Step-by-step explanation:
to move 5 units to the right g(x) = f(x-5) to create results for x that would have been created with f(x) 5 units before (to the left).
and to move it up 1 unit we need to add 1 to the function result.
so,
g(x) = f(x-5) + 1 = (x-5)² + 1 = x² - 10x + 25 + 1 = x² - 10x + 26
so, the 4th answer option is correct.
Pls help me number 8 plsssss
Answer:
y=mx+b
m=2/3, b=-2
your answer is B. y=2/3x-2
Step-by-step explanation:
Hope this helps :)
What is the solution of StartRoot 1 minus 3 x EndRoot = x 3 ?.
You can use the formula for finding the roots of a quadratic equation here.
The solution of given equation is: x = -1
What are the solutions of standard form of quadratic equation?The standard form is \(ax^2 + bx + c = 0\)
The solutions are:
\(x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)
How to find the solution of given quadratic equation?To find the solutions, firstly we've to simplify it.
\(\sqrt{1-3x} = x + 3\\ \text{Taking square on both sides}\\ (\sqrt{1-3x})^2 = (x+3)^2\\ 1-3x = x^2 + 9 + 6x\\ x^2 + 9x + 8 = 0\)
Know that we took square.
Also know that \((\sqrt{1-3x})^2 = (-\sqrt{1-3x})^2 = 1-3x\\ \) This is the reason that both roots we will obtain won't belong to our quadratic equation we obtained. Thus, we will have to check which root is correct solution of the obtained quadratic equation.
Thus, we have a = 1, b = 9, c= 8, and thus,
\(x = \dfrac{-9 \pm \sqrt{81 - 32}}{2}\\\\ x = \dfrac{-9 \pm \sqrt{49}}{2}\\\\ x = \dfrac{-9 \pm 7}{2}\\\\ x = \dfrac{-9-7}{2} , \: x = \dfrac{-9+7}{2}\\\\ x = -8, \: x = -1\)
Putting x = -8 doesn't satisfy the equation. But x = -1 does.
Thus, the solution to the given equation is x = -1
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Answer:
c
Step-by-step explanation:
edg
What is this answer please
Answer:
A. The quotient of 2 and a number
Step-by-step explanation:
2n would be 2 multiplied by n
It can also be written as twice a number or double a number or the product of two and a number.
The quotient of 2 and a number would be 2/n therefore the answer is the quotient of 2 and a number
Answer:
A. The quotient of 2 and a number
Step-by-step explanation:
2n would be multiplied not divided.
how to find magnitude of a vector with 3 components
In order to find the magnitude of a vector with three components, use the formula:
|V| = sqrt(Vx^2 + Vy^2 + Vz^2)
where Vx, Vy, and Vz are the components of the vector along the x, y, and z axes respectively.
To find the magnitude, you need to square each component, sum the squared values, and take the square root of the result. This gives you the length of the vector in three-dimensional space.
Let's consider an example to illustrate the calculation.
Suppose we have a vector V = (3, -2, 4). We can find the magnitude as follows:
|V| = sqrt(3^2 + (-2)^2 + 4^2)
= sqrt(9 + 4 + 16)
= sqrt(29)
≈ 5.385
Therefore, the magnitude of the vector V is approximately 5.385.
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What you should call the rational algebraic expression ls that have dissinal denominators
Answer:We will discuss how to reduce a rational expression lowest terms and how ... with a "narrow" screen width (i.e. you are probably on a mobile phone). ... a fraction in which the numerator and/or the denominator are polynomials.
Step-by-step explanation:
If y varies inversely as x, and y = 22 when x = 6, find x when y = 15.
Step-by-step explanation:
y varies INVERSELY as x.
that means
y = k/x
therefore,
22 = k/6
k = 22×6 = 132
and then, when y = 15
15 = 132/x
15x = 132
x = 132/15 = 8.8
Due yesterday
Even if ur sure its correct j send it, ill turn in anything
Answer:
A)8000
B) 1296a^4
C) 9x^2
D)100000000
E)0.00097656
F)x^⁶
G)y^11
Step-by-step explanation:
4. Evaluate f(x) = - 9x + 8 at the given value. f(1)=?
Answer:
-1
Step-by-step explanation:
f(x) = - 9x + 8
f(1) = - 9*1 + 8 = -1
Answer: -1
Step-by-step explanation:
f(1) = -9(1) + 8
f(1) = -9 + 8
f(1) = -1
2(k + 4) = 3(k - 2)
Step by step ( right answer plz)
Answer:
14
Step-by-step explanation:
2(k+4)=3(k-2)
2k+8=3k-6
8+6=3k-2k
k=14
mark brainlist plzz
Answer:
\(2(k + 4) = 3(k - 2) \\ 2k + 8 = 3k - 6 \\ 2k - 3k = - 6 - 8 \\ 1k = - 14 \\ k = - 14\)
Step-by-step explanation:
please mark me brainliest
If you are not a goofy ah please answer this
Answer:
72
Explanation:
First, we can find the top and bottom smaller squares of the rectangular prism. Since we are working with a variety of rectangles, we only need to use the equation L×W.
To start with, let's multiply 2×3, which gives us 6, the surface area of both the bottom and top rectangles, so now we need to multiply it by 2 to account for both of them. 6×2=12
Now, we'll find the surface area of the bigger rectangles in the middle, which are 6 by 3, so again we will need to multiply length times width, then by 2 to count both rectangles. 6×3=18×2=36
Finally, we can find the surface area of the smaller rectangles in the middle, which are 6 by 2. 6×2=12, then multiply by 2 since there are 2 of those rectangles, 12×2=24
Now to find the total surface area, we need to add the gathered surface area from each shape, 12+36+24=72
Justify a Solution The expression -3m - [2m + (5 - m)] + 7 was simplified as 2 - 4m. Without simplifying, explain how you can show that it has been simplified correctly.
Step-by-step explanation:
Given the expression
\(-3m - [2m + (5 - m)] + 7\)
Step one
Firstly we have to open the inner bracket we have
\(-3m - [2m + 5 - m] + 7\)
Step two
we proceed further by opening up the next bracket we have
\(-3m - 2m -5 +m+ 7\)
Step three
we then have to collect like terms of m and rearrange.
\(=-3m - 2m+m -5+ 7\\=-4m+2\\=2-4m\)
Melanie and noah are baking a birthday cake for franceca. The recipe call for 3/4 meauring cup and noah ha a 1/8 meauring cup. Which cup hould they ue
They should use 6 cup of Noah's measuring cup
What are algebraic operations?They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Recipe call = 3/4Noah's cup = 1/8Number of cup = ?Calculating the number of cup the should use:
Number of cup = Recipe call / Noah's cup
Number of cup = (3/4) / (1/8)
Number of cup = 3*8 / 4*1
Number of cup = 24/4
Number of cup = 6
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Correctly written question:
Melanie and Noah are baking a birthday cake for Francesca. The recipe call for 3/4 measuring cup and Noah has a 1/8 measuring cup. Which cup should they use?
Explain how you know when 2 ratios are proportional.
Answer:
Ratios are proportional when they represent the same relationship.
Step-by-step explanation:
Such as: finding equivalent fractions
Answer:
Ratios are proportional if they represent the same relationship.
Step-by-step explanation
One good way to tell is to make them fractions and then reduce them. If the reduced fractions are the same, you ratio is proportional! Good luck !
math help needed for 40 points geometry
Answer:
it is a correspondingangles so
Step-by-step explanation:
20 is the answer I think
Answer:
x=20
Step-by-step explanation:
2x = x + 20
subtract x from both sides
x = 20
2(20) = 20 + 20
40 = 40
please help ! ty sm
Answer:
C.23
Step-by-step explanation:
A. 17mB.15mC.23mD.30m3p^2 +7p=0 solve by factoring
Answer:
p = 0, p = -7/3
Step-by-step explanation:
Pre-SolvingWe are given the following equation:
3p² + 7p = 0
We want to solve the equation by factoring.
Solving
To factor, we want to look for a common term that we can pull out.
You may notice that both terms have 'p' in common, so we can pull out p from both terms.
This will then make the equation:
p(3p + 7) = 0
Now, we can use zero product property to solve the equation.
p = 0
3p + 7 = 0
Subtract.
3p = -7
Divide.
p = -7/3
Our answers are p = 0 and p = -7/3
Which cylinder has a volume of 45% cm³?
Answer:
Right cylinder
Step-by-step explanation:
Right cylinder
Which expressions have a product of 10? Options A. 5/14x14, B. 5/6 x14, C. 3/5 x 20, 2/3 x 15. Please help this assignment is due tomorrow
The expressions that have a product of 10 are:
Option B: 5/6 x 14 = (5/6) * 14 = (514)/6 = 70/6 = 10
Option C: 3/5 x 20 = (3/5) * 20 = (320)/5 = 60/5 = 12
Option A: 5/14 x 14 = (5/14) * 14 = (514)/14 = 70/14 = 5
Option D: 2/3 x 15 = (2/3) * 15 = (215)/3 = 30/3 = 10
So options B and D have a product of 10.
megan shaded 2/8 of the circle what is another way she could write this fraction
Answer:
Step-by-step explanation:
2/8 = 1/4
2/8 = 200/800
and so on.
There are an infinite number of possibilities here.
Answer:
1/4
Step-by-step explanation:
2/8 can be simplified to 1/4
2/8 divided by 2/2 = 1/4
but there are also many other ways
10/40,6/24, etc
Find the total amount you will pay given original price of $24.99and tax rate of 5%
Answer: $26.24
Step-by-step explanation:
Same method
The graph shows the relationship between the cost of some strawberries, y, and the weight of strawberries in pounds, x. Write an equation in slope intercept form to represent this equation.
The equation in slope intercept form to represent the equation is y = 2.5x
Writing the equation in slope intercept form to represent the equation.From the question, we have the following parameters that can be used in our computation:
The graph
On the graph, we have the following points
(x, y) = (0, 0) and (10, 25)
A linear equation is represented as
y = mx + c
Where
c = y when x = 0
So, we have
y = mx + 0
y = mx
Next, we have
25 = 10m
This gives
m = 2.5
So, we have
y = 2.5x
Hence, the equation is 2.5x
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Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
slope is \(\frac{4}{7}\)
Step-by-step explanation:
pls dont guess on it
Answer:
2(8a + 8)
Step-by-step explanation:
The easiest way to do this is to substitute a for a number. For example, let's just make things easy and make a = 1.
So, if a = 1, the expression 16a + 8 would be 16(1) + 8 = 24.
Let's find all the expressions that would also equal 24 if a = 24.
Plug in 1 for a in each of the equations. You will find that 2(8a + 8) will not equal 24 if a equals 1.
2(8a + 8)
2(8(1) + 8
2(8 + 8)
2(16)
32
is the relationship between the time spent swimming and the number of weeks proportional? the points a straight line that through the orgin.
The relationship is proportional because, the points lie on a straight line that goes through the origin.
What is a Proportional Relationship?A relationship that is proportional has a straight line graph that must pass through the origin, whereby the constant of proportionality, k = y/x, where x and y are the variables of the proportional relationship.
An example of a graph that represents a proportional graph is shown in the attachment below. The graph is a straight line graph that passes through (0, 0), which is the origin. The constant of proportionality, k = 21/7 = 3.
Thus, for the relationship between time spent swimming and the number of weeks to be proportional, it means that:
the points lie on a straight line that goes through the origin.
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standard form help me
If f(x)=2(x-3)x4, what is f(-2)? PLEASE HELP ILL GIVE BRAINLIEST
Answer:
-160
Step-by-step explanation:
All you have to do is substitute -2 for all values of x!
Is that last x raised to the power of 4 (looks like \(x^4\))?
If so, the equation is:
\(f(-2)=2(-2-3)(-2)^4\)
2(-5)(16)
-10(16)
-160
Bhavik bought 3 liters of milk and 5 loaves of bread for a total of $11. A month later, he bought 4 liters of milk and 4 loaves of bread at the same prices, for a total of $10
How much does a liter of milk cost, and how much does a loaf of bread cost?
Answer:
Milk costs 75 cents per litre.
Bread costs $1.75 per loaf.
Step-by-step explanation:
eflect ΔECD over segment AC. This establishes that ∠ACB ≅ ∠E'C'D'. Then, ________. This establishes that ________. Therefore, ΔACB ~ ΔECD by the AA similarity postulate.
a. translate point E' to point A; ∠E'D'C' ≅ ∠ABC
b. translate point D' to point A; ∠E'D'C' ≅ ∠BAC
c. translate point D' to point A; ∠D'E'C' ≅ ∠BAC
d. translate point E' to point A; ∠D'E'C' ≅ ∠BAC
(c) translate point D' to point A; ∠D'E'C' ≅ ∠BAC
To establish that ΔACB ~ ΔECD by the AA similarity postulate, we need to show that both pairs of corresponding angles are congruent.
Reflect ΔECD over segment AC: This means we mirror ΔECD across segment AC to create a new triangle, which we'll label ΔE'C'D'.
From the reflection, we can conclude that ∠ACB ≅ ∠E'C'D'. This is because the reflection preserves angles.
Now, we need to translate point D' to point A. Translation means moving an object without changing its shape or size. By translating D' to A, we create a new triangle, which we'll label ΔD'E'C'.
By translating D' to A, we can establish that ∠D'E'C' ≅ ∠BAC. This is because the translation preserves angles.
Therefore, based on the congruent angles we have established: ∠ACB ≅ ∠E'C'D' and ∠D'E'C' ≅ ∠BAC, we can conclude that ΔACB ~ ΔECD by the AA similarity postulate.
So, the correct answer is (c) translate point D' to point A; ∠D'E'C' ≅ ∠BAC.
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Find the distance between the points (7, -4) and (7,5).
Answer:
9
Step-by-step explanation:
find absolute value
what is the probability of filliping 6 pennies at once and they all come up as heads
Answer:
Below
Step-by-step explanation:
There are 2^6 = 64 possible outcomes
only ONE is H H H H H H or 1 /64 = .015625