Answers
The table of solutions for this quadratic equation (y = -2x²) include the following:
x y_
-2 -8
-1 -2
0 -0
1 -2
2 -8
Also, a graph of the solution of this quadratic equation is shown in the image attached below.
How to determine the solution and plot the graph?In Mathematics, the valid and true solutions to the given quadratic equation (y = -2x²) are referred to as ordered pairs and they can be determined by substituting the x-values contained in the table into the quadratic equation as follows;
When x = -2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-2)²
y = -2 × 4
y = -8
When x = -1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(-1)²
y = -2 × 1
y = -2
When x = 0, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(0)²
y = -2 × 0
y = 0
When x = 1, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(1)²
y = -2 × 1
y = -2
When x = 2, the y-value for this quadratic equation is given by:
y = -2x²
y = -2(2)²
y = -2 × 4
y = -8
In conclusion, you would notice that a graph of this quadratic equation is parabolic (u-shaped) in nature with a slope of -2.
Read more on graphs here: brainly.com/question/4546414
#SPJ1
Related Questions
A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = y minus 11 equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus 7 right-parenthesis.(x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.
y = y equals StartFraction negative 4 Over 3 EndFraction left-parenthesis x plus StartFraction 5 Over 3 EndFraction.x +
3y = –4x + 40
4x + y = 21
4x + 3y = 5
–4x + 3y = 17
Answers
The equivalent linear equation in standard form is 4x + 3y = 5
How to determine the equivalent equations?From the question, we have the following parameters that can be used in our computation:
Points = (-7, 11) and (8, –9)
Point-slope form is y - 11 = -4/3(x + 7).
Recall that the point-slope form is y - 11 = -4/3(x + 7).
So, we have
y - 11 = -4/3(x + 7).
Multiply through both sides by 3
This gives
3y - 33 = -4(x + 7).
Open the brackets
3y - 33 = -4x - 28
Evaluate the like terms
3y = -4x + 5
Add 4x to both sides
4x + 3y = 5
Hence, the equation is 4x + 3y = 5
Read more about linear equations at
https://brainly.com/question/2030026
#SPJ1
3
6
Find the value of x.
x
x = [?]
Answers
For the given triangle, the value of x would be 12.
What is the geometric mean theorem of a triangle?
According to the geometric mean theorem, the length of an altitude drawn from a triangle's right angle to its hypotenuse is equal to the geometric mean of the lengths of the segments formed on the hypotenuse.
For the given triangle, we can apply the geometric mean theorem,
By the geometric mean theorem, we can write
6² = 3 * x
36 = 3 * x
⇒ x = 36/3
⇒ x = 12.
Hence, for the given triangle, the value of x would be 12.
To learn more about the geometric mean theorem of a triangle, visit:
https://brainly.com/question/26257841
#SPJ1
Which table represents an exponential function of the form y = b when 0
Answers
Second table represents an exponential function of the form y = b when 0
Define exponential function.A mathematical function with the formula f (x) = an x is an exponential function. where an is a constant known as the function's base and x is a variable. The transcendental number e, or roughly 2.71828, is the exponential-function base that is most frequently encountered. In addition to many other applications, exponential functions are used to estimate populations, carbon date artefacts, assist coroners in determining the time of death, compute investments, and many more. Three of the most popular applications—population expansion, exponential decay, and compound interest—will be covered in this session.
Given,
Second table represents an exponential function of the form y = b when 0
Function: y = bˣ
To learn more about exponential function, visit:
https://brainly.com/question/26540624
#SPJ1
If there are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
Answers
The ratio Illustrated shows that the number of vanilla marshmallow is 121.
What is a ratio?A ratio shows how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. It should be noted tjat.A/B will be the formula if one is comparing one data point (A) to another data point (B).
Let the vanilla marshmallow be represented be x.
Since the ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11, the vanilla will be:
= 11 / (5 + 11) × 176
= 11/16 × 176
= 11 × 11
= 121
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
Complete question
The ratio for chocolate marshmallows to vanilla mmarshmallows is 5:11. There are 176 chocolate marshmallows in the bag, how many marshmallows are vanilla?
9 + x/10 = 10
Solve for x
Answers
Answer:i had forgot
Step-by-step explanation:
Answer:4
Step-by-step explanation:
u add den subtract den divide then there
simplify the following
2²y + 3x² + 4y + 3x²y + 2y
Answers
Answer:
10y+3x^2+3x^2y
Step-by-step explanation:
^2 means square
2^2 is 4 and different variable cannot be added.
How do i solve this equation? 4x - 2y > 12
Answers
As per the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
As given in the question,
Given equation in inequality form is :
4x - 2y > 12
Simplify the given equation in intercept form we get,
2y < 4x -12
⇒ y < 2x -6
If we write this inequality in equation form we have,
y = 2x -6
slope of the line is 2
x -intercept is x = 3
y - intercept is y = -6
And in inequality form x > 3 and y < -6.
Therefore, for the given equation in form of inequality 4x - 2y > 12 gives the solution in intercept form as y < 2x -6, and for the given inequality x-intercept is x > 3 and y-intercept is y <-6 with slope equal to 2.
Learn more about equation here
brainly.com/question/10413253
#SPJ1
You and your friend went out to lunch and your total bill (before
taxes) was $36.50. You enjoyed your
service and want to leave a tip of $20%. What is your tip amount?
$7.30
$0.73
$20.00
$36.70
Answers
Answer: Your answer is $7.30
Step-by-step explanation:
Finding the amount for a tip is simple!
all that's required is multiplying the bill (36.50) by the amount you want to tip (.20, because 20% is equal to .20)
36.50×.2= $7.30
x + 3y = -18 in slope intercept form
Answers
Answer:
y=1/3x+6
Step-by-step explanation:
Use the formula "Y=mx+b"
Answer:
y= -1/3x - 6
Step-by-step explanation:
x+3y = -18
3y = -x -18
y= -1/3x - 6
Solve 15+ax/5= 10 for x.assume that a=0
Answers
The solution for x in the expression given as 15 + ax/5 = 10 is x = -25/a
How to determine the solution to the variable x in the expression?From the question, the algebraic expression is given as
15 + ax/5 = 10
There is a constant to add to or subtract from the expression
So, the we subtract 15 from both sides
- 15 + 15 + ax/5 = 10 - 15
Evaluate
ax/5 = -5
Multiply both sides of the equation by 5
This gives
5 * ax/5 = -5 * 5
Evaluate the products
So, we have the following equation
ax = -25
Multiply both sides of the equation by 1/a
This gives
1/a * ax = -25 * 1/a
Evaluate the products in the above expression
x = -25/a
Hence, the solution is x = -25/a
Read more about equations at
brainly.com/question/2476251
#SPJ1
A triangle is shown with its exterior angles. The interior angles of the triangle are angles 2, 3, 5. The exterior angle at angle 2 is angle 1. The exterior angle at angle 3 is angle 4. The exterior angle at angle 5 is angle 6. Which statements are always true regarding the diagram? Select three options. m∠5 + m∠3 = m∠4 m∠3 + m∠4 + m∠5 = 180° m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°
Answers
Considering the triangle with exterior angles and interior angles as described. The statements that are true include
m∠5 + m∠6 =180° m∠2 + m∠3 = m∠6 m∠2 + m∠3 + m∠5 = 180°How to determine the statements that are correctThe problem is solved considering this 3 theorems about triangles
exterior angle of a triangle theoremlinear pair theoremsum of angles in a triangleexterior angles theorem: m∠2 + m∠3 = m∠6
If a triangle side is created, the outside angle that results is equal to the sum of the two opposite internal angles.
Linear pair theorem: m∠5 + m∠6 =180°
Linear pairs are particular instances of supplementary angles that only involve two neighboring angles.
Sum of angles in a triangle is equal to 180 degrees:
m∠2 + m∠3 + m∠5 = 180°
Learn more on proof Linear pairs here:
https://brainly.com/question/29247347
#SPJ1
7. Eugene earns $2,700 monthly. He is going to be receiving a 3.5% raise. With this new raise, he
Inelieves he will earn more than $2,800 a month. Is Eugene correct in his thinking? Why or why
rot? Justify your reasoning.
Answers
Answer: No
Step-by-step explanation: to find out how much more money Eugene will be making we need to isolate the increased value provided by the raise and then add it to his already existing earnings. We do this by multiplying $2700 by 3.5%.
We would write this as 2700 x .035
This is because 100% can be converted to 1, for example if Eugene got a 100% raise we would multiply 2700 by 1 (which changes nothing) then add 2700 and 2700 together.
Since Eugene is only getting a 3.5% raise we would write it as .035 instead of 1
Now that we have our equation we first need to simplify. In this case it means we remove the two zero's from 2700 to make it 27. To make sure the answer does not get messed up will make the other side of the equation larger by moving everything two decimal points (one for each removed zero) like this.
27 x 3.5
This is much easier to work with but I will still show the steps I am using to prevent confusion.
27 x .5 = 13.5
27 x 3 = 20 x 3 + 7 x 3
20 x 3 = 60
7 x 3 =21
60+21 =81
81+13.5=94.5
Since 2700 + 94.5 = 2794.5 Eugene will not make more than $2800 dollars a month after his raise.
Multiply and simplify: 3i(4 - 3i) - i (2 + i)
Answers
10 + 10i
Apply Multiplicative Distribution Law: 12i - 9 x i^2 - 2i - i^2
Rewrite by definition: i^2 = -1:12i - 9 x (-1) -2i - (-1)
Remove the parentheses: 12i + 9 - 2i + 1
Combine like terms: 10 + 10i
Answer 10 + 10i
Answer:
10 + 10i
Step-by-step explanation:
Given expression:
[tex]3i(4 - 3i) - i (2 + i)[/tex]
Expand:
[tex]\implies 12i-9i^2-2i-i^2[/tex]
[tex]\implies 12i-2i-9i^2-i^2[/tex]
[tex]\implies 10i-10i^2[/tex]
Apply the imaginary number rule i² = -1 :
[tex]\implies 10i-10(-1)[/tex]
Simplify:
[tex]\implies 10i+10[/tex]
Rewrite in standard complex form a + bi:
[tex]\implies 10+10i[/tex]
In AJKL, JL is extended through point L to point M, m/LJK = (x+9)°,
m/JKL = (x - 2)°, and m/KLM = (5x - 11)°. Find m/LJK.
Answers
For the given triangle JKL, the value of x is 10. An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint.
What is meant by angle?When two straight lines or rays intersect at a common endpoint, an angle is formed. An angle's vertex is the common point of contact. Angle is derived from the Latin word angelus, which means "corner." An angle is a figure in Plane Geometry formed by two rays or lines that share a common endpoint. "Angle" comes from the Latin word "angelus," which means "corner." The two rays are known as the sides of an angle, and the common endpoint is known as the vertex.When two lines intersect at a common point, an angle is formed. They are expressed in degrees, which are denoted by the symbol °.Given information:
In ∠J K L,JL is extended through point L to point M.
[tex]$&m \angle J K L=(2 x+14)^{\circ} \\[/tex]
[tex]$&m \angle L J K=(3 x+15)^{\circ} \\[/tex]
[tex]$&m \angle K L M=(7 x+9)^{\circ}[/tex]
See the attached figure.
At point L, the measure of angle JLK will be as,
[tex]$&m \angle J L K=180-m \angle K L M=180-7 x-9 \\[/tex]
[tex]$&=(171-7 x)^{\circ}[/tex]
Now, in triangle JKL, use the angle sum property to find the value of x as,
[tex]$$m \angle J K L+m \angle L J K+m \angle J L K=180[/tex]
[tex]$$$(2 x+14)^{\circ}+(3 x+15)^{\circ}+(171-7 x)^{\circ}=180$[/tex]
-2 x+200=180
2 x=20
x=10
Therefore, the value of x for the given triangle JKL is 10.
To learn more about angle, refer to:
https://brainly.com/question/25716982
#SPJ1
How do I find the missing angle of an intersecting line?
Answers
Answer:
Read the given problem, look at the given figure of intersecting lines, and identify the angle given and the unknown angles.
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLY!!!Question 2(Multiple Choice Worth 2 points)
(Factoring Algebraic Expressions LC)
Rewrite 30 - 6x³ using a common factor.
O2(15-3x³)
O 2x(15-3x²)
O6(5-6x³)
O6x(5-x²)
Answers
Answer:
(15-3x³) is the answer.
Step-by-step explanation:
2*15-2*3x³
which is 30-6x³.
PleASE HELP I WILL MARK BRANLY ITS ALGEBRA PROBLEM!!!
Answers
Hi, your answer will be 2.6 tons. Hope it helps.
Answer:
2.6 tons can be lifted by a rope with a diameter of 2 inches.
Step-by-step explanation:
2 = √39 / π
hope this helps you
Identify the domain of the function shown in the graph
Answers
The domain of the graph is (d) all set of real values
How to determine the domain of the relation in the graph?The graph represents the given parameter
This graph represents a function
Say the graph represents the function f(x)
The x values represent the domain
i.e domain = Set of all x values
On the graph, we can see that the graph extends across the x-axis till infinity on both sides
This means that
Domain = All set of real values
Hence, the domain of the relation is (d) all set of real values
Read more about domain at
brainly.com/question/2264373
#SPJ1
Someone help me with this please
Answers
Answer:
C
Step-by-step explanation:
C has a directly proportional relationship. 27 glasses are in 9 cases, and 81 glasses are in 27 cases. Directly proportional since 9×3=27 (cases) and 27×3=81 (glasses)
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
The value of sec θ is ____
, and the value of cot θ is _____
.
Answers
The value of sec θ is -5/3 ,and the value of cot θ is 3/4 in the unit circle.
Given:
The point -3/5 , -4/5 in the third quadrant corresponds to angle θ on the unit circle.
here x = -3/5 and y = -4/5
radius r = [tex]\sqrt{(-3/5)^{2}+(-4/5)^{2} }[/tex]
= [tex]\sqrt{9/25 + 16/25}[/tex]
r = 1.(which is hypotenuse in unit circle).
sec θ = hypotenuse / adjacent
= 1/-3/5
sec θ = -5/3
cot θ = adjacent / opposite
= -3/5 / -4/5
= 3*5/5*4
= 15/20
cot θ= 3/4
Therefore the value of sec θ is -5/3 ,and the value of cot θ is 3/4.
Learn more about the quadrant and unit circle here:
https://brainly.com/question/10434937
#SPJ1
Given
a = -4, b = -4 and c = -5
work out
b² - 2ac
Answers
Answer:
-24
Step-by-step explanation:
b²-2ac
(-4)²-2(-4)(-5)16-40-24⇒Plug in the values given in places and simplify.
[tex]=(-4)^{2} -2(-4)(-5)\\=16-2(20)\\=16-40\\=-24[/tex]
-24 is the answer after substitution of the known values.
List the independent and dependent variables
H(x)=3+0.5x
Answers
x is the independent variable and H(x) is the dependent variable
How to determine independent and dependent variables?
A dependent variable is a variable whose value depends upon independent variables.
An independent variable is a variable that does not depend on any other variable for its value.
For example, in an expression, y = 3x + 2, x is an independent and y is a dependent variable because y depends on x for its value
Given: H(x) = 3+0.5x
Therefore, x is the independent variable and H(x) is the dependent variable because it is a function of x
Learn more about independent and dependent variables on:
https://brainly.com/question/10880604
#SPJ1
Please Help Me!
Find the value of x
Answers
(2x-15)°+ x + (2x-15) + x =360°
x = 65
Answer: 65°
Step-by-step explanation:
You can determine the total degree within a shape by using the formula 180°(n-2), where n is the number of sides of the shape. Thus, the total degree within the parallelogram is 360°.
Angles sum up to the total degree, meaning we need to add up all the angles we see and set them equal to the total degree. We have two (2x-15) and two x's.
2(2x-15) + 2x = 360
Distribute the 2 to (2x-15), you will get 4x - 30.
4x - 30 + 2x = 360
Add like terms, 4x + 2x to get 6x.
6x - 30 = 360
Add both sides by 30 to isolate the 6x, because we are trying to determine the value of x, we need to isolate the term.
6x = 390
Divide both sides by 6, and you are left with the value of x being 65°
Find value of x. Show steps.
Answers
Angles 65 and 11x - 17 are a linear pair, so they add up to 180º.
180-65= 115
115 = 11x - 17
+17
132 = 11x
/11
x = 12
Answer = x=12
$.
(b) (i) Annie invests $330 at a rate of 1.5% per year compound interest.
Calculate the amount that Annie has after 8 years.
Give your answer correct to the nearest dollar.
Answers
Answer: $372
Step-by-step explanation:
330 + (1.5% of 330) = 334.95
334.95 + (1.5% of 334.95) = 339.97425
339.97425 + (1.5% of 339.97425) = 345.073864
345.073864 + (1.5% of 345.073864) = 350.249972
350.249972 + (1.5% of 350.249972) = 355.503772
355.503772 + (1.5% of 355.503772) = 360.836392
360.836392 + (1.5% of 360.836392) = 366.248398
366.248398 + (1.5% of 366.248398) = 371.742124
Please thank and rate :)
Find the LCM of
2 x 3 x 3 x 5 and 3 x 3 x 5 x 5
Answers
Answer:
LCM of 90 and 225 = 450
I'm not too sure I understand
2 x 3 x 3 x 5 = 90, and 3 x 3 x 5 x 5 = 225
90: 90, 180, 270, 360, 450
225: 225, 450
LCM = 450
Need help
Solve 4(x-5) = 18
Answers
Answer:
x = 19/2 or 9.5
Step-by-step explanation:
a) Distribute.
(4)(x) + (4)(−5) = 18
4x + −20 = 18
4x − 20 = 18
b) Add 20 to both sides.
4x − 20 + 20 = 18 + 20
4x = 38
c) Divide both sides by 4.
4x/4 = 38/4
x = 19/2 or 9.5
Answer:
9.5 or 19/2
Step-by-step explanation:
4 ( x - 5 ) = 18
Step 1 : Divide 4 on both sides.
x - 5 = 18/4
x - 5 = 4.5
Step 2 : Add 5 on both sides.
x = 4.5 + 5
x = 9.5
Value of x in fraction = 95/10 = 19/2
Value of x in decimal = 9.5
What two numbers = -48 (multiply) and does the two numbers = -13
Answers
Answer:
The two numbers are [tex]3[/tex] and [tex]-16[/tex].
Step-by-step explanation:
Two numbers that, when multiplied, result in a product of [tex]-48[/tex]:
[tex]x \cdot y = -48[/tex]
Same two numbers when added get a sum of [tex]-13[/tex]:
[tex]x + y = -13[/tex]
Solve for x in the summation identity:
[tex]y = -13 - x[/tex]
Plug the value back into the product identity and solve for [tex]x[/tex]:
[tex]x \cdot (-13-x) = -48\\-13x - x^2 = - 48\\x^2 + 13x = 48\\x^2 + 13x - 48 = 0\\(x-3)(x+16) = 0[/tex]
The roots we found for [tex]x[/tex] were:
[tex]x = 3\\x = -16[/tex]
Our two numbers are [tex]3[/tex] and [tex]-16[/tex]. We can test this:
[tex]3 + (-16) = -13\\3 * -16 = -48[/tex]
cómo se saca el porcentaje
Answers
Answer:
Step-by-step explanation:
Para determinar el porcentaje, tenemos que dividir el valor por el valor total y luego multiplicar el resultado por 100.
which proportion is equivalent to the original equation
Answers
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.
As given in the question,
Given equation is :
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x
Simplify the original equation to get the equivalent equation
Least common multiple is 2 and 2x is equal to 2x
Original equation (1/2) + (1/2x) = (x² -7x +10)/4x is Equivalent to the proportion is given by:
( x + 1) / 2x = (x² -7x +10)/4x
Therefore, original equation (1/2) + (1/2x) = (x² -7x +10)/4x is equivalent to the proportion (x+1)/2x = (x² -7x +10)/4x.
Learn more about equivalent here
brainly.com/question/14672772
#SPJ1
