Answer:
[tex]y = -\frac{1}{3} x + 6[/tex]
Step-by-step explanation:
Slope-intercept form: [tex]y = mx + b[/tex], where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept.
The formula to find the slope of a line is [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
1) Plug the coordinates into this [tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex].
[tex]m = \frac{9 -6 }{-9 - 0 }[/tex]
2) Solve it. Simplify it if possible.
[tex]m = \frac{3 }{-9}[/tex]
Simplified: [tex]m = \frac{1 }{-3 }[/tex]
3) Plug the result into [tex]y = mx + b[/tex].
[tex]y = \frac{1}{-3} x + b[/tex]
4) Plug one of the points ([tex]x_{1}, y_{1}[/tex] or [tex]x_{2}, y_{2}[/tex]) into [tex]y = \frac{1}{-3} x + b[/tex] to find [tex]b[/tex].
[tex]6 = \frac{1}{-3}(0) + b[/tex]
[tex]6 = 0 + b[/tex]
[tex]6 - 0 = b[/tex]
[tex]6 = b[/tex]
5) Plug the result of [tex]b[/tex] into [tex]y = \frac{1}{-3} x + b[/tex].
[tex]y = \frac{1}{-3} x + 6[/tex]
The negative situated in the denominator can be genaralised to the fraction.
Therefore, [tex]y = -\frac{1}{3} x + 6[/tex].
16 PTS AND BRAINLIEST A book store manager took several random surveys of customers to determine which book genre they purchased most frequently. This table shows the average of each survey.
Based on the data shown in the table, which conclusions can be made about the frequency that customers purchase a genre?
Select each correct answer.
On average, 1 out of 6 customers purchases fantasy books most frequently.
On average, 24% of the customers purchase autobiographies most frequently.
On average, 22% of the customers purchase romance books most frequently.
On average, 2 out of 10 customers, purchase health and wellness books most frequently.
Book Genre Average of Surveys
Autobiographies 24
Mystery 11
Romance 22
Health and Wellness 18
Fantasy 15
Answer:
1/6 customer purchase Fantasy, and 2/10 customers purchase Heath and wellness books.
Step-by-step explanation:
Simply check each number of books over the total than see if it matches the percentage assumed.
Fantasy over total books = 15/90 which is 1/6 So that is correct
Autobiographies over total books = 24/90 = 26.6667 percent which is not what this option said, so not correct.
Romance books over total = 22/90 which equals 24.444 percent which is not equal to the 22 percent option, so also not correct.
And lastly Health and wellness books over total = 18/90 which equals to 20 percent. This is equal to 2/10. So this one is also correct.
Hope this helps, and please mark me brainliest!
need help ASAP will mark BRAINLIEST
Answer:
28 square inches
Step-by-step explanation:
There will be 4 sectors in a circle each having 90° central angle.
-> Area of circle = 4*Area of sector of circle having central angle 90°
= 4*7
= 28 sq inches
Are constant functions periodic? The reason I ask this is because a function is periodic if it has a period but in a constant function the period could be infinitely small.
Answer:
A function f:R→R is periodic if there exists some number t>0 such that
f(x)=f(x+t)
A constant function is periodic since you can take t=1,t=2, etc. (Hint: Hover over the tag "periodic-functions". What do you see?)
The fundamental period of f is the smallest of such t's. Since t cannot be 0, you are looking for the minimum of (0,∞), which does not exist.
Step-by-step explanation:
A social security number contains nine digits, such as 224-10-7135. How many different social security numbers can be formed?
Answer:
420 million
Step-by-step explanation:
There are up to 420 million numbers that were assinged.
Determine the total length of the major and minor axes for the ellipse 25x^2+y^2=25
Will give brainliest
Answer:
Step by step Solution :-
25X^2 + Y^2 = 25
A) Finding X value :-
1. Subtract Y^2 from both sides:
25X^2 = 25 - Y^2
2. Divide both sides by 25 :
( 25X^2 ) ÷ 25 = ( 25 - Y^2 ) ÷ 25
3. Dividing by 25 undo the multiplication by 25 :
X^2 = ( 25 - Y^2 ) ÷ 2
4. Divide ( 25 - Y^2 ) by 25 :
X^2 = ( - Y^2 ÷ 25 ) + 1
5. Take Square Root for both sides of equation ( before & after (=) ) :
X = √ ( 25 - Y^2 ) ÷ 5
X = - √ ( 25 - Y^2 ) ÷ 5
------------
Now that we knew what X value is, we'll figure out Y value too!
B) Finding Y value ( Finding Square Root ):-
Y^2 = 5√ ( 1 - X^2 )
1. Finding Square Root :
25X^2 + Y^2 = 25
2. Subtract 25X^2 value from both sides :
Y^2 = 25 - 25X^2
3. Take square root for both sides of equation :
Y = 5√ ( 1 - X^2 )
Y = - 5√ ( 1 - X^2 )
Dan needs to make a total of 25 deliveries this week So far he has completed 19 of them. What percentage of his total deliveries has Dan completed?
Answer:
76 percent.
Step-by-step explanation:
............................
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Answer:
......................
Step-by-step explanation:
If two angles are complementary in a right triangle, then explain how you can find the
value of x if sin 440 = cos x using 2-3 sentences. In the last sentence, give the value of x.
Answer:
46°
Step-by-step explanation:
Points of note
two angles are complementary in a right trianglesin 44° = cos x°Solving
The first thing to understand is "complementary" means that the two angles add up to 90°Therefore, 44 + x = 90x = 46°Answer:
46°
Step-by-step explanation:
Complementary angles
Two angles whose measures sum to 90°
In a right triangle, the angle opposite the hypotenuse is always 90°.
The interior angles of a triangle sum to 180°, therefore the other two angles are complementary angles since their sum is always 90°.
So we can label one angle as [tex]x[/tex] and the other as [tex](90-x)[/tex].
The side opposite angle [tex]x[/tex] is the side adjacent to angle [tex](90-x)[/tex].
Therefore, using trig ratios, we can say that [tex]\sin(x) = \cos(90-x)[/tex]
So, if [tex]x=44[/tex] then:
[tex]\implies \sin(44) = \cos(90-44)=\cos(46)[/tex]
cumulated Depreciation and Fees Earned would be sorted to which respective columns in completing a work
eet?
ect one:
. a. Balance Sheet and Statement of Owner's Equity-Credit; and Income Statement-Credit.
b. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Debit.
c. Income Statement-Debit and Income Statement-Credit.
d. Balance Sheet and Statement of Owner's Equity-Debit; and Balance Sheet and Statement of Owner's Equity-
Credit.
e. Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
Accumulated Depreciation and Fees Earned would be sorted into Balance Sheet and Statement of Owner's Equity-Debit; and Income Statement-Credit.
What is an accumulated depreciation?Accumulated depreciation is the accumulation of an asset's depreciation through a specific point in its lifetime. It is a contra asset account, which means that its proper balance is a credit that decreases the asset's overall value.
A corporation debits depreciation expenditures and credits accumulated depreciation when accounting for depreciation in the general ledger.
On the balance sheet, accumulated depreciation is recorded and shown underneath the line for associated capitalized assets.
Therefore, we can conclude that Accumulated Depreciation and Fees Earned would be sorted into the Balance Sheet.
Learn more about accumulated depreciation here:
https://brainly.com/question/9041582
10
10
U
U
g(x)
f(x)
8
10
-2
10-8
2
-108
--2
2
4
-8
- 10
If g(x) = f(x + k), what is the value of k?
Answer: -6
Step-by-step explanation:
The graph of g is the graph of f translated left 6 units.
evaluate the equation: F( 2 ) =
Answer:
3
Step-by-step explanation:
it's basically asking what is the y value that corresponded to x = 2
that value is 3.
An item on sale costs 60% of the original price. If the original price was $30, what is the sale price?
si
Х 5 ?
Answer: $18
Step-by-step explanation:
60% of original cost means 40% is taken off
40% = 0.4
30 x 0.4 = 12 so that is how much will be taken off
30-12= 18
$18
A student recorded the distance and height of a basketball when shooting a free throw.
Distance feet X 0 2 6 9 12 13 15
Height (feet) Y 4 8.4 12.1 14.2 13.2 10.5 9.8
(a) Write the quadratic regression equation mal models the data Letx=distance in feet and let y= height in feet Round all numbers to the nearest hundredth
(b) Use the equation to estimate the height of basketball when shot from 20 feet. Show your work.
Answer:
a) [tex]y = 0.118x^{2} +2.112x+4.215\\[/tex]
b)height = 896.2 feet
Step-by-step explanation:
for b, substitute 20 in place of x in the first equation.
In a circle, a central angle of 2 radians intercepts an arc of 6 centimeters.
Find the length of the radius in centimeters.
Answer:
3 cm
Step-by-step explanation:
To solve this problem, we can use the Arc Length Formula. This states that s = r · [tex]\bf \theta[/tex], where s = arc length, r = radius, and [tex]\theta[/tex] is the measure of the central angle (in radians).
From the problem, we are given that s = 6 cm, [tex]\theta[/tex] = 2, and we need to solve for r. Substituting these values into the equation gives us the following:
6 = r · 2
Solving the equation gives us r = 3 cm. Hope this helps!
Help what is the product?
Answer:
(6 18)
Step-by-step explanation:
[tex](4 \: 2) \times \binom{ - 2 \: \: \: \: \: \: \: \:5 }{7 \: \: \: \: \: \: - 1} \\ \\ (4 \times - 2 + 2 \times 7 \: \: \: 4 \times 5 + 2 \times - 1) \\ \\ ( - 8 + 14 \: \: \: \: \: \: 20 - 2) \\ \\ (6 \: \: \: 18)[/tex]
On a given planet the weight of an object varies directly with the mass of an object. Suppose that an object whose mass is 3kg weighs 21N. Find the weight of an object whose mass is 7kg
If your net pay, after a $142.00 automatic withdrawal, is $2,665.00, what percent of your net pay was withdrawn?
Answer:
Net pay = $142 + $2665 = $2807
Percent withdrawn = (withdrawal ÷ net pay) × 100%
= (142 ÷ 2807) × 100%
= 5.058781617...%
= 5.1% (nearest tenth)
A rectangle has an area of 20 cm^2. What will the area be if the rectangle tripled in size?
Answer:
180 cm^2
Step-by-step explanation:
For similar figures the ratio of areas is the square of the ratio of linear dimensions.
We take "tripled in size" to mean that the linear dimensions of the larger rectangle are 3 times those of the smaller rectangle. That means the area of the larger rectangle will be 3² = 9 times the area of the smaller one.
Area = (3²)(20 cm²) = 180 cm² . . . . area after tripled in size
Mr. Alden Richards is planning to build a gazeboo whose base is a regular octadecagon. At what angle should he cut the lumber to frame the base.
Find the area of the triangle with the following coordinates. A (-5,9) B (1,-7) C (8,4)
QUESTION : > FIND THE ARE OF THE TRIANGLE WITH THE FOLLOWING COORDINATES.
A. (-5,9)
B . (1,-7)
C . (8,4)
ANSWER :> A.
(-5,9).
HOPE IT HELPS
THANK ME LATER.
#CARY ON LEARNINGA point on a pre-image is currently located at (1, -3). The pre-image is translated 3
units right and 6 units up.
What are the NEW coordinates for the point after the translation? Use graph paper
to sketch the translation if needed.
(3, 4)
(3,4
(4,3)
)
(7.0)
0
(-2.2)
Answer:
(4,3)
Step-by-step explanation:
Since its a positive translation you add 3 to 1 because you are going to the right. You coordinates of that step then becomes (4,-3). Then you need to translate up 6 units. Because the y is -3 you add 3 to make 0, then 3 more (3+3=6) to get positive 3. You then end up with the coordinates (4,3)
Simplify the expression with nested parentheses.
430+ 26+6−33
Answer:
using bodmas.
6-33=-27.
430+26=456.
456-27=429
Manuel wants to rent a boat and spend at most 34. The boat costs 8 per hour, and Manuel has a discount coupon for 6 off. What are the possible numbers of hours Manuel could rent the boat?
5 hours
6 times 5 is 30, and if hes not wanting to go over, then it'd be 5 hours for $30
. What is 1- 87+23
What is 5- 700÷7
Step-by-step explanation:
[tex]1 - 87 + 23 \\ = - 86 + 23 \\ = - 63 \\ \\ \\ \\ 5 - 700 \div 7 \\ = 5 - 100 \ \\ = - 95[/tex]
hope it helps ..
i need help solving for x. with pythagorean theorem.
Answer:
[tex]14 \sqrt{3} [/tex]
Step-by-step explanation:
Here you use the 30-60-90 triangle
Note that the side length opposite of the 60 degree triangle is root of 3 times greater than the side opposite of the 30 degree angle.
Here, x is the opposite of 60 degree angle.
7 times root of 4 is opposite of the 30 degree angle,
So we have
So this means
[tex]7 \sqrt{4} \times( \sqrt{3} ) = x[/tex]
Note that
[tex]7 \times \sqrt{4} = 7 \times 2 = 14[/tex]
So we have
[tex]14 \sqrt{3} = x[/tex]
Given f(x) = x2 + 1 and g(x) = |x + 31| which value of x is a
solution to the equation f(x) = g(x)?
Answer:
the answer is 30..........
Which fraction is equal to 0.3?
Test help picture below problem 19 21
Step-by-step explanation:
PROBLEM 19
(side 1)² + (side 2)² = (hypo)²
56² + (side 2)² = 61²
3136 + (side 2)² = 3721
(side 2)² = 3721 - 3136
(side 2)² = 585
side 2 = root 585
side 2 = 24.1867732449
side 2 = 24.2cm
E. Parallelogram
reason
opposite sides are parallel
MARK ME AS BRAINLISTthe sum of two integers is - 120 if one of them is 82 find the other
Answer:
38
Step-by-step explanation:
Here,
Let one of the unknown integer be x whereas the other one be 82 (according to question)
Now,
X+82=120
Or, x=120-82
Or, x=38
Therefore the value of the unknown integer is 38.
GIVING BRAINLIEST
What is the measure of angle x?
40 degrees
80 degrees
130 degrees
140 degrees
Answer:
140 degrees
Step-by-step explanation:
Since alternate angles are equal, corresponding angles are equal, a pair of interior angles on the same side of the transversal are supplementary, and angles on a straight line add up to 180 degrees, 40 + x must equal 180 degrees.
To find angle x in this instance, you would need to subtract 40 degrees from 180 degrees.
[tex]180-40=140[/tex]
Therefore, the answer is 140 degrees.
Answer:
my test said 140
Step-by-step explanation:
