How to simplify a mixed number

1 answer:

6 0

Okay I will have an example for you. 3 and 2/7. STEP 1) multiply the denominator by the whole number. 3×7=21. STEP 2) add the numerator to 21. 21+2=23. STEP 3) 23 is the new numerator so put 23 over 7. FINAL SOLUTION 23/7.

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Find the limit of the function algebraically. limit as x approaches negative nine of quantity x squared minus eighty one divided

scoray [572]

Let me express the equation clearly:

lim x→-9 (x²-81)/(x+9)

Initially, we solve this by substituting x=-9 to the equation.

((-9)²-81)/(-9+9) = 0/0

The term 0/0 is undefined. This means that the solution is not see on the number line because it is imaginary. Other undefined terms are N/0 (where N is any number), 0⁰, 0×∞, ∞-∞, 1^∞ and ∞/∞. One way to solve this is by applying L'Hopitals Rule. This can be done by differentiating the numerator and denominator of the fraction independently. Then, you can already substitute the x=-9.

(2x-0)/(1+0) = 2x = 2(-9) = -18

The other easy way is to substitute x=-8.999 to the original equation. Note that the term x→-9 means that x only approaches to -9. Thus, you substitute a number that is very close to -9. Substituting x=-8.999

((-8.999)²-81)/(-8.999+9) = -18

7 0

3 years ago

Find the degree of the polynomial 7a3b2 – 2a4 + 4b – 15 Degree

vesna_86 [32]

When ur polynomial has more then one variable....and this one does...the degree is the highest term degree

7a^3b^2 ....this term has a degree of 5
2a^4...this term has a degree of 4
4b....this term has a degree of 1
15....this term has a degree of 0

so the highest degree term has a degree of 5....so that is the degree of this polynomial.

now if u just had 1 variable, the degree would be the highest exponent

3 0

3 years ago

Diagram shows a section of a bridge between the points A and K. The length of line segment is 640 meters. ∆ABC, ∆CDF, and ∆FJK a

Marta_Voda [28]

AK = 640
Δ ABC and ΔFJK are similar. They are small triangles.
ΔCDF is the big triangle.

640 / 2 = 320 m= CF
AC & FK= 320/2 = 160 m each

2AC = CF = 2FK
2(160) = 320 = 2(160)

BG = 20 m

20/160 = x / 320
20*320 = 160x
6400 = 160x
6400/160 = x
40 = x

Area of CDF = (40 m * 320 m)/2 = 12,800 / 2= 6,400 m²

3 0

2 years ago

Angela shared a cab with her friends. When they arrived at their destination, they evenly divided the

FrozenT [24]

Answer:

$\frac{48+5j}{j}$

Step-by-step explanation:

Complete Question:

Angela shared a cab with her friends . When they arrived at their destination, they evenly divided the $48 fare among "j" of them . Angela gave the cab $5 tip. How much did Angela pay in total?

Solution:

The fare was $48 and including Angela, there were j people, so each paid:

48/j

Also, Angela paid $5 additionally.

So, Angela paid:

48/j --- when dividing evenly

5 --- as a tip

Total Angela Paid: $=\frac{48}{j}+5\\=\frac{48+5j}{j}$

Total Payment: $\frac{48+5j}{j}$

8 0

2 years ago

Read 2 more answers

Plss answer with the process

Lilit [14]

Reggie’s speed = distance/time

Reggie’s speed = 40.2 / 2.5

Reggie’s speed = 16.08 mi/hr

Craig’s speed = distance/time

Craig’s speed = 30.8 / 1.875

Craig’s speed = 16.43 mi/hr

Hence, answer is Craig

4 0

3 years ago