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Leno4ka [110]
3 years ago
11

A construction crew is extending the length of the center line on a highway. The length of the line starts out as 6 meters long,

which is represented on a coordinate plane as the point (0,6). The crew works for 20 minutes and the line is now 17 meters long, which is represented as the point (20,17).
Complete the equation that represents the relationship between x, the number of minutes spent working, and y, the length of the line, in meters.
y =_______ x + ______
Mathematics
2 answers:
grin007 [14]3 years ago
5 0

gradient of line,m=(17-6)/(20-0)=11/20


finding equation of line using a point (20,17)


y-17=11/20(x-20)

y-17=(11/20x)-11

y=11/20x+(17-11)

y=(11/20)*x+6

baherus [9]3 years ago
4 0
Gradient of line,m=(17-6)/(20-0)=11/20

finding equation of line using a point (20,17)

y-17=11/20(x-20)
y-17=(11/20x)-11
y=11/20x+(17-11)
y=(11/20)*x+6
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How to graph 3/8 of a fraction on a number line
IRINA_888 [86]

Answer:

So you make a number line right, and make from 0 to 1. You would put 8 dashes between 0 and 1. Once you finished that, you would go to the third dash, and that will be 3/8 on a number line.

Step-by-step explanation:

I hope this helps! :)

6 0
3 years ago
Emily made 75% of the baskets that she attempted if she may nine baskets how many attempts did you make?
Aneli [31]
Set up a proportion

75/100= 9 baskets/ x attempts

The ratio of numerator to denominator should be 75/100 which simplifies to 3/4. 3/4= 9/x
3*3=9, 4*3=12

x=12

Final answer: 12 attempts
8 0
3 years ago
2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
What if I can't answer the questions you give me​
Leviafan [203]

Answer:

can u help answer mine

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Simplify the expression <br> -7(3e-2f+4)+6e-2
Shkiper50 [21]

Answer: here it is 14f-30-15e

5 0
3 years ago
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