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gizmo_the_mogwai [7]
3 years ago
13

Solve: 6x2 - x - 2 = 0

Mathematics
1 answer:
dusya [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Step 1: Factor left side of the  equation.

(3x−2)(2x+1)=0

Step 2: Set factors equal to 0.

3x−2=0 or 2x+1=0

x=\frac{2}{3}      or x=\frac{-1}{2}

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Sarina throws a ball up into the air, and it falls on the ground nearby. The ball's height, in feet, is modeled by the function
tangare [24]

Answer:

(C) 3 feet

Step-by-step explanation:

We have a function of f(x) here. When Sarina throws the ball, it has been 0 seconds since she threw it.

Since x represents the amount of seconds, we can find the height of the ball (f(x)) by substituting x in as 0.

-0^2 - 0 + 3

0 squared is 0, 0 minus zero is 0, and 0+3 = 3, so

f(x) = 3

Meaning that when Sarina threw the ball, it's height was 3 feet.

Hope this helped!

7 0
3 years ago
A smoothie cafe has the ingredients needed to make 50,000 Smoothies on a day when the high temperature is expected to reach 90F.
DIA [1.3K]

Answer: my teacher did this with me today.

Step-by-step explanation:

Explanation in picture

4 0
3 years ago
A swimming pool is in the shape of a right triangle. One leg has a length of 10 feet and one leg has a length of 15 feet. Estima
sasho [114]

Answer:

5√13 = c  OR 18. 0

Step-by-step explanation:

Using the Pyhtagorean Theorem, we will solve for x (in this case our hypothenuse)

a2 + b2 = c2

10(square) + 15(square)= c2  .....10*10 = 100  and   15* 15= 225

100 + 225 = c2

325= c2

√325 = c

5√13 = c  OR 18. 0

5 0
3 years ago
Solve the system of equations using the substitution method.
leva [86]

Answer:

The answer to your question is 1.- (37/2, -9/2)   2.-   g = 4  and h = 2

Step-by-step explanation:

Data

Equation 1     2x + 8y = 1

Equation 2       x = -3y + 5

Process

1.- Substitute equation 2 in equation 1

                    2(-3y + 5) + 8y = 1

Expand

                    -6y + 10 + 8y = 1

Solve for y

                     8y - 6y = 1 - 10

                             2y = -9

                               y = -9/2

2.- Substitute y in equation 2 to find x

                         x = -3(-9/2) + 5

Simplify

                         x = 27/2 + 5

                         x = 27/2 + 10/2

                         x = 37/2

Solution (37/2, -9/2)

2.-      

Equation 1      6g + 8h = 40

Equation 2     -6g + 2h = -20

Process

1.- Add both equations

Result

                       0   +  10h = 20

Solve for h

                                  h = 20/10

                                  h = 2

2.- Substitute h in Equation 1 to find g

                        6g + 8(2) = 40

Simplification

                       6g + 16 = 40

Solve for g

                               6g = 40 - 16

                               6g = 24

                                 g = 24/6

                                 g = 4

Solution   g = 4  and h = 2                

4 0
3 years ago
Read 2 more answers
Use the distributive property to simply the expression?​
lesantik [10]
-20n-14
-4x5n=-20n
-4x3.5=-14
And that cancels out the plus sign so it will be subtraction.
4 0
3 years ago
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