Answer:
x= -b ±√b²- 4ac/2a
Step-by-step explanation:
ax2 + bx + c = 0
Dividing the quadratic equation by a gives
x2 + b/ax + c/a = 0
x2 + b/ax = - c/a
Applying the square formula
(x)^2 + 2(x) (b/2a) + (b/2a)^2= + (b/2a)^2- c/a
(x+b/2a)^2= b²/4a² - c/a
(x+b/2a)^2= b²/4a² - 4ac/4a²
(x+b/2a)^2= b²- 4ac/4a²
Taking square root of both sides gives
(x+b/2a)= ±√b²- 4ac/2a
x= -b/2a±√b²- 4ac/2a
x= -b ±√b²- 4ac/2a
This is called the quadratic formula and it can solve the value for x for the given value of a, b and c for the quadratic equation.
From this it is concluded that
Discriminant = b2 - 4ac > 0 means there will be two distinct real roots. Discriminant = b2 - 4ac = 0 means there will be only one real root. Discriminant = b2 - 4ac < 0 means there will be no real roots.
This is because a square root of a value greater than 0 is possible and gives two values for roots of x.
The square root of a value less than 0 gives a negative number and therefore the roots are an imaginary number.
The square root of a value greater equal to 0 gives a zero leaving behind only one real root.
Which expression has a value of 31?
A) 3125 + 7-5
B) (3:25) +7-5
C) 3125+ (7-5)
D) 3(125 + 7) - 5
Answer:
d. Is the answer from this question
Step-by-step explanation:
3(5+7)-5
3*12-5
36-5
31
The expression 3(√25 + 7) - 5 has a value of 31 after applying arithmetic operation option (D) 3(√25 + 7) - 5 is correct.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
An expression that has a value of 31
The arithmetic operation can be defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
A) 3√25 + 7-5
= 3(5) + 7 - 5
= 15 + 7 - 5
= 17
B) (3√25) +7-5
= (3x5) +7-5
= 15 +7-5
= 17
C) 3√25+ (7-5)
= 3x5 +2
= 17
D) 3(√25 + 7) - 5
= 3(5+7) - 5
= 36 - 5
= 31
Thus, the expression 3(√25 + 7) - 5 has a value of 31 after applying arithmetic operation option (D) 3(√25 + 7) - 5 is correct.
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Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home how far does Jay walk-in all?
Answer:
he walked 7 block's
Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home, 5 blocks does Jay walk-in all
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given,
Jay walks 3 blocks north and then 4 blocks east from his home if he walks straight back home.
We have to use pythagorean theorem in finding distance
As given in the attachment, Let AB= 3
BC=4
AC=x
To find AC we use pythagorean theorem
AC²=AB²+BC²
AC²=3²+4²
AC²=9+16
AC²=25
Take square root on both sides.
AC=5
Hence 5 blocks he walks straight back home how far does Jay walk-in all
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Solve for the indicated variable. I WILL MARK BRAINLIEST
PV = nRT for T
solve for T
T=
Answer:
T= PV/nR
Step-by-step explanation:
To solve for T, you Will have to divide both sides by the coefficient of T that is, nR. That's how I got my answer T = PV/nR
If the sour patch kids cost 3.99$ and Nichole decided to buy 1.5 pounds of sour patch kids how much will it cost?
Answer:
How much does it cost per pound because if it’s just $3.99 per pound then it’ll cost $3.99
Step-by-step explanation:
If f()
2x² + 3x + 1, what is the value of f(-2)?
Answer:
3
Step-by-step explanation:
f(x) = 2x² + 3x + 1
f(-2) = 2(-2)² + 3(-2) + 1
= 8-6+1
= 3
What is the value of 0.15 divided by
0.05?
Hank invested $50,000 in a mutual fund that earns 7% interest compounded annually. How much interest did he earn after 10 years?
F)$35,000
G)$48,357.57
H)85,000
J)98,357.57
Answer:
F $35,000
Step-by-step explanation:
3,500 is 7% of 50,000 3500 multiplied by 10 years= 35,000
9514 1404 393
Answer:
G) $48,357.57
Step-by-step explanation:
The future value formula can be used to find the account value:
FV = P(1 +r)^t
where P is invested at annual rate r for t years.
FV = $50,000(1.07^10) ≈ $98,357.57
The amount of interest earned is the difference between this value and the value of the initial investment:
interest = $98,357.57 -50,000 = $48,357.57
Hank earned $48,357.57 in interest after 10 years.
_____
At 7% interest, the "rule of 72" tells you the doubling time of the account is about 72/7 = 10.3 years. That is the account value will be not quite double the original investment after 10 years. So, the amount of interest earned is only slightly less than $50,000. If the account earned simple interest, the interest earned would be $35,000. Only one answer choice is more than $35,000 and less than $50,000.
the sum of 17 and a number X is equal to 20
The number 41 is decreased to 38. What is the percentage by which the number was
decreased, to the nearest tenth of a percent?
is 3.66227766017 rational or irrational?
Answer:
I think it's irrational (viewpoint)
I WILL AWARD BRAINLIEST HELP PLEASE what are the x and y intercepts for y=−9x−14
Answer:
x-intercept(s):
(−14/9,0)
y-intercept(s):
(0,−14)
Answer:
The y-intercept is -14
The x-intecept is 1.5555...
Step-by-step explanation:
y-intercept is given on the equation
x-intercept
y = 0
0 = -9x-14
14 = -9x
- divide -9 from both side
x = -1.5555..
This is the x-intercept
A point is randomly selected on the grid. What is the probability that the point will be located in the shaded region? Give your answer as a fraction,
Answer:
how big is the shaded region tell me that and i will edit my answer to the right one
Step-by-step explanation:
Answer:
13/24
Step-by-step explanation:
I just did it happy holidays
How many ounces of a 15% alcohol solution must mixed with 2 ounces a 20% alcohol solution to make a 17% alcohol solution
Solve the equation g+ (-20) = 9.
Answer:
g=29
Step-by-step explanation:
g+(-20) is the same as g-20.
We need to get the g by itself, so we then add twenty to both sides to get g=29
Hope this helps :-)
Answer:
29
Step-by-step explanation:
g+(-20)=9
g-20=9
g=9+20
g29
Write 3 2/3 as an improper fraction
Answer:
11/3
Step-by-step explanation:
Multiply the 3 by the 3 and then add 2.
[tex]3 \frac{2}{3} [/tex]
[tex](3 \times 3) + 2[/tex]
[tex]9 + 2 = 11[/tex]
[tex] \frac{11}{3} [/tex]
Which number is an irrational number?
A) 3.5
B)
36
C)
48
D)
37
100
Answer:
3.5
Step-by-step explanation:
When comparing slopes which is steeper?
Usually the one with the more vertical line would be steeper.
I’m not sure if i am correct with my answer. Can Someone help or confirm which answer it is or if i’m correct or not? :)
What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?
Answer:
y = -3x - 11
Step-by-step explanation:
Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.
Point-slope formula: y - y = m(x - x)
Plug in the slope and point
y - (-5) = -3(x - (-2))
Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.
y + 5 = -3x - 6
Subtract the 5 from both sides
y = -3x - 11
The equation of the line is y = -3x - 11
Please help! Three step linear equations
(Please don’t answer with links)
5х + 6 = 8х + 12
Answer:
I solved it and my answer is - 2
Step-by-step explanation:
5x+6=8x+12
5x-8x =12 - 6
-3x =6
Divide by - 3
X=-2
simplify -3/4 divided by 2/-8
Answer: 3
Step-by-step explanation:
(-3/4)/(-2/8)=(-3/4)(-8/2)=(-3/4)(-4)=3
3 accidents in 12 months
Answer:
1 accident every four months.
Step-by-step explanation:
If you're supposed to find the number of accidents every 4 months, then the answer will be 1 accident every four months.
If this wasn't the answer, can you please provide more detail in your question so i can edit my response?
Thanks :)
Raia purchases a new car for $32,000 and finances it with a 6-year simple interest loan at a rate of 4.25% What are Raia’s monthly car payments?
Answer:
569
Step-by-step explanation:
Raia’s monthly car payments is $8160.
What is simple interest?Simple Interest (S.I.) is the method of calculating the interest amount for a particular principal amount of money at some rate of interest.
Given that, Raia purchases a new car for $32,000 and finances it with a 6-year simple interest loan at a rate of 4.25%
We need to find;
What are Raia’s monthly car payments?
So, SI = PRT / 100
P = Principal amount
r = rate
T = time
So,
SI = 32000 x 4.25 x 6 / 100
= 8160
Hence, Raia’s monthly car payments is $8160.
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Help! Have no clue how to do. Will give Brainly thing if someone helps
Answer:
h = 18( I might be wrong though)
Step-by-step explanation:
If BE and ED are perpendicular, that means this angle is supplementary.
BEF = 3h-12
FED = 2h - 23
BEF + FED = 90
3h-12 + 2h - 23 = 90
5h - 35 = 90
5h = 90
h = 18 degrees
-5y=60 solve for y plz. y=
Answer:
Y = -12
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
-5y=60
y=60/-5
y=-12
Changing it to the other side the negative sign is the same
Find the product of D = BA.
d11 = 0
d12 = 6
d21 = 1
d22 = -4
The required matrix is [tex]AB=\begin{pmatrix}0 &6 \\1 &-4 \end{pmatrix}[/tex].
Given equation is,
[tex]D = BA[/tex]...(1)
Equivalent matrix:
Equivalent Matrices are two matrices that have the same size and shape. There are certain conditions that must be met for matrices to be equivalent (or equal) to each other.
Also, the elements of the matrix [tex]D[/tex] are,
[tex]D=\begin{pmatrix}0 &6 \\1 &-4 \end{pmatrix}[/tex]....(2)
Then from equations (1) and (2) the required product of [tex]AB[/tex] is,
[tex]AB=\begin{pmatrix}0 &6 \\1 &-4 \end{pmatrix}[/tex]
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Answer:
1- 0
2- 6
3- 1
4- (-4)
Step-by-step explanation: EDGE 2022
Shaq ate 2 hot dogs every 12 hours. At that rate, how long, in hours, will it take to eat 5 hot dogs? label optional
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t
is measured in seconds. Which of the following gives the rate at which the area covered by the oil is changing at time t=10?
Answer:
did you ever fine out the answer to this lol
Step-by-step explanation:
Oil is spilled onto a kitchen floor. The area covered by the oil at time t is given by the function A, where A(t) is measured in square centimeters and t
is measured in seconds. The rate at which the area covered by the oil is changing at time t = 10 is A'(10).
Given that:
The area covered by the oil at time t = A(t)To determine the rate at which the area covered by the oil is changing with time, we need to differentiate A(t) with respect to time t.
∴
By differentiation:
[tex]\mathbf{\dfrac{dA}{dt} =A'(t)}[/tex]
The rate at which the area covered with oil is changing is t = 10∴
[tex]\mathbf{\dfrac{dA}{dt} \Big| _{t=10}=A'(t)\Big|_{t=10}}[/tex]
[tex]\mathbf{\dfrac{dA}{dt} =A'(10)}[/tex]
Therefore, we can conclude that the rate at which the area covered by the oil is changing at time t=10 is A'(10).
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On Thursday, Maura and her grandmother planted a total of
21 flowers. The ratio of yellow flowers they planted to the total
number of flowers they planted was 2:7. How many yellow
flowers did Maura and her grandmother plant on Thursday?
Answer:could be 10
Step-by-step explanation:
how old am i pick a number from 11-20 if you get it right ill mark you as brainlyest if your close ill mark you as brainlyest
Answer:
your 20
Step-by-step explanation:
Answer:
15?
Step-by-step explanation:
I didn't look at the comments, I swear