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Vitek1552 [10]
3 years ago
14

4. There are seven days in a week. How many days are there in 16 weeks?

Mathematics
1 answer:
lesya692 [45]3 years ago
8 0

Answer:

There are 112 days in 16 weeks

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Write a linear equation that contains the ordered pair shown in the table below:
Amiraneli [1.4K]

Answer:

y=2x-4

Step-by-step explanation:

Let the equation of line is y=mx+b, where m is the slope of the line.

It passes through (-5,-14),(-2,-8)\ and\ (1,-2).

(<em>Slope of the line</em> joining (x_1,y_1)\ and\ (x_2,y_2)=\frac{y_2-y_1}{x_2-x_1})

Hence slope of the given line

m=\frac{-8(-14)}{-2-(-5)}=\frac{-8+14}{-2+5}=\frac{6}{3}=2

Equation of line is: y=2x+b

The line passes through (1,-2)

-2=2\times 1+b\\b=-2-2\\b=-4

Check if (-5,-14) is on the line y=2x-4

L.H.S.=-14\\R.H.S.=2\times (-5)-4=-10-4=-14\\L.H.S.=R.H.S.

Hence line passes through (5,-14).

Check if (-2,-8) is on the line y=2x-4

L.H.S.=-8\\R.H.S.=2\times (-2)-4=-4-4=-8\\L.H.S.=R.H.S.

Hence line passes through (-2,-8).

4 0
3 years ago
Factor f(x) = 4x3 + 15x2 – 24x + 5 into linear factors given that - 5 is a zero of f(x).15f(x) = 4x3 + 15x2 - 24x + 5 =(Factor c
Basile [38]

If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )

To find the other two factors we can divide the polynomial by the expression (x+5).

Using synthetic division, we have:

-5 I 4 15 -24 5 (Coefficients of the dividend)

I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)

-----------------------------------------------------------------------------------

4 -5 1 0 (Coefficients of the quotient)

The result of the division is 4x^2 - 5x + 1. Factoring it, we have:

4x^2 - 4x -x + 1 (Separating -5x into -x and -4x)

4x (x - 1) - (x -1) (Factoring each pair of terms)

(x-1)(4x-1) (Factoring using the common factor)

So the answer would be:

(x + 5 )(x-1)(4x-1)

3 0
9 months ago
There are four red ,four blue, and two green marbles in a bag .if one marble is chosen at random from the bag what is the probab
mina [271]

Answer:

There is a 20% probablity that the marble will be green :)

Step-by-step explanation:

  • There are a total of 10 marbles in the bag. 4 red+4 blue+ 2green=10
  • There are two green marbles out of the 10 marbles.  2/10
  • 2 divided by 10 is .20 or 20%
  • Therefore, there is a 20% probability that the marble will be green.
7 0
2 years ago
Select the graph that represents the solution to the following inequality: Ix-3I&lt;3
Dominik [7]
The correct answer is:  Answer choice:  [C]:_________________________________________________→  {the number line/ graph provided for choice:  [C] ;  as follows}:_________________________________________________

4 0
3 years ago
Solve 2a 2 - 3a - 2 = 0<br><br> {-1/2, 2}<br> {1/2, -2}<br> {}
d1i1m1o1n [39]
Apply slip and slide
a^2-3a-4
(a-4)(a+1)
(a-2)(2a+1)

Find zeros
a-2=0
a=2

2a+1=0
2a=-1
a=-1/2

Final answer: {-1/2, 2}
8 0
2 years ago
Read 2 more answers
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