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Svetllana [295]
2 years ago
14

What is the point-slope form of a line that has a slope of –4 and passes through point (–3, 1)?

Mathematics
1 answer:
ivolga24 [154]2 years ago
4 0

Answer:

y-1= -4(x-(-3))

y minus 1 = negative 4 left-bracket x minus (negative 3) right-bracket

Step-by-step explanation:

The formula for point slope form is written: y-y_{1} = m(x-x_{1}). Now we fill in our know information. m=-4 (because that is the slope), y_{1}=1 (It is the y value in the ordered pair), x_{1}= -3 (It is the x value in the ordered pair).

y-1=-4(x- (-3))

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Cuál es el resultado de |-15| x (-5)​
notka56 [123]

Answer:

\frac{15}{x^5}

Step-by-step explanation:

\left|-15\right|x^{-5}

Step 1: Apply exponent rule: \:a^{-b}=\frac{1}{a^b}

=\left|-15\right|\frac{1}{x^5}

Step 2: Multiply fractions: a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{1\cdot \left|-15\right|}{x^5}

Step 3: Simplify

=\frac{15}{x^5}

The result is =\frac{15}{x^5}

<u>Spanish/Espanól</u>

Respuesta:

\frac{15}{x^5}

Explicación paso a paso:

\left|-15\right|x^{-5}

Paso 1: aplique la regla del exponente: \:a^{-b}=\frac{1}{a^b}

=\left|-15\right|\frac{1}{x^5}

Paso 2: multiplica fracciones: a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}

=\frac{1\cdot \left|-15\right|}{x^5}

Paso 3: simplifica

=\frac{15}{x^5}

El resultado es =\frac{15}{x^5}

7 0
2 years ago
Four bagels and eight muffins cost $16. Six bagels and five muffins cost $13.50 How much does a bagel cost? How much does a muff
Ivahew [28]

Answer:

Your friend is here to help you it's me nick okay the answer is sorry I forgot I'm just a stupid girl who knows nothing I'm sorry nick[cries] I tried but I forgot

Step-by-step explanation:

6 0
3 years ago
part 2 : A local pizzeria sold 72 pizzas yesterday. Suppose the actual number of pizzas sold was 77. Determine if the number of
svp [43]

Answer: 6.9% increase


Step-by-step explanation: original: 72

                                              new: 77          5              x         =     500    = 6.9%

                                                                      72           100               72


8 0
2 years ago
Christine,milan, and Scott sent a total of 145 messages during the weekend . Christine sent 7 more messages than Scott . Milan s
AURORKA [14]

Answer:

number of message sent by Scott is 23

number of message sent by Christine is   30

number of message sent by Milan is 92

Step-by-step explanation:

Total message sent by Christine,Milan, and Scott : 145

Let number of message sent by Scott be x .

Given that Christine sent 7 more messages than Scott

number of message sent by Christine is   x+7

It is also given that  Milan sent 4 times as many messages as Scott

number of message sent by Milan is   4*x = 4x.

Thus, sum of message sent by Christine,milan, and Scott  in terms of x

= x + x + 7 + 4x = 6x + 7

we already know that Total message sent by Christine,milan, and Scott is 145

thus,  6x + 7 should be equal to 145

6x + 7 = 145

=>6x = 145 - 7 = 138

=> x = 138/6 = 23

Thus,  

number of message sent by Scott is x = 23

number of message sent by Christine is   x+7 = 23+7 = 30

number of message sent by Milan is   4x = 4*23 = 92

3 0
3 years ago
A farmer plans to enclose two adjacent rectangular pens against a barn wall (see figure).
Licemer1 [7]

Answer: Let's assume that the pig pens need to be fenced in the way shown in the diagram above.

Then, the perimeter is given by

4

x

+

3

y

=

160

.

4

x

=

160

−

3

y

x

=

40

−

3

4

y

The area of a rectangle is given by

A

=

L

×

W

, however here we have two rectangles put together, so the total area will be given by

A

=

2

×

L

×

W

.

A

=

2

(

40

−

3

4

y

)

y

A

=

80

y

−

3

2

y

2

Now, let's differentiate this function, with respect to y, to find any critical points on the graph.

A

'

(

y

)

=

80

−

3

y

Setting to 0:

0

=

80

−

3

y

−

80

=

−

3

y

80

3

=

y

x

=

40

−

3

4

×

80

3

x

=

40

−

20

x

=

20

Hence, the dimensions that will give the maximum area are

20

by

26

2

3

feet.

A graphical check of the initial function shows that the vertex is at

(

26

2

3

,

1066

2

3

)

, which represents one of the dimensions that will give the maximum area and the maximum area, respectively.

Hopefully this helps!

Step-by-step explanation: hope this helps

3 0
2 years ago
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