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goldfiish [28.3K]
3 years ago
10

What is the equation of a line with a slope of 4 that passes through point (-2,5)

Mathematics
1 answer:
12345 [234]3 years ago
8 0

Point slope form is:  y - y1 = m(x - x1)

So we plug in the point we were given, and use the slope, m:

 

y -5 = 4(x - 2) ANSWER

 

Now: y - 5 = 4x - 8,

 

so:         y = 4x - 8 +5  

 

so:        y = 4x - 3 ANSWER  

                 (SLOPE INTERCEPT FORM IS: y =mx + b)    

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Uh Expanded form pls? 4.02 x 10^5
Vera_Pavlovna [14]

Answer:

4.02 x 10 x 10 x 10 x 10 x 10

Step-by-step explanation:

The part that needs expanding is the exponent. Since it is to the power of 5 there needs to be 5 written out 10's, all multiplied.

4.02 x 10 x 10 x 10 x 10 x 10

4 0
3 years ago
Read 2 more answers
a trucking company shipped a total 151,375 boxes of fruit across the company. How many thousands of boxes of fruit were shipped?
Ostrovityanka [42]

Answer:

The trucking company shipped a total of 151 thousands of boxes of fruits

Step-by-step explanation:

Total boxes of fruits shipped= 151,375

How many thousands of boxes of fruit were shipped?

To find the thousands of boxes of fruits shipped, divide the total number of boxes of fruits shipped by 1000

That is

151,375 / 1000

= 151.375

Therefore, the trucking company shipped a total of 151 thousands of boxes of fruits

151,375

Place value of each figure from right to left

5= one

7= tens

3= hundred

1= thousand

5= ten thousand

1= hundred thousand

4 0
3 years ago
ANYONE...........help​
KATRIN_1 [288]

Answer:

  • 1 cm

Step-by-step explanation:

<u>Sides of the picture added margin:</u>

  • l = 8 + 2x
  • w = 5 + 2x
  • A(margin) = 30 cm²

<u>Solution</u>:

  • A(margin) = Total area - A(picture)
  • (8 + 2x)(5 + 2x) - 5*8 = 30
  • 4x² + 10x + 16x + 40 - 40 - 30 = 0
  • 4x² + 26x - 30 = 0
  • 2x² + 13x - 15 = 0
  • x = (-13 + √(13² + 2*4*15))/4
  • x = (-13 + 17)/4
  • x = 1 cm

Note. The other root is ignored as negative.

3 0
3 years ago
Orwell building supplies' last dividend was $1.75. Its dividend growth rate is expected to be constant at 38.00% for 2 years, af
WITCHER [35]

Answer:

Estimated current stock price is $46.84

Step-by-step explanation:

First we have to find the value of dividend payment t_1, t_2 \& t_3

Given D_0=$1.75

Yearly growth rate for next 2 years( g_1 )=38.00%

D_1=\$1.75\times 1.38=\$2.42

D_2=\$2.42\times1.38=\$3.34

Growth after two years will 6% indefinitely

g_2=6\%=\dfrac{6}{100}=0.06

D_3=\$3.34\times1.06=\$3.54

Estimate of current stock price is

=\dfrac{D_1}{(1+r)}+\dfrac{D_2}{(1+r)^{2}}+\dfrac{\dfrac{D_3}{(r-g_2)}}{(1-r)^{3}}

=\dfrac{\$2.42}{(1.12)}+\dfrac{\$3.34}{(1.12)^{2}}+\dfrac{\dfrac{\$3.54}{(0.12-0.06)}}{(1.12)^{3}}

=$46.84

Estimate of current stock price is =$46.84

3 0
3 years ago
The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a fu
gulaghasi [49]

Answer with Step-by-step explanation:

The height of the ball from the ground as a function of time is given by

h(t)=-16t^2+80t+4

The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16\times 2^2+80\times 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16\times 4^2+80\times 4+4=68feet

4 0
3 years ago
Read 2 more answers
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