<img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%20%7B%7D%5E%7B2%7D%20%20-%205" id="TexFormula1" title="f(x) = x {}^{2}

All categories

2 years ago

" alt="f(x) = x {}^{2} - 5" align="absmiddle" class="latex-formula">
what is the vertex and the equation for the axis of symmetry

Mathematics

1 answer:

faust18 [17]2 years ago

7 0

Answer:

The vertex is (0, -5) and the axis of symmetry is x = 0.

Step-by-step explanation:

In order to find the axis of symmetry, we look for the x value of the vertex. We can find this using the equation -b/2a, in which a is equal to the coefficient of the x^2 term and b is the coefficient of the x term.

x = -b/2a

x = 0/2(1)

x = 0/2

x = 0

So the axis of symmetry is 0 as is the x value of the vertex. Now we can find the y value by plugging in the x value into the equation.

f(x) = x^2 - 5

f(x) = 0^2 - 5

f(x) = 0 -5

f(x) = -5

This gives us a vertex of (0,-5)

You might be interested in

Will mark brainliest for area.

Elena L [17]

Answer:

Step-by-step explanation:

first, find the area of the rectangle thing,

A = lw

14 x 8

112

but, there is a semicircle in it so you need to subtract that from it:

A = πr^2/2

A = π(4)^2/2

A = π16/2

A = 8π

A ≈ 25.132741228718346

then subtract that area from the area of the rectangle:

112 - 25.132741228718346

86.867258771281654

or about 89.9

6 0

3 years ago

In a population of similar households, suppose the weekly supermarket expense for a typical household is normally distributed wi

Rina8888 [55]

Answer:

P(Y ≥ 15) = 0.763

Step-by-step explanation:

Given that:

Mean =135

standard deviation = 12

sample size n = 50

sample mean $\overline x$ = 140

Suppose X is the random variable that follows a normal distribution which represents the weekly supermarket expenses

Then,

$X \sim N ( \mu \sigma)$

The probability that X is greater than 140 is :

P(X>140) = 1 - P(X ≤ 140)

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{140-135}{12})$

$P(X>140) = 1 - P( \dfrac{X-\mu}{\sigma} \leq \dfrac{5}{12})$

$P(X>140) = 1 - P( Z\leq0.42)$

From z tables,

$P(X>140) = 1 - 0.6628$

$P(X>140) = 0.3372$

Similarly, let consider Y to be the variable that follows a binomial distribution of the no of household whose expense is greater than $140

Then;

$Y \sim Binomial (np)$

$Y \sim Binomial (50,0.3372)$

∴

P(Y ≥ 15) = 1- P(Y< 15)

P(Y ≥ 15) = 1 - ( P(Y=0) + P(Y=1) + P(Y=2) + ... + P(Y=14) )

$P(Y \geq 15) = 1 - \begin {pmatrix} ^{50}_0 \end {pmatrix} (0.3372)^0 (1-0,3372)^{50} + \begin {pmatrix} ^{50}_1 \end {pmatrix} (0.3372)^1 (1-0,3372)^{49} + \begin {pmatrix} ^{50}_2 \end {pmatrix} (0.3372)^2 (1-0,3372)^{48} +... + \begin {pmatrix} ^{50}_{50{ \end {pmatrix} (0.3372)^{50} (1-0,3372)^{0}$

P(Y ≥ 15) = 0.763

7 0

3 years ago

Graphing radical functions

Rom4ik [11]

Answer:

Step-by-step explanation:

A radical function is a function that contains a square root. Radical functions are one of the few types of functions that require you to consider the domain of the function before you graph the function. The domain is the x values of a given function or relation.

7 0

2 years ago

Adam spent half of his weekly allowance and the movies to earn more money his parents let him wash the car for $6 what is his we

Artemon [7]

Answer:

His weekly allowance is 8$

Step-by-step explanation:

4 0

3 years ago

Need help on this question 8 only

erastova [34]

I hope this helps! let me know