Answer:
option E, C
Step-by-step explanation:
From the graph we will find the equation of g(x).
g(x) is a parabola with vertex ( h, k) = ( 0, 9)
Standard equation of parabola is , y = a (x - h)² + k
y = a (x - 0)² + 9
y = ax² + 9 ---------- ( 1 )
Now we have to find a .
To find a we will take another point through which the parabola passes .
Let it be ( 3, 0).
Substitute ( 3 , 0 ) in ( 1 ) => 0 = a (3 )² + 9
=> - 9 = 9a
=> a = - 1
Substitute a = - 1 in ( 1 ) => y = -1 x² + 9
=> y = - x² + 9
Therefore , g(x) = -x² + 9
Now using the table we will find h(x)
[tex]h(x) = 4^{x}[/tex]
So g(x) = -x² + 9 and [tex]h(x) = 4^{x}[/tex]
Option A : both function increases on ( 0, ∞ ) - False
[tex]\lim_{x \to \infty} g(x) = \lim_{x \to \infty} -x^2 + 9[/tex]
[tex]= - \lim_{x\to \infty} x^2 + \lim_{x \to \infty} 9\\\\= - \infty + 9\\\\=- \infty[/tex]
g(x) decreases on ( 0 , ∞)
[tex]\lim_{x\to \infty} h(x) = \lim_{x \to \infty} 4^{x}[/tex]
[tex]= \infty[/tex]
h(x) increases on ( 0, ∞)
option B : g(x) increasing on (- ∞, 0) - False
g(x) = -x² + 9
g( -2 ) = - (-2)² + 9
= - 4 + 9 = 5
g ( -5) = - ( -5)² + 9
= - 25 + 9 = - 14
As the value of x moves towards - ∞ , g(x) moves towards - ∞
Therefore g(x) decreases on (- ∞, 0)
Option C: y intercept of g(x) is greater than h(x) - True
y intercept of g(x) = ( 0 , 9 )
y intercept of h(x) = ( 0 , 1 )
Option D : h(x) is a linear function - False
Option E : g(2) < h(2) - True
g(x) = -x² + 9
g(2) = -(2)² + 9 = - 4 + 9 = 5
h(x) = 4ˣ
h(2) = 4² = 16
Help please giving brainly and points! :)
Answer:
(8,5):
8 is x-axis
5 is y-axis
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
Stationary points. Help ASAP please. Thanks
You can use the power rule for derivatives for each problem (though you could also use the product rule for the fourth curve).
y = x ² + 6x - 1 ==> dy/dx = 2x + 6
y = x ² - 5x + 1 ==> dy/dx = 2x - 5
y = 2 - 4x - x ² ==> dy/dx = -4 - 2x
y = (1 + x) (7 - x) = 7 + 6x - x ² ==> dy/dx = 6 - 2x
--
or, using the product rule,
dy/dx = (1 + x) (-1) + 1 (7 - x) = -1 - x + 7 - x = 6 - 2x
--
Now, stationary points occur where the derivative is zero. We have
2x + 6 = 0 ==> x = -3
2x - 5 = 0 ==> x = 5/2
-4 - 2x = 0 ==> x = -2
6 - 2x = 0 ==> x = 3
The scores from Dr. Wilhelm's students science fair project are shown below .
Dr wilhelm made a histogram for the data.
answer choices :
50
65
70
71
plsss help I appreciate it thank you so much
Answer:
See Explanation
Step-by-step explanation:
You posted an incomplete question with little and unclear details.
I will answer this question with a more complete version (see attachment)
Given that:
[tex]Scores: 100\ 95\ 88\ 62\ 76\ 90\ 100\ 58\ 72\ 60\ 85\ 90\ 70\ 72\ 54\ 100\ 60\ 80\ 75\ 51[/tex]
Required
The fraction that passed the test
Rearrange the score in ascending order:
[tex]Scores: 51\ 54\ 58\ 60\ 60\ 62\ 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
The total number of students is:
[tex]n =20[/tex]
Extract the students that passed (scored 70 and above)
[tex]Passed: 70\ 72\ 72\ 75\ 76\ 80\ 85\ 88\ 90\ 90\ 95\ 100\ 100\ 100[/tex]
Their numbers are:
[tex]Passed: 14[/tex]
So, the fraction of those that passed is:
[tex]Fraction = \frac{Passed}{n}[/tex]
[tex]Fraction = \frac{14}{20}[/tex]
Reduce fraction
[tex]Fraction = \frac{7}{10}[/tex]
**PLEASE HELP**The frequency table below represents the 30 best battling averages for a semi pro baseball league. Which ranges of battling averages were least common among the players
The lower the frequency the least common the average.
There are two frequencies that are 1, which would be the least common.
The answer is C. 0.320-0.329 and 0.360 -0.369
Answer:
option C
Step-by-step explanation:
option c is contains the two batting averages which have a frequency of 1, this means that they both only occurred once which is the least amount of times any of the batting averages has occurred.
Can someone explain how to do this?
Answer:
x = 32°
Step-by-step explanation:
The two angles form a straight line, so therefore they are supplementary.
The sum of supplementary angles always equal 180°, so we know that:
(3x - 4) + (3x - 8) = 180°
Now you have the equation, solve for x.
3x - 4 + 3x - 8 = 180°
6x - 12 = 180°
6x = 192°
x = 32°
Answer:
3x-4+3x-8=180
3x+3x=180+4+8
6x=192
x=32
check: 3(32)-4+3(32)-8=180
Which term best describes a major arc of a circle that has the same starting
and ending point?
A. Diameter
B. Chord
O
C. Radius
D. Circumference
Answer:
Circumference! it's the major arc whose starting and ending point coincide.
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
Three sides of a triangle measure 25 inches, 24 inches, and 7 inches. Which statement about the side lengths is correct?
Answer:
Well this needs more of a discription. I would say that 25 inch is the hypotenuse and the lenght is 24 inches. 7 inches is the width
What is the point of intersection to the system below?
2x - 3y = 5
3x +3y = 5
Answer:
Solution: {x = 2, y = -1/3}
Step-by-step explanation:
On observation, we see that the y-terms are equal and opposite in sign, therefore to solve the system, we add the two equations.
2x-3y = 5 ..........(1)
3x+3y = 5............(2)
(1) + (2)
2x - 3y + 3x + 3y = 5+5
5x = 10
x = 2 .......(3)
Substitute (3) in (2) and solve for x
3x+3y = 5 .....(2)
3(2) + 3y = 5
3y = 5-6 = -1
y = -1/3 .......(4)
assemble (3) and (4) to give the answer
Solution: {x = 2, y = -1/3}
Question is in photo.
Thanks
Answer:
what do you mean for this question. What do you need help on?
What measure is represented by 17 feet in the figure below?
A cylinder with diameter 17 feet.
the radius of the base
the diameter of the base
the area of the base
the height of the cylinder
Answer: The answer is the diameter.
Step-by-step explanation:
Answer:
diameter
Step-by-step explanation:
the diameter goes straight through the center of the circle
out of 75 student 3 were a scent what percentage was present
Answer:
To find a percentage, divide the number present by the total number of students, then multiply that number by 100.
Answer:
96% were present.
Step-by-step explanation:
75/100 , 72/? Find percent (?)
(72*100 / )75
96%
!!!10 POINTS I KNOW IT IS NOT ENOUGH BUT PLEASE ANSWER!
AND IF YOU CAN SHOW AT LEAST A LITTLE WORK THAT WOULD BE GREAT I NEED TO SHOW WORK!!!
Answer:
B) 376 units squared
Step-by-step explanation:
Imma put a picture that has a fully explanation. Hope this helps, good luck! ;)
Btw saw your other one got deleted •_• *sigh*
A can of soup is 8 centimeters in diameter and 10 centimeters high. What is the volume of the can in terms of ?
Answer:
volume= 502.4cm
Step-by-step explanation:
see attachment for detailed solution
Answer:
Step-by-step explanation:
Formulae for Volume = Pi x r2 x h
Pi = 3.14 or 314/100 because the radius is not a product of 7
Radius = 4 cm
Height = 10 cm
314/100 x 4 x 4 x 10 = 512.4 cm2
= 512.4 cm2
Please help. Will give 15 points!!!!
it should be false but its been a while since i did that but the expressions should be multiplied together
Write the equation of the line that passes through the point (4,−1) that is parallel to the line 2x−3y=9
First we find the slope of the line 2x−3y+8=0 by placing it into slope intercept form:
2x−3y+8=0
⇒−3y=−2x−8
⇒3y=2x+8
⇒y=
3
2
x+
3
8
Therefore, the slope of the line is m=
3
2
.
Now since the equation of the line with slope m passing through a point (x
1
,y
1
) is
y−y
1
=m(x−x
1
)
Here the point is (2,3) and slope is m=
3
2
, therefore, the equation of the line is:
y−3=
3
2
(x−2)
⇒3(y−3)=2(x−2)
⇒3y−9=2x−4
⇒2x−3y=−9+4
⇒2x−3y=−5
Hence, the equation of the line is 2x−3y=−5.
Answer:
y=2/3x-11/3
Step-by-step explanation:
Hi there!
We are given the equation 2x-3y=9 and we want to write an equation that is parallel to it and that passes through (4,-1)
Parallel lines have the same slopes
So we need to first find the slope of 2x-3y=9
We can do this by converting the equation of the line from standard form (ax+by=c where a, b, and c are integers) to slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do this, we need to isolate y on one side
2x-3y=9
subtract 2x from both sides
-3y=-2x+9
divide both sides by -3
y=2/3x-3
as 2/3 is in the place where m is, 2/3 is the slope of the line
It's also the slope of the line parallel to it that passes through (4,-1).
Here's the equation of that line so far:
y=2/3x+b
now we need to find b
as the line will pass through the point (4,-1), we can 4 as x and -1 as y in order to solve for b
-1=2/3(4)+b
multiply
-1=8/3+b
subtract 8/3 to both sides
-11/3=b
Substitute -11/3 as b into the equation
y=2/3x-11/3
There's the equation
Hope this helps!
i need help like asap!!!!
Answer:
to do this lets first solve this so
5*5*5*5=625
5^-3=0.008
0.008^2=0.000064
0.000064*625=0.4
so all equations that are equal to 0.4 are right which is C
Observe los datos de la siguiente tabla y resuelva. x -2 -1 0 1 2 3 y 1 3 5 7 9 11
Answer:
y = 2*x + 5
Step-by-step explanation:
En este problema tenemos los datos de una tabla, y supongo que queremos encontrar la funcion que esta siendo representada por esta tabla.
La tabla es:
x: -2 -1 0 1 2 3
y: 1 3 5 7 9 11
Esto parece ser una relación linear, las cuales se escriben como:
y = a*x + b
Donde a es la pendiente y b es la ordenada.
Si sabemos que la linea pasa por los puntos (x₁, y₁) y (x₂, y₂), entonces la pendiente será:
a = (y₂ - y₁)/(x₂ - x₁)
Entonces lo primero que debemos chequear es si utilizando distintos puntos de esa tabla obtenemos la misma pendiente, lo que significaría que los datos de la tabla se corresponden con una relación linear.
SI usamos los primeros dos puntos de la tabla, que son (-2, 1) y (-1, 3) la pendiente es:
a = (3 - 1)/(-1 - (-2)) = 2/1 = 2
Ahora si utilizamos por ejemplo el segundo y tercero, que son (-1, 3) y (0, 5) entonces la pendiente es:
a = (5 - 3)/(0 - (-1)) = 2/1 = 2
Ya vimos que para dos pares de puntos distintos la pendiente es igual a 2, entonces podemos concluir que la ecuación va a ser algo como:
y = 2*x + b
Para encontrar el valor de b, podemos usar cualquiera de los puntos de la tabla.
Si usamos el segundo punto, (-1, 3)
esto significa que cuando x = -1, tenemos y = 3
Si reemplazamos esos dos valores en la ecuación de arriba, obtenemos:
3 = 2*-1 + b
3 = -2 + b
3 + 2 = b
5 = b
Entonces la ecuación es:
y = 2*x + 5
I really don't understand this.
Answer:
parang wla po yung answer
Step-by-step explanation:
Which of the pairs of functions and their inverses will always have a domain and range of all real numbers?
Answer:
A pair of linear functions
Step-by-step explanation:
Given
See comment for options
Required
Which has real numbers as its range and domain
The answer to this is, the linear functions
Take for instance
[tex]f(x) = mx + b[/tex]
The above function is real for all values of x
The inverse is calculated as thus:
[tex]f(x) = mx + b[/tex]
Replace f(x) with y
[tex]y = mx + b[/tex]
Swap y and x
[tex]x = my + b[/tex]
Make y the subject
[tex]my = x - b[/tex]
Divide by m
[tex]y = \frac{x - b}{m}[/tex]
Replace y with the inverse function
[tex]f^{-1}(x) = \frac{x - b}{m}[/tex]
The above function (i.e. the inverse function) is real for all values of x
This is not true for other options
If using the method of completing the square to solve the quadratic equation
22 + 2x + 16 = 0, which number would have to be added to "complete the
square"?
Answer:
complete the square 2 x + 38 = 0
Step-by-step explanation:
A real estate agent earns about a 6% commission on each house sold. How
much commission would an agent earn on a house that sold for $125,000?
Answer:
132'500
Step-by-step explanation:
It is like doing tax, you just needed to multiply your number by 0.6
Answer:
$ 7,500
Step-by-step explanation:
commission=6%
House price= $125,000
Commission=6/100 ×125,000
Commission= $ 7,500
Use the diagram right above
AB=?
m
I need help solving both of these 2 I’ve tried asking but nobody knows
Answer:
Step-by-step explanation:
x/7 - 13 ≥ -11
x/7 ≥ 2
x ≥ 14
m/-6 + 16 ≥ 19
m/-6 ≥ 3
m/6 ≤ -3
m ≤ -18
Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?
Answer:
1
Step-by-step explanation:
that's a very vague question
Think of 5 positive integers that have a mode of 4, a median of 6, a mean of 7 and a range of 10.
Answer:
6 6 6 6 11
Step-by-step explanation:
The median is the middle number
the mode is the number of items, usually the number that are the same.
the mean is the average
the range is the number between the smallest and the largest.
So the information you have makes 4 of the 5 numbers the same.
The middle number is 6. This is an interesting fact because it means that 4 of the five numbers are 6
x 6 6 6 6 or 6 6 6 6 x is what you know so far.
The range is a bit of a devil. And so is the mean. We need the mean to be related to 5*7 = 35. So the sum of the five numbers equals 35. The range would have to be 5, I think. (35 - 4*6) = 11
The difference between 11 and 6 = 5
So 11 works for everything but the range.
If the range must be ten, then x = 16 but then the mean = 8 and 7 is incorrect
So I can get 3 out of 4, but not them all.
help me..........
only 23...
Question 23
Recall that a kite in geometry is any four sided figure where we have two different pairs of adjacent sides that are the same length.
We're told that PS = 4.5 and RS = 6. So this isn't an adjacent pair of congruent sides. But we can say that PS and PQ are one pair of adjacent congruent sides. That makes PQ to be 4.5 cm long.
Similarly, RS = RQ = 6 is the other pair of adjacent congruent sides. Notice that triangle PQR reflects over line PR to get triangle PSR.
See the diagram below.
What is the slope of the line formed by (7,1) and (-3,3)?
Answer:
JMK
Step-by-step explanation:
Answer:
[tex]-\frac{1}{5}[/tex] is the slope of the line.
Step-by-step explanation:
(7 , 1) = (x1 , y1)
(-3 , 3) = (x2 , y2)
slope = y2 - y1/x2 - x1
=3 - 1/-3 - 7
=2/-10
=1/-5
=[tex]-\frac{1}{5}[/tex]
39.63+0.30=24.45+0.80
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\large\textsf{39.63 + 0.30 = 24.45 + 0.80}[/tex]
[tex]\large\textsf{39.63 + 0.30}[/tex]
[tex]= \boxed{\large\textsf{\bf 39.93}}\large\checkmark[/tex]
[tex]\large\textsf{24.45 + 0.80}[/tex]
[tex]=\boxed{\large\textsf{\bf 25.25}}[/tex]
[tex]\large\textsf{\bf 39.93 } \mathsf{\bf \neq }\large\textsf{ \bf 25.25}[/tex]
[tex]\boxed{\boxed{\large\textsf{Answer: \bf FALSE or NOT TRUE because 39.93 }\mathsf{\neq }\large\textsf{ \bf 25.25}}}\huge\checkmark[/tex]
[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]