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Sveta_85 [38]
3 years ago
10

What is the y-intercept and slope of 3x-5y=15

Mathematics
1 answer:
vlada-n [284]3 years ago
3 0

Answer:

Slope= 3/5

y-intercept= -3

Step-by-step explanation:

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Find the intersection points using substitution or elimination for each system of equations:
natka813 [3]

Answer:

Step-by-step explanation:

Okay, so I think I know what the equations are, but I might have misinterpreted them because of the syntax- I think when you ask a question you can use the symbols tool to input it in a more clear way, otherwise you can use parentheses and such.

Problem 1:

(x²)/4 +y²= 1

y= x+1

*substitute for y*

Now we have a one-variable equation we can solve-

x²/4 + (x+1)² = 1

x²/4 + (x+1)(x+1)= 1

x²/4 + x²+2x+1= 1

*subtract 1 from both sides to set equal to 0*

x²/4 +x^2+2x=0

x²/4 can also be 1/4 * x²

1/4 * x² +1*x² +2x = 0

*combine like terms*

5/4 * x^2+2x+ 0 =0

now, you can use the quadratic equation to solve for x

a= 5/4

b= 2

c=0

the syntax on this will be rough, but I'll do my best...

x= (-b ± √(b²-4ac))/(2a)

x= (-2 ±√(2²-4*(5/4)*(0))/(2*(5/4))

x= (-2 ±√(4-0))/(2.5)

x= (-2±2)/2.5

x will have 2 answers because of ±

x= 0 or x= 1.6

now plug that back into one of the equations and solve.

y= 0+1 = 1

y= 1.6+1= 2.6

Hopefully this explanation was enough to help you solve problem 2.

Problem 2:

x² + y² -16y +39= 0

y²- x² -9= 0

6 0
3 years ago
The table shows transactions from five different bank accounts. Fill in the missing numbers. ( THE IMAGE ATTACHED PLEASE)
velikii [3]

Answer:

Part 1) A=80

Part 2) B=-25

Part 3) C=-40

Step-by-step explanation:

we know that

The old account balance plus the transaction amount is equal to the new account balance

The transaction amount can be a positive number (example a deposit) or a negative number (example a withdrawal)

Part 1) Find the value of A

432+A=512

solve for A

subtract 432 both sides

A=512-432=80

Part 2) Find the value of B

75-100=B

solve for B

-25=B

Rewrite

B=-25

Part 3) Find the value of C

C+52=12

solve for C

subtract 52 both sides

C=12-52

C=-40

4 0
3 years ago
Jaila went to the butcher and bought 2.42 pounds of ground beef, ¾ pound of bacon, and 3 pork chops that each weigh .36 of a pou
kirill [66]

Answer: 4.25 pound of meat

Step-by-step explanation:

This is a addition questions, all you have to do is to add the numbers together. But you have to convert all the fractions and decimal to the same thing first. In this case, I'll convert all the fraction to decimal.

2.42 + 0.75 + 0.36  ✕ 3 = 4.25 pound

7 0
2 years ago
Find the product. (3.2)(6.4)
vfiekz [6]
Answer:

20.48

The parentheses just means multiplication.
8 0
2 years ago
The histogram shows the speeds of downhill skiers during a competition. Estimate the mean of the data set displayed in the histo
Ostrovityanka [42]

Answer:

≈50.6

Step-by-step explanation:

Not sure what precision level this problem is looking for, but for right-skewed distributions, we know that the mean is going to be pulled right and therefore the mean should be larger than the median. To a high confidence level, the mean should fall between 50 and 59, or in the third column.

If a single estimation is wanted, assume the values inside each column are uniformly distributed:

\displaystyle\\\widehat{\mu}=\frac{34.5\cdot 4+...+74.5\cdot 2}{4+9+4+4+2}\approx \boxed{50.6}

8 0
2 years ago
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