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3 years ago

X+4y=10 -x+5y=8 what is the solution set

Mathematics

2 answers:

Margarita [4]3 years ago

8 0

Answer:

x=2 y=2

(2,2)

Step-by-step explanation:

We can solve this system by elimination.

x+4y=10

-x+5y=8

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

9y = 18

Divide each side by 9

9y/9 = 18/9

y =2

Now we need to find x

x +4y =10

x +4(2) = 10

x +8 =10

Subtract 8 from each side

x+8-8 = 10-8

x=2

ziro4ka [17]3 years ago

4 0

$x + 4y = 10 \: \vee \: - x + 5y \\ \Leftrightarrow \: x = 2 \: \vee \: y = 2 \\ \Rightarrow \: (x,y) = (2,2)$

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16x^2 - 49 when factored is ?

vaieri [72.5K]

Answer:

(4x-7)(4x+7)

Step-by-step explanation:

This is called the Difference of Two Squares (DOTS).

These are the conditions that must be met for DOTS to work:

•There must be 2 terms.

•They must be separated by a negative sign.

•Each term must be a perfect square.

First, you have to find 2 square numbers that times together to make 16.

4×4=16

As we want 16x², you just need to make the 4 become 4x:

4x times 4x equals 16x²

Then, find 2 squares that times together to make 49.

7×7=49

You can put the two squares into a bracket with the x variable first, then the number:

(4x-7)(4x+7)

In the brackets, you always put the negative sign in the first one and then the plus sign in the second one.

You can double check your answer by expanding it back out again using FOIL:

F-First

O-Outer

I-Inner

L-Last

Times the First two in the two brackets:

4x times 4x equals 16x²

Times the Outer two:

4x times 7 equals 28x

Times the Inner two:

-7 times 4x equals -28x

Times the Last two:

-7 times 7 equals -49

Form an equation:

16x²+28x-28x-49

The 28x cancel out to leave:

16x²-49

Hope this helps :)

3 0

3 years ago

Y=1/3x what is the slope

Karolina [17]

Answer:

Slope = $\frac{1}{3}$

Step-by-step explanation:

The equation for finding slope is:

$y = mx+b$

In the equation, m is the slope, x is the x-intercept, and b is the y-intercept. The number next to x is ALWAYS the slope.

Your equation:

$y = \frac{1}{3} x$

The number(fraction) next to x is $\frac{1}{3}$ . Therefore, your answer will be $\frac{1}{3}$

3 0

3 years ago

There were 578 piglets and 234 adult pigs in the warehouse building yesterday. Today, 126 piglets were sold, and 46 piglets will

natima [27]

Answer:

=406 piglets in the warehouse

Step-by-step explanation:

578-126=452

452-46=406

5 0

2 years ago

Clear selection

elena-s [515]

Answer: Velveeta

Step-by-step explanation:

Unit rate is basically the price for a single slice. This being said you would divide 2.50 by 10 and you would get .25, then you would do 4.00 by 20 which would be .20. So the better deal would be Velveeta.

6 0

4 years ago

A cafe offers senior citizens a 15% discount off its regular price of $8.95 for the dinner buffet.

jonny [76]

a) 75 percent of the regular price is the price for senior citizens.

b) $6.712 is the price for senior citizens.

<u>Step-by-step explanation</u>:

The regular price is the 100% = $8.95
The offer price for senior citizen = 15% discount from 100%

∴ Percent of the regular price for senior citizens = 100% - 15% = 75%

The price for the senior citizens = 75% of $8.95

⇒ (75/100) $\times$ 8.95

⇒ 0.75 $\times$ 8.95

⇒ 6.712 dollars.

∴ The price for senior citizens = $6.712

7 0

3 years ago