Answer:
32 purple marbles.
Step-by-step explanation:
Turn 3:8 into 3x+8x.
Equation:
3x+8x=44
x=4
Now, refer back to 3x:8x. We know that x=4, so 4*8=32.
32 purple marbles.
Answer:
There are 32 purple marbles and 12 red marbles
Step-by-step explanation:
The ratio is 3:8 and the total is 44. For 3 red marbles, they have 8 purple marbles but we don't know how many each marble we need if the total sum is 44. So we do...
3x+8x=44
11x=44
x=4
We need to know the number of purple marbles so we do,
8*4=32
Answer:
y = -8
Step-by-step explanation:
Y2 - Y1/ X2 - X1
-8 - (-8) / -1 - (-8)
0 / 7
m = 0
y = mx + b
-8 = 0(-8) + b
-8 = 0 + b
-8 = b
y = -8
Answer:
5+3g
Step-by-step explanation:
This is because you pay $5 for shoes and $3 per game. Since the amount of games is unknown you put g.
Answer: its systematic sampling
Step-by-step explanation:
Systematic sampling is a type of technique for creating a random probability sample in which each piece of data is chosen at a fixed interval for inclusion in the sample.
The rate of change of y is proportional to y. when x=0, y=4 and when x=3, y=10 then the value of y is 12 when x =6.
The two points from the given information are (0, 4) and (3, 10).
Let us find the
=6/3
=2
Now let us find the y intercept to write the equation in slope intercept form.
Consider the point (0, 4) to find y intercept.
Plug in the point values in slope intercept form:
4=2(0)+b
Solve for b:
b=4
The equation in slope intercept form is y=2x+4.
Now let us find the value of y when x=6.
Plug in x as 6 in the equation y=2x+4.
y=2(6)+4
y=12+4
y=16
Hence, the value of y is 16 when x is 6.
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We know x+y=0; so, if x=6 y= -6
Answer:
1. 6,200
2. 13 and 26
Step-by-step explanation:
20x2 – 12x + 30x – 18
6x3 + 14x2 – 12x – 28
8x3 + 20x2 + 3x + 12
11x4 + 4x2 – 6x2 – 16
Prime polynomials are those polynomials that are not factored into lower degree polynomial. The options that are prime polynomials are 1), 4), and 5).
Evaluate all options in order to check that the polynomials are prime or not:
1).
5x(3x + 2) - (9x - 7)
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
2).
(4x + 6)(5x - 3)
So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
3).
So, this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.
4).
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
5).
So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.
For more information, refer to the link given below:
Answer:
The prime polynomials are 1, 4 and 5
Step-by-step explanation:
Given some polynomials we have to classify the polynomials prime or not.
Prime polynomials are the polynomial with integer coefficients that cannot be factored into lower degree polynomials.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
⇒
⇒
hence, not a prime polynomial.
⇒
⇒
hence, not a prime polynomial.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
⇒
can't be factored into lower degree polynomial ∴ prime polynomial.
The prime polynomials are 1, 4 and 5