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Law Incorporation [45]
3 years ago
9

4. Which of the following is a true statement?

Mathematics
2 answers:
Anna [14]3 years ago
8 0
B. Is the true statement
umka21 [38]3 years ago
3 0
Answer: B) -7(4x - 8) = -28x + 56

Step-by-Step Explanation:

=> -7(4x - 8) = -28x + 56
On opening the brackets on L.H.S,
= -28x + 56 = -28x + 56
=> L.H.S = R.H.S

Therefore this is a True Statement
You might be interested in
The standard form of the equation of a parabola is y= x2 - 6x + 14.
Bas_tet [7]
<h3><u>Option C</u></h3><h3><u>The vertex form of the equation is:</u></h3>

y = (x - 3)^2 + 5

<em><u>Solution:</u></em>

<em><u>The vertex form of equation is given as:</u></em>

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

Where, (h, k) is the vertex

Given that,

y = x^2 - 6x + 14

We have to find the vertex form of equation

Step 1:

Complete the square for x^2 - 6x + 14

\text{ Use the form } ax^2 + bx + c \text{ to find values of a, b, c }

a = 1

b = -6

c = 14

Consider the vertex form of a parabola.

a(x + d)^2 + e ----- eqn 1

Substitute the values of  a and b into following:

d = \frac{b}{2a}\\\\d = \frac{-6}{2 \times 1}\\\\d = -3

Find the value of "e" using following formula:

e = c - \frac{b^2}{4a}\\\\e = 14 - \frac{(-6)^2 }{4 \times 1}\\\\e = 14 - 9\\\\e = 5

Substitute the values of a, d, e in eqn 1

y = 1(x -3)^2 + 5\\\\y = (x - 3)^2 + 5

Thus vertex form form is found. Option C is correct

3 0
3 years ago
About 78% of the US, population claims that they visit the dentist at least once a year. simple random sample of 200 people is s
Blababa [14]

Answer:

D) 0.78, 0.029

Step-by-step explanation:

Central Limit Theorem:

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

About 78% of the US, population claims that they visit the dentist at least once a year.

This means that p = 0.78

Random sample of 200 people:

This means that n = 200

Mean and standard deviation of the sampling distribution:

By the Central Limit Theorem

Mean \mu = 0.78

Standard deviation s = \sqrt{\frac{0.78*0.22}{200}} = 0.029

So the correct answer is given by option D.

7 0
3 years ago
PLS HELP LOOK AT PIC
zepelin [54]
31 trust In me I learned this last week
7 0
4 years ago
A student worked on the problem 35.8 x 9.3. The student's answer was 3,329.4. Use estimation to check whether this answer is rea
melomori [17]
The answer is not reasonable.
8 0
3 years ago
Why the order of the coordinates does not matter when calculating length
Rudiy27
The formula for calculating length is:
\sqrt{ (x_b-x_a)^{2} + (y_b-y_a)^{2} }

We can also write x_a - x_b or y_a - y_b
Why it does not matter?
Let's assume we have 2 numbers, a and b.
When we perform a subtraction:
a-b, we get another number c
When we perform another subtraction:
b-a, we get a number -c

When we raise c or -c to the power of 2, the result is the same, c^{2}.
4 0
4 years ago
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