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3 years ago

Do all graphs of linear equations in two variables have a y intercept?

Mathematics

1 answer:

Gelneren [198K]3 years ago

8 0

Answer:

Yes and no because not all are in the y intercept it depends

Step-by-step explanation:

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Book costs $5.25 plus sales tax. After sales tax, the book is $5.58. What is the sales tax rate?

Karolina [17]

5,25-5,58=0,33

The answer is $0,33

8 0

3 years ago

Read 2 more answers

If u can answer these please do

enot [183]

Answer:

1) 8.5x10^8

2) 5.3x10^-3

3) 9.95x10^12

Step-by-step explanation:

Since they have the same exponents, you just add or subtract and leave the rest the same.

1) 8.5x10^8

2) 5.3x10^-3

3) 9.95x10^12

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3 years ago

Read 2 more answers

You have been asked to design a can shaped like right circular cylinder that can hold a volume of 432π-cm3. What dimensions of t

rosijanka [135]

Answer:

$Height = 12cm$

$Radius = 6cm$

Step-by-step explanation:

Given

Represent volume with v, height with h and radius with r

$V = 432\pi$

Required

Determine the values of h and r that uses the least amount of material

Volume is calculated as:

$V = \pi r^2h\\$

Substitute 432π for V

$432\pi = \pi r^2h$

Divide through by π

$432 = r^2h$

Make h the subject:

$h = \frac{432}{r^2}$

Surface Area (A) of a cylinder is calculated as thus:

$A=2\pi rh+2\pi r^2$

Substitute $\frac{432}{r^2}$ for h in $A=2\pi rh+2\pi r^2$

$A=2\pi r(\frac{432}{r^2})+2\pi r^2$

$A=2\pi (\frac{432}{r})+2\pi r^2$

Factorize:

$A=2\pi (\frac{432}{r} + r^2)$

To minimize, we have to differentiate both sides and set $A' = 0$

$A'=2\pi (-\frac{432}{r^2} + 2r)$

Set $A' = 0$

$0=2\pi (-\frac{432}{r^2} + 2r)$

Divide through by $2\pi$

$0= -\frac{432}{r^2} + 2r$

$\frac{432}{r^2} = 2r$

Cross Multiply

$2r * r^2 = 432$

$2r^3 = 432$

Divide through by 2

$r^3 = 216$

Take cube roots of both sides

$r = \sqrt[3]{216}$

$r = 6$

Recall that:

$h = \frac{432}{r^2}$

$h = \frac{432}{6^2}$

$h = \frac{432}{36}$

$h = 12$

Hence, the dimension that requires the least amount of material is when

$Height = 12cm$

$Radius = 6cm$

3 0

3 years ago

Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes

Alenkasestr [34]

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.

6 0

3 years ago

What is the value of y? Enter your answer in the box. y = An isosceles triangle with vertices labeled A, B, and C. Side B C is t

masha68 [24]

Answer:

$y = 5$

Step-by-step explanation:

Given:

An isosceles triangle ABC with AB = AC.

∠A = $(4y+10)\°$

∠B = $75\°$

∠C = $(3x)\°$

We know that, for an isosceles triangle, the angles opposite equal sides are also equal to each other.

Therefore, ∠B = ∠C

⇒ $75 = 3x$

⇒ $x=\frac{75}{3}=25$

∴ ∠C = $3\times 25=75$ °

Now, the sum of all the interior angles of a triangle is always 180°.

$\angle A + \angle B + \angle C=180\\(4y+10)+75+75=180\\4y+10+150=180\\4y+160=180\\4y=180-160\\4y=20\\y=\frac{20}{4}=5$

Therefore, the value of 'y' is 5.

5 0

3 years ago