Answer:
15Step-by-step explanation:
Let the number is x, then we have:
6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15What is an equation of the line that passes through the points (-2,8) and (1, -1)?
Answer:
y = -3x + 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - 8 / 1 - (-2)
-9/3
= -3
y = -3x + b
-1 = -3(1) + b
-1 = -3 + b
2 = b
Can someone help me please!
Answer:
[tex] \sqrt{ - 147} = \sqrt{147} \times \sqrt{ - 1} = 7i \sqrt{3} [/tex]
I hope I helped you ^_^
The answer ; √ –108 = √108 × √–1 = 6i √3
You are setting out snacks for some friends to come over. You have 18 crackers and 12 slices of cheese. If you want each plate to be identical, with no food left over, what is the greatest number of plates you can prepare? How many crackers will be on each plate? How many slices of cheese will be on each plate?
The concept of greatest common factor is used to solve this question. Then, we use it to find the number of crackers and slices of cheese, and the answer is:
The greatest number of plates you can prepare is 6.Each plate will have 3 crackers.Each plate will have 2 slices of cheese.--------------------------------
To find the greatest number of plates, you need to find the greatest common factor between 12 and 18.
Thus, factoring them, always by the same number:
12 - 18|2
6 - 9|3
2 - 3
The greatest common factor is 2x3 = 6, which means that the greatest number of plates you can prepare is 6.
--------------------------------
18 crackers, so each plate has 18/6 = 3 crackers.
12 slices of cheese, so each plate has 12/6 = 2 slices of cheese.
A similar question is given at https://brainly.com/question/18454593
ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
Natalie and Lexi are recycling aluminum cans to earn money for camp. Natalie's barrel of cans weighs 115 lb., and Lexi's barrel of cans weighs 98 lb. If the barrels each weigh 8 lb. when empty, how many pounds of cans have they collected?
Answer:
197 pounds of cans
Step-by-step explanation:
Find how many pounds of cans they have collected by subtracting 8 from both of their barrel weights:
115 - 8
= 107
98 - 8
= 90
Add these two weights together:
107 + 90
= 197
So, they collected 197 pounds of cans
STEM The diagram shows the structure of a molecule of sulfur dioxide. The ratio of oxygen atoms to sulfur atoms in sulfur dioxide is always the same. How many oxygen atoms (O) are there when there are 6 sulfur atoms (S)? Explain how you got your answer.
The ratios of oxygen atom and sulfur atom is an illustration of equivalent ratios.
There are 12 oxygen atoms, when the number of sulfur atom is 6.
From the diagram, we have:
[tex]S = 1[/tex]
[tex]O_x = 2[/tex]
So, the ratio is:
[tex]S : O_x = 1 : 2[/tex]
When there are 6 sulfur atoms, the equation becomes
[tex]6 : O_x = 1 : 2[/tex]
Express as a fraction
[tex]\frac{O_x}{6}= \frac{2}{1}[/tex]
Multiply both sides by 6
[tex]O_x = 2 \times 6[/tex]
[tex]O_x =12[/tex]
Hence, there are 12 oxygen atoms
Read more about equivalent ratios at:
https://brainly.com/question/18230617
13. please help with this
Answer:
Looking at the question and goin step by step
we get to know that equation formed wud be ->
product of nine and a number - 9*x = 9x
added to 6 => 9x+6
gives us 24
so
9x + 6 = 24
now 9x = 18 and x = 18/9 = 2
and now keeping x value = 9 *(2)+6 we get 18+6 = 24
so lhs = rhs = 24
9x+6=24 option a
Todd is putting new oak baseboard trim in his living room. He has one piece that is 12 1/2 ft long and another that is 8 2/3 ft long. How much trim does he have total?
Answer:
21 1/6 ft
Step-by-step explanation:
Add the lengths together
12 1/2 + 8 2/3
Get a common denominator of 6
12 1/2 *3/3 + 8 2/3 *2/2
12 3/6 + 8 4/6
20 7/6
20 +6/6+1/6
21 1/6
In an input/output table, all outputs are 0, regardless of the input. What could the function equation be? Select all that apply.
y = 0 x
y = x
y = x/0
y = 0/x
Answers:
choice A) y = 0x
choice D) y = 0/x
========================================================
Explanation:
Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.
Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.
So for any nonzero x, we have 0x and 0/x result in the same thing.
-----------
Extra info:
Choice B can be ruled out because something like x = 2 leads to y = 2.
Choice C is ruled out because we can never have 0 in the denominator.
The equations y=x22−8 and y=2x−2 are graphed below. What are the solutions to the equation x22−8=2x−2?
A
x=−8 and x=−2
B
x=−6 and x=10
C
x=−4 and x=4
D
x=−2 and x=6
Answer:
x= -2 and x = 6
Step-by-step explanation:
The solutions are where the two graphs intersect
x=6, y= 10 is one point
x=-2 and y = -6 is the other point
The intersection points of both the equations are the solutions
From the graph the points are
(6,10)(-2,-6)Hence
x=-2 and x=6 are the solutions
Option D
Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality
Answer:
C. Divide both sides by 3
Step-by-step explanation:
3x=12
3x/3=12/3
x=4
Solve the equation.
3х - 6 = 6x - 9
Answer:
x=1
Step-by-step explanation:
3х - 6 = 6x - 9
Subtract 3x from each side
3х-3x - 6 = 6x-3x - 9
-6 = 3x-9
Add 9 to each side
-6+9 = 3x-9+9
3 =3x
Divide by 3
3/3 = 3x/3
1 =x
Answer:
3x-6=6x-9
3x-6x=-9+6
-3x=-3
-3x÷-3=-3÷-3
x=1
Find the measure of the indicated angle to the nearest degree
Answer:
16 degrees
Step-by-step explanation:
Tan(?) = perpendicular/base
Tan(?) = 13/46
?=arctan(13/46)=16
if p(x) = x²+4x-3,then evaluate p(2)-p(-1)+p(1÷2)
Answer:
2
Step-by-step explanation:
I need help for this question!!
Part (i)
We start with five dots to make the pattern in figure 1.
In figure 2, we add on 1 dot to each arm of the X shape. So that means we've added 4 dots total going from 5 to 5+4 = 9 dots.
In figure 3, there are 9+4 = 13 dots
So the pattern is simply "add 4" to get the next term. Again, this is because we add one dot per arm.
The first three terms of this arithmetic sequence are: 5, 9, 13
Your teacher wants to know what the general nth term is
We start with a = 5 and the common difference is d = 4
T(n) = nth term
T(n) = a + d(n-1)
T(n) = 5 + 4(n-1)
T(n) = 5 + 4n - 4
T(n) = 4n + 1
Let's try it out. Say we want to plug in n = 2
T(n) = 4n + 1
T(2) = 4(2) + 1
T(2) = 8 + 1
T(2) = 9
This works because the second figure indeed has 9 dots. I'll let you confirm the other figures.
Answer: 4n + 1============================================================
Part (ii)
Your teacher wants to know how many dots occur when n = 50
T(n) = 4n + 1
T(50) = 4(50)+1
T(50) = 200 + 1
T(50) = 201
Verifying this through drawing dots is going to be a very tedious task, and I don't recommend it unless you really want to. Hopefully the verification process of T(2) = 9, and similar (for small values of n) is enough to convince you that this equation works as intended.
Answer: 201I need help solving
Multiply. Write your answer in scientific notation
Answer:
3×3×10^5×10^2
9×10^5-2
9×10³
work out the values of a and b in the identity 5(7x + 8) + 3(2x + b) = ax+ 13
will give brainiest!!!
Answer:
a=41 b=-9
Step-by-step explanation:
By expanding the brackets on the left hand side of the equation you get,35x + 40 + 6x + 3b and by simplifying you get 41x + 40 + 3b.by comparing the x and constant terms on either side you find that a = 41, and3b + 40 = 13, rearranging b = -9.
Answer from Gauth math
Answer:
Hello,
Step-by-step explanation:
We are going to use identification of terms.
[tex]5(7x+8)+3(2x+b)=ax+13\\\\35x+40+6x+3b=ax+13\\\\41x+40+3b=ax+13\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\3b+40&=&13\\\end{array}\right.\\\\\\\Longrightarrow \left\{\begin{array}{ccc}a&=&41\\b&=&-9\\\end{array}\right.\\\\[/tex]
Produced by myself
For all of the Following use the function LaTeX: P\left(x\right)\:=\:\left(x+3\right)^2+2 . My original vertex is
Answer:
A) Q(x) = (x + 3)² + 5, and the vertex is (-3, 5)
B) R(x) = (x - 3)² + 2, and the vertex is (3, 2)
C) S(x) = (x - 1)² - 5, and the vertex is (1, -5)
Step-by-step explanation:
The given function is P(x) = (x + 3)² + 2
The given function is a parabolic function in vertex form, f(x) = a·(x - h)² + k, and vertex, (h, k)
By comparison, the vertex of the function P(x) = (x + 3)² + 2 is (-3, 2)
A) A function f(x) translated α units UP gives
f(x) (translated α units UP) → f(x) + α
A translation of the function 3 units UP is given by adding 3 to the given function as follows;
Q(x) = P(x) + 3
∴ Q(x) = (x + 3)² + 2 + 3 = (x + 3)² + 5
Q(x) = (x + 3)² + 5, and the vertex by comparison to f(x) = a·(x - h)² + k, and vertex, (h, k) is (-3, 5)
B) A function f(x) translated b units RIGHT gives;
f(x) translated b units right → f(x - b)
∴ P(x) = (x + 3)² + 2 translated 6 units RIGHT gives;
P(x) = (x + 3)² + 2 (translated 6 units RIGHT) → R(x) = (x + 3 - 6)² + 2 = (x - 3)² + 2
R(x) = (x - 3)² + 2, and the vertex by comparison is (3, 2)
C) A function translated α units DOWN and b units RIGHT is given as follows;
[tex]f(x) \ translated \ by\ \dbinom{b}{a} \rightarrow f(x - b) - a[/tex]
Therefore, the given function, P(x) = (x + 3)² + 2, translated 7 units DOWN and 4 units RIGHT gives;
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow P(x - 4) - 7 = S(x)[/tex]
S(x) = P(x - 4) - 7 = (x + 3 - 4)² + 2 - 7 = (x - 1)² - 5
[tex]P(x) = (x + 3)^2 + 5 \ translated \ by\ \dbinom{4}{-7} \rightarrow (x - 1)^2 - 5= S(x)[/tex]
S(x) = (x - 1)² - 5, and the vertex by comparison is (1, -5)
Evaluate the piecewise function at the indicated values from the domain:
In this question, we given a piece-wise function, that has different definitions depending on the domain.
Evaluate the function at x = 0.
The exercise asks for us to evaluate the function at [tex]x = 0[/tex]
We have to look at the definition, and see which definition includes [tex]x = 0[/tex]. The equal sign at [tex]x = 0[/tex] is on the second definition, that is:
[tex]f(x) = 1, 0 \leq x < 2[/tex]
Thus, at [tex]x = 0[/tex], the value of the function is 1, and the correct answer is given by option A.
For another example of evaluation of a piece-wise function, you can check https://brainly.com/question/17966003
All points of the step function f(x) are graphed.
On a coordinate plane, a step graph has horizontal segments that are each 2 units long. The left end of each segment is an open circle. The right end of each segment is a closed circle. The left-most segment goes from (negative 4, 1) to (negative 2, 1). Each segment is 1 unit higher and 2 units farther to the right than the previous segment. The right-most segment goes from (2, 4) to (4, 4).
What is the domain of f(x)?
{x| –4 < x ≤ 4}
{x| –3 < x ≤ 4}
{x| 1 < x ≤ 4}
{x| 2 < x ≤ 4}
Answer:
A. {x| –4 < x ≤ 4}
Step-by-step explanation:
Answer:
{x| –4 < x ≤ 4}
Step-by-step explanation:
Edge Quiz 2023
There are 45 pupils in a competition. 2/5 of the pupils are girls. How many boys are there in the competition?
Answer:
45 * 3/5 = 135/5 = 27
Step-by-step explanation:
A. A polynomial of the 5th degree with a leading coefficient of 3 and a constant of 2.
Factor X squared minus 2X -80
Answer:
(x - 10)(x + 8)
Step-by-step explanation:
x² - 2x - 80
Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)
The factors are - 10 and + 8 , since
- 10 × 8 = - 80 and - 10 + 8 = - 2 , then
x² - 2x - 80 = (x - 10)(x + 8)
If two lines represent the same line, then what is the nature of its solution?
Step-by-step explanation:
If a consistent system has exactly one solution, it is independent . If a consistent system has an infinite number of solutions, it is dependent . When you graph the equations, both equations represent the same line. If a system has no solution, it is said to be inconsistent .
Answer:
Infinite
Step-by-step explanation:
Solution between 2 lines is considered the point of their intersection. Now, since two lines are same (not only parallel but same), it tends to have infinite solutions.
a^2/9=b^2/16 and a^2+b^2=100
Answer:
a=6 and b=8
Step-by-step explanation:
a^2=(9/16)b^2. Substitute this in the second equation, you get b^2+b^2*(9/16)=100, b^2=100*16/25=8 and a=6
(8
10-7) - (-6.25 • 10-2)
Answer:
362
(8
10-7) - (-6.25 • 10-2)
√4x+9 = 1-√2 giải phương trình
Step-by-step explanation:
here's the answer to your question
Answer:
x = -4.7
Step-by-step explanation:
√4x+9 = 1-√2
2x + 9 = 1 - √2
2x = -8 - √2
2x / 2 = -8 - √2 / 2
x = -4.7
helppppppppppppppppppp helppppppppppppp
HOPE ITS HELPFUL ^_^
•RHONA1. David and Darlene Jasper have one child, Sam, who is 6 years old (birthdate July 1, 2013). The Jaspers reside at 4639 Honeysuckle Lane, Los Angeles, CA 90248. David's Social Security number is 577-11-3311, Darlene's is 477-98-4731, and Sam's is 589- 22-1142. David's birthdate is May 29, 1986 and Darlene's birthday is January 31, 1988. David and Darlene's earnings and withholdings for 2019 are: David: Earnings from Apple Company (office man
Answer:
hi
Step-by-step explanation:
