MATHEMATICS HIGH SCHOOL

What is the initial value of the equation shown?y = −7x − 6

A. −13
B. −7
C. −6
D. −1

Answers

Answer 1
Answer:

Answer:

Option C  -6

Step-by-step explanation:

we  know that

The initial value is the value of the function when the value of x is equal to zero

The initial value is the y-intercept of the function

In this problem we have

y=-7x-6 -----> equation of the line into slope intercept form

therefore

m=-7 -----> the slope

b=-6 ----> the y-intercept

The initial value is -6
Answer 2
Answer: C. −6, is the best option

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For a button to fit through its buttonhole the hole needs to be size of the buttons diameter. What size butte hole is needed for a button with a circumference of 7.38 centimeters (use the value of 3.14 to represent pi.) HELP ME PLEAS

Answers

circumference = 2πr

diameter = 2 r

7.38 = 2 r (3.14)

7.38/3.14 = 2 r

2 r = 2.35 cen.

diameter needs to be 2.35 cen.

The prism has a surface area of 1312 mm2.What would the surface area of the prism be if each dimension were halved?

mm2

Answers

so each dimention is 32 by 8 by 10
so the surface area=2 times(8 times 10)+(2 times (32 times 10))+(2 times (8 times 32))=2 times 80+2 times 320+2 times 256=1312

if halved
just divide each by 2
(2 times 4 times 5)+(2 times 16 times 5)+(2 times 4 times 16)=(2 times 20)+(2 times 80)+(2 times 64)=40+160+128=328
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. What is the slope of the line with the equation 2x + 3y + 6 = 0 ?

Answers

-2/3. You take 3y and move it to the opposite side. Then you would take the three from the 3Y and divide everything by three, so you get -2/3x+2=Y then you look at what the coefficient is in front of X and X equals -2/3, which is your slope.
2x + 3y + 6 = 0 \n \n3y=-2x-6 /:3\n \ny=-(2)/(3)x-(6)/(3)\n \ny=-(2)/(3)x-2

Answer : \ is \ your \ slope : \ \ m = -(2)/(3)

Bob and sarah need to paint a fence. bob can paint the fence in 4 hours and sarah can paint the fence in 2.5 hours. if they work together, how long will it take them to paint the fence?

Answers

If Bob can paint the fence in 4 hours, then in 1 hour he gets 1/4 of the fence painted.  If Sarah can paint the fence in 2.5 hours, then she gets 2/5 of the fence painted in one hour (1/2.5 = 2/5).  We add those amounts together and set them equal to 1/x, x being the the total time it will take them to paint the whole fence.  1/4 + 2/5 = 1/x.  Find a common denominator first, then add the left side together.  5/20 + 8/20 = 1/x.  13/20 = 1/x.  Cross-multiply to get 13x = 20 and x = 1.54 hours, just a bit over an hour and a half.

an open rectangular box with square ends is fitted with an overlapping lid that covers the top and front face determine the maximum volume of the box if 1square meter of metal is used in its construction

Answers

Volume is a three-dimensional scalar quantity. The maximum volume of the box is 0.8m³.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Surface area of the box = 2x² + 3xy

Surface area of lid = 2xy

Total area = 2x² + 5xy = 6

y = (6-2x²)/5x

Volume of the box, V = x²y

V = x²[(6-2x²)/5x] = (6x/5)-(2x³/5)

Now, for the volume to be the maximum,

dV/dx = 0

(6/5)-(6x²/5) = 0

x² = 1

x = ±1

y = 4/5

Thus, the maximum volume of the box = x²y = (1)²×(4/5) = 0.8 m³

Hence, the maximum volume of the box is 0.8m³.

Learn more about Volume:

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so would it be 8 meters because it has 8 sides 

If its £18.75 per square metre of clear plastic how much will it cost to cover 2x notice boards 1 metre high and 1 metre wide ?

Answers

just double 18.75 because the total area needed to cover is 2 square meters
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