The correct answer among the choices presented above is option C. The expression yz(xy2z + y + x) is the completely factored form of the given equation <span>xy3z2 + y2z + xyz. When you distribute yz in option c, you will see that the answer is equal to the given equation. </span>
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n=number of nickles
q=number of quarters
d=number of dimes
4 more dmes than nickles, 3 more quarters than dimes
d+4=n
q=3+d
total value is 455 cents
10d+5n+25q=455
divide both sides by 5 to simplify
2d+n+5q=91
now we convert all to one coin
q=3+d and n+4=d
subsitute 3+d for q and n+4 for d
2(n+4)+n+5(3+d)=91
2(n+4)+n+5(3+n+4)=91
2(n+4)+n+5(n+7)=91
2n+8+n+5n+35=91
8n+43=91
minus 43 both sides
8n=48
divide both sides by 8
n=6
sub back
n+4=d
6+4=d
10=d
q=3+d
q=3+10
q=13
6 nickles
10 dimes
13 quarters
Answer:
Using the formula:

where
A is the total amount
P is the principal
I is the Simple Interest
As per the statement:
Principal(P) = 5300 rupees.
rate of interest(r) = 6.5% = 0.065
Total amount(A) = 6678 rupees.
Then using above formula we have;

Subtract 5300 both sides we get;

or

We have to find the time period.
Using formula of Simple interest:

where r is the rate of interest (in decimal)
here, r = 6.5% = 0.065
Substitute the given values top find t:

⇒
Divide both sides by 344.5 we have;

Therefore, the time period t in years is 4 years
The roots or zeros of a polynomial are the points it crosses the x-axis.
The roots of the polynomial in order from least to greatest are -5, 0 and 5
From the graph (see attachment), we have the following highlights
- <em>The graph cross the x-axis at x = -5</em>
- <em>The graph cross the x-axis at x = 0</em>
- <em>The graph cross the x-axis at x = 5</em>
The points at which the graph crosses the x-axis are the roots of the graph.
So, the roots are: -5, 5 and 5
Read more about the roots of a polynomial at:
brainly.com/question/7921963
Answer:
y=-1/4x-6
Step-by-step explanation:
The equation of a line is:
y=mx+b (slope-intercept form) where m is the slope and b is the y-intercept. x and y are the x and y coordinates for a point on the line.
Now that we know the equation, we plug in the given numbers into the equation:
y=mx+b
-8=-1/4(8)+b
-8=-2+b
b=-6
Now we know the y-intercept so the equation is:
y=-1/4x-6