Answer:
Option D. 9
Step-by-step explanation:
There are two ways to obtain the answer to the question.
Method 1:
Let 2x + 1 = 0
Making x the subject, we have
2x + 1 = 0
Collect like terms
2x = –1
Divide both side by 2
x = –1/2
Now, put the value of x into the expression 4x³ – 6x² – 8x + 7, we have:
4x³ – 6x² – 8x + 7
x = –1/2
4(–1/2)³ – 6(–1/2)² – 8(–1/2) + 7
4(–1/8) – 6(1/4) – 8(–1/2) + 7
–1/2 – 3/2 + 4 +7
– 4/2 + 4 + 7
– 2 + 4 + 7
= 9
Method 2:
Divide 4x³ – 6x² – 8x + 7 by 2x + 1
Please see attached photo for explanation.
HELP PLEASE Solve the equation for x. the square root of the quantity x plus 4 end quantity minus 7 equals 1 x = 4 x = 12 x = 60 x = 68
Answer:
679=49
Step-by-step explanation:
3838 is the one for 928 cause 666
2. The diagram shows a playground which is a combination
of three different shapes. TSVU is a square, SRQV is a
trapezium and PQVU is a parallelogram. Calculate the
total area of the playground.
Answer:
The diagram shows a playground which is a combination
of three different shapes. TSVU is a square, SRQV is a
trapezium and PQVU is a parallelogram. Calculate the
total area of the playground
TRUE OF FALSE : -2 > 6
Answer: False for sure
Answer:
[tex]\boxed{\mathrm{False}}[/tex]
Step-by-step explanation:
[tex]-2<6[/tex]
-2 is less than 6.
6 is a greater value than -2.
(sec A + tan A) (1 - sin A) = cos A prove
Answer:
(identity has been verified)
Step-by-step explanation:
Verify the following identity:
(sec(A) + tan(A)) (1 - sin(A)) = cos(A)
Write secant as 1/cosine and tangent as sine/cosine:
(1 - sin(A)) (1/cos(A) + sin(A)/cos(A)) = ^?cos(A)
Put 1/cos(A) + sin(A)/cos(A) over the common denominator cos(A): 1/cos(A) + sin(A)/cos(A) = (sin(A) + 1)/cos(A):
(sin(A) + 1)/cos(A) (1 - sin(A)) = ^?cos(A)
Multiply both sides by cos(A):
(1 - sin(A)) (sin(A) + 1) = ^?cos(A)^2
(1 - sin(A)) (sin(A) + 1) = 1 - sin(A)^2:
1 - sin(A)^2 = ^?cos(A)^2
cos(A)^2 = 1 - sin(A)^2:
1 - sin(A)^2 = ^?1 - sin(A)^2
The left hand side and right hand side are identical:
Answer: (identity has been verified)
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's do this step by step.
Prove that sec A ( 1 - sin A) ( sec A + tan A) = 1
Solving L.H.S
sec A ( 1 - sin A) ( sec A + tan A)
[tex]= \frac{1}{cos A} ( 1 - sin A ) ( \frac{1}{cos A} + \frac{sin A }{cos A})[/tex]
[tex]= \frac{(1 - sin A)}{cos A} ( \frac{1 + sin A }{cos A })[/tex][tex]= \frac{( 1 - sin A)( 1 + sin A)}{cos A X cos A}[/tex]
We know that [tex]( a - b) ( a + b) = a^2 - b^2[/tex]
[tex]= \frac{( 1^2 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{( 1 - sin^2 A)}{cos^2 A}[/tex]
[tex]= \frac{cos^2 A}{cos^2 A}[/tex] [tex]| cos^2 A + sin^2 A = 1 | cos^2 A = 1 - sin^2 A |[/tex][tex]1 - sin^2 A = cos^2 A[/tex]
[tex]= 1[/tex]
[tex]= R . H. S[/tex]
Thus, L.H.S = R.H.S
Hence proved.
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
the scale on the map of a park is 5 in. : 3 mi.
Answer:
If the scale on a map is 5in : 3 miles, it means every 3 inches is 5 miles. 6 inches is 10 miles and so on.
BRAINLIEST, THANKS AND 5 STARS IF ANSWERED CORRECTLY. Find the 15th term: 3, 1, -1, -3, -5... Find the 14th term: 3, 1, -1, -3, -5...
Answer:
-25 and -23
Step-by-step explanation:
The arithmetic sequences are the same so we will have the same formula for each of them. The first term (a₁) is 3 and the common difference (d) is -2.
Explicit formula: aₙ = a₁ + (n - 1) * d
Our formula is aₙ = 3 + (n - 1) * (-2) = -2n + 5
a₁₅ = -2 * 15 + 5 = -25
a₁₄ = -2 * 14 + 5 = -23
Answer: -25 and -23
Step-by-step explanation:
A bin has 5 white balls and k black balls in it, where k is an unknown positive integer. A ball is drawn at random from the bin. If a white ball is drawn, the player wins 1 dollar, but if a black ball is drawn, the player loses 1 dollar. If the expected loss for playing the game is 50 cents, then what is k?
Answer:
Step-by-step explanation: The expected loss is 50 cents, we know that it is more likely to lose than win. It is therefore difficult to get-50, so the overall difference between the two possibilities is 2, 50/200=1/4, and the probability to win is 1/4, and the probability to lose is 3/4. Since (1/4)*3=3/4, the number of black balls is 3 times the number of white balls, so k=15.
To prove that the triangles are similar by the SAS similarity theorem, it needs to be shown that
Answer:
The triangle has two sides that are equivalent and the angle where the two meet are also equivalent.
In other words, two sides and the angle between them are congruent.
Hope this helps, if it does please give me brainliest, it will help me a lot :)
Have a good day
Answer:
A on edge
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A ( 2, -6) B ( 5, -6) C (5,-2) D (2.-2) What is the perimeter of rectangle ABCD? PLEASE ANSWER QUICK!!!
Answer:
The answer is 14
Step-by-step explanation:
Point A to Point B is 3
Point C to Point D is 3
Point B to Point c is 4
Point D to point A is 4.
Add all those together to get 14
Answer:
the answer is 14
hope you like this
keep rocking
stay at home stay safe
Arrange the systems of equations in order from least to greatest based on the number of solutions for each system.
Answer:
work is shown and pictured
Answer:
case 1
3x-7y=9
-4x+5y=1
using a graph tool
the solution is the point (-4,-3)------------------> one solution
case 2
y=6x-2
y=6x-4
two parallel lines
the system has no solution---------------> zero solution
case 3
-5x+y=10
-25x+5y=50
is the same line----------------> infinite solutions
How to do this question plz answer me step by step plzz plz
In general and here, when we have an object with a constant cross section of area A, the volume V = A L, where L is the length.
L = V / A = 330 / 55 = 6 cm
Answer: 6 cm
HELP ASAP PLEASE!!!
A) The range for this function is the set
B)the domain of this function is all real numbers
C) The domain for this function is the set 3
D)All real numbers are in range of this function
E) it’s in the picture
Answer:
A and C
Step-by-step explanation:
The line is at 3, and no number is within reach except 3. So the answer is A and C.
On a coordinate plane, a graph shows Street on the x-axis and Avenue on the y-axis. A line is drawn from Tia to Lei. Tia is at (4, 8) and Lei is at (12, 20). Tia lives at the corner of 4th Street and 8th Avenue. Lei lives at the corner of 12th Street and 20th Avenue. The fruit market is Three-fourths the distance from Tia’s home to Lei's home.
Answer:
(10, 17)
Step-by-step explanation:
It might be easier to explain with a picture or drawing, but I am new to this, so I would try using words.
Assuming the fruit market is on that straight line from Tia's home to Lei's, So we look at both address (coordinates)
From Tia to Lei, x coordinate is from 4 to 12, that's increased by 8, divide by 4, one step is 2.
y coordinate is from 8 to 20, an increase of 12, divide by 4 again, one step is 3.
The fruit market is at 3/4 distance, so 3 steps, on both x and y coordinates.
x: 4+6 = 10
y: 8+9=17
The fruit market is at point (10,17)
What is graph?
A graph can be defined as a pictorial representation or a diagram that represents data or values.
The point (x,y) which divides the segment AB with endpoints at A(x₁,y₁) and B(x₂,y₂) in ratio m:n has cordinates
[tex]x= \dfrac{nx_1+nx_2}{m+n}[/tex]
[tex]y= \dfrac{ny_1+ny_2}{m+n}[/tex]
Tia is at P(4, 8) and Lei is at Q(12, 20).
The fruit market (F) is three-fourths the distance from Tia’s home to Lei's home, then PM : PQ = 3:4 or PM : MQ = 3:1
So,
[tex]x= \dfrac{1.4+3.12}{3+1} = \dfrac{4+36}{4} = \dfrac{40}{4} = 10 \\y= \dfrac{1.8+3.20}{3+1} = \dfrac{8+60}{4} = \dfrac{68}{4} = 17[/tex]
Hence, the fruit market is at point (10,17) which means it is placed at the corner of 10th Street and 17th Avenue.
Learn more about graph here:
brainly.com/question/16608196
#SPJ5
Please answer this question now
Answer:
d = 8.5
Step-by-step explanation:
The following data were obtained from the question:
Angle D = 100°
Opposite D = d
Opposite E = e = 6
Opposite F = f = 5
Thus, we can obtain the value of d by using the cosine rule as shown below:
d² = e² + f² – 2ef Cos D
d² = 6² + 5² – 2 × 6 × 5 × Cos 100°
d² = 36 + 25 – 60 × Cos 100°
d² = 61 – – 10.419
d² = 61 + 10.419
d² = 71.419
Take the square root of both side.
d = √71.419
d = 8.5
Therefore, the value of d is 8.5
I need helpppppppppppppppppp
Answer:
A:
9×1=9
9×2=18
9×3=27
9×4=36
9×5=45
9×6=54
9×7=63
9×8=72
9×9=81
9×10=90
B:
It goes down by 1 after multiplying a bigger number.
C:
It goes up by 1 after multiplying a bigger number.
Step-by-step explanation:
hope this helps you and have a great day
How do I know the following equation is true:
Answer:
The equation is true
Step-by-step explanation:
The best way to check if this equate is true is to convert the pi in radians to degree and actually evaluate the trigonometric terms.
Mathematically we know that pi = 180 degrees
So pi/8 = 22.5
and pi/4 = 180/4 = 45
So let’s make our check.
Insert pi = 22.5 and pi = 45
So we have;
tan 22/5 = √(1-cos45)/(1+cos45)
Now let’s evaluate this using a calculator.
tan 22/5 = 0.414213562373
The term in the root; 0.171572875254
The square root of this number is 0.414213562373
This is exactly as what is obtained with the tan 22.5
So we conclude that what we have is true
Which description best describes the solution to the following system of equations? y = −2x + 3 y = −x + 6
Answer:
Step-by-step explanation:
-2x + 3 = -x + 6
-x + 3 = 6
-x = 3
x = -3
y = 3 + 6
y = 9
(-3, 9)
A scale drawing of Jimmy's living room is shown below:
If each 2 cm on the scale drawing equals 8 feet, what are the actual dimensions of the room?
Length = 8 feet, width = 6 feet
Length = 12 feet, width = 8 feet
Length = 18 feet, width = 16 feet
Length = 24 feet, width = 16 feet
Answer:
last option
Step-by-step explanation:
Basically, every 1 cm is 8 / 2 = 4 feet so the width is 4 * 4 = 16 and the length is 6 * 4 = 24.
Answer:
option D
Step-by-step explanation:
URGENT!! Please help me with this as soon as possible!!
The statement is valid because the measure of the vertices located in the center of the pentagon is the quotient of 360 and 5, and the sum of two base angles in the given isosceles triangle is 108.
==========================================================
Explanation:
Check out the diagram below. I have added x and y such that
x = base angle
y = vertex angle (located adjacent to center of polygon)
The pentagon is sliced up like a cake into 5 equal portions. Each vertex angle is y = 360/5 = 72 degrees.
The two base angles x must add with the vertex angle y to get 180
(angle1)+(angle2)+(angle3) = 180
x+x+y = 180
2x+y = 180
2x+72 = 180
2x = 180-72
2x = 108
This is true for any one of the five triangles. Notice that for angle LMN, we can divide it into LMQ and QMN where Q is the center of the polygon. Both of these angles are x. Since we've shown 2x = 108, we can see that LMN must also be 108 as well.
Choice A is close, but we wouldn't use the exterior angle theorem. Choice B is the better answer.
Use the elimination method to solve the ststem of equations.choose the correct ordered pair 10x+2y=22 3x-4y=-21
Answer:
x=1 and y=6
Step-by-step explanation:
10x+2y=22
3x-4y=-21
First at all, you have to multiply both sides of this equation of 10x+2y=22, like this,
2(10x+2y)=2*22
*Put the 2 for the both sides.
Then, expand them.
20x+4y=44
When we have 20x+4y=44, we can eliminate with another equation.
20x+4y=44
3x-4y=-21
So, the first equation has +4y and the second equation has -4y, so we can use elimination method to eliminate one variable.
This time we can sum these equation to get one variable to get the answer easily. Like this...
20x+4y=44
3x-4y=-21
to become...
23x=23
x=23/23
x=1
When we get the equation like this, we can divide 23 by 23, so we can get the value of x. So, the value of x is 1.
When we know x is equal to 1, we can do the last part substitute x=1 into the second equation which is 3x-4y=-21.
The following steps is like this:
Substitute x=1 into 3x-4y=-21,
3(1)-4y= -21
3-4y= -21
Move the 3 to the another side, like this;
-4y= -21-3
-4y= -24
y= -24/ -4
y=6
*Be careful! When you calculate -24/-4 , you have to know how to eliminate the negative sign. (-) / (-) = +
Negative number divided by negative number is equal to positive number.
So, here we go! the value of x is 1 and the value of y is 6.
That is my solution and explanation from me. I hope you can understand. Bye!
PLEASE ANSWER I WILL GIVE BRAINLIEST AND THANKS DESCRIBE FULLY THE SINGLE TRANSFORMATION THAT MAPS A ONTO C
Step-by-step explanation:
Shape A is flipped horizontally onto the x-axis
The new shape is mirroring Shape A
Simplify: |x−y| if x is less than y
Answer:
y-x
Step-by-step explanation:
I assumed you meant that you wanted me to rewrite the expression without the absolute value signs. Since the absolute value of a number will be the same whichever way you place the numbers, you can rewrite |x-y| as y-x, as x is less than y.
a rectangular fish tank is 50 cm long, 40 cm wide, and 30 cm high.
a) how many cubic centimeters of water will the tank hold?
b) how many milliliters of water will the tank hold?
c) how many liters of water will the tank hold?
Answer:
a) 60,000 cubic cm
b)600,000 cubic mm
c)60 L
Step-by-step explanation
To find the volume, you would have to multiply the height length and width.
50*40*30 and that equals to 60,000 cm. 10 mm=1cm.
So 60,000*10=b, b=600,000, 1,000 cm=1 L
60,000/1,000=L, L=60
Hope this helps. If it does, please rate 5 stars!
12.
Find the values in the interval [-n/2, n] that satisfy the equation.
arctan (V3/3) = x
с
a. since tan (n/6) = 13/3, X = n/6
b. since sin (-1/4)= -V2/2, x = -1/4
c. since cos (3n/2) = -1/2, X = 3n/2
d. since cos 0 = 1, x = 0
e. since cos (1/4) = V2/2, X = n/4
13
Answer:
Step-by-step explanation:
[tex]tan^{-1} (\frac{\sqrt{3} }{3} )=x\\tan x=\frac{\sqrt{3} }{3} =tan (\frac{\pi}{6} )\\x=\frac{\pi}{6}[/tex]
Which expression is equivalent to
-21/4over -2/3
Answer:
[tex]\frac{9}{4}/\frac{3}{2}[/tex]
Step-by-step explanation:
[tex]-2\frac{1}{4}[/tex] is equilavalent to [tex]-\frac{9}{4\\}[/tex].
[tex]-\frac{2}{3}[/tex] can stay put.
The equation is division so neither answers #2 and #3 are the correct ones because when dividing fractions the second fraction has to be flipped in order to continue multiplying instead.
In addition, when two negatives are put together the answer must always be positive.
Hence the answer is [tex]\frac{9}{4}/\frac{3}{2}[/tex].
U
Which statements are true about x? Select three
options
B
XEBUC
Oxenc
OXEAUC
Oxeanc
ΕχεΑ
с
Answer:
A, B, C
Step-by-step explanation:
x is in the intersection of sets B and C, in set B, in set C, in the union of sets B and C, in the union of sets A and C
Answer: A, B, C
Answer:
[tex]\huge\boxed{x\in\bigg(A\cup C\bigg)}[/tex]
[tex]\huge\boxed{x\in\bigg(B\cup C\bigg)}\\\\\boxed{x\in\bigg(B\cap C\bigg)}[/tex]
Step-by-step explanation:
Look at the picture
George spent $40.80 on 3 identical files and 2 identical pencil cases. Each file cost $5.40 less than a pencil case. How much did George pay for each file?
Answer:
He spent $6 on each file
Step-by-step explanation:
Hello,
To solve this question, we need to bring out our variables from the equation.
He spent $40.80 for 3 files and 2 pencil cases
Let x represent the file
Let y represent the pencil case
But the file is $5.40 less than each pencil case
x = y - 5.40.....equation (i)
40.80 = 3x + 2y .......equation (ii)
Substitute equation (i) into equation (ii)
40.80 = 3(y - 5.40) + 2y
40.80 = 3y - 16.20 + 2y
Collect like terms
40.80 + 16.20 = 3y + 2y
57 = 5y
Solve for y
y = 57 / 5
y = 11.4
The pencil case costs $11.4 each.
Put y = 11.4 into equation (i)
x = 11.4 - 5.40
x = 6.0
The file costs $6 each
Solve for x: (-1/2) x = 6
Answer: x = -12
Step-by-step explanation:
-1/2x=6
Divide by -1/2
x = -12
Hope it helps <3
Please answer it now in two minutes
Answer:
4.5
Step-by-step explanation:
Use sin64=x/5 and simplify to
5sin64 and plug it into a calculator to get 4.49 which is 4.5
Solve the inequality for y.
y - 9x > 6
please help!!!!!!!
Answer:
y>9x+6
Step-by-step explanation:
y-9x+(9x)>6+(9x)
y>9x+6