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3 years ago

HELP I GIVE 15 POINTS

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

8 0

Answer:

Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

His car get 32.4 miles per gallon

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Start with x2 + 4x = 12 and complete the square, what is the equivalent equation?

IgorLugansk [536]

Answer:

(x + 2)² = 16

Step-by-step explanation:

Given

x² + 4x = 12

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(2)x + 4 = 12 + 4, that is

(x + 2)² = 16

3 0

3 years ago

find the equation of the straight line passing through the point (0,-1) which is perpendicular to the line y= -3/4 x-3

Rzqust [24]

Answer:

$4x - 3y -3=0$

Step-by-step explanation:

Given equation ,

$\implies y =\dfrac{-3}{4}x - 3$

Compare it to slope intercept form to find the slope which is $y=mx+c$ , we have ,

$m =\dfrac{-3}{4}$

Now we know that the product of slope of two perpendicular lines is-1 . Hence the slope of the perpendicular line is ,

$m_{perp}= \dfrac{4}{3}$

The given point is (0,-1) , on using Point slope form of the line we have,

$\implies y-y_1 = m(x - x_1) \\\\\implies y -(-1) = \dfrac{4}{3}(x -0 ) \\\\\implies y + 1 =\dfrac{4}{3}x \\\\\implies \underline{\boxed{\red{ 4x - 3y -3 = 0 }}}$

8 0

3 years ago

0.7x+6=0.3(4x+6)−2x

Gelneren [198K]

Answer: $x=-2.8$

Step-by-step explanation:

Given the following equation:

$0.7x+6=0.3(4x+6)-2x$

You can follow these steps in order to solve for "x" and find its value:

1. Apply Distributive property on the right side of the equation:

$0.7x+6=0.3(4x+6)-2x\\\\0.7x+6=1.2x+1.8-2x$

2. Subract $0.7x$ from both sides and add the like terms:

$0.7x+6-(0.7x)=1.2x+1.8-2x-(0.7x)\\\\6=-1.5x+1.8$

3. Subtract 1.8 from both sides:

$6-(1.8)=-1.5x+1.8-(1.8)\\\\4.2=-1.5x$

4. Finally, divide both side of the equation by -1.5:

$\frac{4.2}{-1.5}=\frac{-1.5x}{-1.5}\\\\x=-2.8$

8 0

4 years ago

Read 2 more answers

Probability please help i will give brainliest

padilas [110]

There are (5 C 1) = 5! / (5 - 1)! = 5 ways of drawing a red marble, and (11 C 1) = 11! / (11 - 1)! = 11 ways of drawing any marble, so that the probability of drawing a red marble is 5/11.

After putting back the first marble, the probability of drawing another red is again 5/11.

So the probability of drawing 2 red marbles with replacement is (5/11)² = 25/121.

5 0

3 years ago

What am i suppost to do with the remainder when dividing fractions

antoniya [11.8K]

Put it in your answer I think

7 0

3 years ago