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ahrayia [7]
3 years ago
11

Which statement best explains why this expression is equal to 9.4? A)Any expression multiplied by 0 equals 0. B)Any number divid

ed by its opposite equals 0. C)The fraction is equal to −9.4. Any number added to its opposite results in the number itself. D)The expression does not have a value of 9.4.

Mathematics
2 answers:
tigry1 [53]3 years ago
5 0

Answer: A.

Step-by-step explanation:

yeet

Ganezh [65]3 years ago
5 0

Answer:

A.

Step-by-step explanation:

Because if you multiply out the top of the fraction to simplify it, it will equal zero. And zero divided by any number is equal to zero because no number fits into zero. So A. would be the best answer since you are multiplying an expression by zero on the top, and you can't get any number other then zero for the answer of the fraction. And 0 + 9.4 = 9.4.

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How would I solve The product of -4.6 and a number is 8.4 more than the number. Find the number.
kykrilka [37]
I don't think I know that!!!
7 0
3 years ago
A cylinder has a radius of 5 and height of 3. what is the volume
Lapatulllka [165]

Answer:

236 cubic units (to 3 significant figures)

Step-by-step explanation:

volume of a cylinder = \pir²h   (where r = radius and h = height)

Therefore, volume = \pi x 5² x 3

                               = \pi x 25 x 3

                               = 75\pi

                               = 236 cubic units (to 3 significant figures)

8 0
2 years ago
Gary just started a new job as a nurse. he is given a starting salary of $58,550 per year. he is also told that his salary will
IRINA_888 [86]

Firts we need to find the rate of change, or in other words, the slope of the line.

Question 1:

a)

For this we can take two points in the form (years, salary). Then we can define as year 0 the year when Gary starts to work. In this year the salary is $58,550. The first point is (0, $58,550)

The next point we can take is at the year 10, when the salary of Gary will be $71,950. The second point is (10, $71,950)

b) Now that we have the two points, we can use the slope formula to get the rate of change. The slope formula is, for two points A and B:

\begin{gathered} \begin{cases}A(x_a,y_a) \\ B(x_b,y_b)\end{cases} \\ m=\frac{y_a-y_b}{x_a-x_b} \end{gathered}

In this case, we can call the points A(0, $58,550) and B(10, $71,950). Using the formula:

m=\frac{58,550-71,950}{0-10}=\frac{-13400}{-10}=1340

c) "The rate of change in Gary's salary is $1340 per year."

Question 2:

a) The slope intercept form of a line is:

y-y_1=m(x_{}-x_1)

Where:

y is the output of the function.

x is the input of the function. (we provide the function with a value for x and the function give us a value of y)

m is the slope of the line. We calculate it in question 1.

x1 is the x coordinate of a point we choose.

y1 is the y-coordinate of the same point of x1.

In this case, we know:

m = 1340;

And we can take the point (0, $58,550), thus:

x1 = 0

y1 = 58,550

b) Now we need to use all this values and use the slope-intercept form:

y-58,550=1340(x-0)

And solve to get:

y=1340x+58,550

Question 3:

a) Now we have a equation for the salary, we can use this to find the salary in 13 years. We just need to replace x = 13 in the equation:

\begin{gathered} \begin{cases}y=1340x+58,550 \\ x=13\end{cases} \\ y=1340\cdot13+58,550 \\ y=75,970 \end{gathered}

B) The salary of Gary in 13 years will be $75,970.

6 0
1 year ago
help please! Darren is finding the equation in the form y = m x + b for a trend line that passes through the points (2, 18) and
andrezito [222]

Answer:  d) 14

Step-by-step explanation:

Equation of a line passing through (a,b) and (c,d):

(y-b)=\dfrac{d-b}{c-a}(x-a)

Equation of a line passing through (2, 18) and (–3, 8):

(y-18)=\dfrac{8-18}{-3-2}(x-2)\\\\\Rightarrow\ (y-18)=\dfrac{-10}{-5}(x-2)\\\\\Rightarrow\ (y-18)=2(x-2)\\\\\Rightarrow\ y-18=2x-4\\\\\Rightarrow\ y=2x-4+18\\\\\Rightarrow\ y=2x+14

Comparing resulting equation y=2x+14 to y = m x + b, we get value of b= 14.

Hence, correct option is d) 14

6 0
3 years ago
Read 2 more answers
Question 10 of 10
Nuetrik [128]

Answer:

x+9=4x-4

=) x -4x = -4-9

=) -3x = -13

=) x = 13/3

It is not the form of ax 2 +bx +c =0

8 0
3 years ago
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