Write the following as an expression or equation 10 less than the product of a number and four

the vertex of this parabola is at (5,5). when the x-value is 6, the y-value is -1. what is the coefficient of the squared in the

zlopas [31]

Answer: OPTION D.

Step-by-step explanation:

The vertex form of a quadratic function is:

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

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.

We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.

Then we can substitute values into $f (x) = a(x - h)^2 + k$ and solve for "a". This is:

$-1= a(6- 5)^2 + 5\\\\-1=a+5\\\\-1-5=a\\\\a=-6$

7 0

3 years ago

Check out the photo for the question

Anestetic [448]

Answer:

50

Step-by-step explanation:

42/n³∑k²+12/n²∑k+30/n∑1

=42/n³[n(n+1)(2n+1)/6]+12/n²[n(n+1)/2]+30/n [n]

=7n(n+1)(2n+1)/n³+6n(n+1)/n²+30

=7(n+1)(2n+1)/n²+6(n+1)/n+30

=[7(2n²+3n+1)+6(n²+n)+30n²]/n²

=[14n²+21n+7+6n²+6n+30n²]/n²

=[50n²+27n+7]/n²

=[50+27/n+7/n²]

→50 as n→∞

because 1/n,1/n²→0 as n→∞

4 0

3 years ago

Read 2 more answers

3r+n^2-r+5-2n+2 simplify

andrey2020 [161]

$3r+n^2-r+5-2n+2=n^2-2n+(3r-r)+(5+2)\\\\=\boxed{n^2-2n+2r+7}$

4 0

2 years ago

The result after adding a set of numbers or is called a ___.

german

Answer:

The result after adding a set of numbers or is called a sum.

Step-by-step explanation:

Consider the provided information.

The four mathematical operations are:

$+,-,\times ,\div$

The sign + is used to add numbers.

The sign - is used to subtract the numbers.

The sign × is used for the product of the numbers.

The sign ÷ is used for division of the numbers.

When we add two or more number by using the operator + the obtained number or value is called the sum of the numbers.

For example:

Consider the number: 2 + 5 if we add the number the resulting value will be 7.

The number 7 is the sum of 2 and 5.

Thus, the result after adding a set of numbers is called a sum.

8 0

3 years ago

The International Coffee Association has reported the mean daily coffee consumption for U.S. residents as 1.65 cups. Assume that

Harman [31]

Answer:

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

the null hypothesis is accepted

There is no significant difference between their counterparts across the nation

Step-by-step explanation:

Step(i):-

Given that the mean of the U.S residents = 1.65

Given that the size of the sample 'n' = 38

Mean of the sample = 1.84

Given that the standard deviation of the sample (S) = 0.85

Step(ii):-

Null hypothesis:H₀:

There is no significant difference between their counterparts across the nation

Alternative Hypothesis:-H₁:

There is a significant difference between their counterparts across the nation

Test statistic

$t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }$

$t = \frac{1.84-1.65}{\frac{0.85}{\sqrt{38} } }$

t = 1.3788

Degrees of freedom

ν = n-1 = 38-1 = 37

t₀.₀₅ ,₃₇ = 2.0262

The calculated value t = 1.3788 < 2.0262 at 0.05 level of significance

Null hypothesis is accepted

Final answer:-

There is no significant difference between their counterparts across the nation.

5 0

2 years ago