Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
A chess player played 44 chess games total. If he won 16 games, what is the ratio of the games. He lost to games he won
find the solutions of the quadratic equation.-x^2+7x-14=0
Answer:
Step-by-step explanation:
x =(-7+√-7)/-2=(7-i√ 7 )/2= 3.5000+1.3229i
or:
x =(-7-√-7)/-2=(7+i√ 7 )/2= 3.5000-1.3229i
On Saturday morning, Ahmed decided to take a bike ride from one end of the 15-mile bike trail to the other end of the bike trail and back. His average speed the first half of the ride was 2 mph faster than his speed on the second half. Find an expression for Ahmed's total travel time. If his average speed for the first half of the ride was 12 mph, how long was Ahmed's bike ride?
The expression which relates the total time taken and the time taken for the trip is [15s + 15(s+2)] / s² + 2s and 2.32 hours respectively.
Travel time = distance ÷ speed
Second half of the trip :
Speed = s mph Distance covered = 15 milesTime taken for second half of trip :
Time taken = 15 / s
First half of the trip :
Speed = s + 2 mphTime taken for first half of trip :
Time taken = 15 / (s+2)
Total time taken :
First half + second half
15/(s+2) + 15/s = [15s + 15(s+2)] / s² + 2s
B)
If s = 12
Substitute s = 12 into the expression :
[15(12) + 15(12+2)] / 12² + 2(12)
[180 + 210] / 144 + 24
390 / 168
= 2.32 hours
Therefore, the total time taken is 2.32 hours.
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Let f(x) = 3x2 + x − 3 and g(x) = x2 − 5x + 1. Find f(x) − g(x).
2x2 − 4x − 2
2x2 − 4x − 4
2x2 + 6x − 2
2x2 + 6x − 4
Answer:
D) 2x^2 + 6x - 4
Step-by-step explanation:
I took the quiz and got a 100%
May I please receive help?
Answer:
you may
2x+15+4x+21=90 simplified is 6x+36=90
m<a=33º
m<b=90º
m<c=57º
Step-by-step explanation:
6x+36=90
6x=54
x=9
2(9)+15=33
4(9)+21=57
the net force on a
rock with a mass of 20 kg is
19.6 N. What is the accelera-
tion of the rock?
A certain star is 2.6×102 light years from the Earth. One light year is about 5.9×1012 miles. How far from the earth (in miles) is the star?
WILL GIVE BRAINLIEST
Answer:
2.5 x [tex]10^{15}[/tex] miles
Answer:
265.2 and 5970.8
Step-by-step explanation:
According to the graph, what is the value of the constant in the equation below?
Answer:
0.8
Step-by-step explanation:
just use guess and check. Divide each of the constants by the width of one point. When you find a constant that matches, try that out with all the other widths, if it works with the other widths, then you found the right constant!
In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
Solve for x and y. (Geometry)
Can you also show the steps of how u did it
Answer:
y = 10
x = 25
Step-by-step explanation:
From the U theorem the sum of these two angles 120+2x+y = 180
same goes for the bottom part too:
2x-y+140 = 180 now add two equations up
120+2x+y + 2x-y+140 = 180 + 180 add like terms (-y will eliminate +y)
4x + 260 = 360 subtract 260 from both sides
4x = 100 divide both sides by 4
x = 25 since the sum of 2x-y+140 = 180 we can find the value of y by replacing x with 25
2*25 - y + 140 = 180
50 - y + 140 = 180 add like terms
190 - y = 180 subtract 190 from both sides
-y = -10 and y = 10
How to increase 78 by 80%
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I just want to understand what this could be as a fraction and as a decimal?
The parking lot at a grocery store has 90 cars in it. 30% of the cars are two-toned. How
many cars are two-toned?
27
if 90 is 100% and we have to find 30% we have to do this:
(90 * 30) / 100 = 27
two toned cars are 27
Describe the translation of the point to its image. (-2,-3) to (-2,4)
Up 8 Units, Hope this helps :)
.Write 3.4 · 10-4 in standard form
Answer: 0.00034
Step-by-step explanation: 10^-4 would move the decimal left four times.
Ryan has 15 meters of stereo wire He used 7/8 of the wire to hook his new speakers. How much wire did he use?
Answer:
13.125 meters
Step-by-step explanation:
7/8 times 15
If I have a 77 and i get 100 added to my grade what will my final score be?
Answer:
Most likely a B.
Step-by-step explanation:
This depends on how much the test was of your grade.
How is email a useful component of online banking?I. Email alerts can be used to warn you before you overdraw your account.II. You can have your bank statements emailed to you, getting them to you faster.III. Only emailed bank statements can be used to support electronically-filed tax returns.a.I onlyb.II onlyc.I and II onlyd.I, II, and III
Answer:
c
Step-by-step explanation:
What is the distance between 3 and 1?
Answer:
2
Step-by-step explanation:
Answer: 2
Step-by-step explanation:
HELP HELP HELP HELP HELP HELP
Problem 1
I'm assuming your teacher means "list all the possible rational roots".
If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.
Factors of 5: 1, 5Factors of 3: 1, 3If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:
1/1, 1/3, 5/1, 5/3
That list simplifies to
1, 1/3, 5, 5/3
That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well
-1, -1/3, -5, -5/3
Answer: 1, -1, 1/3, -1/3, 5, -5, 5/3, -5/3Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.
============================================================
Problem 2
We'll follow the same idea as the previous problem
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 4: 1, 2, 4
To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.
For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.
As the second table shows, we have a few repeats. The unique items here are:
1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4
We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.
Answer: 1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4-1,-2,-3,-4,-6,-9,-12,-18,-36,-1/2,-3/2,-9/2,-1/4,-3/4,-9/4============================================================
Problem 3
Factors of 15: 1, 3, 5, 15Factors of 5: 1, 5Divide the factors of 15 over the factors of 5 to get
1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5
That list reduces to
1, 1/5, 3, 3/5, 5, 1, 15, 3
we can then toss out the duplicates to get
1, 3, 5, 15, 1/5, 3/5
Don't forget to include the negative values as well
Answer: 1, 3, 5, 15, 1/5, 3/5-1, -3, -5, -15, -1/5, -3/5============================================================
Problem 4
The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.
Answer: 1, 3, 9, 1/2, 3/2, 9/2-1, -3, -9, -1/2, -3/2, -9/2============================================================
Problem 5
There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Don't forget the negative values as well
Answer:1, 2, 4, 5, 8, 10, 20, 40-1, -2, -4, -5, -8, -10, -20, -40corrine has 9.6 pounds of trail mix to divide into 12 bags. how many pounds of trail mix will go in each?
Answer:
0.8 pounds
Step-by-step explanation:
Divide 9.6 pounds by 12 bags = 0.8 pound per bag
Answer:
0.8 lbs per bag
Step-by-step explanation:
9.6 / 12 = 0.8
Answer: 0.8
expand and simplify (x-7)^2
Answer:
x² - 14x + 49
Step-by-step explanation:
Simplifying (x-7)²:
(x-7)²
= (x-7)(x-7)
= x(x-7) - 7(x-7)
= x² - 7x - 7x + 49
= x² - 14x + 49
Hope this helps and be sure to have a wonderful time ahead at Brainly! :D
what is [4(30-5)]÷10/2
Answer:
5
Step-by-step explanation:
I think ;- ; sorry
Answer:
0.0032
Step-by-step explanation:
start with [4(30-5)]/10/2
simplify to get:
[4(25)]/10/2
simplify to get:
0.16/10/2
simplify to get:
0.016/5
simplify to get your answer:
0.0032
Hi pls help me ILL GIVE BRAINLIEST TO WHO ANSWERS CORRECTLY
Answer:
Linear pair
Step-by-step explanation:
∠6 and ∠7 are linear pair angles.
The product of twice a number and four is the same as the difference of seven times the number and 2/7 Find the number.
Answer:
the number is -2/7
Step-by-step explanation:
let the number be x
2x ×4= 7x-2/7
8x = 7x-2/7
collect like terms
8x-7x = -2/7
X= -2/7
Plz answer this question
I believe the answer is B 3/4
THIS IS NOT A SCAM LINK ITS REAL
https://brainly.in/question/27761729
Can anyone help me, I can’t find the answer.
Answer:
(p = 2) = -2
Step-by-step explanation:
Convert the speed of sound 767 miles per hour to meters per hour. [1000
meters = 0.62 miles]
A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is
Answer:
15%
Step-by-step explanation:
4590 = 5400 - D% × 5400
4590 = 5400 - D/100 * 5400
4590 = 5400 - 54D
54D = 5400 - 4590
D = 810 / 54
D = 15%
Dont forget to give me the brainliest.
Please help!!!!!!! I only have 20 minutes left!!
Step-by-step explanation:
You need to find the total number of students the pie chart will represent:
17 + 35 + 38 = 90
So you know, 360° represents 90 people
You can then find out the angle for each person: 360 ÷ 90 = 4
Each person is 4°
a)
1. 17 people took French so you would do 4° × 17 = 68°
2. 35 people took German so you would do 4° × 35 = 140°
3. 38 people took Italian so you would do 4° × 38 = 152°
b)
17 out of 90 people chose french so the probability would be 17/90