When the function f(x) = 4(2)x is changed to f(x) = 4(2)x − 13, what is the effect? (5 points)
a
There is no change to the graph because the exponential portion of the function remains the same.
b
The x-intercept is 13 spaces higher.
c
The y-intercept is 13 spaces lower.
d
All input values are moved 13 spaces to the left.
Answer: C. The y-intercept is 13 spaces lower.
Step-by-step explanation:
Answers in case you cant see them:
-3
-7
-11
11
Answer:
Step-by-step explanation:
8x-9+2+9x=180 degree(being co interior angles)
17x-7=180
17x=180+7
x=187/17
x=11 degree
Answer:
11
Step-by-step explanation:
consecutive interior angles always equal to 180 degrees, so you would add both equations together and equal it to 180 degrees. you would then simplify and solve.
8x-9 + 2+9x = 180
-7 + 17x = 180
-7+7 180+7 = 187
17x = 187
17x/17 = 187/17
x=11
Help me please I really need it
Answer:
2
Step-by-step explanation:
To find the average rate of change, we use:
[tex]\frac{changeofy}{changeofx} =rate ofchagne[/tex]
To find this lets look at the graph.
We see that at x=2, y=-3, and at x=3, y=-1.
The change of y is the first y coordinates minus the second, which in this case is:
-3-(-1)=-2
Change is the absolute value of the 1st and 2nd y. So its really a change of 2, not -2.
Our change of x falls under the same formula, being:
2-3=-1, but really being 1.
Now to plug this into our first formula:
2/1=2
So the rate of change is 2.
This seems to be your first answer.
Hope this helps!
Write the equation of the graph below.
Answer:
-x²+8x-15
Step-by-step explanation:
There are two solutions: 3 and 5
First, let's write the equation in this form (pay attention, the parabola here is going up so it won't be like your graph):
(x-3)(x-5)
For resolve our problem, let's re-write it with a minus before:
-(x-3)(x-5)
You can also expand it and the result will be like this:
-x²+8x-15
what is the inverse of the function f(x) = 4x^3 - 9
Answer:
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
Step-by-step explanation:
Finding the inverse of a function is essentially doing a given function in backwards order. An easy trick to doing such is to treat the evaluation (f(x)) like a variable. Think of the function as an equation, then solve the function for (x) in terms of (f(x)).
[tex]f(x)=4x^3-9[/tex]
Inverse operations,
[tex]f(x)=4x^3-9\\\\(f(x))+9=4x^3\\\\\frac{((f(x))+9)}{4}=x^3\\\\\sqrt[3]{\frac{(f(x))+9}{4}}=x[/tex]
Now put this in the form of an inverse function, switch the places of the terms (x) and (f(x)), remember to indicate that it is an inverse function,
[tex]f(x)^-^1=\sqrt[3]{\frac{x+9}{4}}[/tex]
evaluate 9^-1/2
help
Answer:
1 /3
Step-by-step explanation:
We know that a^-b = 1/a^b
9^-1/2 = 1/9^1/2
The sqrt (9) =3
1 /3
Please help me I need to answer this before tomorrow!
Answer:
Quadrant IV or D
Step-by-step explanation:
It is Quadrant IV or D, since it is a positive x (meaning it must be 1 or 4) and it has a negative y (so 3 or 4). You then find the common answer which is 4 or IV.
y = one-third (x + 2)
Answer:
Step-by-step explanation:
according to the question equation is
y=1/3*(x+2)
y=x+2/3
If line segment PB = 12 cm, the area of sector ACB = ? cm2 (rounded
to the nearest cm2).
Answer:
:)
Step-by-step explanation:
PB , radius = 12cm
[tex]Area = \pi r^2 \frac{\theta}{360}[/tex]
[tex]= \pi \times 12^2 \times \frac{74}{360}\\\\=92.99 \ cm^2\\= 93 \ cm^2[/tex]
Help please guys thankyouu
You have the right idea so far, but you forgot to finish it up.
Point slope form is
y - y1 = m(x - x1)
where m is the slope, and (x1,y1) is the point the line goes through. As you can see, we have infinitely many choices for (x1,y1). If you use the y intercept point (0,5), then
y - y1 = m(x - x1)
y - 5 = -1(x - 0) ..... this is one of infinitely many possible answers
OR
If you use the point (2,3), then we'd say
y - y1 = m(x - x1)
y - 3 = -1(x - 2) ..... which is another possible answer
There are infinitely many other choices, but I'm only picking the points in which your teacher has shown as big dots.
By the way, nice work on getting the correct answer for the slope-intercept form.
Step-by-step explanation:
(0,5)and (2,3)
[tex] m = \frac{y1 - y2}{x1 - x2} \\ = \frac{5 - 3}{0 - 2} \\ = - 1 \\ \\ m = - 1 \\ substitude (0,5)or (2,3) \\ substitude \: (0,5)for \: convenience \\ y = - 1x + b \\ 5 = b \\ y = - x + 5[/tex]
Brianliest please~
Mr. Kevin pays $37.95 per month for his cell phone with unlimited minutes. At this rate, what will his cellphone
cost for the year
Answer:
$455.4 For The Year
Step-by-step explanation:
Kevin pays $ 37.95 per month for his cell phone with unlimited minutes
First, We know that there are 12 months in 1 year.
Therefore, 1 year = 12 months
The cost per month = $ 37.95
So, have to find the cost for 12 months
Cost for 12 months = 12 x 37.95
Cost for 12 months = 455.4
So your solution to the problem is $455.4 Cost for the year.
Los números 0, 4, -2, -1 ordenados de mayor a menor 4, .1, -.2 ,0 4, 0 -2, -1 .1,.2,0, 4 4, 0, -1, -2
Answer:
opción D
Step-by-step explanation:
El número más bajo es -2
Número mayor que -2 es -1
Número mayor que -1 es 0
Número mayor que 0 es 4
Entonces, el orden de mayor a menor es 4> 0> -1> -2
Por tanto, la opción D es correcta
Which of the following uses the reciprocal property to rewrite x/12 = 32/18 ?
Answer: A
Step-by-step explanation:
x/32 = 18/13
Find the value of x. Write your answer in simplest form.
Answer:
X=8
Step-by-step explanation:
[tex](8 \sqrt{2} ) ^{2} = {x}^{2} + {x}^{2} \\ 128 = 2 {x}^{2} \\ {x}^{2} = \frac{128}{2} \\ {x}^{2} = 64 \\ x = 8[/tex]
A reindeer runs 2014 miles in 3 hours. At that rate, how many miles does it run in 1 hour?
Answer:
about 671 miles
Step-by-step explanation:
2014m=3h
2014/3= about 671 miles an hour
Answer:
671.33 repeating
Step-by-step explanation:
2014/3=671.33
Help needed only if you can explain!!
Answer:
The probability is 1/41664.
To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.
Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.
Solve the equation to find where the treste ground levelEnter your answers from least to greatest and round to the nearest The meets the ground at and
Answer:
The trestle meets ground level at 0.875 units and 9.125 units
Step-by-step explanation:
Poorly formatted question.
The given equation is:
[tex]y = -x^2 + 10x - 8[/tex]
Required
The point where the trestle gets to the ground level
To do this, we set [tex]y = 0[/tex]
So, we have:
[tex]-x^2 + 10x - 8 = 0[/tex]
Multiply through by -1
[tex]x^2 -10x + 8 = 0[/tex]
Solve using quadratic formula:
[tex]x= \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]
Where:
[tex]a = 1; b =-10; c = 8[/tex]
So, we have:
[tex]x= \frac{-(-10) \± \sqrt{(-10)^2 - 4*1*8}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± \sqrt{68}}{2*1}[/tex]
[tex]x= \frac{-(-10) \± 8.25}{2}[/tex]
[tex]x= \frac{10 \± 8.25}{2}[/tex]
Solve the fraction
[tex]x= 5 \± 4.125[/tex]
Split
[tex]x= 5 + 4.125\ or\ x= 5 - 4.125[/tex]
[tex]x= 9.125\ or\ x= 0.875[/tex]
What is the range of the function in this table?
х y
1 2
2 4
3 3
4 2
a. (1,2), (2,4), (3,3), (4,2)
b. (1,2)
c. {1,2,3,4}
d. {2,3,4}
Answer:
4 is the range of the function
plzz ans quick now plzz plzz plzz
Rational
OPTION A is the correct answer
Answer:
A is the correct answer! :)
Step-by-step explanation:
have a nice day!~
SOMEBODY PLEASE HELP ME!
9*__=33?
Answer:
11/3
Step-by-step explanation:
Step 1:
Start by setting it up with the divisor 33 on the left side and the dividend 9 on the right side like this:
3 3 ⟌ 9
Step 2:
The divisor (33) goes into the first digit of the dividend (9), 0 time(s). Therefore, put 0 on top:
0
3 3 ⟌ 9
Step 3:
Multiply the divisor by the result in the previous step (33 x 0 = 0) and write that answer below the dividend.
0
3 3 ⟌ 9
0
Step 4:
Subtract the result in the previous step from the first digit of the dividend (9 - 0 = 9) and write the answer below.
0
3 3 ⟌ 9
- 0
9
You are done.
The answer is the top number and the remainder is the bottom number.
Therefore, the answer to 9 divided by 33 calculated using Long Division is:
0
9 Remainder
PLS HELP QUICKKK its almost due
I think its the second one. I hope it is
Which data set has high consistency and low variability? Why?
There are ____ legs for every 4 ears
Answer:
there are 8 for any four leg creatures : there are 4 for a human
Step-by-step explanation:
Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?
A. a bar graph
B. a circle graph
C. a histogram
D. a line graph
Answer:
I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.
Step-by-step explanation:
I hope this helped let me know!
please help calculate
Step-by-step explanation:
the answer is in the above image
Help plsss!
find the area of the shaded region
why can’t these lines be marked parallel ?
Answer:
there not the same and eqjral
Step-by-step explanation:
y-6=4(x+5) what is y and x intercept?
Answer:
x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)
Step-by-step explanation:
First find the x intercept
To find the x intercept, substitute 0 for y and solve for x.
[tex](0)-6=4(x+5)[/tex]
Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]
[tex]4(x+5)=(0)-6[/tex]
Subtract 6 from 0.
[tex]4(x+5)=-6[/tex]
Divide each term in [tex]4(x+5)=-6[/tex] by 4.
[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]
Cancel the common factor of 4.
[tex]x+5=\frac{-6}{4}[/tex]
Simplify [tex]\frac{-6}{4}[/tex]
[tex]x+5=-\frac{3}{2}[/tex]
Subtract 5 from both sides of the equation.
[tex]x=-\frac{3}{2} -5[/tex]
To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]
[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]
Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].
[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]x=\frac{-3-5*2}{2}[/tex]
Simplify the numerator.
[tex]x=\frac{-13}{2}[/tex]
Move the negative in front of the fraction.
[tex]x=-\frac{13}{2}[/tex]
x = [tex](-\frac{13}{2} ,0)[/tex]
-----------------------------------------------------------------------------------------------------
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.
[tex]y-6=4((0)+5)[/tex]
Add 0 and 5.
[tex]y-6=4 *5[/tex]
Multiply 4 by 5.
[tex]y-6=20[/tex]
Add 6 to both sides of the equation.
[tex]y=20+6[/tex]
Add 20 and 6.
[tex]y=26[/tex]
y = (0, 26)
Please help me i dont understand
Answer:
Your answer is 15.
Step-by-step explanation:
I've done this before and got it right
Answer:
Step-by-step explanation:
pythagoras theorem
a^2+b^2=c^2
15^2+8^2=missing side^2
225+64=missing side^2
[tex]\sqrt{289[/tex]=missing side
17=missing side
Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form.
Answer:
the graph has a positive slope with a y-intercept of 5
y = 1/4x + 5
Step-by-step explanation:
i found the slope by using points (0,5) and (4,6)
slope formula says to subtract the y-values and divide by difference of x-values:
(6-5) / (4-0) = 1/4