Answer:
b could be -1 or 0
Step-by-step explanation:
f(x) = 3x^2 +bx+2
if it has no real roots, the discriminant must be less than zero
b^2 -4ac <0
a=3 b=b c=2
b^2 - 4(3)(2) <0
b^2 - 24 <0
b^2 < 24
Taking the square root of each side
b< 2 sqrt(6) and b > 2 sqrt(6)
b could be -1 or 0
PLEASE HELP IM BEGGING PLEASEEEE SEE ATTACHED DOCUMENT
Answer:
Step-by-step explanation:
5.
3x-1 = 4x+13
-1=x+13
12=x
3(12)-1
36-1
Answer: 35
Second 5.
I'm not completely sure what this is referring to (please tell me if there is another part for this because there isn't any numbers such as <1 shown on the picture.)
6.
90+40+x=180
130+x=180
50=x
Answer: 50
7.
x+71=90
x=19
Answer: 19
If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).
Answer:
49
Step-by-step explanation:
Answer:6144
Step-by-step explanation:
If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).
f(1)=
f(1)=
\,\,6
6
f(\color{darkgreen}{2})=
f(2)=
\,\,4f(\color{darkgreen}{2}-1)
4f(2−1)
=
=
\,\,4f(1)
4f(1)
=
=
\,\,4(6)
4(6)
Substitute f(1)=6
f(2)=
f(2)=
\,\,24
24
f(\color{darkgreen}{3})=
f(3)=
\,\,4f(\color{darkgreen}{3}-1)
4f(3−1)
=
=
\,\,4f(2)
4f(2)
=
=
\,\,4(24)
4(24)
Substitute f(2)=24
f(3)=
f(3)=
\,\,96
96
f(\color{darkgreen}{4})=
f(4)=
\,\,4f(\color{darkgreen}{4}-1)
4f(4−1)
=
=
\,\,4f(3)
4f(3)
=
=
\,\,4(96)
4(96)
Substitute f(3)=96
f(4)=
f(4)=
\,\,384
384
f(\color{darkgreen}{5})=
f(5)=
\,\,4f(\color{darkgreen}{5}-1)
4f(5−1)
=
=
\,\,4f(4)
4f(4)
=
=
\,\,4(384)
4(384)
Substitute f(4)=384
f(5)=
f(5)=
\,\,1536
1536
f(\color{darkgreen}{6})=
f(6)=
\,\,4f(\color{darkgreen}{6}-1)
4f(6−1)
=
=
\,\,4f(5)
4f(5)
=
=
\,\,4(1536)
4(1536)
Substitute f(5)=1536
f(6)=
f(6)=
\,\,6144
6144
\text{Geometric Sequence:}
Geometric Sequence:
Common ratio of 4
6,24,96,384,1536,6144, ...
6,24,96,384,1536,6144,...
\text{Final Answer:}
Final Answer:
6144
find the ratio of volumes of two cuboids whose sides are in the ratio 3/1
Answer:
The ratio of volumes is of 27.
Step-by-step explanation:
Volume of a cuboid:
A cuboid has dimensions length l, width w and height h. The volume is given by:
[tex]V = lwh[/tex]
Multiplying dimensions by 3:
This means that l = 3l, w = 3w, h = 3h. So
[tex]V_m = 3l(3w)(3h) = 3*3*3*lwh = 27lwh[/tex]
Ratio of volumes:
[tex]\frac{V_m}{V} = \frac{27lwh}{lwh} = 27[/tex]
The ratio of volumes is of 27.
How do you write 6.00 × 10–5 in standard form?
Answer:
[tex]60x-5[/tex]
Step-by-step explanation:
Multiply 10 by 6
60x - 5
a rectangle has a base of 10 and height of 12 what is its area
Answer:
120 units squared
Step-by-step explanation:
Chau rented a truck for one day. There was a base fee of $18.95, and there was an additional charge of 95 cents for each mile driven. Chau had to pay $198.50
when he returned the truck. For how many miles did he drive the truck?
Let's say John drove 2 miles. He had to pay the base fee of $18.99 and $.75(2) = $1.50, so he paid $20.49 total.
We are given his total, though, and asked to find the mileage.
18.99 + .75m = 199.74
-18.99 -18.99
.75m = 180.75
.75 .75
m = 241
So, John drove 241 miles.
Hope this helps!
I
Plz help PppppLz plz someone worth 21 pt and brainlest
Answer:
This is a case of direct variation. Hence,
210/1=x/2
x=420
since 2 pandas eat it each day hence
420/7
=60
60 pounds is the answer.(sure)
Step-by-step explanation:
Hope it helps you.
Answer: 60 pounds
Step-by-step explanation:
210 pounds a week
Divide by 7 days (a week)
Equals 30 pounds a day/ per panda
There is 2 pandas so 30 pounds times 2 equals 60 pounds
at what rate percent of interest per annum will #700 gain an interest of #84 in 3 years
Answer:
4% per annum
Step-by-step explanation:
Recall :
Simple interest = principal * rate * time
Given that :
Time = 3 ; simple interest = 84 ; principal = 700
84 = 700 * rate * 3
84 = 2100 * rate
Rate = 84 /2100
= 0.04
= 0.04 * 100% = 4% per annum
DO NOW
1)_Write an equation that represents the
line whose slope is 5 and has a (-2,4) on
the line.
Answer:
y=5x+14
Step-by-step explanation:
Plug this into the equation y-y1=m(x-x1) where m is the slope. y1 is equal to 4, x1 is equal to -2, and m is equal to 5. This will make the equation y-4=5(x--2). This is equal to y-4=5(x+2). Use the distributive property to get y-4=5(x)+5(2). Simplify to get y-4=5x+10. We want to isolate y so we have to add 4 to both sides. This will be equal to y=5x+10+4. Combine like terms to get y=5x+14. Therefore, the equation is y=5x+14.
If this helps please mark as brainliest
7. There are 42 pupils in a class. 12 of them are Malays while the rest are
Chinese. 1/4 of the boys and 12 of the girls are Malay. How many boys
are there in the class?
I NEED THIS ASAP!!!
Answer:
There are 36 boys in the class.
Step-by-step explanation:
This question is solved by a system of equations.
I am going to say that:
x is the number of boys
y is the number of girls.
There are 42 pupils in a class.
This means that [tex]x + y = 42[/tex].
Since we want x, we have that [tex]y = 42 - x[/tex]
12 of them are Malays while the rest are Chinese. 1/4 of the boys and 1/2 of the girls are Malay.
This means that:
[tex]\frac{x}{4} + \frac{y}{2} = 12[/tex]
Since [tex]y = 42 - x[/tex]
[tex]\frac{x}{4} + \frac{42 - x}{2} = 12[/tex]
Multiplying everything by 4.
[tex]x + 84 - 2x = 48[/tex]
[tex]-x = -36[/tex]
[tex]x = 36[/tex]
There are 36 boys in the class.
What is the shape of the base of the cylinder?
Answer:
circle
Step-by-step explanation:
Matthew decided to bake cupcakes for the school fundraiser. He wants to make 2 dozen cupcakes--one dozen strawberry and one dozen chocolate. He needs 2 1/4 cups of flour for the strawberry cupcakes and 2 1/3 cups of flour for the chocolate cupcakes, but he only has 4 cups of flour. Which two expressions could be used to correctly determine the amount of flour, in cups, Matthew still needs to bake his two dozen cupcakes? 2 part what is the total amount of flour, in cups, Mathew still needs for his cupcakes? NO LINK
Answer:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\\frac{7}{12}\:\text{more cups of flour}[/tex]
Step-by-step explanation:
The total amount of flour, in cups, Matthew needs is equal to [tex]2\frac{1}{4}+2\frac{1}{3}=4\frac{7}{12}[/tex]. Because he only has 4 cups, we can write the following expression to determine how many additional cups of flour he needs:
[tex]4+c=2\frac{1}{4}+2\frac{1}{3},\\\\4+c=\frac{7}{12}, \\\\c=\boxed{\frac{7}{12}\:\text{more cups of flour}}[/tex]
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours. What is the approximate standard deviation of the sampling distribution of the mean for all samples with n
Answer:
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean life expectancy of a certain type of light bulb is 945 hours with a standard deviation of 21 hours
This means that [tex]\mu = 945, \sigma = 21[/tex].
What is the approximate standard deviation of the sampling distribution of the mean for all samples of size n?
[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
The approximate standard deviation of the sampling distribution of the mean for all samples of size n is [tex]s = \frac{\sigma}{\sqrt{n}} = \frac{21}{\sqrt{n}}[/tex]
What is the volume of the given picture below? ( HELP PLEASE )
Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
A spinner has three unequal sections: red, yellow, and blue. The table shows the results of Nolan's spins. Find the experimental probability of landing on each color. Enter your answers as simplified fractions.
Red 12
Yellow 18
Blue 5
Answer:
red: 12/35
yellow: 18/35
blue: 1/7
Step-by-step explanation:
The experimental probability is the total number of each outcome over the total outcomes. The total outcomes would be the sum, 12 + 18 + 5, or 35.
If we are looking for the experimental probability of red, we divide the spins on red by the total:
red - [tex]\frac{12}{35}[/tex]
If we are looking for the experimental probability of yellow, we divide the spins on yellow by the total:
yellow - [tex]\frac{18}{35}[/tex]
If we are looking for the experimental probability of blue, we divide the spins on blue by the total:
blue - [tex]\frac{5}{35}[/tex] = [tex]\frac{1}{7}[/tex]
common
factors of 10 and 20
Answer:
Step-by-step explanation:
common factor of 10 and 20 is 2 and 10 because 2 and 10 are the numbers which didides both the number exactly.
Please someone help me here....
Answer:
n > 62
Step-by-step explanation:
All values in the set are greater than 62.
Answer: n > 62
Answer:
Top left corner
Step-by-step explanation:
Which of the following statements is equivalent to 28 + 16?
Answer:
You need to show the statements or I can't help.
The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
6, 18, 54, ...
Find the 9th term.
Answer:
19683
Step-by-step explanation:
1. find the ratio
this is geometric so..
54÷18=3
18÷6=3
2. set up the problem
3(3)^9-1
3^8= 6561
6561(3)=19683
The 9th term of a sequence is 39, 366.
What is Geometric Progression?In mathematics, a sequence known as a geometric progression (GP) is one in which each following term is generated by multiplying each preceding term by a constant integer, known as a common ratio. This progression is sometimes referred to as a pattern-following geometric sequence of numbers.
We have the series: 6, 18, 54, ...
as, the series in Geometric Progression.
So, the common ratio = 18/6 = 3
and, 54/ 18= 3
Using the formula
[tex]a_n[/tex] = a[tex]r^{n-1[/tex]
So, for n= 9
[tex]a_9[/tex] = a[tex]r^{9-1[/tex]
[tex]a_9[/tex] = a[tex]r^{8[/tex]
[tex]a_9[/tex] = 6 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
[tex]a_9[/tex] = 39,336
Learn more about geometric Progression here:
https://brainly.com/question/4853032
#SPJ7
The value of the correlation coefficient is always in the range
a. 0 to 1 b. 1 to 1 c. 1 to 0
Answer:
-1 to 1
Step-by-step explanation:
The correlation Coefficient gives the degree of relationship between two variables while also giving an hint about the type of relationship between them, (positive or negative). Correlation Coefficient could take any value bwuqwen - 1 and 1. With values closer to - 1 or 1 indicating a strong relationship between the variables, Coefficient of 0 means no relationship and a negative value means negative relationship while a positive value plies a positive relationship.
if f(x)= 9+3x, find f(-2)
Answer:
f(-2) =3
Step-by-step explanation:
f(x) = 9+3x
Let x=-2
f(-2) = 9+3(-2)
= 9-6
= 3
f ( -2 ) = 9 + 3( - 2 )
f ( -2 ) = 9 - 6
f ( -2 ) = 3
HELP!!!!
5^m x (5^-7)^m = 5^12
Answer:
not sure lol but, like it up
Step-by-step explanation:
Which of the following statements are true about solids shown above
Check all that apply
A prism a has a lateral surface are of 60 cm 2
B prism b has a total surface are of 110 cm 2
C prism b has larger surface area
D prisms A and B have different values for lateral surface area
Ans its b and c
Step-by-step explanation:
Casey boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5.6 radians per minute and has a radius of 50 feet. The center of the Ferris wheel is 55 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
a. Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
b. Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
Solution :
It is given that :
Casey boarded a Ferry wheel at position of 3 'o' clock.
The angular speed of the Ferry wheel = 5.6 radians per minute
The radius of the Ferry wheel = 50 feet
The height of the center wheel of the Ferry from the ground = 55 feet
Let the number of minutes be = t
a). The expression of the varying number of radians θ is given by :
After t minutes, θ = angle swept
θ = 5.6 t radians
b). Finding the height from the center of the wheel.
We know that : y = r sin θ
Given r = 50 feet
So, y = 50 sin (5.6 t) feet
Therefore, the height above the ground can be found by :
h = y + 55 (from ground)
h = 50 sin (5.6 t) + 55 feet
4 more than a number is 12
Answer:
555
Step-by-step explanation:
Answer:
4 + x = 12
x = 8
Step-by-step explanation:
4 more than a number is 12
I will represent the mystery number as "x"4 + x = 12
x = 8
help me please I have to pass
Answer:
Step-by-step explanation:
15% of 400
15/100*400
15*400/100
6000/100
60
therefore ur answer is 60
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex] \frac{15}{100} \times 400 \\ =15 \times 4 \\ = 60 [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
Meh need help, Im so confued
Answer:
3/6=4/8
Step-by-step explanation:
2/6=3/8
2*4 6*4=8/24
3*3 8*3=9/24
2/6 does not equal 3/8
3/6=4/8
3*4 6*4= 12/24
4*3 8*3=12/24
3/6=4/8 is true
If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
3
second
first
1 2
4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
22,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
55,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter
Answer:
1/12
Step-by-step explanation:
3/36=1/12
I need the answer to this pls.
Answer:
C
Step-by-step explanation: