The table represents a linear function
What is the slope of the function?
х
0-6
-2
-1
0
1
2
y
8
2.
-4
10
16
&
6
Answers
The slope of the function showing by table is,
⇒ m = - 6
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The table represents a linear function.
Let Two points on the line are (- 2, 8) and (- 1, 2).
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 8) / (-1 - (-2))
m = - 6 / 1
m = - 6
Thus, The slope of the function showing by table is,
⇒ m = - 6
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Related Questions
This is correct? I need help please :(
Answers
Answer:
well, we only no that
2l + 2w is 80
(lengths and widths on all 4 sides
and that w * l is A
so the function should be w times what's left for l, but also expressed by something with w
2l + 2w = 80 | -2w
2l = 80 -2w | devide by 2
l = 80 - w
now we can substitute l in
A = w * l
so that we only need w's
A(w) = w * (80-w)
for any w it will give us the area, makes only sense for 0<w<80
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la figure ci-dessus représente une pyramide du sommet S.
Sa base le rectangle EFGH et sa hauteur SO, tel que O est le centre
du rectangle EFGH.
PETIT PLUS: SE=6.5 cm , EF= 4 cm , FG=3cm.
1)- calculer la distance EG.
2)-Montrer que: SO=6 cm
3)-Calculer le volume de la pyramide SEFGH
SVP JE DOIS LE RENDRE DEMAIN .
ET MERCI
Answers
Answer:
Step-by-step explanation:
Voir le diagramme ci-attaché.
1) Distance EG
À l'aide du théoreme Pythagore, EG^2 = EF²+FG² = 4²+3² = 25
=> EG = sqrt(25) = 5
2) Distance SO
Par la symétrie, EO=OG=(EG/2)=5/2 = 2.5
Encore, à l'aide du même théoreme,SE^2 = SO²+EO²
SO^2 = SE² - EO² = 6.5²-2.5² = 42.25 - 6.25 = 36
SO = sqrt(36) = 6 QED
3) Volume de la pyramide
V = (Aire de la base * hauteur ) /3
= (EF * FG) * SO /3
= (4*3) * 6 /3
= 24 cm³
what is the difference of the polynomials?
{m^2n^2-7}-(mn+4)
Answers
Answer:
[tex]m^{2} n^{2} - mn-11[/tex]
Step-by-step explanation:
Simplify the expression.
How many x-intercepts appear on the graph of this polynomial function?
f(x) = x - 5x?
O 1 x-intercept
O 2 x-intercepts
O 3 x-intercepts
O 4 x-intercepts
Answers
Answer: B
Step-by-step explanation:
There are two x-intercepts: x = -√5 and x = √5. The answer is: 2 x-intercepts.
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, is the location or coordinate from where the line crosses.
To find the x-intercepts of the polynomial function f(x) = x⁴ - 5x², we set f(x) equal to zero and solve for x.
Setting f(x) = 0:
x⁴ - 5x² = 0
Factoring out the common term x²:
x²(x² - 5) = 0
Now we have two factors: x² = 0 and x² - 5 = 0.
For x² = 0, we have a double root at x = 0.
This means the graph touches the x-axis at x = 0 but does not cross it.
For x² - 5 = 0, we can solve for x by taking the square root:
x² = 5
x = ±√5
Therefore, there are two x-intercepts: x = -√5 and x = √5.
The answer is: 2 x-intercepts.
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Please help me solve my problem!!!
Answers
True
Hope this helps! :)
______________
Out of the people who have already taken their seats at a seminar, 2 people have black hair while 2 people do not. Considering this data, how many of the next 16 people to take their seats should you expect to be black-haired?
Answers
Answer:8
Step-by-step explanation:
We can expect 8 of the next 16 people to have black hair, based on the given information.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Since 2 out of the total number of people who have already taken their seats at the seminar have black hair
we can assume that the probability of a person having black hair is 2 out of the total number of people who have taken their seats.
The probability of a person having black hair can be expressed as:
P(black hair) = 2/(2+2) = 1/2
This means that out of the total number of people who have already taken their seats, half of them have black hair.
If we assume that the next 16 people to take their seats are chosen randomly and independently from the population,
we can use the expected value formula to calculate the number of people with black hair we would expect among those 16 people:
Expected value = total number of people x probability of having black hair
Expected value = 16 x (1/2)
Expected value = 8
Therefore, we can expect 8 of the next 16 people to have black hair, based on the given information.
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A box shown below is to paint blue except the bottom. What is the area of the surface, and square inches, that will be covered with the paint?
Answers
Answer:
186
Step-by-step explanation:
Your entire surface area is
216
the area of the rectangle on the bottom is 30
substract 30 from 216
In a survey, 15 high school students said they could drive and 15 said they could not. Out of 60 college students surveyed, 30 said they could drive. Micah concluded that knowing that a person is in college means they are more likely to drive. Is Micah’s conclusion correct? Explain.
Answers
Answer:
No.
Step-by-step explanation:
#1, the sample size is not indicative of a proper high school population, unless of all there is a small amount of students in the high school (or even only 30 students in it). On a individual basis, it can vary widely, and so data analysis such as this is not correct. The data size is skewed as well for the college, especially as college campuses typically house more students then usual. To only ask 60 college students also skew the data gotten. Another sample error may be locational error, in which the location of the schools may warrant the need for a driver license, or if it is not needed, as well as the distance of the student's house and/or where needed facilities are to accommodate a student's needs and desires.
If we were to set all these problems aside and focus more on the question, 15 high school students said they could drive, and 15 said they could not, which makes the sample size of 30 high school students in all. 15 say they can drive, therefore:
15/30 = 1/2, or there is a 50% chance of obtaining a student that can drive.
On the other hand, out of 60 college students surveyed, 30 said they can drive, therefore:
30/60 = 1/2, or there is a 50% chance of obtaining a student that can drive.
∴ Micah's prediction is incorrect in obtaining a college student that can drive more easily then obtaining one that can drive in a high school.
However, remember that too small of a data size can lead to a heavy skew, and it will not represent reality as well.
~
Answer:
Sample Response: No, Micah is not correct. Since there are equal numbers in the group that drive and the group that doesn’t drive, the relative frequency for each is 50%. Because the relative frequencies are the same, there is no association between the variables.
Step-by-step explanation:
Got this from Edg 2021
Q7) A rectangular piece of land measures 8 m by 5m. It is to be fenced with four lines of wire. What length of wire is needed for fencing?
Answers
Answer:
26 m
Step-by-step explanation:
Find what length is needed for fencing by finding the perimeter of the land.
Use the perimeter formula, P = 2l + 2w
Plug in the length and width:
P = 2l + 2w
P = 2(8) + 2(5)
P = 16 + 10
= 26
So, the length of wire needed is 26 m
How do you find co terminal angle of -445
Answers
Answer:
275°
Step-by-step explanation:
-445+360=-85+360=275°
Ranking brainliest if correct :)))
Answers
Answer:
Hello! answer: always
Step-by-step explanation:
And Isosceles triangle is a triangle with two sides that have the same length therefore the answer is always because as shown there are two sides with the same length hope that helps!
Answer is: always
since a isosceles is a triangle with two equal sides and since two of the number is same(you know what i mean)
9. A sector of a circle has central angle
[tex] \frac{\pi }{4} [/tex]
and area
[tex] \frac{49\pi}{8} [/tex]
[tex] {cm}^{2} [/tex]
. Find the radius of the circle
Answers
Answer:
Step-by-step explanation:
Begin with the formula for the area of a sector:
[tex]A=\frac{\theta}{2\pi}*\pi r^2[/tex] and we are given everything except the radius, r. Filling in what we know:
[tex]\frac{49\pi}{8}=\frac{\frac{\pi}{4} }{2\pi}*\pi r^2[/tex] and then start the simplification process. I began by dealing with the fraction over a fraction thing, which simplifies the equation to:
[tex]\frac{49\pi}{8}=\frac{1}{8}\pi r^2[/tex] then isolate the r-squared:
[tex]\frac{8(49\pi)}{8\pi}=r^2[/tex]. Canceling out the π's and the 8's leaves us with simply
r² = 49 so
r = 7
What are the solutions of x2 - 2x +17 - 0?
O A. x = 1+2, or x = 1 - 2
O B. X = 1+4, or x = 1- 47
O c. x = 2, or x = -2
O D. x = 4; or x = -4/
Answers
Answer:
option B
Step-by-step explanation:
[tex]x^2 - 2x + 17 = 0 \ , \ [ \ where \ a = 1 , \ b = - 2 \ c = 17 \ ][/tex]
[tex]x = \frac{- b \ \pm \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{2 \ \pm \sqrt{2^2 - (4 \times 1 \times 17)}}{ 2 \times 1}\\\\x = \frac{2 \ \pm \sqrt{4 - 68}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{-64}}{ 2 }\\\\x = \frac{2 \ \pm \sqrt{8^2 \times -1}}{ 2 }\\\\x = \frac{2 \ \pm \ 8\sqrt{ -1}}{ 2 }\\\\[/tex]
[tex]x = \frac{2 \ \pm\ 8 i}{ 2 }\\\\[/tex] [tex][ \ where \ i = \ \sqrt{i} \ ][/tex]
[tex]x = 1 \ \pm \ 4i\\\\x = 1 + 4i , \ x = 1 - 4i[/tex]
Answer:
O B. [tex]x=1+4i[/tex] or [tex]x=1-4i[/tex]
Step-by-step explanation:
Use the Quadratic Formula for the Quadratic Equation!
Quadratic Equation: [tex]x^{2} -2x+17=0[/tex]
Quadratic Formula: [tex]x= \frac{-b±\sqrt{b^2-4ac} }{2a}[/tex]
**********************************************************************
Now set up the values like this!
[tex]ax^{2} +bx+c[/tex]
**********************************************************************
[tex]x=\frac{-b±\sqrt{-2^2-(4(0)(17)} }{2(0)}[/tex]
[tex]x=\frac{-b±\sqrt{4-(1)} }{0}[/tex]
x = 1 - 4i
x = 1 + 4i
In the applet above right triangle XYZ is drawn with a 23 degrees angle. for the right triangles with an angle of 23 degrees the ratio of the leg adjacent the 23 degrees angle compared to the hypotenuse is 0.92 if the leg adjacent to the 23 degrees angle has a length of 46 units, what is the length of the hypotenuse ?
Answers
Answer:
50 ( nearest whole number)
Step-by-step explanation:
Given from the question :
Ratio of Adjacent to hypotenus = 0.92
Length of Adjacent leg = 46 units
From trigonometry :
Ratio of adjacent to hypotenus is the cosine of the angle :
Hence,
Cos 23 = adjacent / hypotenus
Cos 23 = 46 / hypotenus
0.9205048 = 46/ hypotenus
Hypotenus = 46 / 0.9205048
Hypotenus = 49.97
[tex]\huge\mathfrak\red{please \: solve \: } \\ \\ {\huge{\underline{\bf{\green{factorise: - }}}}} \\ \\ {\huge{\boxed{\sf{\purple{2x {}^{2} + 9x + 10 }}}}}[/tex]
Answers
Answer:
(x + 2)(2x + 5)
Step-by-step explanation:
2x^2 + 9x + 10 =
This is a trinomial of the form ax^2 + bx + c, where a is not 1.
Step 1: Try to factor out a common factor.
In this case, there is no common factor in all terms.
We will now factor by grouping.
Step 2. Find the product ac.
ac = 2 * 10 = 20
Step 3. Find two factors of ac whose product is ac and whose sum is b.
In this case, we need two numbers whose product is 20 and whose sum is 9.
Those numbers are 4 and 5.
Step 4. Break up the middle term using the two numbers we just found.
9x becomes 4x + 5x
Now we have
= 2x^2 + 4x + 5x + 10
Step 5. Factor by grouping. Factor a common factor out of the first two terms. Factor a common factor out of the last two terms.
= 2x(x + 2) + 5(x + 2)
Finally, factor out the common factor, x + 2.
= (x + 2)(2x + 5)
Answer: (x + 2)(2x + 5)
The growth rate of some species of bamboo is 0.0000237 miles per hour. write this in scientific notation
Answers
Answer:
2.37 x 10 ^ -5
Step-by-step explanation:
A whole number is 6 more than 2 times another number. The sum of the two numbers is less than 50. This can be written in an inequality as x+2x+6<50, where xrepresents the smaller number.
From the set (13, 14, 15, 16, 17), the values of x for which the inequality holds true are
Answers
Answer:
13, 14
Step-by-step explanation:
The parameters of the numbers are;
A whole number value = 2 × Another number + 6
The sum of the two numbers is less than 50
Given that the first number is equal to more than twice the second number, we have that the first number is the larger number, while the second number is the smaller number
Where 'x' represents the second number, we get;
x + 2·x + 6 < 50
Simplifying gives;
3·x + 6 < 50
x < (50 - 6)/3 = 14.[tex]\overline 6[/tex]
x < 14.[tex]\overline 6[/tex]
Therefore, the numbers for which the inequality holds true are numbers less than 14.[tex]\overline 6[/tex]. From the given option, the numbers are 13, and 14.
Bab needs help with mafs
Answers
Answer:
Step-by-step explanation:
line HI
Anthony and Joan have $10 to buy apples and oranges at the market. They will buy a total
of 25 pieces of fruit. Apples cost 50 cents each and oranges cost 25 cents each. Which of
these systems best represents this situation?
Answers
x + y = 25 is the number of pieces of fruit they will buy, where x is apples and y is oranges.
0.50x + 0.25y = 10 applies the cost, in cents, to each piece of fruit. The 10 is 10.00, keeping everything to the same number of decimal places.
Which sentence explains why polygon ABCDEFGH is congruent to polygon MNOPQRST?
A.
A sequence of translations will map MNOPQRST onto ABCDEFGH.
B.
A sequence of rigid transformations will map MNOPQRST onto ABCDEFGH.
C.
A sequence of rotations will map MNOPQRST onto ABCDEFGH.
D.
A sequence of reflections will map MNOPQRST onto ABCDEFGH.
Answers
Answer:
correct option if Option D
Answer:
The answer is B.
Step-by-step explanation:
It can't be A, C, or, D because if the polygons were in a certain position, those transformations wouldn't work.
The definition of a rigid transformation is either a translation, rotation, or reflection. Therefore it must be B.
Sorry about how vague this is. It's hard to explain this without diagrams.
ans thissss plsssssssassss
Answers
Answer:
21.16 m^2
Step-by-step explanation:
perimeter of square=4l
18.4/4=l
4.6=l
area of square=l^2
=4.6^2
=21.16 m^2
Which equation shows the point-slope form of the line that passes through (3, 2) and has a slope of 1/3
Answers
Answer:
y-y1=m(x-x1)
y-2=1/3(x-3)
y=1/3x+1
suppose y varies inversely with x, and y=39 when x=1/3.what is the value of y when x=26
Answers
Answer:
y = 1/2
Step-by-step explanation:
Varies inversely
xy = k
------------------------
Find the constant of variation
y = 39 when x = 1/3
k = 1/3 * 39
k = 13
-----------------------
what is the value of y when x=26
26y = 13
y = 13/26
y = 1/2
Answer:
y = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given y varies inversely with x then the equation relating them is
y = [tex]\frac{k}{x}[/tex] ← k is the constant of variation
To find k use the condition y = 39 when x = [tex]\frac{1}{3}[/tex] , then
39 = [tex]\frac{k}{\frac{1}{3} }[/tex] ( multiply both sides by [tex]\frac{1}{3}[/tex] )
[tex]\frac{1}{3}[/tex] × 39 = k
13 = k
y = [tex]\frac{13}{x}[/tex] ← equation of variation
When x = 26 , then
y = [tex]\frac{13}{26}[/tex] = [tex]\frac{1}{2}[/tex]
Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95
Answers
Answer:
69.47%
Step-by-step explanation:
Calculation to determine Find the percent of markup
Using this formula
Percent of markup=New price-Old price/Old price
Let plug in the formula
Percent of markup=$15.95-$4.87/$15.95
Percent of markup=$11.08/$15.95
Percent of markup=0.6947*100
Percent of markup=69.47%
Therefore the percent of markup is 69.47%
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answers
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
What is the volume of this. Pyramid
720 cm2
1080cm2
1440 cm2
2160 cm2
Answers
Answer:
Option (1)
Step-by-step explanation:
To calculate the volume of the given pyramid,
Formula to be used,
Volume = [tex]\frac{1}{3}(\text{Area of the triangular base)}(\text{Height})[/tex]
Area of the triangular base = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(9)(15)[/tex]
= 67.5 cm²
Now volume of the pyramid = [tex]\frac{1}{3}(67.5)(32)[/tex]
= 720 cm³
Therefore, Option (1) will be the correct option.
What is the answer to 4/5 of 30?
Answers
Answer:
24
Step-by-step explanation:
[4 / 5 ] * 30 = 24
Answer:
24
Step-by-step explanation:
To get the answer you have to multiply the 4/5 x 30 to get the answer
What is the answer to the expression -5x + 1 = 31
Answers
Answer:
x = -6
Step-by-step explanation:
-5x + 1 = 31
Subtract 1 from each side
-5x + 1-1 = 31-1
-5x = 30
Divide by -5
-5x/-5 = 20/-5
x = -6
Answer:
x = - 6
Step-by-step explanation:
- 5 x + 1 = 31
subtract 1 from 31
- 5 x = 31 - 1
- 5 x = 30
Divide 30 by - 5
x = 30 / - 5
x = - 6
What's the circumference of a circle with a diameter of 18 inches? Use 3.14 for pi, do not round the answer.
Answers
C= 56.52inches
\ 4 people are going to a dinner party. Each person at the party will eat 56 pound of salad. If you can only buy whole pounds of salad, how many pounds should you buy?
Answers
Answer:
224 pounds
step by step :
one person eat 56 pound and we have four person so we must say that :
56 × 4 = 224 pounds
