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3 years ago

13

My car gets 34 miles per gallon at 60 miles per hour. Is the number of miles I can drive at 60 miles per hour a linear function

of the number of gallons of gas in the tank?

1 answer:

Assoli18 [71]3 years ago

7 0

Answer: Yes,

Step-by-step explanation: If you have less than 60 miles in your gas tank it will not last 1 hour.

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Conner and Jana are multiplying (3568)(39610).

shepuryov [24]

Jena work is correct

7 0

3 years ago

Read 2 more answers

Expand And Simplify The Following:

Georgia [21]

For all the questions, we will be using the FOIL pattern.
1. $(x+3)(x-3)(3x+2)$
$(x^2-3x+3x-9)(3x+2)$
$(x^2-9)(3x+2)$
$3x^3+2x^2-27x-18$
2. $(2x+1)(x-2)(x+3)$
$(2x^2-4x+x-2)(x+3)$
$(2x^2-3x-2)(x+3)$
$2x^3+3x^2-11x-6$
3. $(x-3)(2x+1)(3x-2)$
$(2x^2+x-6x-3)(3x-2)$
$(2x^2-5x-3)(3x-2)$
$6x^3-19x^2+x+6$
Hope this helped!

8 0

3 years ago

Read 2 more answers

Solve for x in the equation.

labwork [276]

Answer:

The solution is $\displaystyle x=1\pm \sqrt{47}$ . Fourth option

Explanation:

Solve for x:

$2x^2+3x-7=x^2+5x+39$

Move all the terms from the right to the left side of the equation, a zero in the right side:

$2x^2+3x-7-x^2-5x-39=0$

Join all like terms:

$x^2-2x-46=0$

The general form of the quadratic equation is:

$ax^2+bx+c=0$

Solve the quadratic equation by using the formula:

$\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

In our equation: a=1, b=-2, c=-46

Substituting into the formula:

$\displaystyle x=\frac{-(-2)\pm \sqrt{(-2)^2-4(1)(-46)}}{2(1)}$

$\displaystyle x=\frac{2\pm \sqrt{4+184}}{2}$

$\displaystyle x=\frac{2\pm \sqrt{188}}{2}$

Since 188=4*47

$\displaystyle x=\frac{2\pm \sqrt{4*47}}{2}$

Take the square root of 4:

$\displaystyle x=\frac{2\pm 2\sqrt{47}}{2}$

Divide by 2:

$\displaystyle x=1\pm \sqrt{47}$

First option: Incorrect. The answer does not match

Second option: Incorrect. The answer does not match

Third option: Incorrect. The answer does not match

Fourth option: Correct. The answer matches exactly this option

8 0

3 years ago

Which of the following possibilities will NOT form a triangle? (5 points)

ruslelena [56]

<h3>Answer: Choice A</h3>

Side = 5 ft, side = 15 ft, side = 3 ft

Explanation:

The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.

If we want a triangle to happen, then adding any two sides must be larger than the third side.

If we want a triangle with sides a,b,c, then we need the following to be true

a+b > c
a+c > b
b+c > a

Refer to the triangle inequality theorem for more information.

3 0

2 years ago

Drag the tiles to the correct boxes to complete the pairs.

solong [7]

Answer:

1. Number line 2

2. Number line 1

3. Number line 4

4. Number line 3

Step-by-step explanation:

1. x – 99 ≤ -104

Solving by adding +99 on both sides

x - 99 +99 ≤ -104 +99

x ≤ -5

Number line 2 represent x ≤ -5

2. x – 51 ≤ -43

Adding +51 on both sides

x -51 +51 ≤ -43 +51

x ≤ 8

Number line 1 represent x ≤ 8

3. 150 + x ≤ 144

Adding -150 on both sides

150 + x -150 ≤ 144 -150

x ≤ -6

Number line 4 represent x ≤ -6

4. 75 < 69 – x

Adding +x on both sides

75 + x < 69 -x +x

x < 69 -75

x < -6

Number line 3 represent x < -6

8 0

3 years ago