f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \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}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]
so is linear because it has a slope (common difference) of -8,
Question 10 of 10
To model some data, Pat ran an exponential regression and found the
regression equation to be y = 0.496.1.3%,
The scatterplot and residual plot are shown.
Scatterplot
Residual plot
y
4
2
Select the true statements.
O A. The model is a good fit because the patterns in the plots are both
curves.
B. The points in the scatterplot follow a line, so a linear model would
fit the data better.
O C. The residual plot changes direction, so a quadratic model would
fit the data better.
D. The model is not a good fit because there is a pattern in the
residual plot.
Answer:
B.)The points in the scatterplot follow a line, so a linear model would fit the data better
A.)The model is not a good fit because there is a pattern in the residual plot.
Step-by-step explanation:
The linear model would best fit the scatter plot while the quadratic model would fit the residual plot. The true statements are: B and C.
What is a Linear Model and a Quadratic Model?A linear model is appropriate for data points that lie along a straight line on graph. If the line is not straight but curved and changes direction, a quadratic model is a better model for such data.
Thus, since the data points on the scatter plot are on a straight line, a linear model would fit the data.
For the residual plot that changes direction, a quadratic model would better fit the data.
The true statements are therefore: B and C.
Learn more about linear and quadratic model on:
https://brainly.com/question/13496810
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Mark breaks up a 9-hour drive into 3 parts. He drives 2 1/2 hours before stopping for lunch. After driving some more, he stops for gas. If the second part of his drive was 1 2/3 longer than the first part, how long did he drive after stopping for gas?
Answer:
4 1/6 hours
Step-by-step explanation:
2 1/2 + 1 2/3 = 25/6 = 4 1/6
Pls help I’ll brainlest ASAP
Guys please i need help on this, i will give brainliest to the right answers
Answer:
C) Discrete made up of individual points
Help me with this question
Answer: The angle is a acute angle not obtuse angle.
Step-by-step explanation:
Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Exact Form:
x
=
7
2
x
=
7
2
Decimal Form:
x
=
3.5
x
=
3.5
Mixed Number Form:
x
=
3
1
2
Answer:
X=3.5
Step-by-step explanation:
What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.
Hope it helped!
9. If ATLY ~ ACHK, find the value of x.
Check the picture below.
Find the volume (in cubic yards) of a rectangular solid with length 3.8 yards, width 2.2 yards, and height 2.3 yards.
Answer:
19.228
Step-by-step explanation:
multiply 2.2*2.3*3.8 to get 19 yd^3
litterally nobody answers my questions
my question is the image
Explain how to graph a line when given the standard form Ax + By = C of a linear equation.
PLEASE HELP ME
Step-by-step explanation:
A= C. - By
x. ×
answer by a
huhuhu
rewrite equation in slope - intercept form: (Solve for y)
2x-y=7
Answer:
y = 2x-7
Step-by-step explanation:
I'm not really sure this is the slope-intercept form, as I've never called it like that before, but if it is, there you go.
Answer:
[tex]\huge\boxed{\sf y = 2x - 7}[/tex]
Step-by-step explanation:
Given equation is:
2x - y = 7
Add y to both sides
2x = 7 + y
Invert the equation
7 + y = 2x
Subtract 7 to both sides
y = 2x - 7
This is the required equation in slope-intercept form y = mx + b where m is slope and b is y-intercept.
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807The probability of the test showing negative given the person does not have the disease?
what is the value of y so that the equation is true y^2 = -81
Step-by-step explanation:
to make the equation true the value of y must be.
-1×9²-1×81-81hope it helps.
stay safe healthy and happy.
Answer:
y=-/+9
Step-by-step explanation:
y^2=81
find the square root
y=positive/negative 9
Determine the slope of the line that contains the given points. E(-5,6), (4, -3) *
1 point
Your answer
Answer:
-1
Step-by-step explanation:
Use the slope formula to calculate
-3-6/4-(-5)
= -9/9
= -1 (Slope)
If a spherical tank 6 m in diameter can be filled with a liquid for $600, find the cost to fill a tank 12 m in diameter.
The cost to fill the 12 m tank is $__
If a car averages 22 miles per gallon, how many kilometers per liter is this?
We have to convert the units. 1 mile = 1.60934km, 1 gallon = 3.78541km
Since it's mile per gallon, we divide the units mentioned above.
1 mile / 1 gallon = 1 km / 1 gallon = 1.60934 / 3.78541 = 0.4251
Now multiply this result as a factor to 22
That is 22 * 0.4251 = 9.3522
So the answer is 9.3522
givien the function 6x+6y=5 rearrange the equation so that x is the independant varible
Answer:
so 6x = -6y + 5
divide by 6
x = 5
Step-by-step explanation:
what the words corresponding to the obtained value in the box provide on your answer sheet
[tex] \sqrt{2.5 \sqrt{8} } [/tex]
Answer:
4.47Step-by-step explanation:
Hope it helps to you
How is the series 9 + 13+ 17+ ... + 149 represented in summation notation?
Notice that
13 - 9 = 4
17 - 13 = 4
so it's likely that each pair of consecutive terms in the sum differ by 4. This means the last term, 149, is equal to 9 plus some multiple of 4 :
149 = 9 + 4k
140 = 4k
k = 140/4
k = 35
This tells you there are 35 + 1 = 36 terms in the sum (since the first term is 9 plus 0 times 4, and the last term is 9 plus 35 times 4). Among the given options, only the first choice contains the same amount of terms.
Put another way, we have
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=0}^{35} (9 + 4k)[/tex]
but if we make the sum start at k = 1, we need to replace every instance of k with k - 1, and accordingly adjust the upper limit in the sum.
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k-1=0}^{35+1} (9 + 4(k-1))[/tex]
[tex]\displaystyle 9 + 13 + 17 + \cdots + 149 = \sum_{k=1}^{36} (5 + 4k)[/tex]
identify which of the following in NOT equivalent to
[tex]2 \frac{2}{3} [/tex]
[tex]~\hspace{7em}\textit{rational exponents} \\\\ a^{\frac{ n}{ m}} \implies \sqrt[ m]{a^ n} ~\hspace{10em} a^{-\frac{ n}{ m}} \implies \cfrac{1}{a^{\frac{ n}{ m}}} \implies \cfrac{1}{\sqrt[ m]{a^ n}} \\\\[-0.35em] \rule{34em}{0.25pt}[/tex]
[tex]\boxed{A}\qquad \sqrt[4]{8}\implies \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{B}\qquad \sqrt[4]{2^3}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{C}\qquad 2^{\frac{1}{4}}\times 2^{\frac{1}{2}}\implies 2^{\frac{1}{4}+\frac{1}{2}}\implies 2^{\frac{1+2}{4}}\implies 2^{\frac{3}{4}} \\\\\\ \boxed{D}\qquad \left( 2^{\frac{1}{4}} \right)^{\frac{1}{2}}\implies 2^{\frac{1}{4}\cdot \frac{1}{2}}\implies 2^{\frac{1}{8}}\qquad \textit{\large \checkmark}[/tex]
HELPPP FAST LIKE 4 minutes left
Answer: A. 40
Step-by-step explanation:
.
Simplify.
{[2 + 3(−3 – 4) – 3] – 2} ÷ 23
Answer:
-0.2
Step-by-step explanation:
pls give me brainliest if possible
A 16-ounce bottle of Spring water is $2.08. A 20-ounce bottle of Fresh water is $2.40. Which statement about the unit price is true
hope this helps,
(Info is in attachment)
WILL MARK BRAINLIEST IF ANSWER IS CORRECT
Solve
20÷4+2•5
Answer: the answer is 8
Step-by-step explanation:
Hope this helped.
hi have a nice day
20
4
+(2)(5)
=15
Approximately what portion of the box is shaded blue?
A.3/5
B.2/3
C.9/10
Answer:
I think the answer is C.....
Mrs. Goldstein pours 3 juice boxes into a bowl to make punch each juice box hold 236 ml how much juice it does Mrs.Goldstein pour into the bowl
708 ml
When each box contains 236 ml of juice and she pours three boxes into the bowl, you need to multiply 236 by 3. After completing the calculation, you would get 708.
find the divergence and curl of the vector
F=(3x²y² +2z)i + (3x² + y +yz )j - (3x²z² +2yx + xyz)k
Divergence:
div(F) = ∂(3x²y² + 2z)/∂x + ∂(3x² + y + yz)/∂y - ∂(3x²z² + 2yx + xyz)/∂z
div(F) = 6xy² + 1 + z - 6x²z - xy
Curl:
curl(F) = [∂(3x² + y + yz)/∂z + ∂(3x²z² + 2yx + xyz)/∂y] i
… … … … … - [∂(3x²y² + 2z)/∂z + ∂(3x²z² + 2yx + xyz)/∂x] j
… … … … … + [∂(3x²y² + 2z)/∂y - ∂(3x² + y + yz)/∂x] k
curl(F) = (-xz - 2x - y) i + (6xz² + yz + 2y + 2) j + (6x - 6x²y) k
HELP PLS 15 POINTS first best is brainliest
What is the area of this figure?
Enter your answer in the box.
mm²
Answer:14mm
Step-by-step explanation:
Question is in picture
In parallelogram LMNO what is the measure of angle M?
Answer:
Step-by-step explanation:
∠L and ∠N are identical
3x + 40 = 5x
40 = 2x
20 = x
So ∠L and ∠N are both 100°
Internal angles on a quadrilateral sum to 360° and ∠M and ∠O are identical
∠M = (360 - 2(100))/2 = 80°
plz help I NEED IT RN PLZ
A quadrilateral has (blank) sides and (blank) angles
A pentagon has (blank) sides and (blank) angles
A cube (blank) faces
Step-by-step explanation:
A quadrilateral has (four) sides and (four) angles
A pentagon has (five) sides and (five) angles
A cube (six) faces
hope this helps you.