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Kazeer [188]
3 years ago
9

How many times can 12 go into 51?

Mathematics
1 answer:
slega [8]3 years ago
7 0
51÷12= 4.25

just remember when your wondering how many times a number goes into something, divide the something by the number
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Y - 4x = -2<br> 2y - 8x = -4
Fudgin [204]

Answer:

Using substitution method

First make y in equation 1 the subject of formula

Y=4x-2

Sub in equation 2

2(4x-2)-8x=4

8x-4-8=4

8x=4+12

8x=16

X=2

Sub in any of equation to get y

Step-by-step explanation:

Y =4(2)-2=6

3 0
3 years ago
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H(x) = x4+ 2x3- 10x2 -18x+9
vichka [17]
Let's group the cubic function: h(x)=x^4+2x^3-10x^2-18x+9=(x-3)(x+3)(x^2+2x-1).

The first two roots are \pm3 however to find the last two roots we need to solve the square equation:

x^2+2x-1=0&#10;\\D=b^2-4ac=2^2-4\cdot1\cdot(-1)=8. Now we know the discriminator, using the discriminator we're able to find the roots of the equation: x_{1,2}=\frac{-b\pm\sqrt{D}}{2a}=\frac{-2\pm\sqrt{8}}{2}=\frac{-2\pm2\sqrt{2}}{2}=\frac{2(\sqrt{2}\pm1)}{2}. The roots of the square equation are x_{1}=-1-\sqrt{2} and x_{2}=\sqrt{2}-1.

The roots of the cubic function are \pm3, -1-\sqrt{2} and \sqrt{2}-1.
5 0
3 years ago
Read 2 more answers
A line, y = mx + b, passes through the point (1, 6) and is parallel to
docker41 [41]

Answer:

Step-by-step explanation:

Let the line to be found be Line 2

Given:

Line 1 :

y = 4x + 6

Since y = mx + b

We can substitute and find that the slope of Line 1 is 4

Therefore slope of Line 2 = (4)

Line 2:

Point - (1,6)

Slope - 4

Therefore: 6 = (4)(1) + b

So equating it we get : b = 2

<h2><u>Answer = 2</u></h2>

<u />

3 0
3 years ago
Please send me the answer with an explanation
maria [59]

Answer:

6 cm² + 6 cm²

12 cm²

surface area of the cuboid=12cm²-2 cm²

=10 cm²

8 0
3 years ago
The fuel tank in Mr. Swenson’s car holds 16.5 gallons of fuel.
Masteriza [31]
Given:
Fuel tank : 16.5 gallons of fuel
1 gallon = 24.3 miles
250 miles traveled

250 miles / 24.3 miles = 10.29 
10.29 * 1 gallon = 10.29 gallons

16.5 gallons - 10.29 gallons = 6.21 gallons of fuel remaining. 

16.5 gallons * 24.3 miles = 400.95 miles
400.95 miles - 250 miles = 150.95 miles
150.95 miles / 24.3 miles = 6.21 gallons of fuel remaining
6 0
4 years ago
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