Answer:
x = ±2
x = ±i
Step-by-step explanation:
(x^2+4)^2 – 11(x^2+4) + 24 = 0
Let m = x^2 +4
(m)^2 – 11(m) + 24 = 0
Solving this quadratic
What two numbers multiply to 24 and add to -11
-8*-3 =24
-8-3 = -11
(m-8)(m-3) =0
m = 8 m=3
Now substitute back
x^2 +4 = 8 x^2 +4 = 3
x^2 +4-4 = 8-4 x^2+4-4 = 3-4
x^2 = 4 x^2 = -1
Taking the square root
sqrt(x^2) = sqrt(4) sqrt(x^2) = sqrt(-1)
x = ±2 x = ±i
Answer:
one value of x = 2
Step-by-step explanation:
[tex](x^2 + 4 )^2 - 11(x^2 + 4 ) + 24 = 0\\\\x^4 + 16 + 8x^2 - 11x^2 -44 + 24 = 0\\\\x^4 - 3x^2 -4 = 0\\\\[/tex] ------ ( 1 )
[tex]Let \ x^2 \ = \ u[/tex]
( 1 ) => [tex]u^2 - 3u - 4 = 0[/tex]
[tex]u^2 -4u + u - 4 = 0\\\\u(u - 4) + 1 (u - 4) = 0\\\\(u + 1) (u - 4) = 0\\\\u = -1 \ , \ u = 4[/tex]
[tex]=> x^2 = - 1 \ and \ x^2 = 4[/tex]
[tex]x = \sqrt {-1} = i[/tex]
[tex]x = \sqrt{4} = \pm 2[/tex]
The Spanish club was selecting which carnival booths to sponsor at the fall
carnival from a list of twelve. How many different ways can they choose two
booths from a selection of twelve?
Answer:
66
[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
put these in order starting from the smallest 0.72,4/5,0.799,9/10
Answer:
0.72 ; 0.799 ; 0.8 ; 0.9
Step-by-step explanation:
4/5 = 0.8
9/10 = 0.9
Ascending order:
0.72 ; 0.799 ; 0.8 ; 0.9
First compare the tenth places. If tenth places are same, compare hundredth places
0.72, 0.799, 4/5 and 9/10
QUESTION 2
dobsond bis
Simplify the following
a5 x a?
Answer:
[tex]a^{6}[/tex]
Step-by-step explanation:
Assuming you mean [tex]a^{5}[/tex] × a
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then
[tex]a^{5}[/tex] × a
= [tex]a^{5}[/tex] × [tex]a^{1}[/tex]
= [tex]a^{(5+1)}[/tex]
= [tex]a^{6}[/tex]
The graphs below have the same shape. What is the equation of the red
graph?
G(X) =
The equation of the red graph is g(x) = 6 - [tex]x^4[/tex].
Thus, option (B) is correct.
Given:
Function 1 : f(x) = 3 - [tex]x^4[/tex]
As, the y-intercept is the point where a line or curve intersects the y-axis.
It is the value of y when the corresponding x-coordinate is zero. It is the point(s) where the graph crosses the y-axis.
Now, from the graph of function f(x) has the intercept 6.
Also, the graph of function g(x) is 3 unit up from the function f(x).
So, the equation of g(x) will be
= f(x) + 3
= 3 - [tex]x^4[/tex] + 6
= 6 - [tex]x^4[/tex]
Thus, option (B) is correct.
Learn more about Function here:
https://brainly.com/question/30721594
#SPJ4
What is the equation of the following line written in general form? (The y-intercept is 7.)
y
(-2.1)
Answer:
[tex]{ \tt{slope = \frac{7 - 1}{0 - ( - 2)} = 3 }} \\ \\ { \tt{y = mx + c}} \\ { \boxed{ \bf{y = 3x + 7}}}[/tex]
Thanks to whoever decides to help :)
Answer:
(-4,5)
Step-by-step explanation:
a cheetah runs at the speed of 2km per minute. How far can it run in 5 minutes? PLEASE I NEED IT RN
Answer:
10 km
Step-by-step explanation:
pls mark me brainliest
P(-3,6), Q(-3,-6) and R(6,-2) are the vertices of a triangle. Calculate the perimeter of this triangle.
Answer:
33.89
Step-by-step explanation:
the side lengths are the distances between the corner points of the triangle.
P and Q have the same x value, and they therefore create a side parallel to the y-axis. and it is easy to find the length of this side : it is just the difference of the y values.
PQ = 6 - (-6) = 6 + 6 = 12
QR and RP are trickier.
we need Pythagoras to calculate the length of the direct connection between these points as the Hypotenuse of the right triangles with the differences in x and in y values as the other sides.
QR :
QR² = (-3 - 6)² + (-6 - -2)² = (-9)² + (-4)² = 81 + 16 = 97
QR = sqrt(97) ≈ 9.848857802
RP :
RP² = (6 - -3)² + (-2 - 6)² = 9² + (-8)² = 81 + 64 = 145
RP = sqrt(145) ≈ 12.04159458
the perimeter/circumference of the triangle is the sum of all 3 sides
= 12 + sqrt(97) + sqrt(145) ≈ 33.89
If f(x) = x^2 and g(x)=x+ 6 find g(f(0))
Answer:
6
Step-by-step explanation:
The solution for this problem is in this picture.
Can someone please help me, this is for summer school and I need fast replies, I have 29 other question like these, please help.
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: A. \:- 8 {v}^{4} + 3 {v}^{3} + v + 5}}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](4 + 6v + 3 {v}^{3} ) - (5v + 8 {v}^{4} - 1)[/tex]
➼[tex] \: 4 + 6v + 3 {v}^{3} - 5v - 8 {v}^{4} + 1[/tex]
Combining like terms, we have
➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + 6v - 5v + 4 + 1[/tex]
➼[tex] \: - 8 {v}^{4} + 3 {v}^{3} + v + 5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]
13 ft
60 Ft
If the grain pile has a diameter of 60 feet and a height of 13 feet, what is the volume of the grain pile?
o A. 3900TT ft
B. 11700 ft
o C. 260 TT ft3
D. 15600TT ft3
Answer:
if I'm correct I think it's B
Given that 3(x-1)-2(x-1)=7, then the value of x is MI 6 7 (A) (B) (C) (D) 8 9
Answer:
x = 8
Step-by-step explanation:
Given
3(x - 1) - 2(x - 1) = 7 ← distribute both parenthesis on left side
3x - 3 - 2x + 2 = 7 , simplifying
x - 1 = 7 ( add 1 to both sides )
x = 8
Tìm tất cả các giá trị của y sao cho. x2 + y2 +2z2 +2xy - 2xz - 4yz + 3y >= 0 với mọi x, z
Answer:
shimani mashashina mashina shishushi mashinana
What are the first 10 digits after the decimal point when the fraction $\frac17$ is written in base 16?
Answer:
The amswer is "2,4,9....."
Step-by-step explanation:
[tex]x=\frac{1}{7}\\\\x_d=0.\overline{142857}\\\\x_h=0.\overline{249}\\\\[/tex]
by leave you to work out the other 7 digits:
[tex]\to \frac{1}{7}\approx \frac{a}{16}\\\\a= \text{first hex digit}\\\\a=floor(\frac{16}{7})=2\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}\approx \frac{b}{16^2}\\\\b= \text{second hex digit}\\\\b=floor(\frac{16^2}{7} -16a)=4\\\\[/tex]
[tex]\to \frac{1}{7}- \frac{a}{16}-\frac{b}{16^2} \approx \frac{c}{16^3}\\\\c= \text{third hex digit}\\\\c=floor(\frac{16^3}{7} -16^2a-16b)=9\\\\[/tex]
Instructions: Match each step with the correct ordered description for how to construct a copy of line
The correct steps of how to construct a copy of line with the aid of a compass would be given below as follows
How to construct a line segment?To construct a line segment, the correct matching of the steps are given below as follows:
Step one: Start with line segment PQ that we will copy.
Step two: Set the compass point on the point P of the line segment to be copied.
Step three: Adjust the compass width to the point Q. The compass width is now equal to the length of the line segment PQ.
Step four:Mark a point R that will be one endpoint of the new line segment.
Step five : Without changing the compasses width, place the compasses point on the point R on the line you drew previously.
Step six: without changing the compasses width draw an arc roughly where the other endpoint will be.
Step seven pick a point S on the arc that will be the other endpoint of the new line segment.
Step eight: Draw a line from R to S.
Step nine: The line segment RS is equal in length (congruent to) the line segment PQ.
Learn more about line segments here:
https://brainly.com/question/24778489
#SPJ1
The distance traveled (in meters) by an insect is modeled by the equation
d=0.3t where d is the distance traveled in meters and t is the time in minutes.
Find the distance traveled in 26.3 minutes.
A. 0.789 meters
B. 7.89 meters
C. 26 meters
D. 87.67 meters
Answer:
c
Step-by-step explanation:
Distance travelled in [tex]26.3[/tex] minutes from the given equation model is equals to [tex]7.89[/tex] meters.
What is distance?" Distance is defined as the total length between two end points representing one of the dimension."
According to the question,
Given equation,
[tex]d = 0.3 t[/tex]
[tex]'d'[/tex] represents the distance travelled in meters
[tex]'t'[/tex] represents the time in minutes.
As per the given condition distance travelled in [tex]26.3[/tex] minutes is given by,
[tex]d = 0.3 \times 26.3\\\\\implies d = 7.89 meters[/tex]
Hence, Option(B) is the correct answer.
Learn more about distance here
https://brainly.com/question/15172156
#SPJ2
Which of the following are examples of Structuring?
(Select all that apply)
A) Trying to purchase or reload multiple prepaid cards/gift cards, in multiple transactions as smaller amounts
B) Purchasing prepaid cards/gift cards at different registers,
C) Breaking up a large amount of money by coming in several times a day to conduct financial services transactions
Answer:all of them
Step-by-step explanation:
I just took the test
'All the given statement' demonstrates structuring.
In the context of money laundering, 'Structuring' is characterized as the process in which a huge sum of money is split into smaller sections or transactions in order to locate funds without coming to the notice of the legal department.
To ensure this splitting of money, several bank accounts with several names are used. Attempts to make purchases worth smaller amounts using multiple cards.Registering these purchases with different platforms. Making financial transactions at different times of the day to avoid being caught.Thus, all the options are correct.
Learn more about 'structuring' here:
brainly.com/question/4072914
Choose the scenario that could be represented by 5/6
A. Five friends share six pizzas equally. B. Six pounds of oats are divided equally among five horses.
C. A six-foot string is cut into five equal pieces.
D. A five-hour bus trip is divided into six equal legs.
Answer:
d. A five-hour bus trip is divided into six equal legs.
Step-by-step explanation:
hope it helps
Answer:
Step-by-step explanation:
A - You'd divide the 6 pizzas by 5 friends. 6/5.
B - You're dividing the 6 oats by 5 horses. 6/5.
C - You're dividing the 6-ft string by 5 pieces. 6/5.
D is the only one dividing a whole of 5 into 6 parts.
Solve [tex]27 = 3^4^x^+^1[/tex]
A. 1/4
B. 1/2
C. 2
D. 4
Answer:
1/2
Step-by-step explanation:
27 = 3 ^(4x+1)
Rewriting 27 as 3^3
3^3 = 3 ^(4x+1)
Since the bases are the same, the exponents are the same
3 = 4x+1
Subtract 1
3-1 = 4x+1-1
2 =4x
Divided by 4
2/4 = 4x/4
1/2 =x
Hihi , please help if able.
Convert 150 base 10 to a binary
number.
Answer:
10010110
Step-by-step explanation:
A binary number is basically a number in base 2. So, each place represents a power of two. The ones place represents 1 or 2^0, the tens represents 2 or 2^1, the hundreds represents 4 or 2^2 and so on. To find the highest place needed to make in the number in binary, we find the greatest power of two that is below 150. In this case, it is 128. We can start by writing 128 in binary:
10000000
Now, we subtract 128 from 150 and find the largest power of two that is smaller than the difference. The largest power of 2 smaller than 22 is 16, so we put a one in the place for 2^4:
10010000
We can subtract 16 from 22 to get what is leftover to continue the process. We get 6, and the largest power of 2 smaller is 4. We can place a one in the hundreds place to represent it:
10010100
What is left is 6-4 or 2, which is just 2^1, so we can place it in the tens place:
10010110
Find the positive solution to each equation
A. t^3 = 216
B. a^2= 25
C. m^3 = 8
D. c^3 = 343
E. f^3 = 64
Answer:
A. T=3
B. A=5
C. M=2
D. C=7
E. F =4
A student had $40 but spent $32. What percentage of his money has he spent?
Answer:
80%
Step-by-step explanation:
$40->100%
$32->x
x=32×100/40
x=80%
the correct answer is 80%
Solve for x
5x + 7 = 11
Give your answer as a fraction in its simplest form.
Step-by-step explanation:
5x=11-7
5X= 4
X=4/5
=0.8 Answer
Answer:
[tex]5x + 7 = 11 \\ 5x = 11 - 7 \\ 5x = 4 \\ x = \frac{4}{5} \\ thank \: you[/tex]
A student multiplied 4986 by 45 instead of multiplying by 54. By how much was his answer greater than the correct answer? Mention the property used.
Answer:
So, the difference is 44874.
Step-by-step explanation:
Multiplication of 4986 by 45
= 4986 x 45 = 224370
Multiplication of 4986 by 54
= 4986 x 54 = 269244
So, the difference in results is
= 269244 - 224370 = 44874
What are the ratio of dogs to total pets if there are 3 dogs and 5 cats?
Answer:
3:(3+5) = 3:8 this is the required answer
Q- y = 7 is a line which is-(A) Parallel to y-axis (B) Parallel to x-axis (C) Passing through (7, 7) (D) Passing through origin
===================================================
Explanation:
Every point on the line y = 7 has a y coordinate of 7. Two such points are (0,7) and (1,7). The x coordinate can be anything you want. This line is completely horizontal and parallel to the x axis.
We can think of y = 7 as y = 0x+7. It's of the form y = mx+b with m = 0 as the slope and b = 7 as the y intercept.
Gianna rented shoes, bowled 5 games, and bought 2 orders of nachos. She used a coupon for 25% off the price of her bowling games only.
Answer:
[tex]Total = \$15.625[/tex]
Step-by-step explanation:
Given
See attachment for price lists
Required
The amount paid
We have:
[tex]Shoes = \$2.75[/tex]
[tex]Games = \$2.50 * 5 = \$12.5[/tex] --- we multiply by 5 because he played 5
[tex]Nacho = \$1.75 * 2 =\$3.50[/tex] --- we multiply by 5 because he bought 2
Apply 25% coupon to the games, we have:
[tex]Games = \$12.5 - 25\% * \$12.5[/tex]
[tex]Games = \$12.5 - \$3.125[/tex]
[tex]Games = \$9.375[/tex]
So, the total amount paid is:
[tex]Total = Shoes + Games + Nacho[/tex]
[tex]Total = \$2.75 + \$9.375 + \$3.50[/tex]
[tex]Total = \$15.625[/tex]
The perpendicular room is 4m long, 3m wide and 2.5m high. They tiled and painted the interior walls of the room. Find the amount of paint to be used in wall painting (knowing that one coat of paint can paint 5m2).Answer only
Answer:
7 coats (cups) of paint
Step-by-step explanation:
The dimensions of the room are;
The length of the room, l = 4 m
The width of the room, w = 3 m
The height of the room h = 2.5 m
The area one coat (taking the coat to mean cup) of paint can paint, A/c = 5 m²/cup
The total surface area of the room wall, A = 2 × l × h + 2 × w × h
∴ A = 2 × 4 m × 2.5 m + 2 × 3 m × 2.5 m = 35 m²
The amount of paint to be used, c = A/(A/c)
∴ c = 35 m²/(5 m²/cup) = 7 cups
The amount of paint to be used, c = 7 cups
if xsquared+ysquared=57 , xy=3 . find the value of 3(x+y)squared
Answer:
189
Step-by-step explanation:
If you mean this, my answer is 3x63= 189
[tex] {x}^{2} + {y}^{2} = 57 \\ xy = 3[/tex]
[tex] {x}^{2} + {y}^{2} + 2xy = 57 + 2 \times 3[/tex]
[tex] {(x + y)}^{2} = 63[/tex]
[tex]3 {(x + y)}^{2} = 3 \times 63 = 189[/tex]