Answer: I’m thinking the answer is B
Step-by-step explanation:
Transformations are used to move a function from one position to another. The function of g(x) is [tex]g(x) = |\frac x5|[/tex]
Given that:
[tex]f(x) = |x|[/tex]
The rule of a horizontal stretch by factor k is:
[tex](x,y) \to (\frac xk,y)[/tex]
This means that:
[tex]g(x) = f(\frac xk)[/tex]
In this case, [tex]k = 5[/tex]
So, we have:
[tex]g(x) = f(\frac x5)[/tex]
Calculate [tex]f(\frac x5)[/tex]
[tex]f(\frac x5) = |\frac x5|[/tex]
Hence, the function of g(x) is
[tex]g(x) = |\frac x5|[/tex]
Read more about function transformation at:
brainly.com/question/12865301
b^2 + 35 = −12b Solve each equation by factoring
I really need help with understanding this step by step, thank you. I am giving 40 points for this.
Answer:
[tex]b=-5, -7[/tex]
Step-by-step explanation:
We have the equation [tex]b^2+35=-12b[/tex] and we want to solve it by factoring.
First, let's move all the stuff to one side so that the other side is 0. So, let's add [tex]12b[/tex] to both sides. This yields:
[tex]b^2+12b+35=0[/tex]
Let's review how to factor. If we have an equation in the following form:
[tex]ax^2+bx+c=0[/tex]
Where a, b, and c are the coefficients of the variable (in our example, our variable is b), then we must find two numbers, p and q, such that:
[tex]pq=ac \text{ (p times q equals a times c) and}\\p+q=b \text{ (p plus q equals b)}[/tex]
Our equation can be rewritten as:
[tex](1)b^2+(12)b+(35)=0[/tex]
So, our a is 1, b is 12, and c is 35.
Therefore, we need to find two numbers that when multiplied together yields a(c) = 1(35) = 35 and we added together yields b = 12.
From here, we just have to guess and check. We can start by listing all the factors of 35. There aren't in fact that many:
[tex]35: 1\text{ and } 35, 5\text{ and } 7[/tex]
1 + 35 is 36, not 12. However, 5 + 7 is indeed 12. So, our two numbers p and q are 5 and 7.
Now what we've found our two numbers, we substitute the b term for our two numbers. We have:
[tex]b^2+12b+35=0[/tex]
We will substitute 12b for 5b + 7b:
[tex]b^2+5b+7b+35=0[/tex]
From here, we factor by grouping. From the first two terms, factor out a b:
[tex]b(b+5)+7b+35=0[/tex]
And from the last two terms, factor out a 7:
[tex]b(b+5)+7(b+5)=0[/tex]
Now, notice that both terms have a [tex](b+5)[/tex]. So, by using grouping or the reverse of the distribute property, we can write:
[tex](b+7)(b+5)=0[/tex]
Notice that if we distribute the left term into the right, we get [tex]b(b+5)+7(b+5)=0[/tex], so our equation is indeed equivalent.
So now we. have:
[tex](b+7)(b+5)=0[/tex]
We can now use the Zero Product Property to acquire:
[tex]b+7=0\text{ or } b+5=0[/tex]
Solve for b for each case. Therefore, the solutions of our equation are:
[tex]b=-7\text{ or } b=-5[/tex]
Notes:
If we can't find two numbers p and q that satisfy our conditions, this means that the equation cannot be factored. So, we will use alternative methods to solve our equation.
Look at the warm-up document and determine your answer. Explain using a well thought out and complete sentence why you chose your answer
Answer:
The bottom right which I believe is D.
Step-by-step explanation:
All the other lines are increasing meaning they are going upward from left to right. The only one that isn't increasing is D and its decreasing.
What does the y-intercept represent in this scenario?
Answer:
The y-intercept represents the temperature at the start, before any time has passed.
In the scenario, y intercept represents the temperature which starts from 8 °F.
What is graph?A graph is a diagram that depicts the relationship between two variables, usually measured along opposite axes in a pair, is used.
In the given graph,
x-axis shows time in hours,
And y-axis shows temperature in Fahrenheit.
Since, the y-intercepts shows the value where x=0, or the values of y-axis.
In the given graph,
The y-axis shows the temperature.
Therefore, y intercept represents the temperature which starts from 8 °F.
To know more about Graph on:
https://brainly.com/question/17267403
#SPJ2
Ecuación 2:
10x + 20y = 8000
ayudaaa
Answer:
y = 300
x = 200
Step-by-step explanation:
Esta pregunta parece incompleta, parece que acá tenemos un sistema de ecuaciones:
x + y = 500
10*x + 20*y = 8000
Estas ecuaciones tienen que resolverse en conjunto, y de acá sacaremos un par de puntos (x, y) que son solución para ambas ecuaciones.
El primer paso para resolver esto es aislar una variable en una de las ecuaciones, en este caso podemos aislar x en la primera ecuación y así obtener:
x = 500 - y.
Ahora podemos reemplazar eso en la segunda ecuación y obtener:
10*(500 - y) + 20*y = 8000.
Ahora resolvemos esto para y.
5000 - 10*y + 20*y = 8000
10*y = 8000 - 5000 = 3000
y = 3000/10 = 300.
Y sabíamos que:
x = 500 - y = 500 - 300 = 200
Entonces la solución es:
y = 300
x = 200
Name 1 and 2 another name
Answer:
triangle, square, circle, pentagon, and horcux.
jk whats the question
Step-by-step explanation:
Hey there!
Answer:
One, two, three, delta, pi, hexagon, octagon, pentagram....
Step-by-step explanation:
Name another name of what??
Your question doesn't make a lot of sense but I thought that maybe I could share a few really cool shape and number names that maybe you didn't know!
Hope you enjoy!
:D
What is the slope of the line that passes through the points M (-3,5) and N (1,8)
Answer:
m=3/4
Step-by-step explanation:
See the attached above.
Hope it helps :)
The slope of line passing through M (-3,5) & N (1,8) will be 3/4.
We have been given a line passing through points M (-3,5) & N (1,8) .
We have to find out what will be the slope of the line ?
What is the formula for slope of a line ?
Slope of line is given by , m = (y2-y1) / (x2-x1).
Given that line is passing through points M (x1 , y1) and N (x2,y2) or M (-3,5) & N (1,8).
here , x1 = -3 , y1 = 5 , x2= 1 . y2 = 8
The slope (m) of line will be ;
∵ m = ( y2-y1) / (x2-x1)
m = ( 8-5) / (1- (-3))
m = 3 / 4
To learn more about slope of line click here ,
https://brainly.com/question/16949303
#SPJ6
Which statement BEST describes the equation below?
f(x) = 2x + 3
A) It is a relation
B) It is a function
C) It is a one-to-one function
Answer: function
Step-by-step explanation: I'm not totally sure so I hope this helps
7a-3(2a-4) what’s the answer?
Answer:
?
Step-by-step explanation:
Answer:
a+12
Step-by-step explanation:
Distribute the -3 to (2a-4) so you get -6a+12
then it is 7a-6a+12, which is a+12.
If you need an actual number then a+12=0 is a=-12, if you just needed to simplify it, then a+12
Multi Step Problem (Show work!!)
Y + 7 = -2
Answer:
y = -9
Step-by-step explanation:
Step 1: Write equation
y + 7 = -2
Step 2: Solve for y
Subtract 7 on both sides: y = -9Step 3: Check
Plug in y to verify it's a solution.
Substitute: -9 + 7 = -2Add: -2 = -2I need help!!!
-10 = -5 (v-4)
a) 12
b) 6
c) 3
d) -8
What's the answer I need to know?!
Answer:
i think it is B
Step-by-step explanation:
i am not 100% sure
Answer:
B.
Step-by-step explanation:
-10 = -5 (v-4)
-10=-5v+20
-30=-5v
6=v
If I deposit $1500 in my bank account and it increased by 15% at the end
of the year, how much money is now in my bank account
Answer:
$1725
Step-by-step explanation:
15 percent of 1500 = 225 and then you add 225 to 1500, 225 + 1500 = 1725
I need help on these questions who ever answers this question will be the brainliest!!
Find the range for the measure of the third side of a triangle given the measures of the other two sides are 4 and 8
Answer:
4 < x < 12
Step-by-step explanation:
Given 2 sides, then let x be the third side and
difference of 2 sides < x < sum of 2 sides , that is
8 - 4 < x < 8 + 4
4 < x < 12
Which is an equation of a line with a slope of 1/2 that contains the point (-4,7)?
What is the value of (-5) the power of 4
Answer:
625
Step-by-step explanation:
(-5)^4 = 625
In what form is an equation that relates two proportional quantities x and y? Explain your thinking.
Answer:
A proportional relationship exists between two values x and y when they can be expressed in the general form. Hope this helps
Step-by-step explanation:
What is the percent of change in the cost of a DVD set that originally sold for $49.99 and is now
on sale for $24.99? Round to the nearest percent.
Answer:
50% decrease
Step-by-step explanation:
49.99 - 29.99 = 25
25
---- = 0.5(100) = 50%
49.99
Answer: I dont know witch one you want me to round so I will do both. $49.99 = $50.00 and $24.99 = $25.00 and if you want to add them it would be $75.00
12a^3b^2c
A: The degree is 6
B: The degree is 3
C: The degree is 4
D: The degree is 5
Answer:
b. the degree is 3
Step-by-step explanation:
degree is the highest exponent
(04.05)Erika calculated that she would spend $115 on school supplies this year. She actually spent $82.50 on school supplies. What is Erika’s percent of error?
28.3%
2.8%
39.4%
32.5%
Answer:
28.3
Step-by-step explanation:
A basketball hoop has a
diameter of approximately
18 inches. What is the
circumference of the
basketball hoop?
The perimeter of the basketball hoop is 18π inches.
The circumference of a circle can be found using the formula:
C = πd
where C is the circumference and d is the diameter of the circle.
In this case, the diameter of the basketball hoop is approximately 18 inches. So we can plug this value into the formula to get:
C = π(18)
Using a calculator or approximating π to 3.14, we can evaluate this expression to get:
C ≈ 56.52 inches
Therefore, the circumference of the basketball hoop is approximately 56.52 inches.
Learn more about perimeter here:
https://brainly.com/question/6465134
#SPJ1
3^3 / 3^-4 = ?
Will mark brainliest plz hurry
Answer:
[tex]2187[/tex]
Step-by-step explanation:
[tex]\frac{3^3}{3^-^4}[/tex]
When attempting to solve this, we have to consider the exponent rule of fractional exponents:
[tex]\frac{x^a}{x^b} =x^a^-^b[/tex]
Therefore, our initial problem would become:
[tex]3^3^-^(^-^4^)\\[/tex]
Two negatives become positive:
[tex]3^3^+^4[/tex]
Add:
[tex]3^7[/tex]
[tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex] × [tex]3[/tex]
[tex]= 2187[/tex]
Find the slope of the line going through the points (-4, 2) and
(3,5).
Answer:
The answer is 3/7
Step-by-step explanation:
I NEED A ANSWER ASAPP!!!!!
A linear regression has a correlation coefficient of r=0.82
. Would this be a good correlation coefficient? What is the best value you could have for a correlation coefficient? Explain your reasoning completely.
Answer:
not very good
Step-by-step explanation:
the correlation should be almost 1 to be a good representation of the data. 0.82 isn't very close. This would be a pretty "rough" approximation at best. Maybe that's all that's needed but usually something close to 1.. like 0.99 is needed.
Lois Lane leaves Metropolis driving 50 km/h. Three hours later, Superman leaves Metropolis to catch up to her, flying at 300 km/h.
When does Superman catch up with Lois?
Superman will catch up ____ hours after Lois left Metropolis.
Answer:
0.6 hours
Step-by-step explanation:
50t=300(t-3)
50t= 300t - 900
-250t=-900
t=3.6
dont forget to subtract supermans time as well
3.6-3= 0.6
Answer:
0.6 hours
Step-by-step explanation:
Solve for x. Show your work: x + 3 = 12
Answer:
x=9
Step-by-step explanation:
The objective is to get x by itself, so to do that we need to subtract three from both sides:
x + 3 = 12
-3 -3
12-3= 9.
So, x=9.
Hope this helped!
Answer: x=9
x+3=12
1x+3=12
-3
=9
1x =9 ---> 1x/1 9/1
/1 /1 ---> 1x/1 9/1
x=9
Step-by-step explanation:
sorry if this doesn't make sense
Find the measure of 1 in the figure, shown to the right.
Answer:
∠1 = 81°
Step-by-step explanation:
∠1 and 81° are corresponding angles and corresponding angles are equal to each other.
The measure of ∠1 in the figure is 81°.
What are Angles?Angles are the figure formed by the intersection of two lines or rays by sharing a common point. This point is called the vertex of the angle.
Angles are usually measured in degrees or radians.
Given is a figure of two parallel lines which is cut by a transversal line.
There are many properties for the angles formed by the transversal lines.
One of the property is that corresponding angles are equal.
Corresponding angles are the pair of angles which are on the same side of each parallel lines and at the same side of the transversal but at different intersections.
In the given figure,
∠1 and 81°, ∠3 and ∠7, ∠2 and ∠6, ∠4 and ∠8 are corresponding angles.
Since ∠1 and 81° are corresponding angles ∠1 = 81°.
Hence, measure of angle 1 is 81 degrees.
To learn more about Angles, click on the link :
https://brainly.com/question/13954458
#SPJ2
A 2-column table the first column is labeled Minutes per Week of Moderate/Vigorous Physical Activity with entries 30, 90, 180, 330, 420. The second column is labeled Relative Risk of Premature Death with entries 1, .8, .73, .64, .615.
According to the data, how does a persons relative risk of premature death change in coloration to changes in physical activity?
The risk of dying prematurely increases as people become more physically active.
The risk of dying prematurely does not change in correlation to changes in physical activity.
The risk of dying prematurely declines as people become more physically active.
The risk of dying prematurely declines as people become less physically active
Answer:
its c on edge
Step-by-step explanation:
Answer:
C. The risk of dying prematurely declines as people become more physically active.
Explanation: This is the correct answer on Edge 2021, just did the assignment. Hope this helps ^-^.
Please help! Will give brainliest!
Answer:
D.5
Step-by-step explanation:
4*5=20
8*5=40
12*5=60
..etc
brainliest?
Name a segment that is perpendicular to segment AB.
G
E
A
D
H
F
B
С
Answer:
BC
Step-by-step explanation:
382.993 to the nearest hundredth
Answer:
That number rounds to the nearest hundredth to this number: 382.99