How do I solve problem 15

Solve the system of equations. y = -5x + 24 y = 4x - 21 a. ( -5, -1) c. ( -1, 5) b. ( 5, -1) d. No solution

Svetlanka [38]

y = -5x + 24

y = 4x - 21

Since both of these equations are equal to Y, theyre equal to each other.

So we can make an equation with y = -5x + 24 in one side and y = 4x - 21 on the other.

-5x + 24 = 4x - 21

Now in order to get the value of x we need to isolate it in one side of the equation. We can do this by subtracting 24 from both sides of the equation:

-5x + 24 - 24 = 4x - 21 - 24

-5x = 4x - 45

Now we subtract 4x from both sides so the 4x shift to the other side

-5x - 4x = 4x - 4x - 45

-9x = -45

Finally divide both sides by -9 so x is by itself

(-9)÷(-9x) = -(45)÷(-9)

x = 5

Since we did all of this to BOTH sides of the equation, both sides are still equal to each other and the equation still is true.

Now apply x = 5 to either of the initial equations to find the value of Y

y = -5x + 24 or y = 4x - 21

(I'll do both but u only need one)

y = -5(5) + 24

y = -25 + 24

y = -1

y = 4(5) - 21

y = 20 - 21

y = -1

Either way, X is 5 and Y is -1

Answer (5, -1)

5 0

2 years ago

How could you find an even better estimate of the square root of 2

vodomira [7]

Answer:

First of all you need to know the $\sqrt {4}$ it's equal to 2 and

$\sqrt {1}$ which is the number is between 1 and 2 and between that number there maybe the possibilities of above 0.5 or under 0.5

After that Figure out which one was bigger? $\sqrt {2}$ or $\sqrt {3}$ ? The answer is $\sqrt {3}$ and $\sqrt {3}$ also near to $\sqrt {4}$ so it should be above 0.5 .

So we know that $\sqrt {2}$ is between 1 and 1.5.

Hopes that information was help you a lot

6 0

2 years ago

: In a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket du

scoundrel [369]

Answer:

The point estimate for p is 0.86.

Step-by-step explanation:

We are given that in a marketing survey, a random sample of 730 women shoppers revealed that 628 remained loyal to their favorite supermarket during the past year (i.e. did not switch stores).

Let p = proportion of all women shoppers who remain loyal to their favorite supermarket

Now, the point estimate for the population proportion (p) is represented by ;

Point estimate for p = $\hat p$ = $\frac{X}{n}$

where, X = Number of women shoppers who remained loyal to their favorite supermarket during the past year = 628

n = sample of women shoppers = 730

So, point estimate for p ( $\hat p$ ) = $\frac{X}{n}$

= $\frac{628}{730}$ = 0.86

4 0

2 years ago

What is the missing number in the pattern above? 12,84,588,___,28,812

lara31 [8.8K]

Answer:

4,116

Step-by-step explanation:

Multiply by 7

12x7=84

84x7=588

and 588x7=4,116

So there's your answer 4,116

8 0

2 years ago

7(2x-5)=21 What is x?

Over [174]

Answer:

x = 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

7(2x - 5) = 21

Step 2: Solve for x

Distribute 7: 2x - 5 = 3
Isolate x term: 2x = 8
Isolate x: x = 4

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x: 7(2(4) - 5) = 21
Multiply: 7(8 - 5) = 21
Subtract: 7(3) = 21
Multiply: 21 = 21

Here we see that 21 does indeed equal 21.

∴ x = 4 is the solution to the equation.

6 0

2 years ago