Answer:
There are no solutions.
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
4x/5+2/3+1x/5=x
4/5x+2/3+1/5x=x
(4/5x+1/5x)+(2/3)=x(Combine Like Terms)
x+23=x
x+23=x
Step 2: Subtract x from both sides.
x+2/3−x=x−x
2/3=0
Step 3: Subtract 2/3 from both sides.
2/3−2/3=0−2/3
0=−2/3
Answer:
There are no solutions.
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means
1 minute is equal to --------> 6°
16 minutes----------> X
x=16*6-----> 96°
the length of a circumference=2*pi*r
for r=8 in
the length of a circumference=2*pi*8-----> 50.24 in
if 360° (full circle) has a length of----------------> 50.24 in
96°---------------------------> x
x=96*50.24/360------> x=13.40 in
the answer is
13.40 in
Answer:

The domain for x is all real numbers greater than zero and less than 5 com
Step-by-step explanation:
<em><u>The question is</u></em>
What is the volume of the open top box as a function of the side length x in cm of the square cutouts?
see the attached figure to better understand the problem
Let
x -----> the side length in cm of the square cutouts
we know that
The volume of the open top box is

we have



substitute

Find the domain for x
we know that

so
The domain is the interval (0,5)
The domain is all real numbers greater than zero and less than 5 cm
therefore
The volume of the open top box as a function of the side length x in cm of the square cutouts is

Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
Answer:
3, and -3
Step-by-step explanation:
Because absolute value is the distance away from zero, |3| and |-3| would both be 3 units away from 0. Be sure to have the negative on the inside if you're trying to make something positive, otherwise -|3| means that the absolute value of 3 would then become negative since the negative sign isn't a part of the absolute. hope this helps!