Answer:
-4, 3
The answer to the next question is: A (+4/3), B (+2/3), D (+2), E (+4), G (+1/3), H (+1)
Step-by-step explanation:
For edge:)
Rational root theorem is used to determine the potential roots of a function
The potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
The function is given as:
[tex]\mathbf{f(x) = 3x^2 - x - 4}[/tex]
p represents the leading coefficient, while q represents the constant term.
So, we have:
[tex]\mathbf{p = 3}[/tex]
[tex]\mathbf{q = 4}[/tex]
The factors of p and q, are:
[tex]\mathbf{p =\pm 1, \pm 3}[/tex]
[tex]\mathbf{q =\pm 1, \pm 2, \pm 4}[/tex]
So, the potential roots are:
[tex]\mathbf{Roots = \pm\frac{q}{p}}[/tex]
[tex]\mathbf{Roots = \pm\frac{\pm 1, \pm 2, \pm 4}{\pm 1, \pm 3}}[/tex]
So, we have:
[tex]\mathbf{Roots = \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Hence, the potential roots are: [tex]\mathbf{ \pm 1, \pm 2, \pm 4, \pm \frac{1}{3} ,\pm \frac{2}{3}, \frac{4}{3}}[/tex]
Read more about rational root theorems at:
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Which inequality is represented by the number line?
PICTURE ATTACHED PLEASE HELP ME!!!
Answer:
A i think
Step-by-step explanation:
cause its gonna be more than 6- so yeah if it is right then b
Quadratic functions q and ware graphed on the same coordinate grid.
The vertex of the graph of g is 18 units below the vertex of the graph of w.
Which pair of functions could have been used to create the graphs of q and w?
Answer:q(x)=18x^2 and W(X) = x^2
Step-by-step explanation:
The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
What is the vertex of the parabola?The vertex of a parabola should be the point where the parabola crosses its axis of symmetry. In the case when the coefficient of the x2 term is positive, so the vertex will be the lowest point on the graph.
Since The vertex of the graph of g is 18 units below the vertex of the graph of w so the above functions should be considered.
Therefore, The pair of functions that used for developing the graph of g and w is [tex]q(x)=18x^2\ and\ W(X) = x^2[/tex]
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Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
Write the slope-intercept form for the equation of the line.
Ariana borrowed some money from her friend in order to help buy a new video game system. Ariana originally borrowed $150 and agreed to pay back her friend $15 per week
Answer:
if it how long it will it take to pay her friend back its 135 weeks
Step-by-step explanation:
Matt wants to play in the sand pit, and then try the swings, the slide, and the seesaw, in that order. If the units on the coordinate plane are in yards, how many yards will Matt cover between the sandpit and the seesaw?
A.
12 yards
B.
15 yards
C.
18 yards
D.
25 yards
E.
29 yards
Answer:
it should be 12
i think :)
i hope im correct
Step-by-step explanation:
a shipping crate is a perfect cube with volume of 2,197 cubic feet. the ceiling of the warehouse is 14 feet high. will the crate fit in the warehouse explain why
Answer:
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
Step-by-step explanation:
Given that
Volume of cube = V = 2197 cubic feet
Side of cube = a =?
Height of ware house = h = 14 feet
In order for the crate to fit in the warehouse the height of crate has to be less than the height of warehouse i.e. a<h
In order to check this we have to find the side/height of crate
So,
[tex]V = a^3\\2197 = a^3[/tex]
Taking cube root on both sides
[tex]\sqrt[3]{a^3} = \sqrt[3]{2197}\\\sqrt[3]{a^3} = \sqrt[3]{13^3}\\ a = 13\ feet[/tex]
So the height of cube is 13 feet.
Comparing the height of c and height of ware house we can conclude that
Height of Warehouse > Height of crate
h>a
14>13
As the height of warehouse is greater than the height of crate, the crate will fit in the warehouse.
What is the image point of (-5,3) after a translation left 3 units and down 1 unit?
Answer:
(- 8, 2 )
Step-by-step explanation:
A shift of 3 left means subtract 3 from the x- coordinate
A shift of 1 down means subtract 1 from the y- coordinate
Translation rule is
(x, y ) → (x - 3, y - 1 ), thus
(- 5, 3 ) → (- 5 - 3, 3 - 1 ) → (- 8, 2 )
A ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is 73' 30' 40"
Complete question is;
A 21 ft ladder is leaning against a tall wall with the foot of the ladder placed at 7 feet from the base of the wall and the angle of elevation is?
Answer:
θ = 70.5°
Step-by-step explanation:
The angle of elevation simply means the angle that the ladder makes with the ground. Let's call this angle θ.
I've attached a diagram showing the triangle made by this ladder and the wall.
From the attached diagram, we can see the triangle formed by the ladder and the wall.
We can find the angle of elevation θ from trigonometric ratios.
Thus;
7/21 = cos θ
cos θ = 0.3333
θ = cos^(-1) 0.3333
θ = 70.5°
What is the length of BC?
O 11
O 23
O 40
O 60
Plz help
Answer:
BC = 40
Step-by-step explanation:
Answer:
X=23
BC = 40
Step-by-step explanation:
HELLLLPPPP MEEE PLZZZ!!!!
32 lbs of apples cost $160. How much would 25 lbs cost? *
Answer:
$125
Step-by-step explanation:
If you divide 160 by 32 you will get 5 then you will multipy 5 by 25 to get $125
Answer
125$
Step-by-step explanation:
5x32=160
5x25=125
Each pound of apples is equivalent to 5$
Spectrum word problems Grade 8 HELP
Answer:
add all the numbers up in 1 2 3 4 and 5
Step-by-step explanation:
Answer:3 4 5 7
Step-by-step explanation:
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
Given the table, explain how to find the slope of the linear function
Answer:
Slope is 3
Step-by-step explanation:
y2 - y1/x2 - x1 = m
6 - 12/0 - 2 = m
-6/-2 = m
3 = m
Pls brainliest
:(((
Mrs. Roslin has 32 students in her class. Of these students, 14 are girls. She chooses one boy and one girl at random to help pass out papers. Determine the total number of outcomes.
(Basically how many different outcomes can be made... no explanation needed.)
Answer:
2 outcomes
Step-by-step explanation
The Roslin has 32 students in her class, of these students, 14 are girlsl number of outcomes are 252.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
The total number of outcomes can be found by multiplying the number of options for choosing a boy by the number of options for choosing a girl:
Number of outcomes = number of options for choosing a boy x number of options for choosing a girl
Since Mrs. Roslin has 32 students in her class, there are 32 - 14 = 18 boys in her class.
So the number of options for choosing a boy is 18, and the number of options for choosing a girl is 14.
Therefore, the total number of outcomes is:
18 x 14 = 252
Hence, the total number of outcomes is 252.
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26=6k+8-6+2k
Need ASAP
Answer: k = 3
Step-by-step explanation:
Answer:
k=3
Step-by-step explanation:
26=6k+8-6+2k
combine all common integers from the same side, (8-6) and (6k+2k).
8-6=2
6k+2k=8
Which now translates the equation to 26=8k+2.
26=8k+2
continue by moving the (2) to the other side, do so by subtracting 26-2.
26-2=24
24=8k
Lastly, move the 8 to the other side of the equation by dividing 24/8.
24/8=3
Therefore, k=3
Daikwon and Chris are about to record a new CD. They have a choice between two back up bands. One band charges $50 plus $20 for each take. The second band charges S20 plus $25 for each take.
Answer:
The second band
Step-by-step explanation:
50+20=70
20+25=45
'Solve 4x- c= k for x.
Answer:The answer would be x=c+k/4
Step-by-step explanation:
The required solution for the equation ax -c = k for x is x = (k + c)/4.
Given that,
To determine the solution of the equation 4x- c= k for x.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
4x - c = k
Now, simplifying the above equation for x,
4x - c = k
4x = c + k
x = (c + k) / 4
Thus, the required solution for the equation ax -c = k for x is x = (k + c)/4.
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I would really appreciate it if sombody helped me please i suck at me math :(
LaShawn solved the equation below to the determine the solution. 3 x minus 8 = negative x + 4 (x minus 2) How many solutions does LaShawn’s equation have? zero one two infinitely many
Answer: D
D-infinitely many
Step-by-step explanation:
Took the Analyzing Solutions quiz on Edge 2020
Answer: D
D-infinitely many
Step-by-step explanation:
Edge 2020
Question - Which image shows a 90 degree clockwise rotation about the origin?
Can somebody help me with this. Will mark brainliest!
Answer:
Choice 1!
Step-by-step explanation:
What makes math word problems challenging for you? If word problems are not hard for you, explain what you do to solve them.
Well.
Step-by-step explanation:
For me, typically I dont read the question properly and do the math wrong. Other moments I cant even figure out what exactly the question is even asking.
Step-by-step explanation:
You can try to read the word problem once first (no need to be really through just need to get an idea of what's really happening), and then read again, now a little more through, where you need to understand what the question wants of you. Once you understood the question, relate it to the topic you have learnt and see if there's any formula in this topic that you have been taught. If there is, keep all of these formulas in mind. If there isn't then it's good just search for all the numbers given in the question and form and equation in it or just solve. If there may be formulas involved, try relate the question/info given to the formulas you have in your head and yeah
A landscaper installs 12 sections of the trellis. Each section of the trellis is 0.75 yards long. How many yards of the trellis are installed altogether?
Answer:
9
Step-by-step explanation:
you would do .75*12 because there are 12 stories and each one is .75 yards long, so to get all together, you do 0.75*12
Sorry im in a hurry
does 27 divided by 5 result in 5 and 6
Answer:
27 divided by 5 = 5.4
Step-by-step explanation:
What number is 9% of 118?
Answer:
10.62 is the correct answer ☺
£100 will buy lunches for 80 school children for 5 days
work out the cost of buying lunch for one school child for one day
I will only mark brainest and rate a 5 star if you show working out pls and the correct answer and working out
80 children x 5 days = 400 total lunches.
£100 / 400 lunches = £0.25 per lunch
The cost for one lunch for one student is £0.25
Which event prevented Descartes from publishing The World after he was done writing the book? serving as a soldier during the Thirty Years’ War accepting an invitation to tutor the queen of Sweden awaking from sleep due to three vivid dreams learning of Galileo’s imprisonment
Answer:
Learning of Galileo’s imprisonment
Step-by-step explanation:
I just went over this last week and i am 100% sure that this is correct
please everyone mark me as brainlest
Answer:
for brainliest you have to give answers not to ask questions
Step-by-step explanation:
then the people choose you brainliest if you give good answers
What is 4/6 + 5/7
Please add the fractions
[tex]\frac{4}{6}[/tex] simplified is [tex]\frac{2}{3}[/tex] this plus [tex]\frac{5}{7}[/tex] equals 1[tex]\frac{8}{21}[/tex]