Answers
Answer:
x= -9/4 or -3
second one is x=5/6 or -8
Answer:
see explanation
Step-by-step explanation:
Given
4x² + 21x + 27 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 4 × 27 = 108 and sum = 21
The factors are 12 and 9
Use the factors to split the x- term
4x² + 12x + 9x + 27 = 0 ( factor the first/second and third/fourth terms )
4x(x + 3) + 9(x + 3) = 0 ← factor out (x + 3) from each term
(x + 3)(4x + 9) = 0
Equate each factor to zero and solve for x
x + 3 = 0 ⇒ x = - 3
4x + 9 = 0 ⇒ 4x = - 9 ⇒ x = - 2.25
--------------------------------------------------------------------
Following the same method as the previous question
Given
6x² + 43x - 40 = 0
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 6 × - 40 = - 240 and sum = + 43
The factors are + 48 and - 5, thus
6x² + 48x - 5x - 40 = 0
6x(x + 8) - 5(x + 8) = 0
(x + 8)(6x - 5) = 0
x + 8 = 0 ⇒ x = - 8
6x - 5 = 0 ⇒ 6x = 5 ⇒ x = [tex]\frac{5}{6}[/tex]
Related Questions
Um homem estava indo para a Bahia com suas sete irmãs. Cada irmã carregava sete caixas, cada caixa tinha sete gatos,cada gato estava com sete filhotes. Quantos estavam indo para a Bahia?
Answers
Answer:
2,752
Step-by-step explanation:
English Translation
A man was going to Bahia with his seven sisters. Each sister carried seven boxes, each box had seven cats, each cat had seven puppies. How many were going to Bahia?
Solution
1 man was going to Bahia
With his 7 sisters.
Total nunber of humans = 1 + 7 = 8 humans
Each of the 7 sisters carried 7 boxes.
Each of the 49 boxes had 7 cats
Total number of cats = 7 × 7 × 7 = 343 cats
Each of the 343 cats had 7 puppies
Total number of puppies = 7 × 343 = 2401 puppies.
Total number of living things going to Bahia
8 humans + 343 cats + 2401 puppies
= 2,752
Hope this Helps!!!
HELP PLEASE
18 miles= how many feet
_________feet
Answers
Answer:
18 miles= how many feet
____95,040_____feet
Step-by-step explanation:
happy to help ya:)
I need to know the answer
Answers
Answer:
y=3.65
X=11.85
Step-by-step explanation:
sin(60)=y/12
sin(60)×12=y
y=3.65
sin(30)=X/12
sin(30)×12=X
X=11.85
Solve 3 (3 - 3x) +4= -5.
Answers
Answer:
x=2
Step-by-step explanation:
3 (3 - 3x) +4= -5
Subtract 4 from each side
3 (3 - 3x) +4-4= -5-4
3 (3 - 3x)= -9
Divide by 3
3/3 (3 - 3x) = -9/3
3-3x = -3
Subtract 3 from each side
3-3x-3 = -3-3
-3x = -6
Divide by -3
-3x/-3 = -6/-3
x = 2
A rectangle is 8 feet long. Its width is represented by "seven plus x feet." Which expression represents the area, in square feet, of the rectangle?
Answers
Answer:
[tex] \boxed{\sf Area \ of \ the \ rectangle = (8x + 56) \ square \ feet} [/tex]
Given:
Length = 8 feet
Width = (7 + x) feet
To find;
Area of the rectangle
Step-by-step explanation:
[tex] \sf Area \: of \: the \: rectangle = Length \times Width \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \times (7 + x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8 \times 7) + (8 \times x)\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 56 + 8x\\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = (8x + 56) \: square \: feet[/tex]
63 as a product of prime factors
Answers
Answer:
3*3 *7
Step-by-step explanation:
63 = 9*7
7 is prime but 9 is not
Break 9 into its factors
= 3*3 *7
All of these are prime
Answer:3x3x7
Step-by-step explanation:
Sean is drinking a slushy as fast as he can.
The amount of slushy left in the cup (in milliliters) as a function of time in seconds) is graphed.
How much slushy did sean drink every 5 seconds
Answers
Answer:
40 millimetres
Answer:
40
Step-by-step explanation:
nothing to do + tired = ????
Answers
Answer: Go and do something :)
Step-by-step explanation:
Get off your phone and get the motivation to fo and find something to do for now :)
For a t distribution with 16 degrees of freedom, find the area, or probability, in each region.
a. To the right of 2.583
Answers
Answer:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1- P(t_{16} <2.583)[/tex]
And if we use the t- table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
Step-by-step explanation:
For this case we know that the degrees of freedom are given:
[tex] df = n-1= 16[/tex]
And we want to find the following probability:
[tex] P(t_{16}>2.583)[/tex]
And for this case we can use the complement rule and we got:
[tex]P(t_{16}>2.583)= 1-P(t_{16} <2.583)[/tex]
And if we use the t-table with df =16, we got:
[tex]P(t_{16}>2.583)= 1-0.990= 0.01[/tex]
What is the value of x in the equation below? −3x + 14 = 4x − 7 *
Answers
Answer:
x=3
Step-by-step explanation:
-3x+14=4x-7
-3x going to right and -7 is going to left and change sign
14+7=4x+3x
21=7x
21/7=3 , x=3
Answer:
-The value of [tex]x[/tex]:
[tex]x = 3[/tex]
Step-by-step explanation:
-Solve for the value of [tex]x[/tex]:
[tex]-3x + 14 = 4x - 7[/tex]
-Subtract both sides by [tex]4x[/tex] and combine [tex]-3x[/tex] and [tex]-4x[/tex] together:
[tex]-3x + 14 - 4x = 4x - 4x - 7[/tex]
[tex]-7x + 14 = -7[/tex]
-Subtract both sides by [tex]14[/tex]:
[tex]-7x + 14 - 14 = -7 -14[/tex]
[tex]-7x = -21[/tex]
-Divide both sides by [tex]7[/tex]:
[tex]\frac{-7x}{-7} = \frac{-21}{-7}[/tex]
[tex]x = 3[/tex]
So, the final answer is [tex]x = 3[/tex].
The volume of a sphere is 45001 m3. Find the length of the radius
of the great circle.
Answers
Answer:
[tex]\large \boxed{\text{22.07 m}}[/tex]
Step-by-step explanation:
The formula for the volume (V) of a sphere is:
V = ⁴/₃πr³
We can use this equation to calculate the radius (r).
[tex]\begin{array}{rcl}45001 & = & \dfrac{4}{3} \pi r^{3}\\\\33750 & = &\pi r^{3}\\10740 & = &r^{3}\\r & = & \textbf{22.07 m}\\\end{array}\\\text{The radius of the great circle is $\large \boxed{\textbf{22.07 m}}$}[/tex]
What is the area of a rectangles with the side lengths 7/6 inches and 6/7 inches?
Answers
Answer:
1 in^2
Step-by-step explanation:
area of a rectangle=l*w
l=7/6
w=6/7
7/6 * 6/7 = 1
The ratio of ages of kissi and esinam is 3:5 and esinam is 3:5 The sum of ages of all 3 is 147 years.whats the age difference between oldest and youngest ?
Answers
Answer:
48 years.
Step-by-step explanation:
Consider the complete question is "The ratio of ages of kissi and esinam is 3:5 and that of esinam and lariba is 3:5. The sum of ages of all 3 is 147 years. whats the age difference between oldest and youngest ?"
It is given that
Kissi : Esinam = 3:5 = 9:15
Esinam : Lariba = 3:5 = 15:25
So, the combined ratio is Kissi : Esinam : Lariba = 9:15:25
Let ages of Kissi, Esinam, Lariba are 9x, 15x and 25x.
Sum of ages of all 3 is 147 years.
[tex]9x+15x+25x=147[/tex]
[tex]49x=147[/tex]
[tex]x=3[/tex]
The value of x is 3. So, the age of all three are
[tex]Kissi=9x=9(3)=27[/tex]
[tex]Esinam=15x=15(3)=45[/tex]
[tex]Lariba=25x=25(3)=75[/tex]
Since Lariba is oldest and Kissi is youngest, therefore, the difference between their ages is
[tex]75-27=48[/tex]
Hence, difference between oldest and youngest is 48 years.
Use the data in the table to answer the question. Citations are "speeding tickets." You may fill in the table to help you answer the question. Original data Line of "best guess" Line of best fit Mph greater than speed limit Number of citations Outputs Residuals Outputs Residuals 5 3 7.5 6 10 10 15 5 20 6 Use a calculator or online resource to find the line of best fit. Note that values have been rounded. y = 0.7 x - 5.2 y = 0.7 x + 5.2 y = 0.07 x + 5.2 y = 0.07 x - 5.2
Answers
Answer: ŷ = 0.07X + 5.2
Step-by-step explanation:
Given the following :
Number of citations 5 - 7.5 - 10 - 15 - 20
Outputs Residuals 3 - - 6 - - 10 - 5 - - 6
Using the online regression calculator :
Line of best fit is represented by the equation:
ŷ = 0.06897X + 5.2069
ŷ = 0.07X + 5.2
From the line equation:
y = mx + c
With 0.07 = slope of gradient(m)
Intercept (c) = 5.2 (point where the line of best fit intersect the y_axis
x and y are values of x and y respectively
At a middle school, 30% of the students walk to school, 1/5 (20%) ride their bikes, 12.5 are dropped off by car, and the remaining students ride the bus to school.
Is there are 800 students who attend this school, how many students use each form of transportation?
Answers
Answer:
please give more clarification
Answer:
Walk: 240
Ride 160
Car 100
Rest 300
Step-by-step explanation:
Walk:
30%
.30 * 800 = 240
Ride
20%
.20 * 800 =160
Car
12.5%
.125 * 800 =100
Rest
100-30-20-12.5 =37.5
.375 * 800 = 300
What is the area of the yard?
Answers
Answer:
256
Step-by-step explanation:
Assuming that the length of his garage is the longer dimension (16), the area of the square yard must be 16*16=256 square units. Hope this helps!
What is the measure of L?
A. 25°
B. Cannot be determined
C. 39
D. 32°
Answers
Answer:
A. 25°
Step-by-step explanation:
25° is really the only logical answer.
Macy’s was offering a Memorial Day sale. The price of a shirt is now $21.25. The original price was $25. What is the percent of change from the original to the sale price?
Answers
Answer:
The original price drops by 15%.
Step-by-step explanation:
What was the drop in price? To answer that, subtract $21.25 from $25, which results in $3.75.
Now compare $3.75 to the original price, $25, through division, as follows:
$3.75
-------------- * 100% = 15%
$25
The original price drops by 15%.
What is the correct formula for calculating a 3 x 3 determinant?
a)abc+def+ghi-adg-beh-cfi
b)adg+beh+cfh-abc-beh-cfi
c)aei+bfg+cdh-gec-hfa-idb
Answers
Answer:
C
Step-by-step explanation:
just did it on edge
24. John buys 20 bunches of bananas
For N5. He sells them all for N6.50.
What is his percentage profit?
(a) 3/12%
(b) 20%
(c) 30%
(d) 762/13%
(e) 77%
Answers
Answer:
30%
Step-by-step explanation:
Profit(Gain)% = [tex]\frac{Selling price - Cost price}{Cost price} * 100%[/tex]
Selling price = N6.50
Cost price = N5
∴ Profit% = [tex]\frac{N6.50 - N5 }{N5} * \frac{100}{1}[/tex]
= [tex]\frac{1.5}{5} * \frac{100}{1}[/tex]
= (1.5 * 20)%
= 30%
Hope this helps!!!
The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:
Answers
Answer:
5 meters
Step-by-step explanation:
The perimeter of a rectangle can be expressed as 2l+2w.
2l+2w=50
l=w+15
Substitute:
2(w+15)+2w=50
2w+30+2w=50
4w+30=50
4w=20
w=5
Hope this helps!
Calving works totally for 3 hours in weekdays and 5 hours in weekends. How many hours does he works in 4 weeks?
A. 36 hours
B. 32 hours
C. 20 hours
D. 12 hours
Answers
Answer:
B. 32
Step-by-step explanation:
5+3=8
8×4=32
// have a great day //
An angle measures 32° less than the measure of its supplementary angle. What is the
measure of each angle?
Answers
Answer:
Step-by-step explanation:
x+x-32=180
2x-32=180
2x=180+32
2x=212
x=106
x-32=>106-32=74
Anna bought a backpack for $36.
She also bought a lunch box for $15.
Which is the total amount of money Anna spent?
Answers
Answer:
Anna spent $51 in all.
Step-by-step explanation:
36+15=51
Answer:
$51
Step-by-step explanation:
Anna bought two items: a backpack and a lunch box. If we want to find the total amount of money Anna spent, we have to add the price of the backpack and the price of the lunchbox.
price of backpack+price of lunchbox
The backpack cost $36 and the lunchbox cost $15
$36+$15
Add 36 and 14
$51
Anna spent $51 in total
Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answers
Answer:
25
Step-by-step explanation:
Mia is taking a multiple choice test with a total of 50 points available. Each question is worth exactly 2 points. What would be Mia's test score (out of 50) if she got 3 questions wrong? What would be her score if she got xx questions wrong?
Answer:
$38
$56
Step-by-step explanation:
8 divided by 4106 long division
Answers
Answer:
513.25 or 0.001
How i got the answer:
As we that 06 + 4 = 10. 10 is not divisible by 8. It means that 4106 is also not divisible by 8. The correct answer will be 4106 divided by 8 is 513.25.
If you asking only 8 divided by 4106 the answer is 0.00194836824. In short form it is 0.001.
If you asking if 8 is divisible by 4106 the answer is 513.25. Steps are added above.
Answer: 513.25 or 0.001
Please mark me brainliest
Hope this helps.
answer is 8/4106 or 0.002
Just follow the rules for multiplication and keep going till the end
I need help people please help me
Answers
Answer:
10/4 = [tex]\frac{10}{4}[/tex]
Step-by-step explanation:
write the next three multiples of 9
36,
Answers
Answer:
45,54,63
Step-by-step explanation:
The multiples of 9 are
9,19,27,36,45,54,63,72,81
The three multiples are 36 are
45,54,63
Answer:
9, 36, 45, 54, 63
Step-by-step explanation:
De los siguientes datos:2;2;4;4;5;6;6;7;7;8, si se cambian los numeros 4 por 5, ¿cuál de las siguientes medidas cambia?
1: moda
2: mediana.
3: media aritmética
A) solo 2
B) solo 3
C) solo 1 y 2
D) solo 1 y 3
E) 1,2,3
Answers
Answer:
what is the question I do not understand
La figura MNPQ es un rombo. Si 2θ – Φ =60°. Calcula el valor de “x”. Dime los fundamentos y principios que utilizas.
Answers
Answer:
x = 30°
Step-by-step explanation:
Donde 2θ - Φ = 60 °, tenemos;
∠QMN = ∠QPM
Ф + ∠P / 2 + (180 - θ) = 180 (Suma de ángulos en un triángulo ΔQLP)
Por lo tanto, Ф + ∠P / 2 - θ = 0
Por lo tanto, ∠P / 2 = θ - Ф, también
270 ° + θ + x + ∠P / 2 = 360 (Suma de ángulos en un NOLP cuadrilátero) da
270 ° + θ + x + θ - Ф = 270 ° + 2 · θ - Ф + x = 360
Como 2 · θ - Ф = 60 °, tenemos;
270 ° + 60 + x = 360
x = 360 - 270 - 60 = 30 °