Answer: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (−3,0),(2,0)
y-intercept(s): (0,6)
what is the correct answer?
Given:
The function is
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
To find:
The zeros of the given function.
Solution:
The general form of polynomial is
[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex] ...(i)
where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeros of respective multiplicities [tex]m_1,m_2,...,m_n[/tex].
We have,
[tex]f(x)=(x+3)^2(x-5)^6[/tex]
On comparing this with (i), we get
[tex]c_1=-3,m_1=2[/tex]
[tex]c_2=5,m_2=6[/tex]
It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
River collects old coins. He has four
less than twice as many rare nickels as
he does rare quarters. I the face value
of the coins is $3.65, Which system of
equations can be used to find n, the
number of nickels, and ç, the number of
quarters that he has?
a) 25n +59 = 365
29-4=n
b) 5n +59 = 3.65
49 +2=n
c) 5n + 256 = 365
29-4=
d) 5n + 259 = 365
49-2=n
e) 25n +59 = 365
49-2=n
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Answer:
c) 5n +25q = 365
2q -4 = n
Step-by-step explanation:
The number of nickels (n) is 4 less than twice the number of quarters (q), so one of the equations is ...
2q -4 = n
The face value is 365 cents, so another equation is ...
5n +25q = 365
These equations seem to match choice C.
A barrel contained 60 gallons of water. Water leaked out of the barrel at a rate of 6 gallons every 3 days. At this rate, how many days did it take for all 60 gallons of water to leak out of the barrel?
What common side do triangle CDE and triangle FED share?
(-1,2) (1,8)
Find the slope
Meghan earns 20.00 dollars by walking dogs. She uses all of her earnings to buy a shirt for 12.85 dollars and some stickers for 0.65 dollars each. How many stickers does she buy ?
Answer:
She bought 11 stickers
Step-by-step explanation:
20 - 12.85
7.15
then
7.15/0.65
11
Answer:
the answer is 11 :D
Step-by-step explanation:
Im not sure but please correct me if im wrong!
Find zeros of the following equation
4x-3=x+2
Answer:
4x-3=x+2
4x-x=3+2
3x=5
x=5/3
EXERC
1. Calculate the volume of the shape below:
1 CM
3.5 cm
10 cm. how do u calculate the cylinder
Answer:551.3212cm³
Step-by-step explanation:
Find the image attached
The volume is made up of a cone, cylinder and a hemisphere
Volume of the shape = Volume of cone + volume of cylinder + volume of hemisphere
Get the volume of the cone;
Volume of a cone Vc = 1/3πr²h
r is the base radius = 3.5cm
Height = 10cm
Vc = 1/3π(3.5)²(6)
Vc = 1/3π(12.25)(6)
Vc = 12.25 * 2π
Vc = 24.5π cm³
Get the volume of the cylinder;
Vcy = πr²h
r = 3.5cm
h = 10cm
Vcy = π(3.5)²(10)
Vcy = π(12.25)(10)
Vcy = π(122.5)
Vcy = 122.5π cm³
Get rhe volume of the hemisphere;
Volume of hemisphere = 2/3 πr³
r = 3.5cm
Vh = 2/3 π(3.5)³
Vh = 2/3π(42.875)
Vh = 28.58π cm³
Volume of the shape = VC + Vcy + Vh
Volume of the shape = 24.5π+122.5π+28.58π
Volume of the shape = 175.58π
Volume of the shape = 551.3212cm³
Find m∠1. Then classify the triangle by its angles.
Answer:
110 degrees
scalene triangle
Step-by-step explanation:
Answer:
m<1 = 110°
obtuse triangle
Step-by-step explanation:
The sum of interior angles in a triangle is equal to 180° two of the angles are given as 40 and 30 so the third angle is 110° and since one of the angle's measure is larger than 90° we call this triangle obtuse.
help please !! thank you so much
Answer:
Yes it is a proportional relationship
Step-by-step explanation:
That is because 20 and 10 are your original and 40 and 20 and 60 and 30 match with it.
what material often called a shooting stars as it enters the Earth’s atmosphere
can someone please help explain this to me? i’ll give brainliest
Answer:
It's B/the 2nd one
Step-by-step explanation:
So first eliminate the third one because that says plus 4, the Y intercept is 3 so it has to be + 3 which leaves us we A, B, and D.
Then we can eliminate D, the slope is going downward, so it cannot be positive, and it's positive so that leaves us with A and B
The answer is B because of how steep the line is.
PLEASE HELP!!! Trying to figure out what sides D and F are. Need help ASAP, THIS HAS TO BE IN MY MIDNIGHT ON FRIDAY!!! This makes or breaks me passing Geometry.
Thank You!!!
A ball is dropped from a height of 50 feet. The function f(x) = 50(0.6)x gives the height in feet of feet of each bounce, where x is the bounce number. What is the height of the third bounce to the nearest tenth of a foot?
Answer:
The height of the third bounce is 10.8 feet
Step-by-step explanation:
Let us solve the question
∵ A ball is dropped from a height of 50 feet
∵ The function f(x) = 50[tex](0.6)^{x}[/tex] gives the height in feet of each bounce
∵ x is the bounce number
∵ We need to find the height of the third bounce
∴ x = 3
→ Substitute x by 3 in the function above
∵ f(3) = 50(0.6)³
∴ f(3) = 50(0.126)
∴ f(3) = 10.8
∴ The height of the third bounce is 10.8 feet
pls help asap!!!
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
description
• 2.5 below sea level
Answer:
negative 2.5
Step-by-step explanation:
It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.
Please if you can show your work and explain
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Answer:
15 days
Step-by-step explanation:
The cost for boarding is $18 each day. The cost for play-time is $6.75 each day. So, the charges for both add up to ...
$18 +6.75 = $24.75
each day.
The manners lesson is a flat fee added to the daily boarding charges, so for d days, the total bill is ...
$24.75·d +45.99 = 417.24 . . . . . equation relating days to cost
We solve this 2-step equation by first subtracting the constant on the left.
$24.75·d = $371.25
Then we divide by the coefficient of the variable:
d = $371.25/$24.75
d = 15
Your dog stayed at the kennel 15 days.
A kite is flying 40 feet above a stop sign. The child flying the kite is standing 30 feet feet away from the stop sign. How long is the string from the child to the kite?
Answer:
70 feet
Step-by-step explanation:
A kite is flying 30 feet from a stop sign
The child flying the kite is standing 40 feet from the stop sign
Therefore the length of the string from the child to the kite can be calculated as follows.
= 30 feet + 40 feet
= 70 feet
Answer:
50 feet
Step-by-step explanation:
It's supposed to be 30x30= 900, 40x40= 1'600
900+1600=2500. 2500 square rooted= 50
the answer is 50
so sorry to say but ritmeks you're wrong, you don't add them together you multiply them by themselves then add both together then you square root the answer you get from that
Maria throws a softball straight up into the air with an initial velocity of 50 ft/sec. The ball leaves her hand when it is exactly 4 ft. Above the ground. Write an equation that models the situation.
Answer:
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Step-by-step explanation:
Let suppose that effects from air friction and Earth's rotation can be neglected, so that the softball can be modelled experiment a free fall, that is, an uniform accelerated motion due to gravity. From we know the initial velocity and position of the position and we can determine the final position of the ball as a function of the final velocity:
[tex]v_{f}^{2} = v_{o}^{2}+2\cdot a \cdot (s_{f}-s_{o})[/tex] (1)
Where:
[tex]s_{o}[/tex], [tex]s_{f}[/tex] - Initial and final position of the softball, measured in feet.
[tex]a[/tex] - Acceleration, measured in meters per square second.
[tex]v_{o}[/tex], [tex]v_{f}[/tex] - Initial and final velocities of the softball, measured in feet per second.
If we know that [tex]v_{o} = 50\,\frac{ft}{s}[/tex], [tex]a = -32.174\,\frac{m}{s^{2}}[/tex] and [tex]s_{o} = 4\,ft[/tex], then the equation that models the situation is:
[tex]v_{f}^{2} = 2500-64.348\cdot (s_{f}-4)[/tex]
Then, we clear the final position of the softball:
[tex]-\frac{v_{f}^{2}-2500}{-64.348} = s_{f}-4[/tex]
[tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex]
The equation that models the situation is [tex]s_{f} = 4+\frac{v_{f}^{2}-2500}{64.348}[/tex].
Javier often orders party trays from his favorite Mexican food restaurant for company events. For a recent company event, he spent $259 on 4 burrito platters and 2 taco platters. For a company meeting, he spent $284 on 4 burrito platters and 4 taco platters. How much does each type of platter cost?
and
Jeff is a shoe salesman, and he works on commission. This week, there is a special incentive to sell shoes and boots by a certain company. Yesterday, Jeff sold 8 pairs of shoes and 7 pairs of boots, earning $188 in commission. Today, he sold 8 pairs of shoes and 6 pairs of boots, earning a total commission of $168. How much does Jeff earn for the sale of each type of footwear?
Answer:
1. 1 Burrito Platter = $58.50 , 1 Taco platter = $12.50
2. One pair of boots = $20 , One pair of shoes = $6
Step-by-step explanation:
1. Let the cost of one burrito platter be x and one taco platter be y.
4x + 2y = 259 --- Equation 1
4x + 4y = 284 --- Equation 2
Equations 2-1: 4x + 4y - 4x - 2y = 284 - 259
2y = 25
y = 25 ÷ 2
y = 12.50 (Taco platter)
Substitute y = 12.50 into Equation 1:
4x + 2y = 259
4x + 2(12.50) = 259
4x + 25 = 259
4x = 259 - 25
= 234
x = 234 ÷ 4
x = 58.50 (Burrito platter)
2. Let the cost of one pair of boots be x and one pair of shoes be y.
7x + 8y = 188 --- Equation 1
6x + 8y = 168 --- Equation 2
Equations 1-2: 7x + 8y - 6x - 8y = 188 - 168
x = 20 (Boots)
Substitute x = 20 into Equation 2:
6x + 8y = 168
6(20) + 8y = 168
120 + 8y = 168
8y = 168 - 120
= 48
y = 48 ÷ 8
y = 6 (Shoes)
One year, Joey Chestnut won a hot dog eating contest by eating 66 hot dogs
in 12 minutes. If he ate at a constant rate, fill in the blank in the ratio table
to determine how many hot dogs he can eat in 4 minutes.
HELP ME REALLY FAST PLSSSS IM BEGGINGG YOUUUUUU I NEED HELP RNNNN
29. My grandson makes wall hangings by stitching
together 16 square patches of fabric into a 4 x 4
grid. I asked him to use patches of red, blue,
green and yellow, but to ensure that no patch
touches another of the same colour, not even di-
agonally.
The picture shows an attempt which fails only
because two yellow patches touch diagonally.
In how many different ways can my grandson
choose to arrange the coloured patches correctly?
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Answer:
168
Step-by-step explanation:
Below are shown the 7 different kinds of arrangements that can be made. Each of these can be permuted into 24 different arrangements by assigning colors in a different order than the one used here:
{1, 2, 3, 4} ⇒ {green, blue, red, yellow}
Then the total number of possible correct colorings is 7·24 = 168.
__
These colorings were found using a computer program that identified all 168 viable colorings, then eliminated permutations. It started by identifying ways to color 2 rows, then adding rows based on that.
_____
You'll notice that the last on the attached list most closely matches the one in the problem statement.
A band is paid $50 for performing at a restaurant. For each customer that eats at the restaurant, the band is paid $2. If the band made $142 in one night, how many customers ate at the
restaurant?
Answer:
There were 46 customers who ate at the restaurant.
Step-by-step explanation:
First we need to subtract the total by how much the ban was paid to perform.
$142 - $50 = $92
$92 ÷ 46 = $2
What numbers are prime numbers?
Answer:
C
Step-by-step explanation:
all four numbers in c do not have any other factors other than 1 and itself. All quotients of the number are not whole numbers.
PLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answerPLz right answer
Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri
Answer:
One hour after starting
Step-by-step explanation:
Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.
Now, when they catch each other, the distance moved is the same.
So, d = d'
2(t + 0.5) = 3t
expanding the brackets, we have
2t + 2 × 0.5 = 3t
2t + 1 = 3t
collecting like terms, we have
3t - 2t = 1
simplifying, we have
t = 1
So, Cindy will catch Teri one hour after starting.
Which real-world story is represented by the problem (-15.85) + 26.58? Check all that apply. (A) Chey returned a CD that cost $15.85 and bought a shirt for $26.58. The sum is the amount the store owes him. (B) Chey returned a jacket that cost $26.58 and bought a book for $15.85. The sum represents the amount the store owes him. (C) Chey bought a shirt that cost $26.58 and a CD that cost $15.85. The sum represents his change. (D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Answer:
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
Step-by-step explanation:
Which real-world story is represented by the problem (-15.85) + 26.58?
Comparing the options given below,
The correct option is
(D) Chey has a gift card with a balance of $26.58 and bought a hat that cost $15.85. The sum is the balance on his gift card.
This is because, buy a hat that cost $15.85 = -15.85
He has a balance is $26.58 on his credit card.
Hence: $26.58 - $15.85
Hence, option D is correct
Answer:
B & D
Step-by-step explanation:
B) Use the table of values to determine if this
relationship is linear or non-linear
Answer:
Step-by-step explanation:
Does 4/10 simplify to 1/4?
No.
Yes.
Answer:
No.
Explanation:
4/10 cannot be simplified to 1/4. 4/10 is simplified to 2/5.
The decimal form is 0.4
Hopefully this is correct. Good luck with your studies.
4/10 = 2/5 which is not simplify to 1/4
so the answer is NO.
PLEASE HELP DUE IN 30 MINUTES :((
Which best describes the effect on the graph of f(x) = 4x+8 if the y-intercept is changed to -3?
Write an expression for the area of this rectangle, multiplying out your answer
(x+3) x (x+2)
Step-by-step explanation:
it should be *(x+3) x (x+2)* because area of rectangle = length x breadth
