1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shtirlitz [24]
3 years ago
7

Sharon travels a total of 60 mi to school each week. Aarushi travels 75% of the miles Sharon travels to

Mathematics
1 answer:
user100 [1]3 years ago
6 0

..................'.60

You might be interested in
Is this equation true, false or open? 9p+8=10p+7
il63 [147K]

9p+8=10p+7

9p - 10p = 7 - 8

-p = -1

p = 1

TRUE


6 0
3 years ago
These roots of the polynomial equation x^4-4x^3-2x^2+12x+9=0 are 3,-1,-1. Explain why the fourth root must be a real number. Fin
Alex787 [66]

Roots with imaginary parts always occur in conjugate pairs. Three of the four roots are known and they are all real, which means the fourth root must also be real.

Because we know 3 and -1 (multiplicity 2) are both roots, the last root r is such that we can write

x^4-4x^3-2x^2+12x+9=(x-3)(x+1)^2(x-r)

There are a few ways we can go about finding r, but the easiest way would be to consider only the constant term in the expansion of the right hand side. We don't have to actually compute the expansion, because we know by properties of multiplication that the constant term will be (-3)(1)(1)(-r)=3r.

Meanwhile, on the left hand side, we see the constant term is supposed to be 9, which means we have

3r=9\implies r=3

so the missing root is 3.

Other things we could have tried that spring to mind:

- three rounds of division, dividing the quartic polynomial by (x-3), then by (x+1) twice, and noting that the remainder upon each division should be 0

- rational root theorem

4 0
3 years ago
Read 2 more answers
Express x2- 8x + 5 in the form (x -a)2-b where a and b are integers.
bija089 [108]

Answer:

(x - 4)² - 11

Step-by-step explanation:

Given

x² - 8x + 5

To obtain the required form use the method of completing the square.

add/subtract ( half the coefficient of the x- term)² to x² - 8x

= x² + 2(- 4)x + 16 - 16 + 5

= (x - 4)² - 11

5 0
3 years ago
Read 2 more answers
Marlon's TV plan costs $40.66 per month plus $6.71 per first-run movie. How many first-run movies can he watch if he wants to ke
Liula [17]

Answer:

He can watch 8 movies

Step-by-step explanation:

100-40.66=59.34

6.71 x 8 = 53.68

therefore the most amount of movies he can watch is 8

8 0
2 years ago
Find the distance between (3, 8) and (7, -11). Round to the nearest hundredth.
Mama L [17]
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)

midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
               = ((12/2) , (-2,2))
               = (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
               = (-17/2, 18/2)
               = (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
               = (-3/2), (4 + 6)/2
               = (-1.5,5)
               y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3

y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2

y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs







4 0
3 years ago
Other questions:
  • What is the remainder of, 96 divided by 7?
    14·1 answer
  • Rachel received a $90 gift card for a coffee store. She used it in buying some coffee that cost $7.74 per pound. After buying th
    15·1 answer
  • The midpoint of AB is (-2,-1). If A is the point (3,1) what are the coordinates of point B?
    12·1 answer
  • Find all solutions of the equation in the interval [0, 2π). cotθ+ √3= 0
    10·1 answer
  • The area of a garden is given by the trinomial of g2-2g-24.the garden's length is g+4. what is the garden's width
    15·2 answers
  • Mrs. Garcia has two kinds of flowers in her garden. The ratio of lilies to daisies in the garden 3:2 if there are 15 lilies, wha
    15·2 answers
  • 1/3nr^2h;r=6,h=4 <br> Can someone help me
    5·1 answer
  • Kendra's dog has and outside pen enclosed by a fence.the area of the pen is 135 square feet of the pen is 15 feet long how wide
    13·1 answer
  • Pleas help me find the answer and show the work to this question
    9·1 answer
  • Solve the equation 5 (x + 1) = 5x
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!