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Aneli [31]
3 years ago
13

PLEASE HELP Line A is represented by the equation, y = 1/4x + 5 . (a) Write in slope-intercept form, the equation of a line that

is steeper than line A. (b) Write in slope-intercept form the equation of a line that is a vertical shift down 4 units from line A.

Mathematics
1 answer:
motikmotik3 years ago
7 0

Answer:

a) y= 2x +3

b) y= ¼x +1

Step-by-step explanation:

Please see the attached picture for the full solution.

Further explanation:

b) y-intercept of A= 5

y-intercept of line= 5 -4= 1

Since the gradient of the line is equal to the gradient of line A, gradient of line= ¼.

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What is the 7th term of the geometric sequence where a1 = -5 and a5 = -1,280?
8_murik_8 [283]
Any geometric sequence can be expressed as:

a(n)=ar^(n-1), a=initial term, r=common ratio, n=term number.

Here we are give the initial term so we have to solve to solve for the common ratio...

a(5)=-1280 and a(1)=-5 so

-1280=-5r^(5-1)

-1280=-5r^4

256=r^4

256^(1/4)=r

4=r, so our sequence is:

a(n)=-5(4^(n-1)), so the 7th term is:

a(7)=-5(4^6)

a(7)= -20480


3 0
3 years ago
Which type of business is strong steel manufacturers
Tom [10]

I'm pretty sure a strong steel manufactures would be a corporation. I hope this helps!

5 0
4 years ago
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Write the integer's that represent the situation 70 degrees above zero=?
guapka [62]

+70 degrees above zero. That's the way I would write it. If it is in a sentence, it would be something like "Today's temperature was 70 degrees above zero. Terribly hot!! like a sauna." I'm thinking Centigrade when I make this statement. I don't think there's a place on earth that's ever recorded that temperature.

But you want an integer. So it is 70

3 0
3 years ago
Could someone help me understand how to solve this?
monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula I=P\cdot r\cdot t, where

I = interest

P = principal

r = rate (as decimal)

t = time.

<u>4% account:</u>

P_1=x\\ \\r_1=0.04\\ \\t_1=1,

then

I_1=x\cdot 0.04\cdot 1=0.04x

<u>5% account:</u>

P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,

then

I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)

You have earned $69.50 in total, so

I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950

Amount in 4% account: $550

Amount in 5% account: $950

8 0
3 years ago
Siimplify by combining like terms 5x+3+x+4
Murrr4er [49]

Answer:

6x+7

Step-by-step explanation:

5x+x+3+4

=6x+7

8 0
3 years ago
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