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shepuryov [24]
3 years ago
11

Help me on 8 and 9 plz

Mathematics
1 answer:
klasskru [66]3 years ago
5 0
8. first 12 bags for 54m^{2} [/tex]  
 54 ÷ 12 = 4.5
we know: 1 bag for 4.5m^2
36 ÷ 4.5 = 8
so 36m^2 we must use 8 bags

9. \frac{5}{8}x2 =5x2/8= 10/8 = 5/4 = 1.25

 hope it helped you
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What is the quotient of (x3 + 6x2 + 11x + 6) ÷ (x2 + 4x + 3)? x + 2 x – 2 x + 10 x + 6
evablogger [386]

Answer:

x + 2

Step-by-step explanation:

If we know one of the factors, we should be able to use long division.

We can divide the trinomial by the binomial and find the other factor.

                 <u>x  +  2</u><u>                   </u>

x² + 4x + 3)x³ + 6x² + 11x + 6

                  <u>x³ + 4x² + 3x</u>

                         2x² + 8x + 6

                         <u>2x² + 8x + 6</u>

                                           0

Thus,

\dfrac{x^{3} + 6x^2 + 11x + 6} {x^{2} + 4x + 3} = \mathbf{x + 2}

6 0
3 years ago
Given a polynomial f(x), if (x − 4) is a factor, what else must be true?
ollegr [7]

Answer:

f(4)=0


Step-by-step explanation:

<em>The </em><em>Remainder Theorem</em><em> states that when you divide a polynomial f(x)  by a linear factor  (x-a) , where a  is a constant, the remainder is f(x)  evaluated at x=a</em>

<em>Moreover, according to the </em><em>Factor Theorem</em><em>, an extension of the Remainder Theorem, if the remainder of the function f(x) is </em><em>0</em><em> when evaluated at x=a , then (x-a)  is said to be a factor of the polynomial f(x)</em>

Given the 2 theorems above, it follows that if (x-4)  is a factor of f(x) , then the remainder is equal to 0 when f(x) is evaluated at x=4

Which means f(4)=0

Third answer choice is correct.


3 0
3 years ago
Read 2 more answers
The equation for line r can be written as y=-1/4x+3. Line s which is parallel to lone r includes the point (-4,3). What is the e
MaRussiya [10]

Answer:

y=-\frac{1}{4}x+2

Step-by-step explanation:

Hi there!

<u>What we need to know:</u>

  • Linear equations are typically organized in slope-intercept form:y=mx+b where m is the slope and b is the y-intercept (the value of y when x is 0)
  • Parallel lines always have the same slope

<u>1) Determine the slope of line S using line R (m)</u>

y=-\frac{1}{4} x+3

We can identify clearly that the slope of the line is -\frac{1}{4}, as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be -\frac{1}{4}. Plug this into y=mx+b:

y=-\frac{1}{4}x+b

<u>2) Determine the y-intercept of line S (b)</u>

y=-\frac{1}{4}x+b

Plug in the given point (-4,3) and solve for b

3=-\frac{1}{4}(-4)+b\\3=1+b

Subtract 1 from both sides to isolate b

3-1=1+b-1\\2=b

Therefore, the y-intercept is 2. Plug this back into y=-\frac{1}{4}x+b:

y=-\frac{1}{4}x+2

I hope this helps!

6 0
3 years ago
A farmer owns pigs, chickens, and ducks. When all her animals are together, she has 30 feathered animals, and the animals all to
tatiyna

To solve this problem, let us first assign some variables. Let us say that:

x = pigs

y = chickens

z = ducks

 

From the problem statement, we can formulate the following equations:

1. y + z = 30                                         ---> only chicken and ducks have feathers

2. 4 x + 2 y + 2 z = 120                      ---> pig has 4 feet, while chicken and duck has 2 each

3. 2 x + 2 y + 2 z = 90                        ---> each animal has 2 eyes only

 

Rewriting equation 1 in terms of y:

y = 30 – z

Plugging this in equation 2:

4 x + 2 (30 – z) + 2 z = 120

4 x + 60 – 2z + 2z = 120

4 x = 120 – 60

4 x = 60

x = 15

 

From the given choices, only one choice has 15 pigs. Therefore the answers are:

She has 15 pigs, 12 chickens, and 18 ducks.

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3 years ago
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P (A and B) = P(A) * P(B)...answer is D
8 0
3 years ago
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