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Nata [24]
3 years ago
6

Solve the equation using square roots 3x^2-48=0

Mathematics
1 answer:
kari74 [83]3 years ago
5 0
<span>Simplifying 3X2 + -48 = 0
</span><span>Reorder the terms: -48 + 3X2 = 0
</span><span>Solving -48 + 3X2 = 0
</span>Solving for variable 'X'.
Move all terms containing X to the left, all other terms to the right.
<span>Combine like terms: -48 + 48 = 0 0 + 3X2 = 0 + 48 3X2 = 0 + 48 </span><span>Combine like terms: 0 + 48 = 48 3X2 = 48
</span><span>Divide each side by '3'. X2 = 16
</span><span>Simplifying X2 = 16
</span><span>Take the square root of each side: X = {-4, 4}</span>
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Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
F(x)=2x-3 g(x)=x^2+1 find g(2)
Hitman42 [59]

Answer:

g(2)=5

Step-by-step explanation:

since g(x) is equal to x^2+1, you just plug in the value of 2 for x, to get 2^2+1, and 2 to the power of 2 (also known as 2 squared) is equal to 4, which makes your equation 4+1, which equals 5.

3 0
2 years ago
Write additive and multiplicative inverse of19/-6 and-2/3<br>​
Sedbober [7]
<h2>Answer:</h2>

Additive inverse of 19/-6 is 19/6

Additive inverse of -2/3 is 2/3

Multiplicative inverse of 19/-6 is -6/19

Multiplicative inverse of  -2/3 is  3/-2 (also written as -3/2)

<h2>Step-by-step explanation:</h2>

(a) The additive inverse of a number is that number that when added to it gives 0.

For example, the additive inverse of x is -x.

This is because adding -x to x gives 0. i.e

x + (-x) = 0

In other words, the additive inverse of a number is the negative of that number.

Given:

(i) 19/-6

The additive inverse of 19/-6 is the <em>negative</em> of 19/-6 which is -(19/-6).

-(19/-6) then gives 19/6

Therefore, the additive inverse of 19/-6 is 19/6

(ii) -2/3

The additive inverse of -2/3 is the <em><u>negative</u></em> of -2/3 which is -(-2/3).

-(-2/3) then gives 2/3

Therefore, the additive inverse of -2/3 is 2/3

(b) The multiplicative inverse of a number is that number that when multiplied by it gives 1.

For example, the multiplicative inverse of y is 1/y.

This is because multiplying y by 1/y gives 1. i.e

y x (1/y) = 1

In other words, the multiplicative inverse of a number is the reciprocal of that number.

Given:

(i) 19/-6

The multiplicative inverse of 19/-6 is the <em>reciprocal</em> of 19/-6 which is 1/(19/-6).

1 / (19/-6) then gives -6/19

This is found by just swapping the numerator(19) and the denominator(-6)

Therefore, the multiplicative inverse of 19/-6 is -6/19

(ii) -2/3

The multiplicative inverse of -2/3 is the <em>reciprocal</em> of -2/3 which is 1/(-2/3).

1 / ( -2/3) then gives  3/-2

This is found by just swapping the numerator(-2) and the denominator(3)

Therefore, the multiplicative inverse of  -2/3 is  3/-2 (also written as -3/2).

4 0
3 years ago
How many cups.of flour do they use with 13 tablespoons of honey
fenix001 [56]

Answer:

A bakery uses 8 tablespoons of honey for every 10 cups of flour to make bread dough. Some days they bake bigger batches and some days they bake smaller batches, but they always use the same ratio of honey to flour. so i think it is 10.5

Step-by-step explanation:

6 0
3 years ago
PLEASE HELP ME OUT
ra1l [238]

Step-by-step explanation:

0.005kg = 0.5dag \\  \\ 0.075m = 7.5cm

hope helpful <3

3 0
2 years ago
Read 2 more answers
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