MATHEMATICS HIGH SCHOOL

Can somebody help me with number four plz

Answers

Answer 1

Answer:

Step-by-step explanation:

$30.32/8 = $3.79 per gallon

4. (a)

Weight of single gallon = 41.7/5 = 8.34 pounds

(b)

Weight of 70 gallons = 70*8.34 =

583.8 pounds

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Whats the factored form of 6x 2 - 8x - 8 = 0

Answers

Answer:

2(x -2)² = 0

Step-by-step explanation:

2(x² - 4x - 4) = 0

2(x -2)² = 0

x = 2

Answer:

$2(3x-2)(x+2)=6x^2-8x-8$

The factored form of $6x^2-8x-8=0$ is $2(3x-2)(x+2)=0$

Step-by-step explanation:

$6x^2-8x-8=0$

The way the quadratic equation was given, we can't have a factored form in the format: $(ax-b)(cx+d)$

First, divide both sides by 2

$3x^2-4x-4=0$

Now, it is about thinking. From the equation, we will get something in the format: $(ax-b)(cx+d)$

Let's expand this: $(ax-b)(cx+d) = acx^2+adx-bcx-bd$

From here, we can give some values for those variables, based on the quadratic equation $3x^2-4x-4=0$ :

$(3x-b)(x+d) = 3\cdot 1\cdot x^2+3dx-b\cdot 1 \cdot x-bd= \boxed{3x^2+3dx-bx-bd}$

Once we want the middle term to be -4 and bd to be 4, we can easily evaluate the other variables.

$(3x-2)(x+2) = 3\cdot 1\cdot x^2+3(2)x-(2)\cdot 1 \cdot x-(2)(2)= \boxed{3x^2+6x-4x-4}$

Therefore,

$(3x-2)(x+2)=3x^2-4x-4$

But we are not ready yet!

This is the factored form of $3x^2-4x-4=0$ , to get the factored form of the problem equation, just multiply the factored form we got by 2.

$2(3x-2)(x+2)=6x^2-8x-8$

Find the value of y if given: 20y-2, 17y +3, 5x + 8, 21x

Answers

20y-2=
20y=2
20y/20=2/20
y=0.1

17y +3=
17y=-3
17y/17=-3/17
y=-0.176

A payphone service charges $5.00 for the first three minutes and $1.00 for every minute additional or fraction thereof. How much will a caller have to pay if his call lasts for 8 minutes?

Answers

The caller would have to pay $10

If the volume of a cylinder is 75pi cubic inches and the height is 3 inches then what is the radius of the base of the cylinder?

Answers

The formula for the volume of a cylinder is:

V=π*r²*h

We already know that...

V=75π
&
h=3in
so we can solve for the radius

V=π*r²*h
75π=π*r²*3
Divide both sides by pi
75=r²*3
Divide both sides by 3
25=r²
find the square root of both sides
5in=r

The radius of the base of the cylinder is 5in

Answer= 5in.

If David plays 3 tennis matches every week for 9 weeks, how many matches will he play altogether

Answers

If he plays 3 matches a week for 9 weeks, you have to multiply 3&9.
3*9=27
Daniel will have played 27 tennis matches by the end of the 9 weeks.
Hope this helps:)

9 weeks* (3 matches/ 1 week)= 27 matches.
(Note that the unit cancels out so you get the answer)

The final answer is 27 matches~

Are you able to answer exam questions for school?

Answers

No, Not for tests and exams. Only for home work.

Weather its a project, exam, or actual schoolwork, then no. This site is strictly for homework.

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