Answer:
First, let's explain the transformations in a general way:
Vertical shift.
If we have a function f(x), a vertical shift of N units is written as:
g(x) = f(x) + N
This will move the graph of f(x) up or down a distance of N units.
if N is positive, then the shift is upwards
if N is negative, then the shift is downwards.
Horizontal shift.
If we have a function f(x), a horizontal shift of N units is written as:
g(x) = f(x + N)
This will move the graph of f(x) to the right or left a distance of N units.
if N is positive, then the shift is to the left
if N is negative, then the shift is to the right.
Horizontal dilation/contraction.
For a function f(x), an horizontal contraction dilation is written as:
g(x) = f(k*x)
where:
k is called the "scale factor"
If k < 1, then the graph "dilates" horizontally.
if k > 1, then the graph "contracts" horizontally.
Now, in this problem we have:
f(x) = log(x)
And the transformed function is:
g(x) = f(0.25*(x - 5)) + 3
Then, the transformations that take place here are, in order:
Vertical shift of 3 units up:
g(x) = f(x) + 3.
Horizontal shift of 5 units to the right:
g(x) = f(x - 5) + 3
Horizontal dilation of scale factor 0.25
g(x) = f( 0.25*(x - 5)) + 3
replacing f(x) by log(x) we have
g(x) = log(0.25*(x - 5)) + 3.
the expression 7x-3/x+2 is equivalent which of the following
Answer:
x it equal 7.5
Step-by-step explanation:
Plz help me I need tu turn this is by midnight!!
Answer:
The last answer.
Step-by-step explanation:
It looks to be the correct answer because for the one above you can't simplify 27 by 5.
Determine the value for x and y
I’ll give brainliest pls help
Answer:
x = 10 and
[tex]y = 2 \sqrt{29} [/tex]
Step-by-step explanation:
see the explanation in attachment.
hi, i need help in this
Answer:
f(-2)
Step-by-step explanation:
Answer:
- 53, - 207, - 7
Step-by-step explanation:
To obtain f(- 2), substitute x = - 2 into f(x), that is
f(- 2) = - 9(- 2)² + 5(- 2) - 7 = - 9(4) - 10 - 7 = - 36 - 10 - 7 = - 53
(b)
Similarly substitute x = 5 into f(x)
f(5) = - 9(5)² + 5(5) - 7 = - 9(25) + 25 - 7 = - 225 + 25 - 7 = - 207
(c)
f(0) = - 9(0)² + 5(0) - 7 = 0 + 0 - 7 = - 7
Which equation has exactly ONE solution?
Answer: B
Explanation:
What is the area of the trapezoid?
Answer: 1232 inches
Step-by-step explanation:
To find the area of a tropezoid you need to do base x height
in this case the height is 22 inches and the base is 56 inches
height = 22 inches
base = 56 inches
so then you multiply 56 and 22,
56 x 22
= 1232
The area of the trapezoid is 1232 inches.
Hope this helps,
Have a great day,
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I need help with this
Which shows the Distributive Property?
07 x 1 = 7
07 x 3 = 3 X 7
07 x 0 = 0
O (7 X 3) x 6 = 7 x (3 X 6)
07(3 + 6) = 7 * 3+ 7 x 6
> Next Question
Answer:
(7 X 3) x 6 = 7 x (3 X 6)
Step-by-step explanation:
The value which shows the Distributive Property is 07(3 + 6) = 7 * 3+ 7 x 6, the correct option is D.
What is distributive property?The distributive property states that an expression of the form A(B + C) can be solved by a multiplication over addition operation that is
A(B + C) = AB + AC
This property is known by distributive law and applies to subtraction also.
We are given that;
The function
Now,
The distributive property states that a(b + c) = ab + ac for any numbers a, b, and c. This means that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products.
7(3 + 6) = 7 x 3 + 7 x 6
Therefore, by distributive property the answer will be 7(3 + 6) = 7 x 3 + 7 x 6.
Learn more about distributive property here;
https://brainly.com/question/5637942
#SPJ7
What is the most accurate way to find 73% of 38?
Answer:
use a calculator
Step-by-step explanation:
5(3-6x)=4(3x+7)+5x
solve the following equation
Answer:
x=-13/47
Step-by-step explanation:
Given f(x) = –x– 5, solve for a when f(x) = -3.
Answer:
-2
Step-by-step explanation:
f(x) = –x– 5
f(x) = -(-3)– 5
f(x) = 3– 5
f(x) = -2
Answer:
Answer is -2 because - * - = + 3-5=-2
What integer does Point C represent?
Point C:
Answer: i think it represents 1 if that is an answer
Step-by-step explanation:
Answer:
Point C: 1
Step-by-step explanation:
Find the mean of the data plot below.
=============================================
Explanation:
The dot plot indicates we have this data set: {20, 23, 25, 28}
Add up those values to get 20+23+25+28 = 96
Then divide by 4 since there are 4 values being added up here
96/4 = 24
So the arithmetic mean is 24.
Hello I need some help Pls
Answer:
20 songs
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Which term best describes the graph of y = 6 x − 1 ? ILL MARK BRAINLEST SO PLS HELP D:
Group of answer choices
Increasing
Decreasing
Zero slope
Undefined
Answer:
I would say increasing
Step-by-step explanation:
prove me wrong
Eric and james makes valentines cards. Eric has 8 more than james , James has 6 cards , how many cards does erica has ?
Answer
Erica has 14 cards
Step-by-step explanation:
Trevor is studying a polynomial function f(x). Three given roots of f(x) are –7, 2i, and 7. Trevor concludes that f(x) must be a polynomial with degree 3. Which statement is true?
Answer:
P(x) = x³-2ix² - 49x + 98i
Step-by-step explanation:
If the roots of the polynomial P(x) are -7, 2i and 7 then the factors of the polynomial in x is expressed are respectively (x+7), x-2i and x-7
Multiplying the factors together to get the required polynomial function:
P(x) = (x+7)(x-7)(x-2i)
P(x) = (x²-7x+7x-49)(x-2i)
P(x) = (x²-49)(x-2i)
P(x) = x²(x)-x²(2i) - 49x -49(-2i)
P(x) = x³-2ix² - 49x + 98i
Hence the polynomial function with degree 3 is P(x) = x³-2ix² - 49x + 98i
Answer: B
Step-by-step explanation:
edge 2023
Which of these is part of the solution for x>-5?
А.) -15
B.) -6
С.) -5
D.) 5
Answer:
D
Step-by-step explanation:
ABC are all less than -5
Answer:
it is D
Step-by-step explanation:
Kimigayo? Kimi nanda yo?
Answer:
Kimi nanda yo
Step-by-step explanation:
Need help- Find the measure of the angle.
THANK YOU
Answer:
47
Step-by-step explanation:
Remember triangle always equal to 180
180=70+4x-5+6x-15
x=13
4(13)-5
47
Angle A is 47
At a factory, the cost of making different numbers of toothbrushes is shown in the table below. COST OF TOOTHBRUSHES Number of 3 Toothbrushes Cost (dollars) 9 12 $4.50 $9.00 $13.50 $18.00 A linear function models the cost based on the number of toothbrushes made. Which statement about the rate of change of this function is true? A
Answer:
B
Step-by-step explanation:
A 60
B 30
C 1 20
D 15
fastest answer gets brainiest
Answer:
i think it would be A
Step-by-step explanation:
Answer:
B 30
Step-by-step explanation:
The answer is B :)
What is 4[tex]\sqrt{32}[/tex] + 6[tex]\sqrt{50}[/tex] in simplified form?
Answer:
[tex]46\sqrt{2}[/tex]
Step-by-step explanation:
[tex]4\sqrt{32} + 6\sqrt{50} = 4\sqrt{2*2*2*2*2}+ 6\sqrt{2*5*5}\\\\[/tex]
[tex]=4 * 2 * 2*\sqrt{2}+6*5\sqrt{2}\\\\\\=16\sqrt{2}+30\sqrt{2}\\\\= (16 + 30)\sqrt{2}\\\\= 46\sqrt{2}[/tex]
Thanks + BRAINLIST
Need correct answer ASAP
Answer:
O1: b) linear, proportional
O2: a) linear, non-proportional
O3: c) nonlinear
Step-by-step explanation:
Recall that a proportional function can be drawn as a straight line (linear function) through the origin (0,0).
O1 is a proportional function since it is linear and goes through the origin.
O2 has a y-intercept of y = 5; therefore, it is not proportional because it does not go through the origin (0,0), although it is linear.
O3 resembles a quadratic function, which means it's not a linear function (nonlinear).
Write an equation in slope-intercept form for this line .
Answer:
y = 2x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, then
y = 2x + c ← is the partial equation
To find c substitute (3, - 6) into the partial equation
- 6 = 6 + c ⇒ c = - 6 - 6 = - 12
y = 2x - 12 ← equation of line
Answer:
y=2x-12
Step-by-step explanation:
slope=m=y-(-6)/x-3
2=y+6/x-3
y+6=2(x-3)
y=2x-12
Jennifer recently golf scores are shown. What is her mean score, rounded to the nearest tenth?
A.65.5
B.71
C.71.5
D.72.
PLEASE ANSWER
Answer:
72 is the answer I guess..
Is -3 square root 8 rational or irrational
Answer:
irrational
Step-by-step explanation:
if we make a square root of 8. We all know that the product of rational and irrational is always irrational. Hence the product will be irrational.
Solve the equation for y. 2x + 3y = 5
Answer:
y =1
Step-by-step explanation:
2(1) +3(1)=5
2+3=5
Answer:
y=5/3-2/3
Step-by-step explanation:
1. Move the variable to the right-hand side and change its sign
3y=5-2x
2. Divide both sides of the equation by
y=5/3-2/3
What is the value of K?
Answer:
80 degrees
Step-by-step explanation:
180 - 100 = 80
According to Okun's law, if the unemployment rate goes from 7% to 4%, what
will be the effect on the GDP?
A. It will increase by 9%.
B. It will increase by 3%.
C. It will decrease by 9%.
D. It will decrease by 3%.
Answer:
The correct answer is B. According to Okun's law, if the unemployment rate goes from 7% to 4%, the GDP will increase by 3%.
Step-by-step explanation:
Okun's Law establishes a direct relationship between unemployment and the production of a nation. Thus, the higher the unemployment, the lower the production, and on the contrary, the more the unemployment falls, the inversely proportional will be the increase in the country's production.
Thus, if the unemployment rate falls from 7% to 4%, that is, it decreases by 3%, the country's GDP will increase by 3%.
