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mr_godi [17]
4 years ago
10

Which inequality statement describes the two numbers: -13 and a number 28 units to the right of -13? A) -13 < 15 B) -13 <

28 C) 15 < -13 D) 28 < -13
Mathematics
1 answer:
zmey [24]4 years ago
7 0
We have that

case <span>A) -13 < 15
</span><span>this inequality does not describe the two numbers -13 and 28 and the number 28 to the right of -13
</span>
case B) -13 < 28 
this inequality describes the two numbers -13 and 28 and the number 28 to the right of -13

case C) 15 < -13
this inequality does not describe the two numbers -13 and 28 and the number 28 to the right of -13

case D) 28 < -13
this inequality does not describe the number 28 to the right of -13

the answer is
case B) -13 < 28 
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8 0
3 years ago
Any help with this greatly appreciated.
Anestetic [448]

Put the equation in standard linear form.

x'(t) + \dfrac{x(t)}{t + 5} = 5e^{5t}

Find the integrating factor.

\mu = \exp\left(\displaystyle \int \frac{dt}{t+5}\right) = e^{\ln|t+5|} = t+5

Multiply both sides by \mu.

(t+5) x'(t) + x(t) = 5(t+5)e^{5t}

Now the left side the derivative of a product,

\bigg((t+5) x(t)\bigg)' = 5(t+5)e^{5t}

Integrate both sides.

(t+5) x(t) = \displaystyle 5 \int (t+5) e^{5t} \, dt

On the right side, integrate by parts.

(t+5) x(t) = \dfrac15 (5t+24) e^{5t} + C

Solve for x(t).

\boxed{x(t) = \dfrac{5t+24}{5t+25} e^{5t} + \dfrac C{t+5}}

3 0
2 years ago
Find the slope of the given points (6, -10) and (-15, 15). Show your work.
charle [14.2K]

Answer:

Step-by-step explanation:

The slope of a line between two points can be calculated by dividing the difference of y values by the difference of x values

in this case

m = \frac{y_2-y_1}{x_2-x_1} = \frac{15-(-10)}{-15-6} = \frac{25}{-21} = \frac{-25}{21}

6 0
3 years ago
jack has 14 cards. by the end of the week his amount of cards has doubled. how many cards does jack have now
slava [35]

Answer:

Jack has 28 cards.

Step-by-step explanation:

To double 14, multiply 14 times 2. 14x2=28

6 0
4 years ago
Read 2 more answers
-2x + y = 0 <br><br> -7x + 3y = 2<br> ​
dsp73
This is a system of equations.
First, you set everything in terms of y.
Take the first equation and move set everything equal to y
y=0+2x
Since it’s 0, you don’t need to put it, so
y=2x works.
Then, you plug y=2x into the bottom equation, for the y.
-7x +3(2x)=2. You do this because now you have the same variable for both and it can be solved easily.
Then you can simplify.
-7x+3x = 2
Then combine like terms.
-4x = 2
Divide by -4 on each side.
x = -1/2
So, now that you have x, you can plug in your x-value back into the top equation.
-2(-1/2) + y = 0
Combine like terms
1+y=0
Get y by itself
y=-1
There you have it!
You can check by plugging in both values to any of the equations. We will use the top one here.
-2(-1/2) + (-1) =0
+1 + -1 = 0
It works!
So,
X= -1/2
Y= -1
Please rate me Brainliest answer :)
3 0
3 years ago
Read 2 more answers
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