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3 years ago

HELP PLS ITS DUE IN 30 MINUTESSSS What is the equation of the line that crosses the y-axis at 2 and has a unit rate of 8/2?

Mathematics

2 answers:

labwork [276]3 years ago

8 0

It’s y=2x+2 hope this helps

balu736 [363]3 years ago

6 0

Answer:

the first one

Step-by-step explanation:

u still need explanation?

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Gonna.........................

AlladinOne [14]

Answer:

B. -8

Step-by-step explanation:

x-3y=136

18x+3y=-288

add the equations

19x=-152

divide by 19

x=-8

3 0

3 years ago

A shipping company is creating their own shipping boxes. They have created a box with a volume of 800in^3, a helght of 8 inches

Kazeer [188]

Answer:

Length=10 Inches

Width=10 Inches

Step-by-step explanation:

Volume of the box $=800in^3$

Height=8 Inches

Base Perimeter =40 Inches

Volume of a box=lbh

SInce h=8 in, V=800.

Then:

8bl=800

bl=100

$l=\frac{100}{b}$

Base Perimeter=40 Inches

Perimeter of the Base= 2(l+b)

Therefore: 2(l+b)=40

Substituting $l=\frac{100}{b}$

$2(\frac{100}{b}+b)=40\\\frac{100+b^2}{b}=20\\$Cross Multiply\\100+b^2=20b\\b^2-20b+100=0\\$Solving the quadratic equation \\b^2-10b-10b+100=0\\b(b-10)-10(b-10)=0\\(b-10)(b-10)=0\\b-10=0 (Twice)\\b=10 \:Inch$

Recall:

$l=\frac{100}{b}=\frac{100}{10}\\l=10 Inch$

Therefore:

Length=10 Inches

Width=10 Inches

8 0

3 years ago

What is the nth term rule of the quadratic sequence below?

Vladimir [108]

Answer:

3n² + 5n - 2

Step-by-step explanation:

Given sequence:

6, 20, 40, 66, 98, 136, ...

Calculate the first differences between the terms:

$6 \underset{+14}{\longrightarrow} 20 \underset{+20}{\longrightarrow} 40 \underset{+26}{\longrightarrow} 66 \underset{+32}{\longrightarrow} 98 \underset{+38}{\longrightarrow} 136$

As the first differences are not the same, calculate the second differences:

$14 \underset{+6}{\longrightarrow} 20 \underset{+6}{\longrightarrow} 26 \underset{+6}{\longrightarrow} 32 \underset{+6}{\longrightarrow} 38$

As the second differences are the same, the sequence is quadratic and will contain an n² term.

The coefficient of the n² term is half of the second difference.

Therefore, the n² term is: 3n²

Compare 3n² with the given sequence:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 & 3 & 12 & 27 & 48 \\\cline{1-5} \sf operation & +3&+8 & +13 & +18 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

The second operations are different, therefore calculate the differences between the second operations:

$3 \underset{+5}{\longrightarrow} 8 \underset{+5}{\longrightarrow} 13\underset{+5}{\longrightarrow} 18$

As the differences are the same, we need to add 5n as the second operation:

$\begin{array}{|c|c|c|c|c|}\cline{1-5} n & 1 & 2 & 3 & 4\\\cline{1-5} 3n^2 +5n & 8&22 & 42 & 68\\\cline{1-5}\sf operation & -2 &-2 &-2 & -2 \\\cline{1-5} \sf sequence & 6 & 20 & 40 & 66\\\cline{1-5}\end{array}$

Finally, we can clearly see that the operation to get from 3n² + 5n to the given sequence is to subtract 2.

Therefore, the nth term of the quadratic sequence is:

3n² + 5n - 2

6 0

2 years ago

What time did Katie start practicing if ate snack for 15min, watched tv for 30 min and practiced for 45 minutes

VMariaS [17]

If she ended at 6 pm.

practiced for 45 minutes. 6 pm work back 45 minutes, she started practicing at 5:15pm.

watched tv for 30 minutes. 5:15 pm work back 30 minutes, she started watching tv at 4:45 pm

ate snack for 15 minutes. 4:45 pm work back 15 minutes, she started eating her snacks at 4:30 pm.

8 0

3 years ago

Which point best represents pi? Explain your answer.

MaRussiya [10]

Answer:

A and A- minus that is my best time

5 0

3 years ago