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romanna [79]
3 years ago
7

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx

+ b.
A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is
Mathematics
1 answer:
tester [92]3 years ago
4 0

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point P(x_o,y_o)and it has slope m, the equation of the line is:

y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18

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William uses 5/6 gallon of paint to cover 1 wall. He has 5 gallons of paint. How many walls can he paint​
Oduvanchick [21]
28 gallons of paint to paint the walll
8 0
3 years ago
Use the Distributive Property to simplify the expression. (8⋅7)+(8⋅5)
yawa3891 [41]

Answer:

56 + 40

Step-by-step explanation:

multiply what is in the parenthesis, don't solve all the way because the instructions say to <em>simplify</em><em>.</em>

7 0
2 years ago
Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first
Pepsi [2]

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14  

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation :  4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

               = 3×(29)+43 = 130.

:)

4 0
3 years ago
A geometric series has second term 375 and fifth term 81 . find the sum to infinity of series .
Eduardwww [97]

Answer:  \bold{S_{\infty}=\dfrac{3125}{2}=1562.5}

<u>Step-by-step explanation:</u>

  a₁,  375,  a₃,   a₄,  81

First, let's find the ratio (r). There are three multiple from 375 to 81.

375r^3=81\\\\r^3=\dfrac{81}{375}\\\\\\r^3=\dfrac{27}{125}\qquad \leftarrow simplied\\\\\\\sqrt[3]{r^3} =\sqrt[3]{\dfrac{27}{125}}\\ \\\\r=\dfrac{3}{5}

Next, let's find a₁

a_1\bigg(\dfrac{3}{5}\bigg)=375\\\\\\a_1=375\bigg(\dfrac{5}{3}\bigg)\\\\\\a_1=125(5)\\\\\\a_1=625

Lastly, Use the Infinite Geometric Sum Formula to find the sum:

S_{\infty}=\dfrac{a_1}{1-r}\\\\\\.\quad =\dfrac{625}{1-\frac{3}{5}}\\\\\\.\quad =\dfrac{625}{\frac{2}{5}}\\\\\\.\quad = \dfrac{625(5)}{2}\\\\\\.\quad = \large\boxed{\dfrac{3125}{2}}

7 0
3 years ago
Farmer yoy started with 74 habs on his farm. Every hour, he squashed 1 more of them. Farmer umpt started with 54 habs on her far
bearhunter [10]

Answer:

4 hours it will take for them to be equal.

Step-by-step explanation:

every hour Umpt collects 4

every hour Yoy loses 1,

54 + 4 = 58 +4 = 62 + 4 = 66 + 4 = 70

74 - 1 = 73 - 1 = 72 - 1 = 71 - 1 = 70

5 0
3 years ago
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