Answer:
775
Step-by-step explanation:
We are given two equations in which we can perform systems of equations by putting these two equations on top of each other then solving for one variable:
x+y=15
x-y=25
Here, we can cancel out the y variable and get:
2x=40
x=20
Then we can put the x variable into any of the equations to solve for y (in this case I will use the equation x+y=15 so 20+y=15
y=-5
Now, we can solve by plugging both variables into 2x^2 - y^2 :
2(20)^2 - (-5)^2
800-25 = 775
I hope this helps!
Answer:
775
Step-by-step explanation:
Hi there!
We are given the following system of equations:
x+y=15
x-y=25
and we need to find the value of 2x²-y²
First, let's find the value of x and y
Let's add the 2 equations together to clear y and solve for x (y-y=0)
2x=40
divide both sides by 2
x=20
Now substitute 20 as x into either one of the equations to solve for y
To do x-y=25 for instance,
20-y=25
subtract 20 from both sides
-y=5
multiply both sides by -1
y=-5
Now we know that x=20 and y=-5
Substitute those values into the expression (remember: y² is equal to y×y, or (y)²)
2(20)²-(-5)²
Raise to the second power
2(400)-(25)
multiply and open parenthesis
800-25
subtract
775
Hope this helps!
Can someone help me solve this problem please
Thankyouuuu
Answer:
in picture
Step-by-step explanation:
Brainliest please
Answer:
this is the best way for the question
Find the equation of the circle in standard form for the given center (h, k) and radius
Someone help
Answer:
3rd choice
Step-by-step explanation:
You can find the attached files
Which set of numbers includes only integers?
a.)Negative 5, negative 3 and one-fourth, 1, one-eighth
b.)Negative 3, negative 2, 2, 3
c.)Negative 6, negative 4, negative 2, negative one-half
d.)One-half, two-thirds, StartFraction 6 Over 7 EndFraction, 0
Answer:
a
Step-by-step explanation:
in integer there will negative ,positive or rational number
An automobile insurance company issues a one-year policy with a deductible of 500. The probability is 0.8 that the insured automobile has no accident and 0.0 that the automobile has more than one accident. If there is an accident, the loss before application of the deductible is exponentially distributed with mean 3000. Calculate the 95th percentile of the insurance company payout on this policy.
Answer:
y₀.₉₅ = 3659
Step-by-step explanation:
P( no accident ) = 0.8
P( one accident ) = 0
deductible = 500
mean = 3000
Determine the 95th percentile of the insurance company payout
Assuming : y =company payout , x =amount of loss incurred due to accident
Then :
P( x < 500 ) = 0.2 ( 1 - e^-500/3000)
= 0.2 ( 1 - e^-1/6 )
95th percentile =
= P( y < y₀.₉₅ ) 0.95
P( y = 0 ) = 0.8 + 0.2 ( 1 - e^-1/6 ) = 0.8307
attached below is the remainder of the solution
10 ^ (th) term for AP-5,-10,-15,..... is :-(A) -955 (B) 50 (C) -50 (D) 955
Answer:
C
Step-by-step explanation:
The nth term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 5 and d = a₂ - a₁ = - 10 - (- 5) = - 10 + 5 = - 5 , then
a₁₀ = - 5 + (9 × - 5) = - 5 - 45 = - 50 → C
Solve each system of equations by substitution. Clearly identify your solution.
Answer:
(0, 2)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Coordinates (x, y)Terms/CoefficientsSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
y = x + 2
3x + 3y = 6
Step 2: Solve for x
Substitution
Substitute in y [2nd Equation]: 3x + 3(x + 2) = 6[Distributive Property] Distribute 3: 3x + 3x + 6 = 6Combine like terms: 6x + 6 = 6[Subtraction Property of Equality] Subtract 6 on both sides: 6x = 0[Division Property of Equality] Divide 6 on both sides: x = 0Step 3: Solve for y
Substitute in x [1st Equation]: y = 0 + 2Add: y = 2Answer:
(0, 2)
Step-by-step explanation:
Since y is x + 2, we can replace y with x + 2
3x + 3y = 6
3x + 3(x+2) = 6
3x + 3x + 6 = 6
6x + 6 = 6
6x = 0
x = 0
y = x + 2
y = 2
Now we can check by replacing x with 0
3x + 3y = 6
3(0) + 3y = 6
0 + 3y = 6
3y = 6
y = 2
The 23 members of a track team are trying to raise at least $2226.00 to cover the traveling cost for a holiday tournament. If they have already raised $465.00, at least how much should each member still raise, on average, to meet the goal?
c
Question 15
1 pts
What is the sum of (3x² – 4x + 8) and
(-22 – 2x – 8) ?
2.02 - 60 + 1
o
222 - 2x
O 2x2
6x
O 2x2 + 62
Answer:
2x² - 6x
Step-by-step explanation:
(3x² - 4x + 8) + (- x² - 2x - 8) ← remove both parenthesis
= 3x² - 4x + 8 - x² - 2x - 8 ← collect like terms
= 2x² - 6x
Find the volume - leave answer in terms of π
Answer:
144[tex]\pi[/tex]
Step-by-step explanation:
Volume of a Sphere :
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]r^{3}[/tex]
V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex][tex]6^{3}[/tex]
V = [tex]\frac{4}{3}[/tex](216)[tex]\pi[/tex] (216 times 4, divided by 3)
V = 288[tex]\pi[/tex]
Now divide by 2, it's only half of a sphere.
Seo-Yun organizó una fiesta. Comprar 50 recuerditos para regalar y les dio 3 recuerditos a cada uno de sus invitados conforme llegaban a la fiesta.
Escribe una fórmula explícita para la sucesión.
g(n)=
Answer: nose
Step-by-step explanation:
This is the last question for the 12 point
9514 1404 393
Answer:
WR ≅ WX
Step-by-step explanation:
To use the SAS postulate, you need congruent sides bounding a congruent angle.
Here, side WP is one side of one of the vertical angles, ∠PWR, so you need the other side of that angle: WR. The corresponding side in triangle VWX is WX. That is, for SAS, you need WR ≅ WX.
My teacher keeps saying it’s wrong pls help, it’s question number 5
Which is an irrational number?
9514 1404 393
Answer:
A √2 is an irrational number
Step-by-step explanation:
A: √2 ≈ 1.4142135623730950488... an infinite non-repeating decimal (irrational)
B: √4 = 2 (rational)
C: ∛8 = 2 (rational)
D: √16 = 4 (rational)
5 (RootIndex 3 StartRoot x EndRoot) + 9 (RootIndex 3 StartRoot x EndRoot)
Answer:
C. 14 RootIndex 3 StartRoot x EndRoot)
Step-by-step explanation:
To obtain the sum ; the a clear explanation has been attached in the picture below ;
What is –70 divided by 700
PLZ HELP ME!!!
Answer: -0.1
Step-by-step explanation: Calculator
Hello!
-70 : 700 = -0,1 → answer
Good luck! :)
Three friends went to a book shop the first bought three bros and four pencils for $30.00. The second bought two Bros and five pencils for $27.00 . If the third bought a bro and a pencil only how much did they pay .
Answer:
total 66$
Step-by-step explanation:
let price of bro s be x and pencil be y
according to Qn
at 1 cond
3x+4=30____(1)
2x+5y=27____(2)
solve botth and get value of each bros and pencil and then at last add,30$,27$,6$,3$
If y is proportional to x, find the missing number.
A. 15
B. 12
C. 16
D. 18
HELPPP!!!!
Answer:
C. 16
Step-by-step explanation:
5 is half of 10, so 8 should be half of the next number.
Answer:
C. 16
Step-by-step explanation:
[tex] \frac{y}{x} = \frac{10}{5} = \frac{?}{8} \\ \frac{2}{1} = \frac{?}{8} [/tex]
cross multiplying
[tex]16 = ?[/tex]
so the missing number is 16
2/3 ÷ 8/9 step by step explanation...
Answer: 3/4 is the answer.
Step-by-step explanation:
(2/3)/(8/9)
(doing reciprocal)
2/3 * 9/8
= 18/24
= 6/8
= 3/4
Answer:
3/4
Step-by-step explanation:
2/3 ÷ 8/9 = 2/3 ×9/8 = (2×9)/(3×8) =3/4
Find the TWO integers whos product is -12 and whose sum is 1
Answer: -3, 4
Step-by-step explanation:
Integer #1 = xInteger #2 = yx · y = -12
x + y = 1 ⇒ y = 1 - x
Bring the y-value(1 - x) into x · y = -12:
[tex]x(1 - x) = -12 \\x-x^{2}=-12\\-x^{2}+x+12=0\\-(x^{2}-x-12)=0\\(x+3)(x-4)=0\\x=-3,x=4[/tex]
Bring the x-values into y = 1 - x and see if the values multiply to -12:
x = -3 ⇒ 1 - (-3) = 4 ⇒ 4 * -3 = -12
x = 4 ⇒ 1 -4 = -3 ⇒ -3 * 4 = -12
Arc AC is adjacent to arc CD. If arc AC measures 35 degrees and arc CD measures 45 degrees, what is the measure of arc AD according to the Arc Addition Postulate?
Answer:
80°Step-by-step explanation:
You just need to sum up the values according to arc addition postulate:
the measure of the arc formed by two adjacent arcs is the sum of the measures of the two arcsm(arc AD) = m(arc AC) + m(arc CD)m(arc AD) = 35° + 45° = 80°Now we have to find,
The measure of arc AD according to the Arc Addition Postulate.
AD is the sum of the measures of the other two arcs. Then measure of AD is,
→ AC + CD
→ 35° + 45°
→ 80° (final answer)
Hence, the measure of arc AD is 80°.
the set of all possible factors of 18, 30 and 36 then make a set of their common factors and find the H.C.F . please explain briefly
Answer:
HCF = 6
Step-by-step explanation:
Listing the factors of each number
18 is 1, 2, 3, 6, 9, 18
30 is 1, 2, 3, 5, 6, 10, 15, 30
36 is 1, 2, 3, 4, 6, 9, 12, 18, 36
common factors are 1, 2, 3, 6
the HCF is 6
What is the domain of the following function ?
Answer:
{-6, 1, 5, 8}
Step-by-step explanation:
The domain is the set of x-coordinates or inputs.
{-6, 1, 5, 8}
For the geometric series 2 + 6 + 18 + 54 + ... , find S8
Answer:
[tex]\displaystyle S_{8}=6560[/tex]
Step-by-step explanation:
We have the geometric sequence:
2, 6, 18, 54 ...
And we want to find S8, or the sum of the first eight terms.
The sum of a geometric series is given by:
[tex]\displaystyle S=\frac{a(r^n-1)}{r-1}[/tex]
Where n is the number of terms, a is the first term, and r is the common ratio.
From our sequence, we can see that the first term a is 2.
The common ratio is 3 as each subsequent term is thrice the previous term.
And the number of terms n is 8.
Substitute:
[tex]\displaystyle S_8=\frac{2((3)^{8}-1)}{(3)-1}[/tex]
And evaluate. Hence:
[tex]\displaystyle S_8=6560[/tex]
The sum of the first eight terms is 6560.
Answer:
S₈ = 6560
Step-by-step explanation:
The sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{6}{2}[/tex] = 3 , then
S₈ = [tex]\frac{2(3^{8}-1) }{3-1}[/tex]
= [tex]\frac{2(6561-1)}{2}[/tex]
= 6561 - 1
= 6560
What is the sum of the polynomials (-x^2 +9) + (-3x^2 - 11x + 4)
Answer:
4
−
4
+
8
2
+
8
Step-by-step explanation:
4 + {−5 + [−3 + 4 + 2(−7 + 4) + 4] + 2}
7 + {−2 + [5 + 4(−3) + (−6 + 2) + (−3)]}
(−2) + {3 + [−4 + (3)] + 7} + (−5)
(−10) + {−7 + [−4 + 5(−9) + 5] + 8}
18 + 3{−4 + [−15 + 20 + (−3)] + (−9)}
−(−8 + 5) + {−4 + [−7 + (−9 − 5) + 3]}
− 9 + {−7 − 2[−(4 + 1) + (5 − 9)]} − 3
−1 − 3{6 − [4 + 2(−7 + 8) − 5] − 2}
−(−2) − {−(−7) + [−3 + (−5 − 2) + 6]}
−(−6 − 2) − 2{−4(−5) + 5[−3 + (−2)]}
6 − 2{−4 + 3[3 − 3(−8 − 5) + 14] − 7}
Me pueden ayudar por favor es urgente!!! y Buenas Noches ;)
Answer
it is 5 : )
Step-by-step explanation:
How do I simplify rational expressions
Answer:
a rational expression is an expression that has a RATIO in it
look at the word "RATIO"nal
a ratio is just a fraction...
so your question is "how to simplify fractions"
lots of approaches, this is one of them...
PRIME FACTOR the numerator and denominator
[tex]\frac{90}{135}[/tex]
90 = 2 * 3 * 3 * 5
135 = 3 * 3 * 3 * 5
= 2/3 (the two 3's cancel and the 5's cancel)
Step-by-step explanation:
A. -1/4 + 2/3=
B. 1/2-3/5-1/2=
C. 3/4 of 2/9=
D. 2/5 of 7/12=
please help me
with explanation as well
Answer:
[tex]A) - \frac{1}{4} + \frac{2}{3} \\ \frac{ - 3 + 8}{12} \\ = \frac{5}{12} [/tex]
[tex]B) \frac{1}{2} - \frac{3}{5} - \frac{1}{2} \\ \frac{5 - 6 - 5}{10} \\ = \frac{ - 6}{10} [/tex]
[tex]C) \frac{3}{4} of \frac{2}{9} \\ \frac{3}{4} \times \frac{2}{9} \\ \frac{6}{36} = \frac{1}{6} [/tex]
[tex]D) \frac{2}{5} \times \frac{7}{12} \\ = \frac{14}{60} = \frac{7}{30} [/tex]
which relation is a function?
The first one because there is only one y value for every x value. The correct option is first.
To determine if a relation is a function, use the vertical line test: If any vertical line intersects the graph of the relation at more than one point, then the relation is not a function. On the other hand, if every vertical line intersects the graph of the relation at most once, then the relation is a function.
In first relation is considered a function, because each input x-value is associated with exactly one output y-value. In other words, for every x-value in the domain of the relation, there can be only one corresponding y-value in the range. Each x-value should not have more than one y-value associated with it.
Therefore, each x-value should not have more than one y-value associated with it. The correct option is first.
Learn more about Function here:
https://brainly.com/question/31062578
#SPJ6
Answer quickly please <33333
The side length of square A is shorter than the side length of square B by 5 inches. The perimeter of square A is 100 inches. What is the difference, in square inches, between the area of square A and the square area of B?
A)10
B) 25
C)125
D)175
Express tan J as a fraction in simplest terms
Answer:
SOH-CAH-TOA
tan = opposite/adjacent
tan J = 15/20 = 3/4
Step-by-step explanation:
Annie has set a goal of running at the track three times each week for a total of at least 16 miles per week. On Monday she ran 7.1 miles, and on Wednesday she ran 5.9 miles. If Annie plans to go running again on Friday, what is the minimum number of miles needed to reach her weekly goal?
