Answer:
Step-by-step explanation:
The roots of the quadratic equation below using the quadratic formula are option A. [-9 ± √105 ] / 6.
Given is a quadratic equation,
3x² + 9x - 2 = 0
Quadratic formula to find the roots of a general quadratic equation ax² + bx + c is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a
Here a = 3, b = 9 and c = -2.
Substituting the values,
x = [-9 ± [tex]\sqrt{9^2-(4)(3)(-2)}[/tex] ] / (2 × 3)
= [-9 ± [tex]\sqrt{81+24}[/tex] ] / 6
= [-9 ± √105 ] / 6
So the roots are [-9 ± √105 ] / 6.
Learn more about Roots of Quadratic Equations here :
https://brainly.com/question/26926523
#SPJ7
Use a trigonometric ratio to find the value of x. Round your answer to the nearest tenth
A. 5
B. 5.8
C. 17.3
D. 8.7
Answer:
B) 5.8
Step-by-step explanation:
Please help ;-; hdsjvhskjvbsjhvlsjvh
Answer:
a)
10 markers : 7 USD
24 markers : 14 USD
42 markers : 21 USD
b)
64 markers : 28 USD
Step-by-step explanation:
10 markers : 7 USD
24 markers : 14 USD
For 10 markers, the price is 7 USD;
For 14 additional markers, the price increased by 7 USD;
Following the pattern, an additional 18 markers would see the price further increase by 7 USD;
So:
24 + 18 = 42
42 markers : 21 USD
Then, an additional 22 markers would cost 7 USD more than this;
42 + 22 = 64
64 markers : 28 USD
What’s the range of 27, 28, 34, 34, 40, 43, 47, 50
Answer:
23
Step-by-step explanation:
you subtract 50 the max number from 27 the Lowest number
plz help asap. i beg
The answer is -15.
Because others are rational numbers but not integers.
-15 is the only rational number and integer.
Help high school geometry
Answer:
B
Step-by-step explanation:
bro trust me
The characteristic or value of a population that is under consideration is
called a(n)_____
parameter.
Answer: Population Parameter
The characteristic or value of a population that is under consideration is called a parameter, which represents a numerical summary of the population's attributes or features.
The characteristic or value of a population that is under consideration is called a parameter.
In statistics, a parameter refers to a numerical value that describes a specific characteristic of a population.
It is often used to make inferences or draw conclusions about the entire population based on a sample.
Parameters can include measures such as the population mean, population standard deviation, population proportion, or any other characteristic that helps describe the population of interest.
It is important to distinguish parameters from statistics, which are the corresponding values calculated from a sample and used to estimate or infer the population parameters.
for such more question on parameter
https://brainly.com/question/25092270
#SPJ11
Solve for. . Write your answer as “x=__”
Answer:
x=50
Step-by-step explanation:
Since it's a straight line, 3x-20+x=180. 4x=200, x=50
y-6=4(x+5) what is y and x intercept?
Answer:
x = [tex](-\frac{13}{2} ,0)[/tex] y = (0,26)
Step-by-step explanation:
First find the x intercept
To find the x intercept, substitute 0 for y and solve for x.
[tex](0)-6=4(x+5)[/tex]
Rewrite the equation as [tex]4(x+5)=(0)-6[/tex]
[tex]4(x+5)=(0)-6[/tex]
Subtract 6 from 0.
[tex]4(x+5)=-6[/tex]
Divide each term in [tex]4(x+5)=-6[/tex] by 4.
[tex]\frac{4(x+5)}{4} =\frac{-6}{4}[/tex]
Cancel the common factor of 4.
[tex]x+5=\frac{-6}{4}[/tex]
Simplify [tex]\frac{-6}{4}[/tex]
[tex]x+5=-\frac{3}{2}[/tex]
Subtract 5 from both sides of the equation.
[tex]x=-\frac{3}{2} -5[/tex]
To write [tex]-5[/tex] as a fraction with a common denominator, multiply by [tex]\frac{2}{2}[/tex]
[tex]x=-\frac{3}{2}-5[/tex] · [tex]\frac{2}{2}[/tex]
Combine [tex]-5[/tex] and [tex]\frac{2}{2}[/tex].
[tex]x=-\frac{3}{2} +\frac{-5*2}{2}[/tex]
Combine the numerators over the common denominator.
[tex]x=\frac{-3-5*2}{2}[/tex]
Simplify the numerator.
[tex]x=\frac{-13}{2}[/tex]
Move the negative in front of the fraction.
[tex]x=-\frac{13}{2}[/tex]
x = [tex](-\frac{13}{2} ,0)[/tex]
-----------------------------------------------------------------------------------------------------
Find the y-intercepts.
To find the y-intercept(s), substitute in 0 for x and solve for y.
[tex]y-6=4((0)+5)[/tex]
Add 0 and 5.
[tex]y-6=4 *5[/tex]
Multiply 4 by 5.
[tex]y-6=20[/tex]
Add 6 to both sides of the equation.
[tex]y=20+6[/tex]
Add 20 and 6.
[tex]y=26[/tex]
y = (0, 26)
Given the box plot, will the mean or the median provide a better description of the center
A rectangular playground is 8 meters wide. It is 3 times as long as it is wide. What is the area of the playground?
Answer: 192
Step-by-step explanation:
3 x 8 = 24
24 x 8 = 192
Does anybody know this
Answer:I believe it is Michael
Step-by-step explanation:because In the question it asks you which person enjoys their tea with at least one spoonful of sugar and if you go back to the chart it says Michael has 1 sugar
What do u need help with LOL
What is true when a system of equations has no solution?
Answer:
the set of possible solutions is the empty set {}.
or, whatever the equations describe is impossible.
or,... there can be many answers, depending on whatever the context of this question is.
A line has a slope of
3/2
and a y-intercept of
4/5
Which of the following is an equation of the line?
Answer:
The answer is 15x - 10y = -8
Find the focus of the parabola.
x² = 8y
y = x ^2 /8
Vertex: ( 0 , 0 ) Focus: ( 0 , 2 ) Axis of Symmetry: x = 0 Directrix: y = − 2
Solve the variables. See the photo below.
Answer:
[tex]x=4; \ y=\frac{8}{\sqrt{3}}.[/tex]
Step-by-step explanation:
1) in the triangle with the angles 45; 90 and 45°: x=4√2/√2=4;
2) in the triangle with the angles 60; 90 and 30°: y=x/sin60°= 4/(√3/2)=8/√3
Answer:
x = 32 y=[tex]\frac{8}{\sqrt{3} }[/tex]
Step-by-step explanation:
solving for x
take 45 degree as reference angle
using sin rule
sin 45 = opposite / hypotenuse
[tex]\frac{1}{\sqrt{2} } = \frac{x}{4\sqrt{2} }[/tex]
do cross multiplication
[tex]4\sqrt{2} * 1 = x * \sqrt{2}[/tex]
[tex]\frac{4\sqrt{2} }{\sqrt{2} } = x[/tex]
root 2 and root 2 gets cancel.Then ,
x = 4
solving for y
take 60 degree as reference angle
using sin rule
sin 60 = opposite / hypotenuse
[tex]\frac{\sqrt{3} }{2} = \frac{x}{y}[/tex]
just now we found the value of x i.e 4 now substitute the value of x here.
[tex]\frac{\sqrt{3} }{2} = \frac{4}{y}[/tex]
do cross multiplication
[tex]2*4 = y * \sqrt{3}[/tex]
[tex]\frac{8}{\sqrt{3} } = y[/tex]
Quadrilateral ABCD was transformed to create A'B'C'D'. If A'B'C'D' is reflected over the y-axis, what will be the coordinates of D''?
A.(-2, -3)
B.(-2, 3)
C.(2, -3)
D.(2, 3)
Answer:
well it would reflect over the y axis and make the x cords all negative making D(-2,-3) so A is the answer
A scuba diver used the expression below to describe his position in relation to sea level.2 + (negative 20) + 8Which statement could describe the diver's movements?
Answer:
Starting on a platform 2 feet above sea level, dive down to a location that is 18 feet below sea level, and then rise 8 feet.
Step-by-step explanation:
Using the 2 + (-20) + 8 to describe movement relative to sea level ;
2 can be taken as the starting point, positive values represents elevation above sea level ;
2 can be taken as 2 feet platform above sea level ;
- 20 represents distance dived from platform, negative signifies elevation below sea level ; the distance dived relative to sea level is (-20 + platform height)
(-20 + 2) = - 18
8 feets means a final elevation of 8 above sea level (positive value).
Solve for x. Round your answer to the nearest tenth.
Answer:
19.2
Step-by-step explanation:
(cos^-1)(17/18)
the GCD of three numbers is 30 and there LCM is 900 Two of the numbers are 60 abd 150 .what is the least possible value of the third number
Answer:
180
Step-by-step explanation:
Given the right triangle below what is x? Triangle Side #1 is 4 Triangle Side #2 is 10 Answers: A. 9.2 B.10.8 C. 84 D. 116
Answer:
9.2
Step-by-step explanation:
Using the pythagoras therorem
hyp^2 = opp^2 + adj^2
10^2 = 4^2 _+ x^2
100 = 16 + x^2
x^2 = 100 - 16
x^2 = 84
x = √84
x = 9.2
Hence the value of x is 9.2
If f(x) = 4x-3 and g(x) = x+4, find (f-g)(x).
A. 5x-1
B. 3x-7
C. 5x-7
D. 7-3x
Answer:
B. 3x - 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Algebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 4x - 3
g(x) = x + 4
(f - g)(x) is f(x) - g(x)
Step 2: Find
Substitute in functions: (f - g)(x) = 4x - 3 - (x + 4)[Distributive Property] Distribute negative: (f - g)(x) = 4x - 3 - x - 4[Subtraction] Combine like terms (x): (f - g)(x) = 3x - 3 - 4[Subtraction] Combine like terms: (f - g)(x) = 3x - 716 cm
13 cm
14 cm
CON
Answer:
84cm^2
Step-by-step explanation:
Solve for x. Help me out because I haven’t been paying attention all year
Answer:
x = 18
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(6+x)6 = (8+10)* 8
6*(6+x) = 8(18)
Divide each side by 6
6+x = 8(18)/6
6+x = 8*3
6+x = 24
Subtract 6 from each side
6+x-6 =24-6
x = 18
Convert r=53sinθ−cosθ to rectangular form.
Enter your answer in slope-intercept form by filling in the boxes. Enter values so that fractions are simplified.
Answer:
[tex]y = \frac{1}{3} x + \frac{5}{3}[/tex]
Step-by-step explanation:
r = 5/(3sinθ-cosθ)
multiply both sides by (3sinθ-cosθ):
r(3sinθ-cosθ) = 5
expand:
3rsinθ-rcosθ = 5
replace rsinθ with y and rcosθ with x:
3y-x = 5
add x to both sides:
3y = x + 5
divide both sides by 3:
y = 1/3x + 5/3
: )
Sharon bought a circular rug
If the diameter of the rug is 8 feet, what is the approximate area of the rug?
200.96 square feet
50.24 square feet
25.12 square feet
12.56 square feet
Answer:
50.24 square feet
Step-by-step explanation:
Area of a circle = πr2
= π × 4^2
= 50.26 square feet
15 points!
What is the equation of a circle with center (-3,2) and radius 4?
(x - 3)² + (y + 2)² = 16
(x - 3)² + (y + 2)² = 2
(x - 2)² + (y - 3)² = 4
(x + 3)² + (y + 2)² = 2
(x + 3)² + (y - 2)² = 16
(x - 3)² + (y - 2)² = 4
Answer:
(x+3)² + (y-2)² = 16
Step-by-step explanation:
the equation of a circle is
(x-a)² + (y-b)² = r²
with (a,b) being the center, and r the radius.
Which of the following choices will simplify 1 - 5(3 + 2.3)?
44
-60
-36
None of these choices are correct.
Given that 1-5(3+2.3)
follow BODMAS
1-15-11.5
-14-11.5
-25.5
One of the legs of a right triangle measures 15 cm and the other leg measures 10 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
the answerto this is 18.02.
Aimee says Bella is lying. Bella says Marc is lying. Marc says Bella is lying. Terry says Aimee is lying. How
many of the four children are lying?
a) 0 b)1 c)2 d)3 e)4