Answer:
y+6=-3/4(x-2)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-6)=-3/4(x-2)
y+6=-3/4(x-2)
7x+6-2x=12x-7+2
Solve for x
Answer:
x = 11/7
Step-by-step explanation:
[tex]7x+6-2x=12x-7+2\\\\5x+6=12x-5\\\\5x+6-5x=12x-5-5x\\\\6=7x-5\\\\6+5=7x-5+5\\\\11=7x\\\\\frac{11}{7}=\frac{7x}{7}\\\\\frac{11}{7}=x[/tex]
Please answer it....
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
The third ordered pair that satisfy the given equation is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333).The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfy the given equation is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/1506955
9⁴ means _________ is multiplied by itself four times (30 points)
Answer:
9
Step-by-step explanation:
This is an example of an exponent. 9^4 means 9 is raised to itself 4 times.
If we break it down, it will look like: 9x9x9x9, which is 6561.
9⁴ =》9 multiplied by itself four times.
9⁴ = 9 × 9 × 9 × 9
9⁴ = 6561
_____
Hope it helps ⚜
Which of the following best describes the relationship between the variables on the scatter plot below?
A.
positive and negative association
B.
positive association
C.
negative association
D.
no association
A Perform the indicated operations. Show your solution in the given space below.
Answer:
C Negative Association
Step-by-step explanation:
Youll notice how the overall "line" of the graph goes down, the dots on the graph proceeding into the negative
What will be the average of the first five
consecutive numbers starting from 11
Answer:
13
Step-by-step explanation:
The average of any 5 consecutive numbers is the 3rd one (the middle one of the group). The third consecutive number starting from 11 is 13.
The average of {11, 12, 13, 14, 15} is 13.
I need help with pre calculus.
Problem 1
Answer: Choice A. (0,9)---------------------
Explanation:
The first task is to determine the function for f(x). Because it's linear, it's in the form y = mx+b. Let's find the slope m.
Select any two columns to pick out (x,y) points from the f(x) function. I'll pick the first two columns to select the points (-6,15) and (-4,11). Apply the slope formula to these two points to get...
m = (y2-y1)/(x2-x1)
m = (11-15)/(-4-(-6))
m = (11-15)/(-4+6)
m = -4/2
m = -2
Then use this m value along with any of the points of the table to determine the y intercept b. I'll use the point (-6,15)
y = mx+b
b = y-mx
b = 15-(-2)*(-6)
b = 15-12
b = 3
The y = mx+b equation becomes y = -2x+3 and that leads directly to the function f(x) = -2x+3.
Repeat all of those steps but do so for g(x) this time. I'll skip those steps over but you should get the function g(x) = 5x-6.
The y intercepts of f(x) and g(x) found were 3 and -6 respectively. Subtract those values to find the y intercept of h(x) = (f-g)(x) = f(x)-g(x).
So we get 3-(-6) = 3+6 = 9 which leads to the location (0, 9).
=========================================================
Problem 2
Answer: Choice Ax is any real number but x cannot equal -2, -1 or 1.---------------------
Explanation:
Through trial and error, the factor by grouping method, or using your graphing calculator, factor the denominator to get
g(x) = x^3+2x^2-x-2 = (x+2)(x+1)(x-1)
The factors (x+2), (x+1) and (x-1) lead to the roots of x = -2, x = -1, and x = 1 in that order. Those three roots of g(x) will make g(x) = 0 and cause a division by zero error in the denominator. So we must kick out those three values from the domain. Every other real number is allowed in the domain. So that's how we get the notation for choice A. It starts off saying x is a real number. Then it goes onto say that -2, -1 and 1 aren't allowed.
So overall the domain is described as: "x can be almost any real number except x cannot be -2, cannot be -1, and it cannot be 1".
Side note: We don't involve the numerator function at all.
=========================================================
Problem 3
Answer: Choice B. 2x+1 and x-3---------------------
Explanation:
The height is x, which we can factor out like this
2x^3-5x^2-3x
2x^2*x - 5x*x - 3*x
x(2x^2-5x-3)
Effectively you would use the distribution rule in reverse.
Now let's factor the remaining expression in the parenthesis.
I'll use the factor by grouping method.
2x^2-5x-3
2x^2-6x+1x-3
(2x^2-6x) + (1x-3)
2x(x-3) + 1(x-3)
(2x+1)(x-3)
Therefore, the full factorization is
x(2x+1)(x-3)
which shows we have the dimensions of x, (2x+1) and (x-3). The order doesn't matter so we could easily have (2x+1) the length and (x-3) the width, or we could have it the other way around.
You can verify that (2x+1)(x-3) expands out to 2x^2-5x-3 using either the FOIL method or the box method.
Not graded help please
Pls help I’ll brainlest I need a good grade
(05.03 LC) What is the initial value of the function represented by this graph? (1 point)
Answer:
0
Step-by-step explanation:
please help i only have a few minutes!! what are the measurements for 1 and 2?
Answer:
8 tablespoons1/2 cup4 ounces10 tablespoons plus 2 teaspoons2/3 cup5.2 ounces12 tablespoons3/4 cup6 ounces16 tablespoons1 cup8 ounces
If x = -2 is a solution to the systems shown below, then which of the following must be the value of m? (Hint, substitute to find y, then substitute again to find m)
y = 4x+ 10
y = mx - 4
overthinking for nooo reason
If x = -2 satisfies the system, then
y = 4x + 10 = 4(-2) + 10 = -8 + 10 = 2
so that
y = mx - 4 ⇒ 2 = -2m - 4
Solve for m :
2 = -2m - 4 ⇒ 2m = -6 ⇒ m = -3
How many times larger is 500 than 50
Answer:
10
Step-by-step explanation:
500/50=10
50*10=500
Consider the functions f(x) = 10^x and g(x)= f(x+4)
How will the graph of the function g differ from the graph of f ?
A) the graph of the function g is the graph of function f shifted 4 units down
B) the graph of the function g is the graph of function f shifted 4 units to the right
C) the graph of the function g is the graph of function f shifted 4 units to the left
D) the graph of the function g is the graph of function f shifted 4 units up
Simplify the expression
3+4·10 – 8
Answer:
35
Step-by-step explanation:
one word: PEMDAS. technically they are all a bunch of words but whatever...
P: parentheses
e: exponents
m: multiply
d: divide
a: add
s: subtract
first we multiply 4*10 since that's first on the list
4*10=40
we have
3+40-8
then we add
3+40
which is 43
then we subtract 8 from it as we have 43-8
which is in the end:
35
Ben has agreed to play fewer video games and spend more time studying. He has agreed to play less than 10 hours of video games each week. On Monday through Thursday, he plays video games for a total of 5 1/2 hours. For the remaining 3 days, he plays video games for the same amount of time each day. Ben plays less than ____ hood of veido games each of the three days ?
Answer Ben plays video games for 1 1/2 hours per day for the 3 days
Step-by-step explanation:
He has (10 - 5 1/2) hours or 4 1/2 hours left to split evenly over the next 3 days.
Let D = #hours per day Ben plays, then
3D = 4 1/2
3D = 4.5
D = 4.5/3
D = 1.5
What is 15/4 as a decimal?
Answer:
3.75
Step-by-step explanation:
Answer: 3.34
REEEEEEEEEEEEEEEEEEEEEEEEE
Please help me thx so much have a good day
Given that f(x) = 4x V3x + 3 and g(x) = 2vx + 1, find x(*)(). х Ox3 20x +3 OxVx+3 +3 O 2x 73
Answer: The answer is the last option, Option D.
Please can u help me with this question
[tex]a) \\\\\dfrac {2x}{3} =8 \\\\\implies 2x = 8 \times 3 = 24\\\\\implies x = \dfrac{24}2 = 12\\\\b)\\\\\dfrac{3x}2 = 6\\\\\implies 3x = 6\times 2 = 12\\\\\implies x = \dfrac{12}3 =4[/tex]
19.1 x 8.6 step by step.
Answer:
The is answer is 19.1x8.6= 164.26
Step-by-step explanation:
graph the line indicated by the slope, m = - 3, and passing through the point (-4, 1) .
The equation of a line in point slope form is expressed according to the formula;
y-y0 = m(x-x0)
m is the slope of the line(x0, y0) is any point on the lineGiven the following parameters
m = -3
(x0, y0) = (-4, 1)
Substitute into the formula above will givee;
y - 1 = -4(x+4)
y -1 = -4x - 16
y = -4x - 15
Next is to plot the graph of the line y = -4x - 15 on the coordinate plane as shown:
Learn more graphs here: https://brainly.com/question/19011142
help no links I need answers
Answer:
The answer is A im new to this id.k if you need help with the image or not sorry if that dosent answer your question but the answer is A for that picture.
Step-by-step explanation:
Plz help me well mark brainliest!….
Solve for y.
3y+5=4y−2
y=−7
y = 1
y = 3
y = 7
Answer:
y = 7
Step-by-step explanation:
3y + 5 = 4y − 2
=> 2 + 5 = 4y - 3y
=> y = 7
Therefore, y = 7.
Hoped this helped.
[tex]GeniusUser[/tex]
parallel to the line y=3/5x-8; passes through (0,-3)
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\impliedby y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{3}{5}}x-8[/tex]
so we're really looking for the line of a slope of 3/5 and passing through (0,-3)
[tex](\stackrel{x_1}{0}~,~\stackrel{y_1}{-3})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{3}{5}}(x-\stackrel{x_1}{0}) \\\\\\ y+3=\cfrac{3}{5}x\implies y=\cfrac{3}{5}x-3[/tex]
PLS ANSWER 30 POINTSSS
Answer:
letter B po
Step-by-step explanation:
basta letter B may ganyan din kame eh
The data set represents the total number of tickets each person purchased for a play.
0, 0, 1, 1, 1, 2, 2, 2, 4, 4.
What is the median of the data?
0 1
0 1.5
2.
ОО
0 2.5
The scale of a map is known to be 1: 500 000. Find the actual distance (in km) between a mall and the bus interchange if the represented distance on the map is 3.2 cm.
Step-by-step explanation:
when the scale says 1:500000, then that means 1 unit in the map corresponds to 500000 units in reality.
and so, 3.2 cm on the map are
3.2 × 500000 cm in reality.
3.2 × 500000 = 1,600,000 cm = 16,000 m = 16 km
find the slope of (5,-6) and (-1,8)
the slope is -14/6 or the simplified version is -7/3
Fid the value of the expression
Answer:
2
Step-by-step explanation:
The question askes what is k divided by m (k/m) when k is equal to 8 and m is equal to 4. So, plug the values into the original questions 8÷4. This means that the number 8 is being split into 4 groups. When 8 is divided into 4 groups each group is left with 2. Therefore, the answer is 2.
Another way to solve this is to make a fraction. 8÷4 is the same as 8/4. If you simplify that fraction you also get 2.