Answer:
The vertex of the function is at (–3,–16)
The graph is increasing on the interval x > –3
The graph is positive only on the intervals where x < –7 and where x > 1
Step-by-step explanation:
The roots of this function are the values that make f(x) = 0. As the equation is already factored, we can see that the roots are x1 = 1 and x2 = -7
The x-coordinate of the vertix can be calculated as:
x_v = (x1 + x2)/2 = -6/2 = -3
So the first statement: "The vertex of the function is at (–4,–15)" is wrong.
The y_coordinate of the vertex is:
f(x_v) = (x_v - 1)*(x_v + 7) = (-3 -1) * (-3 +7) = (-4) * (4) = -16
So the second statemente: "The vertex of the function is at (–3,–16)" is correct.
for values of x greater than x_v = -3, the graph increases, as the equation represents a parabola with concavity upwards. So the third statement is correct.
As the roots are 1 and -7 and the concavity is upwards, the parabola have positive values for x<-7 and x>1. So the fourth statement is correct.
For values of x< -4, the parabola can have both positive or negative values (it has positive values for x < -7) so the fifth statement is wrong.
Answer:
B. The vertex of the function is at (–3,–16).
C. The graph is increasing on the interval x > –3.
D. The graph is positive only on the intervals where x < –7 and where
x > 1.
Can someone please help me with this
Answer:
12 inches
Step-by-step explanation:
a^2 + b^2 = c^2
a=16
b=?
c=20
16^2 + b^2 = 20^2
256 + b^2 = 400
400 - 256 = b^2
144 = b^2
Square root 144 = b
12 = b
the formula for exponential decay is y=a(1-r)^t, where a is the initial amount, r is the rate of decay and t is the number of intervals. use the formula to determine the answer to the following problem.
on wednesday your science teacher gives you a list of twenty five terms to be memorized. you memorize all of them wednesday night and do not look at the list again. if you forget 5% of the list each day, how many terms will you remember seven days later for the chapter test?
Determine what type of model best fits the given situation:
A retirement account is expected to grow by 15% each year.
A. none of these
B. exponential
C. quadratic
D. linear
Answer:
I believe it is linear
Step-by-step explanation:
because if you are talking about percentage then it should be done on a linear graph so therefore i believe the answer is linear..................if i am incorrect i am very sorry but i believe i am correct.
Answer: Quadratic
Step-by-step explanation: I took the test
What is the range of the data below? A box-and-whisker plot. The number line goes from 50 to 100. The whiskers range from 52 to 93, and the box ranges from 60 to 89. A line divides the box at 82. 22 28 41 42want you inside now! LAURIE I walked down to the beach.
Answer:
42
Step-by-step explanation:
the is range is 42
Answer:
42
Step-by-step explanation:
Easy Question, Easy points
Topic: Volume
Answer:
about 141.37
Step-by-step explanation:
pi x 20 (h) x 1.5 (r)
radius is half of diameter :)
Answer:
141.37
Step-by-step explanation:
Would you mind giving me brainliest?
Below is the graph of f '(x), the derivative of f(x), and has x-intercepts at x = -3, x = 1 and x = 2. There are horizontal tangents at x = -1.5 and x = 1.5. Which of the following statements is true?
f has a relative minimum at x = 1.5.
f has a relative maximum at x = -1.5.
f is decreasing on the interval from x = 1 to x = 2.
None of these is true.
Thank you in advance!
Answer:
f is decreasing on the interval from x = 1 to x = 2.
Step-by-step explanation:
f has a relative minimum when f' changes signs from - to +.
f has a relative maximum when f' changes signs from + to -.
f is decreasing when f' is negative.
f' is not changing signs at x=-1.5 or x=1.5, so neither of these are minimums or maximums of f. However, f does have relative minimums at x=-3 and x=2, and a relative maximum at x=1
f' is negative between x=1 and x=2. So f is decreasing in this interval.
What did you include in your response? Check all that apply.
The boycott ended segregation on Montgomery buses.
The boycott led to violence against African Americans in Montgomery.
The boycott showed African Americans that they had some support in the white community.
The boycott provided a sense of personal power to African Americans.
The boycott gave national attention to the civil rights movement.
Answer:
the 1st and 3 and 2end one its the right one
Step-by-step explanation:
Answer:
its the first three answers :)
Step-by-step explanation:
A family of four spent $104 for tickets to a concert on Friday and they spent $140 for tickets to dinner theater on Saturday.What was the cost per person to attend these events
Answer:
$61
Step-by-step explanation:
To determine the cost per person to attend these events, you have to add the cost of the tickets for the concert plus the cost of the tickets for dinner theater. After finding the total amount that was spent, you have to divide this by 4 that is the number of people:
Total cost= $104+$140
Total cost= $244
Cost per person= $244/4
Cost per person= $61
According to this, the cost per person to attend these events is $61.
Answer:
Cost of first event: $26 per person
Cost of second event: $35 per person
Cost of both events together: $61 per person
Step-by-step explanation:
In the first event, the four people spent $104, so the cost per person of this event is:
104 / 4 = $26
Each person pays $26 for this event.
For the second event, the four people spent $140, so the cost per person of this event is:
140 / 4 = $35
The cost per person to attend both events together is:
26 + 35 = $61
A shipment to a warehouse consists of 2250 MP3 players. The manager chooses a random samle of 50 MP3 players and finds 6 that are defective. How many MP3 players in the shipment are likely to be defective?
Answer:
350
Step-by-step explanation:
Gimmie brainliest plzzz <3
Jane earns money walking dogs on the weekends. Jane charges $5 dollar sign, 5 for each dog she walks.
Complete the table for the given ratio.
Dogs Charge in dollars.
1 5
3 ?
5 ?
FIND THE ?
HURRY UP I HAVE 1 MINUTE TO SOLVE THIS
Answer:
3 dogs, $15
5 dogs, $25
Step-by-step explanation:
Jane charges $5 per dog.
When she walks 3 dogs ;
1 dog = $5
3 dogs = x
x × 1 dog = $5 × 3 dogs
x= $5 × 3 dogs/ 1 dog
x= $5 × 3 = $15
When Jane Walks 5 dogs she receives,
y= $5 × 5
y= #25.
For 3 dogs, Jane would charge $15. For 5 dogs, she would charge $25. You find these amounts by multiplying the number of dogs by the charge per dog, which is $5.
Explanation:Since Jane charges $5 for each dog she walks, you can find the charge for any number of dogs by multiplying the number of dogs by 5.
For 3 dogs, she would charge $15 (3 dogs x $5 per dog = $15).
For 5 dogs, she would charge $25 (5 dogs x $5 per dog = $25).
So, the completed table would look like this:
Dogs | Charge in dollars
1 |$5
3 |$15
5 |$25
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Identify the conic that is formed by the intersection of the plane described and the double-napped cone.
The plane intersects one nappe and is parallel to n.
What is the conic section formed?
A. ellipse
B. hyperbola
C. parabola
Answer:
C. Parabola
Step-by-step explanation:
A line parallel will cut only one cone (upper or lower cone, not both) making it a parabola
please help me!!!
find the arc length of partial circle.
Either enter an exact answer in terms of n pi or use 3.14 for n pi and enter as a decimal.
* This is from Khan academy and the lesson is (Circumstance of part of circles)*
Answer: 1.57
Step-by-step explanation:
When solving for the arc you have to find the circumference.
For circumference you'll need the diameter which is 2x the radius.
So, your equation would be
1/4{(pi)(2)} = x
or
1/4{(3.14)(2)} = x
To Solve:
3.14 times 2 equals 6.28
Divide by 4 or multiply by 1/4 to get 1.57
Not sure if this is correct, I haven't learned the topic myself, but this week's to be there most reasonable way to look at it. For me anyway.
The arc length of a partial circle can be calculated using the formula Arc length = (θ/360) * 2πr, where 'θ' is the angle of the sector in degrees and 'r' is the radius of the circle. This is applicable in high school Mathematics.
Explanation:The subject of your question is the arc length of a partial circle, a concept in Mathematics. The arc length of a partial circle can be calculated using the formula: Arc length = (θ/360) * 2πr, where 'θ' is the angle of the sector in degrees and 'r' is the radius of the circle.
For instance, if a circle has a radius of 8 units and the angle of the sector is 60 degrees, the arc length can be calculated as follows: Arc length = (60/360) * 2 * 3.14 * 8 = 8.38 units (in terms of 3.14 for n π). Using n π, the exact answer would be expressed as: Arc Length = 4π/3 units.
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Factor completely.
5
x
2
−
20
x
+
20
=
5x
2
−20x+20=5, x, squared, minus, 20, x, plus, 20, equals
Show Calculator
Answer:
[tex]5(x-2)^2[/tex]
Step-by-step explanation:
[tex]5x^2-20x+20=\\5(x^2-4x+4)=\\5(x-2)^2[/tex]
the jedi have a weapon that can shoot a projectile 20 miles. find the area that the projectile can land in.
Answer:
The area he can cover with that weapon is 1,256 miles².
Step-by-step explanation:
Assuming that the Jedi won't move and that he can shoot in every direction, he'd be shooting at a circle with a radius of 20 miles. Therefore the are that he can cover with that weapon is the area of the circle, which is shown below:
area = pi*r²
area = 3.14*(20)²
area = 3.14*400
area = 1,256 miles²
The area he can cover with that weapon is 1,256 miles².
The area a projectile can land in can be determined by considering the distance the missile can travel as the circle's radius. The area of this circle, calculated by the formula A = πr², is the area the shell can land in.
Explanation:The area where the projectile can land is determined by considering the weapon as the centre of a circle and the possible distance it can travel as the radius. This forms a circular area where the projectile can land. The area A of a process is calculated using the formula A = πr², where r is the circle's radius.
Here, our radius is 20 miles, the distance the projectile can travel. Therefore, we substitute this distance into our formula to find the area:
A = π(20)²
Calculating the above will give you the area that the projectile can land in.
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Solve the equation 2x-1=13.
Answer:
7
Step-by-step explanation:
2 time 7 = 14-1 = 13
Answer:
x=7
Step-by-step explanation:
Collect like terms
2x=13+1.
2x=14
Divide both side by 2
[tex] \frac{2x}{2} = \frac{14}{2} [/tex]
x=7
Help!!
Find the area of the figure and type your result in the box.
4cm
4cm
Use pi*= 3.14
Answer:
22.28
Step-by-step explanation:
Find m<1.
A.30
B.35
C.40
D.55
Answer:
m <1 = 30
Step-by-step explanation:
The sum of the angles of a triangle add to 180
Let x be the unknown angle
75+75+x = 180
Combine like terms
150+x =180
Subtract 150 from each side
150-150+x = 180-150
x = 30
Geometry Question Help please
Answer:
<EAD = 31*
Step-by-step explanation:
Because, <CAB is similar in angle measurement
If a sphere’s surface area is doubled, what is the corresponding change in radius?
Answer:
The radius has an increase of 41.4%
Step-by-step explanation:
We have that the surface area formula is equal to:
a = 4 * pi * r ^ 2
in this case if you assume an area of 100 and we calculate the radius it would be:
100 = 4 * pi * r ^ 2
we solve for r:
r ^ 2 = 100/4 * pi
r ^ 2 = 100 / (4 * 3.14)
r ^ 2 = 7.9617
r = 2,822
now if we double the area, that is 200:
r ^ 2 = 200 / (4 * 3.14)
r ^ 2 = 15.9236
r = 3,990
So the change of the radius would be:
3.99 / 2,822 = 1,414
That is to say that the radius has an increase of 41.4%
A silo is a composite of a cylindrical tower with a cone for a roof. Find the volume of the silo if the
radius of the base is 120 feet, the height of the roof is 25 feet, and the height of the entire silo is 130
feet.
Answer:
5127079.21 cubic feet
Step-by-step explanation:
The silo is in the shape of a cylinder and a cone.
The volume of the silo will be the sum of the volumes of the cylinder and the cone.
Therefore, its volume is:
[tex]V = \pi r^2h + \frac{1}{3} \pi rH[/tex]
where r = radius of cylinder and cone
h = height of cylinder
H = height of cone
The radius of the base is 120 feet, the height of the roof (cone) is 25 feet. The height of the entire silo is 130 feet. This means that the height of the cylinder is:
130 - 25 = 105 feet
Therefore, the volume of the silo is:
[tex]V = (\pi * 120^2 * 105) + (\frac{1}{3} * 120^2 * 25)\\\\V = 4750088.09 + 376991.12\\\\V = 5127079.21 ft^3[/tex]
The volume of the silo is 5127079.21 cubic feet.
A cyclist rides her bike at a rate of 9 kilometers per hour. What is the rate in kilometers per minute? How many kilometers will the cyclist travel in 2 minutes
Answer: 0.15km/min and 0.3km in 2 mins
Step-by-step explanation:
Given Data:
Cyclists speed = 9km/hr
1. Some traveling 60 km/h is traveling one km/min
60/60= 1 km/min
Rate in km/min
= 9km/hr / 60min
= 3/20 km/min
= 0.15 km/min
Kilometers travelled in 2mins
= 2 / 60
= 1 / 30
= 9km/hr * 1 / 30
= 9 / 30
= 0.3 km in 2mins
Answer:
Rate(in km/min) = 0.15 km/min
Distance traveled in 2 mins = 0.3 km
Step-by-step explanation:
Rate = 9 km/hr
1 hr = 60 mins
In 60 minutes, the cyclist rides 9 km
in 1 minute, the cyclist will ride 9/60 km
Therefore, the rate in km/min = 9/60 km/min
Rate(in km/min) = 0.15 km/min
Since the cyclist rides 0.15 km in 1 min,
In 2 mins, the cyclist will ride 0.15 * 2 km = 0.3 km
Distance traveled in 2 mins = 0.3 km
HELP!! ASAP!!! PLEASE!!!!!!
Answer:
It's 38
Step-by-step explanation:
I I don't know oh my God your thing is showing
Answer:
w = 8.
Step-by-step explanation:
Can't explain again did it in my head. :/
Which is equivalent to (3/125)*?
Answer:
The answer is A as when simplified the number is 125^x/3
and the only one taht represents this is a
Finn started a savings account with $5,000 and earns 3% simple interest for 5 years. How much interest will be earned over the 5 years? a) 15,000 b)759 c)3000 d)5015
Answer:
the answer is b. (since you accidentally typed 759 not 750)
Step-by-step explanation:
The formula for simple interest is
A = P (1 + rt)
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
and the interest is going to be 750 after you plug it in, they are not asking for the amount of money total, but the amount of interest earned.
3 percent simple interest for 5 years means you are getting 0.03 percent of money from the 5,000 initial value and for 5 years. The total interest is $750.
I hope this helped! :)
In Johnny's bowl there are many type of stones 1/8 of the stones are red and 5/6 of the stones are white what fraction of Johnny's stones are white or red
Answer:
[tex]\frac{23}{24}[/tex]
Step-by-step explanation:
1/8 of the stones in Johnny's bowl are red and 5/6 of the stones are white.
The fraction of stones that are red or white is obtained by adding the fraction that are red with the fraction that are white. That is:
[tex]\frac{1}{8} + \frac{5}{6} = \frac{23}{24}[/tex]
The fraction of the stones that are red or white is [tex]\frac{23}{24}[/tex].
Follow below steps:
The fraction of Johnny's stones that are white or red can be calculated by adding the fractions of white and red stones.
Given that 1/8 of the stones are red and 5/6 of the stones are white:
Red stones: 1/8
White stones: 5/6
Total fraction of white or red stones: 1/8 + 5/6 = 5/24 + 20/24 = 25/24
Since the total is greater than 1, it indicates a mistake in the initial information provided.
A pizza with radius 7 in. is cut into 12 equal-sized pieces. What is the area of each piece? Round to the nearest hundredth of an inch.
Each pizza slice has an area of approximately 12.82 square inches, rounded to the nearest hundredth.
To find the area of each pizza slice, we first need to find the total area of the pizza and then divide it by the number of slices.
The formula for the area of a circle is [tex]\( A = \pi r^2 \)[/tex], where [tex]\( \pi \)[/tex] is approximately 3.14 and r is the radius of the circle.
Given that the radius of the pizza is 7 inches, we can calculate the total area of the pizza:
[tex]\[ A_{\text{total}} = \pi \times (7)^2 \]\[ A_{\text{total}} = 3.14 \times 49 \]\[ A_{\text{total}} \approx 153.86 \text{ square inches} \][/tex]
Now, to find the area of each pizza slice, we divide the total area by the number of slices (12):
[tex]\[ A_{\text{each slice}} = \frac{A_{\text{total}}}{12} \]\[ A_{\text{each slice}} \approx \frac{153.86}{12} \]\[ A_{\text{each slice}} \approx 12.82 \][/tex]
So, the area of each pizza slice is approximately 12.82 square inches.
How many 2/3 cup servings are in an 8-cup container of juice?
Help please
You can get 12 servings of 2/3 cup each from an 8-cup container of juice. You find this by dividing the total volume (8 cups) by the volume of each serving (2/3 cup).
Explanation:To find out how many 2/3 cup servings you can get from an 8-cup container of juice, you simply divide the total volume by the volume of each serving.
In this case, you divide 8 (the total volume) by 2/3 (the volume of each serving). Here are the step-by-step calculations:
Write 8 as a fraction, which becomes 8/1.Divide by 2/3, which in practice means multiplying 8/1 by the reciprocal of 2/3, which is 3/2.When you multiply 8/1 by 3/2, you get 24/2, which simplifies to 12.So, you can get 12 servings of 2/3 cup each from an 8-cup container of juice.
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The equations x minus 3 y = negative 3, 2 x + y = 2, x + 3 y = 3, and 2 x minus y = negative 2 are shown on the graph below. On a coordinate plane, there are 4 lines. Green line goes through (0, 2) and (negative 1, 0). Blue line goes through (0, 2) and (1, 0). Pink line goes through (negative 1.5, 1.5), and (1.5, 0.5). Orange line goes through (negative 1.5, 0.5) and (1.5, 1.5). Which system of equations has a solution of approximately (–0.4, 1.1)? x + 3 y = 3 and 2 x minus y = negative 2 x minus 3 y = negative 3 and 2 x + y = 2 x minus 3 y = negative 3 and 2 x minus y = negative 2 x + 3 y = 3 and 2 x + y =2
Answer:
(A)x+3y=3 and 2x-y=-2
Step-by-step explanation:
In the attached graph
Green line is the graph of 2x-y=-2Red line is the graph of x-3y=-3Orange line is the graph of x+3y=3Blue Line is the graph of 2x+y=2The point of the intersection of the orange and green line has an approximate solution of (-0.4,1.1).
Therefore, the system of equation which has the approximate solution is: x+3y=3 and 2x-y=-2
The correct option is A
Answer:
A
Step-by-step explanation:
what is the slope of y= 2/3x + 4
Answer:
2/3
Step-by-step explanation:
m is the variable for slope
the equation of a line
is y=mx+b
the slope is next to the x
Answer:
[tex]slope = \frac{2}{3} [/tex]
Step-by-step explanation:
[tex]Think \: of \: y = mx + b \\ \\ m\: is \: the \: slope \\ b \: is \: the \: y \: intercept \\ \\ So, \: since \: \frac{2}{3} \: is \: on \: the \: m \: the \: slope \: is \\ \frac{2}{3}[/tex]
An equilateral triangle has a perimeter of 15x3 + 33x5 feet. What is the length of each side?
Answer:
70
Step-by-step explanation:
So I assumed that the x was multiplication...so...15x3=45 and 33x5=165...so the perimeter is 210, so you divide that by 3 and the answer is 70!