All categories

3 years ago

Describe the steps you used to solve the equation and

Mathematics

1 answer:

antoniya [11.8K]3 years ago

4 0

Answer: 22

Step-by-step explanation: 1/4a + 1/3a + 8 = 22

You might be interested in

Please help. I don't understand anything.

alina1380 [7]

Answer:

Step-by-step explanation:

The area of figure=Area of rectangle+Area of triangle

Area of figure=(x+2)(x-3)+1/2*(x)*(x+2)

Area of figure=x^2-x-6+0.5*x^2+x

Area of figure=(3/2)x^2-6

7 0

3 years ago

Read 2 more answers

Which equation represents the line that is parallel to segment RS in the triangle below and passes through point T?

mestny [16]

Answer:

$y = \frac{1}{2}x +4$

Step-by-step explanation:

Given:

$R = (0,0)$

$S= (8,4)$

$T = (-2,3)$

First, we have that the line is parallel to RS.

This means that the line has the same slope as RS and the slope of RS is calculated as follows:

$m = \frac{y_2 - y_1}{x_2 - x_1}$

$m = \frac{4-0}{8-0}$

$m = \frac{4}{8}$

$m = \frac{1}{2}$

So, the line has a slope of $m = \frac{1}{2}$

Next, we have that the line passes through $T = (-2,3)$ .

The equation of the line is then calculated using the following formula

$y - y_1 = m(x - x_1)$

$y - 3 = \frac{1}{2}(x - (-2))$

$y - 3 = \frac{1}{2}(x +2)$

Open bracket

$y - 3 = \frac{1}{2}x +1$

Make y the subject

$y = \frac{1}{2}x +1+3$

$y = \frac{1}{2}x +4$

8 0

3 years ago

Instructions: Given the vertex, fill in the vertex form of the quadratic function..

miskamm [114]

Answer:

$\implies y=(x-2)^2-6$

Step-by-step explanation:

<u>Vertex form of a quadratic equation</u>:

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

where:

(h, k) is the vertex
a is some constant

<u>Given vertex</u>: (2, -6)

⇒ h = 2 and k = -6

Substitute the values of h and k into the formula:

$\implies y=a(x-2)^2+(-6)$

$\implies y=a(x-2)^2-6$

As we have not been given a value for the constant $a$ , assume this is 1.

Therefore, the <u>vertex form</u> of the <u>quadratic function</u> with vertex (2, -6) is:

$y=(x-2)^2-6$

Learn more about vertex form here:

brainly.com/question/27796555

brainly.com/question/27909020

5 0

2 years ago

Read 2 more answers

Can someone plz help me?!

ivolga24 [154]

Answer:

all work is shown and pictured

6 0

4 years ago

Read 2 more answers

A mattress store charges 7% sales tax and a 50 delivery fee

amm1812

We are given function f(a) = 1.07a for total amount including sales tax.

g(b) = b+50 total cost including delivery.

We need to write function g(f(a)).

g(f(a)) = g of f(a).

We need to substitute function f(a) in g(b) function for b.

g(f(a)) = g(1.07a) = 1.07a +50.

<h3>Therefore, g(f(a)) = 1.07a +50.</h3>

We are given mattress price a = $1125.

In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.

Plugging a= $1125, we get

g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.

<h3>Therefore, total cost including delivery charges is $1253.75.</h3>

3 0

3 years ago

Read 2 more answers