All categories

3 years ago

TJ solved a quadratic equation. His work is shown below, with Step 3 missing.

Mathematics

1 answer:

Yanka [14]3 years ago

4 0

Answer:

The value of x are -11 and -1.

Step-by-step explanation:

The quadratic equation is:

2 (x + 6)² - 5 = 45

Compute the value of x as follows:

2 (x + 6)² - 5 = 45

2 (x + 6)² = 50

(x + 6)² = 25

x² + 12x + 36 = 25

x² + 12x + 11 = 0

x² + 11x + x + 11 = 0

x (x + 11) + 1 (x + 11) = 0

(x + 11) (x + 1) = 0

If (x + 11) = 0, then x = -11.

If (x + 1) = 0, then x = -1.

Thus, the value of x are -11 and -1.

You might be interested in

Which term describes the fraction that has a variable or a variable expression

Lilit [14]

A term that describes the fraction that has a variable or valuable expression proper factor

3 0

3 years ago

Is the ratio orange to blue 3 to 4 equivalent to 12 to 9

tamaranim1 [39]

No If it was 4 to 3 then yes but 4 can't be multiplied by anything to equal 9

3 0

3 years ago

Factor completely 5ab(x + 6) − 4(x + 6).

konstantin123 [22]

It seems like you've begun to apply the grouping method.

Because the two binomials in the parentheses are the same, we can rewrite this as

(5ab-4)(x+6)

(x+6) cannot be further factored. (5ab-4) cannot be further factored either.

Final answer: (5ab-4)(x+6)

4 0

3 years ago

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean μ, the act

ira [324]

Answer:

The standard deviation would have to be 0.05.

Step-by-step explanation:

We can solve this problem using the 68-95-99.7 rule for normal distributions:

The rule states that:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviations of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

What would the value of σ have to be to ensure that 95% of all readings are within 0.1° of μ?

This means that 2 standard deviations would need to be within 0.1 of the mean. So

$2\sigma = 0.1$

$\sigma = \frac{0.1}{2}$

$\sigma = 0.05$

The standard deviation would have to be 0.05.

6 0

3 years ago

Which equations have the same value of x as Two-thirds (6 x + 12) = negative 24? Select two options.

Anna71 [15]

Answer:

4x+8=-24 and

4x=-32

Step-by-step explanation:

2/3(6x+12)=-24

or,12x+24=-72

or,x=-72-24/12

•°•x=-8

4x+8=-24

or,x=-24-8/4

•°•x=-8

4x=-32

or,x=-32/4

•°•x=-8

4 0

3 years ago

Read 2 more answers