Answers
Answer:
Step-by-step explanation:
1) 6 and -5
x₁ + x₂ = 6 +(-5) = 1
x₁* x₂ = 6*(-5) = -30
x² -(x₁ + x₂)x + (x₁* x₂)=0
x² - x - 30 = 0
2) 4 and 7
x₁ + x₂ =4 + 7 = 11
x₁* x₂ = 4*7 = 28
x² - 11x + 28 = 0
3) 1 and -10
x₁ + x₂ = 1 +(-10) = -9
x₁* x₂ = 1*(-10) = -10
x² - 9x - 10 = 0
4) -9 and 0
x₁ + x₂ = -9 + 0 = -9
x₁* x₂ = 0
x² - (-9)x = 0
x² + 9x = 0
5)2 and 6
x₁ + x₂ = 2 + 6 = 8
x₁* x₂ = 2*6 = 12
x² -8x + 12 = 0
8) 2 +√3 and 2 - √3
x₁ + x₂ = 2+ √3 + 2 - √3 = 4
x₁* x₂ = (2 + √3)(2 - √3) = 2² - (√3)² 4 - 3 = 1
x² - 4x + 1 = 0
Related Questions
Expand 3(2y+1)
Answer this, please.
Answers
Answer:
6y + 3
Step-by-step explanation:
Hope it helps!!
my baby chickie is chuuu pretty
Answers
Answer:
Don't quite see how this should fall into the mathematics category
What is the volume of the rectangular prism shown
Answers
And then multiply this by 1 and 3/4 (or 7/4), which will give you the volume of 7/32 in.
40 percent of 37,500
Answers
Answer: 15,000
Step-by-step explanation:
40 percent *37500
= (40/100)*37500
= (40*37500)/100
= 1500000/100 = 15,000
Doreen uses 13 apples for every 2 pies she bakes. How many will she use for 12 pies
Answers
Answer:bbbbb
Step-by-step explanation:
sssđs
Given : 13 apples for every 2 pies
We know that : 12 = 2 × 6
Therefore, the number of apples will be 13 × 6 = 78
So, the answer is 78
One of the cutting machines is shut down for repairs. How many parts can the remaining machines cut in 4 1/2 hours?
Answers
Answer:
the answer is sike not telling you
Step-by-step explanation:
-3y+15 2y+4
_____ = ______
6 7
Answers
This yields: 7(-3y+15)=6(2y+4)
-21y+105=12y+24
105-24=12y+21y
81=33y
Y=27/11
A circle is placed in a square with a side length of 18cm, as shown below. Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
92658
Step-by-step explanation:
jdbshe hzvx
nxgsbdxyxbhxgx6666
3p=19 helppppppppppppp
Answers
Answer:
p= 6.33333333333
Step-by-step explanation:
U divide 19/3 to get the value of p
Hope this helps :)
Can u plz mark me as brainliest plz? :)
There are 40 runners in a race. How many ways can the runners finish first, second, and third?
Answers
Answer:
117600
Step-by-step explanation:
50 x 49 x 48 = 117,600 ways
You have 50 possible for 1st, 49 for 2nd, 48 for 3rd
or
Permutations 50P3 = 117,600
There are total 59280 ways that can the runners finish first, second and third in a race.
What is permutation?
A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
Formula for permutation[tex]nP_{r} =\frac{n!}{(n-r)!}[/tex]
Where,
[tex]nP_{r}[/tex] is permutation.
n is total number of objects.
r is number of objects selected.
According to the given question
Total number of runners, n = 40
Total number of runners to be selected for first, second and third position is 3 i.e. r = 3
Therefore,
The number of ways can the runners finish the first, second and third is given by
[tex]40P_{3} = \frac{40!}{((40-3)!} =(40)(39)(38)=59280[/tex]
Hence, there are total 59280 ways that can the runners finish first, second and third in a race.
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Please explain this step by step.
5+4(n+9)=-3
Answers
Answer:
n = -11
Step-by-step explanation:
5 + 4(n + 9) = -3,
5 + 4n + 36 = -3,
41 + 4n = -3,
4n = -44,
n = -11
As part of an environmental impact study, a power company wants to estimate the difference in mean water temperature between the discharge of its plant and the offshore waters. How many sample measurements must be taken at each site to estimate the true difference between means to within .2°C with 95% confidence? Assume that the standard deviation in readings is about 1.5°C at each site and the same number of readings will be taken at each site.
Answers
Using the z-distribution, it is found that 217 sample measurements should be taken at each site.
The margin of error of a z-confidence interval is given by:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which:
z is the critical value. [tex]\sigma[/tex] is the population standard deviation. n is the sample size.The first step is finding the critical value, which is z with a p-value of [tex]\frac{1 + \alpha}{2}[/tex], in which [tex]\alpha[/tex] is the confidence level.
In this problem, [tex]\alpha = 0.95[/tex], thus, z with a p-value of [tex]\frac{1 + 0.95}{2} = 0.975[/tex], which means that it is z = 1.96.
Estimate of the standard deviation of 1.5, thus, [tex]\sigma = 1.5[/tex].
We want the sample for a margin of error of 0.2ºC, thus, we have to solve for n when [tex]M = 0.2[/tex].
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.2 = 1.96\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.2\sqrt{n} = 1.96(1.5)[/tex]
[tex]\sqrt{n} = \frac{1.96(1.5)}{0.2}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96(1.5)}{0.2})^2[/tex]
[tex]n = 216.1[/tex]
Rounding up:
217 sample measurements should be taken at each site.
A similar problem is given at https://brainly.com/question/17039768
What is the equation of the line in slope intercept form write your answer using integers, proper fractions, and improper tractions in simplest form
Answers
Answer:
y = 2x - 1
Step-by-step explanation:
To find out the equation of the line, you will always need the following information in order to determine the linear equation in slope-intercept form, y = mx + b:
1. 2 sets of ordered pairs (x, y)
2. Slope (m)
3. Y-intercept (b)
First, we need to choose 2 points from the graph to solve for the slope:
Let (x1, y1) = (0, -1)
(x2, y2) = (3, 5)
Substitute these values into the following slope formula:
[tex]m = \frac{y2 - y1}{x2 - x1} = \frac{5 - (-1)}{3 - 0} = \frac{5 + 1}{3} = \frac{6}{3} = 2[/tex]
Therefore, the slope (m) = 2.
Next, we need the y-intercept, (b). The y-intercept is the y-coordinate of the point where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0. The y-coordinate of the point (0, -1) is the y-intercept. Hence, the y-intercept (b) = -1.
Given our slope, m = 2, and the y-intercept (b) = -1, the linear equation is:
y = 2x - 1
Please mark my answers as the Brainliest if you find my explanations/solution helpful :)
Find the mean for this series of numbers.
15 40 10 40 30
mean =
Answers
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135.
135÷5 I.e the total average of the number.
135÷5=27
Answer:
27
Step-by-step explanation:
15+40+10+40+30=135
135/5
Because 5 is the number of numbers
=27
In ∆PQR, m P = 60°, m Q = 30°, and m R = 90°. Which of the following statements about ∆PQR are true? Check all that apply.
A. PQ = √3 • PR
B. PQ = 2 • PR
C. QR = 2 • PR
D. QR = √3/2 • PQ
E. QR = √3 • PR
F. PR = √3/2 • PQ
Answers
Answer:
C. QR = 2 • PR
Step-by-step explanation:
According to given information we can draw a right triangle with angle measures as follows :
30-60-90 and for this special right triangle the side length would follow as:
The side length that sees angle measure 30 = a
The side length that sees angle measure 60 = a[tex]\sqrt{3}[/tex]
The side length that sees angle measure 90 = 2a
following this information the:
PR(sees 30 degrees) = a (can be represented as PR in this case)
and so
QR(sees 90 degrees) = 2a (2*PR in this case)
PQ(sees 60 degrees) = a[tex]\sqrt{3}[/tex] ([tex]\sqrt{3}[/tex] *PQ in this case)
The correct option is C. QR = 2 • PR
4. Lincoln began his speech, “Four score and seven years ago....” How many years is four score and seven? (Hint: A score is 20 years.) Can someone help me?
Answers
Martina runs 3 miles in 25 minutes. At the same rate, how many miles would she run in 20 minutes?
Answers
Answer:
2 and a half mile
Step-by-step explanation:
As she runs three miles in 25 minutes so she can run 2 and a half miles in 20 minutes because she needs five minutes to complete the third mile
this helps!
.........................
Answers
Step-by-step explanation:
→ (1.2*(10^57)) + 1.2*(10^56) → 1.32e+57→ 1.32 × 10^57 1.(drag) → 1.32 and 2. (drag) → 57» 1.32e+57
you and your freind are going on a camping trip.you each buy a backpackthat cost $90 and a sleeping bag that costs $60.what is the total cost of the camping eqiptment?
Answers
Answer:
$300
Step-by-step explanation:
90 x 2 = 180
60 x 2 = 120
120 + 180 = 300
please i need help asap
Answers
Answer:
yeah f(x) = 2
Step-by-step explanation:
because there is no x and f(x) is on positive 2
Blake can paint a room in 9 hours, Ned can paint the same room in 6 hours, how long to paint the room together
Answers
Will mark BRAINLIEST IF U ANSWER!:
Answers
Answer:
-4.62962962963
Step-by-step explanation:
help-
i dont remember how to do this or what the answer would be
Answers
Answer:
I'm no 100% sure but,
A triangle is 360⁰
So 65 +47 =112
180-112=68
two opposite angles are always equall so
x=68⁰
Sorry if I'm wrong!
Find the volume of the composite solid. Round your answer to the nearest hundredth.
Answers
700 cubic inches
Step-by-step explanation:
is known :
r = 5 inh = 9 inV = πr²h
V = 3.14 · 5² · 9
V = 3.14 · 25 · 9
V = 78.5 · 9
V = 706.5 cubic inches → Round to the nearest hundredth
V ≈ 700 cubic inches
The Volume of Cylinder is 1271.7 in³.
What is volume of Cylinder?The volume of a cylinder is the amount of space that it occupies. It is a measure of the total capacity or content enclosed by the cylindrical shape.
The formula for calculating the volume of a cylinder is:
Volume = πr²h
We have, Radius= 5 in
Height= 9 inch
So, the Volume of Cylinder
= πr²h
= 3.14 x 5 x 5 x 9
= 3.14 x 5 x 81
= 3.14 x 405
= 1271.7 in³
Thus, the Volume of Cylinder is 1271.7 in³.
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A.answer the following:
1.what is the common ratio of the following G.P.
a.4,3,9/4..... c.-10,-2,-2/5,-2/27
b.1,-6,36...... d.0.03,0.3,3...
2.find the missing term 120,60,30,__ , __
3.given the G.P.5,10,20......what is the 10th term?
Answers
Answer:
30
Step-by-step explanation:
took test
please help teacher mean
Answers
10 8/21 — simplified
10.380952 — decimal this repeats :)
Gregory has a credit card with a 30-day billing cycle and an APR of 11.95%. The following table shows Gregory’s credit card transactions for the month of April.
Date
Amount ($)
Transaction
4/1
622.82
Beginning balance
4/4
45.45
Payment
4/10
78.91
Purchase
4/25
16.36
Purchase
Between the adjusted balance method and the daily balance method, which method of computing Gregory’s April finance charge will result in a greater finance charge, and how much greater will it be?
a.
The daily balance method will have a finance charge $0.09 greater than the adjusted balance method.
b.
The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.
c.
The adjusted balance method will have a finance charge $1.40 greater than the daily balance method.
d.
The adjusted balance method will have a finance charge $0.86 greater than the daily balance method.
Answers
Answer:
✅B. The daily balance method will have a finance charge $0.54 greater than the adjusted balance method.i got it right on test⬇️
What is an equivalent expression for 6x6x3x3x3x3
Answers
Please please help me I will give you brainless please
Answers
Answer:
[tex]f(x) = 2x - 1 \\ g(x) = 3x \\ h(x) = {x}^{2} + 1 \\ f( g(x)) = 2(3x) - 1 = 6x - 1 \\ f( g( - 3)) = 6( - 3) - 1 = - 19 \\ h(f(x)) = {(2x - 1)}^{2} + 1 \\ h(f(0)) = {(2(0) - 1)}^{2} + 1 \\ h(f(0)) = 2[/tex]
help plssss !!! I need help with this I've been struggling
Answers
Answer:
362.984 could be the answer but don't judge me I could be wrong.
Step-by-step explanation:
I'm not 100% sure.
From what I've been taught, they're asking for the amount of snow in cm that is melting per minute.
What I did:
I input 17 where r is in the equation for Volume. I solved it and got the answer: 20579.52628 > Rounded to nearest 10th > 20579.5
I then took that number and multiplied it by 0.1 and got: 2057.95
This is most likely incorrect based on the numbers that were given, but it should help to know that how to solve for Volume.