Solve: 51 ÷ [(-15) + (-2)

diamong [38]

Hey there,

The question given is as follows:

(3x² - 4x + 8) + (-x² - 2x - 8)

When we add polynomials we add like terms (e.x. we add 3x² with -x²) and combine the two to make one polynomial. When we add the two polynomials given above:

2x² - 6x + 0

So our answer to the problem would be 2x² - 6x.

Hope I helped,

Amna

3 0

4 years ago

How do I find if this type of equation has one solution two solutions or no solution 5x^2+14=19 I tried using the b^-4ac method

mash [69]

Answer:

x = 5 and x = -19

Step-by-step explanation:

You're on the right track. It's the "discriminant" that tells you what you want to know here. Before starting, arrange the terms of your quadratic in descending orders of x: 5x^2 + 14x - 19 = 0 (Note that I assumed you meant 14x instead of just 14).

Then the coefficients of this quadratic are a = 5, b = 14 and c = -19.

You are referring to the "quadratic formula." It states this:

-b ± √(b²-4ac)

x = -----------------------

2a

So, we insert the a, b and c values as indicated above:

-14 ± √( 14² - 4[5][-19] ) -14 ± √(196 - 4[5][-19] ) -14 ± √576

x = ----------------------------------- = ---------------------------------- = ----------------------

2(10) 20 20

This comes out to:

x = (-14 + 24) / 2 and x = (-14 - 24) / 2

or:

x = 5 and x = -19

8 0

4 years ago

A dance academy charges $24 per class and a one time registration fee of $15. A student paid a total of $687 to the academy. Fin

dem82 [27]

Answer:

The student took 28 classes

Step-by-step explanation:

What I did was minus $15 from the $687 total, cause $15 is only a one time registration fee, then 687-15=672, so then I divided 672 by the cost per class, so $24, 672 divided by 24 equals to 28, so the student took 28 classes.

5 0

3 years ago

Jana is decorating 6 picture frames by gluing straws around the borders and adding wooden stars at the corners. Each picture fra

zzz [600]

Answer:

C: 48 straws

Step-by-step explanation:

First, find the perimeter of one picture frame: (2 x length) + (2 x width). Convert 20 centimeters to millimeters so that you are working in the same units; there are 10 millimeters in 1 centimeter, so 20 centimeters = 200 millimeters.

(2 x 200) + (2 x 120) = 400 + 240 = 640

Each picture frame has a perimeter of 640 millimeters.

Next, figure out how many straws are needed for one picture frame:

640/80 = 8

Jana uses 8 straws for each picture frame. Since she is decorating 6 picture frames, solve 6 x 8 = 48.

Jana needs 48 straws to complete her project.

3 0

4 years ago

Chocolate chip cookies call for 3 1/4 cups of sugar for 2 1/2 batches. To make 1 1/4 batches of peanut butter cookies you need 1

Troyanec [42]

Answer:

=peanut butter cookie batches require more sugar

Step-by-step explanation:

chocolate chip cookies:

3 1/4 / 2 1/2

7 / 5 = 7 x 2 = 7 cups

4 2 4 5 10

peanut butter cookies:

1 1/4 / 1 3/4

5 / 7 = 5 / 4 = 5 cups

4 4 4 7 7

compare cups

7 , 5 = 49 , 50

10 7 70

=50 = 5 = peanut butter cookie batches require more sugar

70 7

7 0

3 years ago