We have that
<span>question 1
Add or subtract.
4m2 − 10m3 − 3m2 + 20m3
=(4m2-3m2)+(20m3-10m3)
=m2+10m3
the answer is the option
</span><span>B: m2 + 10m3
</span><span>Question 2:
Subtract. (9a3 + 6a2 − a) − (a3 + 6a − 3)
=(9a3-a3)+(6a2)+(-a-6a)+(-3)
=8a3+6a2-7a-3
the answer is the option
</span><span>B: 8a3 + 6a2 − 7a + 3
</span><span>Question 3:
A company distributes its product by train and by truck. The cost of distributing by train can be modeled as −0.06x2 + 35x − 135, and the cost of distributing by truck can be modeled as −0.03x2 + 29x − 165, where x is the number of tons of product distributed. Write a polynomial that represents the difference between the cost of distributing by train and the cost of distributing by truck.
we have that
[</span>the cost of distributing by train]-[the cost of distributing by truck]
=[−0.06x2 + 35x − 135]-[−0.03x2 + 29x − 165]
<span>=(-0.06x2+0.03x2)+(35x-29x)+(-135+165)
=-0.03x2+6x+30
the answer is the option
</span><span>C: −0.03x2 + 6x + 30
</span><span>
</span>
2 x 9 - 3 x 5 + 4
In math/s we have the rule called BEDMAS
(a.k.a. BODMAS, BIDMAS, PEDMAS, etc)
Brackets
Exponent
Division
Multiplication
Addition
Subtraction
We go from top to bottom of the list of rules for every math equation. There’s just one exception, addition and subtraction are treated equally, and so when we have an equation with just addition and subtraction, we work left to right
2 x 9 - 3 x 5 + 4
We have no brackets and no exponents, and there’s nothing to divide.
So, we do multiplication
18 - 15 + 4
If you remember, addition and subtraction are treated the same. Therefore, we work left to right.
18 - 15 + 4 = 7
You can type your question into goorgle or a calculator, and you’ll get 7!
Use decimals like 6.5 + 6.5= 13
Answer:
8 cm
Step-by-step explanation:
(See the image attached for details)
- The blue segment measures 15 cm
- The green segment measures 7 cm
- The green and yellow segment when added form the blue segment
- So: ? + 7 = 15
Solve:
? + 7 = 15
Subtract 7 on both sides:
? + 7 = 15
-7 -7
? = 8 cm
Therefore, the yellow segment, or the missing side length, measures 8 cm.
