Ask question

Ask question

All categories

3 years ago

14

3(2x - 1) = 1/2 (4x - 2) + 2 What would it be?

1 answer:

Novay_Z [31]3 years ago

6 0

Answer:

X = 1

Step-by-step explanation:

Just distribute properly, and distribute the fraction multiplying the numerator by 4 and 2

You might be interested in

A real estate agent makes commissions of $6,500 in January, $4,500 in February, and $4,000 in March. What is the agent's average

Andre45 [30]

M= (6500+4500+4000)/3= 15000/3=5000 $

8 0

3 years ago

Suppose whale sharks are spotted in a rectangular area off the coast of Australia. If the dimensions of this location measure 40

nydimaria [60]

Answer:

2400 miles²

Step-by-step explanation:

Given that:

Area off the coast is rectangular ;

Dimension of location :40 miles by 66 miles

The area of the location will be : the area of a rectangle ;

The area of a rectangle = Length * width

Area = 40 miles * 60 miles

Area = 2400 miles²

5 0

3 years ago

Help me i don’t know how to do this

barxatty [35]

Hi!

y = 16

x = 32

<h3 /><h3>In 30-60-90 triangles, the hypotenuse is double the length of the shortest leg, and the longer leg is $\sqrt{3}$ times the shorter leg.</h3>

We are given the longest leg. To find the shortest leg, we must divide the longest leg value by $\sqrt{3}$

$\cfrac{16\sqrt{3} }{\sqrt{3} }$

The radicals cancel out and we are left with 16.

The length of y (the shortest leg) is 16.

Now, we also know that the hypotenuse is double the shortest leg. The shortest leg is 16, so if we double that, it's 32.

8 0

2 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

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

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

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

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

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

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

The length of an object is measured as 34.8 centimeters. What is this measurement in scientific notation?

harkovskaia [24]

Answer:

34.8 x 10 to the power of 0.

Step-by-step explanation:

hope this helps

3 0

3 years ago