Answer:
In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
Step-by-step explanation:
i) from the general equation of line we know that any line can be represented in the form y = mx + c , where m is a constant and is called the slope of the line and c is also a constant and is the y-intercept.
ii) In the equation y = mx + c if we substitute the value of x as zero we will get a point on the y axis given by y =(m × 0) + c ⇒ y = c. Therefore the point of the line on the y axis is (0, c) and so c is also called the y intercept of the line.
iii) If for example we have the line 3y = 6x + 12 then we first get this equation of the line to match the general form of the equation of the line, that is y = mx + c. Therefore dividing both the left and the right sides of the given equation of the line by 3 we get y = 2x + 4 which matches with the general form of the equation for line and we see that the slope of the given line is m = 2 and the y intercept is given by c = 4.
what is the mad of 5,7.50,8.25,8,9.75,10.25,11,10.75
A 13
B 8.81
C 6
D 1.63
Answer:
B
Step-by-step explanation:
[tex]5+7.50+8.25+8+9.75+10.25+11+10.75 = 70.5[/tex]
[tex]70.5 \div 8 = 8.8125[/tex]
Answer:
1.63
Step-by-step explanation:
first we find the average of the numbers listed...do this by adding up all the numbers, then dividing by how many numbers there are.
(5 + 7.5 + 8.25 + 8 + 9.75 + 10.25 + 11 + 10.75) / 8 = 70.5 / 8 = 8.8125
now find the distance between the average and each of ur numbers.... IGNORE ALL NEGATIVE SIGNS
5 - 8.8125 = 3.8125
7.5 - 8.8125 = 1.3125
8.25 - 8.8125 = 0.5625
8 - 8.8125 = 0.8125
9.75 - 8.8125 = 0.9375
10.25 - 8.8125 = 1.4375
11 - 8.8125 = 2.1875
10.75 - 8.8125 = 1.9375
now take the average of those numbers
(3.8125 + 1.3125 + 0.5625 + 0.8125 + 0.9375 + 1.4375 + 2.1875 + 1.9375) / 8 =
13/8 = 1.625...rounds to 1.63 <=== this is ur MAD
What is the value of x in the equation
x − 2.4 = −6.4
Answer:
x=-4
Step-by-step explanation:
add 2.4 to -6.4
Which shows the expression below in simplified form?
( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )
A. 3.5 × 100
B. 3.5 × 103
C. 3.5 × 102
D. 12 × 101
Please explain how.
Answer:
A. 3.5 × 100
Step-by-step explanation:
( 7 × 10⁵ ) × ( 5 × 10⁻⁴ )
(7×5) ×10^(5+(-4))
(7×5) × 10^(5-4)
35 × 10
350
350 is equivalent to 3.5 × 100
Standard form , or standard index form, is a system of writing numbers which can be particularly useful for working with very large or very small numbers.
It is based on using powers of 10 to express how big or small a number is.
Standard form uses the fact that the decimal place value system is based on powers of 10:
10^0 = 1
10¹ = 10
10² = 100
10³ = 1000
10⁴ = 10,000
In laws of indices a² × a³ = a^(2+3)
Find the value of f(-1) for the function below. F(x)= 2/3×3(3x+12)
To find the value of f(-1), substitute -1 into the given function and evaluate it to get 42.
Explanation:To find the value of f(-1) for the given function f(x) = (2/3) * 3(3x + 12), we substitute x = -1 into the function and evaluate it.
Plugging in x = -1, we have f(-1) = (2/3) * 3(3(-1) + 12).
Simplifying further, f(-1) = (2/3) * 3(9 + 12).
f(-1) = (2/3) * 3(21).
f(-1) = (2/3) * 63 = 42.
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Find the 9th term of the geometric sequence
8 , 32 , 128
Answer:
the pattern seems to be to multiply by 4 so the answer would be 524,288
Step-by-step explanation:
8×4= 32×4= 128×4= 512×4= 2048×4= 8192×4= 32768×4= 131072×4= 524,288
The 9th term of the given geometric sequence is 524288.
What do we mean by geometric progression?Geometric Progression is a series/sequence in which every term is a product of its previous term and a constant. The first term is taken as 'a' and the constant is taken as 'r'. So the series goes on like a, ar, ar², ar³, ......, arⁿ⁻¹, where arⁿ⁻¹ represents the nth term.
How do we solve the given problem?We are said that the given sequence is a geometric progression.
We take the first term as a.
∴ a = 8.
The second term is given as 32. This term is the product of the first term 'a' and the constant 'r', that is, this term is ar. To find the value of r, we divide this term by a.
r = ar/a = 32/8 = 4.
The 9th term in the sequence can be found using the formula of the nth term given by,
nth term = arⁿ⁻¹.
∴ 9th term = 8*4⁹⁻¹ = 8*4⁸ = 8*65536 = 524288.
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Midpoint between 105 and 115
Answer:
110
Step-by-step explanation:
Subtract the greater value (115) by the smaller value (105) and this gives you the answer 10. So the distance between the two values is 10. Divide this by 2 to find the midpoint, and you get 5. You can either add 5 to the smaller value, or subtract 5 from the bigger value, either way you would get the answer of 110.
Answe110
Step-by-step explanation:
write the first four terms of the sequence defined by An=20-30(n-1)
The first four terms of sequence is 20, -10, -40, -70
Solution:
Given that we have to find the first four terms of sequence
Given recursive formula is:
[tex]a_n = 20 - 30(n-1)[/tex]
To find the first term, substitute n = 1
[tex]a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20[/tex]
Thus the first term of sequence is 20
To find the second term, substitute n = 2
[tex]a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10[/tex]
Thus the second term of sequence is -10
To find the third term, substitute n = 3
[tex]a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40[/tex]
Thus the third term of sequence is -40
To find the fourth term, substitute n = 4
[tex]a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70[/tex]
Thus the first four terms of sequence is 20, -10, -40, -70
Write the answer in simplest form: 5/6 − 3/5 a. 1 13/30 b. 2/11 c. 1/2 d. 7/30
Answer:
D) 7/30
Step-by-step explanation:
5/6-3/5=25/30-18/30=7/30
will give brainiest In △ABC, angle bisectors
AK
and
BL
are drawn. It is known that m∠BAC =m∠AKC and m∠ABC=m∠ALB. Find all the angles of △ABC.
Answer:
[tex]m\angle CAB=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=25\dfrac{5}{7}^{\circ}[/tex]
Step-by-step explanation:
AK is angle A bisector, then
[tex]m\angle BAK=m\angle KAC=x^{\circ}[/tex]
BL is angle B bisector, then
[tex]m\angle ABL=m\angle CBL=y^{\circ}[/tex]
Consider triangle ABL. The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then
[tex]m\angle BAL+m\angle ALB+m\angle LBA=180^{\circ}\\ \\2x+2y+y=180\\ \\2x+3y=180[/tex]
Consider triangle ABK. In this triangle,
[tex]m\angle AKB=180^{\circ}-2x^{\circ} \ [\text{Supplementary angles}][/tex]
The sum of the measures of all interior angles in this triangle is [tex]180^{\circ},[/tex] then
[tex]m\angle BAK+m\angle AKB+m\angle KBA=180^{\circ}\\ \\x+(180-2x)+2y=180\\ \\2y-x=0[/tex]
Hence,
[tex]x=2y\\ \\2(2y)+3y=180\\ \\4y+3y=180\\ \\7y=180\\ \\y=\dfrac{180}{7}=25\dfrac{5}{7}\\ \\x=\dfrac{360}{7}=51\dfrac{3}{7}[/tex]
Find the measures of the triangle ABC:
[tex]m\angle CAB=2x^{\circ}=102\dfrac{6}{7}^{\circ}\\ \\m\angle ABC=2y^{\circ}=51\dfrac{3}{7}^{\circ}\\ \\m\angle ACB=180^{\circ}-102\dfrac{6}{7}^{\circ}-51\dfrac{3}{7}^{\circ}=25\dfrac{5}{7}^{\circ}[/tex]
The problem is asking to find all angles of an isosceles triangle ABC with angle bisectors AK and BL. The given conditions imply that the triangle has angles of 45°, 45°, and 90°.
The student is asking about an angle bisector problem in triangle geometry. In triangle ABC, the angle bisectors AK and BL are drawn such that m∠BAC = m∠AKC and m∠ABC = m∠ALB. To solve this problem, we need to use the properties of angle bisectors and triangles.
Since AK is an angle bisector, it bisects ∠BAC into two equal angles. Similarly, BL bisects ∠ABC into two equal angles. We also know that the sum of angles in a triangle is 180 degrees.
Let's denote m∠BAC and m∠AKC as 'x'. Similarly, let's denote m∠ABC and m∠ALB as 'y'. Since AK and BL are bisectors, m∠BAK = m∠CAK = x and m∠ABL = m∠CBL = y. Hence, ∠ACB would be 180 - 2x - 2y (sum of angles in a triangle).
We are given that m∠BAC is equal to m∠AKC and m∠ABC is equal to m∠ALB. This implies that the triangle is isosceles with the following angle measurements: m∠BAC = m∠ABC = x (equal base angles in an isosceles triangle), and m∠ACB = 180 - 2x.
Now, since m∠BAC and m∠ABC are equal, we can say that 2x + (180 - 2x) = 180. Simplifying, we find that x = 45 degrees, and thus, all angles of triangle ABC are 45°, 45°, 90°.
what dose 10/31/19 mean to you emos?
Answer:
The return of My Chemical Romance.
Answer:
It means...EVERYTHING.
Step-by-step explanation:
Determine which of the following terms are not considered to be like terms with the expression -6s ( the two is squared like on top)2t
select all situations that apply
Answer:
[tex]s^2t^2[/tex]
[tex]4(s\cdot t)[/tex]
[tex]-6(s^2+t)[/tex]
Step-by-step explanation:
We want to select all the terms that are not considered to be like terms with [tex]-6s^2t[/tex].
The terms that are like terms with [tex]-6s^2t[/tex] must have [tex]s^2t[/tex].
It doesn't matter the coefficient.
So we can easily see that all the following are not like terms with [tex]-6s^2t[/tex]:
[tex]s^2t^2[/tex]
[tex]4(s\cdot t)[/tex]
[tex]-6(s^2+t)[/tex]
What is equivalent to 32x + d
Answer:
An expression
Step-by-step explanation:
Are these equivalent 3r-18 and 3(r-6)
D = a - b - c solve for b
To isolate b, add a and subtract c to the entire equation:
D - a + c = -b
Muliply b by -1 to eliminate the negative:
-D + a - c = b
How do you find the difference never 6/8 - 1/7
Answer:
Step-by-step explanation:
6/8 - 1/7
And 6/8 = 3/4
The LCM of 7 and 4 = 28
3/4 - 1/7 = {7(3) - 1(4)}/28
= (21 - 4)/28
= 17/28
give me an example of scale balance illustrating inequalities
Answer: 3x + 1 < 5 which has the same scale as x < 4/3
Step-by-step explanation:
Scale balance involves operating on each side of an equation or inequality, by adding, subtracting, multiplying, or dividing by a certain quantity, without changing the equilibrium of the equation or inequality.
The rules are easy,
* Everything you add to, subtract from, divide with, or multiply by one side of an equation or inequality must be done to the other side.
On Inequalities <, >, ≥, and ≤
* Anything you add, subtract, divide or multiply by the left hand side, the same must be done to the right hand side.
* Anytime you divide by a negative quantity, the inequality changes, and you must change the inequality sign.
Change < to > and vice versa.
Change) ≤ to ≥ and vice versa.
Example
Consider the following inequality.
3x + 1 < 5
subtract 1 from both sides of the inequality
3x + 1 - 1 < 5 - 1
3x < 4
Divide both sides of the inequality by 3
3x/3 < 4/3
x < 4/3
Here is another example.
Consider the following inequality
2y + 1 ≤ 5y + 9
Subtract 1 from both sides
2y + 1 - 1 ≤ 5y + 9 - 1
2y ≤ 5y + 8
Subtract 5y from both sides
2y - 5y ≤ 5y + 8 - 5y
-3y ≤ 8
Divide both sides by -3, but remember, DIVIDING BY A NEGATIVE QUANTITY CHANGES THE INEQUALITY .
-3y/-3 ≥ 8/(-3)
y ≥ -8/3 or -2⅔
I hope this helps, good luck.
Jessica has 7 times as many paint brushes as Mike. Mike has 14 paint brushes. How many paint brushes p, does Jessica have?
Jessica have 98 paint brush.
What is Multiplication?Along with addition, subtraction, and division, multiplication is one of the four fundamental arithmetic operations. The repeated addition of groups of equal size is referred to as multiplying in math.
Given Jessica has 7 times brushes as Mike,
Mike has 14 Brushes,
let Jessica have x brushes,
equation for problem is x = 7m
where m is no. of brushes Mike have
x = 7 × 14
x = 98
Hence the number of paint brushes Jessica have is 98.
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f(x) =
[tex] \sqrt[3]{x - 3} - 1[/tex]
Which of the following graphs corresponds to the function above?
Answer:
Step-by-step explanation:
the graph correspond to the function f :
PLEASE HELP ME WITH THIS REVIEW!!! MY TEAT IS TOMORROW AND IM CONFUSED!!!
Answer:
2. 1/13 3. 6/11 6. no, it would be about 66 people, which is less.
Step-by-step explanation: 2. since there is 4 7's you would have 4/52, -52 is how many cards total there are- and then you would simply 4/52 and get 1/13 3. there is a total of 11 marbles and 6 of them are blue so you have a 6/11 chance of getting a blue one. 54% of 124 is 66.96 which is about 66, and less than 82. ( sorry I don't know what 5 is )
Maria is learning to play golf. She has been working particularly hard on driving. Before lessons, her drive average 240 yards. After her first lesson , her drives increase 25% . After her second lesson, they increase another 25%. How far are average drives after two lessons?
The required difference is 160-yard average drives after two lessons.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
/ Division operation: Divides left-hand operand by right-hand operand
For example 4/2 = 2
We have been given that before lessons, her drive averaged 240 yards.
Here her drive average = 240 yards
After her first lesson, her drives increase by 25%.
Therefore her drive 2 = 240 + 0.25(240) = 320 yards
After her second lesson, they increase another 25%.
Therefore her drive 3 = 320 + 0.25(320) = 400 yards
So, the required difference in yards of average drives after two lessons
⇒ 400 - 240 = 160 yards
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Solve lxl>-9 PLS ANSWER FAST
Answer:
x= all real numbers
Step-by-step explanation:
the absolute value of x is always 0. and 0 is greater than -9
will mark brainliest
(6x - 4) + (-4x + 8)
6x−4−4x+8 = 6x+−4+−4x+8 and then combine like terms =6x+−4+−4x+8
=(6x+−4x)+(−4+8)
Answer: 2x+4
Answer:
2x + 4
Step-by-step explanation:
(6x-4) + (-4+8)
combine like terms:
6x - 4x
-4 + 8
(6x - 4x) + (-4+8)
= 2x +4
plz mark brainliest i just need 3 more until expert plz plz plz
Two people bought 46 apples. Chris bought 5 times more than Brian. How many apples did Brian buy?
Answer:
7.6667
Step-by-step explanation:
46÷6=7.6667
brian buys 7.6667 apples i believe.
but please round depending on question
A line passes through (-3,-5) and (5,-4) write equation in point slope form
Answer:
work is shown and attached
In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points. How many points did Becky score?
Answer:
Becky scored 28
Min scored 14. Together = 42
Step-by-step explanation:
The points scored by Becky will be equal to 28.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.
Given that:-
In their last basketball game, Becky scored twice as many points as Min. Together, they scored 42 points.The points scored by Becky will be calculated as:-
Let Min score M points and Becky score B points. so the equation will be given as from the given data:-
B = 2M
B + M = 42
Now put the value of B in the second equation:-
2M + M = 42
3M = 42
M = 14
B + M = 42
B = 42 - 14 = 28
Therefore the points scored by Becky will be equal to 28.
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At what point should an open circle be drawn (-1,0) (0,0) (0,1) (1,0)
I think the answer would be (0,0).
Hope this helps! ;)
Answer: (0,0)
Step-by-step explanation: Just confirming, this is the right answer :)
Which of the following is the independent variable of F(G(X))?
Answer:
x
Step-by-step explanation:
8x^2 - 2x = 1 quadratic simplification
Answer:
x = -1/4 = -0.250
Step-by-step explanation:
The discount of an item is directly proportional to the original price. The relationship is graphed in the diagram. Determine the discount on a $94 item.
A)
$23.50
B)
$35
C)
$47
D)
$58
9514 1404 393
Answer:
C) $47
Step-by-step explanation:
The arrowhead on the graph shows the discount of an item with an original price of 8 is 4. That is, the discount is half the original price.
The discount on $94 will be half that price, or ...
$94/2 = $47 . . . discount on $94