4×4=16
3×3=9
16+9=25
[tex] \sqrt{25} [/tex]
=5
ans =5
What are the 3 types of solutions for systems?
The three types of solutions for systems are:
Consistent solutionsInconsistent solutionsDependent solutionsA consistent system is one where the number of equations is equal to the number of unknowns, and a unique solution can be found. An inconsistent system is one where the number of equations is greater than the number of unknowns and there is no solution.
A dependent system is one where the number of equations is less than the number of unknowns and an infinite number of solutions exist. In a consistent and dependent system, the solution can be found by using methods such as elimination or substitution.
In an inconsistent system, the system has no solution. In dependent system, the solution can be found by using methods such as elimination or substitution, but the solution is not unique it has infinite solutions.
Learn more about Types of Solutions here:
https://brainly.com/question/21616442
#SPJ4
Find all the real and complex solutions of the polynomial equation. Be sure to show ALL work (4 points):
The real and complex solutions of the polynomial equation are 2,-3i and 3i
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial is x³-2x²+9x-18
Factor out x² from x³-2x² which becomes x²(x-2)
Factor out 9 from 9x-18 which becomes 9(x-2)
x³-2x²+9x-18
x²(x-2)+9(x-2)
Factor out common term x-2
( x²+9)(x-2)=0
x²+9=0
x=-3i and 3i
x-2=0
x=2
Hence, the real and complex solutions of the polynomial equation are 2,-3i and 3i
To learn more on Polynomials click:
https://brainly.com/question/11536910
#SPJ1
please help!!!! Thank you!!
Answer:
10
Step-by-step explanation:
(25 points for the answer)
If John save 1/5 of his paycheck how much money would it take him to get to 14,500$ for his holiday trip? He earns $9062.5 each paycheck. (Unrealistic question unless you are under paid severely)
Use multiplication or division ONLY!
The amount of john would save 2900 rs
14500*1/5=2900
How much he earns on paycheck?A paycheck, also spelled paycheque, pay check or pay cheque, is traditionally a paper document issued by an employer to pay an employee for services rendered.a check used to pay an employee the amount of money the employee has earned.A paycheck can be an actual piece of paper (a check) that a person can take to the bank to deposit to their account or exchange for cash. Alternatively, a paycheck can be money a company electronically deposits directly into the employee's bank account.Take a look at how each common payroll interval works: Weekly: Once a week (52 paychecks per year) Biweekly: Once every other week (26 paychecks per year) Semimonthly: Twice per month (24 paychecks per yearTo learn more about paycheck refers to:
brainly.com/question/8049056
#SPJ1
ava has 2 dozen pencles.3/8 of them are sharpened. how many are sharpened? how many are not?
Answer:
3/8 of 24 is 9
9 are sharpened so 24-9=15
15 pencils are not sharpened.
please help me
If 6 times a number = 3 times the same number,
What is that number?
Answer:
I'm pretty sure it's either 27, or 12.
Step-by-step explanation:
What value of x satisfies the equation − 3 4x − 5 )= 2 1 − 5x?
For the given expression, x has a value of 6.5.
What are expressions?A sentence qualifies as a mathematical expression if it comprises one or more mathematical operations, at least two numbers, or variables.
A number is 6 times larger than the other number, x, by a factor of 2.
The equation x/2 + 6 in mathematics represents this claim.
Here, we have the equation:
-3(4x - 5) = 2(1 - 5x)
Find the value of x by solving the expression:
-3(4x - 5) = 2(1 - 5x)
-12x + 15 = 2 - 10x
-2x = -13
x = -13/-2
x = 13/2
x = 6.5
Therefore, for the given expression, x has a value of 6.5.
Know more about expressions here:
brainly.com/question/28934492
#SPJ4
Correct question:
What value of x satisfies the equation -3(4x - 5) = 2(1 - 5x)?
The volume of a sphere is given by the equation V = 1/6(square root of 3.14) x 60^3/2
where S is the surface area of the sphere. Find the volume of a water walking ball, to the nearest cubic meter
Chicken is on sale for $2.29 per lb at the grocery store. If Jerry buys 3 lbs, what would be his final cost including 6% tax?
The number of blueberry muffins that a baker makes each day is 40% of the total number of muffins she makes, on Monday the baker makes 36 blueberry muffin what is the total number of muffins that the baker makes on Monday.
Answer:
90
Step-by-step explanation:
40% is for 36
(100*36)/40
Im doubting my choice on this question can someone help?
Answer: You're correct
Step-by-step explanation:
All values on the dice are < 7, so 6/6 are less.
6/6 simplifies to 1, so that is also correct.
6/6 = 1 = 100%
0/6 is incorrect.
Answer:
You are 100% correct so dw abt it!
Step-by-step explanation:
I'm sorry
HELP PLEASE !!!
What is the measure of ‹1?
Answer:
<1 = 114
Step-by-step explanation:
<1 = <7 because they're alternate exterior angles.
Since <7 is 114, <1 is also 114.
A rectangular tissue box is 52
5
inches long, 4 inches wide, and 1 1
4
inch tall. What is the
volume of the tissue box? Round to the nearest tenth.
hi add me now or else
How do you solve inequalities in 7th grade?
Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤. To ‘solve’ an inequality means to find a range, or ranges, of values that an unknown x can take and still satisfy the inequality.
Suppose we want to solve the inequality x + 3 > 2.
We can solve this by subtracting 3 from both sides:
x + 3 > 2
x > −1
So the solution is x > −1. This means that any value of x greater than −1 satisfies x + 3 > 2.
Inequalities can be represented on a number line such as that shown in the image attached below. The solid line shows the range of values that x can take. We put an open circle at −1 to show that although the solid line goes from −1, x cannot actually equal −1.
To know more about inequality visit: brainly.com/question/28823603
#SPJ4
What is the discriminant of 3x^2 2x 1 0?
The discriminant of quadratic equation 3x^2 + 2x + 1 =0 is -8
We know that the standard form of quadratic equation is ax^2 + bx + c = 0, with a ≠ 0
The discriminant of quadratic equation ax^2 + bx + c = 0 is:
D = b^2 - 4ac
Comparing given quadratic equation 3x^2 + 2x + 1 =0 with ax^2 +bx + c = 0 we get,
a = 3, b = 2 and c = 1
So, the discriminant of given equation would be,
D = b^2 - 4ac
D = 2^2 - 4(3)(1)
D = 4 - 12
D = -8
Therefore, the discriminant is D = -8
Learn more about quadratic equation here:
https://brainly.com/question/9549600
#SPJ4
Consider a sequence whose five terms are: 3, 9, 27, 81, 243 Which function ( with domain all integers could used to define and continue this sequence
Answer: a(n)=3^n as an infinite sequence
I do not know whether you've been introduced to series notation yet, though if you haven't, a(n)=3^n pertains to sequences specifically.
a(n) = 3^n = {3^1, 3^2, 3^3, 3^4, 3^5...}
Which equals 3^n = {3, 9, 27, 81, 243...}
Please show your work; only #8!
Answer:
x = 0.16
Step-by-step explanation:
Step 3:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
[tex]x = - \frac{11 - \sqrt{185} }{16}[/tex]
Then, evaluate for x:
x = 0.16259190... which is about,
x = 0.16
GIVING BRAINLIEST POINTS Graph the parabola: (x+2)^2= -12(y-1)
Answer:
did you type the right question give me the correct one and i will help
Step-by-step explanation:
Given the table of values, determine the the constant of proportionality, then write the equation of the proportion.
The constant of proportionality is 9 and equation of the proportion.
is y= 10x.
What is Constant of Proportionality?If the ratio of one variable to the other is constant, then there is a proportional relationship between the two variables. If x and y are in a proportional relationship, then the ratio of y to x is the constant of proportionality.
Given:
As, we know using the Constant of Proportionality
y = kx
or, k = y/x where k is Constant of Proportionality.
Then, from the table we have
k = 90/9
k= 10
Thus, y = kx
or, y= 10x
Hence, the equation of the proportion is y= 10x.
Learn more about Constant of Proportionality here:
https://brainly.com/question/29126727
#SPJ1
what type of shape is this?
Please help thank you
What is an equation of the line that passes through the points (-4, -1) and (6, -1)
Answer:
y = -1
Step-by-step explanation:
y2 - y1 / x2 - x1
-1 - (-1) / 6 - (-4)
0
y = 0x + b
-1 = 0(-4) + b
-1 = 0 + b
-1 = b
omg guyzzz where r u
Answer:
we are here, where have you been...???
Answer:
im at ur frien joe's house
Step-by-step explanation:
Consider the quadratic function defined by:
f (x) = −3(x −1)(x + 6)
a. State the zeros of the function: ____________________
b. Express this function in standard form by expanding & simplifying.
Answer:
[tex]\implies x = 1 \quad or -6 \\\\\implies f(x) = -3x^2-15x + 18 [/tex]
Step-by-step explanation:
Given :-
A quadratic function is given to us. The function is -3(x-1)(x-6)And we need to find out the zeroes of the quadratic function and we need to express it in Standard form. T
Function :-
[tex]\implies f(x)= -3(x-1)(x+6) [/tex]
So for finding the zeroes equate it with 0 .So that ,[tex]\implies f(x)=0 \\\\\implies -3(x-1)(x+6)=0 \\\\\implies (x - 1 )(x+6) = 0 \\\\\implies x = 1 \quad or \quad -6 [/tex]
Therefore the zeroes are 1 and -6 .
Expressing in Standard form :-
The standard form of a quadratic equation is ,
[tex]\implies ax^2+bx + c = 0 [/tex]
And that of a quadratic function is ,
[tex]\implies f(x) = ax^2+bx + c [/tex]
Simplifying the equation :-
[tex]\implies f(x)= -3(x-1)(x+6)\\\\\implies f(x) = (-3x +3)(x+6) \\\\\implies f(x) = -3x(x+6)+3(x+6)\\\\\implies f(x) = -3x^2 -18x +3x + 18\\\\\implies f(x) = -3x^2-15x + 18 [/tex]
Hence the Standard form of the equation is -3x² - 15x + 18 .
what is the equation of the line graphed below?
Answer:
2x +3y = 15 or y = -2/3x +5
Step-by-step explanation:
You want the equation of the line with y-intercept 5 and x-intercept 7.5.
EquationThe intercept form equation can be written ...
x/a +y/b = 1
where 'a' is the x-intercept and 'b' is the y-intercept.
The given intercepts of a=7.5 and b=5 mean we can write the equation as ...
x/7.5 +y/5 = 1
Multiplying by 15 gives the standard-form equation ...
2x +3y = 15
Solving for y gives the slope-intercept equation ...
y = -2/3x +5
The backyard of a new home is shaped like a trapezoid with a height of 46 ft and bases of 78 ft and 111 ft. What is the cost of putting sod on the yard, if the landscaper charges $0.21 per square foot for sod?
The sod will cost $
Answer:
$899.54
Step-by-step explanation:
To find the cost of sod for a trapezoid shaped yard, we need to first find the area of the trapezoid. The formula for the area of a trapezoid is:
Area = (1/2) * h * (b1 + b2)
where h is the height of the trapezoid and b1 and b2 are the lengths of the bases.
Substituting the given values, we get:
Area = (1/2) * 46 ft * (78 ft + 111 ft)
= (1/2) * 46 ft * 189 ft
= 4274 ft^2
To find the cost of sod for this area, we need to multiply the area by the cost per square foot of sod. The cost will be:
Cost = 4274 ft^2 * $0.21/ft^2
= $899.54
So the cost of sod for this yard will be $899.54.
A kite is shaped like an isosceles triangle. To the nearest tenth what is the length of the spine?
The length of the spine will be;
⇒ 48.2 cm
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
A kite is shaped like an isosceles triangle.
Now,
Since, A kite is shaped like an isosceles triangle.
Hence, Two sides of a triangle is equal to each other.
Let the length of the spine = x
So, We can formulate by the Pythagoras theorem,
⇒ Hypotenuse² = Base² + Perpendicular²
⇒ 62² = (78/2)² + x²
⇒ 3844 = 39² + x²
⇒ 3844 = 1521 + x²
⇒ 3844 - 1521 = x²
⇒ 2323 = x²
⇒ x = √2323
⇒ x = 48.2 cm
Thus, The length of the spine = 48.2 cm.
Learn more about the triangle visit:
https://brainly.com/question/17335144
#SPJ1
Bookwork code: E13 Work out the equation of the straight line shown below. Give your answer in the form y = mx + c, where m and care integers or fractions in their simplest forms. 7 4- 3. 2- 1- -6 -5 -4 -3 -2 -1.0 -1- --2- --3- -4- -5- Calculator not allowed T 2 3 4 5 6 X
Answer:
y = -5x +4
Step-by-step explanation:
You want the point-slope equation of the line with y-intercept +4 and through the point (1, -1).
SolutionThe graph shows you the line decreases 5 units from +4 to -1 as x increases 1 unit from 0 to 1. This tells you the slope is ...
m = rise/run = -5/1 = -5
The y-intercept is the value of y where the line crosses the y-axis:
b = 4
These values go into the point-slope equation:
y = mx +b . . . . . . line with slope m and y-intercept b
y = -5x +4 . . . . . . line with slope -5 and y-intercept 4
Mr Hong is a rare coin collector. He recently bought a coin valued at $5400. It has been determined that the coin will increase in value by $30 each month. Mr Hong plans to sell the coin within 5 years. a. name the quantities that stay the same in this problem situation & the quantities that remain constant .
Which variation is represented by this situation:
Martha earns $375 when she works 5 hours. How much will she earn
if she works 12 hours? Is it direct variation or inverse variation?
Direct variation is represented by this situation and she earn $900
if she works 12 hours.
What are direct variation and indirect variation?Direct variation describes a relationship whereby one measure directly affects the other when the first one changes. This is completely opposed by inverse variation. Learn the definitions of direct and inverse variations in this article, along with some instances that have been solved.
How do inverse and direct variations differ from one another?When x is not equal to 0, y = kx is the equation that describes the linear function known as direct variation. An equation of the form xy = k, where x is not equal to zero and k is a nonzero real number constant, describes the nonlinear function known as inverse variation.
5 hours = earns $ 375
1 hours = 375/5 = earns $ 75
12 hours = 75 12 = earns $ 900
To know more about Direct variation visit:-
brainly.com/question/11592410
#SPJ1