Answer: [tex](12,-3)\ \text{or}\ (3,-12)[/tex]
Step-by-step explanation:
Given
The product of integers is -36
The difference of integers is 15
Suppose the integers are x and y
[tex]\Rightarrow x-y=15\\\Rightarrow x=15+y\\\Rightarrow xy=-36[/tex]
Put the value of [tex]x[/tex] in the product
[tex]\Rightarrow (15+y)y=-36\\\Rightarrow 15y+y^2+36=0\\\Rightarrow y^2+12y+3y+36=0\\\Rightarrow y(y+12)+3(y+12)=0\\\Rightarrow (y+12)(y+3)=0\\\Rightarrow y=-3\ \text{or}\ -12[/tex]
[tex]\therefore x=12\ \text{or}\ 3[/tex]
Pairs of integers are [tex](12,-3)\ \text{or}\ (3,-12)[/tex]
What is another way to describe the following expression?
5−(x+y)3
Answer:
How can I help you?
5−(x+y)35-(x+y)3
Simplify
Simplify the expression.
−3x−3y+5-3x-3y+5
Answer:
the difference of 5 and the cube of the sum of x and y
Shelly invested in a lifetime annuity that begins payments at age 65. Her life
expectancy is 88. Shelly invested $800,000 into the annuity, which earns 4.8%
APR, compounded monthly. With this annuity, what is Shelly's monthly
payment amount?
A. $4756.93
B. $4792.38
C. $4984.72
D. $4897.79
Answer: 4792.38
Step-by-step explanation: just did it
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x +2 >7.
-2
3
6
8
Answer:
-2, 3
Step-by-step explanation:
We are given the following inequality:
[tex]x + 2 > 7[/tex]
Solving it, we have that its solution is:
[tex]x > 7 - 2[/tex]
[tex]x > 5[/tex]
So values of x of 5 and lower are counterexamples to this, which means that -2 and 3 are correct options to this question.
Factor out the greatest common factor
යය _|5
1/2 45
How to solve trinomial
Answer:
Identify a, b , and c in the trinomial ax2+bx+c.
Write down all factor pairs of c.
Identify which factor pair from the previous step sum up to b.
Substitute factor pairs into two binomials.
Step-by-step explanation:
Pls help! And I will mark you as brainlist im not joking!
Answer:
[tex]third \: answer \\ if \: f(x) < 0 \\ - 6 < x < 2[/tex]
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]°
110%
AS
>C
B
Angles are not drawn to scale.
Enter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
Answer:
Solution given:
x+110°=180[supplementary]
x=180-110=70°
x=70°
The circumference of a circle is 119.32 in what is the diameter of the circle?
Answer:
38
Step-by-step explanation:
119.32/3.14 since 3.14 is pi and c=pi*d
Answer:
d≈37.98
Step-by-step explanation:
C=2πr
d=2r
Solving for d
d=C
π=119.32
π≈37.98074
Please help me with this answer
Thank you!
Select the
outliar i the data set 1,64,66,68,69,70,78,79
Answer:
1 is the out liar
Step-by-step explanation:
This is because there is a huge gap between 1 and 64. The rest of the numbers are in a cluster.
Can somebody help me
Answer:
the answer is D because it depends of the velocity
Which expression is equivalent to 3/32x^8y^10
Answer:
(9-8) + 8 = 9
Step-by-step explanation:
Answer: Third option
Step-by-step explanation: doing a point giveaway stay tuned!
Can someone help with this please
Convert 124.042 to Base 10
Answer:
dfsdfsdfsdfsdfsdf
Step-by-step explanation:
The price of one gallion of heating oil $2.589. Which is this number rounded to the nearest penny A $2.50 a $2.59 c $2.70 $3.00
Solve the following system of inequalities graphically on the set of axes below. State
the coordinates of a point in the solution set.
y > -2x - 1
y > x + 2
Answer:
[tex](x,y) = (-1,1)[/tex]
Step-by-step explanation:
Given
[tex]y>-2x - 1[/tex]
[tex]y>x + 2[/tex]
Required
Solve graphically
See attachment for graph;
The black shade represents [tex]y>-2x - 1[/tex]
While the green, represents [tex]y>x + 2[/tex]
Next, determine the intersection points between the two lines
From the attached graph, we have:
[tex](x,y) = (-1,1)[/tex]
Hence, the solution is:[tex](-1,1)[/tex]
Find the value of x.
Answer:
x = 16
Step-by-step explanation:
First, find hypotenuse using 18 and 16.
Using Pythagorean theorem, it gives 24.08
now use it again with the hypotenuse and (36/2) = 18
This gives us x = 16
CAN SOMEONE PLZ ANSWER THIS ITS DUE AT 11:59 APRIL 11 2021 AND ILL MARK U BRAINLIST
Answer:
answer is c
Step-by-step explanation:
Answer:
c. 586.2
Step-by-step explanation:
add all areas together:
127.2 for semi circle on right
22x18=396 for middle square
7*9=36 for 2 triangles on left
what's a 3 number multiplication that = 1000?
Answer:
1,1, and 1000
Step-by-step explanation:
Answer:
(10 x 10) x 10 = 1000
Step-by-step explanation:
10 x 10 = 100
100 x 10 = 1000
Explain what the Union, Intersection, and complement in a venn diagram type probability situation represent and mean
Answer:
The union of two sets contains all the elements contained in either set (or both sets). The complement of a set A contains everything that is not in the set A.
Step-by-step explanation:
y^4-2y^2+1...........
Answer:
(y²-1)²
Step-by-step explanation:
Given:
y⁴ - 2y² + 1
Find:
Factor of given equation
Computation:
y⁴ - 2y² + 1
Change given equation in quadratic equation.
(y²)² - 2(y)²(1) + (-1)²
We know that
(a)² - 2(a)(b) + (b)²
(a-b)²
So,
(y²)² - 2(y)²(1) + (-1)²
(y²-1)²
Find all complex solutions of the equation z⁴-1-i=0.
Answer:
Step-by-step explanation:
hello :
z⁴=1+i given : z² = t t is the complex number so : z⁴= (z²)² =t²
solve for t this equation : t² = 1+i
if : t = x+iy t² =(x+iy)² = x²+2xiy+(iy)² =x²-y²+2xyi ...... ( i² = -1)
t² = 1+i means : x²-y²+2xyi = 1+i
you have this system : x²-y² = 1.....(*)
2xy = 1.....(**)
slve for x and y you ca add this equation : ....(***)
( use : t² = 1+i
/t²/ = /1+i/ so :/t/² = /1+i/ .... (√(x²+y²))²=√(1²+1²) =√2 means x²+y² = √2)
the system is : x²-y² = 1.....(*)
2xy = 1.....(**)
x²+y² = √2 ....(***)
add (*) and (***) : 2x²= 1+√2
x² = (√2+1)/2
substrac (*) and (***) you have : y² = (√2-1)/2
use (**) the proudect xy is positif (same sign) so :
x=√( (√2+1)/2) and y = √( (√2-1)/2) so : t1 =√( (√2+1)/2)+i√( (√2-1)/2)
x= -√( (√2+1)/2) and y = -√( (√2-1)/2) so :t2= -t1
same method for equation : z² =t1 ..(2 solution ) and z² = t2..(2 solution )
Use △GHJ, where A, B, and C are midpoints of the sides. When AC = 3y−5 and HJ = 4y+2, what is HB?
Use △GHJ, where A, B, and C are midpoints of the sides
HB=14
Given :
Use △GHJ, where A, B, and C are midpoints of the sides
AC = 3y−5 and HJ = 4y+2
Apply mid point theorem
mid segment = half of base
[tex]AC=\frac{1}{2}(HJ)[/tex]
Now we replace AC and HJ
[tex]AC=\frac{1}{2}(HJ)\\3y-5=\frac{1}{2} (4y+2)\\3y-5=2y+1\\Subtract \; 2y\\1y-5=1\\Add \; 5\\1y=1+5\\y=6[/tex]
B is the midpoint . HB is half of HJ
[tex]HB=\frac{1}{2} HJ\\HB=\frac{1}{2}(4y+2)\\x=6\\HB=\frac{1}{2}(4(6)+2)\\\\HB=\frac{1}{2}(28)\\\\HB=14[/tex]
So the value of HB = 14
Learn more : brainly.com/question/23120373
Express the quantity "1/3 revolutions per minute" in radians per second. Write your
answers in terms of n
A. n/45 rad/sec
B. n/120 rad/sec
C. n/90 rad/sec.
D. n/60 rad/sec
Answer:
[tex]\huge\blue{\mid{\fbox{\tt{ANSWER}}\mid}}[/tex]
C. n/90 rad/sec.
The students in a typing class have a mean typing rate of 38.2 words per minute. Five randomly selected students have typing rates of 32, 28, 41, 38, and 45 words per minute.
What is the value of μ and x¯ ?
μ = 38.2 wpm, x¯ = 38.0 wpm
μ = 36.8 wpm, x¯ = 38.2 wpm
μ = 38.2 wpm, x¯ = 36.8 wpm
μ = 38.0 wpm, x¯ = 38.2 wpm
Answer:
µ = 38.2 wpm, = 36.8 wpm
The local theater has three types of seats for Broadway plays: main floor, balcony, and mezzanine. Main floor tickets are $48, balcony tickets are $45, and mezzanine tickets are $34. One particular night, sales totaled $65,140. There were 381 more main floor tickets sold than balcony and mezzanine tickets combined. The number of balcony tickets sold is 328 more than 2 times the number of mezzanine tickets sold. How many of each type of ticket were sold?
I already have these equations: 48x+45y+34z=65140, x=y+z+381, y=2x+328, but I can't figure out how to substitute them.
Answer: In this problem, you have three unknowns: broadway tickets for the (1) main floor, (2) balcony and (3) mezzanine. To solve algebraic equations, the total number of unknowns must be the same with the number of independent equations. With that, let's formulate these three equations.
Let the 3 unknowns be
x = number of tickets for the main floor
y = number of tickets for the balcony
z = number of tickets for the mezzanine
The independent equations are:
59x+50y+40z=73,785 --> eq 1
x = y+z+435 --> eq 2
y = 78 + 33 z ---> eq 3
Solve the equations simultaneously. Substitute eq3 to eq 2
x = 78+33z+z+435
x = 513+34z --> eq 4
Substitute eq 4 and eq 3 to eq 1
59(513+34z)+50( 78 + 33 z)+40z=73,785
Solve for z using the calculator: z = 11
Use eq 4 to find x: x = 877
Use eq 2 to find y: y = 432
There were 877 main floor tickets, 432 balcony tickets and 11 mezzanine tickets sold.
Step-by-step explanation:
Answer:
Main floor - 892, balcony - 450, mezzanine- 61Step-by-step explanation:
Main floor - x, balcony - y, mezzanine- zEquations:
48x + 45y + 34z = 65140 ↔ (1)x = 381 + y + z ↔ (2)y = 2z + 328 ↔ (3)Substitute (3) into (2):
x = 381 + 2z + 328 + z ⇒ x = 3z + 709 ↔ (4)Substitute (2) and (4) into (1) and solve for z:
48(3z + 709) + 45(2z + 328) + 34z = 65140144z + 48*709 + 90z + 45*328 + 34z = 65140268z + 34032 + 14760 = 65140268z = 65140 - 48792268z = 16348z = 16348/268z = 61Find x and y:
x = 3z + 709 = 3*61 + 709 = 892y = 2z + 328 = 2*61 + 328 = 450can someone pls help me
Answer:
B. 7Step-by-step explanation:
AB is a tangent to circle o
ABO is a right-angled
AO²=AB²+BO²
[tex]BO=\sqrt{AO^{2}-(AB)^{2})\\}\\\\\sqrt{(8.6)^{2}-(5)^{2} } \\\\=\sqrt{73.96-25} \\\\=\sqrt{48.9} \\\\=6.99\\\\Answer=7[/tex]
hope it helps....
have a great day :)
Jeremy will roll a number cube, numbered 1–6, twice. What is the probability of rolling an odd number, then a number bigger than 2?
Answer:
1/12
Step-by-step explanation:
The probability of rolling an odd number = 3/6
The probability of rolling 2 after an odd number =
1/6
3/6 x 1/6 = 3/36
3/36 = 1/12 (after simplified)
f(x) = 3x + 5 g(x) = 4x2 – 2 h(x) = x2 – 3x + 1 Find f(x) – g(x) – h(x)
Step-by-step explanation:
this is the answer
hope it helped!!!
The frequency table represents the job status of a number of high school students. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 12, 38, 50. The third column is labeled not looking for a job with entries 28, 72, 100. The fourth column is labeled total with entries 40, 110, 150. Which shows the conditional relative frequency table by column? A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.3, nearly equal to 0.33, 1.0. The third column is labeled not looking for job with entries 0.7, nearly equal to 0.65, 1.0. the fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column is blank with entries currently employed, not currently employed, total. The second column is labeled Looking for a job with entries 0.12, 0.38, 050. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.00. The fourth column is labeled total with entries 0.4, 1.1, 1.5. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for a job with entries 0.24, 0.76, 1.0. The third column is labeled not looking for a job with entries 0.28, 0.72, 1.0. The fourth column is labeled total with entries nearly equal to 0.27, nearly equal to 0.73, 1.0. A 4-column table with 3 rows titled job status. The first column has no label with entries currently employed, not currently employed, total. The second column is labeled looking for job with entries 0.08, nearly equal to 0.25, nearly equal to 0.33. The third column is labeled not looking for a job with entries nearly equal to 0.19, 0.48, nearly equal to 0.67. The f
Answer:
C on edge
hope this helps
Step-by-step explanation:
The answer was C for me on Edg.
