Answer:
39
Step-by-step explanation:
2×4²+7
2×16+7
32+7=39
(brainlist ty)
Helppp MEEEEE PLSSSSSS ⁉️⁉️❓❓❓❓❓❓
A) a
B) 0
C) 1
D)2
E)c
======================================================
Explanation:
The general quadratic ax^2+bx+c = 0 has these properties
sum of the roots = -b/aproduct of the roots = c/aFor more information, check out Vieta's formulas.
If we flip the bx term to -bx, thereby getting ax^2-bx+c = 0, then we have these properties
sum of the roots = b/aproduct of the roots = c/aWe're told the sum and product of the roots are the same
b/a = c/a
b = c
Example:
The equation x^2-10x+10=0 has the sum of the roots equal to 10, and the product of the roots is also 10. You can use the quadratic formula to confirm this.
Answer:
12
Step-by-step explanation:
good right? if not then your question was wrong
earle bailey has 20 songs to choose from but can play only 7 in the next half‑hour on siriusxm classic vinyl. how many different (ordered) playlists are possible? (use decimal notation. give your answer as an exact number.)
The answer is 77520.
What is meant by decimal notation?Decimal notation is an alternative way to represent fractional values in mathematics. This indicates that base 10 is being used for the fractional representation. Both the fractions and decimals can be transformed. For instance, the decimal representation of the fraction 5/10 is 0.5.Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is considered standard form. If you look closely, you will see that 1.23 is a decimal between 1.0 and 10.0, and as a result, we have the standard form of 123,000,000 as 1.23 108.Because they represent a portion of a whole number, decimals are equivalent. The distinction is that fractions and decimals are written using different notations. We can visually estimate how much of a full number we are working with thanks to decimal notation.How many different (ordered) playlists are possible?
Number of possible playlists = 77520
Explanation:
Total number of songs = 20
Songs in the playlist = 7
So, we need to select 7 songs out of 20. This can be done using combinations.
n = 20 , r=7
C( n , r ) = ?
C( n , r ) = C (20 , 7)
= 20! / ( 7! (20-7)!)
= 20! / ( 7! × 13! )
= 77520
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Write the equation of the line in point-slope form:
(-8, 2) (-6, 8)
The equation of the line in point-slope form is:
y - 8 = 3(x + 6) or y - 2 = 3(x + 8).
What is the Equation of a Line in Point-Slope Form?The equation, y - b = m(x - a), represents the equation of a line in point-slope form, where:
(a, b) is a point on the linem is the slope of the line.Given two points, (-8, 2) and (-6, 8), find the slope (m) of the line that passes through the two points:
Slope (m) = change in y / change in x = (8 - 2)/(-6 -(-8))
Slope (m) = 6/2
Slope (m) = 3
Substitute m = 3 and (-6, 8) into y - b = m(x - a):
y - 8 = 3(x - (-6))
y - 8 = 3(x + 6)
Or substitute m = 3 and (-8, 2) into y - b = m(x - a):
y - 2 = 3(x - (-8))
y - 2 = 3(x + 8)
Therefore, the equation of the line in point-slope form is:
y - 8 = 3(x + 6) or y - 2 = 3(x + 8).
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Ray QS bisects Angle PQR and m of Angle RQS = 71 °
Find m of Angle PQS and m of Angle PQR
The measure of the ∠PQS will be 71° , and the measure of the ∠PQR will be 142°.
What is an angle bisector ?
The angle bisector is the line or line segment that divides the angle into two identical portions.
Given that line, QS is bisecting the angle PQR into two angles RQS and PQS.
We know that the angle bisector bisects the two angles into two equal halves , i.e.,
∠ PQS = ∠ RQS
So ; the measure of ∠ PQS will be :
∠ PQS = 71°
So , if we want to calculate the measure of ∠PQR then it can be represented as the sum of two angles.
∠ PQR = ∠PQS + ∠RQS
or
∠PQR = 71° + 71°
or
PQR = 142°
Therefore, the measure of the ∠PQS will be 71° , and the measure of the ∠PQR will be 142°.
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Hi i need the explanation for this question in the photo asap!!!!!!
Use a double-angle identity to find the exact value of sin 120° .
Answer:
[tex]\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
[tex]\sin 2x=2\sin x \cos x \\ \\ \sin 120^{\circ}=2\sin 60^{\circ} \cos 60^{\circ} \\ \\ =2(\sqrt{3}/2)(1/2) \\ \\ =\frac{\sqrt{3}}{2}[/tex]
9 - 3x + x - 15 combining like terms
Hey there!
9 - 3x + x - 15
= 9 - 3x + 1x - 15
COMBINE the LIKE TERMS
= (9 - 15) + (-3x + 1x)
= (-3x + 1x) + (9 - 15)
= (-3x + x) + (9 - 15)
= -3x - x + 9 - 15
= -2x - 6
Therefore, your answer should be:
-2x - 6
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Dilate (9, 9) using a scale factor of 1/3
after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.
We are given a point:
( 9 , 9 )
We have the scale factor as:
1 / 3
We need to dilate the point using the scale factor.
So, we get that:
( 9 × 1 / 3 , 9 × 1 / 3 )
= ( 3 , 3 )
Therefore, after dilating the point ( 9 , 9 ), we get the point as ( 3 , 3 ) with the scale factor as 1 / 3.
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Tristan wants to build a square garden in his backyard that will cover an area of 75ft(squared). If Tristan has 32 feet of material for the perimeter of the garden, does he have enough? Explain
The 32 feet of the material for the perimeter of the garden is not enough as the perimeter of the garden is 34.64 feet.
We are given that:
Area of a square garden = 75 feet²
Let the side of the square garden be x
x² = 75
x = √ 75
x = 5 √3 feet
Perimeter of the square garden = 4 × x feet
Perimeter = 4 × 5 √ 3 feet
Perimeter = 20 √ 3 feet
P = 34.64 feet.
Now, Tristan only has 32 feet of material.
So, the material is not enough.
Therefore, we get that, the 32 feet of the material for the perimeter of the garden is not enough as the perimeter of the garden is 34.64 feet.
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Which one of the following points lies on the line 3y=2x-1?
The graph given below y = -x + 2 have a negative slope and a positive y intercept. The point (2, 1) lies on the line 3y = 2x - 1
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The graph given below have a negative slope and a positive y intercept. The graph is given by y = -x + 2
Given the equation
3y = 2x - 1
When x = 2:
3y = 2(2) - 1
y = 1
Therefore, The point (2, 1) lies on the given line 3y = 2x - 1
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What is the solution of √x+2=x ?
After the solution, the value of x for the equation √x+2 = x is 2.
What, accurately, is an equation?An equation is a mathematical statement composed of two representations joined by an equal sign.An example of an equation would be 3x - 5 = 16.After solving this equation, we get the value for the variable x as x = 7.So,
Given the equation: √x+2 = x
Then,
To get a quadratic, square it:
x+2=x²x²-x-2=0Quadratic formula:
x=1/2(1±√1+8)x=1/2(1±3)x=-1, 2However, when we square in our work, we must ensure that we haven't accidentally introduced extra roots.
In this case, -1 is not a solution to the original equation, whereas 2 is.
Therefore, after the solution, the value of x for the equation √x+2 = x is 2.
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Use long division to convert 11/20 to a decimal.
It should be noted that converting 11/20 to a decimal through division will gives 0.55.
How to illustrate the information?This can be illustrated as follows. It should be noted that the quotient is the value obtained by dividing one value by another. The quotient is 11.
The divisor is the value that divides. It should be noted that in this case, this is illustrated as 20.
It should be noted that 11 is the numerator and 20 is the denominator.
Therefore, it should be noted that converting 11/20 to a decimal through division will gives 0.55.
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which answer choice repsents the quotient of 98,673 divided by 222
Answer: I can't see the answer choices but 98,673 divided by 222 is 444.5
hope this helps :)
Finn and Gabby are selling raffle tickets for a school fundraiser. If Gabby sold 17 fewer raffle tickets than Finn did, which of the following represents the relationship between f, the number of tickets Finn sold and g, the number of tickets Gabby sold?
A. f + g = 17
B. f - g = 17
C. fg = 17
D. f/g = 17
Answer:
B. f - g = 17
Write each expression in simplest form. ∛125 x⁶ - ∛27 x⁶
The simplified expression after solving the given equation is 2 [tex]x^{6}[/tex] .
The given expression is,
[tex]\sqrt[3]{125}[/tex] x⁶ - [tex]\sqrt[3]{27}[/tex] x⁶ equation 1
Name the given expression as equation 1.
To simplify the given expression first we need to solve step wise,
[tex]\sqrt[3]{125}[/tex] = [tex]\sqrt[3]{25.25.25}[/tex] = 5
[tex]\sqrt[3]{27}[/tex] = [tex]\sqrt[3]{3.3.3}[/tex] = 3
Now, we need to substitute the above solved values in equation 1 and after substituting them we can write as follows:
[tex]\sqrt[3]{125}[/tex] x⁶ - [tex]\sqrt[3]{27}[/tex] x⁶ = 5[tex]x^{6}[/tex] - 3[tex]x^{6}[/tex]
On further simplifying, we will get
[tex]\sqrt[3]{125}[/tex] x⁶ - [tex]\sqrt[3]{27}[/tex] x⁶ = 2[tex]x^{6}[/tex]
Thus we can write that the simplified expression after solving the given equation is 2 [tex]x^{6}[/tex] .
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Use the properties of exponential and logarithmic functions to solve each system. Check your answers.
y=2 x⁺⁴
y-4x⁻¹=0
The solved logarithmic functions are log y = log 2 + 4 log x and log y = 2 log 2 - log x for y = 2x⁺⁴ and y - 4x⁻¹ = 0 respectively.
What is a logarithmic and exponential function?
Logarithmic functions and exponential functions are inverses of each other. The logarithmic function is denoted by using the word log while exponential by using the alphabet, e. For example log 10 = 1 and e^2.
Solving the given expressions: y = 2x⁺⁴, y - 4x⁻¹ = 0
Applying given properties of logarithmic and exponential function;
log a + log b = log (ab)
4 log x = log x⁴
e^(log x) = 1
e^(x + y) = (e^x) × (e^y)
Take expression y = 2x⁺⁴
Applying log on both sides, we get,
log y = log (2x⁺⁴)
log y = log 2 + log x⁺⁴
log y = log 2 + 4 log x
To Check Results,
Taking exponential,
y = e^[log 2 + 4 log x]
y = e^(log 2) × e^[4 log (x)]
y = 2 × e^(log x⁴)
y = 2x⁴
Thus, the answer is verified.
Take expression y - 4x⁻¹ = 0
Applying log on both sides, we get,
log y = log (4x⁻¹)
log y = log 4 + log x⁻¹
log y = 2 log 2 - log x
To Check Results,
Taking exponential,
y = e^[2 log 2 - log x]
y = e^(2 log 2) × e^[-log (x)]
y = e^(log 4) × e^(log x⁻¹)
y = 4x⁻¹
y - 4 x⁻¹ = 0
Thus, the answer is verified.
Hence, the solved expression is log y = log 2 + 4 log x and log y = 2 log 2 - log x for y = 2x⁺⁴ and y - 4x⁻¹ = 0 respectively.
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Use a table to solve each equation. Round to the nearest hundredth.
5²x=56
[tex]5^{2x}[/tex] = 56 => x = 1.252, by properties of logarithm.
What is Logarithm?The opposite of exponentiation is the logarithm.This indicates that the exponent to which a fixed number, base b, must be raised in order to obtain a specific number x, is represented by the logarithm of that number.A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.
Given: [tex]5^{2x}[/tex] = 56
Taking logarithm on both sides:
=>log([tex]5^{2x}[/tex]) = log (56)
As [tex]log_b(a)^m = m (log_b(a))[/tex],
=> 2x ( log 5) = log (56)
=> 2x = [tex]\frac{log56}{log5}[/tex]
=> 2x = [tex]\frac{1.748}{0.698}[/tex]
=> 2x = 2.504
=> x= 1.252
Hence, [tex]5^{2x}[/tex] = 56 => x = 1.252, by properties of logarithm.
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6x^2-5xy-6y^2
factor it
Step-by-step explanation:
Answer:
(3x + 2y) (2x - 3y)
Step-by-step explanation:
Check it using the FOIL method - first times first, outer times outer, inner times inner, last times last
Find a value of 3x-2 when x =4
If x=4, then substitute x for 4, multiply by 3 since 3 was being multiplied by x, then subtract 2, which gets you 10
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32 meters
18 meters
8 meters
6 meters
Answer:
18 meters
Step-by-step explanation:
24 is dilated by 3/4
Which means 24 * 3/4 or 24 * .75
i t h i n k
Write the equation of the line passing through the points (-4,5) and (-5,4)
Answer:
y=x+9
Step-by-step explanation:
The general equation for a straight line is y=mx+c
1. first we need to find the gradient (m) to do this we do
4-5/-5-(-4)
which gives the answer of 1. This means or gradient (m) is 1. we can substitute this in our general formula y=mx+c which gives
y=1x+c this can also be written as y=x+c
2. we need to find the value of c. to do this we can sub in any co-ordinates from the question in this case we will be using (-4,5)
-4 is the x co-ordinate
5 is the y co-ordinate
5= -4+c
to get c we add 4 on each side we get
9=c
we can sub this into the equation we produced with the gradient giving us
y=x+9
3. the final answer is y=x+9
if there are "n" packets of Jelly tots. The chocolates are three more than 4 times the Jelly Tots Write down an algebraic expression for the number of chocolates.
Answer:
3+(4x)
Step-by-step explanation:
The algebraic expression will be written as:
x=jelly tots
The number of chocolates=3+(4×x)
=3+(4x)
The algebraic expression for the number of chocolates is 4n + 3 where n is number of packets of Jelly Tots.
Let's use variables to represent the number of Jelly Tots and chocolates:
Let "n" be the number of packets of Jelly Tots.
Now, the number of chocolates is three more than 4 times the number of Jelly Tots.
So, represent the number of chocolates as:
Number of chocolates = 4 * n + 3
4 * n represents 4 times the number of Jelly Tots.
Multiplying the number of Jelly Tots by 4 gives us the chocolates without the additional 3.
- +3 represents the additional chocolates.
Thus, the algebraic expression is 4n + 3.
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estimate 1624 divided by 23 using compatible numbers
The estimate of the quotient 1624 divided by 23 using compatible numbers is 81
How to estimate the quotient of the numbers using compatible numbersThe quotient of numbers is the result of dividing the numbers
The statement is given as
1624 divided by 23 using compatible numbers
The expression can be represented as:
1624 ÷ 23
Using compatible numbers, 1624 can be estimated as 1620, while 23 can be estimated as 200:
So, the expression becomes
1624 ÷ 23 = 1620 ÷ 20
Next, we divide the estimated numbers
So, we have
1624 ÷ 23 = 81
Hence, the estimate of the quotient 1624 divided by 23 using compatible numbers is 81
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For what positive integers n are the domain and range of y=n√x the set of real numbers? Assume that x is a real number.
The domain and range will be a set of all real numbers for all the odd positive integers.
In its simplest form the domain is all the values that go into a function, that is the values for which function is defined and the range is all the values that come out that is the result obtained by putting all the domain valuesWe can write given equation as y² =n²x
if we Put even value of n then we get function similar to y²=x which does not match with the given question
If we put the odd value of n then we get function similar to y³ = x which match with the given question.
Hence the domain and range will be a set of all real numbers for all the odd positive integers.
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Simplify each radical expression. Use absolute value symbols when needed. 5√0.00032 x⁵
The value of radical expression 5√0.00032 x⁵ is (6.4e-5)x.
By considering the given radical expression
5√0.00032 x⁵
=(0.00032 x⁵ )^1/5
=(6.4e-5)x
A y-intercept, a horizontal asymptote, a domain (the range of x values at which the function exists), and a constant growth factor, b, are the four main characteristics of exponential functions.
An expression with a square root is referred to as a radical expression. Radicand: A value or phrase contained within the radical symbol. Equation with radical expressions and variables as radicands is referred to as a radical equation.
The 'V'-shaped portion of the radical symbol will have a superscript number when it is used to represent any root other than a square root. For instance, the expression 3(8) denotes the cube root of 8.
The radical symbol, which resembles a check mark, the index, a small number written outside the radical symbol, and the radicand, a quantity written beneath the horizontal bar of the radical symbol, are the three main components of the radical expression a^b.
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plot the point in a coordinate plane then determine whether AB and CD are congruent A(-2, 1), B(2, 1), C(3, 2), D(3, -2).
For the given points, As the distance of AB and CD is same, So AB and CD are congruent.
What are congruent lines?If and only if their lengths are identical, any two line segments are congruent. The length of the line segment AB is identical to the length of the line segment CD in the aforementioned representations. Consequently, the two line segments AB and CD are similar.
length of AB = √(2+2)² + (1-1)² = 2
length of CD = √(3-3)² + (2+2)² = 2
As the value of AB = CD So, we can say that AB and CD are congruent.
Graph is attached at the end.
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Pls help this assignment is due today! I will give brainliest!
Answer:
Step-by-step explanation:
The slope is defined as the ratio of the “rise” divided by the “run” between two points on a line, or in other words, the ratio of the altitude change to the horizontal distance between any two points on the line.
The inclination of a straight line is the angle that the line makes with the positive direction of the x-axis. The tangent of the angle that a line makes with the positive direction of the x-axis is called the slope or gradient of the line. The slope of a line is generally denoted by m.
Given two points (x1, y1) and (x2, y2) on a line, the slope m of the line is y = (y2 – y1)/(x2 – x1)
The slope-intercept form of a line is given by y = mx + b gives the slope of line m and the y-intercept of line b. The inclination of the line with the horizontal axis is called the slope of the line. The point at which the curve cuts or crosses the y – axis is called the y-intercept.
which trinomials are perfect square trinomials? select each correct answer. m2 10m 100 m squared plus 10 m plus 100 m2 36m 60 m squared plus 36 m plus 60 m2 10m 25 m squared plus 10 m plus 25 m2 24m 144 m squared plus 24 m plus 144 skip to navigation
Answer:
You can use the definition of perfect square trinomials to find which of the given trinomials are perfect squares.
The trinomials which are perfect squares are:
Option B:
Option D:
What are perfect squares trinomials?
They are those expressions which are found by squaring binomial expressions.
How to find which of the given trinomials are perfect square trinomials?
Since the given trinomials are with degree 2, thus, if they are perfect square, the binomial which was used to make them must be linear.
Let the binomial term was am + b(a linear expression is always writable in this form where a and b are constants and m is a variable), then we will obtain:
Checking all options:
Option A:
Comparing it with the standard form we obtained, we have:
Option B:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Option C:
Comparing it with the standard form we obtained, we have:
Option D:
Comparing it with the standard form we obtained, we have:
Thus, this trinomial is perfect squares trinomial.
Thus,
The trinomials which are perfect squares are:
Option B:
Option D:
Step-by-step explanation:
Which statement about the ordered pairs (-9, 3) and (2, -4) is true for the equation 6x=14? 2
Both ordered pairs are solutions.
(-9, 3) is a solution to the equation.
Neither ordered pair is a solution.
(2, 4) is a solution to the equation.
Answer:
neither ordered pair is a solution
Step-by-step explanation:
to determine if the pairs are a solution, substitute the x- coordinate into the left side of the equation and if equal to the right side then they are a solution.
(- 9, 3 ) with x = - 9
6(- 9) = - 54 ≠ 14 ← not a solution
(2, - 4 ) with x = 2
6(2) = 12 ≠ 14 ← not a solution
the first 5 terms are -16,-7,2,11,20 what is the eighth number in this sequence
Answer:
29
Step-by-step explanation:
to get from -16 to -7 you have to add 9
to get from -7 to 2 you have to add 9
to get from 2 to 11 you have to add 9
and the same thing for 11 to 20
Answer: The answer
is 29 because the pattern of the number is 999999
Step-by-step explanation: