Evaluate 1/4c+3d when c=6 and d=7

Alexander says that 3x + 4y is equivalent to (3)(4) + xy because of any order, any grouping. Is he correct why or why not

snow_lady [41]

Answer:

Alexander is incorrect because the expressions are not equivalent.

Step-by-step explanation:

If the expression is evaluated for any value of x, y; the result will not be same.

For instance, let assume x = 1 and y = 2

3x + 4y = 3 + 4 = 7

(3)(4) + xy = (3)(4) + (1 * 2) = 12 + 2 = 14

So, the expressions are not the same and Alexander is incorrect.

3 0

3 years ago

Selecting an SUV with a blue exterior

frozen [14]

The answer is straightforward, by the "rule of product":

There are

3×8×2=48

different combinations (distinct possible cars) that can be created.

There 33 choices for body style; 88 choices for exterior colors, and 22 choices of interior color schemes:

Since each of these choices are independent (the choice of body style doesn't depend on exterior or interior color, e.g.) we multiply the number of choices for each quality to obtain: 3×8×2=483×8×2=48 distinct ways to create a car

6 0

2 years ago

Erika is working on solving the exponential equation 50x = 17; however, she is not quite sure where to start. using complete sen

seropon [69]

The equation be 50x = 17 then the value of x = 17/50.

<h3>How to find the value of x?</h3>

To estimate the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.

Let the equation be 50x = 17

Diving both sides of the equation by 50, we get

50x/50 = 17/50

x = 17/50

Therefore, the value of x = 17/50.

To learn more about the expression refer to:

brainly.com/question/723406

#SPJ4

3 0

2 years ago

Which lines are parellele

natali 33 [55]

Line 1 and Line 4 are parallel lines

Solution:

General equation of a line:

y = mx + c

where m is the slope and c is the y-intercept of the line.

<u>To find the slope of each line:</u>

Line 1: $y=-\frac{3}{4} x-6$

Slope $(m_1)=-\frac{3}{4}$

Line 2: $y-7=-4(x+9)$

$y-7=-4x-36$

Add 7 on both sides, we get

$y=-4x-29$

Slope $(m_2)=-4$

Line 3: $y=-2 x+6$

Slope $(m_3)=-2$

Line 4: $x+\frac{4}{3} y=-5$

Subtract x from both sides, we get

$\frac{4}{3} y=-x-5$

Multiply by $\frac{3}{4}$ on both sides, we get

$y=-\frac{3}{4}x-\frac{15}{4}$

Slope $(m_4)=-\frac{3}{4}$

<em>Two lines are parallel, if their slopes are equal.</em>

From the above slopes,

$m_1=m_4$

Therefore Line 1 and Line 4 are parallel lines.

3 0

3 years ago

Graph each function as a translation of its parent function, f. How did the transformation affect the domain and range? g(x) = (

Natali [406]

Answer:

A trapezoid is shown below.

30665