1. The sum of the real numbers x and y is 15. Their
difference is 3. What is the value of xy ?
A. 3
B. 6
C. 9
D. 15
E. 54
( I really need this to be worked out so may I have help with this?)

Answers

Answer 1

Answer:

x = 9

y = 6

Step-by-step explanation:

Let's set up equations:

x + y = 15

x - y = 3

Let's rearrange one of these equations to use the substitution method:

x - y = 3

Add y to each side:

x = y + 3

Substitute in for x:

x + y = 15

y + 3 + y = 15

Combine like terms:

( y + y ) + 3 = 15

2y + 3 = 15

Subtract 3 from each side:

2y = 12

Divide each side by 2:

y = 6

Substitute this in to find the other variable:

x + y = 15

x + 6 = 15

Subtract 6 from each side:

x = 9


Related Questions

Blake says that 4(x − 1) = 12-4x has zero solutions. Is Blake correct? Explain why or why not. ​

Answers

Answer: He's wrong. The solution is x=2

Step-by-step explanation:

4x-4=12-4x

8x-4=12

8x=16

x=2

Blake's assumption is wrong. x = 2 is the solution.

What is an equation?

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Given:

We have an algebraic equation,

4(x − 1) = 12-4x.

Simplifying,

4x - 4 = 12 - 4x

8x = 16

x = 2

Therefore, x = 2 is the solution.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

What is the answer to this question?

Answers

both have a right angle, and both have a 61* angle, meaning the third angle has to be 29* on both (all angles in a triangle have to add up to 180 so you subtract the 90 and the 61 = 29)

Answer all this question

Answers

Answer:

the question is not there

A pair of investments have identical future values of $15,000

with 15-

year maturities. Option A has an 8%

interest rate compounded annually. Option B has a 10%

simple interest rate.


Which statements are true about the present values of the investments?
Option A has a PV of $4728.63.
$
4728.63
.
Option A has a PV of

Option B has a lower PV than Option A.
Option B has a lower PV than Option A.

Option A has a PV of $6818.18.
$
6818.18
.
Option A has a PV of

Option A has a lower PV than Option B

Answers

Answer:

Option A has a PV of $4728.63.

AND

Option A has a lower PV than Option B.

Step-by-step explanation:

You just gotta live it man. We're all gonna make it bros.

If
f(x) = x2 + 2x - 4
and
g(x) = 3x + 1
=
Find
g(f(x)) = [ ? ]x2 +[ ]x + [ ]

Answers

The equation for g(f(x)) would equal 5x2 + 2x -11

I got this by graphing both of those equations, and their lines were the exact same.

Graph shown below:

While on a business trip to Hampton, Valentina treated her co-workers to a meal that cost
$393.16. Valentina knew that when the bill came, she would need to pay Hampton sales tax
of 6.25% and would want to leave an 18% tip on the original $393.16. Including tax and tip,
how much did Valentina's meal cost?

Answers

Valentina’s meal cost $488.5 with tax and tip included. (note that the values were rounded to nearest hundredth)

Evaluate each of the expressions below using the given value.

Answers

Answer:

39

Step-by-step explanation:

m=5 substitute m to 5

3(6m - 17)

18m - 51

18(5) - 51 substitute

90 - 51 =

39

PLEASE ANSWER ASAP WORTH 40 POINTS !! SHOW WORK AS WELL PLEASE. After the 4th
game of the season, Aaron Rodgers had 6 touchdown passes.
After the 12th
game of the season, he had 28 touchdown passes. What is the rate
of change in touchdowns per game that he had during that stretch?

Answers

Answer:

He averaged 2.75 touchdowns per game during the stretch.

Step-by-step explanation:

Its a 8 game stretch, he scored 22 touchdowns during the stretch.

So divide 22 by 8 to get 2.75 to get the average touchdowns per game

1). 2/3 ÷ 3/6
2). 1/5 + 3/4
3). 15/3 × 21/5


Answers

1). 2/3 ÷ 3/6

=> 2/3 ÷ 3/6

=> 2/3 × 6/3

=> 2/1 × 2/3

=> 4/3

2). 1/5 + 3/4

=> 1/5 + 3/4

=> 1 × 4/5 × 4 + 3 × 5/4 × 5

=> 4/20 + 15/20

=> 4 + 15/20

=> 19/20

3). 15/3 × 21/5

=> 15/3 × 21/5

=> 15 × 21/3 × 5

=> 315/15

=> 21 × 15/1 × 15

=> 21

how much hours is between 6:00 am to 7:45 am​

Answers

Answer:

1 hour and 45 min

Find the missing angle.
у
37
58°
y = [?]
Enter the number that belongs in the green box.

Answers

Answer:

85°

Step-by-step explanation:

The sum of all angles in a triangle is 180°

180 = y + 37 + 58

y = 180 - 37 - 58

y = 85

Answer:

85 degrees

Step-by-step explanation:

y+95 degrees=180 degrees

y=85 degrees

mathematics sat question

Answers

Answer:

A

Step-by-step explanation:

You should simplify this, here [tex]i[/tex] is like a variable.

[tex](7+3i)+(-8+9i)[/tex] [tex]7+3i-8+9i[/tex]

Now here you just simplify the variables and calculate the numbers.

[tex]7-8 = -1[/tex]

[tex]3i+9i=12i[/tex]

equals

[tex]-1+12i[/tex] which is "A"

I hope it helps you. Please choose my answer as the BRAINLIEST

(7+3i)+(-8+9i)
=7+3i-8+9i
=-1+12i

Hope my answer helped u :)

Help me with this
50 POINTS for you PLUS A BRAINLIEST, THANKS AND 5 STAR

Answers

Answer:

N = 17.1°

P = 72.9°

168.96 = NQ

Step-by-step explanation:

13.6 ^2 = 4^2 + NQ

184.96 - 16 = NQ

168.96 = NQ

------------------------

N = 17.1°

P = 72.9°

Help, show work too please. (NO LINKS)​

Answers

Answer:

11.7

Step-by-step explanation:

Step 1: Our output value 39.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 39 = 100%.

Step 4: Similarly, x = 30%.

Step 5: This results in a pair of simple equations:

39 = 100%(1)

x = 30%(2)

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

39/x = 100%/30%

Step 7: Again, the reciprocal of both sides gives

x/39 = 30/100

------> x = 11.7

Therefore, 30% of 39 is 11.7

...............................

Answers

Answer:

at this time i am unwilling to answer this question due to the fact that it interfeers with my ability to peacefully sleep tonight./ thatnyou and have a good nioght.

Step-by-step explanation:

165,137.18$ after 47 years

Explanation A = P(1+r)t

P = 20000
R = 4.5
T = 47

Laney wants to eat healthier so she has started to pay attention to the calories in the food she eats. So far today, Laney has eaten two apples and 3 cups of cereal. She has consumed 625 calories. If an apple has 95 calories, how many calories are in a cup of cereal?
Need to know how it was solved!
Please I need this super soon!

Answers

Answer:

145 calories

Step-by-step explanation:

2 apples so - 95x2= 190

625-190 = 435

435/3= 145

Hope this helps :)

14. In the equation y= 15x, what is the constant of variation?

Answers

Answer:

-15

Step-by-step explanation:

i just searched it up

Ignore how blurry the picture is

Answers

I HOPE THE ABOVE INFORMATION WILL HELP YOU.

THANK YOU.

-64+?=0 i need help!

Answers

Answer:

64

Step-by-step explanation:

If you add a positive number that is the same as the negative number together then your answer will end up to be 0.

Answer:

64

Step-by-step explanation:

- 64 + 64 = 0

Adding a positive number to the negative of the same number gives zero

What are the equations of the lines of symmetry for the figure
shown?



Answers

Answer:

x = -2 and y=0

Step-by-step explanation:

-3.5--1.5 = -2

what is 10000 in expanded form ? ​

Answers

Answer:

[tex]{ \red{ \bold{ = 1 \times 10 {}^{4}}}}[/tex]

Step-by-step explanation:

Step 1: Write the initial number as a product of its first digit and matching place value

[tex] {\red {\bold{10 \: 000 = 1 \times 10 \: 000}}}[/tex]

Step 2: Write 10000 as 10 to the power of 4

[tex]{ \boxed{ \red{ \bold{10 \: 000 = 1 \times 10 {}^{4}}}}}[/tex]

Hence, This is the expanded form with exponents of the initial number !

Plz help!! I will give most brainliest!! No links plz!!

Answers

1c. = 1/2 lb, 1 lb = 4 sticks of butter

How do u factorise: x²-x-6= (x+2) ( )

Answers

Answer:

x=−2 or x=4

Step-by-step explanation:

Step 1: Subtract x+2 from both sides.

x2−x−6−(x+2)=x+2−(x+2)

x2−2x−8=0

Step 2: Factor left side of equation.

(x+2)(x−4)=0

Step 3: Set factors equal to 0.

x+2=0 or x−4=0

x=−2 or x=4

Bentil sells 240 years at 12% simple interest per annum what will be the total amount in Bentil's account at the end of the three years 3 years?​

Answers

Answer:

86.4

Step-by-step explanation:

12% of 240 * 3 = 86.4

do logarithmic functions have horizontal asymptotes?

Answers

9514 1404 393

Answer:

  not generally

Step-by-step explanation:

The basic log function has a vertical asymptote where its argument is zero. It has a positive slope for all positive arguments. It tends to infinity as the argument tends to infinity. There is no horizontal asymptote.

__

A log function can be made part of a larger expression in a way that would give the expression a horizontal asymptote. For example, the function ...

  f(x) = 1/log(x)

has a horizontal asymptote at f(x) = 0. (This asymptote is approached very slowly.)

What are the roots (x intercepts ) of the equations below ? Show your work , Factor if possible or use Quadratic Equation . a ) y = x ^ 2 - x - 6 b). y = 2x ^ 2 + x - 6

Answers

Answer:

(a) [tex]x=-2,3[/tex] (b) [tex]x=\frac{3}{4} ,-\frac{11}{4}[/tex]

Step-by-step explanation:

[tex]y=x^2-x-6\\y=2x^2+x-6[/tex]

For the first equation, this can easily be factored

[tex]y=(x+2)(x-3)[/tex]

Now, set each of their factors equal to zero and solve

[tex]x+2=0\\x=-2\\\\x-3=0\\x=3[/tex]

Therefore, for a, the roots of [tex]y=x^2-x-6[/tex] are [tex]x=-2, 3[/tex]

For the second equation, it is able to be factored, however, its normally easier to use the quadratic equation to solve polynomials with an a term greater than 1

[tex]y=2x^2+x-6[/tex]

[tex]x_{1} =-b+\frac{\sqrt{b^2-4ac} }{2a}=-1+\frac{\sqrt{1-4(2)(-6)} }{4}=-1+\frac{\sqrt{1-(-48)} }{4}=-1+\frac{\sqrt{49} }{4} =-1+\frac{7}{4}=\frac{3}{4}[/tex]

[tex]x_{2}=-b-\frac{\sqrt{b^2-4ac}}{2a}=-1-\frac{\sqrt{1-4(2)(-6)} }{4} =-1-\frac{\sqrt{1-(-48)} }{4}=-1-\frac{\sqrt{49} }{4}=-1-\frac{7}{4} =-\frac{11}{4}[/tex]

Hope this helps! :)

D(x)=1/36(x-60)2-100

Answers

Answer:

Graph the line using the slope and y-intercept, or two points.

Slope: [tex]\frac{1}{18}[/tex]

y-intercept: [tex](0, -\frac{310}{3} )[/tex]

What is the equation of the line that passes through the point (5,-9) and has a slope of
m written in point-slope form?

Answers

Answer:

y=-2/3(x-5)-9

sorry for bad handwriting and forget - with slope

. A golf cart priced at $6600 was on sale for 20% off. The sales tax rate is 5%. What is the sale price of the golf cart, including tax?

Answers

20% off means it is selling for 80% of the original price (109% - 20 % = 80%)

Sale price = 6600 x 0.80 = 5,280

Now add the tax:

5280 x 1.05 = 5544

The total price is $5,544

EST TO
ET
The hypotenuse of a right triangle is 35 in. One leg of the triangle
measures 21 in. What is the length, in inches, of the other leg of
the triangle?

Answers

Answer:

28 in

Step-by-step explanation:

Use Pythagoras Theorem

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

Where c is the hypotenuse of the right angle triangle ,and a and b the other sides. Just substitute the values and get your answer.

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