Step-by-step explanation:
the problem description is seemingly contradicting itself.
"without replacement" means that you don't put the picked item back into the bag or "pool" of items.
and that means that after Rebecka picked a puppy, Aaron CANNOT pick the same one at all.
but then it says that they both may select the same one. which means it is WITH replacement.
so, what is it now ?
I have to give you both answers, and you will have to clarify with your original question or directly with your teacher what is the true condition.
in any case, a probability is always
desired cases / total possible cases.
WITH replacement (they can both pick the same puppy) :
there are 10 puppies, from which 3 are poodles.
so, total possible cases = 10, desired cases = 3
the probability to pick a poodle at the 1st pick = 3/10.
the picked puppy goes back.
the probability to pick a poodle at the 2nd pick = 3/10.
the probability that both picks are poodles is
3/10 × 3/10 = 9/100 = 0.09
WITHOUT replacement :
the first picked puppy is not returned to the group of 10 puppies, so, it can't be picked again, and the number of available puppies gets less as each puppy is removed. this changes the probabilities.
at the beginning we have 10 puppies, from which 3 are poodles.
the probability to pick a poodle at the 1st pick = 3/10.
the picked puppy does NOT go back.
now we have 9 puppies for Aaron to pick from. and for our desired cases for the second pick we have to combine it with the outcome, that the first pick was a poodle.
that means we have only 2 poodles left in the group of 9 puppies.
the probability to pick a poodle at the 2nd pick = 2/9.
the probability that both picks are poodles is therefore
3/10 × 2/9 = 6/90 = 1/15 = 0.066666666...
Select the correct answer from each drop-down menu.
Consider this equation.
- 1-5 = x - 8
The equation has
and
.A valid solution for x is
Answer:
-1-5=x-8
or, -1-5+8=x
or, x= -1-5+8
or, x= -6+8
or, x=2
therefore, x=2
If we can preach that it has 2 pairs of parallel sides, one pair of consecutive sides perpendicular and perpendicular diagonals.(check image)
Answer:
Prob Online
Step-by-step explanation:
Can't really think of one
Write the equation of the circle graphed below.
Step-by-step explanation:
eq of a circle is
(x-h)^2+(y-k)^2=r^2
h is 0
k=3
r is 1.5 this is radius of the circle
x^2+(y-3)^2=1.5^2
If students sit 3 per bench, we are short 3 benches. If they sit 5 per bench,
2 benches are left empty, and one bench only has 4 students. How many
benches are there?
An expression is defined as a set of numbers, variables, and mathematical operations. There are a total of 10 benches in the class.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Let the total number of benches be represented by x. If students sit 3 per bench, we are short 3 benches. Therefore, the total number of students can be written as,
Total number of students = 3x + 9
If they sit 5 per bench, 2 benches are left empty, and one bench only has 4 students.
Total number of students = 5(x-1) - 10 +4
Now, the total number of students can be written as,
3x + 9 = 5(x-1) - 10 +4
3x + 9 = 5x - 11
20 = 2x
x = 10
Hence, there are a total of 10 benches in the class.
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What is the volume of the sphere shown below?
O A. π units3
676
3
8788
3
C. 52 units 3
OD. 104 units3
B.
π units³
-13-
Answer:
B
Step-by-step explanation:
the volume (V) of a sphere is calculated as
V = [tex]\frac{4}{3}[/tex] πr³ ( r is the radius )
here r = 13 , then
V = [tex]\frac{4}{3}[/tex] π × 13³ = [tex]\frac{4}{3}[/tex] π × 2197 = [tex]\frac{4(2197)}{3}[/tex] π = [tex]\frac{8788}{3}[/tex] π units³
The solution is, B. 8788/3 * π units³ is the volume of the sphere shown below.
What is volume?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
the volume (V) of a sphere is calculated as
V = 4/3 πr³ ( r is the radius )
now, we have,
from the given figure, we get,
here r = 13 , then
V = 4/3* π × 13³
= 4/3* π × 2197
= 8788/3 * π units³
Hence, The solution is, B. 8788/3 * π units³ is the volume of the sphere shown below.
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what is the degree for the polynomial below ?
2x^(2)+3x + 1
Answer:
The exponent is 2, so the degree is 2
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′. The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5).
The slope of is
The coordinates of point N are (3, 5).2 the answer is 2/1 but just write 2.
We have given that,
Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin as the center of dilation, resulting in the image M′N′O′P′Q′.
What is the coordinate?A coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.
The coordinates of point M are (2, 4), and the coordinates of point N are (3, 5)
Therefore we get,
2 the answer is 2/1 but just write 2.
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Which four inequalities can be used to find the solution to this absolute value inequality?
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the inequality:
3 ≤ |x + 2| ≤ 6
Hence:
x + 2 ≤ 6, -(x + 2) ≤ 6, 3 ≤ x + 2 and 3 ≤ -(x + 2)
This gives:
x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
The four inequalities that can be used to find the solution of 3 ≤ |x + 2| ≤ 6 is x + 2 ≤ 6, x + 2 ≥ -6, x + 2 ≥ 3 and x + 2 ≤ -3
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Find the x-intercept of the rational function.
A (-5,0)
B (0,-5)
C (0, -1)
D (-1, 0)
Answer:
(-5,0)
Step-by-step explanation:
The x intercept is where it crosses the x axis
It crosses the x axis where x = -5
The y value is 0
(-5,0)
Answer:
A
Step-by-step explanation:
The x -intercept is 'shorthand' for x - AXIS intercept
where the graph crosses the x - axis
this will always have a ZERO value for the 'y'- coordinate
looking at the graph this point is -5,0
HELPPPP PLEASEE DUEE SOONNN
(A) n=w by the corresponding angles theorem.
(B) This is the correct answer. n=s by the vertical angles theorem and s and x are supplementary by the same-side interior angles theorem. Thus, n and x are supplementary, and are not always equal.
(C) n=z by the alternate exterior angles theorem.
(D) s=w, so (s+w)/2 = (s+s)/2 = s. Since n=s by the vertical angles theorem, n=s.
(E) n and w are equal by the corresponding angles theorem, and w and y are supplementary as they form a linear pair. Thus, n+y=180, and it follows n=180-y.
The two right-angled triangles below are
similar, which means that they have the
same angles.
a) Write down the value of sin as a
fraction in its simplest form.
b) Work out the length x.
8 cm
3 cm
16 cm
X
Not drawn accurately
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex] \tt{sin(\Theta) = \cfrac{3}{8}} [/tex]
[tex]\qquad \tt \rightarrow \: x = 6\:\: cm[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \: \sin( Theta) = \cfrac{Opposite \:\: side}{Hypotenuse}[/tex]
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} [/tex]
since the Triangles are similar, ratio of their corresponding sides are equal :
[tex]\qquad \tt \rightarrow \: \sin( \Theta) = \cfrac{3}{8} = \dfrac{x}{16} [/tex]
[tex]\qquad \tt \rightarrow \:x = 16 \sdot \cfrac{3}{8}[/tex]
[tex]\qquad \tt \rightarrow \: x = 2 \sdot3[/tex]
[tex]\qquad \tt \rightarrow \: x = 6 \: \: cm[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
Since the two right-angled triangles have the same angles, the values are; ai. sin θ= 3/8ii. sin θ= x/16b. x = 6cm
How to determine the valueUsing the sine trigonometric identity expressed as;
sin θ = opposite/hypotenuse
Then, we have that for the first triangle;
sin θ= 3/8
For the bigger triangle;
sin θ= x/16b.
Then, since we have that the sine identity is;
sin θ= x/16
But sin θ= 3/8
Divide the values and find the sine inverse in
θ= 0. 375θ = 22. 0 degrees
x = 0. 375 (16)
Multiply
x = 6 cm
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PLEASE HELP ME I'LL MARK U AS BRAINLIEST IF U GIVE ME THE RIGHT ANSWERS + GOT QUESTION A RIGHT JUST NEED QUESTION B AND C'S ANSWER
answer for b
catch the 9:10 bus from Beasley.
answer for c
10:06
hope this might help u.
Answer:
Answer for B is 9:10 for Beasley and The answer for C is 10:06
Step-by-step explanation:
a hyperbola centered at the origin has vertices PLEASE HELP QUICK
The equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0) is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
Given, that a hyperbola centred at the origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0)
What is hyperbola?In mathematics, a hyperbola is a type of smooth curve lying in a plane, defined by its geometric properties or by equations for which it is the solution set. A hyperbola has two pieces, called connected components or branches, that are mirror images of each other and resemble two infinite bows.
The formula for a hyperbola centred at the origin is [tex]\frac{x^2}{a^2} -\frac{y^2}{b^2 } =1[/tex]
The vertices are located at (±a, 0), so we have that the value of a is [tex]\sqrt{61}[/tex].
The foci are located at (±c, 0), where [tex]c^2 = a^2 + b^2[/tex].
So if we have that [tex]c = \sqrt{98}[/tex], we can find the value of b:
[tex]98 = 61 + b^2[/tex]
⇒ [tex]b^2 = 37[/tex]
⇒ [tex]b = \sqrt{37}[/tex]
So, the formula for this hyperbola is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
Therefore, the equation of the hyperbola with a given origin has vertices at (±[tex]\sqrt{61}[/tex], 0) and foci at (±[tex]\sqrt{98}[/tex], 0) is [tex]\frac{x^2}{61} -\frac{y^2}{37} =1[/tex].
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What is the measure of angle CED?
There are two triangles labeled ABC and DCE with a common vertex C. In triangle ABC, angle BAC is labeled as y, and angle ABC is labeled as 65 degrees. In triangle DCE, angle CDE is labeled as 65 degrees
y over 2, because Triangle ABC is congruent to triangle DCE
y, because Triangle ABC is similar to triangle EDC
y + 65 degrees, because Triangle ABC is similar to triangle DCE
115 degrees − y, because Triangle ABC is congruent to triangle DCE
The measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
Similar trianglesFrom the question, we are to determine the measure of angle CED
In the diagram, we can observe that ΔABC is similar to ΔEDC
This is by the Angle-Angle similarity theorem
The theorem states that
If any two angles of a triangle are equal to any two angles of another triangle, then the two triangles are similar to each other
Thus,
Angle CAB = Angle CED
In the diagram,
Angle CAB = y
∴ Angle CED = y
Hence, the measure of angle CED is y. The correct option is the second option- y, because Triangle ABC is similar to triangle EDC
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In the diagram below, Θ is measured in radians. Which equation represents the relationship between the radius, r, and arc length, s?
Circle O is shown. Line segments A O and B O are radii with length r. Angle A O B has a measure of theta. Arc A B has a measure of s.
s = Θ · r
r = Θ · s
s = Θ + r
r = Θ + s
The equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
How to determine the arc length?See attachment for the complete question
From the complete question, we have:
Θ represents the central angler represents the circle radiusThe angle is given in radians.
So, the arc length is calculated using
Arc length = Angle * Radius
Substitute known values
s = Θ * r
Hence, the equation that represents the relationship between the radius, r, and arc length, s is s = Θ * r
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Answer:
A
Step-by-step explanation:
On Edge
What is the slope of the line that passes through the points (8,-8) and (5,-1)?
Hey there!
Answer :[tex] \sf{ \purple{ \boxed{\bold{m = - \dfrac{7}{3} }}}} [/tex]
[tex] \\ [/tex]
Explanation :We are given the points [tex] \sf{P_1(\overbrace{ \blue{8}}^{\blue{x_1}} ,\underbrace{\orange{-8}}_{ \orange{y_1}}) \: and \: P_2(\overbrace{ \green{5}}^{\green{x_2}} ,\underbrace{\red{-1}}_{\red{y_2} })} [/tex] . To find the slope [tex] \sf{\purple{m}} [/tex] of such a line, we use the slope formula which is the following:
[tex] \sf{ \purple{m} }= \dfrac{\Delta y}{\Delta x} = \dfrac{ \red{y_2} - \orange{y_1}}{ \green{x_2 }- \blue{x_1}} [/tex]
[tex] \\ [/tex]
⇢Now, by plugging in our values, we get :
[tex] \sf{ \purple{m}} = \dfrac{ \red{ - 1} - \orange{( - 8)}}{ \green{5} \: - \: \blue{8}} = \dfrac{ \: \: 7 \: }{ - 3 \: } \\ \\ \implies \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}}[/tex]
Therefore, the slope of the line is [tex] \sf{ \purple{ \boxed{m = - \dfrac{7}{3} }}} [/tex]
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of a linear function that goes through (8,-8) and (5,-1)?
[tex]\Large\maltese\underline{\textsf{B. This problem has been solved!}}[/tex]
Formula utilised, here [tex]\bf{\dfrac{y2-y1}{x2-x1}}[/tex].
We utilise that formula because we have two points as our given information.
So, we
put in the values
[tex]\bf{\dfrac{-1-(-8)}{5-8}}[/tex] | subtract on top and bottom
[tex]\bf{\dfrac{-1+8}{-3}}[/tex] | simplify
[tex]\bf{\dfrac{7}{-3}[/tex]
[tex]\cline{1-2}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope=-\dfrac{7}{3}}[/tex]
[tex]\LARGE\boxed{\bf{aesthetic\not1\theta l}}[/tex]
Plssss help will give brainliest!!!
2. 3 is not a function
3. 4 is a function
To be a function it has to pass the vertical line test, meaning the x value can not repeat. So for this problem, you need to look at the ordered pair (x,y). For problem 2, answer 3 is not a function because the x value of 1 appears twice. For problem 3, answer 4 is a function because there aren't any x values being repeated.
Roni wants to write an equation to represent a proportional relationship that has a constant of proportionality equal to StartFraction 7 over 25 EndFraction. She writes the equation y = x + StartFraction 7 over 25 EndFraction. What error is Roni making?
She should have written y = negative x + StartFraction 7 over 25 EndFraction so that x and y have a constant sum.
She should have written x y = StartFraction 7 over 25 EndFraction so that x and y have a constant product.
She should have written y = StartFraction 7 over 25 EndFraction x so that x and y have a constant quotient.
She should have written y = StartFraction 7 over 25 EndFraction so that y has a constant value.
Answer:
y = 7/25x
Step-by-step explanation:
For a proportional relationship, we have
y ∞ x.
Let k = constant of proportionality = 7/25
Removing the proportionality sign, we have
y = k x
Therefore, the answer is
y = 7/25x
Instead of y= x + 7/25
So, the error is that x should be multiplied by 7/25 and not added.
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Vivian and Noelle both leave the park at the same time, but in opposite directions. If Noelle travels 5 mph faster than Vivian and after 8 hours, they are 136 miles apart, how fast in mile per hour is each traveling
Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
What is speed?Speed can be calculated as the ratio of distance traveled to the time taken.
Vivian and Noelle both leave the park at the same time, but in opposite directions, their total distance is the 136
Let Vivian's speed be = x
Let Noelle's speed be = x+5
They each can travel for 8 hours
so time = 8 hours
Distance = speed × time
136 = x(8) + (x+ 5) 8
136 = 8x + 8x + 40
96 = 16x
x = 6
So, Vivian is traveling at 6 Noelle per hour and Noelle is traveling at x+5 = 11 Noelle per hour.
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Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
The correct answer is option D which is p ³+ 2; when p = 3 the number of plants is 29.
The complete question is given below:-
liana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3? 3 p minus 2; when p = 3 the number of plants is 7 3 p + 2; when p = 3 the number of plants is 11 p cubed minus 2; when p = 3 the number of plants is 25 p cubed + 2; when p = 3 the number of plants is 29
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given expression is liana cubed the number of flowering plants in her garden, then added 2 vegetable plants.
If she cubed the number of the plants will be:- P³
Now she added two vegetable plants:- 2
Then the equation will be: - p³ + 2. Now we will put the value of p = 3 in the equation.
Total number of the plants = ( 3 )³ + 2 = 27 + 2 = 29
Therefore the correct answer is option D which is p³+ 2; when p = 3 the number of plants is 29.
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Which of the following is the correct order of the polynomial
2y5+y+3y7-4y³ +12?
Answer:
3y⁷ + 2y⁵ - 4y³ + y + 12
Step-by-step explanation:
2y⁵ + y + 3y⁷ - 4y³ + 12
(greatest - least powers)
I hope this helps!
What value of k makes the equation true? (5a^2b^3)(6a^kb)=30a^6b^4
The value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division
We have an expression given as:-
(5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
The mathematical properties we knew
[tex]x^mx^n = x^{m+n}[/tex]
[tex]x^m[/tex]÷[tex]x^n=x^{m-n}[/tex]
So the expressions will be written as:-
(5. 6 . a². a[tex].^k[/tex] .b³ .b = 30a⁶b⁴.
30 ( [tex]a^{2+k}[/tex])([tex]b^{3+1}[/tex]) = 30a⁶b⁴.
Comparing the terms we will get:-
[tex]a^{2+k}[/tex] = a⁶
2 + k = 6
k = 6 - 4
k = 4
Therefore the value of K will be equal to 4 for an expression (5a²b³)(6a[tex].^k[/tex]b)=30a⁶b⁴.
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simplify the ratio 42:63
Answer: 2:3
Step-by-step explanation:
common factor of 42 and 63: 21
42/21= 2
63/21= 3
find the common factor to find the ratio!
therefore the ratio is 2:3
Find y.
Help me please:))
Answer:
y = 47
Step-by-step explanation:
All of the angles in a triangle must add up to 180. The angle marked 3y can help us find the missing angle of the triangle: 180-3y
Then you can make an equation to help solve for y:
50 + (2y-3) + (180-3y) = 180
Combine like terms:
227-y=180
y = 47
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: y=47 \degree[/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
[tex]\qquad \tt \rightarrow \:(2y - 3) + 50 = 3y[/tex]
[tex]\qquad \tt \rightarrow \:2y - 3 + 50 - 3y = 0[/tex]
[tex]\qquad \tt \rightarrow \:2y - 3y + 47 = 0[/tex]
[tex]\qquad \tt \rightarrow \: - y = - 47[/tex]
[tex]\qquad \tt \rightarrow \:y = 47 \degree[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for y and z ~
[tex]\qquad \sf \dashrightarrow \: z + 61 = 180[/tex]
[ Co- interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 61[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 119 \degree[/tex]
now,
[tex]\qquad \sf \dashrightarrow \: 5y + 14 = 119[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 5y = 119 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \: 5y = 105[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 21 °[/tex]
Point p has coordinates (-4,-2) and point q has coordinates (4,3) calculate the shortest distance between P and Q. Give your answer to 1 decimal place
Answer:
distance = 9.4 units
Step-by-step explanation:
* using the distance formula *
d =
[tex] \sqrt{(x2 - x1 )^{2} + (y2 - y1)^{2} } [/tex]
[tex] \sqrt{( - 4 - 4) ^{2} + ( - 2 - 3) ^{2} } [/tex]
= 9.4 units
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
x < 3
Step-by-step explanation:
The last step is to divide by -2. When you divide by a negative number you must reverse (flip) the inequality symbol.
-6 < -2x
-6/-2 > -2x/-2
3 > x
This is the same as
x < 3 (see the pointy side pointing at the x and the wide open side facing the 3)
Help with math work
Answers for different section are given below;
What is Function?The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Here, given function;
f(x) = -x² - 4x + 6
1. If we take -1 common from the given function, we get
f(x) = -1 (x² + 4x - 6)
f(x) = -1 (x² + 4x) + 6
Thus, first block contains -1 and second block contains 4.
2. Then we add half of the coefficient of x², (b/2)², inside the bracket and subtract it outside a times, a(b/2)².
f(x) = -1 ( x² + 2. 2x + 2²) +2² + 6
f(x) = -1 ( x² + 4x + 2²) +4 + 6
Thus, first block contains -1, second block contains 4, third block contains 4, and fourth block contains 4.
3. Then we factorize the bracket and simplify outside the bracket;
f(x) = -1 (x + 2)² + 10
Thus, first block contains -1, second block contains 2 and third block contains 10.
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how to graph y = 2|x + 3| - 4
The x-intercepts and the y-intercepts of the function is that determines the graph is:
x-intercepts = (-5,0) and (-1,0)y-intercepts = (0,2)How do we graph the function y = f(x) of an absolute equation?The function of an absolute equation can be graphed by determining the values of x-intercepts and the y-intercepts of the function.
From the given equation:
y = 2|x+3| - 4
To determine the y-intercepts, we need to set the values of x to zero, and vice versa for x-intercepts.
By doing so, the x-intercepts and the y-intercepts of the function is:
x-intercepts = (-5,0) and (-1,0)y-intercepts = (0,2)Therefore, since we know the x and y-intercepts, the graph of the absolute value can be seen as plotted below.
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−3(a−8)+4a=−8(a+3)+3
