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3 years ago

Jackson averages 6.2 points per game. His team has played 15 games. How many points has Jackson scored?

Mathematics

1 answer:

pantera1 [17]3 years ago

5 0

Answer: 6.2 x 15 = A

93 points.

Step-by-step explanation:

Where A is your answer. This is a simple multiplication problem, so we could alternatively add 6.2 15 times.

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Please answer this quickly !

nika2105 [10]

Answer:

The first option.

Because we're solving for the price of each gallon, x will represent the cost of each gallon. Since 8.4 is the total amount of gallons, multiply 8.4 and x to get $23.94. Solve for x by dividing 23.94 to get $2.85 per gallon. To check this, substitute 2.85 for x into the equation: 8.4 (2.85) = 23.94

4 0

3 years ago

The difference between the two roots of the equation 3x^2+10x+c=0 is 4 2/3 . Find the solutions for the equation.

andrezito [222]

Answer:

Given the equation: $3x^2+10x+c =0$

A quadratic equation is in the form: $ax^2+bx+c = 0$ where a, b ,c are the coefficient and a≠0 then the solution is given by :

$x_{1,2} = \frac{-b\pm \sqrt{b^2-4ac}}{2a}$ ......[1]

On comparing with given equation we get;

a =3 , b = 10

then, substitute these in equation [1] to solve for c;

$x_{1,2} = \frac{-10\pm \sqrt{10^2-4\cdot 3 \cdot c}}{2 \cdot 3}$

Simplify:

$x_{1,2} = \frac{-10\pm \sqrt{100- 12c}}{6}$

Also, it is given that the difference of two roots of the given equation is $4\frac{2}{3} = \frac{14}{3}$

i.e,

$x_1 -x_2 = \frac{14}{3}$

Here,

$x_1 = \frac{-10 + \sqrt{100- 12c}}{6}$ , ......[2]

$x_2= \frac{-10 - \sqrt{100- 12c}}{6}$ .....[3]

then;

$\frac{-10 + \sqrt{100- 12c}}{6} - (\frac{-10 + \sqrt{100- 12c}}{6}) = \frac{14}{3}$

simplify:

$\frac{2 \sqrt{100- 12c} }{6} = \frac{14}{3}$

$\sqrt{100- 12c} = 14$

Squaring both sides we get;

$100-12c = 196$

Subtract 100 from both sides, we get

$100-12c -100= 196-100$

Simplify:

-12c = -96

Divide both sides by -12 we get;

c = 8

Substitute the value of c in equation [2] and [3]; to solve $x_1 , x_2$

$x_1 = \frac{-10 + \sqrt{100- 12\cdot 8}}{6}$

$x_1 = \frac{-10 + \sqrt{100- 96}}{6}$ or

$x_1 = \frac{-10 + \sqrt{4}}{6}$

Simplify:

$x_1 = \frac{-4}{3}$

Now, to solve for $x_2$ ;

$x_2 = \frac{-10 - \sqrt{100- 12\cdot 8}}{6}$

$x_2 = \frac{-10 - \sqrt{100- 96}}{6}$ or

$x_2 = \frac{-10 - \sqrt{4}}{6}$

Simplify:

$x_2 = -2$

therefore, the solution for the given equation is: $-\frac{4}{3}$ and -2.

3 0

3 years ago

HELP PLEASE TELL ME WHICH ONE WITH AN EXPLAINATION

Alex787 [66]

Answer:

Im not sure, but i think it's the bottom because there not working with negatives

Step-by-step explanation:

Don't put that as the answer tho, im not too sure.

6 0

3 years ago

Read 2 more answers

What is the shape of the cross-section formed when a plane containing line ac and line eh intersects this cube? what is the area

ioda

The shape of the cross-section formed when a plane containing line AC and line EH intersects the cube is a rectangle.

<h3>What is the explanation for the submission above?</h3>

Note that the Area of the cross-section = 16 sqrt(2) = 22.63 sq. units. The justification for this is the properties of the Cubes.

The top face ABCD is parallel and congruent to the bottom face EFGH....(A)

Also, sides AE and CH are perpendicular to faces ABCD and EFGH ....(B)

Mathematically, we can righty state that Diagonals AC and EH are congruent .....(C)

Given the justification by (A), congruent top and bottom faces, let us look at the cross-section ACHE.

AC is congruent and parallel to EH (A) & (C)

EA & HC are perpendicular to AC (B)

Hence, the quadrilateral ACHE is a rectangle.

Step 2

Length of diagonal AC = sqrt(4^2+4^2) = 4 sqrt(2) Pythagoras theorem.

AE = CH = DG = 4 We state this because the of the properties of cube, all sides equal;

Hence, the Area of ACHE = 4* 4sqrt(2) = 16 sqrt(2)

= 22.63 sq. units

Learn more about Cuboids at:
brainly.com/question/1972490
#SPJ1

5 0

2 years ago

PLEASE HELP FOR THIS QUESTION

Ghella [55]

Answer:

3 my guy

Step-by-step explanation:

4 0

2 years ago