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weeeeeb [17]
2 years ago
15

What is the first step I’m solving for the variable? 3(3x-7)=24

Mathematics
1 answer:
spin [16.1K]2 years ago
4 0

Answer:

x = 5

Step-by-step explanation:

First you distribute

9x - 21 = 24

Add 21 to both sides

9x = 45

Divide both sides by 9

x = 5

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Solve the system of equations: y= x^2 + 2x - 3 and y=3x+ 3.
Semenov [28]

Answer:

(-2, -3)

(3, 12)

Step-by-step explanation:

To solve this, we're gonna get rid of the y's with substitution

x² + 2x - 3 = 3x + 3

Let's make this equation equal to zero

Subtract 3 from both sides

x² + 2x - 3 = 3x + 3

            - 3         - 3

x² + 2x - 6 = 3x

Subtract 3x from both sides

x² + 2x - 6 = 3x

    - 3x        - 3x

x² - x - 6 = 0

Factor the equation

(x - 3)(x + 2) = 0

This means x can be -2 or 3

Let's solve it with -2 first, plug the new x in y = 3x + 3

y = 3(-2) + 3

y = -6 + 3 = -3

Do the same for x = 3

y = 3(3) + 3

y = 9 + 3 = 12

3 0
2 years ago
H(t)=-16(t-1)^2+16 <br> What is the maximum height the ball reaches and how long does it take?
Aleksandr-060686 [28]

Given t = time and h = height

h(t) =  - 16(t - 1)^{2}  + 16

From the equation.

y = a(x - h)^{2}  + k

h is the axis od symmetry

(h, k) is the vertex.

In the equation, h is 1 and k is 16.

So the maximum value is 16 at t = 1.

The ball reaches maximum at 16 and it takes t = 1 to reach the maximum point.

4 0
2 years ago
What is 925/1000 in simplest form
mojhsa [17]
37/40  37 divide it by 25 and it comes out 37 and if you divide 25 into 1000 in comes out to be 40 

8 0
3 years ago
When is the net force on an object equal to zero?
morpeh [17]
I believe it is when the forces action on the object are balanced. Hope it helps!
7 0
3 years ago
-------
Tomtit [17]

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

Step-by-step explanation:

Step 1 :

The fixed charges for the pick up = $3

Charges per mile = $1.50

Let s denote the total miles driven and t be the total cost for the trip

This can be represented by the equation

t = 3 + 1.5s

Step 2:

Distance traveled by Jonathan in his trip = 10 miles

So cost for riding 10 miles is

t = 3 + 1.5(10) = 3 + 15 = $18

The cost for 10 mile taxi ride is $18

Step 3 :

If the distance traveled is m miles, then substituting s = m in the above equation we get the cost as 1.5 m + 3

Step 4 :

Answer :

a) The cost for 10 mile taxi ride is $18

b) The cost for m mile taxi ride is 1.5 m + 3

3 0
3 years ago
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