Which shows the correct substitution of the values a, b, and c from the equation –2 = –x + x2 – 4 into the quadratic formula?
Quadratic formula: x =
Answers
-2 = -x + 2x - 4
+4 +4
2 = x
However, for quadratic equation, there needs to be 3 numbers:
ax^2+bx+c=0
Putting the equation in this form, we can say that
(0)x^2+(1)x+(-2)=0
Taking that and putting it into the quad formula makes:
x=(-1+-sqrt((1)^2-4(0)(-2)))/2(0)
That makes it a divide by 0 problem, making it unsolveable
Answer:
D on edge
Step-by-step explanation:
Related Questions
The sum of two numbers is 26. When the second number is subtracted from the first number, the difference is 10. Find the two numbers.
Answers
What percent of 20 is 40??
Answers
x * 20 = 40
20x = 40
x = 40 / 20
x = 2
2*100 = 200%
Please help !!
Answer correct for a brainliest and also a thanks ! Don't answer if you don't know it .
Answers
The Greens want to put an addition on their house 18 months from now. They will need to save $10,620 in order to achieve this goal. They set aside the same amount each month, and after a year discover they have saved $6,120. The Greens must adjust their plan in order to meet their goal, so they came up with the following optionsa.Only option A will allow them to meet their goal.b.Only option B will allow them to meet their goal.c.Both options A and B will allow them to meet their goal.d.Neither option A nor option B will allow them to meet their goal.
Answers
Faith is 1/5 get morthers age. their combined ages are 30. how old is faith
Answers
Age of this mother = 5x
Then, x+5x = 30
6x = 30
x= 5
So, age of faith is 5 years.
Hope this helps!
Use the diagram below to answer the following questions.
The value of x is
The measure of 1 is
The measure of 2 is
The measure of 3 is
The measure of 4 is
The measure of 5 is
The measure of 6 is
The measure of 7 is
The measure of 8 is
Answers
Answer:
The value of x is 24. The measures of angles 1,2,3,4,5,6,7,8 are 101, 79, 101, 101, 79, 79, 89, 89 respectively.
Step-by-step explanation:
If two line intersect each other, then vertical opposite angles are same.
[tex]3x+19=5x-29[/tex] (Vertical opposite angles)
[tex]19+29=5x-3x[/tex]
[tex]48=2x[/tex]
Divide both sides by 2.
[tex]24=x[/tex]
The value of x is 24.
Measure of angle 2 is
[tex]\angle 2 =3x+7=3(24)+7=79[/tex] (Vertical opposite angles)
The measure of angle 2 is 79°.
Measure of angle 1 is
[tex]\angle 1 =180-\angle 2=180-79=101[/tex] (Angle 1 and 2 are supplementary angles)
The measure of angle 1 is 101°.
Measure of angle 3 is
[tex]\angle 3 =180-\angle 2=180-79=101[/tex] (Angle 3 and 2 are supplementary angles)
The measure of angle 3 is 101°.
Measure of angle 4 is
[tex]\angle 4 =4x+5=4(24)+5=101[/tex] (Vertical opposite angles)
The measure of angle 4 is 101°.
Measure of angle 5 is
[tex]\angle 5 =\angle 2=79[/tex] (Alternate Interior Angles)
The measure of angle 5 is 79°.
Measure of angle 6 is
[tex]\angle 5 =\angle 6=79[/tex] (Vertical opposite angles)
The measure of angle 6 is 79°.
Measure of angle 7 is
[tex]\angle 7 =180-(5x-29)=180-(5(24)-29)=89[/tex] (Supplementary angles)
The measure of angle 7 is 89°.
Measure of angle 8 is
[tex]\angle 8 =\angle 7=89[/tex] (Vertical opposite angles)
The measure of angle 8 is 89°.
Convert pounds to ounces 12.6 pounds
Answers
hope this helps you
so 12.6 lbs = 201.6 oz
so 12.6 multiplied by 16 gives you the answer
1.) If P = 2l + 2w, the formula to find w is _____
A.) w=P-21
B.) w=P/2-21
C.) w=2(P-21)
D.) w=(P-21)/2
2.)If P is 30 units and l is 10 units, w is units_____
A.) 5
B.) 10
C.) 15
Answers
Answer:
d and a
Step-by-step explanation:
I don't really know how to do this and I have to explain to my class how I got my answer. Help me!!!
Answers
how many solutions does the system of equations have 2x = -10y + 6 and x + 5y = 3
Answers
x=-5y+3 is the same as x+5y=3
Aditi has $50.00 in her wallet. She buys a shirt for $12.00 and also wants to buy some bracelets that are on sale for $0.60 each. The inequality below relates x, the number of bracelets she can buy, with her shirt purchase and the money in her wallet.
What is the greatest number of bracelets she could buy?
Answers
Answer:
The answer is 63.
Step-by-step explanation:
50-12=38 38/.6 is equal to 63.333 you can't buy .333 of a bracelet so she will be able to buy 63 and have little money left.
The greatest number of bracelets she could buy will be 63.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given data;
The total amount of money in my wallet = $50.00
Cost of shirt = $12.00
Price of bracelet per piece = $0.60
Let x is the no of the bracelet;
The equation obtained as;
⇒The total amount of money in my wallet = Cost of the shirt + Price of the bracelet per piece × No of the bracelet
⇒50 = 12 + 0.60 x
⇒0.60 x = 50-12
⇒x = 38/0.60
⇒x= 63.333 ≈ 63 bracelet
Hence the greatest number of bracelets she could buy will be 63.
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The equation x2 – 1x – 90 = 0 has solutions {a, b}. What is a + b?
Answers
×=10 x=-9
10 + (-9)
= 1
Answer:
The value of a+b is 1.
Step-by-step explanation:
The given equation is
[tex]x^2-1x-90=0[/tex]
It is given that this equation has two solutions {a,b}.
First of all find the factors of given equation. The middle term can be written as -10x+9x.
[tex]x^2-10x+9x-90=0[/tex]
[tex](x^2-10x)+(9x-90)=0[/tex]
Taking out common from each parenthesis.
[tex]x(x-10)+9(x-10)=0[/tex]
[tex](x-10)(x+9)=0[/tex]
Using zero product property, we get
[tex]x-10=0\Rightarrow x=10[/tex]
[tex]x+9=0\Rightarrow x=-9[/tex]
The value of a is 10 and b is -9. The sum of both the solutions is
[tex]a+b=10-9=1[/tex]
Therefore the value of a+b is 1.
look for the horizontal asymptote of
(sin x)/(1 + cos x).
Answers
The horizontal asymptotes are the values to which the function approaches as x becomes larger and larger (+/- infinity).
Then you have to find the limits of the function for x -> + and - infinity.
If the limit does not exist then there is not horizontal asypmtotes.
Indeed the limit of that function when x goes to +/- infinity does not exist, because the denominator will continue fluctating between 1 and 2, and the numerator will be fluctuating between -1 and 1.
This function fluctuates periodically from negative infinity to positive infinity, it does not have a limit when x grows so it does not have horizontal asymptotes.
what subset of real numbers does 26 belong to
Answers
this set does not include negative numbers or 0
whole numbers are natual numbers but including 0
integers are whole numbers and also negative numbers
rational numbers are numbers that can be written in form a/b where b≠0
irrational numbers can't be written in form a/b, examples are like pi
real numbers are all of the abovee and more
26 belongs to the natural numbers set
What is the solution to the equation? 3q 5 = -2q 20
a. q = 3
b. q = 5
c. q = 15
d. q = 25
Answers
3q+5=-2q+20
5q = 15
q=3
3q-5=-2q-20
5q = -15
q = -3
3q+5=-2q-20
5q = -25
q = -5
3q-5=-2q+20
5q = 25
q = 5
A student is training for the track team during the first three months of the year by running for 30 minutes every day while averaging 5 miles each day. Select the graph that correctly shows the total miles ran during the time of his training program.
Answers
1 hour - 10 miles
10 hours - 100 miles ...
The independent value is plotted along the x- axis ( Hours ) and the dependent variable is plotted along the y-axis ( Miles ). Also:
3 months = 90 days
90 x 1/2 hours = 45 hours
Answer: The graph B ) ( or the second one ).
Answer:
Graph 2 :)
Step-by-step explanation:
Jordan scores 6 points for every touchdown he makes. This season he has scored 18 touchdowns. Write a number sentence using the variable t to represent the number of points Joran scored this season.
Answers
Answer:
18 times 6= t
Step-by-step explanation:
Bill started west on road U.S. 50, riding a bicycle at an average rate of 9 mph. Four hours later Charles started after Bill on a motor cycle and overtook him in 2 hours. What was Charles' rate?
Which equation could be used to solve for Charles' rate if it is represented by x?
A.2x = 36
B.2x = 54
C.6x = 54
Answers
Answer: 2x = 54
I got this question correct on my lesson.
To find Charles' rate, we can set up an equation using the formula Distance = Rate x Time. The correct equation to solve for Charles' rate x is 2x = 36.
Explanation:To solve this problem, we can use the equation Distance = Rate x Time. Let's assume that Charles' rate is represented by x. When Charles overtakes Bill, they have traveled the same distance. Bill has been riding for 4 hours at a rate of 9 mph, so his distance is 9 x 4 = 36 miles. Charles overtakes Bill in 2 hours, so his distance is x x 2. Setting the two distances equal to each other, we have 36 = 2x, which simplifies to 2x = 36. Therefore, the correct equation to solve for Charles' rate x is option A, 2x = 36.
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An experiment consists of rolling two fair(not weighted) dice and adding the dots on the two sides facing up. Each die has the number 1 on two opposite faces, the number 2 on two opposite faces, and the number 3 on two opposite faces.
Compute the probability of obtaining the indicated sums in problem.
Answers
So, the answer would be
12/36=1/3
the rest can also be obtained by counting. the probability you get a sum of 2 is
4/36
So, for a sum of 6 and the probability you get a sum of 3 and the probability you get a sum of 5 is 8/36
Final answer:
The student is performing a probability calculation involving rolling two dice and must enumerate all possible outcomes. The probability of a specific sum is determined by dividing the number of ways to achieve that sum by the total number of possible outcomes, 36 in the case of rolling two dice.
Explanation:
The student's experiment consists of rolling two fair dice and adding the numbers that appear on the faces that land upwards. Each die in this scenario has the numbers 1, 2, and 3 on two opposite faces. When calculating the probability of specific sums resulting from this experiment, we need to consider all the possible outcomes (the sample space) and the number of ways to achieve the sum in question.
To find the probability of any particular sum, one must enumerate each distinct way that sum can occur. There are a total of 36 possible outcomes when rolling two dice (6 outcomes per die × 2 dice). For example, to calculate the probability of getting a sum of 4, we need to consider the possible dice combinations (1+3, 2+2, 3+1) that would result in that sum.
As for the probability of an event, it is the number of favorable outcomes over the total number of possible outcomes. If the event is 'rolling a sum of 4', and there are three combinations out of 36 total that yield that sum, the probability would be 3/36 or 1/12. Remember that we must count each die distinctly; although the numbers are the same (1, 2, 3), a roll of 1 on the first die and 3 on the second die is a different outcome from a roll of 3 on the first die and 1 on the second die.
Using a new lawn mower, Abby can mow the lawn in 2 hours. Her sister Carla used an older lawn mower and takes 3 hours to mow the same lawn. How long will it take them if they work together?
Answers
So it would be:[tex] \frac{x}{3} + \frac{x}{2} = 1 [/tex] Then cross muitply.
2x + 3x = 6
5x=6
x= [tex] \frac{6}{5} hours[/tex]
Donte simplified the expression below.
4(1 + 3i) – (8 – 5i) = –4 + 8i
What mistake did Donte make?
A.He did not apply the distributive property correctly for 4(1 + 3i).
B.He did not distribute the subtraction sign correctly for 8 – 5i.
C.He added the real number and coefficient of i in 4(1 + 3i).
D.He added the two complex numbers instead of subtracted.
Answers
_____________________________________________
Explanation:
______________________
Note the distributive property of multiplication:
_____________________________
a*(b+c) = ab + ac.
____________________________
As such: 4*(1 + 3i) = (4*1) + (4*3i) = 4 + 12i ;
_____________________________________
Instead, Donte somehow incorrectly calculated:
_____________________________________
4*(1 + 3i) = (4*1) + 3i = 4 + 31; (and did the rest of the problem correctly);
Note: - (8 - 5i) = -8 + 5i (done correctly;
___________________________________
So if Donte did not apply the distributive property correctly for 4*(1+3i)—and incorrect got 4 + 3i (as mentioned above); but did the rest of the problem correctly, he would have got:
_____________________________
4+ 3i - 8 + 5i = -4 + 8i (the incorrect answer as stated in our original problem.
__________________
This corresponds to: "Answer choice: [A]: He did not apply the distributive property correctly for 4(1 + 3i)."
___________________________
4(1 + 3i) – (8 – 5i)
4+12i - 8 + 5i
17i-4
so, 4(1 + 3i) – (8 – 5i) should be equal to 17i - 4.
Hope this is the answer that you are looking for. Have a great day!
Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55miles per hour, how many hours will it take him to get 3/4 of the way there?
Answers
Answer:
Using formula:
[tex]\text{Time} = \frac{\text{Distance}}{\text{Speed}}[/tex]
As per the statement:
Ravi is driving 440 miles to visit his grandma. if he drives at an average rate of 55 miles per hour.
⇒Speed = 55 miles/hour and Distance = 440 miles.
We have to find how many hours will it take him to get 3/4 of the way there.
Distance to get 3/4 of the way there= [tex]\frac{3}{4} \cdot 440 = 3 \cdot 110 = 330[/tex] miles.
Substitute the given values we have;
[tex]\text{Time} = \frac{330}{55}[/tex]
Simplify:
Time = 6 hours.
Therefore, 6 hours will it take him to get 3/4 of the way there
Simplify √24
A 3√8
B 2√12
C 2√6
D 4√6
Answers
c)2√6
---------
A 1250-kg slippery hippo slides down a mud-covered hill inclined at an angle of 18º to the
horizontal. If the coefficient of sliding friction between the hippo and the mud is 0.0900, what
force of friction impedes the hippo’s motion down the hill? ...?
Answers
The force of friction can be calculated using the equation F = uN, where F is the magnitude of the force, u is the coefficient of friction, and N is the normal force. For an inclined plane at 18 degrees above the horizontal, the normal force is given by N = mg cos theta. Putting all the equations together,
F = umg cos theta
F = (0.09)(1250)(9.80) cos(18)
F = 1.05 kN
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Factor completely 3x3 + 12x2 + 18x.
x2 + 4x + 6
3(x3 + 4x2 + 6x)
3x(x2 + 4x + 6)
x(3x2 + 12x + 18)
Answers
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].
Here,
We have to find factor of [tex]3x^{3} + 12x^{2} + 18x[/tex].
What is Factor?
A number or algebraic expression that divides another number or expression evenly with no remainder.
Now,
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is,
⇒[tex]3x^{3} + 12x^{2} + 18x = 3x (x^{2} + 4x + 6x)[/tex]
Hence,
Factor of [tex]3x^{3} + 12x^{2} + 18x[/tex] is [tex]3x ( x^{2} +4x + 6 )[/tex].
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You have 10 fish, 5 drown, 3 come
back to life. How many fish do you have? ...?
Answers
The length of the rectangle is 2(x+1) meters and the perimeter is 60 meters. Find the length of the rectangle
Answers
What is the approximate circumference of the circle shown below?
A.102.4 cm
B. 63.4 cm
C. 25.6 cm
D. 51.2 cm
Answers
Answer
Formula
[tex]Circumference\ of\ circle = 2\pi r[/tex]
where r is the radius of a circle.
As shown in the image
Diameter of the circle = 16 .3 cm
[tex]Radius\ of\ the\ circle = \frac{16.3}{2}[/tex]
= 8.15 cm
Put in the formula
[tex]Circumference\ of\ circle = 2\pi\times 8.15[/tex]
As
[tex]\pi = 3.14[/tex]
[tex]Circumference\ of\ circle = 2\times 3.14\times 8.15[/tex]
= 51.2 cm (approx)
Therefore the circumference of a circle is 51.2cm (approx) .
Option (D) is correct .
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}.[/tex] Option (D) is correct.
Further explanation:
The formula for the circumference of the circle can be expressed as follows,
[tex]\boxed{{\text{Circumference of circle}} = 2\pi r}[/tex]
The formula for the area of the circle can be expressed as follows,
[tex]\boxed{{\text{Area of circle}} = \pi {r^2}}[/tex]
Here, “r” represents the radius of the circle.
The relationship between the radius and the diameter can be given by,
[tex]\boxed{r =\dfrac{d}{2}}[/tex]
Here, “d” represents the diameter of the circle.
Given:
The options are as follows.
A.[tex]102.4{\text{ cm}}[/tex]
B.[tex]63.4{\text{ cm}}[/tex]
C.[tex]25.6{\text{ cm}}[/tex]
D.[tex]51.2{\text{ cm}}[/tex]
Explanation:
The diameter of the circle is [tex]16.3{\text{ cm}}.[/tex]
The radius of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Radius}}&= \frac{{16.3}}{2}\\&= 8.15\\\end{aligned}[/tex]
The radius of the circle is [tex]8.15{\text{ cm}}.[/tex]
The circumference of the circle can be obtained as follows,
[tex]\begin{aligned}{\text{Circumference of circle}}&= 2\times\frac{{22}}{7}\times 8.15\\&=\frac{{44}}{7}\times 8.15\\&= 51.2\\\end{aligned}[/tex]
The circumference of the circle [tex]\boxed{51.2{\text{ cm}}}[/tex].Option (D) is correct.
Option (A) is not correct as the circumference of the circleis .
Option (B) is not correct as the circumference of the circle is .
Option (C) is not correct as the circumference of the circle is .
Option (D) is correct as the circumference of the circle is .
Learn more:
1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
2. Learn more about equation of circle brainly.com/question/1506955.
3. Learn more about range and domain of the function https://brainly.com/question/3412497
Answer details:
Grade: High School
Subject: Mathematics
Chapter: Circle
Keywords: Circle, circumference, radius, diameter, area of the circle, angle, sector, arc, approximate.
What is the value of p in the equation x2 = 12y?
Answers
x^2=3.4.y
p=3
What is √6/√5 in simplest radical form?
Answers
5√ cannot be reduced 5 cannot be reduced 5√≈2.23606797749979
Hi i know this is late like by 2 years but for future people the answer is
[tex]\frac{\sqrt{30} }{\sqrt{5} }[/tex]
hope this helps other ppl