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Dafna11 [192]
3 years ago
10

IF CORRECT, WILL GET BRAINLIST

Mathematics
1 answer:
xz_007 [3.2K]3 years ago
7 0
You didn’t put the question
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Juniper drives at a constant speed on the highway towards Exit 34. The graph below shows the distance, in miles, that Juniper is
pashok25 [27]

Answer:

Options (2) and (4)

Step-by-step explanation:

Option (1)

The slope of the graph is 60.

From the graph attached,

Slope = \frac{\text{Rise}}{\text{Run}}

         = \frac{-210}{3.5}

         = - 60

False.

Option (2)

y-intercept gives the initial distance, in miles from Exit 34.

True.

Option (3)

y-intercept of the graph is 3.5

Since, y-intercept of the graph is 210.

Therefore, Option (3) is False.

Option (4)

Slope gives the rate, in miles per hour, at which the distance to Exit 34 changes over time.

True.

5 0
3 years ago
A rectangle has an area of 96 sq ft if the width of the yard is 4 ft less than the length, what is the perimeter in ft of the ya
Veronika [31]
The area of a rectangle is obtained through the equation,
  
                                  A = L x W 

The width of the yard is 4 ft less than the length and may be expressed as L - 4. Length may be solved through the following steps,
   
                               A = (L)(L-4)   ; 96 = L(L - 4)    ; L = 12 ft

The length and width are 12 ft and 8 ft, respectively. Perimeter may be solved through the equation,
 
                                           P = 2 x (L + W)

Substituting the values of L and W
 
                                           P = 2 x ( 12 ft + 8 ft) = 40 ft

Therefore, the perimeter of the yard is 40 ft. 




6 0
3 years ago
What is 40+70 answer fast!!!!
IceJOKER [234]

Answer:

110

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Sorry u can’t rlly see it but it’s rlly late and it’s due in an hour
Mrac [35]

Answer:

If you subtract $44, 090 from $68, 450 you'll get $24, 360, so thats how much more she'll earn with a bachelor's degree.

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A manufacturer wants to make open tin boxes from pieces of tin with dimensions 8 in. by 15 in. by cutting equal squares from the
Stells [14]

Answer:

\frac{5}{3} in

Step-by-step explanation:

Let x be the side of square.

Length of box=8-2x

Width of box=15-2x

Height of box=x

Volume of box=L\times B\times H

Substitute the values then we get

Volume of box=V(x)=(8-2x)(15-2x)x=(15x-2x^2)(8-2x)

V(x)=120x-30x^2-16x^2+4x^3

V(x)=4x^3-46x^2+120x

Differentiate w.r.t x

V'(x)=12x^2-92x+120

V'(x)=0

12x^2-92x+120=0

3x^2-23x+30=0

3x^2-18x-5x+30=0

3x(x-6)-5(x-6)=0

(x-6)(3x-5)=0

x-6=0\implies x=6

3x-5=0\implies x=\frac{5}{3}

Again differentiate w.r.t x

V''(x)=24x-92

Substitute x=6

V''(6)=24(6)-92=52>0

Substitute x=5/3

V''(5/3)=24(5/3)-92=-52

Hence, the volume is maximum at x=\frac{5}{3}

Therefore, the side of the square ,x=\frac{5}{3} in cutout that gives the box the largest possible volume.

5 0
3 years ago
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