Asked by adaleta
Solve the quadratic equation 5x2+75x=0 by factoring out the GCF.(1 point)
Responses
The solutions are x=−15 and x=−5.
The solutions are x equals negative 15 and x equals negative 5 .
The solutions are x=0 and x=5.
The solutions are x equals 0 and x equals 5 .
The solutions are x=0 and x=15.
The solutions are x equals 0 and x equals 15 .
The solutions are x=−15 and x=0.
Responses
The solutions are x=−15 and x=−5.
The solutions are x equals negative 15 and x equals negative 5 .
The solutions are x=0 and x=5.
The solutions are x equals 0 and x equals 5 .
The solutions are x=0 and x=15.
The solutions are x equals 0 and x equals 15 .
The solutions are x=−15 and x=0.
Answers
Answered by
adaleta
Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x2=56x?(1 point)
Responses
Put the quadratic in standard form 7x2−56x=0
Factor out the GCF 7x(x−8)=0
Set each factor equal to zero 7x=0 and x−8=0
The solutions are x=−7 and x=8 Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals negative 7 and x equals 8
Put the quadratic in standard form 7x2−56x=0
Factor out the GCF 7x(x−8)=0
Set each factor equal to zero 7x=0 and x−8=0
The solutions are x=0 and x=8Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8
Put the quadratic in standard form 7x2+56x=0
Factor out the GCF 7x(x+8)=0
Set each factor equal to zero 7x=0 and x+8=0
The solutions are x=−8 and x=0 Put the quadratic in standard form 7 x squared plus 56 x equals 0 Factor out the GCF 7 x left parenthesis x plus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x plus 8 equals 0 The solutions are x equals negative 8 and x equals 0
Put the quadratic in standard form x−8=0
Factor out the GCF No GCF
Set each factor equal to zero x−8=0
The solutions are x=8 Put the quadratic in standard form x minus 8 equals 0 Factor out the GCF No GCF Set each factor equal to zero x minus 8 equals 0 The solutions are x equals 8
A>B>C>D
Responses
Put the quadratic in standard form 7x2−56x=0
Factor out the GCF 7x(x−8)=0
Set each factor equal to zero 7x=0 and x−8=0
The solutions are x=−7 and x=8 Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals negative 7 and x equals 8
Put the quadratic in standard form 7x2−56x=0
Factor out the GCF 7x(x−8)=0
Set each factor equal to zero 7x=0 and x−8=0
The solutions are x=0 and x=8Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8
Put the quadratic in standard form 7x2+56x=0
Factor out the GCF 7x(x+8)=0
Set each factor equal to zero 7x=0 and x+8=0
The solutions are x=−8 and x=0 Put the quadratic in standard form 7 x squared plus 56 x equals 0 Factor out the GCF 7 x left parenthesis x plus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x plus 8 equals 0 The solutions are x equals negative 8 and x equals 0
Put the quadratic in standard form x−8=0
Factor out the GCF No GCF
Set each factor equal to zero x−8=0
The solutions are x=8 Put the quadratic in standard form x minus 8 equals 0 Factor out the GCF No GCF Set each factor equal to zero x minus 8 equals 0 The solutions are x equals 8
A>B>C>D
Answered by
adaleta
what is the answer
Answered by
adaleta
a.b.c.d?
Answered by
GPT-4o mini
To solve the quadratic equation \(5x^2 + 75x = 0\) by factoring out the greatest common factor (GCF), we first identify the GCF, which is \(5x\).
Factoring out \(5x\) from the equation gives us:
\[
5x(x + 15) = 0
\]
To find the solutions, we can set each factor equal to zero:
1. \(5x = 0\) leads to:
\[
x = 0
\]
2. \(x + 15 = 0\) leads to:
\[
x = -15
\]
Thus, the solutions to the equation are:
- \(x = 0\)
- \(x = -15\)
The correct response is:
**The solutions are \(x = -15\) and \(x = 0\).**
Factoring out \(5x\) from the equation gives us:
\[
5x(x + 15) = 0
\]
To find the solutions, we can set each factor equal to zero:
1. \(5x = 0\) leads to:
\[
x = 0
\]
2. \(x + 15 = 0\) leads to:
\[
x = -15
\]
Thus, the solutions to the equation are:
- \(x = 0\)
- \(x = -15\)
The correct response is:
**The solutions are \(x = -15\) and \(x = 0\).**
Answered by
GPT-4o mini
To solve the quadratic equation \(7x^2 = 56x\), we can follow these steps:
1. **Put the quadratic in standard form**:
\[
7x^2 - 56x = 0
\]
2. **Factor out the GCF**:
The GCF in this equation is \(7x\):
\[
7x(x - 8) = 0
\]
3. **Set each factor equal to zero**:
\[
7x = 0 \quad \text{and} \quad x - 8 = 0
\]
4. **Find the solutions**:
- From \(7x = 0\), we get:
\[
x = 0
\]
- From \(x - 8 = 0\), we get:
\[
x = 8
\]
Thus, the solutions to the equation are \(x = 0\) and \(x = 8\).
Now, looking at the options provided, the correct table of steps is:
**Put the quadratic in standard form**: \(7x^2−56x=0\)
**Factor out the GCF**: \(7x(x−8)=0\)
**Set each factor equal to zero**: \(7x=0\) and \(x−8=0\)
**The solutions are**: \(x=0\) and \(x=8\)
So, this corresponds to the second response:
> Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8.
Therefore, the correct choice is **A** > **B** > **C** > **D**.
1. **Put the quadratic in standard form**:
\[
7x^2 - 56x = 0
\]
2. **Factor out the GCF**:
The GCF in this equation is \(7x\):
\[
7x(x - 8) = 0
\]
3. **Set each factor equal to zero**:
\[
7x = 0 \quad \text{and} \quad x - 8 = 0
\]
4. **Find the solutions**:
- From \(7x = 0\), we get:
\[
x = 0
\]
- From \(x - 8 = 0\), we get:
\[
x = 8
\]
Thus, the solutions to the equation are \(x = 0\) and \(x = 8\).
Now, looking at the options provided, the correct table of steps is:
**Put the quadratic in standard form**: \(7x^2−56x=0\)
**Factor out the GCF**: \(7x(x−8)=0\)
**Set each factor equal to zero**: \(7x=0\) and \(x−8=0\)
**The solutions are**: \(x=0\) and \(x=8\)
So, this corresponds to the second response:
> Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8.
Therefore, the correct choice is **A** > **B** > **C** > **D**.
Answered by
GPT-4o mini
The correct table of steps to factor out the GCF and solve the quadratic equation \(7x^2 = 56x\) is:
**Put the quadratic in standard form**: \(7x^2 - 56x = 0\)
**Factor out the GCF**: \(7x(x - 8) = 0\)
**Set each factor equal to zero**: \(7x = 0\) and \(x - 8 = 0\)
**The solutions are**: \(x = 0\) and \(x = 8\)
Based on the choices provided, this corresponds to the following option:
> Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8.
So, the answer is **the second response**.
**Put the quadratic in standard form**: \(7x^2 - 56x = 0\)
**Factor out the GCF**: \(7x(x - 8) = 0\)
**Set each factor equal to zero**: \(7x = 0\) and \(x - 8 = 0\)
**The solutions are**: \(x = 0\) and \(x = 8\)
Based on the choices provided, this corresponds to the following option:
> Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0 and x minus 8 equals 0 The solutions are x equals 0 and x equals 8.
So, the answer is **the second response**.
Answered by
GPT-4o mini
The correct option corresponds to:
**B**
So the answer is: **B**.
**B**
So the answer is: **B**.
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