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4 years ago

9

Jason is participating in a walkathon. He writes the equation m=2d+50 to represents the amount of money m(money) he collects fro

m each sponsor for walking d (distance) kilometers. What member represents the rate of change?

1 answer:

kirill [66]4 years ago

6 0

Answer:

What is the test that you can do to tell if a graph represents a function?

A

the horizontal line test

B

the vertical line test

C

the expression test

D

the litmus test

Step-by-step explanation:

d

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The current population of a threatened animal species is 1.2 million, but it is declining with a half-life of 20 years. How many

Allisa [31]

$Rate:\frac{1,200,000}{20}$
$Unit\ Rate:\frac{60,000}{2} = 30,000$

$25\ Years:750,000$
$55\ Years:1,650,000$

6 0

3 years ago

Which of the following is a solution of x2 + 5x = −2?

adoni [48]

X^2 + 5x = -2
x^2 + 5x + 2 = 0

x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2

x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2

answer is : negative 5 plus or minus the square root of 17 divided by 2

4 0

3 years ago

Read 2 more answers

Miranda has a bag of marbles with 5 blue marbles, 1 white marbles, and 1 red marbles. Find the following probabilities of Mirand

kvasek [131]

Answer:

(a) $\frac{5}{7},\frac{1}{6}$ (b) $\frac{1}{7},\frac{1}{6}$ (c) $\frac{5}{7},\frac{2}{3},\frac{3}{5}$

Step-by-step explanation:

GIVEN: Miranda has a bag of marbles with $5$ blue marbles, $1$ white marbles, and

TO FIND: a) A Blue, then a red Preview

,b)A red, then a white Preview

,c) A Blue, then a Blue, then a Blue.

SOLUTION:

Total marbles in bag $=7$

(a)

Probability of drawing blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{5}{7}$

As marble is not returned to bag,

Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{6}$

(b)

Probability of drawing red marble $=\frac{\text{total red marble}}{\text{total marbles}}$

$=\frac{1}{7}$

As marble is not returned to bag,

Probability of drawing white marble $=\frac{\text{total white marble}}{\text{total marbles}}$

$=\frac{1}{6}$

(c)

Probability of drawing blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{5}{7}$

As marble is not returned to bag,

Probability of drawing second blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{4}{6}=\frac{2}{3}$

As marble is not returned to the bag

Probability of drawing third blue marble $=\frac{\text{total blue marble}}{\text{total marbles}}$

$=\frac{3}{5}$

8 0

3 years ago

PLS HELP! GIVING BRAINLIST!

svlad2 [7]

Answer:

We conclude that (4, 2) is NOT a solution to the system of equations.

Step-by-step explanation:

Given the system of equations

$y = x - 2$

$y = 3x + 4$

Important Tip:

In order to determine whether (4, 2) is a solution to the system of equations or not, we need to solve the system of equations.

Let us solve the system of equations using the elimination method.

$\begin{bmatrix}y=x-2\\ y=3x+4\end{bmatrix}$

Arrange equation variables for elimination

$\begin{bmatrix}y-x=-2\\ y-3x=4\end{bmatrix}$

Subtract the equations

$y-3x=4$

$-$

$\underline{y-x=-2}$

$-2x=6$

Now, solve -2x = 6 for x

$-2x=6$

Divide both sides by -2

$\frac{-2x}{-2}=\frac{6}{-2}$

Simplify

$x=-3$

For y - x = -2 plug in x = -3

$y-\left(-3\right)=-2$

$y+3=-2$

Subtract 3 from both sides

$y+3-3=-2-3$

Simplify

$y=-5$

The solution to the system of equations is:

(x, y) = (-3, -5)

Checking the graph

From the graph, it is also clear that (4, 2) is NOT a solution to the system of equations because (-3, -5) is the only solution as we have found earlier.

Therefore, we conclude that (4, 2) is NOT a solution to the system of equations.

8 0

3 years ago

Jamal states that ax + b = a(x + c), given a, b, and c are not equal to 0. What must be the value of c for Jamal's statement to

Anna35 [415]

ANSWER

For Jamal statement to be true,

$c = \frac{b}{a}$

EXPLANATION

The given statement is:

ax + b = a(x + c)

We expand the left hand side to obtain,

ax + b = ax + ac

Subtract ax from from both sides of the equation.

b=ac

We know that, a≠0 , so we can divide through by 'a'.

$\frac{b}{a} = c$

6 0

4 years ago