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3 years ago

Explain whether the following statement is true or false

Mathematics

1 answer:

kkurt [141]3 years ago

3 0

Answer:

There is a constant rate of change of both money raised and distance, so the function is linear. But the variables do have a proportional relationship, and the graph includes the point (0, 0)—0 dollars will be raised by a person who runs 0 miles. So this is a proportional function.

Step-by-step explanation:

You might be interested in

1/3 of a number is 4 less than 1/2 of the number, the number is

ivolga24 [154]

Answer:

Step-by-step explanation:

1/2x=3/4x−3⇒2x=3x−12⇒x=12

3 0

3 years ago

Write the slope-intercept form of the equation of the line.<br><br> y − 3 = −12(x − 4)

Gala2k [10]

Answer:

y= -1/2x +10

Step-by-step explanation:

i did the math it might be wrong tho but i dont think so

5 0

3 years ago

Information reference tables what is the solution set of the equation log4 (x2 + 3x) − log4 (x + 5) = 1?

faust18 [17]

Use this property of logarithms:

$\log_b\left(\dfrac{x}{y}\right)=\log_b x-\log_b y$

Your equation transforms into:

$log_4\left(\dfrac{x^2+3x}{x+5}\right)=1$

Now, you have to apply the definition of a logarithm to express the equation in exponential form:

$\dfrac{x^2+3x}{x+5} = 4^1$

In case you don't remember, this is the definition of a logarithm:

$\log_b x = y \iff b^y = x$

The log is the exponent (y) you have to raise the base (b) to in order to get the power (x).

Finally, solve the rational equation:

$\dfrac{x^2+3x}{x+5} =4 \iff x^2+3x=4(x+5)$
$\iff x^2-x-20=0$
$\iff x=\dfrac{1\pm\sqrt{(-1)^2-4\cdot(-20)}}{2}= \left \{ {{5} \atop {-4}} \right.$

The correct answer is d.

5 0

3 years ago

Two fair dice are rolled at the same time. What is the probability that one die will show 3 and the other will show 4? A. 1/36

Olin [163]

Answer:

1/36

Step-by-step explanation:

There are 6 numbers on a die. You have a 1/6 chance of rolling a 3 and a 1/6 chance of rolling a 4. 1/6 times 1/6 = 1/36.

5 0

3 years ago

Is it possible to build a triangle with inside angles of 90 degrees , 50 degrees, and 60 degrees?

N76 [4]

Answer:

Step-by-step explanation:

Given: Angles of a triangle are equal to 90 degrees , 50 degrees, and 60 degrees

To check : if it possible to build a triangle with given angles

Solution:

According to angle sum property of a triangle, sum of angles of a triangle is equal to $180^{\circ}$

Here,

sum of given angles = $90^{\circ}+50^{\circ}+60^{\circ}=200^{\circ}\neq 180^{\circ}$

Therefore, it is <u>not possible</u> to construct a triangle with given angles.

7 0

3 years ago