2-ab+b^2)[/tex]
There will be:
[tex]x^6=64\\\\x^6-64=0\\\\(x^3)^2-8^2=0 \qquad\text{from (1)}\\\\(x^3+8)(x^3-8)=0\\\\(x^3+2^3)(x^3-2^3)=0\qquad\text{from (2) and (3)}\\\\ (x+2)(x^2-2x+4)(x-2)(x^2+2x+4)=0\qquad(\star)[/tex]
Now, we complete the square for:
[tex]x^2-2x+4=x^2-2x+1+3=(x^2-2x+1)+3=(x-1)^2+3=\\\\=(x-1)^2+(\sqrt{3})^2=(x-1)^2-(-1)(\sqrt{3})^2=(x-1)^2-i^2(\sqrt{3})^2=\\\\=(x-1)^2-(i\sqrt{3})^2=\text{from (1)}=\boxed{(x-1-i\sqrt{3})(x-1+i\sqrt{3})}[/tex]
and for:
[tex]x^2+2x+4=x^2-2x+1+3=(x^2+2x+1)+3=(x+1)^2+3=\\\\=(x+1)^2+(\sqrt{3})^2=(x+1)^2-(-1)(\sqrt{3})^2=(x+1)^2-i^2(\sqrt{3})^2=\\\\=(x+1)^2-(i\sqrt{3})^2=\text{from (1)}=\boxed{(x+1-i\sqrt{3})(x+1+i\sqrt{3})}[/tex]
When we return to [tex](\star)[/tex]:
[tex](x+2)(x^2-2x+4)(x-2)(x^2+2x+4)=0\\\\(x+2)(x-1-i\sqrt{3})(x-1+i\sqrt{3})(x-2)(x+1-i\sqrt{3})(x+1+i\sqrt{3})=\\=0[/tex]
And we have answer:
[tex]x=\{-2,\,1+i\sqrt{3},\,1-i\sqrt{3},\,2,\,-1+i\sqrt{3},\,-1-i\sqrt{3}\} [/tex]
To find the six sixth roots of 64, you can use polar form and De Moivre's Theorem to calculate the complex numbers. The roots are 2, 1+i√3, -1+i√3, -2, -1-i√3, and 1-i√3.
[tex]X^6 = 64[/tex]
The sixth roots of 64 are complex numbers and can be found by writing 64 in polar form and applying De Moivre's Theorem. Let's find the six roots:
First root: 2(cos(0) + i sin(0)) = 2
Second root: 2(cos(π/3) + i sin(π/3)) = 2(1/2 + i√3/2) = 1 + i√3
Third root: 2(cos(2π/3) + i sin(2π/3)) = 2(-1/2 + i√3/2) = -1 + i√3
Fourth root: -2
Fifth root: -2(cos(-π/3) + i sin(-π/3)) = -2(1/2 - i√3/2) = -1 - i√3
Sixth root: -2(cos(-2π/3) + i sin(-2π/3)) = -2(-1/2 - i√3/2) = 1 - i√3
Tom ate 1/2 of the 1/2 leftovers. How much pie in all did he eat?
Answers
hope it helps?!
Solve For L: A = L ⋅ W ⋅ H
L=aw/h
L=wh/a
L=a/wh
L=w/ha
Answers
A=L*WH
[tex] \frac{A}{WH} [/tex]=L
So you answer would be: C
Express each repeating decimal as a fraction.
1.
1.8[4]
2.
2.1[26]
Answers
1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45
2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198
Answer:
1.8444444....=1.8+1/10*0.44444....
=1.8+1/10*4/9
=1.8+4/90
=162/90+4/90
=166/90
=83/45
2.126262626...=2.1+1/10*0.262626...
=2.1+1/10*26/99
=2.1+26/990
=2079/990+26/990
=2105/990
=421/198
Bess practices trumpet 1/2 hr on Monday and 1 3/5 hr on Wednesday.
How many hours does Bess practice trumpet?
Answers
Use the function below to find f(4).
Answers
f(4) = 1/3 * 4^4
f(4) = 1/3 * 256
f(4) = 256/3 <===
Answer: The correct option is (C) [tex]\dfrac{256}{3}.[/tex]
Step-by-step explanation: The given function is
[tex]f(x)=\dfrac{1}{3}\times 4^x.[/tex]
We are to find the value of f(4).
To find the value of f(4), we need to substitute the value of x as 4 in the given definition of function f(x).
Substituting x = 4 in f(x), we have
[tex]f(4)=\dfrac{1}{3}\times 4^4=\dfrac{1}{3}\times 256=\dfrac{256}{3}.[/tex]
Therefore, the value of f(4) is [tex]\dfrac{256}{3}.[/tex]
Option (C) is correct.
What is the value of x?
6 + 8x
-------------- = 5x
2
A) -2
B) -1
C) 1/3
D) 3
Answers
A right triangle has one angle that measure 23o. The adjacent leg measures 27.6 cm and the hypotenuse measures 30 cm. What is the approximate area of the triangle? Round to the nearest tenth. Area of a triangle = bh
Answers
Answer:
162.8 cm²
Step-by-step explanation:
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height.
The base can be represented as the given leg, 27.6 cm. We do not know the height. We must use the Pythagorean theorem to find this:
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
Subtract 761.76 from each side:
761.76+b²-761.76 = 900-761.76
b² = 138.24
Take the square root of each side:
√(b²) = √(138.24)
b = 11.8
Now we use the area formula:
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
The area of a given right triangle is 162.8 cm².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the base can be represented as the given leg, 27.6 cm. We do not know the height.
Using Pythagorean theorem,
a²+b² = c²
27.6²+b² = 30²
761.76+b² = 900
761.76+b²-761.76 = 900-761.76
b² = 138.24
b = √(138.24)
b = 11.8
The formula for the area of a triangle is
A = 1/2bh, where b is the base and h is the height
A = 1/2(11.8)(27.6) = 162.84 ≈ 162.8
Therefore, the area of a given right triangle is 162.8 cm².
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what is (9x^4-x^2y^2-5y^4)-(3x^4+2x^2y^2-7y^4)
Answers
9x⁴ - x²y² - 5y⁴ - 3x⁴ - 2x²y² + 7y⁴
6x⁴ - 3x²y² + 2y⁴
Solve the system using the elimination method.
2x + y − z =9
−x + 6y + 2z =−17
5x + 7y + z =4
Whats x, y, and z???
Answers
Using the elimination method, the given system of equations leads to a solution of x = -1, y = 1, and z = -2.
Explanation:Solving the SystemThe first step in solving this system of equations using the elimination method is to try and eliminate one of the variables. Let's start with eliminating 'z' by adding the first and the third equation: [tex](2x + y - z) + (5x + 7y + z) = 7x + 8y = 13.[/tex]Now we can eliminate 'z' from the second equation as well by subtracting from it twice the first one:[tex]-(-x + 6y + 2z) - 2(2x + y - z) = -3x + 4y = -5.[/tex]Then we solve the new system of two equations: 7x + 8y = 13 and -3x + 4y = -5. Using substitution or elimination on this will give y = 1Substituting y = 1 into the equation -3x + 4y = -5 gives x = -1.Finally, substituting x = -1 and y = 1 into the first original equation 2x + y - z = 9 gives z = -2. So, the solution is x = -1, y = 1, z = -2.Learn more about Elimination Method here:https://brainly.com/question/13877817
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A coin is tossed 10 timesWhat is the probability of getting all heads?
Answers
there is two sides, one head an one tail, or 1/2 chance of getting heads
Tossed 10 times, it still has 1/2
hope this helps
In the numer 6,666.666 how does the 6 in the hundredths place compare to 6 in the place to its left
Answers
the six to the left is worth more than the six in the hundredths
hope
i helped
the 6 in the hundreths place is 1/10 the value of the 6 in the place to the left
What is 630 rounded to the nearest ten?
Answers
I have 5 digits. My 4s are worth 4 [10,000s] and 4 * 10. One of my 3s is worth 3,000. The other is worth 1/10 as much. My other digit is a 2. What number am I?
Answers
4(10,000) + 4(10) + 3,000 + 3,000(1/10) + 2 = 43,342
Thus, the 5-digit number is 43,342.
Jacks has 18 marbles,he loses 6 of them.
What fraction of the marbles does he lose?
Answers
1/3
Hope this helps!