The two values that serves as the root of the equation are -1-√7 and -1+√7
Root of quadratic equationGiven the quadratic equation below;
X² + 2X (-6) = 0
x^2 + 2x - 6 = 0
Using the general formula
x = -2±√2²-4(1)(-6)/2(1)
x = -2±√4+24/2
x = -2±√28/2
x = -2±2√7/2
x = -1±√7
Hence the two values that serves as the root of the equation are -1-√7 and -1+√7
Learn more on quadratic equation here: https://brainly.com/question/25841119
#SPJ1
Give the equation of the line through (9,7) with y-intercept = -5
Answer:
y = 4/3x - 5
Step-by-step explanation:
y-intercept will be (0,-5)
so m = (y2-y1)/(x2-x1)
m = (-5 -7)/(0 - 9) = (-12)/(-9) = 4/3
Using m = 4/3, y = 7, x = 9
y = mx + b
7 = 4/3(9) + b
7 = 12 + b
b = -5
so
y = 4/3x - 5
Victor thinks that negative 28 / 6 Is greater than negative 100² root cubed. Sean thinks that 17 / 4 is greater. Who is correct
The numbers arranged in a sequence will be - ∛100² < - 4.67 < - 4.25 Both Victor and Sean are correct.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Victor thinks that negative 28 / 6 Is greater than negative ∛100². Sean thinks that 17 / 4 is greater.
The value of the number negative 28 / 6 will be - 4.67.
The value of the number negative ∛100² will be - 21.54.
And the value of the number negative 17/4 will be - 4.25.
The numbers are arranged in a sequence.
- ∛100² < - 4.67 < - 4.25
Both Victor and Sean are correct.
More about the inequality link is given below.
https://brainly.com/question/19491153
#SPJ1
The side-by-side stemplot below displays the arm spans, in centimeters, for two classes.
A stemplot titled Arm Span (centimeters). For Class A, the values are 148, 151, 153, 155, 156, 159, 161, 162, 164, 165, 169, 169, 170, 171, 175, 176, 179, 179, 180, 182, 183, 186, 186, 190. For Class B, the values are 153, 155, 16, 160, 162, 162, 162, 163, 163, 165, 166, 167, 170, 173, 180, 181, 182, 189, 192, 202.
Which statement correctly compares the arm spans for Class A to those of Class B?
The mean arm span for Class A is much lower than Class B’s.
The mean arm span for Class B is much lower than Class A’s.
The mean arm span for Class A is much higher than Class B’s.
The mean arm span for Class B is about the same as Class A’s.
Answer:
D
Step-by-step explanation:
I got it right!
Answer:
d
Step-by-step explanation:
took the test
10. Alice bought 2.3
pounds of apples for $2.99
per pound. How much did
she spend on apples?
HELP PLEASEEEEEEEEEEEEEE
Answer:
Step-by-step explanation:
Solve parts of equation in order:
Brackets
Indices
Division
Multiplication
Addition
Subtraction
8 + 2 x 7 - 9 = 63
8 + (2 x 7) - 9 not = 63 (multiplication is the first thing that applies to this equation)
(8 + 14) - 9 not = 63
22 - 9 = 13
So the error would be it equals 13 not 63
Answer:
9 is supposed to be 7
Step-by-step explanation:
8 + 2 = 10
10 × 7 = 70
70 - 7 = 63
5) Imagine that a family just secured a loan for their new home with the following terms:
Loan amount: $160,000 Interest rate: 7% Length of loan: 30 years
Regular Monthly payments: $1064.48 (that is “R” already calculated for you!)
The wife, a sharp former MATH 170 student, suggests that if they make payments of HALF their regular monthly payments every two weeks (instead of a full payment once per month), they would pay off the loan much more quickly and save A LOT of money overall. Find the total amount they would save if they did this.
Hints (follow these steps): Find the half payment (one half of R that’s given!!). If payments are every two weeks, what is n (how many two weeks periods are there in one year?). Use those terms (new R and n) and solve for time. Now find total payments in this case (Rnt), and compare to original loan’s total payments.
I need a answer for this question and it has to be step by step
Answer:
150 student now school gema plyar
A grocery store sells four different jars of peanut butter. Determine which is the best buy, based on the cost per unit. 16 ounces for $1.70 20 ounces for $1.90
26 ounces for $3.33 40 ounces for $4.64
Round this number to the nearest ten thousand.
84,759
A. 80,000
B. 84,000
C. 85,000
D. 90,000
Answer:
Step-by-step explanation:
Answer:
80,000 A
Step-by-step explanation:
it is under 85000 so it is rounding down to 80,000
Amazon is offering a $17.95 discount on a pair of wireless headphones. You pay $71.80 for the headphones after the discount. Write and solve an equation to find the original price of the headphones.
Use "x" for your variable
Answer:
x - 17.95 = 71.80
Use the commutative property of addition
71.80 + 17.95 = 89.75
$89.75 was the original price.
Step-by-step explanation:
Hope it helps! =D
Amir drove from Jerusalem to the lowest place on Earth, the Dead Sea.
His altitude relative to sea level (in meters) as a function of time (in minutes) is graphed.
What was Amir's altitude at the beginning of the drive?
The equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
What is Straight line?A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.
First of all let's write the slope-intercept form of the equation of a line, which is:
y=mx+b
where m is the slope and b is y intercept.
So we just need to find m and b to solve this problem.
Moreover, this problem tells us that Amir drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. So this rate is the slope of the line, that is:
m=-12
Negative slope because Amir is descending. So:
y=-12x+b
To find b, we need to use the information that tells us that he was at sea level after 30 minutes of driving, so this can be written as the point (30,0
). Therefore, substituting this point into our equation:
y=-12x+b
0=12(30)+b
0=-360+b
b=360
Finally, the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is:
y=-12x+360.
Therefore the equation of Amir's altitude relative to sea level (in meters) and time (in minutes) is: y=-12x+360.
To learn more on straight lines click:
https://brainly.com/question/27560536
#SPJ1
Which expression is equivalent to (xy-5)2 for all values of x and y where the expression is defined?
Answer:
hi hhhhhhdhwjwheheheuhehegdhue
оп 6 от о
Select the correct answer.
Which expression is equivalent to the given expression?
-5y2 +50y - 105
(5y 35) (-y + 7)
(-5y + 21) (y - 5)
O-5(y - 3)(y-7)
-5(y + 21) (y + 1)
-
The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.
According to the statement
We have to find that the value of the given expression.
So, For this purpose, we know that the
Algebraic expression definition, a symbol or a combination of symbols used in algebra, containing one or more numbers, variables, and arithmetic operations
From the given information:
-5y^2 +50y - 105
Now to find the value of this
Rearrange the expression by taking the common values from this.
then
-5y^2 +50y - 105 = 0
-5y^2 +50y - 105 = 0
5(-y^2 +10y - 21) = 0
5(-y^2 +10y - 21) = 0
5(y^2 - 10y + 21) = 0
Now make factors of it then
5(y^2 - 7y - 3y + 21) = 0
5(y (y -7) -3(y-7)) = 0
5(y-3) (y-7) = 0
So, The value of the expression become 5(y-3) (y-7) = 0. Thus , The option C is correct.
Learn more about Algebraic expression here
https://brainly.com/question/3624808
#SPJ9
Find the distance between the pair of points: (-14, 9) and (3, 9)
Answer:
[tex] \large{ \boxed{ \star{ \tt \: answer : 14 \: units}}}[/tex]
Please see the attached picture for full solution!
-------- HappY LearninG <3 -----
12. Eloise, Lucinda and Jennifer are given £150 by their aunt. They are told to share it in a 5:3:2 ratio. How much money will Lucinda receive?
Answer:
£45
Step-by-step explanation:
sum the parts of the ratio , 5 + 3 + 2 = 10 parts
divide the amount by 10 to find the value of one part of the ratio.
£150 ÷ 10 = £15 , then
3 parts = 3 × £15 = £45 ← amount Lucinda receives
The slope of the parabola
The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.
How to determine the equation of a line tangent to a parabola
Parabolae are defined by quadratic equations, that is, equations whose form is y = a · x² + b · x + c. The slope of a line tangent to a point of the curve is defined by a linear equation, that is, an equation of the form y = m · x + b. By derivative rules, the slope of the tangent line can be found by using the following expression:
m = 2 · a · x + b
Then, if we know that y = 2 · x² - 3 · x + 5 and x = 4, then the equation of the tangent line is:
Slope
m = 4 · x - 3
m = 4 · 4 - 3
m = 13
Intercept
b = y - m · x
y = 2 · 4² - 3 · 4 + 5
y = 32 - 12 + 5
y = 25
b = 25 - 13 · 4
b = 25 - 52
b = - 27
The equation of the line tangent to the parabola at x = 4 is y = 13 · x - 27. The tangent line has a slope of 13 and a intercept of - 27.
To learn more on tangent lines: https://brainly.com/question/27760700
#SPJ1
What is the vertical distance (Δ`y`) for this slope triangle
What is the horizontal distance (Δ`x`) for this slope triangle?
The vertical distance (Δ`y`) for the slope triangle as indicated is; (4-2) ; 2.
The horizontal distance (Δ`x`) for the slope triangle as indicated is; (4-0) ; 4.
What is the vertical distance (Δ`y`) and horizontal distance (Δ`x`) for this slope triangle?According to the task content, it follows that the vertical and horizontal distance for the slope triangle in discuss are to be determined.
Hence, by observation, Δ`y` can be obtained on the graph from points 4 and 2; we have; 4-2 = 2.
Also, by observation, Δ`x` can be obtained on the graph from points 4 and 0; we have; 4-0 = 4.
Ultimately, the vertical and horizontal distances of the slope triangle are as indicated.
Read more on slope triangle on a graph;
https://brainly.com/question/24820338
#SPJ1
the perimeter of a triangle is 13 cm whose two sides are 4 cm and 5cm . find the area
The area of the Triangle is 7.8 cm².
The perimeter of the triangle is given to be 13cm.
As we know,
perimeter of triangle = sum of length of all sides of the triangle.
13cm = 4cm + 5cm + third side
third side = 4cm.
Hence two side of the triangle are equal to 4cm. We can say that this is an isosceles triangle, with the base length as 5cm and the other two equal sides of length 4cm.
Let say the base length is B and the other sides length is A.
So area of the isosceles triangle can be given by,
Area = 1/2 x B x √(A²-B²/4)
Area = 1/2 x 5 x √(4²-5²/4)
Area = 1/2 x 5 x √(16 - 25/4)
Area = 1/2 x 5 x 3.12
Area = 7.8 cm².
The area of the triangle is 7.8cm².
To know more about Area of Isosceles Triangle, visit
https://brainly.com/question/16754556
#SPJ9
5x² - 20x + k = 0 has exactly one real solution, show that k=20
Answer:
x = 2
Step-by-step explanation:
5x^2 - 20x + 20 = 0
5 (x^2 - 4x + 4) = 0
x^2 - 4x + 4 = 0
x -2
x -2
(x - 2)(x - 2) = 0
-------------------------
x - 2 = 0
x = 2
-----------------------------
5x² - 20x + k = 0
k = - 5x² + 20x
k = - 5(2)² + 20(2)
k = -20 + 40
k = 20
Answer + Step-by-step explanation:
Consider the equation :
5x² - 20x + k = 0
∆ = b² − 4bc is the discriminant of the quadratic equation.
In our equation :
a = 5 ; b= -20 ; c = k
Then
∆ = (-20)² − 4×5×k
= 20² − 20k
= 20×(20 − k) (Factoring)
The equation 5x² - 20x + k = 0 has exactly one real solution
if and only if ∆ = 0.
Solving the equation ∆ = 0 :
∆ = 0
⇔ 20×(20 − k) = 0
⇔ (20 − k) = 0 (Zero product property)
⇔ k = 20
What is the difference between the largest prime number less than 50 and the sma
than 10?
O 35
O 36
O 37
O 38
help please i’ll give brainlist
Answer:
they all can't be divided
(0.5r +1.2) - (3.6-4.5r) = (4.8-0.3x) + (10.5r +0.6)
Answer:
Step-by-step explanation:
Help me please i need urgently
The equation of the line passing through points (-3,0) and (0,3) is y=x+3.
The equation of the line passing through two points (x₁,y₁) and (x₂,y₂) can be calculated using the formula y-y₁=m(x-x₁) , where m denotes the slope of the line .
from the given graph we can find that the line passes through the two points (-3,0) and (0,3)
we get the values , as x₁=-3 , x₂=0 and y₁=0 , y₂=3 .
Slope of the line can be calculated by using the formula ,
m=(y₂-y₁)/(x₂-x₁)
Substituting the values we get ,
m = (3-0)/(0+3)
m=3/3 = 1
Now substituting the values of x₁, x₂, y₁, y₂ and m in the formula of equation of line we get ,
y-0=1(x-(-3))
y-0=1(x+3)
y-0=x+3
y=x+3
Therefore , the equation of the line passing through points (-3,0) and (0,3) is y=x+3.
Learn more about Equation Of Line here
https://brainly.com/question/1463082
#SPJ1
through: (3,-4), perp. to y=-7x
Answer:
y = x/7 + 31/7
or 7y = x + 31
Step-by-step explanation:
The slopes of two perpendicular lines are negative reciprocals of each other so slope will be 1/7
m = 1/7, y = -4, x = 3
y = mx + b
-4 = 1/7(3) + b
b = 3/7 + 4
b = 3/7 + 28/7
b = 31/7
so
y = x/7 + 31/7
or 7y = x + 31
Which is the best estimate of 162% of 79?
112
119
128
136
Answer:
nwm zycze powodzenia kolego drogi
A planet in another solar system has a solar constant S = 2,000 W/m2, and the distance between the
planet and the star is 100 million km.
What is the total power output of the star? (Give your answer in Watts.)
3.5 * [tex]10^{9}[/tex] WATTS IS THE TOTAL OUTPUT OF THE STAR
WHAT IS POWER ?Electrical power is the rate at which electrical energy transforms into another form, such as motion, heat, or an electromagnetic field. The capital P is frequently employed as a symbol representing authority. The universal unit is the watt, which is represented by the letter W. Utility circuits typically have a kilowatt (kW) indication, which is 1000 W.
CALCULATIONSummarized Version:
1-The values of the solar constants were imparted to us by our planet, the first object in our solar system.
2-We therefore know the value of the solar constant for the given solar system, which consists of a planet and the star it orbits.
3-Therefore, if you assume that the orbit is circular, the radius of the orbit will be determined by multiplying the value of the solar constant by 10 to the power 11 m and the radius.
4-We can therefore state that the star's power output is simply equal to the solar constant times the orbit's area.
5-What. So, this is the star's power output for the particular solar system.
The second part of the inquiry now asks what the solar constant will be if the distance between the planet and the star is reduced to 75,000,000 km.
6-We also need to determine what the new solar constant for the solar system will be.
So, in this case, power is equal to area times the solar constant once more.
The solar constant, multiplied by four, multiplied by 3.14, multiplied by are here is 75 multiplied by 10 to the power nine full square, giving us 25.12 multiplied by 10 to the power 25, which is equivalent to that.
We can calculate the value of the solar constant as follows: 25.12 multiplied by 10 to the power of 25 split by four; 3.14 multiplied by 75 square; and 10 multiplied by10.
LEARN MORE ABOUT POWER HERE :
brainly.com/question/27442707
#SPJ9
William and his children went into a restaurant where they sell hamburgers for $8 each and drinks for $2.50 each. William has $95 to spend and must buy no less than 18 hamburgers and drinks altogether. If xx represents the number of hamburgers purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
95=Xx9 +Yx2.50
Step-by-step explanation:
The inequalities graphically shows the given situation is 95 ≥ +2.50y + 18x. The graph is attached below.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for that equation or inequality might be true. Such values are called solution to that equation or inequality.
Here Set of such values is called solution set to the considered equation or inequality.
We have been given that William and his children went into a restaurant where they sell hamburgers for $8 each and drinks for $2.50 each.
Since William has $95 to spend and must buy no less than 18 hamburgers and drinks altogether.
If x represents the number of hamburgers purchased and y represents the number of drinks purchased then;
95 ≥ +2.50y + 18x
Learn more about inequalities here:
https://brainly.com/question/27425770
#SPJ2
7 + (4 + 8) = (7 + 4) + 8
Answer:
true
Step-by-step explanation:
How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time?
Answer:
5mph=20 hours to do 100 miles with a bicycle
10mph=10 hours to do 100 miles with a bicycle
15mph=6hours 40minutes(maybe)to do 100miles with a bicycle
20mph=5 hours to do 100miles with a bicycle
25mph=4 hours to do 100 miles with a bicycle
the faster u go the time will decrease
the slower u go the time will increase
hope that helped I didn't really understand much
If x² + 6x + 16 = (x + a)² + b for all values of x, find the values of a and b.
Answer:
find the value of 8x³-y³ if 2x-yand xy
=-1
Given f(x) = 4/3 x + 1 determine f^-1 (x)
Answer:
[tex] \sqrt[2]{?5} x25 \geqslant 6 - 9 + 88 = 2[/tex]
Answer:
f^-1(x)=(3/4)x