Answer:
[tex]y = 5\, x + 6[/tex].
Step-by-step explanation:
The slope-intercept equation of a line in a plane should be in the form [tex]y = m\, x + b[/tex] for some constant [tex]m[/tex] ("slope") and constant [tex]b[/tex] ([tex]y[/tex]-"intercept".)
In the slope-intercept equation, [tex]y[/tex] should be the only term on the left-hand side of the equation with a coefficient of [tex]1[/tex]. No term on the right-hand side shall include [tex]y\![/tex].
Rewrite the given equation to obtain the slope-intercept equation of this line.
[tex](10\, x) + (-10\, x) + 2\, y = (10\, x) + 12[/tex] (Add [tex]10\, x[/tex] to both sides of this equation.)
[tex]2\, y = 10\, x + 12[/tex].
[tex]y = 5\, x + 6[/tex]. (Divide both sides by [tex]2[/tex], such that the coefficient of [tex]y[/tex] becomes [tex]1[/tex] as required.)
Therefore, the slope-intercept equation of this line would be [tex]y = 5\, x + 6[/tex], with slope [tex]m = 5[/tex] and [tex]y[/tex]-intercept [tex]b = 6[/tex].
True or false: When testing the difference between two population means it is unlikely that one would know the value of the population variances.
PLEASE HELP WILL MARK BRAINLIEST
Answer:
A
Step-by-step explanation:
Expressing the identity in terms of a and b
(a + b)³ = a³ + b³ + 3ab(a + b)
Subtract 3ab(a + b) from both sides , then
a³ + b³ = (a + b)³ - 3ab(a + b) ← substitute given values
a³ + b³ = 12³ - 3(7)(12) = 1728 - 252 = 1476
Step-by-step explanation:
I hope you get it. you have to substitute and also find the value of a3 + b3
What property is illustrated in the following equation?
8 + 5 = 5 + ?
The answer is communitive property.
Answer: 3
Step-by-step explanation: Did it recently.
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
What is the value of this expression?
−29−(−13÷35)
Answer:
-29 13/35
Step-by-step explanation:
The (least common multiple, greatest common factor) of 5 and 10 is 5.
Answer:
the Greatest common factor is 5
What angle is congruent to ∠C?
Step-by-step explanation:
Order of congruence does not matter. For any angles A,B, and C , if ∠A≅∠B and ∠B≅∠C , then ∠A≅∠C . If two angles are both congruent to a third angle, then the first two angles are also congruent.
Find the coordinates of the point 1/3 of the way from A to B
plz help will mark as brainliest
Step-by-step explanation:
18 cm is the correct answer
Help given the graph of the function below what happens to f(x) when x is a small positive number?
Answer:
A
Step-by-step explanation:
Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)
Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
A watch company estimates that the profit (in peso)
for selling a particular model is given by
P(x)=4x^3-31x^3-10058x+158040 for 0 < x < 50
where x is the advertising expense (in tens of thousands of pesos).
What kind of polynomial is described by the equation?
A.quadratic
B.constant
C.cubic
D.quintic
I need an answer right now thank you.
The leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
The standard form of a polynomial expression is written as:
[tex]a_nx^n+ a_{n-1}x^{n-1}+ a_{n-2}x^{n-2}+...[/tex]
A polynomial function has a leading degree that is greater than 2;
Given the polynomial function
[tex]P(x)=4x^3-31x^3-10058x+158040[/tex]
From the given polynomial, the leading degree of the polynomial is 3. This shows that the polynomial described by the equation is a cubic polynomial
Learn more here:https://brainly.com/question/19809286
Louise spins the spinner twice. Which probabilities are correct? Check all that apply.
Consider the equation below.
-5n + 31 - 14n -
5–59 + 31 = –14n – 5
-
Select the equation that has the same solution.
-1 – 22n
20n – 9–1 – 22n = –20n - 9
0
1 = 0.75n + 3.251 = 0.75n + 3.25
In + 2 = −3+ min + 2 =
3 + 1
3 – 6n + 3n = – 3 + 4 – 4n3 – 6n + 3n = -3 + 4 – 4n
Answer:
-1 - 22m
Step-by-step explanation:
Why is all the answers on this website saying my work is wrong.
Answer:
you're wrong
Step-by-step explanation:
should have been "Why are all the answers on this website saying my work is wrong?"
if the diagonal of a square is 11.3 what is the perimeter
Answer:
Step-by-step explanation:
if the diagonal of a square is 11.3 what is the perimeter
from the diagonal we find the area, which can also be found by multiplying diagonal by diagonal divided by two, then we make the square root of the area and find the side, we multiply by four and we have the perimeter
(11.3 * 11.3) : 2 = 63.8 u² (Area)
√63.8 = 7.9 (side)
7.9 * 4 = 31.6u (perimeter)
the total of this is 297197401415÷842035
Answer:
Approximately 352,951.36
Answer:
Step-by-step explanation:
= 297197401415+842035
= 297198243450
=297197401415/842035
=352951.363
Give coordinates for three possible pairs of points for the other two verticies...
Answer:
A) (-1,3) and (4,3)
B) (-1,-7) and (4,-7)
C) (1.5, .5) and (1.5, -4.5)
Step-by-step explanation:
For 1 and 2, because the y-values of the points are the same, the length of the square can be found by subtracting the x-coordinates.
4-(-1)=4+1=5
The length of the side of the square is 5.
1. For the first set of points, the square is above the two given points so just add 5 to the y-values
-2+5=3
This gives you the points:
(-1,3) and (4,3)
2. For the second set of points, the square is below the two given points so subtract 5 from the y-values.
-2-5=-7
This give you the points:
(-1,-7) and (4,-7)
3. The third answer is when the two given points are on opposite corners
of the square.
Here the diagonal is equal to 5 since they are on opposite corners of the square.
The diagonal of a square can be found with the pythagorean theorem
Since we have the diagonal we can find the side lengths we need.
[tex]2s^2=25[/tex]
s=[tex]\sqrt{\frac{25}{2} }[/tex]
s=3.5355
We want the new vertices to be in the middle of the other vertices x-coordinates
[tex]\frac{4-(-1)}{2} =\frac{5}{2} =2.5[/tex]
The new vertices will be 2.5 units away from the other vertices
-1+2.5=1.5
The new vertices will be at x=1.5
Now we need the pythagorean theorem again to find the y-values
[tex](2.5)^2+h^2=(3.5355)^2[/tex]
[tex]6.25+h^2=\frac{25}{2}[/tex]
[tex]h=\sqrt{\frac{25}{2} -6.25}[/tex]
h=2.5
The new vertices will be:
(1.5, -2+2.5)=(1., .5)
(1.5, -2-2.5)=(1.5, -4.5)
What is the Slope of the line containing the points (3,4) and (5,6)? Please help
Answer:
1
Step-by-step explanation:
Y2-Y1/X2-X1 would become 4-6/3-5 which would become-2/-2 and that equals 1 because its a whole number and when you divide or add two negative numbers, it becomes a positive
HELP I WILL GIVE BRAINLEST
sin(x) = 1/2 and the angles must be between 0 and 180.
We can take the arcsin(1/2) and we get 30 degrees, but that is only half of the answer.
There are two angles for which the y value on the unit circle outputs 1/2.
To find this other value which is in the second quadrant: 180 - 30 = 150.
The other angle is 150 and can be checked by solving sin(150) which outputs 1/2 so we know have the correct answer.
Smaller = 30 Larger = 150.
P.S make sure your calculator is in degree mode.
Write each expression without using exponents.
a.
[tex]5 \frac{2}{3} [/tex]
b.
[tex]4 - \frac { 3}{2} [/tex]
5⅔ = ...
= (3 × 5 + 2)/3
= (15 + 2)/3
= 17/3
[tex] \: [/tex]
B.)4 - 3/2 = ...
= 4 - 1,5
= 2,5 <==> 2½
[tex]5 \frac{2}{3} [/tex]
[tex]=\frac{5 \times 3 + 2}{3} [/tex]
[tex] = \frac{15 + 2}{3} [/tex]
[tex] = \frac{17}{3}[/tex]
[tex]4 - \frac{3}{2} [/tex]
[tex] = \frac{4}{1} - \frac{3}{2} [/tex]
[tex] = \frac{4 \times 2}{1 \times 2} - \frac{3}{2} [/tex]
[tex] = \frac{8}{2} - \frac{3}{2} [/tex]
[tex] = \frac{8 - 3}{2} [/tex]
[tex]= \frac{5}{2}[/tex]
[tex] = 2 \frac{1}{2} \: \: \: or \: \: \: 2,5[/tex]
Solve 7! (Factorials) please help I suck at math :(
Answer:
7! = 5040
Step-by-step explanation:
7! is a factorial expression that can be solved as follows:
7 × 6 × 5 × 4 × 3 × 2 × 1 = 5040
Therefore, 7! = 5040
5/9 rounded to the nearest thousand
Describe the steps you used to solve the equation and
find the amount of Carrie's allowance.
Linear
equation: 1/4 a + 1/3 a+ 8 = 22
Answer: 22
Step-by-step explanation: 1/4a + 1/3a + 8 = 22
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
Jenny played four games of golf. For these games her modal score was 76 and her mean score was 75. Her range of scores was 10. What were her scores for the four games?
7+(4x8)-9
i need help this is weird
Answer:
30
Step-by-step explanation:
7+(4*8)-9
Multiply first inside the parentheses
7+(32)-9
Then add and subtract from left to right
39 - 9
30
Answer:
If x is a variable then the answer is 4x⁸ - 2
If x is a multiplication representation then the answer is 30
Step-by-step explanation:
If x is a variable:
1) Eliminate redundant parentheses
[tex]7+(4x^{8} )-9\\7+4x^{8} -9[/tex]
2) Subtract the numbers
[tex]7+4x^{8} -9\\-2+4x^{8}[/tex]
3) Rearrange Terms
[tex]-2+4x^{8} \\4x^{8} -2[/tex]
karl is 4 years older than danny. eigt years ago carl was twice as old as danny. How old is danny now
Answer:
Karl is 16 and Danny is 12
Step-by-step explanation:
solve the equation -4x³=32
Answer:
Step-by-step explanation:
- 4x^3 / (- 4) = 32 / (- 4)
x should and cannot be negative or it shouldn't be for example (- x) = 90
cubic root (x^3) = cubic root (- 8)
x = cubic root (- 8)
x = 2i
what is "i"?
It is an imaginary number as you cannot square, cubic, or whatever root with a negative in it. so instead you must add "i" to remove the negative as a replacement and indicator that it was a negative number.
a box of 15 cookies cost 9 dollars, how much will one cookie cost? khan academy
Answer:
135. You multiply to get your answer.
Help I need a helping hand
A boat travels at a rate of 30 miles per hour for 3.5 hours. Let y be the distance, in miles, the boat travels for a given amount of time, x, in hours. This situation can be modeled by a linear function. What is the domain of the function?
Question 11 options:
0≤y≤30
0≤y≤3.5
0≤x≤3.5
0≤x≤30
Answer:
Step-by-step explanation:
Recall that distance = (rate)(time). Here the rate is 30 mph and the time 3.5 hr. The distance traveled is proportional to the time passing by. The graph of the distance function is a straight line with slope equal to the "rate" named above:
d(x) = (30 mph)x
Since x (elapsed time) can't be negative in this situation, we write the domain as 0 ≤ x ≤ 3.5 hr.