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larisa86 [58]
3 years ago
12

Graph y=-1/4x+5 how do you graph this?

Mathematics
2 answers:
GrogVix [38]3 years ago
7 0

It is a linear function. The graph is a straight line.

We need only two points to plot a graph of a linear function.

Select two any x values and calculate the y values:

y=-\dfrac{1}{4}x+5\\\\for\ x=0\to y=-\dfrac{1}{4}(0)+5=0+5=5\to(0,\ 5)\\\\for\ x=4\to y=-\dfrac{1}{4}(4)+5=-1+5=4\to(4,\ 4)

Eddi Din [679]3 years ago
3 0

Hey there!!

The given equation is slope-intercept form.

... y = mx + b. In this equation, the 'b' is the y-intercept and the m i the slope.

Given:

... y = -1/4x + 5

First, we will have to place the point at ( 0,5 ) as the y-intercept is 5.

Now, taking the (0,5) as the start, we will have to place the other point after moving down one unit and 4 across as the slope is -1/4.

Hence, the two points we will get doing this are (0,5) and (4,4)

Now, we will need to connect these two points and draw arrow at the end.

We now have a line!

<em>Hope my answer helps! </em>

<em>Happy Thanksgiving! :)</em>

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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
1 year ago
Peter has 30 pens and Tony has 14 pens .How many pens must Tony give Peter so that Peter shall have 3 times as many as Tony?​
Svetradugi [14.3K]

Answer:

Let p be the number of pencils.

3(14-p)=30+p

42-3p=30+p

4p=12, p=3.

So Peter ends up with 33 and Tony with 11. 3*11=33, so that confirms that Tony gave Peter 3 pencils.

3 0
3 years ago
Jim brought a pizza and decided to share it with four of his friends his portion was twice as much as any of the others who each
natali 33 [55]

Answer:

Jim had 1/3 of of the pizza

Step-by-step explanation:

He shared a pizza with four friends, each friend had a Piece that was the same size as the other pieces, Jim had TWICE as much pizza as his friends so He had 2 pieces since he has 4 friends and each has 1 piece, so 4 + 2 = 6

2/6 simplify if, 1/3.

3 0
3 years ago
Read 2 more answers
Which facts could be applied to simplify this expression? Check all that apply.
lisov135 [29]

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

stay safe!! wash ur hands and wear a mask :D

3 0
3 years ago
It was reported that in​ 2004, the mean net worth of families in a certain region was ​$470.2 thousand and the median net worth
Kobotan [32]

Answer:

Median.

Step-by-step explanation:

We have been given that in​ 2004, the mean net worth of families in a certain region was ​$470.2 thousand and the median net worth was ​$92.3 thousand.

We know that mean and median of a symmetric data set is equal.

We also know that when mean of a data set is greater than median, then the data set has a very large valued outlier.

Since mean net wroth of families is approximately 5 times more than median net wroth of families, this means that some of the families has very high net worth as outliers.

Since the net worth of families has very large outliers, therefore, I would prefer median as the appropriate measure of center as median is not affected by outliers.

6 0
4 years ago
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