Given:
Two roots of a function are 10 and [tex]\sqrt{3}[/tex].
To find:
The additional roots.
Solution:
According to irrational root theorem, if [tex]\sqrt{b}[/tex] is a root of a function, then [tex]-\sqrt{b}[/tex] is also a root of than function.
Two roots of a function are 10 and [tex]\sqrt{3}[/tex].
Using irrational root theorem, we can say that [tex]-\sqrt{3}[/tex] is also a root of that function.
Therefore, the additional root is [tex]-\sqrt{3}[/tex].
please help me 11.3 + 8.97
Answer:
20.27
Step-by-step explanation:
Answer:
20.27
Step-by-step explanation:
Factor 7x3y4−7x2y5 completely.
A) 7xy(x^2y^3−xy^4)
B) 7x^2y^4(x−y)
C) 7(x^3y^4−x^2y^5)
D) x^2y^4(7x−7y)
Answer:
B
Step-by-step explanation:
when we factor completely, we take a look at what is the biggest common factor of 7x³y⁴ and 7x²y⁵. In this case it is 7x²y⁴.
7x³y⁴-7x²y⁵ = 7x²y⁴(x-y) which is B.
If a truck weighs 1200 kg and is traveling at 30 m/s, how much kinetic energy does it have?
Which of the following could be the graph of the equation y= -2x + 5? How do you know??(plz answer!!)
Answer:
The answer is c.
Step-by-step explanation:
This is because the slope is a negative, and since letter a, has a positive slope, it's out of the picture. Just by the looks of b, you can tell that the why intercept isn't 5. It looks like its y-intercept is 0. Letter d, also doesn't have a positive y-intercept so it's also out of the picture. Which leaves letter c. It has a positive slope and it looks like it has 5 as a y-intercept.
Someone please help me
Answer:
y = -x + 9
Step-by-step explanation:
Since the line is going down, you can safely assume that it is a negative slope function. The y-intercept is at (0, 9), so your final slope function should be y = -x + 9.
Helppppp!! Pleaseeeee
Please helpppp me pleaseee
what happens to an angles measure when the angle is rotated. i will brainlist
He had to wait 1 hour and 45 minutes at the airport in San Francisco. Then Frank
father had to wait another 35 minutes while the plane was in Portland.
How long did Frank's father spend waiting?
Answer:
Step-by-step explanation:
Quick IM timed!!
A researcher is comparing three new formulas for grass killer. To conduct the experiment, the researcher purchases 30 pieces of sod from various vendors to use in the study. The 30 pieces of sod are laid out in three different areas. The researcher places three slips of paper in a bowl labeled formula 1, formula 2, and formula 3 and randomly picks a piece of paper to apply that formula to the sod in the first area. Then the researcher picks again and applies that formula to the second area. Finally, the last formula is used on the last area.
Which component is missing from the researcher’s process?
A The researcher should not have laid out the pieces of sod in different areas.
B The researcher did not randomly assign the pieces of sod to the treatment groups.
C The researcher did not randomly pick the vendors when purchasing the pieces of sod.
D The researcher did not use randomization when selecting the pieces of sod from the vendors.
Answer:
The researcher did not randomly assign the pieces of sod to the treatment groups.
Step-by-step explanation:
Edge 2020/2021
Answer:
The researcher did not assign the chosen pieces of sod to treatment groups.
Step-by-step explanation:
The researcher needs to create three treatment groups, each containing 10 pieces of sod, and assign the chosen pieces of sod to these groups. Without this step, it is not clear how the three formulas will be applied to the pieces of sod.
Which polynomial is represented by the algebra tiles?
x2 – x – 4 x2 – x + 4 3x2 – 5x + 8 3x2 – 5x – 8
Answer:
x2 – x + 4
Step-by-step explanation:
Just took the test on edg
If x = 7 and y = 4, then x + 2y =
Given that if x = 7 and y = 4, the value of x + 2y = 15
Given the following:
x = 7
y = 4
Required:
Find the value of x + 2y.
Therefore, substitute x = 7 and y = 4 into the algebraic expression, x + 2y.
Thus, plug in the values into the expression:(7) + 2(4) = 7 + 8
x + 2y = 15
Therefore, given that if x = 7 and y = 4, the value of x + 2y = 15
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can u pls help me with this question asap
Answer:
bro this is easy search it up online u dont have to use brainly for these type of questions but the answer is 402.39 but if u want it rounded it is 402.40
Step-by-step explanation:
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78.9 x 510/ 100 = 402.39
402.4 (to the nearest tenth)
2) How can 4(3 + 8) be rewritten using the distributive property?
O 12 + 8
O 3 +32
O 12 +32
O 43 + 48
All radical expressions that are equivalent to 3 2/5
Answer:
15
Step-by-step explanation:
√15 (3√5)^2 3√5^2 3√10
If a football player passes a football from 4 feet off the ground with an initial velocity of 36 feet per second, how long will it take the football to hit the ground? Use the equation h =
-161 +62 + 4. Round your answer to the nearest hundredth.
Answer: 100 ft
Step-by-step explanation:
How do I solve 300x300=
Answer:
its 90,000
Step-by-step explanation:
just put the zeros together then multiply 3x3
The difference between 16.03 and 7.385 is …….
The ratio of wins to losses for the spartan football team is 3:5. If this trend continues and they play a total of 16 games, how many can they expect to win?
Answer:
10 games
Step-by-step explanation:
The team can expect to win 6 matches.
What is ratio?A ratio is a way to show a relationship or compare two numbers of the same kind. We use ratios to compare things of the same type.
Given that, The ratio of wins to losses for the spartan football team is 3:5. and this trend continues, they play a total of 16 games,
Let they won 3k games and loose 5k games.
Then,
3k+5k = 16
8k = 16
k = 2
Therefore, they lose 5·2 = 10 matches and won 3·2 = 6 matches.
Hence, the team can expect to win 6 matches.
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Which equation represents the linear function that is shown on the graph below?
10.14
9
8
00
7 6 5
4 +
3
2
1
1 2 3 4 5 6 7 8 9
Х
Answer:
[tex]y = \frac{1}{2}x - 2[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the linear equation
First, we need to calculate the slope
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph, the following relationships exist:
[tex](x_1,y_1) = (4,0)[/tex]
[tex](x_2,y_2) = (10,3)[/tex]
So, the expression for calculating slope becomes:
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m = \frac{3-0}{10-4}[/tex]
[tex]m = \frac{3}{6}[/tex]
[tex]m = \frac{1}{2}[/tex]
Next, we calculate the equation using:
[tex]y - y_2 = m(x - x_2)[/tex]
This gives:
[tex]y - 3 = \frac{1}{2}(x - 10)[/tex]
Open bracket
[tex]y - 3 = \frac{1}{2}x - 5[/tex]
Make y the subject:
[tex]y = \frac{1}{2}x - 5+3[/tex]
[tex]y = \frac{1}{2}x - 2[/tex]
pls help me!! thank you!!
Full working out shown from step 1 to last.
follow it and you get 24 square feet as final answer. Good luck in other questions!!!
Kim uses decals to decorate 5 cars and 2 motorbikes. She uses 2/3 of the decals on the cars and 2/5 of the remaining on the motorbikes. She has 6 decals left. How many decals does Kim use on each car?
Answer:
I decal per car and motor bike
Step-by-step explanation:
Convert to degrees −31π/36
Answer:
−31π/36 = -15.5°
Step-by-step explanation:
We need to convert −31π/36 to degrees.
The conversion from radian to degrees is calculated as follows :
[tex]\text{Degrees}=\dfrac{180}{\pi }\times \text{radian}\\\\=\dfrac{180}{\pi}\times \dfrac{-31\pi }{360}\\\\=-15.5^{\circ}[/tex]
So, −31π/36 is equal to -15.5 degrees.
MATH WORK PLEASE HELP GIVING MANY POINTS ONLY DO THE ONES IN PURPLE!!
Answer:
Step-by-step explanation:
8,3,4,6,7,2,5,
PLZ I NEED ANSWERS. THIS IS MIDDLE SCHOOL LEVEL NOT COLLEGE
Select ALL the expressions that are greater than one
A: 4 Divided by 3/4
B: 1/3 Divided by 10
C: 5/6 Divided by 2/5
D: 3 1/8 Divided by 2 7/8
E: 9/7 divided by 8/7
Answer: The answers are all of the options except for B.
Step-by-step explanation:
Option A. 4/1 x 4/3 is 16/3. 16/3 > 1
Option B. 1/3 x 1/10 is 1/30. 1/30 < 1
Option C. 5/6 x 5/2 is 25/12. 25/12 > 1
Option D. 25/8 x 8/23 is 200/184. 200/184 > 1
Option E. 9/7 x 7/8 is 63/56. 63/56 > 1
Hence, the correct answer is option A, C, D, and E.
Which of the following is equivalent to (mn)³?
a. 3mn
b. m³n
c. mn³
d. m³n³
Answer:
Step-by-step explanation:
d is correct
A car uses a litre of petrol to travel 4km. How many litres will it use to travel 32 kilometres.
Given that,
A car uses a litre of petrol to travel 4 km.
To find,
How many litres will it use to travel 32 kilometres.
Solution,
We have,
1 litre = 4 km
or
1 km = (1/4) litre
Let it will use x litres to travel 32 km.
32 km = (32/4) litres
= 8 litres
Hence, 8 litres it will use to travel 32 km.
The Blue Streak Taxi Company charges each customer $3.00 plus $0.22 a mile, Which equation could be used to find the number of miles m the cab traveled if the fare was $8.75?
Answer:
3.00+0.22m=8.75
Step-by-step explanation:
The larger of two numbers is 10 less than twice the smaller number. If the sum of the two
numbers is 38, find the two numbers.
Answer:
Let the larger number = y and the smaller number = x.
The largest number is 10 less than twice the smaller number. Remember that less than means subtract the 10 from the other amount while twice means multiply by two. Therefore,
y = 2x - 10
The sum of the two numbers is 38. Remember sum means add the two numbers to get their result. Therefore,
x + y = 38
Since y = 2x - 10, we rewrite the lower equation as:
x + (2x - 10) = 38
Solving:
3x - 10 = 38
3x = 48
x = 16
The lesser number is 16 and the greater number is 2(16) - 10 or 22.
In a survey of school students, 64 had taken mathematics course, 94 had taken chemistry course, 58 had taken physics course, 28 had taken mathematics and physics, 26 had taken mathematics and chemistry, 22 had taken chemistry and physics course, and 14 had taken all the three courses. Find how many had taken one course only by using Venn diagram.
Answer:
ask again
Step-by-step explanation:
The number of students taken only one course is 106
What is Venn diagram?A Venn diagram exists as an illustration that utilizes circles to illustrate the relationships among things or finite groups of things. Circles that overlap include a commonality while circles that do not overlap do not share those traits. Venn diagrams permit visually illustrating the similarities and contrasts between two concepts.
Let M =sets of students who had taken mathematics
C= sets of students who had taken chemistry
P= represent sets of students who had taken physics
From the given information, we have
n(M) = 64 , n(C) = 94, n(P) = 58,
n(MnP) = 28, n(MnC) = 26, n(CnP) = 22
n(MnCnP) = 14
No. of students who had taken only Math :
= n(M) - [n(MnP) + n(MnC) - n(MnCnP)]
= 64 - [28+26-14]
= 64 - 40
= 24
No. of students who had taken only Chemistry
= n(C) - [n(MnC) + n(CnP) - n(MnCnP)]
= 94 - [26+22-14]
= 94 - 34
= 60
No. of students who had taken only Physics
= n(P) - [n(MnP) + n(CnP) - n(MnCnP)]
= 58 - [28+22-14]
= 58 - 36
= 22
Total no. of students who had taken only one course
= 24 + 60 + 22
= 106
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