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2 years ago

If y=5x - 3 find the value of y when X = 0

1 answer:

8 0

Since we know y=5x - 3 and we know that x=0 then its a matter of plugging in what we know and simplifying. y=5 x 0 - 3 we need to remember the order of operations for this problem. PEMDAS parenthesis exponent multiply divide add subtrac. Since 5 time 0 is multiplication and multiplication comes before subtracting in the oder of operations we will solve that first. 5 times 0 equals 0 since anything times 0 is 0. All that's left is to subtract 3 which gives us y=-3

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Can you please help me out with a question

Finger [1]

The standard equation of a circle is expressed as

(x - h)^2 + (y - k)^2 = r^2

where

h is the x coordinate of the center of the circle

k is the y coordinate of the center of the circle

r is the radius of the circle(the distance from the center of the circle to the circumference

From the graph,

h = - 1

y = 4

r = 5

By substituting these values into the equation, we have

(x - - 1)^2 + (y - 4)^2 = 5^2

(x + 1)^2 + (y - 4)^2 = 25

Thus, the equation of the circle is

(x + 1)^2 + (y - 4)^2 = 25

8 0

11 months ago

Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

10 months ago

There are 5 dozen eggs in a basket. 1/6 of the number of eggs are rotten and 1/10 are broken.

Vedmedyk [2.9K]

Your fraction answer would be I think 1/15

7 0

2 years ago

Mr. Soto plans to open a savings account. Four banks offer the annual interest rates shown. Which list shows these interest rate

Delvig [45]

Ok, so IDK if I'm about to do this problem right, but here we go;

so first, lets change these all to decimals (I more of a decimal gal)

3 1/2 = 3.5
3 2/3 = 3.6666 (repeating)
3 3/5 = 3.6
3 3/8 = 3.375

So now, just order them from greatest to least.

3.66666, 3.6, 3.5, 3.375.

Now, change them back to fractions.
3 2/3, 3 3/5, 3 1/2, 3 3/8

So, if I'm correct, the answer is 3 2/3%, 3 3/5%, 3 1/2%, 3 3/8%
Hopefully I solved your problem!

6 0

2 years ago

What is the general process for solving an equation with one variable?

elena55 [62]

Greetings!

"What is the general process for solving an equation with one variable?"...

Typically when solving an equation with one variable, your objective is to isolate the variable on one side of the equation. This can be done adding/subtracting number to cancel them out on one side. You can also multiply/divide coefficients in order to isolate a variable.

Example:
 $2x+4=64$
Add -4 to both sides to isolate the variable.
 $(2x+4)+(-4)=(64)+(-4)$ 
Simplify.
 $2x=60$
Divide both sides by 2 to isolate the variable on one side.
$(2x)/2=(60)/2$
$x=30$

Hope this helps.
-Benjamin

5 0

2 years ago