Answer:
D.) x = 7
Step-by-step explanation:
4x - 9x + 3 = -32
The first thing we do is combine like terms which means to add or subtract or multiply or divide any numbers that are known. Here in this equation we have 4x and - 9x
4x - 9x + 3 = -32
- 5x + 3 = - 32
Now what we do is subtract the common numeral from the side where the x value is.
- 5x + 3 = - 32
- 3. - 3
- 5x = - 35
Lastly, we divide here we take the value next to x and divide both numbers, here we will divide by - 5.
- 5x = - 35
- 5x / - 5 = x
- 35 / - 5 = 7
Now we take are two solutions and create are final solution.
x = 7
Answer:
35° and 85°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Since one angle = 60° then the sum of the other 2 angles = 120°
Sum the parts of the ratio 7 + 17 = 24 parts, hence
= 5° ← value of 1 pat of the ratio, hence
7 parts = 7 × 5° = 35°
17 parts = 17 × 5° = 85°
note that 60° + 35° + 85° = 180°
Answer:
Amount of money paid by each student is equal to 
Step-by-step explanation:
Given: A group of children bought
presents that cost
each and a card that cost
.
To find: amount of money each student paid in terms of 
Solution:
Cost of each present 
Cost of
presents 
Cost of a card 
Therefore,
Amount of money paid by each student in terms of
= Cost of
presents + Cost of a card

The area of all paralellograms can be found by
area=base times height
so
area=26 and 1/2
height=6 and 5/8
convert to improper fractions for ease of use
26 and 1/2=52/2+1/2=53/2
6 and 5/8=48/8+5/8=53/8
so
area=height times base
53/2=53/8 times base
multiply both sides b 8/53 so that we clar the fraction (53/8 times 8/53=424/424=1)
(53 times 8)/(53 times 2)=1base
8/2=1base
4=base
answer is base=4 units
Answer:
1. Fill in the box with 1
2. Fill in the box with -2
Step-by-step explanation:
Expression:
![(-2x^3 + [\ ]x)(x^{[\ ]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B%5C%20%5Dx%29%28x%5E%7B%5B%5C%20%5D%7D%2B1.5%29%20%3D%20A)
Solving (1): Fill in the box to make it a polynomial.
To make it a polynomial, we simply fill in the box with a positive integer (say 1)
Fill in the box with 1
![(-2x^3 + [1]x)(x^{[1]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B1%5Dx%29%28x%5E%7B%5B1%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets


Open bracket

Reorder

The above expression is a polynomial.
This will work for any positive integer filled in the box
Solving (2): Fill in the box to make it not a polynomial.
The powers of a polynomial are greater than or equal to 0.
So, when the boxes are filled with a negative integer (say -2), the expression will cease to be a polynomial
Fill in the box with -2
![(-2x^3 + [-2]x)(x^{[-2]}+1.5) = A](https://tex.z-dn.net/?f=%28-2x%5E3%20%2B%20%5B-2%5Dx%29%28x%5E%7B%5B-2%5D%7D%2B1.5%29%20%3D%20A)
Remove the square brackets

Reorder

Open brackets

Collect Like Terms


Notice that the least power of x is -1.
Hence, this is not a polynomial.