Answer:
Quadratic Equation:
[tex]3x^2=2x +5[/tex]
[tex]\text{Standard Form: } 3x^2-2x-5=0[/tex]
From the standard form of a Quadratic Function, we get:
[tex]a=3,\:b=-2,\:c=-5[/tex]
Discriminant:
[tex]\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)[/tex]
[tex]\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5[/tex]
[tex]\Delta=64[/tex]
From the discriminant, we conclude that the equation will have two real solutions.
State that:
[tex]b^2-4ac <0:\text{The equation has no real solutions, the solutions are complex}[/tex]
[tex]b^2-4ac =0:\text{The equation has 1 real solution}[/tex]
[tex]b^2-4ac >0:\text{The equation has 2 real solutions}[/tex]
By the way, solving the equation given:
[tex]$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$[/tex]
[tex]$x=\frac{2\pm\sqrt{64}}{6}$[/tex]
[tex]$x=\frac{2\pm8}{6}$[/tex]
[tex]$x_{1} =\frac{10}{6}=\frac{5}{3} $[/tex]
[tex]$x_{2}=\frac{-6}{6} =-1$[/tex]
what is 6x-6 degrees
The expression '6x - 6 degrees' is a linear algebraic function possibly related to geometry, where degrees might denote the measure of an angle.
Explanation:The expression 6x - 6 degrees represents a linear function where x is typically a variable that stands for an unknown value to be determined, or it can represent an input into the function. The term degrees suggests that it may be related to angles in a geometric context. This expression simplifies to 6 times x minus 6 degrees, where the degrees could represent the measurement of an angle in geometry, or possibly a temperature dependent on the context, which is not provided here. When dealing with geometric problems, one often converts these expressions to a standard measurement, such as converting to radians or using decimal degrees for precision.
A food company packs 64 cans of peaches into a box.
The company has 640 cans to box. If they sell a full box
for $32, how much money will the food company make
on these boxes?
Answer:
$320.00
Step-by-step explanation:
640÷64=10
32×10=$320.00
How do we calculate slope?
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .
Step-by-step explanation:
⋆✨Answered By Cartier✨⋆
✨Brainliest Will Be Appreciated.✨
✨If You Have Questions Ask In The Comment Box.✨
Answer:
To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points . . .
Step-by-step explanation:
Identify the equation of the function. y=sqrt x-1+3
Answer: A
Step-by-step explanation:
Edg
Which of these strategies would eliminate a variable in the system of equations?
( 6x + 5y = 1
16x - 5y = 7
Choose all answers that apply:
Answer:
B) Subtract the bottom equation from the top equation.
C) Add the equations.
Step-by-step explanation:
Let us analyze each of the options to see which one of them work.
A) Multiply the top equation by 7, then subtract the bottom equation from the top equation.
Multiplying the top equation by 7 gives:
7 * (16x + 5y) = (1 * 7)
112x + 35y = 7
Then, subtracting the bottom equation from this:
112x + 35y = 7
- (16x - 5y = 7)
=> 112x + 35y - 16x + 5y = 7 - 7
112x - 16x + 35y + 5y = 0
96x + 40y = 0
This method didn't eliminate any variable, so it didn't work for us.
B) Subtract the bottom equation from the top equation
This will yield:
16x + 5y = 1
- (16x - 5y = 7)
=> 16x + 5y - 16x + 5y = 1 - 7
16x - 16x + 5y + 5y = -6
0x + 10y = -6
10y = -6
y = -6 / 10
Hence, one variable has been eliminated. It works.
C) Add the equations
This yields:
16x + 5y = 1
+ 16x - 5y = 7
32x + 0y = 8
32x = 8
=>x = 8 / 32 = 1 / 4
This method works since one variable has been eliminated.
What are the solutions of 2x2 - 6x + 5 = 0 ?
Final answer:
(Option C: (3 + i)/2 and (3 - i)/2
The solutions to the quadratic equation 2x^2 - 6x + 5 = 0 are 1.5 + 0.5i and 1.5 - 0.5i, as the discriminant is negative and indicates there are no real solutions, only complex ones.
Explanation:
The solutions of the quadratic equation 2x2 - 6x + 5 = 0 can be calculated using the quadratic formula, which is:
x = (-b ± √(b2 - 4ac)) / (2a)
For the given equation, a = 2, b = -6, and c = 5. Plugging these values into the quadratic formula, we get:
x = (6 ± √((-6)2 - 4(2)(5))) / (2(2))
x = (6 ± √(36 - 40)) / 4
x = (6 ± √(-4)) / 4
Since the discriminant (b2 - 4ac) is negative, this equation has no real solutions and two complex solutions. The final solutions are:
x = (6 ± 2i) / 4
x = (3 ± i)/ 2
x = 1.5 ± 0.5i
The solutions are 1.5 + 0.5i and 1.5 - 0.5i.
Evaluate the expression. −3/(−3)^2
Answer:
0.33....(1/3
Step-by-step explanation:
-3/-3*-3
-3/9
-0.33..
A convenience store requires that you spend $4 or more if you want to pay
using a debit card. Donuts cost $0.80 each, and a cup of coffee cost $1.20.
If you will be buying a cup of coffee and donuts and you will be using
your debit card to pay, which inequality represents this situation? What is
the least amount of donuts you would need to buy in order to pay with
your debit card?
Answer:
4 Doughnuts
Step-by-step explanation:
.80+.80+.80+.80+1.20=4.40. You can't buy half a doughnut.
What is the area of a circle that has a circumference of 37.7?
A. 113.1 yd ^2
B. 95.yd ^2
c.315.8 yd ^2
Brainliest to the best explanation.
Answer:
A. 113.1 yd^2
Step-by-step explanation:
2 × 22/7 × radius = 37.7 yd
radius = 37.7 × 7/44
= 5.9977 yd
Area = 22/7 × radius × radius
= 22/7 × 5.9977^2
= 113.056 yd^2
Calculate the value of x.
~ There is a hint but.... I stil don’t understand so can someone just do it for me and explain it? :3
Answer:
x= 103°
Step-by-step explanation:
The angle next to angle x is 77° because it is a corresponding angle to the original 77° angle (corresponding angles is basically a pair that lies in the same position as each other, as is the case with the 77° angle and the angle to the right of x°).
Now that we know that the adjacent angle to x is 77°, you can find x. Note that the line x and 77° are lying on is parallel. This means that they are supplementary angles, which means that the sum of both angles is equal to 180°. Insert this into an equation:
[tex]180=x+77[/tex]
Solve for x. Use inverse operations to subtract 77 from both sides:
[tex]180-77=x+77-77\\\\180-77=x[/tex]
Simplify subtraction:
[tex]103=x[/tex]
x is 103°.
Find the area of the regular polygon with the given radius or apothem. Why is the area?
Answer:56.52
Step-by-step explanation:2x3.14=6.28
6.28x3=18.84
18.84x3=56.52
The area of the given polygon is 11.7 cm².
Given is an equilateral triangle with radius of 3 cm, we need to find the area of the polygon,
The radius of a circumcircle of an equilateral triangle is equal to a/√3, where a is the side length of the equilateral triangle.
So,
a/√3 = 3
a = 3√3
Now the side length is 3√3 cm.
Now, the area of an equilateral triangle is:
A = √3 / 4 × side²
= √3 / 4 × (3√3)²
= √3 / 4 × 27
= 11.7 cm²
Hence the area of the given polygon is 11.7 cm².
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How can you determine the period of a graph
Answer:
You need to find the cycle. It will be easier to show if a graph with it was shown
Step-by-step explanation:
Answer:
You need to find a cycle of the graph. But there is no graph. Download the graph to this page. Have a great day
Step-by-step explanation:
what is the x value of the vertex called
Answer:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.
Step-by-step explanation:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex.
You must simply get an equation in this format to find h and k.
The x value of the vertex in a parabola is found using the formula -b/(2a), which represents the x-coordinate of the vertex, a critical point that determines the parabola's maximum or minimum value.
The x value of the vertex in a parabola is a critical point that determines the maximum or minimum of the quadratic function. In a quadratic equation of the form f(x) = ax^2 + bx + c, the x-coordinate of the vertex can be found using the formula -b/(2a). This formula is derived from completing the square or using calculus to find the critical points of the function. Once you determine the x-coordinate of the vertex, you can substitute it back into the original equation to find the corresponding y-coordinate, giving you the full coordinates of the vertex of the parabola.
Find the volume of the cone.round to the nearest tenth. Height: 10 radius:2
Answer:
41.9 units³
Step-by-step explanation:
(please see attached for reference)
The volume of a cone is given by:
V = (1/3) πr²h where,
V = volume (we are asked to find this)
π = 3.142
r = radius = given as 2
h = height = given as 10
Substituting the known values into the above equation,
V = (1/3) πr²h
= (1/3) (3.142) (2²)(10)
= 41.893
= 41.9 units³ (nearest tenth)
Please answer for a chance to be entered in the iphone 11 pro giveaway!!!
Sponsered by Beyonce Carter !!!!!!!!!!!!!!!!!!!!!
Answer:
5.8<x<6.0 I think
Step-by-step explanation:
why?
Ettiene solved a quadratic equation. His work is shown below.
In which step did Ettiene make an error?
The Step 2 shows the mistake done by Ettiene.
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x, ax²+bx+c=0. with a ≠ 0 .
It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem.
Given:
The given equation is x(x+4)=117.
Step1: x²+4x=117
Now, b/2 =4/2 =2
Then, add 2² to both the sides of an equation, we get
x²+4x+2²=117+2²
x²+4x+4=117+4
(x+2)²=121
x+2=±√121
x+2=±11
x=±11-2
x=11-2=9 and x=-11-2=-13
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What is the ratio of the volume of the cone to the volume of the square pyramid?
Answer:
The ratio of the volume of cone to square pyramid is π or 3.14
Step-by-step explanation:
Given
Shapes: Cone and Square Pyramid
Diameter of the cone, d = 10 inches
Height of the cone, h = 12 inches
Height of the pyramid, h = 12 inches
Base edge of the pyramid, a = 5 inches
Required:
Ratio of the volume of cone to square pyramid.
First, we calculate the volume of each shapes
Volume of a cone is calculated as follows;
Volume = ⅓πr²h
Where r = radius = ½d
Recall that d = 10 inches
So, r = ½ * 10 inches
r = 5 inches.
Hence,
Volume = ⅓ * π * 5² * 12
Volume = ⅓ * π * 25 * 12
Volunteer = π * 25 * 4
Volume = 100π in³
Calculating Volume of the pyramid.
Volume = ⅓a²h
Recall that a = 5 and h = 12
So, Volume = ⅓ * 5² * 12
Volume = ⅓ * 25 * 12
Volume = 25 * 4
Volume = 100 in³
Now that both volumes have been calculated.
The ratio of the volume of cone to square pyramid is calculated by dividing the volume of the cone by the volume of the square pyramid.
Ratio = 100π ÷ 100
Ratio = π
Taking π as 3.14
Ratio = 3.14
Hence, the ratio of the volume of cone to square pyramid is π or 3.14
Which of these is an equation?
A
9x - 7
B
(b + 7) x 3
C
4x + 9 = 45
D
(⅔)x - 3 > c
The equation is 4x + 9 = 45 which is the correct answer would be option (C).
What is the equation?An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, separated by an equal sign (=). The left side and the right side of the equation can contain variables, constants, and mathematical operations.
Option A: 9x - 7 is not an equation because it does not have an equal sign.
Option B: (b + 7) x 3 is not an equation because it does not have an equal sign.
Option C: 4x + 9 = 45 is an equation because it has an equal sign and shows that the left side and the right side are equal.
Option D: (⅔)x - 3 > c is not an equation because it does not have an equal sign. Instead, it is an inequality, which shows that one expression is greater than or less than another expression.
Hence, the correct answer would be an option (C).
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The rule is applied to ΔFGH to produce ΔF"G"H". What are the
coordinates of vertex F" of ΔF"G"H"?
(4, –1.5)
(4, –0.5)
(–1.5, 4)
(–0.5, 4)
Answer:
A - (4, –1.5)
Step-by-step explanation: Hope it helps :D
Answer:
Its A
Step-by-step explanation:
Took the quiz on Edgenunity
Which events are mutually exclusive ? Choose all that apply
The events that are mutually exclusive are Landing on a shaded sector and landing on the number three and Landing on an unshaded sector and landing on a number less than 2.
Mutually exclusive means that a combination of occurrences can never occur.
a) landing on a number greater than three while in a shaded area:
This is possible; for example, you could land in the 4.
b) landing in an even number on a dark sector.
Again, sector 4 is an even number and a shaded sector, thus these events do not conflict.
c) uncolored and odd number
This event is not mutually exclusive because you can land in the 3, which is unshaded and an odd number.
d) Landing on a shaded sector and landing on the number three
Because 3 is an unshaded sector, you can never land in 3 and a shaded sector at the same time; the two are mutually exclusive.
e) Landing on an unshaded sector with a number less than two.
Because 1 is the only integer smaller than 2, and sector 1 is darkened, these events are mutually exclusive.
Bob's Bakery makes 12 cakes and 36 muffins each hour.
Part A: Create a table to show how many caked and muffins in ll the bakery has made after each hour. Use the rules "add 12" and " add 36"
Part B: Michael says. "The total number of muffins made is ALWAYS 24 more than the total number of cakes made. " Do you agree?
Part C: Michael wants to graph this information. What ordered pair represents the total number of each item make after 6 hours.
Please answer Part A, B and C. Thank you
What is the next fraction in this sequence? Simplify your answer.
Answer:
6/32 or 3/16 will be the next fraction in the sequence
What is the length of the hypotenuse of the triangle below
Answer:
E (10)
Step-by-step explanation:
In a right triangle with the legs that have a factor of √2, and the factor is the same, then the hypotenuse of the same triangle is the side length * √2:
so 5√2 * √2 = 10
ANSWER: 10 or E
In art class, the students were asked to draw a circle inside the square shown in the figure such that each of the sides of the
square is tangent to the circle at its midpoint. A student determined the center of the circle to be C(-2,0) and the radius to be
= 4. Evaluate the student's answer.
A. The student completed the assignment correctly.
B. The student did not complete the assignment correctly. The center is the origin.
C. The student did not complete the assignment correctly. The radius is n = 5.
D. The student did not complete the assignment correctly. The center is located at CC-2,4).
Answer:
a is the correct answer
DAY 27, MAY 7, 2020
If 5x + 6 = 10, what is the value of 10x + 3 ?
А) 4
В) 9
C) 11
D) 20
ОА
Ов
Answer:
The answer is C.
Step-by-step explanation:
In order to find the value of expression, you first have to solve x by substracting 6 to both sides then divide it by 5 :
[tex]5x + 6 = 10[/tex]
[tex]5x + 6 - 6 = 10 - 6[/tex]
[tex]5x = 4[/tex]
[tex]5x \div 5 = 4 \div 5[/tex]
[tex]x = \frac{4}{5} [/tex]
Next, you have to substitute the value of x into the expression :
[tex]let \: x = \frac{4}{5} [/tex]
[tex]10x + 3[/tex]
[tex] = 10( \frac{4}{5} ) + 3[/tex]
[tex] = 8 + 3[/tex]
[tex] = 11[/tex]
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I did it five times.
4x - 7 = 9
The answers are
X=2
X=4
X=16
No solution
Answer:
x=4
Step-by-step explanation:Trust me
4x-7=9
4x-7+7=9+7
4x=16
4x/4 = 16/4
X=4
Answer: x = 4
Step-by-step explanation: To solve for x, we must first isolate the term containing x which in this problem is 4x.
To isolate 4x, we have to get rid of the -7 by adding
7 to both sides of the equation.
That leaves us with 4x = 16.
Now divide both sides by 4 to find that x = 4.
30 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
What is the volume of a rectangular prism with the following dimensions?
h = 2 ft, w = 5 ft, I = 7 ft
ANWSERS
o 28 ft3
o 70 ft3
o 90 ft3
o 118 ft3
plssssss help
Answer:
2 x 5 x 7= 70. Answer is B. o 70ft3. Have a great day
Step-by-step explanation:
Answer:
70 ft3
Step-by-step explanation:
In a bag there are three red, four white, and five blue marbles. Once a marble is selected, it is not replaced. Find the probability of getting a white and a red marble
Answer:
1/119
Step-by-step explanation:
(3×4×5)+[(3×4×5)-1)
60+(60-1)
60+59
119
1/119
What should be true about the divisor (the number you are dividing by) in order for synthetic division to be
pretty straightforward?
Answer:
In order for synthetic division to be pretty straightforward, the divisor must be of the first degree (that is, the power of x must be exactly one.) and must have the binomial form x - a.
Unlike Long Division which makes use of the polynomials given directly, Synthetic Division makes use of the coefficients of this polynomials.