The solutions of the given equation are x= (√5+3)/2 & x= (-√5+3)/2
What is sridharacharya formula ?
If ax²+bx+c = 0 is a quadratic equation ,where a,b,c are real numbers, Then the solution is x = (-b±√(b²-4ac))/2a , where a≠0
Which are the solutions of the equation ?The given equation is, 4x²-12x+9 = 5
So, 4x²-12x+9 = 5
⇒ 4x²-12x+9-5 = 0
⇒ 4x²-12x+4 = 0
Comparing this equation with ax²+bx+c = 0 we get,
a = 4, b = -12, c = 4
Applying sridharacharya formula we get,
x = (-(-12)±√((-12)²-4×4×4))/(2×4)
= (12±√(144-64)/8
= (12±√80)/8
= (3±√5)/2
The values of x are (√5+3)/2 & (-√5+3)/2
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35/40 reducing fractions
Answer: 7/8
What you have to do here is to find the highest number which can be divided by both. Or you have to divide both the numerator and denominator until it can not be divided by any number anymore. You can do this by finding the highest common factor (HCF) of both the number, 35 and 40.
Highest Common Factor: HCF of two or more numbers is the greatest factor that divides the numbers. For example, 2 is the HCF of 4 and 6.
So, the highest number which divides 35 and 40, is 5. Now 35 divided by 5 is 7 and 40 divided by 5 is 8. The final answer is 7/8 and there is no more numbers which can divide both of them by a specific number.
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(„• ֊ •„)♡
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hope it helped
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How to use delta math
Answer:
DeltaMath allows teachers to create free online accounts and assign their students automatically-graded, interactive problems from a long list of modules sorted by level – from middle school Common-Core-aligned math to AP Calculus.
Step-by-step explanation:
please mark me brainlist and follow me
PLSSSSSS ANGLES I need helppppp
Answer: B. 55°
Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.
180°- 125° = 55°
Therefore, the answer is B. 55°.
I hope this helps! Pls give brainliest!! :)
What is the slope of this line? 4 34 −34 −3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
The required slope of the line given by m = -3/4.
The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)
A line can be defined by a shortest distance between two points is called as a line.
equation of the given line is |
y =[tex]\frac{-3}{4}[/tex]x + 2
slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.
Thus the required slope of line y =[tex]\frac{-3}{4}[/tex]x + 2is given by m= -3/4 , This line passes through points (0, 2) and (4, -1).
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The first five terms of a quadratic sequence is 1,8,21,40,65 .
What is the nth term of this sequence?
Thanks
And will give a brainliest!!
Answer: Nth term = 5
Explanation:
An = a + ( n - 1 ) d
a = first term and
d = the difference
An = 1 + ( n - 1 ) 6
= 1n - 1 + 6
CLT
N = -1+6
N = +5 /5
Mark brainliest
Answer:
Formula To Find: [tex]a_{n} = 3n^2 - 2n[/tex]
Step-by-step explanation:
which three quantities are needed in order to calculate the value of the y-intercept for the linear regression prediction equation?
The three quantities needed are the mean of X, the mean of Y, and the slope
How to determine the values?The y-intercept of a linear regression is calculated using:
[tex]a = \bar y - a\bar x[/tex]
Where:
[tex]\bar y[/tex] represents the mean of y[tex]\bar x[/tex] represents the mean of xa represents the slopeHence, the three quantities needed are the mean of X, the mean of Y, and the slope
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Type the expression that results from the following series of
steps:
Start with n, divide by m, then subtract p.
Answer:
(n/m) - p
Step-by-step explanation:
Image attached
please help asappp!!!
Answer:
0
y = 2
Step-by-step explanation:
Since it's a flat line, the slope is 0.
Since all of the points have a y-value of 2, the equation is y = 2.
Answer:
Slope = 0
Equation: y = 2
Step-by-step explanation:
PQ is parallel to x-axis. Slope of the line parallel to x-axis = 0.
Slope of diagonal PQ = 0
Equation of line parallel to x-axis : y = a
Equation of diagonal PQ: y = 2 or y -2 = 0
b) The unit digit of a two-digit number is 1 less that the tens digit. If the number is increased by 8 and then divided by the sum of the digit, the result is 8. Find the number b ) The unit digit of a two - digit number is 1 less that the tens digit . If the number is increased by 8 and then divided by the sum of the digit , the result is 8. Find the number.
Answer:
The number is 32
Explanation :
Let the 2 number digit be 10x + z
Solution:
X-z=1
(10x+z+8) / (x+z) =8
10x+z+8=8x+8z
2x-7z-(2x-2z)=-8-2
-5=-10
Z = 10/5
Z =2
X=1+2
X=3
10×3+2 = 30 +2 = 32
The answer is 32
Solve for the value of x:-
4x+3(x-1)=67
Answer:
x = 10
Step-by-step explanation:
4x + 3(x - 1) = 67 ← distribute parenthesis and simplify left side
4x + 3x - 3 = 67
7x - 3 = 67 ( add 3 to both sides )
7x = 70 ( divide both sides by 7 )
x = 10
Hi. . .
✦•···················•✦•···················•✦
A n s w e r : -[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
E x p l a n a t i o n :Let's solve your equation step-by-step ~
➳ Step 1: Simplify both sides of the equation.
[tex]\sf{4x \: + \: 3(x \: - \: 1) = 67}[/tex]
[tex]\sf{4x \: + \: (3)(x) \: + \: (3)(-1) = 67} \: (Distribute)[/tex]
[tex]\sf{4x \: + \: 3x \: + \: -3 = 67}[/tex]
[tex]\sf{(4x \: + \: 3x) \: + \: (-3) = 67} \: (Combine \: like \: terms)[/tex]
[tex]\sf{7x \: + \: 7 \: -3 = 67}[/tex]
[tex]\sf{7x \: - \: 3 = 67}[/tex]
➺ Step 2: Add 3 to both sides.[tex]\sf{7x \: - \: 3 \: + \: 3 = 67 \: + 3}[/tex]
[tex]\sf{7x = 70}[/tex]
➽ Step 3: Divide both sides by 7.[tex]\sf{\frac{7x}{7} = \frac{70}{7}[/tex]
[tex]\boxed{\fbox{\huge{x = 10}}}[/tex]
Hope It Helps...
im really stuck on this one
Answer:
See below
Step-by-step explanation:
The first one IS decay...as 'x' increases the function decreases
the second and third are NOT ...as 'x' increases the value increases
radioactive decay IS decay (obviously)
the one with e^2x is not ....it grows exponentially as x grows
and finally the last one is decay because as x gets larger the value of y gets smaller
What is the value of K ?
Answer:
the answer is A K= -2.5
Step-by-step explanation:
i did the problem
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
Answer:
What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of
Convert 15 degree Celsius into Fahrenheit
Answer:
59 ° F
Step-by-step explanation:
F = 9/5 C + 32
= 9/5 (15) + 32 = 59 ° F
this is not a right angled triangle, but how do i find the 3rd side of a triangle if one side is 50 and the other side is 30?
Use the Pythagorean theorem.
does this table represent a function? yes or no
Answer:
D
Step-by-step explanation:
The table does not represent a function because their are two x values with the same y value.
Answer:
C. No, one x --- two different y's
Step-by-step explanation:
In order to be a function, every x can have only one y partnered with it. So if the function is written in this two-column format, if no x's repeat, you can say it is a function. If an x does repeat, it MUST have they same y both times. Here 2 repeats in the x column, but at first it is with 1 and in the next row it is with 4. Can't have that! So this is not a function!
(Btw, it doesn't matter at all the 4 repeats in the y-column nor that it is paired with different x's. Doesn't matter. Not a thing)
Will you do the hard questions
Answer:
No
Step-by-step explanation:
I will not do hard questions
I think my other question might've been deleted for some reason
We know that if (x,y) lies on the graph of a function, then (y,x) lies on the graph of its inverse.
This means you need to draw the segment with endpoints (9,1) and (2,3).
15 rounded to the nearest whole number
Answer:
15 rounded to the nearest whole number is 15 since it’s already a whole number.-
Step-by-step explanation:
The _____ _____, denoted , is given by the formula _____, where x is the number of individuals with a specified characteristic in a sample of n individuals.
The sample proportion denoted [tex]\hat{p}[/tex] is given by the formula [tex]\hat{p} = \frac{x}{n}[/tex], where, x is the number of individuals with a specified characteristic in a sample of n individuals.
What is a sample proportion?A sample proportion can be defined as the proportion of individuals in a sample that have a specified characteristic or trait.
Mathematically, sample proportion can be calculated by using this formula:
[tex]\hat{p} = \frac{x}{n}[/tex]
Where:
x is the number of individuals with a specified characteristic.n is the total number of individuals in a sample.Read more on sample proportion here: https://brainly.com/question/23838641
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Given f(x) = (x - 1)(x + 2)(x − 3), what are the zeros and end behavior of the function?
A function assigns the value of each element of one set to the other specific element of another set. The zeroes of the functions are -2, 1, and 3.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Given f(x) = (x - 1)(x + 2)(x − 3), therefore, the zeroes of the functions are -2, 1, and 3. The end behavior of the function is that if x approaches ∞ then f(x) approaches ∞, while if x approaches -∞ then f(x) approaches -∞, as can be observed from the given graph.
Hence, the zeroes of the functions are -2, 1, and 3.
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Answer:
−1, 2, −3; continues downward to the left and upward to the right
Step-by-step explanation:
Mario is setting up a new tent during a camping trip. The tent came with 7 feet of rope. The instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 - inch sections to tie the tent to stakes in the ground. Mario will use all of the rope as instructed. write and solve n equation to determine the number of 8 1/4 - inch sections of rope Mario can cut from the rope
An equation is formed of two equal expressions. The number of sections that Mario can cut from the rope is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Let the number of 8 1/4 - inch sections of rope Mario can cut from the rope be x.
Since the total length of the rope is 7 feet, which is equal to 84 inches(1 foot=12 inches), the instructions are to use 34.5 inches of the rope to tie a tarp on top of the tent. Therefore, the rope for the 8 1/4 inches section is,
Rope left = 84 inches - 34.5 inches
Since the length of a single section is 8 1/4 inches(8.25 inches), therefore the number of sections that can be made from the remaining section is,
The number of sections, n = Rope left/8.25 inches
= (84 -34.5)inches /8.25 inches
= 6
Hence, the number of sections that Mario can cut from the rope is 6.
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Choose the correct simplification of the expression (2x7y)2(y5)3.
The correct simplification of the expression is 4x¹⁴y¹⁷
Given,
The expression is (2x⁷ y)² (y⁵)³
To distribute the exponent, apply the power rule (ab)ⁿ = aⁿbⁿ
Implement the product rule to (2x⁷y)².
Here, we have a = 2x⁷ , b = y and n = 2
=(2x⁷)² y²(y⁵)³
= 2²(x⁷)² y²(y⁵)³
= 4(x⁷)² y²(y⁵)³
Now exponents should be multiplied while using the product rule.
The product rule is (aˣ)ⁿ = aˣⁿ
We apply this to (x⁷)² and (y⁵)³
So the expression becomes,
=4x⁷·² y² (y⁵·³)
= 4x¹⁴ y² y¹⁵
∵ In exponents we have a rule that if bases are same then powers are added i.e, aˣ aⁿ = aˣ⁺ⁿ
∴ 4x¹⁴ y¹⁵ ⁺ ²
= 4x¹⁴ y¹⁷
Hence we get the answer as 4x¹⁴ y¹⁷
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HELP!!
Which compound inequality is represented by the graph?
-5-4-3-2-1 0 1 2 3 4 5
O-2
0-2 ≤x≤4
O x < -2 or x ≥ 4
O x≤-2 or x > 4
Answer: Choice C
[tex]x < -2 \text{ or } x \ge 4[/tex]
==========================================
Reason:
The portion on the left represents [tex]x < -2[/tex] because of the open circle at -2 and shading pointing to the left. This represents all numbers smaller than -2.
The portion on the right represents all values that are 4 or larger; hence [tex]x \ge 4[/tex]. Note the use of a closed circle at 4 to include this value.
We connect those two inequalities with the keyword "or" because x can only pick one of those options, but not both at the same time.
I need help with this: -1/4 x (-7/9)
Multiply -1/4 by -7/9 ((To do this, multiply the numerator by the numerator and the denominator by the denominator.)
[tex]\bf{\dfrac{-1(-7)}{4\times9)} \ \ \to \ \ \ Multiply }[/tex]
Do the multiplications in the fraction -1(-7) / 4 x 9.
[tex]\bf{\dfrac{7}{36} \ \ \Rightarrow \ \ \ Answer }[/tex]
{ Pisces04 }The area of a rectangle is represented by the expression 6x³y5. Which of the following could be the
dimensions of the rectangle?
The length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The area of a rectangle is represented by the expression [tex]6x^3y^5[/tex].
The area of the rectangle = [tex]2x^2y^2 \times 3xy^3[/tex]
= [tex]6x^3y^5[/tex]
So, the length and width of the rectangle are: [tex]2x^2y^2 , 3xy^3[/tex]
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Find the area of sphere of radius 4 cm
GIVING BRAINLIEST TO CORRECT ANSWER What rotation about the origin is equivalent to R-200°
A. R-160
B. R560
C. R160
D. R200
The rotation about the origin that is equivalent to R-200° is; C. R160
How to find the angle of rotation?We are given;
Origin = -200°
Now, even if we add and also subtract a complete rotation of 360° (or even several rotations of 360°), we will want to have the similar rotation.
Thus;
By adding 360° to -200°, we have;
α = -200° + 360°
α = 160°
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Question 1(Multiple Choice Worth 4 points)
(02.02) The figure shows the letter Z and four of its transformed images-A, B, C, and D:
Z.
B
6-
5-
3-
2-
n
The figure that shows the reflection of the letter Z is C
Complete questionThe figure shows the letter Z and four of its transformed images—A, B, C, and D
Which of the four images was formed by a reflection of the letter Z?
A B C D
How to determine the reflection of Z?From the graph, see attachment, we have the following highlights:
The letter Z is in the second quadrant.
Also, B and D are letter Z.
So, they cannot represent the reflection
When reflected across the x-axis, the reflection is C
Hence, the figure that shows the reflection of the letter Z is C
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What is the probability of
spinning an A?
B
B
A
B
C
A
[?]%
C
Answer:
25%
Step-by-step explanation:
when we count, we know that there are 8 possible outcomes as to where the spinner will land.
{the following will be assuming each section has an equal chance of being landed on; that the spinner is not weighted}
We know that two of these 8 possibilities are "A"
This means that A has a 2/8 chance of being landed on
we can simplify 2/8 to 1/4; because they are equivalent ratios/fractions
to calculate percentage, we can follow through with our equation of 1/4
[divide 1 by 4]
1 / 4 = 0.25
We multiply this number by 100 to find percentage,
0.25 × 100 = 25
meaning that A has a 25% chance of being spun
hope this helps!! have a lovely day :)
Answer:
25%
Step-by-step explanation:
2 / 8 = 0.25
0.25 = 25%