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2 years ago

Nancy found that x = 1 is one solution to the quadratic equation (x + 2)2 = a. What is the value of a?

Mathematics

2 answers:

alekssr [168]2 years ago

10 0

Answer:

The value of x is 9.

Step-by-step explanation:

Given equation,

$(x+2)^2=a$

If x = 1 is the solution of this equation,

Then it will satisfy the equation,

$\implies (1+2)^2=a$

$\implies (3)^2=a$

$\implies a = 9$

Hence, the value of x is 9 if x = 1 is the solution of the given equation.

ad-work [718]2 years ago

4 0

Answer:

<h2>Step-by-step explanation: (PLZ GIVE ME BRAINLIEST!!!! :))</h2>

i did this question before

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faltersainse [42]

Answer:

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Step-by-step explanation:

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2 years ago

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If ce = 7x+4, find the value of x

Kryger [21]

Answer:

x = $\frac{y}{7} - \frac{4}{7}$

Step-by-step explanation:

Since it will be easier, just set "ce" as one term. Let ce = y

You are solving for the variable, x. Note the equal sign, what you do to one side, you do to the other.

Do the opposite of PEMDAS.

First, subtract 4 from both sides:

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Next, Divide 7 from both sides:

(y - 4)/7 = (7x)/7

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2 years ago

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Line z has a slope of 2.5 and goes through point (4, 13). Which equation best represents line z?

Rus_ich [418]

Answer:

y - 13 = (5/2)(x - 4)

Step-by-step explanation:

Here we know the slope and one point on the line. Use the point-slope formula:

y - k = m(x - h).

Substituting 13 for k, 4 for x and 2.5 for m, we get:

y - 13 = (5/2)(x - 4)\

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2 years ago

The One-to-One Property of natural logarithms states that if ln x = ln y, then _____

MrRissso [65]

Answer:

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2 years ago

100 random samples were taken from a large population. A particular numerical characteristic of sampled items was measured. The

Marta_Voda [28]

Answer:

The median is $Median = 0.903$

Step-by-step explanation:

From the question we are told that

The sample size is n = 100

The $1^{st} \to 45^{th}$ measurements is $= 0.859 \to 0.900$

Generally since that after 0.900 we have 0.901 , then the

$46^{th} \ measurement \ is \ 0.901$

in the same manner the $47^{th} \ measurement \ is \ 0.902$ ,

Given that 0.902 was observed three times it means that

$47^{th},48^{th},49^{th} \ measurement \ is \ 0.902$ ,

Given that 0.903 was observed two times it means that

$50^{th},51^{th} \ measurement \ is \ 0.903$ ,

Given that 0.903 was observed four times it means that

$52^{nd},53^{rd},54^{th},55^{th} \ measurement \ is \ 0.904$ ,

Given that the highest measurement is 0.958 then then the $56^{th} \to 100^{th} \ measurement \ is \ between \ 0.905 \to 0.958$

Generally the median is is mathematically represented as

$Median = \frac{ [\frac{n^{th}}{2}] + [(\frac{n}{2})^{th} + 1 ]}{2}$

=> $Median = \frac{ [\frac{100^{th}}{2}] + [(\frac{100}{2})^{th} + 1 ]}{2}$

=> $Median = \frac{ [50^{th}] + [51^{th} ]}{2}$

=> $Median = \frac{ 0.903 + 0.903}{2}$

=> $Median = 0.903$

8 0

2 years ago