Answer:
x = 1/3, x = -1.
Step-by-step explanation:
2x(x + 2) + (x - 1)² = 2
Distribute the 2x into x + 2.
2x² + 4x + (x - 1)² = 2
Square (x - 1).
2x² + 4x + x² - x - x + 1 = 2
Combine terms.
2x² + x² + 4x - 2x + 1 = 2
Combine terms again.
3x² + 2x + 1 = 2
Subtract 2 from both sides.
3x² + 2x - 1 = 0
Factor.
(3x - 1)(x + 1) = 0.
Finding the x-values here is the same thing as finding the 0s, so set both of the expressions to 0.
3x - 1 = 0
Add 1 to both sides.
3x = 1
Divide by 3.
x = 1/3.
x + 1 = 0
Subtract 1 from both sides.
x = -1.
Answer:
3x^2+2x+1 primero lo multiplicas y lo que te de lo sumas y asi sacas 3x^2+2x+1
A collection of stamps consists of 22¢ stamps and 40¢ stamps. The number of 22¢ stamps is three more than four times the number of 40¢ stamps. The total value of the stamps is $8.34. Find the number of 22¢ stamps in the collection
Answer:
27
Step-by-step explanation:
Let :
Number of 40¢ = x
Number of 22¢ = 4x + 3
Total stamp value = $8.34 = (8.34 * 100) = 834¢
40¢x + 22¢(4x + 3) = 834¢
40x + 88x + 66 = 834
128x = 834 - 66
128x = 768
x = 768 / 128
x = 6
Number of 22¢ stamp:
4(6) + 3 = 24 + 3 = 27
hii please help asap ill give brainliest thanks
Answer: B) established a strong, central government
Answer:
The emperor Chandragupta is established a strong, centralized government
A rectangular plot of land has an area of 8/3 square miles and a length of 3/5 mile. What is the width of the plot of land? F.9/40 mi G.5/8 mi H.1 3/5 J.4 4/9
Answer:
Width = x mile = 4 4/9 mile
J.4 4/9
Step-by-step explanation:
Area of a rectangle = length × width
Area of the rectangular plot = 8/3 square miles
Length = 3/5 mile
Width = x mile
Area of a rectangle = length × width
8/3 = 3/5 * x
8/3 = 3/5x
x = 8/3 ÷ 3/5
Multiply 8/3 by the reciprocal of 3/5
x = 8/3 × 5/3
= (8*5) / (3*3)
x = 40/9
x = 4 4/9 mile
Width = x mile = 4 4/9 mile
HELP PLSS IM MISSING THIS ASSIGNMENT!!
Answer:
100
4
1500
22
Step-by-step explanation:
1 meter ⇒ 100 centimeters
Answer:
1 m = 100 cm
4 m = 400 cm
15 m = 1500 cm
22 m = 2200 cm
Step-by-step explanation:
Every Meter is 100 Centimeters
Which of the following is a true statement about perpendicular lines?
A.
Perpendicular lines intersect to form a 45° angle.
B.
Perpendicular lines intersect at exactly one point.
C.
Perpendicular lines can also be parallel lines.
D.
Perpendicular lines intersect in at least two points.
Answer:
B.
Step-by-step explanation:
Perpendicular lines intersect at exactly one point.
(perpendicular lines form an x with right angles)
Find the output y when the input x is -4
y=?
PLZ HELP
Solve the following quadratic equation for all values of x in simplest form.
4(2x-3)^2 + 14 = 34
Answer:
x=3±√5/2
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket:
18, 9, 7, 35, 30, 21, 33, 12, 30, 31
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 27 runs.
What is his new mean score?
Give your answers as decimals.
Answer:
a) 22.6
b) 23
Step-by-step explanation:
a)
Step 1: 18 + 9 + 7 + 35 + 30 + 21 + 33 + 12 + 30 + 31 = 226
Step 2: 226/10 = 22.6
b)
Step 1: 226+27 = 253
Step 2: 253/11 = 23
8 On a map, a trapezoidal piece of farmland has base lengths of 1.25 inches and 1 inch, and a height of 1.1 inches. The scale on the map is 1 inch = 100 yards. What is the actual area of the farmland?
formula 3.35 times something
(135). I buy 7 CDs costing £5.99. How much change do I get from £50?
Answer:
8.07, excluding taxes.
Step-by-step explanation:
7x5.99 = 41.93
50-41.93 = 8.07
Select the correct answer.
What is the corresponding point on the unit circle for the given radian measure?
0 = 7pi/6
Answer:
Answer is B: (-sqrt(3/2 , -1/2)
Step-by-step explanation:
First convert radians to degrees
theta = (7pi/6)*(180/pi)
=210 degrees
Cos(210 degrees)= -sqrt3/2
Thats the x coordinate
sin(210 degrees)= -1/2
thats the y coordinate
Answer:
The corresponding point on the unit circle for the radian measure is [tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Step-by-step explanation:
What is unit circle?
A unit circle is typically drawn around the origin (0,0) of a X,Y axes with a radius of 1.
What is radian measure?
One radian is the measure of a central angle that intercepts an arc s equal in length to the radius r of the circle.
The radian measure is,
α=[tex]\frac{7\pi }{8}[/tex]
Changing to degree measure,
[tex]\frac{7\pi }{6} *\frac{180}{\pi } \\=210^{o}[/tex]
The measure on the unit circle is,
(cos [tex]\alpha[/tex] , sin [tex]\alpha[/tex])=(cos 210 , sin 210)
=[tex](\frac{\sqrt{3} }{2},\frac{1}{2})[/tex]
Option A.
To know more about unit circle, radian measure here
https://brainly.com/question/10675916
#SPJ2
A teacher is interested in students' opinions about an upcoming school dance. Which of the following techniques
uses systematic random sampling?
Survey the first 10 students who arrive.
Survey every 10th classroom as the teacher walks down the hallway.
Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every 12th
student after that
O Survey the 10th student arriving at school (with the number 10 being randomly chosen), then survey every other
boy and every other girl after that.
Answer:
think its c but not sure
Step-by-step explanation:
because it repeats its self to get i sample
Answer and Step-by-step explanation: yes it's C i got it right so did the person above me
y=2x+3 y=4x+7 solve by elimination
Answer:
[tex]\displaystyle [-2, -1][/tex]
Step-by-step explanation:
To use the Elimination method, you must get rid of one pair of variables, so that one side is set to zero. So, in this case, we must get rid of [tex]\displaystyle x,[/tex]therefore we will split the second equation in negative half :
[tex]\displaystyle \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}[y = 4x + 7]}} \right. \\ \\ \\ \left \{ {{y = 2x + 3} \atop {-\frac{1}{2}y = -2x - 3\frac{1}{2}}} \right. \\ \\ \frac{1}{2}y = -\frac{1}{2}; -1 = y, -2 = x \\ \\ \\ \boxed{[-2, -1]}[/tex]
I am joyous to assist you at any time.
1cm 8cm 4cm: surface area
Answer:
Perimeter of Triangle sum of all sides.
=13 cm
Answer:
heres ur answer good luck
https://www.web-formulas.com/Math_Formulas/Geometry_Surface_of_Cube.aspx
Step-by-step explanation:
compare the numbers with
>, <, =
- 3.5 ____ 2.8
7.4 ____ - 9
Answer:
-3.5 < 2.8
7.4 > -9
Step-by-step explanation:
If you have a negative number and a positive number the positive number is always greater.
When you have a negative number and another negative, the smallest number is greater.
For example: -2.5 -3.7
-2.5 is greater than -3.7 because it is less negative.
-2.5 > -3.7
When you have a positive number and a positive number, the biggest number is greater.
For example: 8.3 4.2
8.3 is greater than 4.2 because it is a bigger number.
8.3 > 4.2
Write a system of equations that represents the situation.
The sum of two numbers is 15. The second number is equal to the first number plus 1.
Let x = the first number Let y = the second number
First sentence: Equation 1:
Second sentence: Equation 2:
Do not include spaces in your equations.
Part 2: Find the numbers. ( ,)
Answer:
See below.
Step-by-step explanation:
Let x = the first number
Let y = the second number
First sentence: Equation 1: x+y=15
Second sentence: Equation 2: y=x+1
Part 2: Find the numbers.
x + y = 15
y = x + 1
x + x + 1 = 15
2x + 1 = 15
2x = 14
x = 7
y = x + 1 = 7 + 1 = 8
The numbers are 7 and 8.
Answer:
x = 7
y = 8
Step-by-step explanation:
x + y = 15
y = x + 1
Part 2:
x + (x + 1) = 15
x + x + 1 - 1 = 15 - 1
2x = 14
2x/2 = 14/2
x = 7
y = 7 + 1
y = 8
Therefore, x = 7 and y = 8
HELP FOR TEST PLZ
find measure of angle 1
Answer:
the answer should be 98
Step-by-step explanation:
try it
Out of 400 people sampled, 368 had kids. Based on this, construct a 95% confidence interval for the true
population proportion of people with kids.
Give your answers as decimals, to three places
Answer:8.7
Step-by-step explanation:
Find the value of x.
Answer: x=133
Step-by-step explanation:
This is a hexagon that has a total of 720 degrees (which you can get by the formula of degrees = (# of sides – 2) * 180).
You first add up all your side:
150+130+97+120+90 +x = 587 + x
587+x = 720
x=133
PLS I NEED HELP
Which angle pair relationship shows that two lines are parallel?
a. Two alternate interior angles are supplementary.
b. Two vertical angles are congruent.
c. Two corresponding angles are congruent.
d. Two adjacent angles are supplementary.
Answer:
The answer is C I know that is right
HELP ME PLEASE! I need to figure out the median and Interquartile of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10
Answer:
The median is 8
Step-by-step explanation:
4+4=8
It is 8 because the middle numbers there are 4 and 4
Please help me with this question it contains angles and measurements
Answer:
m∠ONP = 43*
m∠LNO = 137*
m∠MNP = 137*
Step-by-step explanation:
Each line segment is a straight line meaning they are each worth 180°, so if you take 43° from 180° you're eft with 137° which is what ∠LNO and ∠MNP are equal to. ∠ONP is 43° since it is a vertical angle to ∠MNL which is also 43°.
what would be the most appropriate domain for the functions
Answer:
Plz subscribe my Gaming channel Sameer Duos
Step-by-step explanation:
The correct answer is whole number
Help is this correct??
Answer:
if the cubes were hidden, but I belive the answer is none
Step-by-step explanation:
Answer:
Yes it is B when looking at it from top view thats what it comes out to look like great job.
The height, h, of a baseball thrown upward with an initial velocity of 10
feet per second from 6 feet above the ground is modeled by the function
h = -16x2 + 10x + 6, where x is the time in seconds. How long does it
take before the ball hits the ground?
Answer:
1 second
Step-by-step explanation:
use the general quadratic formula
Erin is ordering a laptop computer. The computer costs $1,360.00, and there is a 6% sales tax.
What is the amount of sales tax Erin will owe for her computer?
Answer:
$81.6
Step-by-step explanation:
(1,360.00)(6%)=81.6
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?
Answer:
[tex]\frac{1}{5^6}[/tex]
Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
The volume of a cube is 365cm3.
Work out the length of its side rounded to 1 DP.
Answer:
12.4
Step-by-step explanation:
rounded to 1dp
please mark as brainliest if correct
thank you
Answer:
12.4 is the answer.
Step-by-step explanation:
#CarryOnLearning19. The function f(x) = 27x – 67.5 has an
* -intercept at (a,0). The function g(x) is
defined in the table below and has an
x-intercept at (b,0). How much greater is the
value of b than the value of a?
Answer:
First we have the function f(x) = 27*x - 67.5
It has an x-intercept at (a, 0)
This means that:
f(a) = 0 = 27*a - 67.5
Solving the above equation we can find the value of a.
0 = 27*a - 67.5
67.5 = 27*a
67.5/27 = a = 2.5
Now let's look at equation g(x).
It is a linear equation, remember that a linear equation can be written as:
g(x) = y = A*x + B
Where:
A is the slope, and B is the y-intercept.
If the line passes through the points (x₁, y₁) and (x₂. y₂), the slope can be written as:
A = (y₂ - y₁)/(x₂ - x₁)
In this case we can select any two points from the table, for example, I will use the second and third points:
(1, 39) and (2, 32.5)
Then the slope is:
A = (32.5 - 39)/(2 - 1) = -6.5/1 = -6.5
Then the equation is something like:
g(x) = y = -6.5*x + B
B is the y-intercept, to find this value, we can use one of the two points we used before.
For example, (1, 39) means that g(1) = 39
Then:
g(1) = -6.5*1 + B = 39
= B = 39 + 6.5 = 45.5
Then the equation for g(x) is:
g(x) = -6.5*x + 45.5
Now, we know that g(x) has an x-intercept at (b, 0)
this means that:
g(b) = 0 = -6.5*b + 45.5
6.5*b = 45.5
b = 45.5/6.5 = 7
Then the difference between b and a is:
b - a = 7 - 2.5 = 4.5
b is equal to a plus 4.5
And the ratio is:
b/a = 7/2.5 = 2.8
b is 2,8 times larger than a.