Answer:
-x + 5y + 7
-This should be the answer
the curve with the equation y=8x^2 + 2/x has one turning point.
Find the coordinates of this turning point.
Answer:
(1/2, 6).
Step-by-step explanation:
Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.
We have:
[tex]\displaystyle y=8x^2+\frac{2}{x}[/tex]
Take the derivative of both sides with respect to x:
[tex]\displaystyle y^\prime=16x-\frac{2}{x^2}[/tex]
Simplify:
[tex]\displaystyle y^\prime=\frac{16x^3-2}{x^2}[/tex]
We will now set this equal to 0 and solve for x. Hence:
[tex]\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}[/tex]
Hence, the graph turns at x=1/2. This is the x-coordinate.
Then it follows that the y-coordinate will be:
[tex]\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}[/tex]
Hence, our coordinate Is (1/2, 6).
help me answer it pelase
Answer:
No
Step-by-step explanation:
9=5(-5)-4
9=-10-4
9=-14
Which is the graph of f(x) = x2 – 2x + 3?
Answer:
The correct answer is:
The graph will be the same width as the parent graph f(x) = x², but the vertex has been shifted to (1, 2).
Step-by-step explanation:
Since the value of a, the coefficient of x², is 1, this means the graph has not been stretched or shrunk. However, since the function is different than f(x)=x², we know that the vertex is not at (0, 0). We can write the function in vertex form to find the new vertex.
To write the function in vertex form, we find the value of b/2. The value of b in this function is -2; -2/2 = -1. We then square this: (-1)² = 1. This is what we add and subtract to the function (we must do both to preserve equality), giving us:
f(x) = x²-2x+1+3-1
The first three terms of this function can be written as the square (x+(b/2))²; this is (x-1)², and gives us f(x) = (x-1)²+3-1. Combining like terms, we have:
f(x) = (x-1)²+2
This is vertex form, f(x) = a(x-h)²+k, where (h, k) is the vertex. This means the vertex is at (1, 2) instead of (0, 0).
Answer:
It's the first graph :D
Step-by-step explanation: hope it helps ^w^
Need the answer struggling
Answer:
The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]
Step-by-step explanation:
We have the polynomial having zeros 1,3,-5
We can write them as:
x=1,x=3,x=-5
or
x-1=0, x-3=0,x+5=0
Multiplying all terms:
[tex](x-1)(x-3)(x+5)\\=(x(x-3)-1(x-3))(x+5)\\=(x^2-3x-1x+3)(x+5)\\=(x^2-4x+3)(x+5)\\=(x^2-4x+3)+5(x^2-4x+3)\\=^3-4x^2+3x+5x^2-20x+15\\=x^3-4x^2+5x^2+3x-20x+15\\=x^3+x^2-17x+15[/tex]
So, The function [tex]f(x)=x^3+\mathbf{1}x^2-\mathbf{17}x+\mathbf{15}[/tex]
Please help thank you!Choose the slope and y-intercept that
correspond with the graph.
Answer:
slope is 3, y-intercept is -1
Step-by-step explanation:
please give brainliest!
Answer:
slope=3 y-int. = -1
Step-by-step explanation:
y-intercept is point on y axis and slope is rise over run
Determine the equations of any vertical asymptotes and the values of x for an holes in the graph of the ration funcion
1. asymptotes: x=4; hole: x=7
2. asymptotes: x=−4; hole: x=8
3. asymptotes: x=−8, x=−4; no holes
4. asymptotes: x=8, x=4; no holes
The “strike zone” or distance across home plate is 17 inches. Determine how long a baseball pitched at 90 mph is in the strike zone. Show your work
Answer:
The ball will spend 10,730.4012 microseconds in the strike zone
Step-by-step explanation:
Here, we want to calculate the time spent by a ball in the strike zone given the distance across the strike zone and the speed of the ball
Mathematically, we have ;
time = distance/speed
Before we proceed to use this formula, we need to have the parameters in the same units
So let’s convert 17 inches to miles
Mathematically;
1 inch = 1.578 * 10^-5 mile
So 17 inches = 1.578 * 10^-5 * 17 = 0.00026826 miles
So let’s now calculate the time
That will be;
0.00026826/90 = 0.000002980667 hours
It will be best if we convert this to seconds
Mathematically,
60 seconds = 1 minute
60 minutes = 1 hour
So the number of seconds in an hour is 60 * 60 = 3600 seconds
= 0.000002980667 * 3600 = 0.0107304012
Mathematically, 1 second = 10^6 microseconds
Thus multiplying 0.0107304012 by 10^6
we have; 10,730.4012 micro seconds
Max spends $5.25 on gas for his lawn mower. He earns $12.00 mowing his neighbor's yard. What is Max's profit?
Answer:
$6.75 aint never seen to pretty best frineds and always one of em' gotta be ugly
Step-by-step explanation:
i need your helpppppppp
Answer: 1.9 or 90%
Step-by-step explanation: it’s worth it x
cellus
Find the standard deviation of
the given data rounded to the
nearest hundredth.
147, 141, 120, 124, 128
Answer:10.3
Step-by-step explanation:
Write the following numbers in order from smallest to largest.
0.02, 0.05, 0.025, 0.052, 0.005, 0.002
Enter the numbers separated by commas ( , ).
Answer:
0.002,0.005,0.02,0.025,0.05,0.052
6TH GRADE MATH. PLEASE HELP! 25 POINTS!
Answer:
Express as exponents) 1) 81 / 2) 4/9 3) -64
Challange: Use parenthesis) 1) 3b 2) 8x^3y^3 3)15x^2y^2
Evaluate) 1) 125 2) 81/256
Challenge) 9a^2b^2
True or flase) 1) flase 2) false 3) true 4) false
Step-by-step explanation:
Which of the following will help you protect yourself
from identity theft and fraud?
Regularly monitor your credit report.
Contact lenders and credit bureaus to address
incorrect information.
Freeze your credit.
All of the above.
Answer:
Just Monitor your credit report regularly
The answer choices which will help protect against identify theft and fraud is; All of the choices above.
Protection guidelines against identity theft and fraudIdentity theft and fraud have been major downsides to the use of modern technologies. On this note, prevention strategies and cure strategies for identity theft and fraud include;
Regularly monitor your credit report.Contact lenders and credit bureaus to address incorrect information.Freeze your credit.Read more on identity theft and fraud;
https://brainly.com/question/807423
(ii) Child tickets cost $2 each and adult tickets cost $4.50 each.
Show that the total amount received from the sale of the tickets in 2008 was $11
Answer:
2 adult tickets
1 child ticket
Step-by-step explanation:
4.5+4.5+2=11
2 adult + 1 child
Carolina goes to a paintball field that charges an entrance fee of \$18$18dollar sign, 18 and $0.08 per ball. The field has a promotion that says, "Get $10 off if you spend $75 or more!" Carolina wonders how many paintballs she needs to buy along with the entrance fee to get the promotion.
Answer:
she needs to buy 713 paint balls to get 10 off.
Step-by-step explanation:
Hi i hope this helps:)
The collection of all input values is the ___ of the function ?
Answer:
Domain
Step-by-step explanation:
Input Values Form the Domain of the Function
Mathematicians call the set of all input values for a function its domain.
Nearest interger of 10
Answer:
9 or 11
Step-by-step explanation:
These are the answers because:
1) The number before 10 and after 10 is 9 and 11
Therefore, the answer is 9 or 11
Hope this helps!
what i 12 divided by 12,304 please ansere
Answer:
9.75 × 10^-4
Step-by-step explanation:
12 /12304
= 0.000975 = 9.75 × 10^-4
(X2 + 2x - 1) + (x3 - 2x + 1)
What is the solution to t - 3 ≤ 12?
A.t ≤ 9
B.t ≤ 12
C.t ≤ 15
D.t ≤ 3
Answer:
C.t<15
Step-by-step explanation:
If T-3<12
T<12+3=15
T<15
Which of the following situations best matches the data in the table?
Answer:
It's C
Step-by-step explanation:
Because I'm BIG-BRAINED
Which number is the additive inverse of Negative 4 and one-fourth?
A:Negative 4 and one-fourth
B:Negative one-fourth
C:One-fourth
D:4 and one-fourth
Answer:
I think it's D
Step-by-step explanation:
Additive and inverse I think is opposite so it might be D being the opposite of -4 1/4
need help asap lol i’m too dumb kay?
Answer:
1.5
Step-by-step explanation:
You can first set it as an ratio. Then you need to find out the scale factor that make these two ratios equevelent then you can get the missing number of red cup.
A 12 cm by 16 cm painting hangs in a museum. The museum curator wants to hang other paintings in the gallery that are proportional (ratios which are equivalent) in size. The dimensions of several paintings are shown. Which paintings' dimensions are proportional to the original painting? Select all that apply.
A. 6 cm by 12 cm
B. 15 cm by 20 cm
C. 3 cm by 4 cm
D.6 cm by 9 cm
E. 9 cm by 12 cm
Answer: 15cm by 20cm
3cm by 4cm
9cm by 12cm
Step-by-step explanation:
From the question, we are informed that a 12 cm by 16 cm painting hangs in a museum. We are given several options and told to choose the paintings' dimensions that are proportional to the original painting. This will be:
12cm by 16cm when divided by 4 gives 3cm by 4cm. This means that we have to look out for the options that are in the ratio 3:4.
A. 6 cm by 12 cm
6cm by 12cm reduced to lowest term gives 1:2
B. 15 cm by 20 cm
15cm by 20cm reduced to lowest term gives 3:4
C. 3 cm by 4 cm
D.6 cm by 9 cm
6cm by 9cm reduced to lowest term gives 2:3.
E. 9 cm by 12 cm
9cm by 12cm reduced to lowest term gives 3:4.
Therefore the correct options are:
15cm by 20cm
3cm by 4cm
9cm by 12cm
Passes through (-3,7) and has vertex (-5,4)
Answer:
y
=
−
3
x
2
+
30
x
−
71
Explanation:
the equation of a parabola in
vertex form
is.
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
a
(
x
−
h
)
2
+
k
2
2
∣
∣
∣
−−−−−−−−−−−−−−−−−−−−−
where
(
h
,
k
)
are the coordinates of the vertex and a
is a multiplier
here
(
h
,
k
)
=
(
5
,
4
)
⇒
y
=
a
(
x
−
5
)
2
+
4
to find a substitute
(
7
,
−
8
)
into the equation
−
8
=
4
a
+
4
⇒
a
=
−
3
⇒
y
=
−
3
(
x
−
5
)
2
+
4
←
in vertex form
distributing and simplifying gives
y
=
−
3
(
x
2
−
10
x
+
25
)
+
4
y
=
−
3
x
2
+
30
x
−
75
+
4
⇒
y
=
−
3
x
2
+
30
x
−
71
←
in standard form
Step-by-step explanation:
What is the answer
for n +2 x3 output
Solve for X.
A. 168
B. 180
C. 21
D. 42
Answer:
I think C.
Step-by-step explanation:
Plug in 21 as x then add to get 180 which is the degree all of the angles in a triangle equal
One-half divided by three-fourths = StartFraction 1 Over a EndFraction times StartFraction b Over c EndFraction = StartFraction d Over e EndFraction
Select the values that correctly complete the problem.
a =
b =
c =
d =
e =
Answer:
your answer is
A= 2
B= 4
C= 3
D= 2
E= 3
Step-by-step explanation:
Answer:
a= 2
b= 4
c= 3
d= 2
e= 3
Step-by-step explanation:
i got it right loves
Factor by finding the GCF:
8x-10
Answer:
The GCF is 2
Step-by-step explanation:
Hope this helps!!
Answer:
2(4x-5)
Step-by-step explanation:
Take the two, the GCF, out, and divide each term by it.
Perimeter =116
Yes plz need help
Answer:
[tex]x=30[/tex]
Step-by-step explanation:
First, let us notice that the ticks on the side of this quadrilateral indicate that the lengths of the sides are equal.
From this, we can create the following equation based on the perimeter of this shape.
[tex]28+28+x+x=116[/tex]
Now, we can solve this equation for x by first combining like terms
[tex]2x+56=116[/tex]
Now, we can subtract 56 from each side
[tex]2x=60[/tex]
And now divide each side by 2
[tex]x=30[/tex]
Just to check out answer, we can plug this x-value into our original perimeter equation to see if it is correct
[tex]28+28+30+30=116\\\\56+60=116\\\\116=116[/tex]