Answers
Given:
The quadratic equation is :
[tex]16x^2-20x-6=0[/tex]
To find:
The quadratic formula for the given equation after substituting the values.
Solution:
If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is:
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
We have,
[tex]16x^2-20x-6=0[/tex]
In this equation, [tex]a=16,b=-20,c=-6[/tex].
Substituting [tex]a=16,b=-20,c=-6[/tex] in the above formula, we get
[tex]x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}[/tex]
Therefore, the required quadratic formula for the given equation after substituting the values is [tex]x=\dfrac{-(-20)\pm \sqrt{(-20)^2-4(16)(-6)}}{2(16)}[/tex].
Related Questions
Given
\qquad m \angle ABD = 70^\circm∠ABD=70
∘
m, angle, A, B, D, equals, 70, degrees
\qquad m \angle CBD = 5x + 13^\circm∠CBD=5x+13
∘
m, angle, C, B, D, equals, 5, x, plus, 13, degrees
\qquad m \angle ABC = 3x + 33^\circm∠ABC=3x+33
∘
m, angle, A, B, C, equals, 3, x, plus, 33, degrees
Find m\angle ABCm∠ABCm, angle, A, B, C:
Answers
Answer:
42
Step-by-step explanation:
khanacademy
The measure of angle ABC by the given data is 57 degrees.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
∠ABD=70∘
Now,
To find the measure of angle ABC, we need to use the fact that the sum of the angles in a triangle is 180 degrees. We can write an equation using this fact and the given information:
m∠ABD + m∠CBD + m∠ABC = 180 70 + (5x + 13) + (3x + 33) = 180
To solve for x, we need to simplify and isolate it by performing the inverse operations on both sides. We can do this by following these steps:
Step 1: Combine like terms on both sides of the equation.
70 + 5x + 13 + 3x + 33 = 180 8x + 116 = 180
Step 2: Subtract 116 from both sides of the equation.
8x + 116 - 116 = 180 - 116 8x = 64
Step 3: Divide both sides by 8 to get x by itself.
8x / 8 = 64 / 8 x = 8
Now that we have the value of x, we can plug it into the expression for m∠ABC and simplify:
m∠ABC = 3x + 33 m∠ABC
= 3(8) + 33 m∠ABC
= 24 + 33 m∠ABC = 57
Therefore, by algebra the answer will be 57 degrees.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ3
Evaluate each expression: 2^5
Answers
Answer:
2^5 = 32
Step-by-step explanation:
2^5 is the same as 2⋅2⋅2⋅2⋅2, which equals to 32.
Answer:
32
Step-by-step explanation:
2^5 = 32
A triangle has one angle of 120 degrees what must be true about the other two angles A- the sum of the two angles must be equal to 120 degrees. B- the two angles must be the same measure C- the sum of two angles must be 60 degrees
Answers
Answer:
C
Step-by-step explanation:
A triangles sum of all the angles will be 180, so since we already have one as 120, then that least 60. So the sum of the two extra angles has to be 60.
I feel like everyone on this app has just given up, because no one has been helping me with any of my math stuff. And it's just like a ghost town here
Answers
Answer:
i see how you feel but ._. i just aint good at math shawty
Step-by-step explanation:
What is the volume of the rectangular prism?
Answers
Rectangular prism is also called cuboid.
Given :Length = 3 feetBreadth = 6 feetHeight = 2 feetTo calculate :Volume of the rectangular prism.Calculations :Formula :
[tex]\bigstar \: \boxed{\sf {Volume_{(Cuboid)} = \ell \times b \times h}} \\ [/tex]
[tex] \longmapsto [/tex] Volume = (3 × 6 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = (18 × 2) feet[tex]\sf ^3 [/tex]
[tex] \longmapsto [/tex] Volume = 36 feet[tex]\sf ^3 [/tex]
Therefore,
Volume of the rectangular prism is 36 feet[tex]\sf ^3 [/tex].Nick makes $50 in 4 hours How much money will he make in 1 hour?
Answers
Answer:
$12,5
Step-by-step explanation:
50/4=12,5$
brainliest pls
Answer:
$12.5
Step-by-step explanation:
let x be the money he make in 1 hour
50 : 4 = x : 1
4x = 50
x = 12.5
7th grade math help me pleaseeee
Answers
Answer:
i think it is 32
Step-by-step explanation:
because 44 - 12 = 32 and if you do 32 + 12 you get 32 soo ya hope that helps
Answer:
so she needs 32
Step-by-step explanation:
X=how much more money Ginny needs to buy the sneakers
So you do:
Subtract 12 on both sides of the equation
X+12=44
-12 -12
X= 32
have a good day/night
may i please have a branlliest
8. The soccer ball has a diameter of 9 inches. Find its volume.
Answers
Answer:
You do need to be more specific, the volume of a sphere is V = 4/3 π r^3, it does not need to be related to a cylinder. So if you know the radius, you can calculate the volume. The volume of a cylinder with the same radius and with a height of 2r (since it would be the diameter across) would be V = π r^2 h = 2π r^3.
Step-by-step explanation:
help plz i’ll give brainliest
Answers
16. A radioactive isotope has a half-life of 13 hours. Find the amount of the isotope left from a 400-milligram
sample after 65 hours. If necessary, round your answer to the nearest thousandth.
a. 25 mg
c. 0.049 mg
b. 7.692 mg
d. 12.5 mg
Please help. I only see answers for 52 hours
Answers
Answer:
Without the math: 65 hours is 5 half-lives
13 hrs = 1/2
26 hrs = 1/4
39 hrs = 1/8
65 hrs = 1/32
(1/2)^5 = 1/32
400 mg / 32 = 12.5 mg that is, after 5 half-lives
(Help me please!) What are the 2 closest integers to 0.001 (if you say 0.000 and 0.002, just telling you its wrong I tried, anyways, PLS HELP!)
Answers
Answer:
1 and 0
Step-by-step explanation:
Zero is an integer
Which reflection will produce an image of ARST with a
vertex at (2, -3)?
O a reflection of ARST across the x-axis
O a reflection of ARST across the y-axis
O a reflection of ARST across the line y = x
O a reflection of ARST across the line y=-x
Answers
Answer: D- a reflection of ^RST across the line y=-x
Step-by-step explanation:
The solution is, O a reflection of RST across the line y=-x, is the reflection which will produce an image of RST with a vertex at (2, -3).
What is reflection?Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point.
here, we have,
from the given figure,
we get,
Triangle RST has,
vertex R ( -1,3)
vertex S ( 3, -2)
vertex t (1, -4)
now we know that,
the rule of a reflection across the line y=-x,
(x, y) ⇒ (-x, -y)
so, we get, here,
vertex S ( 3, -2) ⇒ vertex at (2, -3)
so, there is O a reflection of RST across the line y=-x.
To learn more on reflection click:
https://brainly.com/question/29003769
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Ian is borrowing $1000 from his parents to buy a notebook computer. He plans to pay them back at the rate of $60
per month. Ken is borrowing $600 from his parents to purchase a snowboard. He plans to pay his parents back at
the rate of $20 per month. a) Write an equation that can be used to determine after how many months the boys will owe the same amount.
b) Determine algebraically and state in how many months the two boys will owe the same amount. State the
amount they will owe at this time.
c) Ian claims that he will have his loan paid off 6 months after he and Ken owe the same amount. Determine and
state if Ian is correct. Explain your reasoning.
Answers
A = 10 months
B = First part, the two equations:
Ian: y = 1000 - 60x, where x is the number of months and y is the remaining balance owed.
Ken: y = 600 - 20x.
They will be equal at 1000 - 60x = 600 - 20x
Second part: Solve the equation. Note, if you're equation is incorrect, solve it anyway because you will still get some credit!
1000 - 60x = 600 - 20x
1000 = 600 + 40x
400 = 40x
x = 10 months
y = 600 - 20(10) = 600 - 200 = $400 still owed.
C =
Solve Ian's equation for y = 0, when no money is owed.
1000 - 60x = 0
1000 = 60x
x = 16.66666.... or 17 months.
Ian will not be paid off 6 months after he and Ken owe the same amount. He will still owe money.
Alternatively, six months after 10 is 16 months,
and y = 1000 - 60(16) = 1000 - 960 = 40. He will still owe $40 at 16 months, so he is not paid off.
Algebra 1 - One question, I'm not sure how to solve and it's worth 4 marks. That means there are 4 things I must include in my answer, but I don't know what they are.
The price of a public metro ride rose from $2 to $2.50. If you graphed thefunction f(x) = the cost of x metro rides, how would the graph changeafter the fare rose?
Answers
please help i don’t get it :(
Answers
10 x 10 = 100
the area is 100 m^2
James is saving up to buy himself a new drum set that costs $1300. He has already saved $500 and his parents have agreed to pay for half of the total cost. He wants to save the rest of the money he needs over six months. If he saves the same amount each month, how much does he have to save each month? Round your answer to the nearest penny
Answers
Answer:
25$ Each month
Step-by-step explanation:
Half of 1300$ is 650$ so add the 500$ and then subtract is from 1300$ you get 150$ needed, so across 6 months he needs to raise 25$
There are 15 pieces of fruit in a bowl and 40% of them are apples.
How many of the pieces of fruit in the bowl are apples?
Answers
Answer:
six out of the fifteen are apples
what is forty five plus ninety
Answers
Answer:
=135
Step-by-step explanation:
45+90
=45+90
=135
On Saturday 4 groups of people went to the restaurant at the ski resort. Each group had 5 people in it. Everyone ordered a cup of hot chocolate. Rebecca,Malaki,and Jeffery each ordered an extra cups of hot chocolate.how many many cups of chocolate did the people drink that day?
Answers
Answer:
23
Step-by-step explanation:
total number of people at the restaurant = number of groups x total number of people in the groups
4 x 5 = 20
20 people ordered hot chocolate
3 people ordered an extra cup of hot chocolate.
The total number of hot chocolate ordered = 20 + 3 = 23
CW: If the 5th term and the 10th term of an arithmetic
sequence is 44 and 89 respectively, what is the value of the
21st term? (show your work for a full mark)
Answers
Answer:
a₂₁ = 188Step-by-step explanation:
The n-th term of an arithmetic sequence: [tex]a_n=a_1+d(n-1)[/tex]
so:
[tex]a_5=a_1+d(5-1)\\a_5=a_1+4d\\a_1=a_5-4d\\a_1=44-4d\\\\a_{10}=a_1+d(10-1)\\ a_{10}=a_1+9d\\89=44-4d+9d\\45=5d\\d=9\\\\a_1=44-4\cdot9 = 8\\\\a_{21}=a_1+ 20d=8+20\cdot9=188[/tex]
Round to the nearest tenth. Use 3.14 or 22/7 for π.
Answers
Note: Consider we need to find the circumference and area of the given circle.
Given:
A circle with radius 7.1 m.
To find:
The circumference and area of the given circle.
Solution:
Circumference of a circle is:
[tex]C=2\pi r[/tex]
Putting [tex]r=7.1,\pi=3.14[/tex], we get
[tex]C=2(3.14)(7.1)[/tex]
[tex]C=44.588[/tex]
[tex]C\approx 44.6[/tex]
Therefore, the circumference of the circle is 44.6 m.
The area of the circle is:
[tex]A=\pi r^2[/tex]
Putting [tex]r=7.1,\pi=3.14[/tex], we get
[tex]A=3.14(7.1)^2[/tex]
[tex]A=158.2874[/tex]
[tex]A\approx 158.3[/tex]
Therefore, the area of the circle is 158.3 sq. m.
Math question plz help
Answers
y=5x-3 I think so.....
HELPPP MEE PEOPLE PLSSS NO BOTS OR I WILL REPORT BUT PLEASEEE HELPPP MEEE Find the point-slope equation of the line using the point (7,4) and slope of 3/2
Use the slash key ( / ) to indicate a fraction.
Answers
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:
y = 3/2* x + b, provided b ⇒ y - intercept,
( 4 ) = 3/2 * ( 7 ) + b,
4 = 21/2 + b,
b = 4 - 10.5,
b = -6.5
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
Answer:
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
If this line is given to have a slope of 3/2, let us at least put it in standard form, substituting the point ( 7, 4 ) into the equation afterwards:
y = 3/2* x + b, provided b ⇒ y - intercept,
( 4 ) = 3/2 * ( 7 ) + b,
4 = 21/2 + b,
b = 4 - 10.5,
b = -6.5
Equation: y = 3/2x - 6 1/2, or y = 1.5 - 6.5
Step-by-step explanation:
What is the slope of the graph of y= 12x-19?
Answers
Answer:
12
Step-by-step explanation:
Hi,
in the equation y = mx + b...
M is your slope.
So, 12 is your slope.
I hope this helps :)
Answer:
12/1
Step-by-step explanation:
because te equation is in y=mx+b form in which m is the slope
Count the possible combinations of 2 letters chosen from L, M, N, O. The possible combinations of 2 letters are __.
Answers
Answer:
The possible combinations of two letters is 12
Step-by-step explanation:
Here, we want to count the possible combinations of two letters
Now, for the first letter any point in time, we have 4 letters to pick from,
For the second letter we have 3 letters to pick from
So therefore, we have the possible combinations as;
4 * 3 = 12
Answer:
6
Step-by-step explanation:
The method you were doing was for permutation (nPr) and the question needs you to do the method for combinations (nCr).
PLEASE HELP!!!!!!!!!!!!!
convert the equations from standard form to slope intercept form
Answers
Answer:
5.y=2x+7
6.y=-5/3x+4
Step-by-step explanation:
John es mariscal de campo. Este año completo 350 pases, que representan 70% de todos los pases que lanzó este mismo año
Answers
Answer:
245
Step-by-step explanation:
70% =.07
350 × .07 =245
I need help PLEASE!!!
Answers
Answer:
i hate desmos
Step-by-step explanation:
Please please please please please please please please help with my daily thing
Answers
Answer:
A
Step-by-step explanation:
A is the vertex angle, AB=5x-14 and AC=3x+5. Find the length of one of the legs.
Answers
Answer:
85
Step-by-step explanation: