Answer:
[tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
Step-by-step explanation:
A quadratic in the form [tex]ax^2+bx+c=y[/tex] crosses the [tex]x[/tex]-axis when [tex]y=0[/tex].
The first step is replacing [tex]f(x)[/tex] with [tex]y[/tex].
So: [tex]y= -5x^2+9x-4[/tex]. With the information above, we can find the [tex]x[/tex] intercepts by setting [tex]y = 0[/tex].
Therefore [tex]0=-5x^2+9x-4[/tex].
Now we can use the quadratic formula because it is in the form [tex]ax^2+bx+c=0[/tex].
Note the quadratic formula: [tex]\frac{-b\frac{+}{-}\sqrt{b^2-4ac} }{2a } = x[/tex].
To find the values of [tex]a[/tex],[tex]b[/tex] and [tex]c[/tex] we can compare the equation to the general equation.
Therefore: [tex]a=-5[/tex], [tex]b=9[/tex] and [tex]c=-4[/tex].
Now put these values into the quadratic formula:
[tex]\frac{-9\frac{+}{-}\sqrt{(9)^2-4(-5)(-4)} }{2(-5) } = x[/tex]
And simplify:
[tex]\frac{-9\frac{+}{-}\sqrt{81-80} }{-10 }[/tex] , [tex]\frac{-9\frac{+}{-}\sqrt{1} }{-10 }[/tex].
[tex]\sqrt{1} =1[/tex], therefore [tex]x = \frac{-9\frac{+}{-}1 }{-10 }[/tex]
Now we can have two values for [tex]x[/tex]. One when we take away the discriminant ([tex]b^2-4ac[/tex]) and one when we add it.
So [tex]x = \frac{-10}{-10} = 1[/tex]
or
[tex]x = \frac{-8}{-10} = 0.8[/tex]
Therefore [tex]x[/tex]-intercepts at [tex](1,0)[/tex] and [tex](0.8,0)[/tex]
How long will it take an investment of $400 earning 3% annual interest compounded monthly to triple in value?
Answer:
$12 is 3% of $400, triple the value is $1200, it would take 100 months, or 8 years
What is the equation of a line parallel to y=-3/2x+9
Answer:
y = - [tex]\frac{3}{2}[/tex]x
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
URGET PLEASE HELP
Let f(x) = 5x4 – 2x2 – 8x + 3 and g(x) =
-7x4 + 6x3 + 10x²
x + 4. What is f(x) + g(x)?
Answer:
f(x)+ g(x) = [tex]-2x^{4} + 6x^{3} +8x^{2} -8x+3[/tex]
Step-by-step explanation:
You just have to add the like terms separately,
5-7 in [tex]x^{4}[/tex]
only 6 in [tex]x^{3}[/tex]
10-2 in[tex]x^{2}[/tex]
-8 in x
and 3 as the constant
which statement does not describe a normal distribution?
A: The median is equal to the mean
B: The distribution is not symmetric
C: The number of observations trails off as you move away from the mean
D: Most of the observations are near the mean
Answer:
B.
Step-by-step explanation:
The distribution is symmetric
Answer:
B. The distribution is not symmetric
Step-by-step explanation:
Sixty percent of the people surveyed use sunscreen. A random number generator was used to simulate the results of asking the next three people. The numbers 0–5 represent people who use sunscreen, and the numbers 6–9 represent people who do not use sunscreen. What is the probability that two of the next three respondents use sunscreen?
Answer:
[tex]Pr = 0.50[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Probability that 2 of 3 use sunscreen
From the attached data, we have:
[tex]S = \{275, 738, 419, 582, 987, 436, 578, 472, 178, 839\}[/tex]
[tex]n(S) = 10[/tex]
Events where 2 of the 3 uses sunscreen is:
[tex]x = \{275, 419, 582, 436, 472\}[/tex] --- i.e. where 0 -5 represents sunscreen
[tex]n(x) = 5[/tex]
So, the required probability is:
[tex]Pr = \frac{n(x)}{n(S)}[/tex]
[tex]Pr = \frac{5}{10}[/tex]
[tex]Pr = 0.50[/tex]
You have have a bag of marbles (3 purple, 5 green, and 4
yellow)
Write your probability in fraction form-no need to reduce
1a) What is the Plyellow marble)=
1b) What is the P(purple marble)=
1c) What is the Plyellow marble "and" purple marble)
1a) 4/12, 1b) 3/12, 1c) 12/12
1a) 4/100, 1b) 3/100, 1c) 12/100
1a) 4/12, 1b) 3/12, 1c) 12/144
1a) 4, 1b) 3, 1c) 12
Answer:
4/12 = yellow
3/12 = purple
12/144 = yellow and purple
Step-by-step explanation:
the first two are pretty self explanitory. The last one requires you to multiply the answers of the first two together. Make sure you multiply both the top and the bottom (don't use common denominator here)
Answer:
The answer to this is the 3rd choice which is 1a) 4/12, 1b) 3/12, 1c) 12/144.
Step-by-step explanation:
This is pretty simple. To identify the probability of the yellow marbles, you can find the amount of yellow marbles and the total amount of marbles. You take it as a fraction which would be 4/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
Probability of yellow marbles : 4/12
To identify the probability of the yellow marbles, you can find the amount of purple marbles and the total amount of marbles. You take it as a fraction which would be 3/12.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of purple marbles : 3 purple
Probability of purple marbles : 3/12
To identify the probability of both the yellow and purple marbles, you can find the amount of yellow and purple marbles along with the total amount of marbles. Since we know this from the work above, you just need to multiply both probabilities. You take it as a fraction which would be 12/144.
The total amount of marbles : 3 purple + 5 green + 4 yellow = 12 total marbles
The amount of yellow marbles : 4 yellow
The amount of purple marbles : 3 purple
Probability of yellow marbles : 4/12
Probability of purple marbles : 3/12
Probability of both marbles : 12/144
Find the value of x
Answer:
The value of [tex]x[/tex] is 2.
Step-by-step explanation:
Given that [tex]\overline{HI}[/tex] and [tex]\overline{HJ}[/tex] are secant to arcs [tex]HI[/tex] and [tex]HJ[/tex], which have the same central angles. Therefore, [tex]HI = HJ[/tex] due to symmetry:
[tex]HI = HJ[/tex] (1)
[tex]2\cdot x + 1 = 5\cdot x - 5[/tex]
[tex]3\cdot x = 6[/tex]
[tex]x = 2[/tex]
Hence, the value of [tex]x[/tex] is 2.
Mr. Bates and Mr. Z want to refinish the community center gym floor. The rectangular floor is 15.2 m wide and 25.6 long. If each gallon of polyurethane covers about 180 square meters, how many gallons should Mr. Bates and Mr. Z buy? *
Answer:
3 gallons
Step-by-step explanation:
area = 15.2 x 25.6 = 389.12 m²
389.12/180 = 2.16
3.2 ft 2 fti2 ft 4 ft ft2 plz help
what's the question?
Answer:
Step-by-step explanation:
Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.
Answer: The total would be 40.53
Step-by-step explanation:
Can somebody help me out my grade are bad
Answer:
There’s only 1 horizontal line of symmetry
Step-by-step explanation:
Answer:
there is only 1 line of symmetry that is horizontal
Im doing an extra practice and need help with this one problem
Answer:
it might be this 8.74777778 im not sure if it is tho so if im wrong then im sorry
Step-by-step explanation:
Pls help me fast thx
Answer:
The answer is C
Step-by-step explanation:
The equation y = 450x represents the number of miles alrplane traveled y ot x hours. The graph below shows the number miles a 5hour flight , after 2 hours which airplane had traveled the farther and by how much ? I need help
Answer:
y = 200x.....the airplane travels 8000 miles in 40 hrs
Step-by-step explanation:
Answer:
Airplane W by 100 miles
Step-by-step explanation:
Airplane Z
y = 450x
Distance travelled after 2 hours
y = 450(2)
y = 900 miles
------------------------
Airplane W
Distance travelled after 2 hours
Reading from the graph
1000 miles
----------------------
after 2 hours which airplane had traveled the farther
Airplane W
and by how much
1000 - 900 = 100
Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?
Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.
Answer:
N= 5
Step-by-step explanation:
30 ÷ 6 = n
n = 5
30 ÷ 6 = 5
Hope this helps!!
Will mark brainliest!
Find the Volume of the Sphere. Use 3.14 for pi. Round your answer to the nearest whole number.
Answer:
It is 14130 mm^3
Step-by-step explanation:
So the equation for the volume of a sphere is (4/3) (3.14) r^3. So since we already have the radius, we just plug it in to get the answer:
(4/3) (3.14) r^3
(4/3) (3.14) 15^3
(4/3) (3.14) 3375
(4/3) (10597.5)
14130 mm^3
Find the magnitude and directon of F +ū.
Answer:
Step-by-step explanation:
On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.
Answer:
After a quick online search, I've found that the complete question is:
a) Parker paid $4.50 for three pounds of gummy candy. Assuming each pound of gummy candy costs the same amount, complete the table of values representing the cost of gummy candy in pounds.
Then we want to graph the points, and then comes our question:
c) On the same day, Parker’s friend, Peggy, was charged $5 for 1 1/2 lb. of gummy candy. Explain in terms of the graph why this must be a mistake.
So first, we know that this is a proportional relationship (each pound of candy costs the same)
And 0 pounds of candy should cost $0.
Then the relation between y (price) and x (number of lb) is:
y = k*lb
where k is the cost per lb.
Knowing that Parker paid $4.50 for three pounds of gummy candy, the relation is:
$4.50 = k*3lb
($4.50/3lb) = k = $1.50/lb
Then the linear relation is:
y = ($1.50/lb)*x
Now, in this question we can see that Parker's friend was charged $5 for ( 1 and 1/2) lb of candy.
If we replace those values in the equation, we get:
$5 = ($1.50/lb)*(1 + 1/2)lb = $2.25
This equation is false, then, in terms of the graph, the point ( (1 and 1/2)lb, $5) does not belong on the graph that you found in the previous points.
Nelson got a pack of 12 pencils. he took 3 pencils and put it in is desk at school and 2 pencils to put in is locker at school. what is the fraction of total pencils that Nelson took to school
1 1\2. so he had that fraction as all after
The diameter of a circle is 50.267 feet. Find the circumference of the circle and use 3.14 for π. Round your answer to the nearest whole number.
The circumference is
feet.
Answer:
C=2πr=2·π·25.13≈157.9153
Step-by-step explanation:
A bag contains 20 candies: 9 pink candies, 8 red candies, and the rest green candies. Without looking, Sarah pulls out a piece of candy. What is the probability of Sarah pulling out a green candy what is heat transfer?
( A) 1/10
( B) 3/10
(C) 3/20
(D) 1/20
Answer:
The answer is C
Hope this helps!
Mark me brainliest if I'm right ;)
hii! i’ll give brainliest pls help
Answer:
the answer's option 3 * landslide *
Step-by-step explanation:
-
Answer:
Option 3
Step-by-step explanation:
A landslide is the most occurring disaster for people living in hills
Hope it helps
Jane wants to pick out an outfit for the school dance . She can choose from 3 pairs of pants 5 shirts and 2 pairs of shoes . How many different outfits dose Jane have to choose from?
Answer:
30
Step-by-step explanation:
we multiply each number. There are 3 pairs of pants 5 shirts and 2 pairs of shoes, so we multiply 3x5x2 to get 30
She should pick out this outfit...
-4 -11 = ?
x X 3 = 15
4 x 2 x 3x = 48
Answer Choices:
A) -15, 5, 2
B) 15, 4, 13
C) 11, 4, 8
PLEASE HELP!
Answer:
A) -15, 5, 2
Step-by-step explanation:
Step-by-step explanation:
-4 -11 = ?
x X 3 = 15
4 x 2 x 3x = 48
Answer Choices:
B) 15, 4, 13
A.) Kokochi walks 4 and 1 twelfth miles in one day. He walks the same distance for one week. How many miles does Kokochi walk?
B.) The next week, Kokochi walks 8 and 1 fourth miles in one day for a week. How many miles does Kokochi walk?
C.) What is the distance Kokochi walked if the answers to part A and B were combined?
Answer:
A) 28 7/12, or 343/12, or 28.583
B) 57.75
C) 86.3 or 86 1/3
Step-by-step explanation:
Which lists the fractions from least to greatest?
A.-1/3,-2/3,1/3
B.1/3,-1/3,-2/3
C.1/3,-2/3,1/3
D.-2/3,1/3,-1/3
E.-2/3,-1/3,1/3
Answer:
E
Step-by-step explanation:
Cody purchased a car for $4500 that will depreciate 28% a year. Write an exponential growth/decay equation that represents the value of Cody's car overtime. How much will the car be worth in 15 years? Round to the nearest cent.
Answer:
$32.60
Step-by-step explanation:
This question has to to do with exponential decay. The formula is given as:
y = a(1 - r)^x
y = Value of the material after x years
a = Initial value of the material
x = Time in years
r = rate of depreciation or decay
Therefore,
y = 4500 × (1 - 0.28)¹⁵
y = 4500 × 0.72¹⁵
y = $32.598675906
y = Approximately = $32.60
Therefore the of the car after 15 years = $32.60
Find the range. 15,18,13,17,15
Convert 29.5 kilograms to grams.
Enter your answer in the box.
Answer:
29,500 g
Step-by-step explanation:
1 kg = 1000 g.
29500
Step-by-step explanation:
29 multiplied by 1000 is 29k grams and if we add the .5 kilos which is basically 500 grams we get 29500 grams.
The radius of a circle is 2 m. Find the circumference to the nearest tenth.
Answer:
25.13 or 25.1
Step-by-step explanation:
2 x pi/3.14x4
Answer:
12.6
Step-by-step explanation:
circumference=2πr
=2 x 3.142 x 2
= 12.6 to the nearest tenth