Answer: [tex]\frac{3 +- \sqrt{23}i}{2}[/tex] If using complex numbers, or undefined if using all real numbers
Step-by-step explanation:
Moving -8 to the left side of the eq by adding both sides by 8=
x^2-3x+8=0
The quad formula:[tex]\frac{-b +- \sqrt{b^2-4ac}}{2a}[/tex]
a=1 b=-3 c=8
Inserting a b c values into formula: [tex]\frac{-(-3) +- \sqrt{(-3)^2-4(1)(8)}}{2(1)}[/tex]
Simplifying: [tex]\frac{3 +- \sqrt{9-32}}{2}[/tex]
[tex]\frac{3 +- \sqrt{-23}}{2}[/tex] Since the square root of a negative number doesn't exist in the set of real numbers, the equation is undefined.
OR
[tex]\frac{3 +- \sqrt{23}i}{2}[/tex] Using complex numbers i, to replace the negative number created by subtracting 9-32.
5|x +9| < 10
x< ?
x> ?
Answer:
x<−7 and x>−11
Step-by-step explanation:
Let's solve your inequality step-by-step.
5(|x+9|)<10
Step 1: Divide both sides by 5.
5(|x+9|)/5 < 10/5
|x+9|<2
Step 2: Solve Absolute Value.
|x+9|<2
We know x+9<2 and x+9>−2
x+9<2(Condition 1)
x+9−9<2−9(Subtract 9 from both sides)
x<−7
x+9>−2(Condition 2)
x+9−9>−2−9(Subtract 9 from both sides)
x>−11
Answer:
x<−7 and x>−11
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathbf{5|x + 9| < 10}[/tex]
[tex]\huge\textbf{Solving:}[/tex]
[tex]\mathbf{5|x + 9| < 10}[/tex]
[tex]\huge\textbf{DIVIDE 5 to BOTH SIDES:}[/tex]
[tex]\mathbf{\dfrac{5|x \ + \ 9|}{5} = \dfrac{10}{5}}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{|x + 9| < 2}[/tex]
[tex]\huge\textbf{Solve the absolute value:}[/tex]
[tex]\mathbf{|x + 9| < 2}[/tex]
[tex]\huge\textbf{Possibly we know that:}[/tex]
[tex]\mathbf{x + 9 < 2 \ and\ we\ know\ that \ x+9 > -2}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{x + 9 < 2}[/tex]
[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]
[tex]\mathbf{x + 9 - 9 < 2 -9}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{x < -7}[/tex]
[tex]\huge\textbf{Solving for:}[/tex]
[tex]\mathbf{x + 9 > -2}[/tex]
[tex]\huge\textbf{SUBTRACT 9 to BOTH SIDES:}[/tex]
[tex]\mathbf{x + 9 - 9 > -2 - 9}[/tex]
[tex]\huge\textbf{Simplify it!}[/tex]
[tex]\mathbf{x > -11}[/tex]
[tex]\huge\textbf{Answer(s):}[/tex]
[tex]\huge\boxed{\mathsf{x < -7\ or\ x > -11}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The kind of statistics that focuses on providing a description that illuminates some characteristic of a numerical dataset and has value as an estimate of a real-world measure is called
The kind of statistics that provides a description that illuminates some characteristic of a numerical dataset and has an estimate is called descriptive.
What does descriptive statistics mean?Descriptive statistics is a branch of statistics field that sheds light on a given feature of datasets.
Descriptive statistics uses numerical coefficients to analyze datasets that may represent the overall population or only a sample.
In conclusion, the statistics that provides a description that illuminates some characteristic of a numerical dataset is called descriptive.
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If lines I and m are parallel, which pair of angles are congruent?
o 2 and 3
o 1 and 8
o 4 and 5
o 1 and 7
Answer:
last choice
angle 1 and 7 are alternet xterior angles
Step-by-step explanation:
The following system of equation is given: -7x+7y=7\newline 2x-2y=-18−7x+7y=7
2x−2y=−18
Choose the correct solution for the system.
The given system of equation has no solution.
What is a System of Equation ?The set of equation that have common solution is called the system of equation
The equation given are
- 7x + 7y = 7
2x - 2y = -18
On simplifying the equations
- x + y = 1
x - y = -9
On adding these equations there is no solution
as
[tex]\rm \dfrac {a_1}{a_2 } = \dfrac{b_1} {b_2} \ne \dfrac{c_1}{c_2}[/tex]
The given system of equation has no solution.
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find the sum (3x^2+2x+3)+(x^2+x+1)
Hello !
Answer:
4x² + 3x + 4
Step-by-step explanation:
(3x² + 2x + 3) + (x² + x + 1)
= 3x² + 2x + 3 + x² + x + 1
= 3x² + x² + 2x + x + 3 + 1
= 4x² + 3x + 4
Solve each triangle. Round answers to the nearest tenth.
The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Sine rule is used to show the relationship between the sides and angles of a triangle.
In the triangle XYZ:
∠X + ∠Y + ∠Z = 180° (sine rule)
22 + 39 + ∠Y = 180
∠Y = 119°
Using sine rule:
XY / sinZ = XZ / sinY
XY / sin(39) = 29 / sin(119)
XY = 20.9
Also:
YZ / sinX = XZ / sinY
YZ / sin(22) = 29 / sin(119)
YZ = 12.4
The value of the missing triangle sides and angles are XY = 20.9, YZ = 12.4 and ∠Y = 119°
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reflect the points p(4,-3) and q(7,2) on the line which passes through the origin and point (4,4).state the coordinate of image p and q
Answer:
P' (- 3, 4 ) , Q' (2, 7 )
Step-by-step explanation:
the line passing through the origin and (4, 4 ) has equation
y = x
a point reflected in the line y = x
(x, y ) → (y, x ) , then
P (4, - 3 ) → P' (- 3, 4 )
Q (7, 2 ) → Q' (2, 7 )
Find the product of √4(√8+3).
O 4√2+6√3
O 2√3+6
O 8√2+6√3
O 4√2+6
Answer:
Step-by-step explanation:
hello :
√4=2 and √8=2√2
√4(√8+3). =2(2√2+3)=4√2+6
Answer:
4√2 +6
Step by step explanation:
To find the product of the the above question, we open bracket.
The question is in surd form.√4(√8+3)
removing brackets.
√4×√8 + √4×3
2√8 + 2×3
2× √4×√2 + 6
2× 2 √2 + 6
4√2 + 6
What is the value of x in the figure shown below?
3.6
A
C
57⁰
80⁰
4.5
4.5
D
3.6
B
Answer: [tex]57^{\circ}[/tex]
Step-by-step explanation:
[tex]\triangle ACB \cong \triangle DBC[/tex], so by CPCTC, [tex]x=57^{\circ}[/tex]
please help I need help ill pick brainlyist
20points
Hello and Good Morning/Afternoon
Let's take this problem step by step:
What the problem wants to find:
⇒ area of a parallelogram
What is the area formula of the parallelogram:
⇒ Area = Base * Height
Let's gather the information necessary:
Base: 12 inHeight: 11 inLet's solve:
⇒ Area = 12 * 11 = 132 in²
Answer: 132 in²
Hope that helps!
#LearnwithBrainly
Answer:
132 inches squared
Step-by-step explanation:
Area is 132 inches squared
Method 1:
Area of parallelogram = base x height = 11inches x 12 inches = 132 inches squared
Method 2:
Move the triangle divided by the dotted line on the right to the left.
It becomes a rectangle of 11 inches by 12 inches. 11 inches x 12 inches = 132 inches squared.
Find the surface area.
Answer: 30506.49303
Step-by-step explanation:
A sum of money in a savings account is represented by the following function:
A = 9, 000(1. 03)t where t is the number of years the money is invested.
What is the initial sum of money in the account?
The initial sum of money in the account is 9000
How to determine the initial sum of money?The function is given as:
A = 9, 000(1.03)^t
The above function is an exponential function.
An exponential function is represented as:
A = ab^t
Where
a represents the initial value
By comparison;
a = 9000
Hence, the initial sum of money in the account is 9000
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You should be able to find this
without a calculator.
sin cos
(co
1
√√3
2
?]
[ ]
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
sin([tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] )
using the sides of the 30- 60- 90 triangle
with legs 1, [tex]\sqrt{3}[/tex] and hypotenuse 2 , then
[tex]cos^{-1}[/tex] [tex]\frac{\sqrt{3} }{2}[/tex] = 30° and
sin30° = [tex]\frac{1}{2}[/tex]
answer:
1/2
Step-by-step explanation:
sin 30º=-√3/2, 1/2 or π/6
cos=√3/2
sin= 1/2
anybody can help me?
The proportional graph that corresponds to the situation is: Graph C.
What is a Proportional Graph?A proportional graph is a straight line graph with a constant of proportionality, k = y/x. The equation of the graph is defined as, y = kx.
The equation, M = 3n, has a constant of proportionality as, k = 3.
In graph C, using a point on the line, (400, 1,200), the constant of proportionality, k = 1,200/400
k = 3.
Therefore, the answer is: C.
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What is the area of the shaded portion of the circle?
A: (16pi-32) in^2
B: (16pi-8) in^2
C: (64pi- 32) in^2
D: (64pi - 8) in^2
Answer:
1st option
Step-by-step explanation:
the area of the shaded portion is calculated as
area of sector - area of white Δ
area of sector = area of circle × fraction of circle
= πr² × [tex]\frac{90}{360}[/tex] ( r is the radius )
= π × 8² × [tex]\frac{1}{4}[/tex]
= 64π × [tex]\frac{1}{4}[/tex]
= 16π in²
area of Δ = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
here b = h = 8
area of Δ = [tex]\frac{1}{2}[/tex] × 8 × 8 = [tex]\frac{1}{2}[/tex] × 64 = 32 in²
then
area of shaded portion = (16π - 32 ) in²
Write the answer of p/q form 7.6 bar
7.6 expressed in p/q form is 7 3/5.
What is 7.6 in p/q form?
7.6 is in decimal. The decimal is a number that consists of integers and non integer. The integers are to the left of the decimal point and the non-integers are to the right of the decimal point.
In order to convert 7.6 to a fraction, note that 7 is the whole number while 0.6 is the non integer.
7.6 = 7 + 6/10
7 3/5
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3. 46,386
4. 1,020,615
Write in word form
Answer:
46,386=Forty six thousand three hundred eighty six.
1,020,615=One million twenty thousand and six hundred fifteen.
The temperature outside is initially recorded, in Fahrenheit degrees at 8:00 AM and is re-recorded at various times throughout the day. The
temperature recordings are represented by the number line below.
The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A number line is a straight line with numbers placed at equal intervals.
Let x represent the temperature in degrees Fahrenheit, from the number line:
x < 69°F
The temperature in degrees Fahrenheit outside at various times throughout the day is given by the inequality x < 69°F
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please help in maths
The equivalent expressions of 22c + 33d are (a), (c) and (e)
How to determine the equivalent expressions?The expression is given as:
22c + 33d
Factor out 11 from the expression
11(2c + 3d)
Multiply by 1
1 * 11(2c + 3d)
Express 1 as -1 * -1
-1 * -1 * 11(2c + 3d)
Evaluate the product
(-11) * (-2c - 3d)
Also, we have:
22c + 33d
Multiply by 1
(22c + 33d) * 1
Express 1 as 3/3
(22c + 33d) * 3/3
Evaluate the product
(66c + 99d) * 1/3
Hence, the equivalent expressions are (a), (c) and (e)
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If mauricio does a job in 6 hrs less time than Alyson, and they can do the job together in 4 hrs, how long will it take to do the job alone
Mauricio takes 24 hours, and Alyson takes 24/5 hours if the Mauricio does a job in 6 hrs less time than Alyson.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let x and y be the time to take the job for Mauricio and Alyson respectively
1/x = 1/y - 1/6 ..(1)
1/x + 1/y = 1/4 ..(2)
After solving the equations:
[tex]\rm \dfrac{1}{\dfrac{6y}{6-y}}+\dfrac{1}{y}=\dfrac{1}{4}[/tex]
y = 24/5 hours
x = 24 hours
Thus, Mauricio takes 24 hours, and Alyson takes 24/5 hours if Mauricio does a job in 6 hrs less time than Alyson.
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Help please I will mark brainliest
Answer:
are we supposed to solve the graph
Step-by-step explanation:
Write the rule for the table, use x for the input.
The linear function that gives the rule for the table is: y = -8x + 2.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.In this problem, when x = 0, y = 2, hence the y-intercept is of b = 2. When x increases by 1, y decreases by -8, hence the slope is of m = -8, and the rule is given by:
y = -8x + 2.
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mark the congruent parts of the triangles and complete the proof
1) given
2) definition of an angle bisector
3) reflexive
4) [tex]\triangle ABD \cong \triangle CBD[/tex] (ASA)
5) [tex]\angle A \cong \angle C[/tex] (CPCTC)
A jar contains 18 jelly beans: 7 purple jelly beans, 3 green jelly beans, and 8 orange jelly beans. Without looking. Travis picks 1 jelly bean from the jar. What is the probability of each of the following outcomes? [ P(green) - 2 P(purple) 3 P(orange) - 4 P(not green) 5. P(purple or green) 6. P(not orange)
Answer:
1/6, 7/18, 4/9, 5/6, 5/9, 5/9
Step-by-step explanation:
Owen made 60% of the shots he attempted during his hockey practice. He made 18 shots. How many shots did Owen attempt during his hockey practice?
Answer:
he attempted 30 shots
Step-by-step explanation:
60 percent of 30 is 18 and 40 percent of 30 is 12 so you at 12 plus 18 and get 30
One angstrom is the tenth billionth part of a meter. express this information in scientific notation
The scientific notation for the given information is 1 × [tex]10^{-10}[/tex]. Thus, one angstrom is written as 1 × [tex]10^{-10}[/tex] and denoted by A°.
How to write in scientific notation?Scientific notation is used to write very large numbers or very small numbers in a simple way that is easy to understand and easy for calculate.
A number is written in scientific notation as follows:
Scientific notation: m × [tex]10^n[/tex]
where m is the absolute value of the number or a decimal number and n is the power and 10 is the base.
Expressing the given information in scientific notation:The given information is,
One Angstrom = ten billionths part of a meter
Since ten billion = [tex]10^{10}[/tex]
So, ten billionth part of a meter = 1 ×1/[tex]10^{10}[/tex] = 1 × [tex]10^{-10}[/tex].
therefore, the scientific notation for one Angstrom is 1 × [tex]10^{-10}[/tex].
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HELPP,what’s the answer?
[tex]\rm y\ \le2x+1[/tex] , [tex]\rm y\le-x+3[/tex] , Option B represents the the graph given .
What is an Inequality ?An Inequality is a statement that connects two algebraic expression by an inequality operator.
To determine the solution of the inequalities , the common area that comes under the inequality will be found
The graph plotted using
y ≥ 2x +1 and y ≥ - x+3
it doesn't represent the solution as given in the question graph , graph no.1
The graph given in the question is the solution of the set of inequalities
This can be understood by Graph 2
[tex]\rm y\ \le2x+1[/tex]
[tex]\rm y\le-x+3[/tex]
As all the inequalities of all the options were plotted and the solution to the system of inequality is represented by the graph
Therefore Option B is the correct answer.
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Triangle L N M is cut by a bisector that forms a right angle with the base and splits the base into 2 congruent lengths. The lengths of sides L N and N M are congruent. Angle L N M is (6 x + 1) degrees. Angle N M L is (4 x minus 11) degrees.
What is the measure of ∠NLM?
m∠NLM =
The value of ∠NLM = 29 degree
What is a Triangle ?A triangle is a polygon with three sides , angles and vertices.
It is given that a Δ LNM is cut by a bisector
The bisector forms a right angle at the base and splits in tnto two congruent lengths
LN = NM
∠LNM = 6x +1
∠NML = 4x -11
∠NLM = ?
∠NLM =∠NML = 4x -11
as 6x +1 is the value of the angle bisector
By the angle sum property
4x -11 +4x -11 + 12x+2 = 180
20x = 200
x = 10
The value of ∠NLM =
4x - 11 = 4 * 10 - 11 = 29 degree
Therefore the value of ∠NLM = 29 degree
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Answer: A.) ✔ 29 degrees
Step-by-step explanation: i hope this helps :)
Quick algebra 1 assignment for 50 points!
Answer:
1. graphing a linear using slope
2. Determine the learning goals of your tutoring session
- convert equations to slope-intercept forms.
- graph linear equations from the slope-intercept form.
3. Provide a brief overview of the graphing method that you will be demonstrate.
- use this formula y=mx+b to make the equation into slope intercept form
- Then graph the line equation using the slope intercept form
4. Plot the line Y = 2x+3 starting with the y-intercept and then using the slope
Steps on how to do number 4
1. Find the y-intercept = b of the equation y = mx + b.
2. Plot the y-intercept. The point will be (0, b).
3. Find the slope=m of the equation y = mx + b.
4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)
5. Connect those two points with your line.
Should look like the first graph below
5. Plot the line y= -3x+2 starting with the y-intercept and then using the slope.
Answer key
Use these steps
Find the y-intercept = b of the equation y = mx + b.
2. Plot the y-intercept. The point will be (0, b).
3. Find the slope=m of the equation y = mx + b.
4. Make a single step, using the rise and run from the slope. (Make sure you go up to the right if it's positive and down to the right if it's negative.)
Second graph is what number 5 question is supposed to look like
36. Salma has a salary of 6.2 x 10 to the power of 4 dollars per year. Carter has a salary of
1.2 x 10to the power of 6 dollars per year. How much larger is Carter's salary than
Salma's?
5.2 x 10²
5 x 10to the power of-2
7.4 x 10 to the power of 10
1.138 x 10to the power of6
Carter's salary is $1.1138⁶ more than Salma's salary.
How much larger is Carter's salary than Salma's?To perform the difference, we need to be able to take a common factor.
We know that Salma's salary is $6.2×10⁴
While Carter's salary is $1.2×10⁶
To get the same common factor, 10⁴, we can divide and multiply Carter's salary by 100, so we get:
[tex]1.2*10^6*\frac{100}{100} = (1.2*100)*(10^6/100) = 120*10^4[/tex]
Then Carter's salary is $120*10⁴
The difference between Carter's and Salma's salaries is:
$120*10⁴ - $6.2×10⁴ = $113.8*10⁴
If we return to the scientific notation, we get:
$113.8*10⁴ = $1.1138⁶
This means that Carter's salary is $1.1138⁶ more than Salma's salary.
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