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3 years ago

Which of the following statements is false?

Mathematics

2 answers:

Sonja [21]3 years ago

4 0

The second one is incorrect

lara [203]3 years ago

4 0

The last one is incorrect because the absolute value sign basically cancels the negative and makes it positive 5 !

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Find the constant of proportionality k. Then write an equation for the relationship between x and y

ExtremeBDS [4]

Question:

Find the constant of proportionality k. Then write an equation for the relationship between x and y

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Answer:

(a) $k = 5$

(b) $y = 5x$

Step-by-step explanation:

Given

$\begin{array}{ccccc}x & {2} & {4} & {6} & {8} \ \\ y & {10} & {20} & {30} & {40} \ \ \end{array}$

Solving (a): The constant of proportionality:

Pick any two corresponding x and y values

$(x_1,y_1) = (2,10)$

$(x_2,y_2) = (6,30)$

The constant of proportionality k is:

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

$k = \frac{30-10}{6-2}$

$k = \frac{20}{4}$

$k = 5$

Solving (b): The equation

In (a), we have:

$(x_1,y_1) = (2,10)$

k can also be expressed as:

$k = \frac{y- y_1}{x- x_1}$

Substitute values for x1, y1 and k

$5 = \frac{y- 10}{x- 2}$

Cross multiply:

$y - 10 = 5(x - 2)$

Open bracket

$y - 10 = 5x - 10$

Add 10 to both sides

$y - 10 +10= 5x - 10+10$

$y = 5x$

6 0

3 years ago

Jacob bought a magazine for $2.80 and three candy bars. Write an expression for how much Jacob paid.

harkovskaia [24]

Answer:

total = 2.8 + 3x

x is the price of the candy bars

4 0

2 years ago

A student borrows $12,000 at a simple interest rate of 4.5% for 5 years. How much interest is ones at the end of 5 years, and wh

Step2247 [10]

Answer:

$12,000(1+\frac{4.5}{100}*5)=12,000(1.225)=\$14,700$

Step-by-step explanation:

Simple interest is where interest is only accumulated on the principle, so at 4.5% for 5 years, 22.5% is added to the principal.

5 0

2 years ago

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!

Trava [24]

The answer is exponential decay

5 0

2 years ago

How to solve<br> ([120-2+(46-15)+2]-(9+4)

NNADVOKAT [17]

Answer:138

Step-by-step explanation:

6 0

3 years ago