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2. What is the new correction equation using the Equal Values Method for the following system below?
y=2x+1
y = 6-3x
Answer:
new equation: 2x +1 = 6 -3x
solution: (x, y) = (1, 3)
Step-by-step explanation:
The Equal Values Method of solving a system of equations has you equate the two expressions that are equal to the same variable or expression. Here, we have two expressions that are equal to y.
equationThe next step is to set them equal to each other:
2x +1 = 6 -3x
__
solutionThis equation can be solved by adding 3x -1 to both sides to get ...
5x = 5
Then dividing both sides by 5 gives ...
x = 1
Substituting into either expression for y gives its value:
y = 2x +1 = 2(1) +1 = 3
The solution to the system is (x, y) = (1, 3).
A point is plotted on the number line at 4 3/5 . A second point is plotted at −3 3/4 .
What is the length of a line segment joining these points?
Enter your answer as a simplified mixed number in the box.
Answer:
8 7/20
Step-by-step explanation:
Converting both numbers to improper fractions :
4 3/5
⇒ (4 x 5/5) + 3/5
⇒ 20/5 + 3/5
⇒ 23/5
-3 3/4
⇒ - (3 x 4/4 + 3/4)
⇒ - (12/4 + 3/4)
⇒ -15/4
Take the LCM as 20 and convert :
23/5
⇒ 23/5 x 4/4
⇒ 92/20
-15/4
⇒ -15/4 x 5/5
⇒ -75/20
Now find the difference :
⇒ 92/20 - (-75/20)
⇒ 92/20 + 75/20
⇒ 92 + 75 / 20
⇒ 167/20
Now convert into a mixed number :
⇒ 167/20
⇒ 8 7/20
Find the difference
4-3/5-(-3-3/4)23/5+15/44(23)+5(15)/2092+75/20167/208-7/20Help with this application of surface area and volume problem? i will reward brainly, this is 10th grade geometry! Any help appreciated! I am really struggling
Answer: 20.4
Step-by-step explanation:
Simplify the expression.
-81 ÷ (-9)
Please help
Answer:
-81/-9
both minus will be cut so
81/9
9
Step-by-step explanation:
the answer is 9
Can someone please answer this, ill give you brainliest Would be very appreciated.
[tex]\bf Blue \ Color \ Line : y = x^2[/tex]
If you are going to make it open from downwards. The function should be negative : -(x)²If the graph moves 10 units downwards. : y = (x)² - 10If you are going to move the graph horizontally 2 units left. : y = (x+ 2)²When added all together:
[tex]\bf Black \ color \ Line: y=-\left(x+2\right)^{2}-10[/tex] = Final answer.
What is the rate of change from 4 to 8?
Answer:
the rate of change from 4 to 8 is 4
Step-by-step explanation:
you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value
hope this helped
please help me!! i'll give brainliest if it's answered w work !!!! thank u im failing this class
Answer:
the correct answer is C her puppy weighted 20 pounds
Using two or more complete sentences, describe how to find the general rule for the geometric sequence with a4=3 and a6=3/16. In your final answer, include all of your calculations.
The steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.
What is geometric sequence?
Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
[tex]a_n=a_1r^{n-1}[/tex]
Here, a₁ is the first term of the sequence and r is the common ratio.
The fourth term and sixth term given in for the geometric sequence are 3 and 3/16. For the fourth term,
[tex]a_4=a_1r^{4-1}\\3=a_1r^3[/tex] ...1
For the sixth term,
[tex]a_6=a_1r^{6-1}\\\dfrac{3}{16}=a_1r^5[/tex] ....2
On solving, we get, a₁=192 and r=1/4. Thus, the geometric sequence can be given as,
[tex]a_n=a_1r^{n-1}\\a_n=192\times\dfrac{1}{4}^{n-1}[/tex]
Hence, the steps for the geometry sequence with the help of two terms of the sequence, make a system of equation and solve them to find common ratio and first term.
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Cube Root Values
What two whole numbers does 81 lie between
Answer:
between 4 and 5
Step-by-step explanation:
consider perfect cubes either side of 81 , that is
64 < 81 < 125 , then
[tex]\sqrt[3]{64}[/tex] < [tex]\sqrt[3]{81}[/tex] < [tex]\sqrt[3]{125}[/tex] , that is
4 < [tex]\sqrt[3]{81}[/tex] < 5
The volume of this rectangular prism is 2,016 cubic millimeters. What is the value of y?
Answer:
y = 12 mm
Step-by-step explanation:
Volume of a rectangular prism: length × width × height
V = L×W×H
v = 2,016 mm³l = 14 mmw = 12 mmh = y mmSubstitute the values above and solve for y:
2,016 = 14 × 12 × y
2,016 = 168y
2,016/168 = 1395v/168
12 = y
Final answer: 12 mm
Hope this helps!
How to solve for b? Do you need another variable?
Answer:
No there are 180 degrees on a line
Step-by-step explanation:
180
115-
065
65°
This table shows the relationship between x and y.
Guests at a wedding have an appetizer
choice of soup or a salad, an entrée choice
of chicken, steak, or vegetarian, then a
dessert choice of vanilla or chocolate cake.
How many different meals are possible?
3421880 number of the different meals are possible.
What is the combination?The arrangement of the different things or numbers in the number of the ways is called as the combination.
It is given that:-
Number of appetizers is 7, the number of entres is 10, and that there's 4 choices of desserts.
So let's take each course by itself. You can choose 1 of 7 appetizers. So we have n = 7 After that, you chose an entre,
so the number of possible meals to this point is
n = 7 x 10 = 70
Finally, you finish off with a dessert, so the number of meals is:
n = 70 x 4 = 280
Therefore the number of possible meals you can have is 280. Note: If the values of 77, 1010 and 44 aren't errors, but are actually correct, then the number of meals is
n = 77 x 1010 x 44 = 3421880
Therefore 3421880 different meals are possible.
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PLEASE HELP ME IF YOU DO you will get the most loyal friend and honest and nicest
Answer:
Below:
Step-by-step explanation:
1. 2 15/28
2. 2 7/10
3. 5/6
4. 1 5/12
5. 2 1/12
I need help pleaseeeeee I do not know what to do here
Answer:
[tex]A = 256[/tex]
Step-by-step explanation:
Since the hexagon is regular, we know that all of the side lengths are equal. We can find the length of the sides by solving for [tex]l[/tex] in the formula for the area of a hexagon:
[tex]A = \frac{3\sqrt{3}}{2}l^2\\384\sqrt{3} = \frac{3\sqrt{3}}{2}l^2\\384 = \frac{3}{2}l^2\\256 = l^2\\16 = l[/tex]
Now that we have the side length, we can find the area of the square:
[tex]A = l^2\\A = 16^2\\A = 256[/tex]
Answer:
256 in²
Step-by-step explanation:
Area of a Hexagon (To find side length)
A = 3√3 x l² x 1/2384√3 = 3√3 x 1/2 x l²256 = l²l = 16 inArea of square
Area = (Side length)²Area = (16)²Area = 256 in²A motor boat traveled 18 miles down a river in 2 hours but took 4.5 hours to return upstream. Find the rate of the motor boat in still water and the rate of the current.
b = speed of the boat in still water
c = speed of the current
when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.
now, going either way the boat travelled the same 18 miles.
[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&18&b-c&4.5\\ Downstream&18&b+c&2 \end{array}\hspace{5em} \begin{cases} 18=(b-c)4.5\\\\ 18=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{using the 1st equation}}{18=(b-c)4.5}\implies \cfrac{18}{4.5}=b-c\implies 4=b-c\implies \boxed{4+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{18=[~(4+c)+c~]2}\implies \cfrac{18}{2}=4+2c\implies 9=4+2c \\\\\\ 5=2c\implies \blacksquare~~ \cfrac{5}{2}=c ~~\blacksquare\hspace{5em}4+\left( \cfrac{5}{2} \right)=b\implies \blacksquare~~ \cfrac{13}{2}=b ~~\blacksquare[/tex]
4. Which of the following is a true statement?
A. -4(2x - 3) = -8x - 12
B.-7(4x - 8) = -28x + 56
=
C. 5(3x + 6) = 15x + 6
D. 10-2(x + 5) = -2x + 20
Convert the fractions to decimals
Answer:
0.333333...
Step-by-step explanation:
2/6 = 1/3 = 0.33333...
You can divide on paper or on a calculator 2÷6 or 1÷3 to find this. If you are allowed to use a calculator and your calculator has F>D and D>F buttons they are for converting decimals and fractions back and forth. On paper, you are doing like a long division calculation. Put 2 inside the little dividing frame and put 6 on the outside. Or 1 inside and 3 outside. See image.
What is the value of y on question 7
The value of y in the given question will be y = -2x + 26.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The value of y will be calculated as:-
Given the equation :-
4y - 2x = 12
y = x / 2 + 12
Now for two perpendicular lines, the product of the intercepts is -1
m₁ x m₂ = -1
So the new intercept will be
m₂ = -1 / m₁ = -1 / 1 / 2 = -2
So new equation will be
y = -2x + c
2 = -2 x 12 + c
c = 26
So the equation will be:-
y = -2x + 26
Therefore the value of y in the given question will be y = -2x + 26.
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What is the equation of the following line? Be sure to scroll down first to see all answer options .
Answer:
f
Step-by-step explanation:
your welcome
How do negative exponents impact the value of a number?
Answer:
A positive exponent tells us how many times to multiply a base number, and a negative exponent tells us how many times to divide a base number. We can rewrite negative exponents like x⁻ⁿ as 1 / xⁿ. For example, 2⁻⁴ = 1 / (2⁴) = 1/16.
A cone has a volume of 37.68cm3. If the height of the cone is 9cm what is the radius of the cone's
base?
cm
Radius:
(Use 3.14)
Answer:
[tex]2cm[/tex]
Step-by-step explanation:
Volume of a cone= [tex]\pi r^2\frac{h}{3}[/tex]
Substitute: [tex]37.68cm^3=\pi r^2(\frac{9}{3})[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex]
[tex]37.68cm^3=\pi r^2(3)[/tex] Divide by 3
[tex]12.56cm=\pi r^2[/tex] Divide by pi
[tex]4cm=r^2[/tex]
[tex]r=\sqrt{4}[/tex]
[tex]r=2[/tex]
Answer for 20 points :)
Answer:
sorry this question is do not understand
Which is the graph of f(x) = x^2- 2x + 3?
Answer:
you didn't give a picture bestie but it'll be kind of money U and it should be up 3 on the graph
96x 3+(9*8) ÷ 126,980 =?
Answer:
288.000567018 or [tex]3(32x^{3} +\frac{3.8}{126980})[/tex]
Step-by-step explanation:
hope this helps
pls mark brainliest
It is recommended that one fire extinguisher be available for every 6,000 square feet inside a building. a school superintendent is working to determine the number of fire extinguishers needed for a school building that has a floor plan with 132,000 square feet. let the variable x represent the number of fire extinguishers.
Simplify the following fraction WITHOUT USING A CALCULATOR tan 45°.sin 30-cot45°
Answer:
tan 45°.sin 30° - cot45° = −(1÷2) = −0.5Step-by-step explanation:
45° Corresponds to (π÷4) which is a remarkable measure
We are all supposed to learn by heart the values of it’s ‘sin’ , ‘cos’ , ‘tan’ and ‘cot’ .
the same apply to 30° (corresponds to (π÷6))
……………………………………………………………
So without a calculator:
tan 45° = 1
cot 45° = 1
sin 30° = 1/2
therefore ,
tan 45°.sin 30° - cot45° = 1 × (1÷2) − 1 = (1÷2) − 1 = −(1÷2) = −0.5
If the first number is increased by 7 and the second number is reduced by 6 times, the sum of these numbers is 29.
If the first number is reduced by 5 and the second number is increased 2 times, the difference between the second and first number is 9.
Find these numbers.
Answer:
First number = 20
Second number = 12
Explanation:
Let the 1st number be x
Let the 2nd number be y
=====================
Condition 1
[tex]\sf \rightarrow x + 7 + \dfrac{y}{6} = 29[/tex]
[tex]\rightarrow \sf x=-\dfrac{y}{6}+22[/tex]
=====================
Condition 2
[tex]\rightarrow \sf 2y - (x - 5) = 9[/tex]
[tex]\rightarrow \sf x = 2y -4[/tex]
=====================
Substitute equations
[tex]\rightarrow \sf -\dfrac{y}{6}+22 = 2y-4[/tex]
[tex]\rightarrow \sf y=12[/tex]
=====================
Find value of 1st number
[tex]\rightarrow \sf x = 2y - 4[/tex]
[tex]\sf \rightarrow x = 2(12) - 4[/tex]
[tex]\rightarrow \sf x = 20[/tex]
Trigonometric ratio
adjacent= 12 cm
angle= 22°
find the opposite side by using tan.
The opposite side of the right angle triangle by using Tan.
Solution:[tex]tan \: 22 = \frac{x}{12} [/tex]
[tex]x = 12 \times tan \: 22[/tex]
[tex]x = 4.8 \: cm[/tex]
Therefore, the opposite side of the right angle triangle is 4.8 centimeters
x/12
x= 12*tan 22
x= 4.8 cm
hope this helps
The polynomial function f(x) = 3x5 – 2x2 7x models the motion of a roller coaster. the roots of the function represent when the roller coaster is at ground level. which answer choice represents all potential values of when the roller coaster is at ground level? begin by factoring x to create a constant term. 0, plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 0, plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7 plus-or-minus one-seventh, plus-or-minus1, plus-or-minus three-sevenths, plus-or-minus3 plus-or-minus one-third, plus-or-minus1, plus-or-minus seven-thirds, plus-or-minus7
The root of the polynomial function f(x) = 3x⁵ - 2x² + 7x is 0
How to determine the roots of the equation?The polynomial function is given as:
f(x) = 3x⁵ - 2x² + 7x
Set the function to 0
3x⁵ - 2x² + 7x = 0
Factor out x
x(3x⁴ - 2x + 7) = 0
Divide both sides by (3x⁴ - 2x + 7)
x = 0
Hence, the root of the equation is 0
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Answer:
B
Step-by-step explanation:
cause math