PLS HELP!! I THIS IS WORTH 200 PTS!! I WILL MARK BRAINIEST WHEN SOMEONE ANSWERS FIRST
Answers
Expression: 5z² - 2z + 1 = 0
Discriminant formula: b²- 4ac
Identify: a = 5, b = -2, c = 1
Solve for discriminant: (-2)²- 4(5)(1) = 4 - 20 = -16
15)1st equation: 1m - 1p = 2p = 1 also can be rewritten as 2nd equation: 0m + 1p = 1
Build Augment Matrices by taking coefficient's:
[tex]\left[\begin{array}{ccc}1&-1&|| \ \ 2\\0&1&|| \ \ 1\end{array}\right][/tex]
Solve:
Add row 2 to row 1 : R₁ = R₁ + R₂ and restore it back
[tex]\rightarrow \ \left[\begin{array}{ccc}1+0&-1+1& \ \ \ \ || \ 2+1\\0&1&|| \ \ 1\end{array}\right][/tex]
[tex]\rightarrow \ \left[\begin{array}{ccc}1&0& || \ \ 3\\0&1&|| \ \ 1\end{array}\right] \ \ \ = The \quad reduced \quad matrix[/tex]
Solution = (m, p) = (3, 1)
Answer:
14. -16
15. m = 3 and p = 1
Step-by-step explanation:
Question 14Discriminant
[tex]b^2-4ac\quad\textsf{when}\quad ax^2+bx+c=0[/tex]
Given equation: [tex]5z^2-2z+1=0[/tex]
Therefore:
a = 5b = -2c = 1Substituting the values into the discriminant:
[tex]\begin{aligned}\implies b^2-4ac & = (-2)^2-4(5)(1)\\& = 4-20\\& = -16\end{aligned}[/tex]
As the discriminant is negative, this implies there are no real roots.
Question 15Augmented Matrices
[tex]\begin{array}{c}ax+by=p \\cx+dy=q\end{array} \implies \left[\begin{array}{r r | r}a & b & p \\ c & d & q\end{array}\right][/tex]
Use elementary row operations to convert into:
[tex]\left[\begin{array}{r r | r}1 & 0 & h \\ 0 & 1 & k\end{array}\right] \implies \begin{array}{r}x=h\\y=k\end{array}[/tex]
Given:
[tex]\begin{aligned}m-p & =2\\ p & = 1\end{aligned} \implies \left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right][/tex]
[tex]\left[\begin{array}{r r | r}1 & -1 & 2 \\ 0 & 1 & 1\end{array}\right] \begin{array}{c}R_1 + R_2 \rightarrow R_1 \\\rightarrow\end{array} \left[\begin{array}{r r | r}1 & 0 & 3 \\ 0 & 1 & 1\end{array}\right][/tex]
Therefore:
[tex]m=3[/tex]
[tex]p=1[/tex]
Related Questions
find the probability of a freshman being called on in class if there are 12 sophomores, 10 juniors, 14 seniors, and 8 freshmen.
Answers
Answer:
18%
Step-by-step explanation:
8/44
Answer:
18% or 8/44
Step-by-step explanation:
add 12+10+14+8=44 then do 8/44
Multiply.
(−8)⋅(−15)⋅(4)
Enter your answer in the box.
Answers
Answer:
la respuesta es 480
Step-by-step explanation:
(-8)(-15)=8*15=120
120*(4)
480
(-8)*(-15)*(4)=480
Step-by-step explanation:
(-8)*(-15)*(4)=480
Last school year, trent kept track of the amount of time he spent on homework each night. this box plot shows the results. time spent on homework (min.) 20 40 60 80 100 120 what percent of the time did trent spend at least 80 minutes on homework?
Answers
The percentage of time spend at least 80 minutes on homework will be 66.66%.
What is the percentage?The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.
Given that:-
The time he spent on homework each night. this box plot shows the results.
The time spent on homework (min.) 20 40 60 80 100 120.
The percentage will be calculated as:-
Maximum time spent = 120 minutes
The percentage for 80 minutes of homework will be:-
= 120 / 80
= 0.66=66 = 66.66%
Therefore the percentage of time spend at least 80 minutes on homework will be 66.66%.
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Answer: 25%
Step-by-step explanation:
need help on this geometry problem
Answers
Select the correct answer from each drop-down menu.
Three students used factoring to solve a quadratic equation.
x²+17x+72=12.
Jordan's Solution x² + 17x + 72 = 12, (x + 8)(x + 9)= 12, x+8=12 & x+9=12
Keith's Solution x² + 17x + 72 =12, x² + 17x +60 =0, (x +5)(x +12) =0 x + 5 = 0 & x + 12 =0.
Randall's Solution x² +17x +72 = 12,x2 +17x = -60,x(x +17) = -60, -60 & x +17 = -60.
he equation was solved correctly by ____. The solutions of the equation are____.
Answers
Answer:
Keith's Solution-5-12Step-by-step explanation:
x + 5 =0 & x + 12 =0
:- x = -5 & -12
What is the equation?
Answers
There is no answer? So how am I supposed to answer it?
Answer:
Yeah How am I supposed to answer it?
Step-by-step explanation:
Two runners are saving money to attend a marathon. the first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. the second runner has $50 in savings and will save $60 each month. which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money? 112 – 25m 45 = 50 – 60m 112 25 45m = 50m 60 112 25 – 45m = –50m 60 112 25m 45 = 50 60m
Answers
The equation that we need to solve is:
$157 + $50*m = $50 + $60*m
And the solution is m = 10.7 months.
Which equation models the situation?For the first runer we have a initial amount of $112 + $45 = $157 plus $50 per month, so we can write:
f(m) = $157 + $50*m
And the second runner has an initial amount of $50 and saves $60 per month, so we can write the linear equation:
g(x) = $50 + $60*m
They will have the same amount of money when:
f(x) = g(x)
$157 + $50*m = $50 + $60*m
$107 = $10*m
$107/$10 = m = 10.7
So, after 10.7 months, both accounts will have the same money.
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21. The solution(s) is/are b =
Please help me solve this
Answers
Answer:
b = -4, 0
Step-by-step explanation:
Given :
b² + 4b = 0Take b as a common factor.
b(b + 4) = 0Solutions
b = 0b + 4 = 0 ⇒ b = -4b = -4, 0Answer:
b = - 4, b = 0
Step-by-step explanation:
b² + 4b = 0 ← factor out b from each term
b(b + 4) = 0
equate each factor to zero and solve for b
b = 0
b + 4 = 0 ⇒ b = - 4
help fast i need this before 8
Answers
[tex]~~~~(5x-18)+(4x+45) = 180\\\\\implies 9x+27=180\\\\\implies 9x = 180-27\\\\\implies 9x = 153\\\\\implies x = \dfrac{153}9\\\\\implies x = 17[/tex]
Hello student!
We are given two angles that are right next to each other and are formed off of a 180 degree angle. These two angles are known as supplementary angles which means that the two angles add up to 180 degrees. Using that information we can create an equation to help us find x.
[tex]Angle_1 + Angle_2 = 180[/tex]
[tex](5x - 18) + (4x + 45) = 180[/tex]
We now have a functioning equation which we can use to determine x. The first step that we have is to combine like terms which means to add together numbers which the same variables. In this case 5x and 4x would add together and -18 and 45 would also add together.
[tex](5x - 18) + (4x + 45) = 180[/tex]
[tex](5x + 4x) + (-18 + 45) = 180[/tex]
[tex]9x + 27 = 180[/tex]
Now we are down to the final steps which is just some algebra. The first step that we need to do is subtract 27 from both sides which will remove the excess numbers from the left side.
[tex]9x + 27 - 27= 180- 27[/tex]
[tex]9x = 153[/tex]
The second step that we will need to do is divide both sides by 9 which will help us isolate x and give us our final answer.
[tex]\frac{9x}{9} = \frac{153}{9}[/tex]
[tex]x=17[/tex]
Therefore, our final answer is that x is equal to 17.
somebody please help me?
Answers
Answer:
Step-by-step explanation:
Comment
There are 9 marbles all together.
2 are green4 are red3 are blueThe important fact is that he draws 1 marble to begin with and does not replace it. That means that the next marble is out of 8.
Solution
First marble: Blue = 3/9 = 1/3
Second marble: Green 2/8 = 1/4
The probability of that happening is
P(blue,Green) = 1/3 * 1/4 = 1/12
Answer P(blue, green) = 1/12
Mona's bank charges a $10 fee per month plus a $0.12 fee per check. The formula below gives f, the total fee in dollars for a month in which Mona writes n checks.
f=10+0.12n
How many checks did Mona write during a month in which her total fee was $12.52?
Answers
Answer: Mona wrote 21 checks during a month where her total fee was $12.52
Step-by-step explanation:
f = 10 + 0.12n
12.52 = 10 + 0.12n
[tex]\frac{2.52}{0.12}[/tex] = [tex]\frac{0.12n}{0.12}[/tex]
n = 21
Mona wrote 21 checks during a month where her total fee was $12.52
6) What will be the new position of the given
point (0, 6) after translation of 6 units down
and 3 units right?
a) (6, 3)
b) (3, 0)
c) (-6, 3)
d) (-3,0)
Please help omg
Answers
Translating 6 units down - 6-6=3
Translating 3 units right - 0+3=3
Solve for the variable:
√5-x= √6-x
Answers
Answer:
There are no solutions. this equation seems wrong
Step-by-step explanation:
What is the sum of the angles in the image?
50°
66°
86°
76°
Answers
Answer: Choice D) 76
Explanation:
"Sum" means we add the numbers
63+13 = 76
Answer:
D
Step-by-step explanation:
63+13= 76 because sum is add :)
What is the equation of a line that has an x-intercept of 5 and a slope of 4?
Answers
Answer:
y=4x-20
Explanation:
Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.
Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20
X | Y
6 | 4
5 | 0
0 | -20
Hope this Helps!
please hepl will give brainly, 30 points
Answers
Answer:
∠G = 53°
∠H = 90°
∠I = 37°
Step-by-step explanation:
∠H = 90° because it is a right angle and all right angles = 90°
The sum of all angles in a triangle = 180°
∠H + ∠G + ∠I = 180°
90° + (5x - 7)° + (3x + 1)° = 180°
5x - 7 + 3x + 1 = 90° Subtract 90° from both sides
8x - 6 = 90 Adding like terms
8x = 96 Adding 6 to both sides
x = 12 Dividing both sides by 8
Now solve for ∠G and ∠I using 12 as the value for x
∠G = (5x - 7)° ∠I = (3x + 1)°
∠G = 5·12 - 7 ∠I = 3·12 + 1
∠G = 53° ∠I = 37°
Riya's biking app says that she rides at a speed of 5 miles per hour.
At this speed, how far does Riya ride in 1 hour?
At this speed, how far does Riya ride in 3 hours?
Write an equation for the relationship between Riya's distance biked, d,and time t
Answers
Answer:
Step-by-step explanation:
Formula
d = speed * time
d = s * t
Givens
t = 1 hour
t2 = 3 hours
s = 5 miles / hour
Solution
t = 1 hour
d = s * t
d = 5 mph * 1 hour
d = 5 miles
t = 3 hours
d = s * t
d = 5 miles / hour * 3 hours
d = 15 miles
Answer
d = s * t
d = 5 miles
d = 15 miles
WILL GIVE 100 POINTS TO WHO ANSWERS THESE!!! Questions in Pictures.
Polynomials and Factoring
Answers
Assuming that you want the product of the two factors given in each problem:
⇒ we solve this problem by timing each unit of a factor to every unit
of the other factor
⇒then add each one of them who shares a common like-term
⇒to get the answer
Let's solve:
Question 9:[tex](4m+n)(m-2n)=4m*m+(-2n)*4m+n*m+n(-2n)\\=4m^2-7nm-2n^2[/tex]
Question 12[tex](2a-4b)(7a-2b)=2a*7a+(-2b)(2a)+(-4b)7a+(-4b)(-2b)\\=14a^2-4ab-28ab+8b^2\\=14a^2-32ab+8b^2[/tex]
Question 15[tex](4m+1)^2=(4m+1)(4m+1)=4m*4m+4m*1+1*4m+1\\=16m^2+4m+4m+1\\=16m^2+8m+1[/tex]
Question 18[tex](2w+1)(2w-1)=2w*2w+2w(-1)+1*(2w)+1(-1)\\=4w^2-1[/tex]
Question 21:[tex](m+3)(m^2+4m+7)\\=m*m^2+m*4m+m*7+3m^2+3*4m+3*7\\=m^3+4m^2+7m+3m^2+12m+21\\=m^3+7m^2+19m+21[/tex]
Question 24:[tex](3x+2)(5x^2-12x-2)\\=3x*5x^2+3x(-12x)+3x(-2)+2(5x^2)+2(-12x)+2(-2)\\=15x^3-36x^2-6x+10x^2-24x-4\\=15x^3-26x^2-30x-4[/tex]
Hope that helps!
HELP PLS I'LL MARK U BRAINLISTT
Answers
Answer:
KM = 7
LM = 7
KL = 11
Step-by-step explanation:
Isosceles triangles have 2 congruent sides (in this case they are KM and LM
This means 4d-13 = 12-d
We can now solve for d
4d-13 = 12-d | add d to both sides
5d-13 = 12 | add 13 to both sides
5d = 25 | divide both sides by 5
d = 5
Now we can solve for the 3 sides of triangle KLM
KM = 7
LM = 7
KL = 11
That is your answer
- Kan Academy Advance
help please!! ⬇️⬇️
find the volume
Answers
What is the longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide, and 11cm tall?
Answers
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
What is a right rectangular prism?A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
[tex](diagonal)^{2}[/tex] = [tex](length)^{2}[/tex] + [tex](width)^{2}[/tex]
[tex](diagonal)^{2}[/tex] = [tex](14)^{2}[/tex] + [tex](13)^{2}[/tex]
= 196 + 169 = 365
[tex](diagonal)^{2}[/tex] = 365
diagonal = [tex]\sqrt{365}[/tex] = 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
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Samuel bought an 8-ounce bag of lettuce and a 1-pound bag of carrots. what is the total weight of the lettuce and carrots in ounces?
Answers
Answer:
the answer is 10z
Step-by-step explanation:
7+1=8
8+2=10
10z
Monica walks 2 miles each day Monday through Friday. She walks 3 miles on Saturday. She does not walk on Sunday. Monica calculates that she will have walked 127 miles after 29 weeks.
What is an estimate for the number of miles that Monica will have walked after 29 weeks? Is her original calculation reasonable?
A: 137; her original calculation is reasonable
B: 145; her original calculation is not reasonable
C: 310; her original calculation is reasonable
D: 390; her original calculation is not reasonable
Answers
Answer:
390, since the answer I got was 377, and we are estimating so that’s the best estimate.
can someone help me pls
Answers
Answer:
90
Step-by-step explanation:
Formula : 180 ( n - 2 ) / n n being the amount of sides
180 ( 4 - 2 ) / 4 = 90
I'm in 7th grade and am doing high school math! Help!
Answers
Answer:
Step-by-step explanation:
(x - 5)(x + 2) = 0
x - 5 = 0
x = 5
x + 2 = 0
x = -2
x = 5, -2
Mrs. gellar works at a diner. at the end of
her shift, she was putting away pies in the
display case. there were 5 pies, and of 3/8
each pie left. what fraction of the pies did
mrs. gellar put away?
Answers
Here is a list of Numbers:
8 7 12 7 11 10 7 12
Find:
a) median
b) range
c) mode
Answers
The median, mode and range of the numbers are 9, 5 and 7 respectively.
How to find median, range and mode?
The median is the middle number when the data is arranged in ascending order.
Therefore,
7, 7, 7, 8, 10, 11, 12, 12
median = 8 + 10 / 2 = 18 / 2 = 9
median = 9
The range is the largest number minus the smallest number.
Therefore,
range = 12 - 7 = 5
range = 5
The mode is the number that appears most. Therefore,
mode = 7
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please help me answer this question
Answers
Answer:
The answer is21
If n is an integer, what is the possible value of n for which 1,116n is the square of an integer? Explain.
E. 24
F. 28
G. 31
H. 33
Answers
Answer:
G.31
Step-by-step explanation:
when n = 31
1116n = 1116*31 = 34596
34596 is square of 186.
= 186^2
= 34596
and other values (24,28,33) of n does not give square during 1,116n but 31 gives.
Hence, 31 is the possible value of n for which 1,116n is the square of an integer(186).
Mr. Edwards surveyed a total of 80 students in his first three classes in order to determine the numbers of students that have pets. Out of the 30 students in his 1st period class, 12 have no pets. Eighteen of the 27 students in his 2nd period class do have pets. Fourteen of the students in his 3rd period class do have pets. Construct a two-way table summarizing the data. Write the answers as whole numbers.
Answers
Answer:
the numbers of students that have pets 44
Step-by-step explanation: