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4 years ago

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y

Mathematics

1 answer:

blagie [28]4 years ago

5 0

7x +2y +4 is the simplified form of this expression.

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Please help. Also it’s a picture

kiruha [24]

<h3>Answer: $580.38 (Choice B)</h3>

===================================

Work Shown:

A = P*(1+r/n)^(n*t)

A = 500*(1+0.05/4)^(4*3)

A = 580.3772588615

A = 580.38

4 0

3 years ago

Find the vertex and axis of symmetry for f(x)=2x^2-1

vfiekz [6]

<h3>Axis of symmetry is 0 and vertex is (0, -1)</h3>

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

<em><u>Given is:</u></em>

$f(x) = 2x^2 - 1$

We have to find the vertex and axis of symmetry

<em><u>The general equation is given as:</u></em>

$f(x) = ax^2 + bx + c$

Comparing with given equation,

a = 2

b = 0

c = -1

<em><u>The axis of symmetry is given as:</u></em>

$x = \frac{-b}{2a}$

$x = \frac{0}{2(2)}\\\\x = 0$

Thus axis of symmetry is 0

The x coordinate of the vertex is the same

x coordinate of the vertex = 0

h = 0

The y coordinate of the vertex is:

k = f(h)

k = f(0)

$f(0) = 2(0) - 1\\\\f(0) = 0 - 1\\\\f(0) = -1$

Thus, y coordinate of the vertex is -1

Therefore, vertex is (0, -1)

3 0

3 years ago

Jamal borrowed $15 600 for 6 years from a bank. The annual simple interest rate for the first 3 years is 1.6%. From then onward,

r-ruslan [8.4K]

Answer:

the interest owed is 1684.8

Step-by-step explanation:

Formula for simple interest =

I = Prt, where P is amount borrowed, r for interest rate and t for time.

Since the first three years is 1.6% interest we can write:

I = 15600 x 0.016 x 3

= 748.8

Then for the following 3 years the interest rate is 2%:

I = 15600 x 0.02 x 3

= 936

Adding the values gives us 1684.8

4 0

2 years ago

June is driving from brookline, massachusetts to brooklyn, new york. The cities are 200 miles apart. Pretend june lives in a wor

dolphi86 [110]

The formula that describes this function is c = 50t + 200

<h3>What is a Linear equation</h3>

A linear equation is in the form:

y = mx + b

Where y,x are variables, m is the rate of change and b is the y intercept.

Let c represent the distance june has traveled after time t.

Since the cities are 200 miles apart, hence b = 200. Also the spoeed is 50 mph, hence m = 50:

c = 50t + 200

The formula that describes this function is c = 50t + 200

Find out more on Linear equation at: brainly.com/question/14323743

6 0

2 years ago

Which describes the combined variation in the formula h=V/pie r2

Mice21 [21]

Answer:

The correct option is (c).

Step-by-step explanation:

The combined formula is given by :

$h=\dfrac{V}{\pi r^2}$ ...(1)

h is height

V is volume

r is radius

It is clear from formula (1) that h varies directly with V and inverse;y with the square of r.

Hence, the correct option is (c).

6 0

3 years ago